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UNITED STATES DEPARTMENT OF COMMERCE Alexander B Trowbridge Secretary
NATIONAL BUREAU OF STANDARDS bull A V Astin Director
TECHNICAL NOTE 362 ISSUED DECEMBER 29 1967
THERMODYNAMIC PROPERTIES OF HE3_ HE4 SOLUTIONS WITH APPLICATIONS TO THE
HE 3_ HE 4 DILUTION REFRIGERATOR
I RAY RAD EBAUGH
Cryogenics Division
Institute for Materials Research
Nationa I Bureau of Standards Boulder Colorado
NBS Technical Notes are designed to supplement the Bureaus regular publications program They provide a means for making available scientific data that are of transient or limited interest Technical Notes may be listed or referred to in the open literature
For sale by the Superintendent of Documents US Government Printing Office Washington DC 20402 Price 70 cents
Table of Contents
Page
Abstract bull viii
1 Introduction bull bull bull bull bull 1
2 Selection of a Theoretical Model 2
3 Computational Methods bull bull bull bull bull 5 3 4
3 1 Properties ot He in Liquid He bullbull 5 3 4
3 2 Properties of the Total He - He Solution 21 3 4
33 Applications to the He - He Dilution Refrigerator 25
4 Results and Discussion bull bull bullbull 37 3 4
4 1 Properties of He in Liquid He 37 3 4 _
4 2 Properties of the Total He - He Solution bull bull bull bull 44 3 4
4 3 Applications to the He - He Dilution Refrigerator 47
5 Conclusions 75
6 References bull 77
7 Appendix A Speclfic Heat ot a Fermi-Dirac Gas 81
8 Appendix B - Physical Constants and Properties of Pure 3 4
He and He 0 bull bull bull bull bull bull bull bull bull bull bull bull 0 bull 0 0 bull 0 82
9 Appendix C - The Correction of ~3 0 in the Concentrated Phase
from Regular Solution Theory 87
10 Appendix D - Tables of Thermodynamic Properties of 3 4
He - He S olutions bull bull bull bull bull bull 89
List of Figures 3 4
Figure 1 Phase Diagram of He - He Solution bull bull bull bull 4 3 4 3
Figure 2 Effective Mass Ratio of He in He as a Function of He
Concentration 8
iii
Table of Contents (continued) Page
Figure 3 The Fermi Temperature and Deviation of the Chemical
Potential from the Ideal Fermi-Dirac Value bullbullbullbullbullbull 12
Figure 4 The Difference in Chemical Potential Between the Conshy3
centrated Phase and Pure He bull 15 3
Figure 5 The Phase Separation Temperature as a Function of He
Concentration 0 bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 18 4
Figure 6 Schematic Diagram of the He 3 - He Dilution
Refrigerator bull bull bull bull bull bull bull bullbullbull 260 bull bull bull bull bull
3 4 Figure 7 The Entropy of He in Liquid He as a Function of
3 Temperature for Various He Concentrations bull 38
3 4 Figure 8 The Enthalpy of He in Liquid He as a Function of
3Temperature for Various He Concentrations bull bull 40
3 4Figure 9 The Osmotic Pressure of He in Liquid He as a Function
of Temperature for Various He 3 Concentrations bull 41 4
Figure 10 Behavior of the Excess He Chemical Potential as Deduced 4
from the Osmotic Pressure of He 3 in He 43 3 4
Figure 11 The Excess Enthalpy of He - He Solutions as a Function 3
of He Concentration for Various Temperatures 45 4
Figure 12 The Vapor Pressure of He 3 - He Solutions Divided by the 3 3
Vapor Pressure of Pure He as a Function of He Concentrashy
tion for Various Temperatures bullbullbull 46
Figure 13 The Deviation from the Ideal Differential Heat of Vaporishy3 4
zation of He - He Solutions bull bull bull 48 Figure l4a Plots of H (X p f T) H (T) and a(T T)~ = H (X T) - H (T)3 3 3 3 t 3
0
V
for Low Temperatures bull bull 49
Figure l4b Plots of H 3(X
t T) H
3(T) and OCT T)~3 for High
Tempe rature s bull bull bull 50
iv
Table of Contents (continued)
Page
Figure 15 The Ratio of Mixer Temperature to Inlet Temperature 2
for Zero Power Input and the Ratio OT as a Function 3 m
of He Concentration in the Circulated Gas 53 3 4
Figure 16 Enthalpy Inversion Curves for He - He Solutions 55
Figure 17 Concentration Profiles for Constant ~ bullbullbull 57 3 4
Figure 18 The Specific Heat of He at Constant ~4 as a Function
of Temperature for Various Mixer Temperatures 58
Figure 19 The Vapor Pressure ot the Liquid in the Still as a
Function of Still Temperature for Various Mixer
Temperatures- bullbullbullbullbullbullbullbullbullbull 59
Figure 20 The Heat of Vaporization and the Vapor Compositlon
(Neglecting Film Flow) for the Liquid in the Still bull bull 60
Figure 2la The Fraction of the Mixer Filled with Dilute Solution as
a Function of Mixer Temperature for the Case
v IV = O 5 bull bull 62 s mc
Figure 21 b The Fraction of the Mixer Filled with Dilute Solution
as a Function of Mixer Temperature for the Case
V IV = 1 bullbullbullbullbullbullbullbullbullbullbullbull 63 s mc
Figure 2lc The Fraction of the Mixer Filled wlth Dilute Solution
as a Function of Mixer Temperature for the Case
V IV = 2 bull 64 s mc
Figure 22a Comparison of Theory and Experiment for the Transient
Behavlor of the Single-Cycle Dilution Refrigerator bullbull 68 3
Figure 22b The Fractional Amount of Pure He Remaining in the
Mixer as a Function of Mixer Temperature 70
Figure 23 A Plot of the Term -(0 01T)(dS3dX)T and the Heat 3
Absorption Rate for the He Extraction Refrigerator 72
v
bull bull bull
Table 1
Table 2
Table 3
Table 4
Table 5
Table 6
Table 7
Table 8
Table 9
Table 10
Table II
Table 12
Table 13
Table 14
Table 15
Table of Contents (continued)
Page
List of Tables 3
Some Temperature Independent Propertles of He 4
in Super fluid He bull bull bull bull bull bull bull bull bull bull bull bull bull bull 9
The Phase Separation Temperature or Solubility 3 4
Curve for Dilute Solutions of He - He bullbullbull 0 bull bull bull 19
Some Physical Constants and Basic Properties of 3 4
Pure He and He Used in this Work bullbullbullbullbullbullbullbullbullbull 84 3
Thermodynamic Properties 01 Pure Liquid He
Below 10 5degK 85 4
Thermodynamic Properties of Pure Liquid He
Below I 5degK bull bull bull 86
The Solubility Curve for Concentrated Solutions of 3 4
He - He 0 bull 0 0 bull bull bull bull bull bull bull 0 bull bull bull 88
The Entropy of He3
in He4
and Its Rate of Change with
Respect to Concentration at Constant Temperature bull bull 90 3
The Chemical Potential of He middot43
in He When the He
Behaves as an Ideal Fermi Dirac Gasmiddot 97 3 4
The Enthalpy of He in He bull bull 101 3 4
The Osmotic Pressure of He in He and the expression
-[ 1l (X T)-1l O(T=O)] bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 1054 4
3 4The Specific Heat of the Total He - He Solution 112
3 4The Entropy of the Total He - He Solution bull bull bull bull lIb
3 The Enthalpy and Excess Enthalpy of the Total He shy
4 He Solutlon 120
3 4The Vapor Pressure of He - He Solutions bull 127 334
The He Concentration in the Vapor Above He - He
Solutions 0 bull bull bull bull bull bull bull 0 bull 0 0 bull bull bull 0 bull bull bull bull 131
vi
Table ot Contents (continued)
Table 16 3
The Enthalpy and Entropy 01 He Along the Solubility
Page
Curve and the Heat Abs orption Rate of the Dilution
Refrigerator 135
Table 17 3
The He Concentration Specific Heat and Entropy at
Constant 11 4
136
vii
ABSTRACT
3 4The thermodynamic properties of liquid He - He solutions beshy
tween 0 and L 5degK are calculated by using the weakly interacting Fermishy3
Dirac gas model for He in He4 Certain experimental data below about
O 4 0 K are used to evaluate s orne of the parameter s in the model The 3 4
properties of both He in He and the total solution are calculated for 3
concentrations of He up to 30 percent All experimental data agree
very well with the calculated results although little data exist below
04degK The calculated properties are used to analyze the behavior of 3 4
the He - He dilution refrigerator in both the continuous and singleshy
cycle processes The maximum heat absorption below about 004degK is 3
found to be 82 T2 joules per mole of He circulated The effect of an 4
imperfect heat exchanger and He circulation on the refrigeration
capacity is discussed An analysis of two new types of single-cycle
processes is also given
Key Words Cryogenics dilution refrigerator enthalpy entropy
Fermi-Dirac gas helium-3 helium-4 liquid mixtures
osmotic pressure quantum fluid specific heat thermoshy
dynamic properties
viii
THERMODYNAMIC PROPERTIES OF HE3 - HE4 SOLUTIONS WITH APPLICATIONS TO THE HE3- HE4
DILUTION REFRIGERATOR
Ray Radebaugh
1 bull Introduction
Early in 1966 Hall et al [1] and Neganovet al [2] independently
succeeded in achieving continuous refrigeration below O 1 0 K using a 3 4
He - He dilution refrigerator Such a refrigerator was first proposed
by London Clarke and Mendoza [ 3] Previously such temperatures
could be reached only by adiabatic demagnetization of a paramagnetic
salt although the process is not a continuous one Since the dilution
refrigerator has certain advantages over adiabatic demagnetization
researchers are rapidly turning their attention to this new technique
Several new dilution refrigerators have been built since early 1966 with
many others in the construction or planning stage Improvements are
constantly being made to these refrigerators and as a result the lowest
temperatures reached with them have steadily been reduced Vilches
and Wheatley have just recently reached O 012 OK in continuous operation
[4] and O 0045degK in transient operation [5] It should be possible to
reach even lower temperatures with this technique but further design reshy3
finements are hampered by a lack of data on the properties of the He shy4
He solutions used in the refrigerator
The purpose of this paper is to present a complete and consistent 3 4
set of data for the thermodynamic properties of liquid He - He solutions
for the temperature range 0 - 1 5 degK Such information is needed to
analyze the performance of dilution refrigerators and to help optimize
their design These data of course are also necessary to predict the 3 4
behavior of any other process which involves He - He solutions at these
temperatures Nothing will be said of the transport properties of the
solutions which are also urgently needed for the optimum design of
dilution refrigerator s
Most of the properties to be discussed in this paper have been
measured experimentally but unfortunately very few of the measureshy
ments have been done below O 5degK An excellent list of the experimenshy
tally determined properties has already been given [ 6] To this list
should be added the recent specific heat measurements of Edwards et al
[7] down to about O 1 oK and of Anderson et al [8] down to about O 004degK
The solubility curve has now been measured extensively down to about
O 02degK [9] The specific heat measurements however are not extensive
enough to permit a deduction of various thermodynamic properties as
functions of temperature and concentration down to OOK without recourse
to some theoretical model In this paper it will be shown that the thermoshy
dynamic properties of a weakly interacting Fermi-Dirac gas are in very 3 4
good agreement with all existing experimental data on He - He solutions
for temperatures below 1 50 K provided that values of certain parameters
of the model are determined from experiments Application of these
thermodynamic properties will then be made to describe the behavior of 3 4
He - He dilution refrigerators The Fermi-Dirac gas model has been
applied previously [ 4 5 10] to the analysis of the dilution refrigerator but
not to the extent of this paper In addition the previous analyses did not 3
take into account interactions between the He atoms in solutionwhich is
important for many of the properties
2 Selection of a Theoretical Model
3 4Experiments have shown that He is not miscible in He for all
3 4concentrations and temperatures The phase diagram of He - He
2
solutions shown in figure 1 indicates that for teITlperatures less than
about O 86 OK certain interITlediate concentrations are not perITlitted 3
Instead the solution separates into a concentrated He phase floating on 3
top of the heavier dilute solution At OaK it is possible to dissolve He
in He 4
up to a concentration of (64 plusmn O 1) percent [ 9] Thus at very low
teITlperatures the only concern is with dilute solutions and essentially 3
pure He Only dilute solutions will be considered here since a satisshy
factory theoretical ITlode1 has not been found for concentrated solutions
i e for concentrations greater than about 20 to 30 percent The propshy3
erties of pure He can of course be deduced directly froITl experiITlenta1
results SOITle of which extend down to the ITlillidegree region
Landau and POITleranchuk[14] were the first to propose a theoreti shy3 4
cal ITlode1 for the behavior of dilute He - He solutions According to
this theory the excitation spectruITl of the liquid is ITlodified by the addition
of noninteracting FerITli quasipartic1es equal in nUITlber to the nUITlber of 3
He atOITls The analysis was liITlited however to the nondegenerate
(high teITlperature) range where the quasipartic1es can be treated as an 3
ideal gas and thus would contribute an aITlount 32 R per ITlo1e of He
to the specific heat of the solution For teITlperatures sOITlewhat less 4
than 1 0 K the specific heat of He becoITles extreITle1y sITlall so the specifshy3
ic heat for T lt 1 deg K is due solely to the He contribution For teITlperashy
tures of about O 5degK and for concentrations less than 15 percent the
prediction of a 32 R contribution to the specific heat has been borne out
by ITleasureITlents of Edwards et al [7] Results of de Bruyn Ouboter
et al [11] above 04degK however appear to be in good agreeITlent only 3 4
in the liITlit of zero concentration This ideal gas ITlodel of He - He
solutions has been used in the past to analyze the behavior of the dilution
refriger ator [ 1 2 6 15]
3
15
~middot10
o
Ishy
~
05 o
A
Lin
e
o -
de B
ruyn
Ou
bo
ter
et
01
(J
-E
dw
ard
s e
t 01
amp
-B
rew
er
an
d K
eys
ton
PH
AS
E
SE
PA
RA
TIO
N
RE
GIO
N
04
06
08
10
02
x
3 4
Fig
ure
1
P
hase
Dia
gra
m o
f H
eH
e S
olu
tio
ns
T
he d
ata
po
ints
are
fro
m s
ev
era
l au
tho
rs
l 71
1
l2J
an
d t
he d
eta
iled
beh
av
ior
at
the in
ters
ecti
on
of
the
A a
nd
ph
ase
sep
ara
tio
n
lin
es
is f
rom
th
e w
ork
of
Gra
f et
al
L
13
]
For temperatures approaching OOK the 32 R term must disappear
according to the third law of therrrlodynamics Measurements l 7 8] show
that the specific heat begins to drop at about O 2 to O 5degK (depending on
concentration) and becomes proportional to T for much lower temperatures
Since the dilution refrigerator usually operates below 01 degK the ideal
gas model can not be relied upon to give a satisfactory explanation of the
behavior of a dilution refrigerator
Edwards et al [7] showed that their specific heat data were fit 3
very well at all temperatures by treating the He as a Fermi-Dirac gas 3
with an effective mass m~~ of 2 5 times the mass of a He atom
Anderson et aL [8] also found that the same model would fit their data
within experimental error but with the values 2 38 and 246 for mm3
in 1 32 percent and 5 02 percent solutions respectively The data of
Anderson et al extended well into the degenerate region of the Fermishy
Dirac gas where the specific heat is proportional to both mm and T3
Thus the Fermi-Dirac gas model shows excellent promise for predicting 3 3 4
the thermodynamic properties of He in liquid He - He solutions at all
temperatures
The variation of mm with concentration can be accounted for by3
3conSidering weak interactions between the He atoms Doing so however
does not change the specific heat from that of a noninteracting Fermishy
Dirac gas with the same mm [ 16] It will be shown that the behavior3
of the solubility curve also requires that interactions be introduced 3 4
Thus in this note the thermodynamic properties of He - He solutions
are derived from the weakly interacting Fermi-Dirac gas model
3 Computational Methods
3 43 1 Properties of He in Liquid He
The behavior of the interparticle interaction and its effects must
be evaluated before calculations of thermodynamic properties can be
5
made Bardeen Baym and Pines [17] (BBP) assumed the interaction 3
between two He atoms separated by a distance r is spin velocity and
concentration independent and weak Their interaction is written in
terms of the Fourier transform V(k) by
J V(r ) = V (i~) e i kmiddot r dk (1)
3(21T)
where k is the wave vector For an isotropic systemV(k) = V(k) The
effective mass m~ is then given as [ 17]
m = 1 +1 F S = 1 _ N(O) J2kf V(k) k (1 _ L) dk (2) m 2 23 1 2k 0 2 k o
f f
where m is the value of m at zero concentration o
2 2 (3)N(O) = m k 21T tlf
is the density of energy states at the Fermi surface for one spin orientashy
tion and k is the magnitude of the Fermi wave vector The dependencef
of k on concentration is shown by the relationf
2 2k = (31T n3)13 = (31T NAv)13 (4)f
3where n3 is the number density of He atoms in solution NA is
Avogadros number and v is the volume of solution containing one mole 3
of He The expression
233 v=V X=2758X+760+165X cm moleHe (5)
m
3where V is the molar volume of the solution and X is the He concenshy
m
tration will be used throughout these calculations Equation (5) agrees
6
with experimental data [ 9 18] to within O 3 percent for concentrations
less than X = O 3 and all temperatures less than 1 5degK The value 3 4
27 58 cm mole is the molar volume of pure He between 0 and 1 5degK
To calculate m from (2) knowledge of V(k) is necessary The
simple two-parameter form used by BBP to fit spin-diffusion results
[8] is given by
V(k) = V cos (13k) (6)o
o 2 -38 3with 13 = 316 A and V0 = -00754 m s n = -1 303 x 10 ergs cm
4 44
where m 4 is the mass of the He atom s is the velocity of first sound in 4 4
He at T = 0 and n 4 is the number density of pure He at T O Ebner
[19] recently extended these calculations for V (k) to higher concentrations
and used the form
(7)
where V is the same as that used by BBP and the other parameters are o
C = 40752 C = 00564 (8 ) 2 3
The form of V(k) given in (6) is limited to concentrations less than 5 pershy
cent whereas the form in (7) is valid for concentrations even higher than
30 percent Ebner states however that V(k) in (7) may contain some
10 --15 percent error Both forms for V(k) were used in (2) to solve for
mm assuming mom3 = 234 as suggested by BBP Figure 2 shows3
the calculated concentration dependence of mm compared with four3
experimental points from specific heat data Both curves give good agreeshy
ment with experiment but since Ebners form of V(k) is valid for higher
concentrations mm obtained by using his form of V(k) will be adopted3
here These values of mm are also listed in Table 1 along with k3 f
and the Fermi temperature T f given by
7
23~--_
____
____
____
_~__
____
____
____
__L
__
__
__
__
__
__
__
_~
__
__
__
__
__
__
__
__~
__
__
__
__
__
__
__~
o 0
05
010
0
15
02
0
025
x
3
4 3
Fig
ure
2
Eff
ecti
ve M
ass
Rati
o o
f H
e in
He
as
a F
un
cti
on
of
He
Co
ncen
trati
on
TABLE 1
SOME TEMPERATURE INDEPENDENT PROPERTIES OF HE3 IN SUPERFLUID HE4
X 10-7 kf
-1(em )
T f (OK)
11=
m 1m3
-(1l3 + L 3 deg)R
(OK)
00000 000000 0000000 234000 0258728 00001 040136 0005535 234046 0258841 0middot0002 050567 00087B4 234092 0258956 0middot0005 068628 0016171 234225 0259310 00010 086462 0025643 234442 0259920
00020 108926 0040627 234857 0261201 0middot0030 124677 0053137 235253 0262544 00040 137213 0064255 235633 0263940 0middot0050 147794 0074432 236000 0265382 00060 157041 0083910 236355 0266865
0U080 172814 0101322 237033 0269938 0middot0100 186124 0117214 237674 0273139 0middot0150 212961 0152510 239145 0281601 0middot0200 234287 0183572 240462 0290600 0middot0250 252263 0211771 241656 0300U32
00300 267947 0237848 242748 0309825 0middotU350 281946 0262265 243753 031 99 26 0middot0400 294645 0285332 244684 0330293 00450 306304 0307272 245550 0340892 00500 317109 0328251 246359 0351698
00550 327197 0348395 247117 0362685 0middot0600 336673 0367807 247830 0373837 0middot0640 343870 0382864 248371 0382864 0middot0650 345620 0386567 248502 0385135 0middot0700 354104 0404742 249138 0396565
00750 362178 0422388 249742 0408115 0U8 OO 369887 0439551 250315 041 9775 00900 384352 0472586 251381 0443382 01000 397732 0504107 252357 0467321 01100 410202 0534310 253255 0491539
0-1200 421894 0563353 254088 0515992 01300 432914 0591359 254864 0540643 01400 443344 0618430 255592 0565461 01500 453252 0644651 256278 0590420 01600 462694 0670092 256927 0615498
01800 480362 0718869 258133 066t934 02000 496644 0765151 259239 0716639 02250 515379 0819942 260512 0780246 02500 532610 0871743 261690 0843959 02750 548575 0920896 262796 0907654
03000 563456 0967674 263844 0971234 03500 590503 1054946 265810 1097725 04000 614589 1134915 267648 1222900 04500 636280 1208563 269392 1346348 05000 655978 1276633 271062 1467729
Page 9
2 2 23T h k 2 K m 54 890(v m~~m) oK
f f 3 (9)
where K is Boltzmann I s constant
Stoner [20] has evaluated the specific heat C of a Fermi-Dirac v
gas for all temperatures as a function of the ratio TITr Since he gives
only tabulated results for the intermediate temperature range a power
series expression was fit to his data to facilitate calculations of thermoshy
dynamic properties The details of this power series fit are given in 3 4
Appendix A The specific heat and entropy of dilute He - He solutions
can now be calculated as functions of temperature and concentration
However to proceed with calculations of enthalpy chemical
potential osmotic pressure and other related properties the deviation 3
of the chemical potential of He in solution from that of an ideal Fermishy
Dirac gas must be found There will be a considerable deviation because 3
of the presence of a binding energy and the interaction between He atoms 3
The chemical potential of He in solution can be written as
1 (X T) 1 (X T) + 1 1 (X T)3 f 3 (10)
where 1 is the chemical potential of the ideal Fermi-Dirac gas with effecshyf
tive mass m and is given by T
J H - TS 53 U - TS R T + 53 Jr C dTf f f f f f v
o
T - T J (CvT) dT (11 )
o
In this equation H Sf and U are the molar enthalpy entropy andf f
internal ener gy of the ideal Fermi-Dirac gas and R is the gas constant
Since C has been expressed as a power series in T the integrations v
can be easily carried out with the aid of a computer
10
3
The term 1 13 can be evaluated from the expe rimental data for the
dilute solubility curve and then compared with theoretical re sults for 1 1 bull
The experimental values of 13 are found by making use of the fact that 3
in a phase separated solution the chemical potential of He must be the
same in both the dilute and concentrated phases If at first it is conshy3
sidered that the concentrated phase is pure He then
(12 )
where Xt denotes the concentration of the dilute phase on the solubility
curve
rT T 1 deg = - L3 deg + J C deg dT - T J (C degIT) dT
3 3 3 o 0 (13 )
3is the chemical potential of pure He and L3 deg is the molar heat of vaporshy
lzahon 0 f He 3 OOKpure at T = bull The quantity 1 deg + L3 deg is calculated3
3using values for the properties of pure He given in Appendix B The
term 1X T) in (12) is evaluated using (11) at each data point [79]t
for the solubility curve By combining (12) and (13)values for 13 (X T)t
+ L3 deg can be determined The results of such calculations are shown in
figure 3 Also in figure 3 are shown curves for T f from (9) and a theoretshy
ical result for 113 + L3 deg which will be discussed shortly From (11) (12)
and (13) it is obvious that (-11 3 - L3 deg)R = T f for T = 0 0 K and the conshy3 4
centration at which this occurs is the limiting solubility of He in He at
T = OOK
The theoretical behavior of 1 using V(k) has been discussed by3
BBP and Ebner However bull their definition of 13 is slightly different than
that used here The difference is that they use the effective mass m inshyo
stead of m in evaluating I1 in (l0) The theoretical expression given byf
BBP for their 1-13 r at T = OOK is
11
08
1
06
o ~ 0
4
I-
N
02
o
TH
IS
WO
RK
0CD
l G
I
LO
o -P
3 -
3
R
0-
Ifff
e
f 01
EX
PE
RIM
EN
TA
L
a _
Ed
wa
rds
tit
01
I L
0-P
3-
3
R
005
0
10
015
0
20
0
25
x F
igu
re 3
T
he
Ferm
i T
em
pera
ture
an
d D
ev
iati
on
of
the C
hem
ical
Po
ten
tial
fro
m t
he I
deal
Ferm
i -D
irac V
alu
e
2 NA J2kf 2 k =Eo + (N Iv) V(O) - -2 k (1 - 2k ) V(k) dk (14)A 41T 0 f
where E is the binding energy and is independent of concentration The o
second and third terms on the right side of (14) are the Hartree and exshy
change corrections to ~3 To be consistent with the theory of BBP and
Ebner the ~31 defined by (10) and used here should contain an additional
term equal to the difference between ~f evaluated at mo and m However
when this additional term is neglected the theoretical ~31 from (14) fits
experimental data very well even for temperatures up to O 6degK as will be
shown very shortly Inclusion of the additional term requires ~3 to be
temperature dependent to give agreement with experimental values at
finite temperatures This temperature dependence has been worked out
by Ebner only for the high and low temperature limits Since the primary
purpose of this paper is to find a model which can be used to fit experishy
mental data over a wide range of temperature and concentration the
additional term in (14) required by rigorous theory will not be considered
in this paper Equation (14) was evaluated numerically using Ebners
form of V(k) The quantity Eo + L3 deg is found from a best fit of the
theoretical ~3 + L3 deg to the data points in figure 3 Only the data for
X lt O 075 were considered for the fit since it will be shown that the data
at higher concentrations and temperatures require some correction
From this fit it is found that
(15)
and that
X t (T = O) = O 0640 (16)
13
J
is the limiting solubility of He3
in He4
at T = 0deg K fft et al t 9] report
a slightly different value of O 0637 for X t (T = O) from a T2 extrapolation
of their data The theoretical result for J t is given in Table 1 in addition3
to being shown in figure 3 Including the additional term in (14) would
yield the result O 282 degK for (1S) which agrees with the value given by
fft et al l 9] The uncertainty in V(k) however is such that the difshy
ference in the two results for (-Eo - L3 deg )R is inconsequential [19 21]
The discrepancy between experimental and theoretical values for
1 r at higher concentrations can be completely explained by correcting 1 03 3
4used in (12) to account for the presence of a small amount of He in the
concentrated phase This correction then changes the experimental values
tor J The term 1c which must be added to tl3 deg to give the chemical poshy3
tential of the concentrated phase was actually found by forcing the experishy
mental data for tl3 + L3 deg in figure 3 to agree with the theoretical result
shown in the same figure This correction term J is shown in figure 4 as c
a function of temperature For temperatures above O 4deg K this curve was
deduced from a smoothly drawn phase separation line bridging the gap beshy
tween the low and high temperature data shown in figure 1 Figure 4 comshy
pares this calculated behavior of 1 with two other results for J One of c c
these other results is based on the experimental work of de Bruyn Ouboter
et al lll] for the thermodynamic properties of concentrated solutions
down to about 04deg K The term 1 is calculated from their data by the c
relation IOGt)
- G t + (1 - X ) oX (17)1c - u X=X
u
where X is the concentration of the concentrated phase and G t is taken u
to be
G t = G -l X 1 deg + (1 - X) 1 0]3 4
= X (13 - 1 deg) + (1 - X) (14 - J deg) (18)3 4
14
I I
I I
I
08~------~------~------~-------r------~------~~~
CD-0 E
rn CD
1 0
-gt
0 =l I
--8-- de Bruyn Ouboter et 01
---0-- This Work
--- Regulor Solution Theory
06 I I
I I
I I
I
I fI
I I04
I I
I
I I
02
o 02 04 06
Figure 4 The Difference in Chemical 130tential Between the Conshycentrated Phase and Pure He bull
15
with G as the Gibbs free energy and -1 - -1 0 the difference in chemical4 4
potential between He4
in solution and pure He 4 The term (oGt joX)X=X u
is very difficult to evaluate from the experimental data but appears to
be fairly small For a first approximation that term is chosen to be zero
which then leaves -1 = G i A better approximation can be made Since c
the terms 1J and J must be the same in both the dilute and concentrated 3 4
phases the term oGtjoX must also be the same in both phases The
theoretical behavior of -1 - -1 0 and -1 - -1 (to be calculated later) in3 3 4 4
0
the dilute phase can be used to find oGtjoX This then results in a
negative value for oGi oX and makes -1 less than Gt The difference c
though is only significant above about O4degK but is still less than the
experimental uncertainty and so it is not shown in figure 4 The other
curve shown for comparison in this figure results from assuming that
the solutions behave as a regular solution This assumption should give
reasonable results in the concentrated phase at least for the higher temshy
peratures The details of the calculation for -1 from the regular solution c
theory are given in Appendix C where the concentration X as a function of u
temperature is listed in Table 6 It is evident from the curve shown in
figure 4 that the behavior of -1 which results in an exact agreement of c
experimental and theoretical -1 + L3 0 can be considered to be consistent3
with all other estimates of its behavior although possibly too high around
O 2 OK In other words the theoretical -1 I agrees with experimental data3
along the solubility curve within experimental error and no temperature
dependence of -1 f is necessary to give this agreement even for temperashy3
tures as high as O6degK Of course a small temperature dependence is
still possible in view of the fairly large uncertainty in -1c but -1 I is3
assumed to be independent of T in all of the present calculations In any
case a small temperature-dependent term would have very little effect on
most of the thermodynamic properties at all but the lowest temperatures
since -1 I contributes significantly to these properties only at low temperashy3
tures
16
By using the theoretical behavior of JI t and ~c (11) and (12) can3
be used to derive the theoretical phase separation teInperature as a
function of concentration This calculation is just the reverse of the
case where the experiInental 1-13 I was deduced froIn the experiInental
phase separation teInperature The results for the theoretical phase
separation teInperature are shown in figure 5 along with experiInental
values l 7 9] and are listed in Table 2 To sUInInarize the behavior of
the weakly interacting FerIni-Dirac gas Inodel using Ebners expression
for V(k) which was deduced froIn spin diffusion predicts an In(X)In3
in agreeInent with experiInent These values of In(X)In are used in3
the specific heat of a FerIni-Dirac gas which then correctly predicts 3 4
specific heat of He in He at all teInperatures In addition this Inodel
gives the correct concentration dependence of the phase separation
teInperature
The present definitions (10) and (13) for 1-13 and 1-13 deg result in large
negative values for these terInS at T = OOK due to the quantity L3 o In
addition any uncertainty associated with L3 deg appears in 1-13 and 1-1 0 The3
bull
absolute value of cheInical potential in any systeIn is arbitrary and it
Inakes nUInerical cOInputations siInpler if JI and JI are changed by a3 3
0
constant valu~ The terIns JI3
and JI deg are now redefined by adding L3 deg 3
to the right sides of (10) and (13) The new definitions then becoIne
JI3 (X T) =JI (X T) + JI3
I (X) + L3 deg (10)f
and
T
1-13 deg (T) = JT
C3deg dT - T J (C degT) dT3 o o
(13 )
17
04 bull
03
f- t shy
02
01
c
o 1fft et 01
EXPERIMENTAL C pounddttords et 01
O~~---L----~----~----~----~----~----~----~----~ O~ 008 010 012 014
X 3
Figure 5 The Phase Separation Temperature as a Function of He Concentration
18
Table 2
The Phase Separation Temperature or Solubility Curve for Dilute Solutions of He3 - He 4
X T X T (OK) (OK)
006400 00 0090 o 1946
006404 000946 0095 02129
00641 001486 010 O 2301
00642 00208 O 11 02616
00643 O 0253 O 12 02902
00645 00323 013 03166
00647 00377 014 03412
0065 00445 015 03644
0066 00606 016 03863
0067 00721 017 04072
0068 00817 018 04272
0070 00970 020 04647
0072 01102 0225 O 5075
0074 01223 025 05460
0078 O 1436 0275 O 5809
0082 01618 030 06097
0086 01789
19
where 1-1 t 3 is now shown as a function of X only The term 1-13 0 now beshy3
comes zero at T = 0 oK The entropy and enthalpy of He in He40 are
taken as
T [ _ S3(X T) = Sf (X T) = J C (X T)TJ dT (19)v
o
H (X T) =1-13 (X T) + TS (X T) = 1-13 (X) + L3deg + H (X T)3 3 f
T
= 1-113 (X) + L 3 0 +RTf + (53) J C v (X T) d T (20) o
3 4The osmotic pressure n of He in liquid He can be determined
from the relation
n V = - (1-1 - 1-1 0 ) (21)4 4 4
which follows from altering an equation given by London et al [3] In
(21) the term V =V -X oV lox = 27 58 - 3 30 X3 cm3mole is the4 m m
4partial molar volume of He in solution and is only slightly different than
4V 4 0 The right side of (21) is the difference in the He chemical potentialbull
4 4between He in solution and pure He and is easily evaluated from the
Gibbs-Duhem equation for constant temperature and pressure
dl-13 dl-14 (22)X - + (1 - X) - =0
dX dX
In integral form (22) becomes
XJ X (23)1-14 - 1-14 o -- - 1 _ X dl-13 o
20
which upon substitution into (20) yields
(24)
The integral is easily evaluated numerically since J is known as a3
function of X from (lot)
3 4 32 Properties of the Total He - He Solution
Up to now consideration has been given only to the thermodynamic 3 4properties of He in liquid He and not those of the total solution Howshy
3 ever in the case of the He - He
4 dilu~ion refrigerator operating in a 3
steady state the He contribution is all that is needed Ideally in this 3 4
refrigerator He diffuses through a stationary column of He so that the 4
He contribution is not needed for thermodynamic calculations For the
transient behavior of the dilution refrigerator or any other process where
the bulk liquid is involvedthe thermodynamic properties of the total
solution are needed The total specific heat and entropy are taken as [ 14]
(25)
(26)
where C 4 0 and S 4 0 are the specific heat and entropy of pure He4 Equashy
tions (25) and (26) are good approximations only for temperatures not too
close to the A point since the A point changes with concentration (see
fig 1) Below 1 0 K however C deg is very much smaller than C so the4 v
approximation is certainly good up to X = 03 for these temperatures At
1 5 D K the results for C from (25) begin to deviate considerably from
experiment [11] for X much above O 1
21
The enthalpy H (same as the internal energy U for the low temshy
peratures and pressures of interest here) can be calculated in three
different ways Unfortunately the results are not exactly the same in
each case The first method makes use of the relation
H = G + TS = X ~3 + (1 - X) ~4 + TS
= X H + (1 - X) (~ - ~ 0) + (1 - X) H 0 bull (27)3 4 4 4
To be consistent with (lOt) and (13 1)
rT H a = leo dT
3 J 3 (28) o
T H 0 = - L + L 0 +J C 0 dT (29 )
4 4 0
3 4 o
4where L 4 a is the heat of vaporization of pure He at 0 0 K The second
method uses
T H = Ho +J C dT (30)
o
0 0where H is the value of (27) at T = K The third method which is o
somewhat of a combination of the first two replaces H in (30) for o
X gt O 064 with the value of (27) on the phase separation curve instead of
at oaK The lower limit of the integral is also replaced by the phase
separation temperature The results obtained by this third method should
be a good compromise except for the fact that curves of H versus X for
constant T will have an abrupt change in slope at X = O 064 which would
be unrealistic The second method was chosen for these calculations
and will give the same results as the third method for X S 0064 Since
the theoretical behavior of C agrees so well with experimentthe resulting
22
values of H should be quite accurate at least for X s O 064 The second
method eliminates the abrupt change in slope at X = O 064but the result
for H above this concentration may not be quite so accurate The first
method suffers from the disadvantage that it relies entirely on the theoshy
retical behavior of ~3 and ~4 both of which are more uncertain than the
calculated C The difference in H caused by using the various methods
is only a few parts per thousand This difference is greatly magnified
however when the excess enthalpy
(31 )
is considered The first method can give values for HE which are 15 to
20 percent higher than the second method for large values of X This
difference is due mainly to a temperature dependence of -1 that is not 4
quite consistent with properties such as specific heat Possibly a small
temperature dependent term in ~3 I might correct this inconsistency
From (31) and (27) it is easy to see that at T = OOK HE is just (1 - X)
3 4The vapor pres sure of He - He solutions is found from a trial
and error solution of the equation
J
(32)
3where X is the He molar concentration in the vapor P3 deg is the vapor
3 pressur of pure He and the Bs are the second virial coefficients for
3 4 He and He from the work of Kilpatrick et al [22] Equation (32)
follows from a combination of expressions given by de Bruyn Ouboter
et al [23] A very good approximation for X at least for temperaturesv
23
above about O 5degK can be found from the theory of regular solutions In
this case [ 23]
X (1 - X) p 0 v
p 3 0 exp [ (W RT)(l- 2X)] (33 )
X (1 - X ) shyv 4
where p 0 = p deg exp (B p degRT) is the fugacity of the component i and W 1 1 11 1
is a constant taken to be WR = 1 37degK [24] The results of (33) for X v
are substituted into (32) to find p
The heat of vaporization of a binary solution can be treated as
either integral or differential depending on the conditions of vaporization
[ 25] When a quantity of liquid solution is completely vaporized so the
initial liquid concentration and final gas concentration are equal the
integral heat of vaporization is absorbed in the process This integral
heat of vaporization is ApX if the process is done at constant pressureand
A if done at constant temperature For the low pressures dealt withTX
here the gas phase can be treated as ideal and thus the enthalpy in both
the liquid and gas phase are independent of pressure The integral heats
of vaporization can then be written as
ApX + R(T - TI) = A =XL deg(T) + (I-X) L deg(T) - ~(X T)TX 3 4 (34)
where T is the final temperature in the constant pressure process and 3 4
L3 deg (T) and L deg(T) are the heats of vaporization of pure He and He at4
the temperature T The term -~ gives the deviation from the ideal
heat of vaporization and is just the negative of the excess enthalpy
If a mole of gas is formed from an infinite reservoir of liquidthe
heat absorbed is Avt the differential heat of vaporization In this proshy
cess the gas and liquid phase concentrations are different From the
work of Ruhemann [25]
24
E r E ( ) (X _ X) 0 H (X T) (35)+L-H X T - v oX J
The term in brackets gives the deviation from the ideal differential heat
of vaporization and will be denoted as AE vt
3 43 3 Applications to the He - He Dilution Refrigerator
A schematic diagram of the He3
- He4
dilution refrig~rator is 3
shown in figure 6 Nearly pure He gas leaves the vacuum pump at a 4
pressure of about 30 torr and passes through a pumped He bath which 3
condenses the He bull After passing through a flow limiting capillary the 3
liquid He is cooled by passing through the still and the heat exchanger 3
The pure He liquid enters the mixing chamber or mixer where it 3 4
floats on top of and is in equilibrium with a dilute solution of He in He bull 3
For very low temperatures the dilute solution contains 64 percent He bull
This 64 percent solution communicates with the solution in the still via
the return line in the heat exchanger For the solution in this return line to
be in mechanical equilibrium the chemical potential jJ4 must be the same
throughout the tube Since the te~perature of the still is higher than the
mixing chamber the concentration of the solution decreases as it apshy
proaches the still From results to be given later the concentration in
the still is about I percent for T 5 = o 6 0 K where T 5 is the still tempershy3
ature As this liquid vaporizes in the still nearly pure He is removed
from the solution provided of course superfluid film flow is greatly 3
restricted To complete the cycle the He gas is compressed to about
30 torr at room temperature and returned to the condenser As the conshy3
centration in the still is lowered He will diffuse from the 6 4 percent
solution in the mixing chamber through the heat exchanger to the still
25
He4
~J--~~
He4 -I He3
He3 VACUUM PUMP - 300 OK
CONDENSER 08 -12 OK
CAPILLARY
STILL 06-07 oK
HEAT EXCHANGER
MIXING CHAMBER
He4 shy QOI-QsoK 64 He3
He3
3 4Figure 6 SChematic Diagram of the He - He Dilution Refrigerator
26
3To preserve equilibrium in the mixing chamber He must pass from the
upper rich phase to the lower dilute phase to maintain a 64 percent conshy3
centration in the latter In so doing the He absorbs heat if the temperashy3
ture is kept constant As the He dIffuses through the nearly stationary 4 3
column of He in the heat exchanger it cools the incoming pure He
stream in the heat exchanger A thermodynamic analysis of the dilution 3 4
refrigerator in a steady state uses only the properties of the He in He 4
since the He is stationary in the ideal case
The heat absorption rate of the dilution refrigerator is of fundashy
mental importance to those interested in the capabilities First consider 3
the case where only pure He is circulated by the pump By treating the mixer as an open thermodynamic system this heat absorption rate Q in
the steady state at a temperature T can immediately be written as an
enthalpy difference
(36)
3where n 3 is the molar circulation rate of He the first term on the right
3 4is the enthalpy of He in He along the lower or dilute solubility curve
3and H3cT ) is the enthalpy of He in the incoming concentrated stream
i at temperature T When the mixer temperature is below about O 2 0 K
1 3
the concentrated phase is nearly pure He and so the incoming stream 3 c
must also be nearly pure He bull Thus H3 becomes equal to H deg Howshy3
ever at higher temperatures the concentrated phase in the mixer will 4 4
contain a certain amount of He It is possible for this He to diffuse up 3
the incoming He stream to cause some dilution above the mixer To
calculate the heat absorption in the mixer the concentration of the stream
just as it leaves the last heat exchanger must be known If the velocity of 3 4
the incoming He stream is high enough He will be prevented from
27
diffusing up as high as the heat exchanger E~pressed analytically the 3 bull
stream leaving the heat exchanger will be pure He for n3 LVmDA raquo 1
whereas for ~ 3 LVmDA laquo 1 the stream will have the same composition
as the concentrated phase in the mixer In this expression L is the
length of tubing from the last heat exchanger to the mixer V is the m
molar volume of the incoming stream D is the diffusion coefficient of 4 3
He in He and A is the cross-sectional area of the tube In practice
something between the two extremes most likely will occur The enthalpy
3 l H 4 h d I 1o f He 1n a so utlon conta 1n1ng some e 1S rat er uncerta1n an so 1tt e 4
can be said about the heat absorption in the extreme where the He easily
diffuses up to the heat exchanger However from the work of de Bruyn 3
Ouboter et ale [11] it looks as though the enthalpy of He in the incoming
stream at about O 6degK will be on the order of 10 percent higher than H3 o
The difference between H3 c and H3 deg decreases to zero at about O 2 deg K
Equation (36) should be very accurate when H3c can be taken as
H3 deg since H3 is known very well along the solubility curve Though in
principle H3 (X T) can be found from (20)an alternative method fort
temperatures of O 1 deg K and below has been chosen If the incoming pure 3
He stream is at the same temperature as the dilute solution then the
process is reversible The heat absorption is then given as
Qr(T)~3 == T[8 (X T) -8 deg(T)] (37)3 t 3
from which it follows that
H 3 (Xt T) == Qr(T)n 3 + H3deg(T) == T[ 8 (X T) -8 deg(T)] + H deg(T)
3 t 3 3
(38)
Values of H3 and 8 along the solubility curve are obtained by second3
order interpolation in tables of H3 and 8 as functions of X and T Howshy3
ever interpolation in the 8 table is much more precise than that of the3
28
H 3 table for temperature of O 1 oK and below This is because J r + L3 deg 3
and RTf in H3 are very large numbers which cancel each other exactly
at OOK on the solubility curve Their resulting contribution to H3 slightly
above OOK on the solubility curve is subject to considerable error unless
both terms are evaluated to a great number of places Thus H3 (X-t T)
is evaluated from (38) for temperatures of O 1 OK and below Above T
O lOK (53)I C dT is the dominating term in H3 and so H3 (Xf T) is V
oaccurately obtained by interpolation in the H3 table Values for H3 deg (T )
iare taken from Appendix B
4In the case where the gas circulated contains some He the calshy
culation of heat absorption can become very complex especially at temshy
peratures above about O 2 OK Since operation of the refrigerator above
this temperature is of limited interest analysis of the heat absorption at
these temperatures will not be made Below about 02 OK the amount of 3
pure He available for refrigeration is reduced to
(39)
where X t is the concentration of the dilute phase at the temperature T i 3
n is the number of moles of gas mixture circulated and X is the He conshy
centration in the circulated gas The dilute solution already separated
out at T will contain 1
( 1 - X)n 3t =nXt 1 - X (40)t
3 4moles of He bull Neglecting the very small He contribution the heat absorpshy
tion rate in the mixer per mole of gas m~ circulated can be written as
29
middot Q(TT) 1 r X - X t ) 1 - X J
o = X H3 (XtT) -L(l _ X H3deg (Ti)+X 1 _ X )H3 (X Ti )n t tA A
(41 )
where all the X t inside the brackets must be evaluated at T i
For low flow impedences in the dilute stream between the mixer
and stillthe solution will be in mechanical equilibrium throughout its length
This equilibrium condition is expressed by ~4 = constant and from (21 )this
implies that the osmotic pressure must be constant at least for low
temperatures where d~4 deg dT is extremely small and for low concentrashygt
tions where V 4 is nearly constant At higher temperatures (T O 5degK)rJ
the change of ~ 4 deg with temperature must be taken into account When
this is done the condition ~4 = constant then is equivalent to IT + p f =
constant for small X where IT is the osmotic pressure and P is thef
4fountain pressure of pure He defined and calculated from (80) in Appenshy
dix B For high concentrations the condition IT + p f = constant does not
hold exactly since V 4 in (21) changes slightly with concentration However
the difference in V 4 between X = 0 and X = O 3 is only O 3 percent Given
a temperature and concentration in the mixer the concentration anywhere
in the heat exchanger or still may be found from curves of the osmotic plus
fountain pressure or to be exact curves of ~4 In practice a small 3
gradient in the osmotic pres sure must exist to drive the He through the
heat exchanger and may not always be negligible The calculated conshy
centration in the still then represents an upper limit and the deviation
from this value can be found if the flow impedance of the heat exchanger
is knowno Fourth order interpolations can be carried out in a table of
~4 to find the concentration as a function of temperature Once the conshy3
centration in the heat exchanger is known the entropy of He anywhere
along it is easily found from fourth order interpolation in the S 3 table 3
The specific heat of the He at constant ~ designated as C is then 4 ~4
30
given as 08
1 3 ) (42)CjJ = T ~ aT
4 1-L4= const
The differentiation of S 3 is carried out after fitting the data for S 3 at
constant 114 with a third order polynominal in T It should be obvious
that C will be a function of the mixer temperature as well as the local ~4
temperature since the former determines the osmotic pres sure in the
system
The vapor pres sure and vapor concentration in the still as a
function of both still and mixer temperature can be easily found from
interpolation in the p and X tables using values of X in the still as detershyv
mined from the condition 114 = constant in the dilute stream The heat QS
required to vaporize a mole of liquid in the still has contributions from 3 4
both the He and the He vaporized Because of the large heat of vaporishy
zation of He4 this contribution which is given by (1 - Xv) L deg(T) can4
3 not be neglected The He contribution is Xv L (T) where L (T) is just
3 33
the difference between the enthalpy of He in the saturated vapor and in 3
the dilute liquid The He vapor enthalpy can be written as H3 deg (T)
+ L deg(T) From this it immediately follows that3
(43)
where
(44)
is the deviation from the ideal heat of vaporization and n is the gas flow rate
The interface between the dilute and concentrated solutions must
remain in the mixing chamber if the refrigerator is to operate properly
Thus it is important to examine just where this interface will be for all
31
possible sets of conditions The assumption is made at this point that
the liquid volumes in the heat exchanger and condenser are negligible
compared with the volume of both the still and mixing chamber The
volume of the still containing liquid immediately after the initial filling
and before circulation begins is written as
v = r V (45)s mc
where V is the total volume of liquid in the mixing chamber If the mc
whole system is filled initially with n moles of solution at a concentration
of X then the initial volume of liquid is o
o n V = V + V = V (1 + r) (46)
m mc s mc
where V 0 is the molar volume V of the solution from (5) for a con-m m
centration of X During operation of the refrigerator phase separationo
occurs in the mixer and h is the fraction of mixer volume occupied bym
the dilute solution The total volume of solution during operation will be
different than the initial volume which then results in a change in liquid
level in the still Let the ratio of present to initial volume of liquid in
the still be h Both hand h are found from a solution of the simultashys m s
neous equations
(1 - h ) V X Iv u + h V X p Iv t + h r V X Iv s = nX m mc u m m mc V m s mc s m 0
(47)
(1 - h ) V Iv u + h V Iv t + h r V Iv s = n m mc m m mc m s mc m
(48)
where the subscripts and superscripts u t and s on X and V refer to m
the concentration and molar volume in the upper concentrated phase of
the mixer in the lower dilute phase of the mixer and in the still The
32
3first equation represents the total number of moles of He in the system
and the second gives the total moles of solution Substituting (46) into
these two equations yields
rX (1 + r) X XXt Xu s o u ( - --) h + h =----shy (49)
s s o uV t V u m V V V m m m m m
h = (1 + r) 1 (50)
s s o u V V
m m
after rearranging The values used for X are given in Appendix C u
Problems associated with the heat exchanger can be eliminated by
operating the refrigerator in a single -cycle process In this case the heat 3
exchanger is unnecessary since pure He is not returned to the mixer
Vilches and Wheatley [5] have reached O 0045deg K with this method and 3
maintained it for about an hour before depleting the He bull The proce s s is
reversible and thus for isothermal operation the heat absorption is simply
given by (37) However for T gt 0 0 1 0 K the term S3 deg should be replaced by 3
the entropy per mole of He along the solubility curve for the concentrated
phase although the difference is significant only for temperatures above lt
about 02 or 03degK For T 001 OK it is evident from (38) that (37) beshy
comes identical to H3 (Xt T) - H3 deg (T) = Q(T T)~ 3 which is the maxishy
mum value of Q(T T i)~ 3 and is a fairly good approximation for temshy
peratures up to about O 2 or O 3 deg K The greater refrigeration rate is
gained only at the expense of sacrificing the continuous nature of the 3
dilution refrigerator The amount of He remaining in the mixer after
the lowest temperature is reached is important to know thus analysis
of the transient mode is needed The natural assumption is made that
the heat capacity of the mixing chamber itself is negligible compared with
33
11
I
III
the solution Unless a large amount of cerium magnesium nitrate is used
as the thermometer the as sumption is very g~od Again by treating the
mixer as an open thermodynamic system the change in entropy of the
total system can be expressed as
oQ (51)d8t = T + on 8 J3 3
where oQ is the increment of heat absorbed for the incremental change 3
on of He in the system Equation (51) can also be put in the form3
d8
Qn3 =T-t_8) (52)dn 3
3
where Q is the heat input rate and ~ 3 the molar rate of change of He3
in 3
the mixer- and 8 is the He entropy along the dilute solubility curve3
If n is the number of moles of dilute solution and if the concentrated t 3 lt
solution is assumed to be essentially pure He (T O l5degK) then
8 t = n t 8 + n3 8 3 0
J (53)
where 8 is the molar entropy of the dilute solution from (26) The
derivative becomes
dS t OS dT dnt d8 3 deg dT 0
T dn = n t T OT)X dn + T8 dn + n3 T ciT dn3 + T833 3 3
e dT dnteo dT
= n -d + T8 -d + n3 -d + T8 0 (54)
11 n3 n3 3 n3 3
The mere process of cooling the liquid will automatically cause a small 3
transfer of He from the dilute to the concentrated phase This is evident
from application of the leverage rule to the phase diagram For tempershy
atures les s than about O 15 0 K this effect is quite small and so dnt l dn3
is
34
taken to be zero One calculation was made for a starting temperature
of O 3 oK In this case dnedn was still taken as zero but the value for C3
-1 -1 was taken as [7] C = 64T joules mole deg for a 124 percent solution
below 03 oK instead of using a 64 percent solution Combining (54) and
(52) yields the normalized equation
dT 03 + T (S3- S3deg) (55)
d(n n ) - (ntno) C + (n n ) C deg 3 o 3 o 3
3where n is the original number of moles of pure He in the mixer The
o term T(S3- S3deg) is the same as H (X T) - H deg(T) for T lt O 10K
3 t 3 Equation (55) was solved numerically for T as a function of n3no with
several different values for ntno and 6~ 3 In choosing values for
6~ 3 a value for the ultimate temperature to be reached is picked and
-6~ 3 is set equal to T(S3- S3deg) at that temperature
3When all the pure He is extracted from the mixer continued
3pumping will then begin to remove He from the remaining dilute solution
The obvious question is will this continue to produce a refrigeration effect 3
As the concentration of He in the dilute phase is reducedthe osmotic
pressure is lowered thus work is being done by the system Since the
process is reversible (52) also describes the behavior in this case
However S now becomes t
S t =n3 S 3 + n 4 S 4 deg (56)
so that
(57)
The term n3 dS dn can also be expressed as3 3
35
dS 3 i 08 3 dX oS3 dT n3 dn
3 =n3 oX JT dn
3 + n3 aT)Xdn3
08 3 C 3 dT] = X (1 - X) [ oX) + T dX
T (58)
where the relation X = n3(n + n4) has been used When (58) is entered3
into (57) (52) may be written as
oS bull bull - I 3 dT ]Qn 3 = X (1 - X) LT
oX)
T+ C 3 dX
(59)
3The term (oS3oX)T is always negative and so heat is given off when He
is added to the system (xi 3 gt0) but heat is absorbed during removal of
He3 (~3 lt 0) Since S3 approaches infinity as X decreases to zero the
limit -0 3 00 as X 0 must follow for T =constant However the 3
total isothermal heat absorption per mole of He originally in solution
when going from the concentration Xi to X f given by
l X oS i - Xi r f X (_3) dX
bQno = T x ) j X 1 - X oX T 1
1 (60)
has a finite value for X 0 This is so because S3 increases only asf
-23X for X o
Cooling may als 0 be accomplished by adding pure He4 to a dilute 4
solution through a superleak If the incoming He is at the same tempershy
ature as the dilute solution then the process also would be reversible
In the reversible cc-se the heat absorbed is also given by (52) but with S3
replaced by S 4 0 and n3 replaced by n bull From the system entropy in (56)4
the derivative becomes
36
(61)
which then leads to a heat absorption rate of
bull 2 r (deg53) dT ]Qn 4 = - X l oX + C 3 dX
T (62)
Even though (62) is always less than (59) n is not limited by a pumping
4 rate and therefore can be made much larger than rl Hence Q could be
34
made larger in this second case where He is added to the solution comshy3
pared with the case where He is removed from the solution However 4
in practice the incoming He will always be at a temperature T which is 1
higher than T This reduces the refrigeration rate to
(63)
4where the last term in brackets represents the heat load in cooling the He
3from T to T The total heat absorbed per mole of He in solution when
1
going from the concentration Xi to X at T = constant is thenf
~Qn3 = T[5 (X T) - 5 (X T)] - [(Xi - Xf)X X ] [H deg(T ) - H deg(T)] bull3 f 3 i i f 4 i 4
(64)
For Ti = T this expression approaches infinity as X goes to zero Forf
X laquoXi the last term in (64) becomes (1X )[H deg(T ) - H deg(T)]f f 4 i 4
4 Results and Discussion 3 4
4 1 Properties of He in Liquid He 3 4
The entropy of He in He calculated from (19) is shown in
figure 7 as a function of temperature for various values of X The
37
50 M gt1
40
TO Q)
0
I~ 30 0 E en Q)
J 0
J
gtshya 200 a r z w
pure He3
o 01 02 03 04 T oK
3Figure 7 The Entropy of He in Liqui~He 4
as a Function of Temperature for Various He Concentrations
38
3 entropy of pure He is also shown for comparison All the properties of
4 3He 3in He are listed as per mole of He Of special interest is the entropy
for X = O 064 in the low temperature limit which is given as 53 = 107 2 T
joules deg-1 mole -1 This expression is good to within 1 percent for temshy
peratures up to about 004degK For those interested in more precise
values 53 is listed in Table 7 of Appendix D along with values of (05 oXT3
-4for temperatures below 1 5degK and X between 10 and 03 The horizontal
line drawn in the columns for X gt O 064 indicates the location of the solushy
bility curve The only uncertainty in 53 comes from the specific heat The
weakly interacting Fermi-Dirac gas model fits the measured specific heat
to within experimental error thus the experimental uncertainty of about
1 - - 2 percent is all that carries over to the calculated specific heat and
entropy The ideal Fermi-Dirac gas chemical potential IJ is listed inf
Table 8 since it may be useful for certain calculations
The enthalpy H3 from (20) is shown in figure 8 and also compared
with H3 0 Again more precise values are listed in Table 9 of Appendix D
It is evident from figure 8 that (oH oXT changes sign at about 02degK and3
that H3 for X lt O 064 becomes less than H3 deg for temperatures below O IOK
The effect of these two occurrences on the dilution refrigerator will be disshy
cussed in section 43 The enthalpy values contain an additional uncertainty
not found in the specific heat and entropy namely the uncertainty in
1-l3 r It can be speculated that the resulting uncertainty in H3 for high
temperatures will never be larger than the order of 5 percent The
greatest uncertainty will be for lar ge concentrations For concentrations
much less than 64 percent the error in H3 should be less than about
02 joulesmole at all temperatures On and very near the solubility
curve H3 will be nearly as accurate as the specific heat and entropy
The osmotic pressure has been evaluated from (24) The results
are shown in figure 9 and listed in Table 10 of Appendix D Table 10
39
8
Hi 0 57
~~------~------~~------~------~------~------~--------~----~
6 0 E shyen CI)
J 0
-)
4 gtshya J ltt J t-Z lampJ
2
o
Figure 8
01 02 T oK
03
The Enthalpy of He3
in Liqui~ He4
as a Function of Temperature for Various He Concentrations
04
40
-2
--------------------
IOOO
r----~~--r_~~~~~~----~--_r--r_r_~~~------r_--r__r~~_
IOO
J--
A
V~~~
-~
~
IDE
AL
FE
RM
I-D
IRA
C G
AS
X
=0
64
_
---
X=
0
64
10
X
=O
shy 0 ~
X=
OI
~
01
01
laquo
I
001
1
0
Fig
ure
9
01
01
T o
K
3 4
Th
e O
smo
tic P
ressu
re o
f H
e in
Liq
uid
He
as
a F
un
cti
on
of
Tem
pera
ture
fo
r V
ari
ou
s H
e3
Co
ncen
trati
on
s
also lists values for the expression -[ IJ4(X T) -1l O(T=O)] The fountain4
pressure Pf is shown in figure 9 for comparison with the osmotic pressure
The dashed line in the figure represents the osmotic pressure of a 64 3
percent solution if the He is treated as an ideal or non-interacting Fermishy
Dirac gas In that case IT is given as ITv = 23 U where U is the internalf f
energy of the ideal Fermi-Dirac gas It is evident that even weak intershy
actions can change the osmotic pressure considerably The limiting
values of IT at low temperatures are strongly dependent on the shape of
the (-1J r - L deg)R curve below X = 0064 andconsequently contain fairly3 3
large uncertainties perhaps the order of 10 percent Measurements of
the osmotic pressure for temperatures somewhat les s than T f would then
be extremely useful in determining the exact behavior of 1l3 I and the intershy
actions The classical expression [3] for the osmotic pressure
E TI V 4 = - RT tn(l - X) - iJ 4
(65)
4where 1l E is the excess chemical potential of He in the liquid solution
4 has been used in the past [3] for high temperatures The term 1l E conshy
4 tributes only a very small part to IT at these temperatures and thus IT
is nearly proportional to T For temperatures less than the order of
T f quantum effects come into play and prevent IT from going to zero at
T = OOK It is instructive to compare the calculated values of IT with exshy
perimental results at temperatures of O 8degK and above The comparison E
is most effective if 114 is observed instead of IIbecause any differences
in IT would be greatly magnified in 1lE
bull Figure 10 shows values of 1lER
4 4 calculated by (65) from the theoretical results for II V 4 The dashed lines
give two typical experimental values [ 3 24] for a temperature of 08 degK
The lack of agreement indicates more experimental results are needed
before any conclusion can be made about the reliability of the calculated
42
005~------------~------------~-------------------------------------------------------------------~
004
003
002
001
T 0 OK
-001
10
04
Data of London et of (T 08 OK)
o -=-- - 02
01
o 001 002 003
4Figure 10 Behavior of the Excess He Chemical Potential as Deduced
from the Osmotic Pressure of He 3 in He4 bull
43
II although the uncertainty in II is approximately an order of magnitude
less than that of 1-14 E R
3 44 2 Properties of the Total He - He Solution
Tables 11 through 13 of Appendix D list the specific heat entropy 3 4
enthalpy and excess enthalpy for the total He - He solution These 3
results are listed as per mole of solution instead of per mole of He as
in the previous section Figure 11 compares the values of HE calculated
from (31) with experimental results Lll 26] In general the agreement
is very good except for high temperatures and concentrations which is
to be expected from the model used here It is interesting to note that
HE becomes negative for temperatures les s than about O 15deg K This
inversion temperature is shown as a function of X in figure 16 (p 55)
denoted as curve ll Below this temperature heating rather than coolshy3 4
ing occurs when pure He and He are mixed together to form a solution
This result of course has no bearing on the dilution refrigerator since
in that case it is not the pure components which are mixed together The
reverse process separating a mixture into its two pure components
does produce some refrigeration and will be discussed in detail in section
43
3 4The vapor pressure of the He - He solutions as derived from
(32) are shown in figure 12 and listed in Table 14 The results in
figure 12 show the ratio PP3deg so that curves for several temperatures
can be included on one graph Again there is good agreement with exshy
perimental results L27] The experimental curve shown for O 4degK was
taken as the vapor pressure of the concentrated phase given approxishy
mately by P = Xu P3deg The vapor composition used in the calculation of
P is listed in Table 15 Fortunately X is not very sensitive to WR for v
X larger than about O 5 v
44
Q)-o E
fh Q)
l o ~
--------- T =OOK
-Ol~~--~~--~~--~--~~--~~--~~--~~~~~
08
06
04
02
o
I et 0 I
--0--de Bruyn Ouboter I 115degK
rJ Sommers et 0 I T = 102deg K II
- This Work I I
I I
I I
I cent I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I l
~~~___________ a
02
o 005 010 015 x
3 4Figure 11 The Excess Enthalpy of He - He Solutions as a Function
of He 3 Concentration for Various Temperatures
45
10 r------__--------------------
08
OS
o~ a
0
OA
010
O8degK 005 02
r 0 o 001 Q02
o 01 02 03
This Work
--- Experimentol
fill 015
x 3 4
Figure 12 The Vapor Pressure of He - He Solutions Divided by the Vapor Pres sure of Pure He 3 as a Function of He 3
Concentration for Various TeITlperatures
46
The differential heat of vaporization A is derived from (35) and vt
the term A E vt which represents the deviation from the ideal differential
heat of vaporization is plotted as a function of X in figure 13 The dash-v
ed part of the curves are in the region of X gt 03 and so represent intershy
polations The as sumption was made previously that the solutions could be
treated by regular solution theory to find X from a given value of X at the v
temperature T The relationship between X and X is therefore subjectedv
to some uncertainty especially for X less than about O 5 The term E v
A II from (35) uses both X and X which would appear to cause an unshyv~ v
Ecertainty in A However the term ~ in (35) is very nearly linear in
vt E
X which results in A being practically independent of X Thus for a vt
given value of X the uncertainty-in AE is nearly removed The directII
v ~ E experimental results of Sommers [28] and results deduced from H
data [11] are also shown in figure 13 for comparison
3 44 3 Applications to the He - He Dilution Refrigerator
The enthalpy H3 (X T) and entropy S3 (X T) along the lower t t
solubility curve are listed in Table 16 The maximum heat absorption
rate Q(T T)~3 calculated from (36) is also listed and applies to the case 3
where only pure He is circulated Plots of H3 (Xt T) H3 deg (T) and
Q(T T)~3 are given in figures l4a and 14b For temperatures less
than about O 04degK the expressions
Q(T T)n3 = 82 T2 joulesmole He 3 (66) I
fit the results within 1 percent These numbers are somewhat smaller
than those given previously by this author [ 29] since the binding energy
E was changed to fit the latest results [9] on the solubility curve The o experimental behavior of Q(T T)n is (83 plusmn 4) T2 joulesmole He 3
3
47
o -I
-2
-3cu
0 E
en
-4
cu
J
0 J -5
~
-t0
0
111
gt
lt
-6
-7
-s
-9 I
I I
I I
I
I
I I
I
a 0
1 0
2 0
3 0
4 0
5 0
6 0
7 O
S 0
9 1
0
I E
xper
imen
tal
I
Xv
Fig
ure
13
T
he D
ev
iati
on
fro
m t
he I
deal
Dif
fere
nti
al
Heat
of
Vap
ori
zati
on
of
He
3 -
He
4 S
olu
tio
ns
5
Q)
o E (J) 2 Q)
J o J
1 f 1( ~
IJ I I
IV J J
j I IJ
J
IV I H3 (Xl T) 1 I
~ I OfT T) 113 V I
L1 I J
IX J H3O(T)II I
I J II IJ
1 I IJ I I I(
II I JIfj I
1 V III V
J
2
2 5 2 5
Figure 14a Plots of H (X T) H (T) and O(T T)~ 3 =H (X T3 t 3 3 t
- H3 0 (T) for Low Temperatures
49
10
5
2
~lcP o E
fI) Q) 5 J o
J
gt-~
Q 2 -J lt c t- _I 210 W
5
2
-210 10 2 5 101 2 5 10deg 2
J II-2
I III i
IJ i V
II Ifj
H3 (X T)
J
JJ
~ h
JV W
JV
II rl
J I(
V 1
J
rj
J V
L
~
V~ ~ I
J
II
~ I ih ~I
J V Ill
W II j V
J LI 1 f
IJI( Jt Q(TT) h3 j
V )
(HffTJ
I 1
I 1
I JI
1
I
I
T oK
Figure 14b Plots of H3 (Xt T) H3 (T) and a(T T)~ 3 for High
TeITIperatures
50
3Peshkov [ 10] gave the value 100 T2 joulesmole He from his calculations
using X = 005 as the limiting solubility The same result would be
reached in the present work by considering a 5 percent solution Vilches 2
and Wheatley [5] also derlved the value 82 T but 59 percent was used
as the limiting solubility The uncertainty of the present results beshy
tween O 004degK and O 2degK for H 3
(X-f T) and Q(T T)~ 3 are estimated to
be about 2 percent judging from the experimental uncertainties in C 3
C3
0 and the solubility curve Above O 2degK the accuracy may not be
quite as good
For temperatures less than about O OlooK considerable uncershy
tainty exists in C deg According to Balian and Fredkin [30] the limiting3
temperature dependence of C deg should have the form C oT = 3 3
A [-fn(BT)] 12 The experimental results [31] below O OlooK neither
confirm nor deny this temperature dependence If this form is correct
then at sufficiently low temperatures Q(T T)ri would become zero though3
-6 temperatures less than 10 oK would probably be required A more
recent theory [32] shows that C degT approaches a constant value at3
3T = OOK A transition of He to a superfluid phase in either the pure or
dilute liquid would also alter the present analysis below the transition
temperature However neither of these effects should change the presshy
ent calculations at O 004 0 K and above
It is obvious from the curves in figures l4a and 14b that the 3
incoming pure He can be at a much higher temperature than the outgoing 3
dilute He and still provide refrigeration It can be deduced from (66)
that for temperatures less than about O 04degK the refrigeration power
goes to zero when (T T) = O 36 where T is the temperature of m 1 Q=O m
the mixer More exact values of this ratio are given in Table 16 and
are slightly dependent on T bull For small residual heat leaJlts the limiting m
temperature of the mixer is thus determined solely by the inlet
51
3 temperature of the pure He For example if the residual heat leak is
5about 1 ergmin or less for a circulation rate of about 2 x 10- moles
sec then the mixer will reach O 005degK for an inlet temperature of
0014degK Unfortunately heat transfer at these low temperatures beshy
comes very poor and it looks as though considerable research on heat
exchanger properties and design are required to reduce the temperature 3
of the incoming He to this low value
4 3Any He in the incoming He stream will reduce the refrigeration
effect as given by (41) for temperatures below about 02degK For temshy4
peratures of O 040 0 K and below the influence of He is easily evaluated
since H (Xf T) and H deg(T ) can be represented as in (66) Figure 153 3 i
3shows how the concentration of He in the circulated gas stream can
affect the refrigeration capacity in the mixer The figure shows plots of 2 2
(QT m)X obtained from (41) normalized by the quantity (QT m )X= 1
for various values of the ratio T T Values of T T near 1 0 can m 1 m 1
only be achieved with nearly perfect heat exchangers something quite
difficult at very low temperatures If it is assumed that the presence 4
of He has no effect on the heat exchange properties then T and T 1 m
will remain the same for all X and the curves will then show the ratio
(Q)X(Q)X=l The dashed line in this figure represents the reduction in
refrigeration capacity which would be due only to a reduced amount of 3
He bull Obviously this curve is quite different than the more exact curves
especially for low values of T T Most of this difference is due to m 1
the fact that some dilute phase with its very high heat capacity must be 4
cooled from T to T whenever He is present in the incoming stream 1 m
From the curves shown in figure 15 it is easy to see the importance of 4
eliminating He from the gas stream particularly at low temperatures
where T T will be low and near its ultimate value The other curve m 1 3
in figure 15 shows how the ratio (T T)Q 0 varies with the He m 1 =
52
01
V
J
IDmiddot
bull
08
06
04
02 o
02
0
4 0
6 0
8 1
0 x
Fig
ure
15
Th
e R
ati
o o
f M
ixer
Tem
pera
ture
to
In
let
Tem
pera
ture
fo
r Z
ero
Po
wer
Inp
ut
an
d t
he R
ati
o Q
T2
as
a F
un
cti
on
of
He
3 C
on
cen
trati
on
in
th
e C
ircu
late
d G
as
m
4concentration in the gas stream The effect of He on this ratio is
fairly small for less than about 50 percent He4
It will now be shown that the fractional change in T itself is m
only slightly larger than the fractional change in the ratio (T IT)a-om 1 -
This fact can only be found from an analysis of the heat exchanger A
system of several individual heat exchangers of the type used by Vilches
and Wheatley L4] will be assumed but only the lowest temperature heat
exchanger will need to be analyzed In the ideal case both the dilute and
concentrated streams will leave the lower heat exchanger at the same
temperature T The dilute and concentrated streams enter the heat 1
exchanger at the temperature Tm and Tb respectively At low temperashy-1
tures the specific heat of the two streams are C = 107 T joules mole -1 -1 -1 ~4
deg and C = 25 T joules mole ieg bull A heat balance is then made3
0
on the heat exchanger which leads to the condition
2 dT T dT
1 = O 81 (~) m (67)T T T
1 1 m
For T IT = O 36 this becomes dT T = O 11 dT IT Therefore m 1 11m m
T changes very little for a change in T and the fractional change in 1 m
T will be only about 11 percent larger than the fractional change in the m
ratio (TmTi)a=Oat least for (TmTi)a=O near 036 The ratio
(T IT )a decreases by about 7 5 percent when going from X = 075 to m 1 =0
X = 1 0 so T will decrease by about 83 percent for this change in X m
In the case where the two streams do not reach the same temperature in
the heat exchanger the change in T will be slightly less than in the m
ideal case
In figure 16 is shown the locus of points where H3 = H3 0 which 3
is designated the inversion curve III Diluting the He to any point below
54
05~----~------~----------------------
004
10
05 ------------------ o
006
002
PHASE SEPARATION
REGION
008
15 r---------------
04
03
o t shy
02
01
o
3 4Figure 16 Enthalpy Inversion Curves for He - He Solutions The
inset shows the high temperature end of the curve I
55
x
this curve without doing work results in a heating effect whereas above
this curve a cooling effect takes place This inversion curve I given by
(oH oX) = 0 is also shown in the same figure Below this curve the maxishy3
3 mum cooling effect is achieved by diluting the He no farther than the s olushy
3bility curve Above it maximum cooling occurs when the He is diluted as
much as possible but still remains above the curve 1 To prevent a loss
of refrigeration at temperatures below inversion curve I requires the 3
mixer to have a very small impedance for the flow of He so that dilution
below the solubility curve can not take place The technique of bringing
about extra dilution above curve I is discussed later The curve II in
figure 16 was mentioned in section 4 2 but for completenes s is restated 3 4
here Mixing pure He and pure He such that the resultant solution is at
a point below curve II results in heating whereas cooling results for a
point above curve II
The concentration in the dilute stream between mixer and still is
shown in figure 17 for various mixer temperatures These concentrashy
tions are for constant ~4 The specific heat C~4 of th~ He3
in the dilute
stream is shown in figure 18 also given for various mixer temperatures
For a mixer temperature of OOK the specific heat becomes C~4 = 1072 T
joules mole -1 deg -1 in the low temperature limit which is the same as
C for X = O 064 The classical value of 52 R would hold at high tempershy3
atures if the process was at constant IT instead of constant ~4 Values of
C~4 are useful in the design of heat exchangers and so are listed in Table
17 along with X and 8 for constant ~4 for several mixer temperatures3
The vapor pressure of the solution in the still is plotted in figure
19 as a function of still temperature with the mixer temperature as a
parameter The heat of vaporization of the liquid in the still and the
vapor composition (neglecting film flow) are both shown in figure 20
56
08
06
~
o
tshy~
04
02
PH
AS
E S
EP
AR
AT
ION
R
EG
ION
o 0
02
0
04
0
06
0
08
0
10
012
X
F
igu
re 1
7
Co
ncen
trati
on
Pro
file
s f
or
Co
nst
an
t J
4
TABLE 9
THE ENTHALIIY OF HE3 N HE4
H3 (JMOLE)
~ 00001 00002 00005 00010 00020 00030 00040 00050 00060 00080
ClO
0000 -210606 -208000 -202153 -194785 -1083391 -174107 -166024 -15e71 -152114 -140192 0001 0002 0003
-21002 -2~865
-211696
-20719 -206591 -205173
-111943 - 01329 -200368
-94652 -19425 -19361 i
- 83307 -183056 -182640
-174043 -173850 -173531
-16f)971 -1651111 -165547
-1511716 -1511578 -1511349
-52073 -151151 -151748
-140159 -140058 -139889
001l4 -2115134 -203543 -199 146 -192742 -82066 -173087 -165178 -158030 -151464 -139654
0006 -211285 -199965 -96198 -190460 -180476 -171839 -164 135 -157124 -150658 -13e9A4 0008 0010 0012 0014
-1Q7317 -1Q3291 -1J1923j -1R515ii
-196171 -192268 -188302 -18494
-192854 -189284 -85576 -181775
-18767Q -18456 -08122 -177727
-1711385 -175903 -73125 -170120
-170151 -168084 -165706 -163074
-162706 -160928 -158844 -156500
-15876 -154308 -15449 -150333
-149543 -148134 -146451 -144521
-138053 -1middot36870 -1035445 -133793
0016 -1A1054 -1110258 -177910 -1741111 -166940 -160235 -153937 -147995 -142368 -1031931 0018 0020 0075 0030
-1769411 -172834 -11I252 -1I219i
-176202 -172130 -161905 -151636
-173997 -170048 -160065 -149977
-170425 -16666 -157065 -147267
-163624 -160200 -151286 -142023
-157229 -1540 86 -145774 -136993
-151190 -148287 -140001 -132158
-140465 - 104279 -130448 -127500
-140022 -137504 -30596 -1n009
-129877 -127650 -121438 -114483
0035 -141850 -141340 -139823 -137341 -132528 -127894 -123424 -11QI05 -114927 -106962 0040 -141497 -131025 -129623 -1273211 -122869 -1111567 -114406 -110379 -106475 -09900 0015 -11l3 -120697 -19391 -117251 -113091 -109070 -105177 -101 401 -097736 -090711 0050 -110771 -110359 -109134 -107127 -103222 -099445 -095783 -0922211 -088774 -082144 000 -090029 -089661 -~8E1568 -0877 -083287 -079910 -07633 -07~448 -070349 -064389
0070 -09278 -068944 -067953 -066329 -063168 -060108 -057138 -054251 -051440 -046030 OOAO -049520 -048214 -047305 -045817 -0middot42923 -040122 -03 7404 -034762 -032190 -027241 0090 0100 0120
-0~7757 -Oii699i 04540
-027474 -006727
034782
-026634 -005945
035470
-025259 -004666
036595
-022586 -002182
038774
-020002 000218 04n874
-017496 002543 042905
-015061 004801 044874
-012691 (11)6991 046186
-001133 011218 050452
0140 076096 076304 076921 0779lt5 079866 081731 083531 08S273 086960 0Q0186 0160 01110
11 764shy159203
117837 159376
1 8394 59884
119301 1060711
121050 162300
122725 1631117
124338 165274
12158Q4 16676
127398 16A028
130266 170595
0200 2n0761 200920 201387 02145 203599 204983 206307 207578 208800 211112 0250 314663 304795 305182 305807 306996 308117 309182 310196 11l63 312972
0300 4n8571 408684 409012 409538 410531 411459 412331 413154 413932 415367 0350 0400 0450 0500
512485 6640[170]2n 8lt4240
512582 616486 720394 824305
512864 616730 720608 824493
h13313 6171111 720944 1124786
514154 617836 721561 825317
514Q31 618491 722115 1125785
515653 61 9093 722616 82c201
51328 619647 723070 826571
516Q58 1120157 723482 826899
51100 621deg3 724191 A27441
0550 928161 928lt19 928384 Q28641 929097 929491 929834 930131 930387 930786 0600 0650 0700 0750
1O~2084 1146007 12993 1343854
1032135 1136052 1239970 1343890
1032280 1136180 12 40084 143989
103t504 1136375 1240253 1344136
1032895 1136710 1240536 1344373
1033226 1136983 1240760 1344551
1033505 1131206 1240932 1344679
O33738 1137384 1241060 1344761
1033931 1137520 12411 47 1344804
1034205 1137684 1241212 1344781
01100 1447779 1447810 1447897 144AG23 1448219 1448356 1448443 14411485 14411487 1448383 0850 151704 1551731 1551807 1551914 1552073 1552112 1552221 155226 1552192 1552015 0900 1605629 1655653 1655718 16558011 1655932 Hbullbull 55997 1656012 165119114 1655915 1655672 0950 1000
17955 18f3480
1759576 1863498
1759631 1863545
1759705 U63604
1759797 1863667
1759831 1863672
1759815 11163627
1759755 18 63538
17t0655 lR63410
1759351 11163048
11(10 2071333 2071345 2071376 2071409 2071419 2071372 2071275 2071135 2070955 2070492 1200 1300
l7918 lt4A7030
2279194 2487043
2[179211 2487048
2279220 2487037
2gt791115 24F16962
2279092 2486828
2278950 248c646
22711764 2486421
2278540 2486157
2271Q88 2485527
1400 1500
69489 29n2747
2694893 2902744
2694887 2902728
26948511 2902683
2694747 2902540
2694578 2902338
2694360 2902089
2694100 290796
2693801 2901466
2693100 2900702
Page 101
TABLE 9 laquoCONTINUED)
HJ IJMOLE)
T~X 001011 1)0150 00200 00250 00300 00350 00400 00411i0 00500 005-0
flO
0000 -19~4 -107331 -088986 -073383 -059844 -047941 -037382 -027953 -019495 -011881 0001 -19612 -101308 -n88967 -il73367 -059~30 -047928 -037370 -027942 -019484 -011871 0002 00113
-19524 -19H9
-107lt41 -10729
-n88912 -ii88~118
-07331t -073238
-059786 -059715
-047889 -047824
-037334 -037274
-027908 -027853
-laquo)19453 -1119401
-0l1i4i -011793
001)4 -1gt9175 -106972 -ii88688 -073125 -059614 -047733 -03790 -027775 -019328 -011724
0006 -118590 -06525 -088317 -072802 -059327 -047472 -036951 -027553 -019120 -0011528 0008 0010 0012
-17787 -1gt757 -1gt5516
-105902 -105103 -104133
-ii87797 -~ 8732-086321
-1172352 -071 774 -071069
-058925 -0011410 -057782
-047108 -046640 -046070
-036616 -036186 -03MI
-027241 -02842 -026354
-018828 -1118454 -017998
-Ol1254 -010901 -010470
0014 -1gt057 -102994 -ii853611 -070239 -057041 -045397 -035041 -025779 -617458 -009962
0016 -1gt2409 -11)1692 -084274 -069286 -056189 -044622 -034329 -025116 -016837 -009377 0018 0020
-1105711 -118076
-100233 -098622
-083043 ii81678
-068210 -067015
-055227 -054157
-043747 -04gt773
-033523 -03224
-024366 -02J530
-1116135 -1115351
-0oa74 -007975
0025 -1 i2920 -093983 -071710 -063522 -051018 -039910 -029982 -021069 -013042 -000796 0030 -1n650 -088571 -073012 -059300 -047248 -036458 -026788 -018089 -010242 -003150
0035 -099117(1 -1182512 -067670 -054559 -042891 -032450 -023067 -014609 -006967 -000052 00110 0045 0000 0060
-091956 -0114059 -075852 00872
-075911 -068859 -061431 -0 45675
-ij61772 -ii55396 -~48607 -034016
-1149215 -laquo)43385 -0371ZA -023534
-nn996 -0J2617 -0gt6806 -014069
-027925 -022924 -017492 -005500
-0lBe51 -014172 -009067
002274
-010654 -006252 -0oi432
009334
-11113237 ) 00926 005497 015751
003484 0middot07438 011798 02584
0070 -0088) -029007 -018365 -00877A -1)00107 007758 01 4901 021 397 027304 032674 0080 0090 0100
-02252~ -113795
0i531
-011660 0116205 024471
-iin1911 ~15164 032732
006877 023239 0 40115
014828 030538 046875
022039 037151 052942
0 28589 043150 05tl433
034543 0411596 063405
1)39956 1153538 067904
044873 0511018 071971
0120 039Z7 061A96 ii6lS982 n75317 080999 086108 0911702 094829 0911530 101h2
0140 0)3234 100181 106307 111741 116570 120867 124693 128092 131101 13-754 0160 0180
1296 172999
139068 178394
44396 183046
149071 1amp7073
103119 90563
156791 193580
159955 196178
162720 1911393
165125 gt00265
167198 201826
0200 23265 2181153 22123 225592 228543 2JI042 -33139 234875 236282 237388 0250 34630 318gt16 321128 323479 325350 J26801 327P81 328629 -29077 329253
0300 46656 419342 421383 422889 423937 424588 424888 424875 424579 424028 0300 0400 0450
59101 6183)74760
521081 623239 725697
522437 1124037 726031
523275 6211333 125873
523673 624200 125296
523689 623695 724357
523367 622864 723099
52745 62i743 721 558
521854 120361 719763
520718 618743 717740
0500 8785) 828379 1128319 A27775 1126820 820510 1123888 821988 A19841 II 17470
0500 9 on 054 931234 930834 929956 928675 927043 92105 92gt895 920442 917769 0600 104349 lO34225 lii33527 1032358 1030790 102A877 1026662 1024180 1021457 101819 0650 0700
117718 12411 49
1137325 240516
1136364 1gt39320
113493A 1237663
1133116 1gt35615
1130954 1233231
1128494 1230551
1120769 122760
1122809 1gt24436
1119636 li21052
0750 1344630 1343781 1342374 IJ4(1510 1338258 133t673 1332796 1329660 n26294 132-720
0800 1448153 1447109 1445511 1443459 1441022 14311255 1435199 14 31 887 1428346 1424599 0850 0900 0950 1000
155171- 165530 ]7lt8921 181I256
1550491 1653918 175786 IIloOIl88
1548718 151986 1755307 1858673
154495 1149606 1752782 11156015
1543890 1646847 1149881 11152982
1540957 H bullbull 43762 1741656 1849627
1537737 1640392 1743148 lIh4S992
1534264 163770 1739389 18 4Z107
1530563 1$32924 1735408 11138001
1526660 1628876 1731227 1833697
1100 20990 2()67982 21)65523 2062625 2059356 2055769 2051904 2047793 21)43463 2038937 1200 227731 2275173 2272501 2269394 Zi65919 2262129 2258063 2253754 2249229 224451)9 1300 1400 1500
4A4774 2692278 2899AIA
2482443 2689776 2897163
2479583 2686749 21193985
2476290 28329 2A90379
2472634 2679473 211S6415
2468664 267t343 2AB2141
2464421 2670942 2877598
245q937 2666302 28728 18
2455239 2661449 2867826
24511347 2656405 2862644
Page 102
TABL 9 (CONTINUEO)
H3 IJMOLE)
T~middot 006(1) 00640 00650 00700 00750 00800 00900 OOOO Oll 00 Oll00
00
0000 00t1 0(1)2 00(13 0004
-0rS013 -00004 -04971 -0(4931) -0~4116C
1)00000 000009 0(01)360)1)080 000143
001191 ~01200 iiOlntgt ii01270 iiOl3n
006799 006A07 1)068llt 00687lt 006934
011867 011875 011899 011939 011996
016443 01451 016474 016513 016567
0l42Al 024289 024 ]10 024346 024397
0305M 0lri591 0]06 11 03Q645 030693
035561 035567 1)35587 035619 1)35663
039377 039383 039402 039432 039474
001)6 oOos OOH 00tgt 0014
-01I467Q -0~4410 -O408C -03677 -0319r
000321 000571 000R92 001284 101747
1101)1509 ~01756 01)2074 00243 ii02921
1)07103 007330 0(764)oollon I)OR451
012158 o123A4 012675 013031 013451
016n3 016941 017220 017562 017965
024542 024744 025004 0l5322 025698
0308211 031018 03i262 03j560 031 9 12
035791 035970 031201 036482 036814
039596 039766 039984 040251 040566
0011 0018 0020 0025 0030
-0l264 -02012 -01311
l)ii0756 03(61
002280 002884 003558 005546 007962
003449 004047 004715 ii(l6684 009078
008951 00952F 0101Alt 0120411 (I1 433S
013934 014482 015094 016899 019096
018430 0111957 019545 0212Bl 023394
026130 026620 027168 028 784 030753
032318 03~778 0332(11 034808 036656
037197 037631 n]A1l5 0]9547 041293
040929 041341 041800 043160 044816
003S 0040 0045 00ltgt0 001l0
0116217 O~977 0i314f n17O~ 0gt6A8~
010797 014039 017675 Oc1688 030770
0118B7 nl)101 ~ ii2c68S ii31695
017027 O2010~ n23563 n273l1 036051
021677 024635 127960 031639 040003
025A79 (I2A728 031932 035481 04)563
033070 035729 0311723 0 42044 049628
038830 04i331 044148 047276 054434
0middot43349 045712 0411377 051339 058127
046769 049014 051547 054364 060829
0070 00110 0090 01(10 O po
O~7551
04933 0 2074 1)763Q 1-479
041129 052600 065036 078307 106Q20
041979 n53375 n65738 078938 l07418
045981 057026 069037 08194 109732
049606 060314 071995 iIA4531 111759
052864 063163 074636 0136867 113516
058390 068230 0711040 0010714 116286
062729 072077 0823A6 09)559 11A152
066015 0 74927 n84787 095508 1101208
068356 076882 086337 096647 119529
0140 0160 OlAO 0200 OSO
136077 IAA96~ 230911 28221 3gt9170
137717 17075 203926 238705 328956
138 097 170451 204107 38BOl )28878
191133 171671 0048601 23914Q 32113lt
141306 172649 205401 239279 327647
142532 173396 20717 2301206 3lt6748
144303 174256 205754 2311497 324447
1415247 174350 205072
~21 54 1
145449 1 73756 203744 235109 318094
144919 172539 201834 232559 314159
0300 43242 422460 422243 421046 419666 41A115 41 4547 4104 14 405781 400702 0350 0400 0450 0500
519350 fIii691ii 715508 11489
518125 615303 713585 812702
r17797 1S14882 713086 A12136
S16047 612673 710489 A)9206
014123 610297 707731 A06120
512038 607767 70_11124 A02888
507427 602286 698604 196030
5002118 596302 691899 7BA703
496684 1)139873 614767 780964
490659 583048 617251 772858
0550 0600 060 0700 0750
0Il4891 10i538f 11627 12i747A 13A951lt1
912468 1012750 1113450 1214494 1315A26
911844 1~12074 1i12728 1213731 131502
908624 1008599 1109027 1209821 110937
905251 1004974 1105177 1205775 106704
901736 100110 1101191 1201590 1300340
1194323 993305
1092849 1192857 1293251
886452 984954
1084070 1183692 1283739
R71n80 h76211
1074907 1174152 1273857
16955] 967U3
10615406 1164280 1263649
OIlOO 14gt0667 1417399 1416566 1412310 1407913 1403384 1393974 1384145 1373952 1363438 0850 Ogeo 0900 1000
)5gt2571 1624645 176864 18gt9212
1519181 1621140 1723gt55 1825506
1518317 1620248 1722337 1824564
15139)A 1~15700 1711660 11119767
1509360 1611013 1712845 1814834
1504682 1606198 1707903 lA09774
1494976 1596221 1697616 1799316
1484858 158r836 1687045 I18A457
1474]80 1575096 1676063 1777250
1463586 1564044 1664173 1765739
1100 1200 13eo 1400 1500
2034233 223911 lt445B 2C1l8A 1lr729lt
2030)54 2235582 ~441117 2646903 2852R98
21)29368 2234559 2440060 2645816 2A517e4
2024357 22293501 2434693 2 40301 2A46136
2019210 2224026 2429196 2634656 21140358
2013940 221111570 2423577 26211~91 2B34462
2003064 2201330 2412013 261 7039 21322350
199195 2195702 2400061 26048014 28Oq863
lQe0185 2183737 2187789 292250 21Cl7052
1968276 2171479 2375222 2579406 2783959
Page 103
TA~LF 9 (CONTINUED)
H3 (JMOLEI
TI 01301) 01400 01500 01600 01800 02000 02250 02500 02750 OlOOO
(KI
0000 042167 044040 045089 045391 044012 0 4 (1334 033005 023100 011009 -002960 Ooni 000 0on3 0004
042173 04219 042219 042259
0441)46 0441162 0441190 044129
1)45094 n45110 1)45137 n4S174
1)453911 n45411 045417 1)454n
044016 044031 044054 0440R8
04n]38 040352 040374 040405
0l3009 033021 033042 033071
02104 024116 024136 0211(3
1111013 (loll 024 011043 011 069
-n029i6 -00gt945 -00292A -002903
0006 0008 0010 0012 0014
042370 042537 042745 04gt999 043299
044gt39 044394 044093 044836 045123
n4)2Ao n45428 045619 0451152 046128
045575 04lt77 0459n (104(1204(391)
044183 044316 044487 044696 044943
040495 040620 ()40781 040977 04)gt09
03355 n3372 n33422 033605 0331122
02242 023351 021493 02)665 02869
1)11143 011247 01138 1 011544 011737
-nOtl32 -00gt7]3 -00~606 -002451 -00gt267
0016 043645 045454 046446 046696 045228 041477 03+072 024104 011960 -002055 0018 0440311 045829 046805 047042 045SH n41781 034355 024370 012212 -0018tl 0020 0444710 046248 n47208 n47429 045912 042120 0341011 0246611 012494 -001547 0025 0030
1)45771 n4735)
047487 048999
1148397 1)491147
0411573 1)49970
046979 048281
041122 044347
035607 036750
025549 026624
(I 13327 014346
-000753 000216
0035 049212 050780 )51558 1)51616 049A18 045791 038099 027894 015548 00360 0040 0045Ooso (IOM
051354 00371 1 00(461 010264
0521130 05gt145 057723 n63(48
0S3S26 0)5750 058226 063923
1153511 055653 0511039 063530
051586 0middot53586 055815 060950
047454 049336 0H433 056269
03653 041411 043371 047A94
029356 031011 03857 037119
016933 0111501 1120251 024290
002679 004172 005839 009687
0070 069F47 070168 1170585 069957 066968 061943 053207 04212F1 029041 0014216 0010 078026 078434 0711168 077283 073842 06A433 059291 047871 034493 019415 0090 0100
0~710(171)5gt
087192 096785
1186625 095902
0A5464 094451
081536 090009
070710 0113741
1)66125 073681
054330 06l4
040629 n47433
025272 031772
0120 11QI8) 118gt19 116693 114644 109124 101915 090838 077764 062954 046625
0140 143894 14247 140080 13743 130821 1226415 1111501 096493 oFlOMl 063805 0160 0180 0200
170754 199)Q 2-9lt011
168447 196463 225998
165659 193085 22066
16t420 189290 211741
)04740 1 11 0565 208026
145599 170482 1 Q7035
132381 156204 1081727
117422 1402H 164890
100942 122966 146715
083126 104379 127362
0250 3977Q 304994 099835 [194331 [182385 26Ql22 251626 232602 212419 191220
0300 395219 389369 383182 376684 62R43 347998 3211217 307253 285263 262316 0350 4114255 477507 470447 463100 447635 431255 409667 387007 63422 339032 0400 5751167 56F1365 060567 552497 535630 517914 494745 470595 445603 4198AO 0450 0500
6Q401 74420
661247 7551191
152RI0 746701
4411A 13746gt
6260S0 718332
61)774 911444
582615 72671
557146 646035
030901 618674
50991 590697
0550 IIl060Fl 851379 A41892 FI3171 812103 791309 764454 736789 708436 679504 0600 957726 948052 938128 9279711 907074 885473 857645 829047 799809 770025 0650 0700
1055604 1154114
1045533 1143684
1035218 1133011
10246A4 1122136
1003030 1099805
980703 107821
Q52001 1047326
92562 1017123
1192511 986337 ~ 955068
07S0 1253153 1242398 1231411 1gt20214 11Q7268 1173687 1143470 111gt571 1081113 1049194
0800 1302640 1341589 1330310 1318826 195318 1271191 1240312 12011175 1176700 1144186 0850 1402512 1441189 1429643 1417895 13Q3R71 n69242 1331755 1305630 1272987 1239923 0900 1502717 1541144 1529351 1517360 149859 1467767 1435719 1403051 13M88 1336310 0950 1000
1603211 173959
1641406 1741940
1629385 1129701
11717 17172A3
59229 1691932
1561708 1666012
153439 1632960
1500967 159939
1467310 1565207
1433265 1531)7lt2
1100 1906103 1943697 1931083 19182R lR92193 lf16i554 1831627 1197138 P62204 1726921 1200 13GO
215896 gt3 24011
2146211 2349353
2133268 2336107
2120136 2226A2
2093398 2295368
2066126 2267533
2031428 2232151
1996192 219250
1960534 2159946
1924547 2123331
1400 1500
25 6312 2770619
2552996 2157061
2539484 2143309
2525796 2729384
2497966 2701088
4(9627 2672295
2433632 2(35746
2397135 259R711
gth60251 2061303
2323074 2523616
Page 104
TABLE 10
THE OSMOTIC PRESSURE OF HE3 IN HE AND THE EXPRESSION -[ ~4(X T) -~4 (TwO)]
OSMOTIC PRESSURE bull P OSM -[ ~4(X T) -~4O(T=O)] bull U
)( 00001 X bull 00002 X bull OOOO X bull 00010 X bull 00020
P OS U P 0514 U P OS U P OSM U P OSM U (Kl TORR) IJMOLEI CTORRI CJMOLEI (TORRI CJMOLEI nORRI CJMOLEI CTORRI IJMOL[I
0000 bullbull 810middot00 1783-006 15lmiddotmiddot00l 56middot2middot006 6978-003 2566-00 2181-002 8020-005 6769-002 2bullbullbull9-00 0001 0002
5509-00 7002-00
2026006 2575-006
1620-003 18l-00l
5956-006 6778-006
709l-00l 7 bullbull26-00l
2608-005 2731-00
2196_002 2238002
8073-00 82l1-005
6787-002 681-002
2 bullbull96-00 2516-00
0003 000
880-00 1OA3-003
3250-006 398Z-006
21511-003 2506-003
791l-006 9216-006
79-003 8612-003
2923-005 3167-005
2308_002 2 bullbull0l-002
8bullbull88-005 8836005
6931-002 7056-002
2Imiddot9-00 2 595-00
0006 151)2-003 5SiH-006 3281-003 1208-005 1021-002 l756-005 2650-002 975-005 7bullbull01-002 221-00 0008 0middot0100012
1 93l-003 2371-00l 28lmiddot003
7108-006 8719-006 103-005
middot1l0-003 4959-003 5822-003
1511-005 1823-005 21middot1-005
120l-002 1397-002 1599-002
bullbullbull25-005 5138-005 5879-005
295l-00Z 3292-002 365middot-002
1086-00 10210-004 1middotmiddot00middot
7855-002 8393-002 8996 002
2 888-004 3 086004 3 308-004
001middot 3257middot00l 11 98-00ll 6693-00l 2bullbull61-005 1806-002 6639-005 4034-002 1483-00 9648-002 3548-004
0016 37112-003 1361-005 7571-00l 2784-005 201 6-002 7bullbull12-00 4426_002 1628-00 103-001 3801-004 0018 0020
bullbull 149_00l bullbull596-003
1526_005 1690-005
8 bullbull54_003 9339-00l
3109-005 3434-005
2228-002 2443-002
819-005 8983-005
4828_002 5236_002
1775-00 1925-004
1106-001 1180-001
4066-00 bullbull 3l9-004
0075 0030
5 718_003 681-003
2103_005 2516-005
1156-00Z 1380-002
4252-005 507-005
2986_00Z l534-002 1~g8 6279002
7344_002 2l09-004 2701-004
137-001 1575-001
s051-004 5 191-00
0035 7966-003 2930-005 160-002 5898-005 bullbull 086-002 1503-00 8 bullbull23-002 3097-00 1781-001 65bull 9- 004 000 9093-003 3345-00 1828-002 672-005 bullbull641-002 170700 9511-002 3bullbull97-00 1991-001 320-00 0045 0050
1022-002 1135-00Z
3761-00i 4177-00r
2053-00Z 2278-002
7551-005 8379-005
5197-00Z 575-002
1911-00 2116-00
1061-001 1171-001
3900-00 bullbull305-004
2203-001 2 bullbull17-001
8101-004 8 889-004
0060 13M-002 5011-00- 2728-002 100middot-00middot 6872-002 2528-00 139pound-001 5middot118-00 2850-001 1 048-003
0070 OORO 0090
1586-002 1h2-002 20l8-002
5848-005 6690-005 7537-005
3178-002 3629-002 bullbull 080-002
11 70-004 1l37-00middot 1505-004
799l-002 9116-002 10Z-001
2941-00 3l55-00 3770-00
161 4-001 1837-001 2060-001
59l6-00 657-004 7580-00bull
3287-001 3727-001 168-001
1209-00] 1037 1-003 1533-003
0100 0120
224_fl022715-002
8391-005 1013-00
bullbull5n-002 5435-002
1673-00 2012-00middot
1136-001 1362-001
bullbull 185-004 5021-00
2284_001 2732-001
840500bull 1006-003
4611-001 5500-001
1 696-003 2 02-003
0140 l17-002 119 1-004 6338-002 2357-004 1587-001 5861-004 l18Z-001 10172003 6393-001 2 353- 003 011i1) OlFJO o 00
l619-002
g~~gg~ 1l75-004 1568-004 1712-00
7241-002 815-00~9048-00
2707-004
~2~~8g 1812-001
~~~2ggl 6709-004 756-Og48432-0 4
36l1-001 4g81-oo 1bullbull 1 -001
103middot0-003 lII98-g03 16 7- Ol
7287-001 R18~-gol907 - 0
2 684-003
Ju~gn 0250 5603-002 2345-00 11l1-001 bull bullbullcmiddot-OOmiddot 2 828-001 1066-00l 5658-001 2107-003 1132middot000 41 91-003
Oloo 67~002 3046-00 1357-001 5540-on4 3392-001 1302-003 6785-001 250-003 1357middot000 506-003 0350 0middot00
7914_002 904_002
3932_004 5068_004
1583-001 1809-001
6842-004 8394-004
3957_001 bullbull 521-001
1557_00 1837-003
7913_001 901-001
3012-003 3bullbull99-003
1582000 1807middot000
5 920-003 6820-003
0450 0501)
1017-001 1110-001
653l_004 8412-00
20l5-001 2Z61-001
1027-003 12gt7-003
5g86-001 5 51-001
219-003 2503-00l
10P00O 1130000
4018-003 middot580003
2033000 Z258middot000
7 753-003 828-003
0550 1244-001 101f 0-003 2487-001 1537-003 6Z16-00l 2908-003 1243middot000 5192-003 2bullbull83middot000 9 15-003 0600 0650 0700
13r7-001 1bullbull70-001 15I1l-001
131S1-003 1757-003 2227-003
2713-001 2939-001 3165-001
1880-003 2Z97-003 2809-003
6780-001 7345-001 7910-001
3l76-00l l917-00l bullbull 554-00l
1356middot000 1bullbull68middot000 1581middot0011
5(167-003 66~60037bullbull 9-003
2709middot000 293bullbull000 3160-000
1middot08-002 1middot20n-002 l l 26-002
075n 1696-001 28e7-003 3391-001 3bullbull50-003 e475-001 5320-003 1694+000 8bullbull33-00l 3385middot000 1 465-002
0800 0850 0900
181)9-001 1922-001 2035-001
361Z-003 bullbull 669-00l 6122-003
3617-001 3843-001 4069-001
bullbull 217-003 5375-003 6870-003
900-001 9605-001 1017+000
6271-003 7bullbull94-003 9113-003
1807000 19200011 2033 +000
9r91-003 10102-002 1785002
3611middot000 3836+000 4062000
1622-002 1807-002 2 031-002
0950 1000
2148-001 2261-001
81 4O-OOl 1094-002
4295-001 4521-001
8929-003 11 77-002
1073000 1130000
1130-002 1426-00Z
2160011 225900011
152middot-002 1R41-002
4287+000 bullbull5130000
2 311-002 2 67 0-002
1100 74117-001 2002-002 4973-001 209-002 1243+000 2l68-002 248000 224-002 4964+000 3 136-002 1200 1300 14110
27)3-001 29~9_00l 315-001
l618-002 6319-002 1061-001
5 bullbull25-001 5878_001 6l311-001
3717-002 64i7-002 1072-001
1 356000 1469+000 1582+000
bullbull 017-000 6751-002 1107-001
Z710000 2936+000 316Z+000
bullbull 515-002 7290-002 1165-001
5415000 5866+000 6317+000
5509-002 e l68-OO2 1 281-001
1500 ll91-001 1713-001 6782-001 17C6-001 1 695+000 1763-001 3388+00U 1825-001 6768+000 i950-00l
Page 105
TABLE 10 ICO~TINUEO)
X 00030 X 0000 X 00050 )( 00060 )( bull 0middot0080 T P OSM u P OS U4 P OS U P OSM U P OSM u
11lt1 (TORR) (JOLE) (TORR) (JMOLEI (TORR) (JMOLE) ITORR) (JMOLEI (TORR) tJMOLE)
0000 t3116-001 803-00 2076-001 763middot-004 2967-001 1091-003 3966-001 1bullbull58-003 62bullbull-001 2 296-003 0001 0002 0003 000
1308-001 1315-001 1325-001 1339_001
bullbull811-00 bullbull83_00 bullbull872-004 bullbull925-00
2079-001 2085-001 2097-001 2113-001
76middot3-00middot 7668-00middot 7710-00middot 7769-00 4
2970-001 2 977-001 2990-001 3007-001
1092-003 109S-003 1099-003 1106-003
3969_001 3977_001 3990_001 bullbull 008_001
1bullbull59-003 1462-003 1bullbull67-003 1474-003
6247-001 6256-001 6270-001 6291-001
2 297-003 2 30 0-003 2 306-003 2 313-003
0006 1380-001 5074-00 2158-001 7935-1)0 4 3056-001 112-003 4060-001 1493-003 6348-001 20 33-003 0008 0middot010 0012 001middot
1middot5-00115112-001 1579_001 1665-001
5276-00 5523-004 5807-004 6122-00
222rOOl 229 -001 2387-001 2488-001
81 62-004 8445-004 8776-004 91 49-00
3123-001 3208-001 3308-001 3423-001
11middot8-003 11 80-003 121fo-003 12511-003
middot132-001 4223-001 middot332-001 bullbull 457_001
1519-003 1553-003 1593-003 1639-003
6 428-001 6 530-001 6652-001 fo795-001
2 36-003 2 401-003 2 4bull 6-003 2 498-003
0016 0018 0020 0025 0030
1707-001 1855-001 1957-001 2228-001 2513-001
6461-004 6821-004 71 96-00 8191-00 92middot1-00
2599-001 2718-001 28bullbull-001 3181-001 353-001
9557-004 99115-004 1046-003 1170-003 1303-003
3549-001 3686-001 3832-001 bullbull 228-001 658-001
1305-003 1355-003 1middot09-003 1555-003 1713-003
bullbull 597_001 bullbull 749_001 bullbull912-001 5360-001 5852_001
1690-003 176-003 1806-003 1971-003 21 52-003
6955-001 7132-001 732-001 78amp0-001 860-001
2551-003 2 623-003 2 693-003 2 890-003 3111-003
0035 000 005 0050 0060
2809-001 311 3-001 3middot22-001 3735-001 bullbull 371-001
1033-003 11 45-003 1258-003 1373-003 1607-003
3921-001 bullbull 3U-001 bullbull 712-001 5119-001 599-001
1bullbullmiddot2-003 1586-003 1733-003 1882-003 21 88-003
5112-001 558-001 6070-001 6567-001 758-001
1880-003 2053-003 2232-003 2415-003 2789-003
6376-001 6925_001 7bullbull92-001 8074-00l 9270-001
2345-003 2546-003 2755-003 2969-003 3bullbull 09-003
9110-001 9797-001 1051middot000 1125middot000 1279middot000
3350-003 3 602-003 3866-003 4138-003 bullbull r02-003
0070 0080 0090 0100 0120
50t5-001 565-001 6320-001 6 978-001 8301 001
18middot-003 2083-003 232-003 2567-003 305-003
6795-001 7650-001 8513-001 938ii-001 1113-000
2bullbull99-003 2813-003 31 31-003 3bullbullSo-n03 bullbull 095-003
8623 001 9678-001 107middotmiddot000 1182000 1399000
3171-003 3559_003 3951-003 437-003 5146-003
1050000 1175000 1301+000 14ii9000 1688000
3860-003 middot320-003 bullbull 785-003 5256-003 ~206-003
1 437000 1600middot000 1765000 1932+000 2272000
5286-003 SA83-003 6 49 1-003 7106-003 8 35-003
0140 9631-001 35bullbull-003 1289middot000 bullbull 73-003 1618000 5951-003 l9middot1J+000 71 67-003 2615middot000 9middotamp18-003 OlfoO 0180 0200 0250
IOCJ6middot000 1230middot000 136-000 1700middot000
bullbull 036-003 4531-003 5027-003 6277-003
1bullbull6~middot000 16bullbullmiddot000 1822+000 2268middot000
5396-003 6051-003 6709-003 8365-0(13
1838middot000 2059+000 2280middot000 2836middot000
6762-003 7577-003 8395-003 1045-002
2211middot000 2 bullbull75-000 274110011 3 bullbull0middot-000
81 34-003 9107-003 1middot008-002 125middot-002
2962middot000 3310middot000 3661middot000 452+000
)089-0021218-002 347-002 1673-002
0300 0350 0400 0bullbull50 0500
2036000 2373000 270000 3047000 33e-000
7542-003 8827-003 1014-002 1148-002 1287-002
2715+000 3163000 3611middot000 bullbull 060000 bullbull509000
100-002 1113-002 1345-002 1521-002 1701-002
3393000 3952000 bullbull512000 5072000 5632000
1253-002 1bullbull63-002 1676-002 1893-002 2114-002
middot072000 bullbull7410011 5411+000 608ii+000 6754000
1503-002 1753-002 2007-002 2264-002 2526-002
5421middot000 6315+000 7206middot000 8098000 8991middot000
2001-002 2 332-002 2667-002 3005-002 3 348-002
0550 3722middot000 1431-002 959-000 18116-002 6193000 2340-002 7426000 ~793-002 988000 3697-002 0600 0650 0700 0750
bullbull 060-000 4397middot000 4735-000 0073middot000
151lt002 1738-002 1906-002 20116-002
5bullbull08+000 5858middot000 6307middot000 6757middot000
2077-002 2275-002 2bullbull84-002 2705-002
675middot000 7315middot000 7877000 8bullbull39middot000
2512-002 2812-002 3061-002 3323-002
809111000 8771+000 9bullbull4middot000 1012middot001
3066-002 33middot7002 3637002 3940-002
1078-001 1167middot001 1257middot001 136middot001
bullbull 052-002 414-002 bullbull 186-002 IIln-002
0800 0850
5bullbull0000 5748000
2284-002 2510-002
7207middot000 7657000
295-(102 3212-002
9000+000 9562000
360-002 3912-002
1079001 11middot6001
4262002 4611-002
1middot36middot001 1526001
5575 002 6006-002
0900 0900 1000
6086middot000 6424+000 6762000
2775-002 3097_002 3bullbull97-002
8107000 8557000 9007000
3518-002 3881-002 323-002
1012001 1069+001 1125001
4260-002 466-002 517-002
1214001 1281001 138+001
5000-002 546002 5969-002
1615middot001 1705-001 1795+001
6middot77-002 7004-0027 610-002
1100 7bullbull38middot000 66-002 9907000 5554-002 1237001 6460-002 1bullbull83001 7365-002 197-001 9169-002 1200 1300
811middotmiddot0008790000
6501-002 9 bullbull3-002
1081001 117hOOI
7bullbull92-002 1052-001
1350001 1 462001
881-002 1159 001
1618001 1753001
9468-002 1266-001
2153+001 2333001
1144-001 1479-001
1middot00 1500
9466middot000 101middot001
1397-001 207-001
126hOOl 1351+001
1513-001 21 97-001
1575001 1687001
1628-001 2321-001
18811001 2023001
113-001 2bullbullmiddotmiddot-00
2512middot001 2692+001
1 973- 00 2 691-001
Page 106
TABLE 10 (CONTINUED)
It bull 00100 X bull 00150 X bull 00200 X bull O O4ljO X bull Ch0300
p 0514 U4 P OSM U4 POSH U4 POSH U4 P OSM U4 (I() ITORR) IJMOLE) (TORR) (JMOLEI nORR) IJMOLEI (TORR) (JMOLEI (TORR) IJMOLpound)
0000 8845-001 3252-003 1647+000 6056-003 2532+000 Q310-00J 3506+000 1289-002 4545+000 1671-002 0001 8848_001 3254-003 1647+000 1gt057-003 2532+000 9312 003 35060000 189-002 4546 0000 1 67 1-0020002 8811i8-001 3257-003 16480000 1gt061-003 2534+000 9316-003 35080000 1 bull 90-002 4547+000 1672-002 0003 8873-001 3263-003 1650+000 1gt068-003 2535+000 93gt3-003 3510+000 129 1-002 4549000 1 6n-002 00114 A8Q5-001 3271-003 165J+000 6077-003 2531hOOO 9333-003 3513+00u 1292-002 4552000 1674-002
0006 8957-001 3294-003 166U-000 6103-003 2546+000 9362-003 3521-000 1295-002 4561+000 1677-002 0008 q044-001 3325-003 1670+000 61 40-003 2557+000 Q403-003 3533-00U 1 bull 99-002 4574-000 1 682-002 0010 9154-001 3366-003 1683+000 61 87-003 2571-000 9454-003 35480 0011 1305-002 4590-000 1688-002 0012 92A8-001 3lt15-003 1698_000 6244-003 2588+000 9518-003 3567+000 1312-002 4610-000 1 695-002 001 4 Q1I44-001 31172-003 1716+000 6311-003 2 609-000 9592-003 3589_000 l3l0-002 4633+000 1104-002
0016 9621-001 3538-003 1737+000 6387-003 2632-000 9677-003 361 4-000 1329-002 4660-000 1 714-002 00)8 98]8-001 3610-003 1761000 6473-003 2658000 9774-003 364 ii000 1339-002 4691000 1 725-002 0010 1003-000 3689_003 1786+000 6568-003 2687+000 9880-003 3674000 1351-002 4725000 1 737-002 0025 104_000 3913_003 1861+000 6842-003 2772000 1019-002 3767000 1385-002 4824+000 1 77002 0030 11]3000 It167_003 1948+000 71 62-003 2872000 1056-002 3977000 1426-002 4943+000 19 19-002
0035 1209-000 11445-003 204imiddot000 7520-003 2 986+000 1098-001 4005+000 1473-002 508+000 1 869-002 0040 1iiQO+000 4743-003 2151-000 7911-003 3112000 1144-00 4147middot00U 1525-002 5238+000 1926 -0020045 1375000 5056-003 226i+000 8329-003 3248-000 1194-002 4302+000 1582-002 5409-000 1 989-002 0050 1464000 5382-003 238HOOO 8769-003 33911-000 12118-002 4469+000 1643-002 5594-000 2057-0020060 1648+000 6061-003 2639000 9703-003 3706+000 1363-002 483ii+000 1777-002 6001+000 2 207-002
0070 1841+000 6769-003 2908+000 10laquogt9-002 4042+000 1486-002 5227000 1922-002 6 448-000 2 37 1-002 OOM 2039000 7497-003 3187-000 1172-002 4395+000 1616-002 5645000 2076-002 6 927+000 2 547-002 0090 2241+000 8241-003 3476-000 1278-002 4761+000 1751-002 6083000 2237-002 7430-000 2732-002 0100 2446+000 8996-003 3771000 1387-002 5139+000 1890-002 653700U 2404-002 7954+000 2 925-002 0120 2864000 1053-002 4 37i+000 1609-002 5917000 2176-002 7479+000 2750-002 9050+000 3 328-002
0140 32A8~000 ]209-002 4993-000 1836-002 6719+000 2471-002 8455-000 3109-002 10 0 19+00 1 3 148-002 0160 371 7000 1367-002 5621-000 2067-002 7538-000 2772-002 945700U 3478-002 1152+001 4 235-002 Oleo 4149+000 1526_002 6257000 2301-002 8 4 011 +000 3091-002 1050001 3963-002 1260001 4634-002 0200 4584 000 1687-002 6897000 2537-002 9208+000 3387-002 1151001 4233-002 1379+001 5072-002 0250 5679000 2091-002 8516000 31 34-n02 1134_001 4172-002 1414 +001 5 bull 01-002 1amp91001 6219-002
0300 6780000 2499-002 1015001 3737-002 1349-001 4967-002 1680+001 1gt184-002 2008middot001 7 388-002 0350 7886000 2910-002 1179+001 4347-002 1567+001 5770-002 19iO-001 7]80-002 2329001 8 573-002 0 400 8995+000 33l5-002 134-001 496 1-002 1785+001 6581-002 2221-001 81 84-002 2652-001 9 769-0020 450 1011-001 374-002 1510-001 558 0-002 200lt-001 7398-00lt 249+001 91 97-002 2977001 1)98-001 0 500 1122001 41 68-002 1676-001 6205-002 2224+001 8222-002 2767001 1022-001 330001 1 219-001
0550 1233-001 4598-002 1842-001 6836-002 2 445-001 9052-002 304Z+001 1125-001 3632001 1 342-001 0600 1345001 5034_00i 2008 001 7473-002 2 666+001 9 890_002 331 7+001 1228_001 3961_001 1465-0010600 147001 5478-002 2175+001 81 19-002 2887001 1074-001 359Z_001 1333-001 4290-001 1590-001 0700 1568_001 5931-002 2342+001 8775-002 3108001 1159-001 3868_001 1439-001 4620+001 1r15-0010750 1 680+001 6398002 2509 +001 94middot5-002 3330001 1246_001 4144+001 15116-001 4951+001 1 1142-001 0800 1792001 6883-002 267amp-001 1013-001 3552-001 1335-001 4420+001 1(55-001 52111 +001 1 971 -001 0850 1914+001 7396-002 2843001 1085-001 3774+001 14n-001 4697+001 1767middot001 5613+001 2middot103-0010900 2015+001 7948-002 3010+001 1160-001 3996+001 1523-001 4974-001 1883-001 5944+001 ZZ39-001 0950 2127001 8557-002 3177+001 12112-001 4218001 1625-00] 5251+001 Cl004-001 6276-001 2 38 1-001 1000 2239 -001 92115-002 3344-001 1331-001 41141001 1734-001 5528-001 21 34-001 6608+001 2 531-001
1100 2463+001 1097-001 3679+001 1511 11-1101 4885+001 1987-001 6083001 2428-001 7272001 2 865-001 1200 26A7+001 1340001 401 4 001 1828-001 5331+001 2312-001 6638_001 2793-001 7937-001 3 27 0-001 1300 2911_001 1692_001 4349+001 2220-001 5776+001 2745-001 7194+001 3266-001 8603001 3 r84-0011400 3135001 2202-001 4684+001 2771-001 6222001 3337-001 7750+001 3899-001 9269001 4 1157-001 1500 339+001 2936001 501 9 001 3546-001 6667_001 4152-001 8306+001 11755-001 9935-001 5 354-001
Page 107
TABLf 10 (CONTINUED)
)I bull 00350 X bull 00400 X bull 00450 ~ bull 00500 X 0O5gt0
T P OM U4 POSH U4 P OSM U4 P OS U4 P OSM U4 (K) (TORRI CJMOLE) CTORRl IJMOLE) nOAA) (JMOLE) (TOAA) (JMOLEI (TORA) IJMOLEI
0000 0001
1]631+000 5631+000
2070 002 2071-002
6748+000 6749+000
2481-002 2482-002
7885+000 78116+000
2899-002 2900-002
9031+000 9034000
3321-002 3321-002
101 1hOOl 101A001
3 742- OO 3 73-002
0002 0On3 0004
5633000 563150000 5 618000
2071-002 2072_002 2073-002
6750000 6753+000 6756000
2482-002 2483-002 2484-002
7887000 7890+000 7894000
2900-002 2901-002 2902-002
90340011 90360011 9040+000
3322-002 3323002 3324-002
101Smiddot001 1018+001 1019001
3 743-002 3744- 002 3146-002
0006 5648000 2077-002 6766+000 2488-002 7904+000 2906-002 9051000 3328-002 1020+001 3 750-002 0008 0middot010 0012
56amp1+000 678+000 5699+000
2082-002 2088-002 2096-002
6780+000 6798+000 6820+000
2493-002 2500-002 2508-002
7918000 7937+000 7960+000
2912-002 2 9111-002 2927-002
9066 +000 9085 +000 9109+000
3333-002 3341-002 3349-002
1021+001 1middot023001 1026+001
3155-002 3763-002 3 772- 002
0014 7 4+000 2105-002 6846+000 2517-002 7987+000 2937-002 9137+000 3360-002 10029+001 3 782-002
0016 Oots 0020 0025 0030
5752000 5784+000 5 820+000 5 926000 6003+000
2115-002 2127-002 2140-002 2179-002 2226-002
6876+000 6909+000 6947+000 7058+000 7192+000
252R-002 2541-002 c554-002 2595-002 264-002
8018+000 8053000 8092+000 8Z08+000 8348000
29411-002 291-002 2976-002 30111-002 3070-002
9169000 9206000 924600U 9366000 951200U
3HI-002 3385-002 3400-002 3444-002 3498-002
1032+001 1036001 1040001 1052middot001 1068+001
3795-002 3809-002 10 11 24-002 3870-00~ 31i25-002
0035 6201000 2280-002 7348000 2702-002 8512+000 3130-002 9684+000 3061-002 1085001 399 1-002 0040 0045 0050
6368000 504+000 6755+000
2342-002 2410-002 2484-002
7526+000 772000 7940000
2767-002 2840-002 2919-002
8699+000 8908000 9137000
3199-002 327S-002 3360-002
98711+0011 1010001 1034+001
3633-002 3713-002 31101-002
1106001 11211+001 1154+001
4066-002 4149-002 4442-002
0060 7201+000 2648-002 8420000 3096-002 9649+000 354111-002 1088+001 4000-002 1210001 4450-002
0070 0090 0090 0100 0120
7695+000 9227+000 A792middot000 93R2+000 1062+001
2829-002 3025_002 3233-002 3450-002 3906-002
8956+000 9539000 1016+001 1081+001 121 9+001
3293-002 3507-002 3736-002 3975-002 4482-002
1022+001 1085001 1152001 1223001 1374001
3759-002 3990-002 4~3~-002 4498-002 5053-002
1149+001 1216+01)1 1288001 1365001 152t1+001
4225-002 4411-002 4731-002 5017-002 5~17-002
1275001 1346001 122middot001 1504001 1679+001
4 687-002 4 948-002 5 230-002 5530-002 6174-002
0140 11112+001 4385-002 1365001 5018-002 1534+001 5642-002 1702001 6257-002 1866001 61162-002 0160 0180
1339+001 1468 +001
4923-002 5397-002
1527001 1673+001
5615-002 6151-002
1112001 1875+001
6297-002 6894-002
1895001 2073001
61168-002 7625-002
2074001 2268+001
7626-002 amp341-002
0200 1605+001 5903-002 1828001 6723-002 2048+001 7530-002 2263+001 8322-002 2474001 9099-002 0250 1964001 7225-002 2234+001 8216-002 2499+001 9191-00lt 2759001 1015-001 3015001 1109-001
0300 0350
2331+001 2702001
8576-002 9947-002
2649001 3071+001
9746-002 11 30-001
2962001 3 434+001
1090-001 1264-001
3270001 3791+001
1203-001 1395-001
3573001 4142001
1 314-001 1l24-001
0400 0450
3078+001 3455001
133-0011273-001
3498+001 3927+001
1289-001 1447-001
3911+001 4393001
1441)-0011618-001
4319+001 4851+001
1590-001 1787-001
4720001 5303+001
1131-001 1 953-001
0500 3835001 1414-001 4359001 1607-001 4877+001 1797-001 53870001 1985-001 5891001 2 17 0-001
0550 4216+001 1556-001 4793+001 1769-001 5363+001 1979-001 5926001 2185-001 6482+001 2390-001 0600 4598+001 1700-001 5229+001 1931-001 5852+001 2161-001 64611+001 2387-001 7076+001 2 611-001 0650 0700
4991+001 5365001
1844-001 1989-001
5665001 6103+001
2095-001 2260-001
6342+001 6833+001
2344-001 2529-001
7011+001 7556001
2590-001 2795-001
7672001 A270middot001
2 833-001 3 057- 001
0750 5750001 2136-001 6541+001 2427-001 7325+001 2716-001 8102001 3001-001 9870001 hil93-001
0800 6135001 2285-001 6980+001 2596-001 7818+001 2904-001 8649001 3210-001 9471001 3512-001 0850 6520+001 2437-001 7420+001 2768-001 8312+001 3096-001 9196+001 3421-001 1007+002 343-001 0900 0950
6906+001 7292001
2593-001 2755_001
7860+001 8301+001
2944-001 31 26-001
8807+001 9302+001
3292-001 3494-001
9745+001 1029+002
337-001 3859-001
1068+002 1128002
3 979-001 4 22 1-001
1000 7679001 2925-001 8742+001 3316-001 9797+001 3704-001 1084002 4089-001 119900C 4471-001
1100 8453+001 3299-001 9625001 3730-001 1079+002 4158-001 1195002 4584-001 1309+002 5 006-00 1200 92t7+OOl 3745-001 1051+002 4216-001 1178+002 4685-001 1305002 5150001 1431002 5612-001 1300 1000+002 4299-001 1139+002 4811-001 1278+002 5320 001 1415002 5A25-001 1552002 63211-001 1400 1500
1078+002 1155002
5012-001 5949-001
1228+002 1317002
5564-001 6542-001
1377+002 1477+002
6114-001 732-001
1526+002 1637+002
6660-00 7718-001
1674+002 1795002
7 Z03-00 8 302-001
Page 108
TlBLE 10 (CONTINUED)
)( 00600 )( 00640 )( 00650 X bull 00700 X bull 00750
P OSM U4 P OSM U4 P OSM U4 P OSM U4 P 05104 U4 IK) tTOqR) (JMOLE) (TORR) (JMOLE) ClORR) (JMnLE) (TORR) (JMOLE) (TORR) tJMnL[)
0000 1132001 4161-002 1222001 4492-002 1244001 4574-00i 1354 001 4980-002 1462001 5 376- 002 0001 1132001 4161-002 1222001 4492-012 1244001 4575-00i 1354001 4980-002 1462001 5 376-002 0002 1132001 4162-002 1220001 4493-002 1244001 457S_002 1355001 4981-002 1 462001 5377-002 0003 1132001 4163-002 1222001 4494-002 1245001 4576-002 135S001 4982-002 1463middot001 5378-002 0004 1133001 4164-002 1223001 4496-002 1245001 4578-002 135S001 4q84-002 1463middot001 5380-002
0006 1134001 4169-002 1224001 4500-002 1246001 4582-002 1357001 4Q88-002 1 464001 5384-002 0008 1135001 41 75-002 1225001 4506-002 1248001 4088-002 1358001 4994-002 1466001 5 391-002 0010 1137 001 41 82-002 1228001 4514-002 1250001 4591gt-002 1360001 Sn02-002 1468001 5 399-002 001 2 1middot140001 41 9 1-002 1230001 4023-002 1253001 4606-002 1363001 5012-002 1471001 5+09-002 001 4 1143001 4202-002 1233001 4534-002 1256001 4617-002 1366001 S1)24-002 1 474001 5+21-002
0016 1146001 4215-002 1237001 4547-002 1259001 41gt30-002 1370001 5037-002 1478001 5434-002 001 8 1100001 4229-002 124hOOI 4562-002 1263001 4645-002 1374001 50S2-002 1 482001 5 450-002 0020 11S5001 4245-002 1245001 4578-002 1268001 4661-002 1379001 5069-002 1487001 5 467-002 0025 1167001 4293-002 1258001 4627-01)2 1281001 4710-002 1392001 5119-002 1501001 5 518-002 0030 111l13001 4350-002 1274001 4686-002 1297001 4769-002 1 409001 5180-002 151$001 558-002
0035 1201001 4418-002 1293001 4755-002 1316001 4839-002 1428001 S252-002 10538001 5 b55-002 0040 10222001 4495-002 1315001 4834-002 1338+001 4919-002 1451+001 5334-002 1561001 5 139-00shy0045 1246001 4582-002 1339001 4924-002 1362001 5008-002 1476001 5427-002 1587001 5middot M34-OO2 0050 1272001 4678-002 1366001 5023-002 1389001 5lOR-002 1504001 5529-002 1616001 5 94 0-002 0060 131001 4895-002 1427001 5247-002 1 451001 5334-002 1567001 5763-002 1681001 6 181-002
0070 1399001 5144-002 1497+001 5503-002 1S21001 5592-002 1640001 6031-002 1757001 6 459- 002 OOlllO 1474001 5418-002 1574001 5788-002 1599001 S880-002 1722001 6331-002 1841+001 6 770-002 0090 15155001 5716-002 1658+001 6098-002 1684+001 6192-002 1811001 o~58-g02 1934001 7110002 0100 1641+001 6033-002 1748001 6429-002 1175001 6527-00~ 1906+001 1008-002 2033middot001 7476-002 0120 18gt7+001 6720-002 1944001 71 47-002 1972+001 7252-002 211 4 001 7771-002 2251001 8 275-002
0140 2027001 7454-002 2153001 7918-002 2184001 8032-002 2338+001 8595-002 2486001 9 141-002 0160 2249+001 8271-002 2386001 8715-002 2~20middotOOI 8900-002 2587+001 9511-002 2148001 1011-001 0180 2459001 9042-002 2608+001 9590-002 2645001 9725-002 21126001 1039-001 3001001 1104-001 0200 26111001 9859-002 2843001 10~5-001 2 883001 1060-001 3079 001 11 32-001 3270001 1 202-001 0250 32t-5middot001 1201-001 3461+001 1273-001 3509+001 1291-001 3747001 1378-001 3979001 1 463- 001
0300 3869001 1423-001 4101001 1509-001 4159+001 1530-001 4442001 1634-001 4718001 1 735-001 0350 4486+001 1651-001 4757+001 1750-001 4824001 1775-001 515f)001 18lt16-001 5478001 2 015-001 0400 514001 1882_001 5424001 1996-001 5500001 2024-001 5880001 2164-001 6252001 2301-001 0450 5748001 2116-001 6098001 2245-001 6185001 2277-001 661 5001 2435_001 7037001 2 590-001 0500 6381001 2353-001 6778001 2497-001 6875001 2532-001 7356+001 2709-001 7829001 2883-001
0550 7030001 2591-001 7463+001 2750-001 7571001 2190-001 8103+001 2986-001 8627001 3178-001 0600 7677001 2832-001 8150+001 3006-001 8270001 3049-001 8854 001 3264-001 Q431+001 3476-001 0 650 11326001 3014-001 8843001 3264-001 8972001 3311-001 9609+001 3545-001 1middot024+002 3 777-001 0700 8977+001 331-001 9537001 3523-001 9676+001 3S74-001 10037002 3R28-001 1middot105002 4079-001 0750 9630001 3563-001 1023002 3785-001 1038+002 3840-001 1113+002 4111-001 1186002 4384-001
0800 1028+002 3811-001 1093002 4049-001 1109002 410B-001 1189002 4401-001 1268+002 4 69 1-001 0850 1094+002 4063-001 1163+002 4316-001 1180002 4379-001 1265002 4692-001 1350+002 5002-001 0900 1110+002 4318-001 1233+002 4581-001 1251+002 4654-001 1342002 4987-001 1432+002 5 317-001 0950 1226002 4580-001 1303+002 4865-001 1322+002 4936-001 1418002 5289001 1514002 5639-001 1000 1291002 4850-001 1373002 51 51-001 1394002 5226-001 1495002 5599-001 1596+002 5 969-001
1100 14raquo3+002 5425-001 151 4002 5758-001 1537002 5841-001 1649002 6255-001 1761002 6 665-001 1400 1506+002 6072-001 1655002 6431-001 1680002 6529-001 1803+002 6q82-001 1 926+002 7 433-001 1300 1688002 6828-001 1196+002 7226-001 1823002 7325-001 1958002 7B1 9-OO1 2091002 8 310-001 1400 1821+002 7743-001 1938002 81 74-001 1967middot002 8281-001 2112middot002 eH600 2257002 9 348-001 1500 1953002 8883-001 2019+002 9346-001 2111+002 9461-001 0267002 1004+000 2423002 1061+000
Page 109
TABLE 10 (CONTINUEO)
X 00800 X 00900 X 01000 X 01100 X 01200
p OS U4 P OS U4 P OSM U4 P OSM U4 P OSM U4 (K) (TORR) (JMOLE) (TORR) (JMOLE) (TORR) (JMOLEI (TORR) IJOLE) ltTORR) IJMOLE)
0000 1567middot001 5760middot002 1764 +001 6487-002 1944+001 7147-002 2102+001 7730-002 2237middot001 8 224-002 0001 1567+001 5760-002 1761H 001 6487-002 1944+001 7147-002 2103001 7730-002 2237middot001 8225-002 0002 1567+001 5761-002 1765+001 6488-002 1944middot001 714~-002 2103-001 7731-002 2237-001 8 226-002 0003 t567middot001 5762-002 176)middot001 64 89-002 1 945-001 7149-002 2103_001 7732-002 2238-001 8 227-002 0004 1568_001 5764_002 1765-001 6491-002 1 945001 7151-002 2104001 7734-002 2238-001 8 229-002
0006 1569middot001 5769-002 1767middot001 6496-002 1 946001 7156-002 2105-001 7 39-002 2240-001 8 234-002 0008 1571001 5775-002 1769001 6502-002 1948001 7163-002 2107-001 7746-002 2242-001 emiddot 242-0020010 1573-001 5784-002 1771-001 6511-002 1951-001 7172-002 2110-001 7756-002 2245-001 8252-002 0012 1 576001 5794-002 1774middot001 6522-002 1 954001 7183-002 211 3-001 7767-002 2248001 8e63-002 0014 1579001 5806-002 1777001 6535-002 1 957-001 7197-002 211 6 001 7781-002 2e52-001 8e78-002
0016 151l001 58eO-002 1781001 6549-002 1962001 7212-002 2121-001 7797-002 2256middot001 8294-002 001 8 1597001 5836-002 1786001 6566-002 1966001 7229-002 2126+001 7fl15-002 2261-001 8 312-002 0020 1592-001 5854-002 1791-001 )584-002 1971-001 7248-002 213hOOl 7e35-002 2267+001 e333-002 0025 1606+001 5906-002 1806middot001 6639-002 1987+001 7305-002 21 47 001 7894-002 2283-001 8394-002 0030 1604-001 5970-002 1824-001 )706-002 2006-001 7375-002 2167+001 7966-002 2304-001 8 468-002
0035 1644001 6045-002 1845middot001 6785-002 2028-001 7457-002 2190-001 8051-002 2328-001 8 557-002 0040 161110001 6132-002 1870-001 6876-002 2054001 7552-002 221 7-001 81 49-002 2357-001 8 667-0020045 1694001 6230-002 1898-001 697-002 2083-001 7658-002 2247_001 8260-002 2387001 8774-002 0050 1774001 6339-002 1929001 7092-002 2115-001 7777-002 22810001 8384-002 2 421-001 8 901-002 0060 1791-001 6587-002 2000-001 73 53-002 2190-001 11051-002 2358-001 8668-002 2501-001 195-002
0070 1869-001 6873-002 2082001 7656-002 2276001 8369-002 2448_001 9001-002 2595001 9 541-002 OOAO 1907001 7195-002 2175-001 7998-002 2374_001 87lt9-002 2551001 9378-002 2702-001 9 935-002 0090 2053_001 7548_002 2277-001 8374-002 2484001 9131-002 2666001 9flOO-002 2822-001 1038-001 0100 2116-001 7928-002 2389+001 8783-002 2 600-001 9561-002 2789-001 1025-001 2951+001 1085-001 0120 gt3R30001 8762-002 2633001 9682-002 2861+001 1052-001 3065001 1127-001 3243-001 1192-001
0140 2630001 9669-002 2901-001 1067-001 3149001 11M-001 3372+001 1gt40-001 3S67-001 i31l-001 0160 2904001 1068-001 3200001 11 77-001 3 471001 1276-001 3716001 1366-001 3931middot001 1445-001 OlRO 311-001 1166-001 3494001 1285-001 3790001 1394-001 4059_001 1492-001 bullbull298-001 1580-001 0200 3455-001 1270-001 3806-001 1399-001 4130001 1519-001 4426001 1627-001 4691middot001 1 12C-0010250 42r15middot001 15lt6-001 4635+001 1704-001 5036-001 1852-001 5 1 4060ll1 1988-1ll1 5744-001 2112-001
0300 4988001 1835001 5505middot001 2025-001 5991001 2203-001 6445+001 2370-001 86001 ~524-001 0350 5794001 2131-001 6403001 2355-001 6980001 2567-001 7523_001 2761-001 8030001 ~953-001 0400 6616001 2434-001 7321001 2694-001 7993001 2940-001 8629001 374-001 9230middot001 3 395-001 0450 7451001 2742-001 8254001 3037-001 9023-001 3320-001 9757001 3590-001 1045+002 3846- 0010500 8294001 3054-001 9198001 3386-001 1007002 3706-001 1090002 4012-001 1170002 4304-001
0550 9144001 3368middot001 1015-002 3738-001 1112002 4095-001 1206002 4439-001 1295002 4769-001 0600 9999+001 3685-001 1111-002 4094-001 1219002 4489-001 1322002 4870-001 1422middot002 5 238-001 0650 1086002 4005-001 1207002 4452-001 1326+002 4886-001 1440002 5306-001 1550002 5712-001 0700 1172002 4327-001 130bullbull 002 4813-001 1 433002 528~-001 1558_002 5744-001 1679002 6 189- 001 0750 121119002 4651-001 1402-002 51 76-001 1541+002 5688-001 1677002 61 81-001 10809002 6 671-001
0800 1346002 4978-001 1500002 5543-001 1650+002 6094-001 1796002 6632-001 1939-002 7156-001 0850 1433middot002 5309-001 1598+002 5913-001 1758-002 6504-001 1916002 7082-001 2069-002 7046-001 0900 1510002 5644-001 1696002 6288-001 1867002 6920-001 2036002 7538-001 2200002 S142-001 0950 1608002 5986-001 1794 002 6670-001 1977002 7342-001 2156002 8000-001 2331middot002 8 644-001 1000 1696002 6336-001 1893002 7060-001 2086002 7772-001 2276002 8470-001 2463002 9155-001
1100 1871002 7072-001 2091002 7877-001 2306002 8670-001 2518002 9450-001 2727002 1 022000 1200 2048+002 7881-001 2289-002 8767-001 2527002 9641-001 2761+002 1050000 2992002 1135000 1300 2224-002 8799-001 2487-002 9767-001 2747002 1072-000 3004 -002 1167-000 3258002 1260+000 1400 2401-002 9877 001 2686+002 1093-000 2969002 119000 324amp-002 1299-000 3524+002 1 400-000 1500 2578002 1118-000 21186+002 1231+000 3190-002 1343-000 3492_002 1454-000 3791-002 1564-000
Page 110
TABLE 10 (CONTINUED)
)( 01300 )( 01400 X bull 0middot1500 X bull 01600 X bull 01 800
P 0gt U4 P OS U4 P OS U4 P OSM U4 P OSM U4 (K) (TO~RI (JMOLE) (TORR) (JOLE) nORR) (JOLEI (TORR) (JMOLEI (TORR) tJOLE)
0300 7248001 2665-001 7594+001 2792-001 7902001 2905-001 8170+001 1003-001 8578001 3 152-001 0350 0 400
13501+001 9792001
3126-001 3601-001
8933001 1032002
3285-001 3794001
9 1 326+0111 1080+002
34ZQ-QU3971001
9677+QQl 1124002
3558-gU 41 33-001
1025002 1middot199+002
3 768-001 4 408-001
0450 1111002 408B-001 1173002 4315-001 1231002 4527-001 1284+002 47Z3-001 1318middot002 5061-001 0500 1245002 458Z-001 1317+002 4846-001 13a5+00z 5094-001 1448+002 53Z6-001 1middot56100Z 541-001
0550 13111+002 5084001 1463+00Z 5384-001 1541002 5669-001 161 4 002 5938-001 1747middot00Z 4Z7-001 0600 1519002 5591-001 161100Z 59Z9-001 1 699+00Z 6Z52-001 1782+002 6559-001 1936+002 71Z3-001 0650 0700 0750
1657+002 1796002 191700Z
6103_001 66Z0-001 71 41-001
1760+002 1910+00Z 2060middot00Z
6480-001 70 36-001 7596-001
1858+002 Z019+00Z Z180002
6841-001 7436-001 8035-001
195c002 2123+00Z Z29b00Z
71 87-001 7AZO-001 8459-001
21Z7+00Z Z319+002 251300Z
7 8Z7-OO1 8 539-001 9 258-001
0800 207700Z 7666-001 2Z1Z+00Z 81 61-001 Z343+00Z 8640-001 Z469002 9104-001 2709+00Z 9 982-001 0850 0 900 0950 1000
ZZ19+00Z 2361002 Z503+00Z 2646+002
8196-001 8731-001 9Z74-001 98Z6-001
2364middot00Z 2S17+00Z 2671+002 2824+002
8731-001 9307-001 9890-001 1048+000
Z506+002 Z670+00Z Z834+00Z 2999+002
9250-001 9867-001 1049+000 1112+000
264300Z Z91 8+00Z 2994+00Z 370middot00Z
9754-001 1041000 1108+000 11 75000
2 90Smiddot00Z 310Z+00Z 3300middot00Z 3499+002
1071000 1145+00( 1middot 2Z 0+ 000 1 296 000
1100 2932+00Z 1097+000 3133middot00Z 11 71middotOno 333000Z 1243+000 35Z4002 1314000 38911middot00Z 1 452 +000 1200 3Z19middot00Z 1219000 344002 1301+000 3 b63+00Z 1382+000 387900Z 1461+000 4300+00Z 1 61lmiddot000 1300 1400
3511+002 379600Z
135Z000 1501+000
375400Z 4066 +002
14Z000 1599+000
399700Z 4331+00Z
1531+00n 1697+000
4236+002 4594+00Z
1619+000 1793+000
4702+002 S107+00i
1 790 000 1 98 1000
1500 4086+002 1672000 4378002 1779+000 4667002 1885+000 4952002 1990000 551Z+002 2 195000
TABLE 10 (CONTINUED)
)( 02000 X nZ250 X 02500 X 0Z7SO X bull 03000
p OS U4 P OSM U4 P OS U4 P OS U4 P OS U4 (K) (TORRI (JMOLE) (TORRI eJMOLE) (TORR) (JMOLEI eTORR) (JMOLE) (TORRI IJOLEl
0300 8807001 3236-001 88Z1+001 3240-001 8510001 3124-001 7f4b+001 2878-001 6801+001 2 493-001 0350 1064middot002 3910-001 108~+00Z 3987-001 1074middot00Z 394Z-001 1026+002 3766-001 9409+001 3449-001 0400 0450 0500
IZII)6+00Z1453+00Z 16-6+00Z
4614-001 5341-001 6086-001
1Z98middot00Z 1519+00Z 1746+00Z
4770-001 5581-001 6414-001
1308+002 155Z+00Z 18Z+QQZ
4803-001 5697-001 ~618-QOl
IZ82+002 1548+00Z 18Z3+00Z
4704-001 5681-001 690-001
1217+00Z 1506+00Z 1805002
4464-001 55Z3-001 6 619-001
0550 18I)Z+002 6846-001 1977-002 7Z65-001 Z058+00Z 7561-001 Z104+002 7724-001 2111+002 145-001 0600 0650 0700 0750
Z071+00Z 2Z113+00Z 2491-00Z Z713+00Z
7617-001 8399~001 9189-001 9987-001
Z212+002 Z450-002 Z691+00Z 2934+00Z
81 31-001 9009-001 9898-001 1080000
Z319+002 25114+00Z Z85Z+002 3123+002
8521-001 9496-001 1048+000 1148+000
Z391+002 Z683_00Z Z978+002 3Z7600Z
8779-001 9-51001 1094+000 1204000
Z425middot00Z Z743+002 3066+00Z 3393+002
11895-001 1 007 -000 1 1Z5 +OOO 1246+000
0800 0850 0900 0950 1000
29~0middot00Z 3148+00Z 3368+00Z 3589+002 3810middot00Z
1079+001) 1161+000 1243-000 13Z6-000 1410-000
3179002 34Z6+002 3674+002 3923+00Z 4173+00Z
1110000 IZ6Z+000 1354 +000 1449+000 1543+000
3396+00Z 3 671+00Z 3948+00Z 42Z6+002 4505+00Z
1Z49000 13H+000 1454+000 1558+000 1664+000
3571hOOZ 388200Z 4188_00Z 4495+00Z 4805+002
1315000 1428+000 1541000 1656 +000 1772+000
37Z3+00Z 4056-00Z 439Z+00 41 47Z9+002 5069+00Z
1 368000 1 49 1+000 1 615000 1 74 1+000 10 868+000
1100 4256+002 158Z+000 4677+00Z 1736+000 5068+002 1879+000 54Z8+00Z Z010000 0753+00Z ZIZ8+000 IZ00 1300 1400
4703+002 5153+002 5605+00Z
1763+000 1955+000 Z164000
5184-002 5693+002 6Z0 4+00Z
1939+000 ZI12middotOQO Z383+000
5635+00Z 6Z04+00Z 6776+00Z
Z103+000 Z339+000 Z592-000
6055+00Z 6686_002 7320middot00Z
Z256-000 ZSI5+000 Z790+000
6 443middot00Z 7137+00Z 7834+00Z
2 396 +000 2middot b78 +000 Z976+000
1500 605 7 -002 2395+000 6717+002 Z637+000 7351+00Z Z86+000 7957+002 3089+000 8535+002 3 Z98 -0OO
Page 111
TABLE 11
THE SPECIFIC HEAT 0 THE TOTAL HE3 - HE4 ~OLUTION
C IJMOLE-I()
TX 01001 00002 00005 00010 00020 00030 00040 00050 00060 00080
(I()
0000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 0002 0003
6509-004 949_004 1066_003
8928_004 1516_003 1853_003
1254_003 2402_003 3316_003
1593-003 3139_003 4514-003
2016_003 4010_003 5956_003
2314-003 4613_003 6882_003
255it_003 5094_003 1112-003
215-003 S50_003 8 I29-003
2933-003 5858_003 8168_003
3239-003 Amiddot12-003 9 693-003
0004 1124-003 2040-003 3910_003 5828_003 1821-003 9101_003 1010-002 093-002 1166_002 i290-002
0006 1171-003 2221-003 4180-003 1103-003 1115-002 13l9-002 1489_002 1620-002 113l-002 1 923-002 0middot008 lol01-003 2middot315-003 5l1 4-003 8924-003 1382-002 1100-002 1932-00l 2119-002 2217-002 2 54 1-002 OOlO 0012 0014
124-003 t 222-003 12l1-003
2middot364-003 2394-003 2middot414middot003
5413-003 5640-003 5155-003
9121-003 1028-002 1067-00l
1586-002 1141-002 1860-00l
2010-002 2263-002 2468-002
2327-002 2666-002 2951-002
pS18-002 li990-00l 3349-00l
2790-002 3259-002 3683-002
~136-002 3middot 699- OO 4224-002
0016 0018 0020 0Ol5 0030
1231-003 1234-003 1236_003 240-003 1243_003
2429-003 2439_003 2447_003 2461-003 2470-003
5838-003 5899_003 5941_003 6021_003 6071-003
1091-002 1119-002 1136-002 11 66-002 1185-002
1952-002 20l4-002 20U-00l 2187-002 2255_002
2635-002 2171-00l 2883_002 3088-00l 3226_002
31 92-002 3395 _O0l 3560_002 3888_002 4l09_00l
110 6511-002 3926-002 4156-002 603-002 4917-002
4056-002 4384-002 4612-002 5245-002 5659-002
4 (07-00l 5145-002 5 538-002 6353-002 6 913-002
0035 1245-003 2477-003 6111-003 11 97-002 2301-002 3321-00l 4I68-002 51 46-002 5965-002 447-002 0040 1248-003 2483-003 6136-003 1206-002 2334-002 3392-002 4385-002 5319-002 6198-002 7814-002 0045 0050
1251-003 1254-003
2487-003 2492-003
6155-003 6170-003
121]-002 1218-002
2359-002 l379-002
3445-002 3486-002
4414-002 4~43-002
545 t-002 554-002
6319-002 6523-002
8104-002 bullbull l38-002
0060 1262-003 2503-003 6196-003 1226-002 2406-002 3545-002 4644-002 5706-002 6133-002 8687-002
0010 1273-003 2515-003 6218-003 1232-002 2426-002 3586-002 471 4-002 911-002 6818-002 8929-002 0080 0090
1287-003 1305-003
2530-003 2549_003
6240-003 6264-003
1236-002 1241-002
2440-002 2451-002
3615-00~ 3637-002
4763_002 4S01-002
5886-002 lJ9 43-002
6983-002 7063-002
9 107-002 9 24 1-002
0100 0120
1328-003 13S1-003
2572_003 2632_003
6291-003 6356_00 3
1245-002 1253-002
2460_002 2476_002
3655_002 3683-002
411131-002 4875_002
5987-002 6053-002
1125-002 7215-002
346-002 9 498-002
0140 1471-003 2716-003 6444-003 1263-00l 2 491-002 3106-002 4910-002 Cmiddot101-002 7280-002 605-002 0160 0180 0200 0250
1middot581-003 17~3-003 1900-003 2523-003
2827-003 2969-003 3146-003 3710-003
6557-003 6101-003 6879-003 7505-003
1215-002 1290-002 1309-002 1372-002
2507-002 2524-002 2544-002 2 611-002
3128-002 3749-002 3773-002 3844-002
4939-002 4966-002 4994-002 5073-002
61 40-002 70331-002 615-002 7315-002 ~208-002 1415-002 6196-002 1514-002
9middot85-002 9 751-002 808-00l 9 935-002
0300 3453-003 4699-003 8435-003 1465-002 2106-002 3943-002 5176_002 6404-002 7629-002 1 007-001 0350 0400
4150-003 6415-003
5996-003 1122-003
9733-003 1146-002
1595-002 1168-002
2831-002 30ll-002
4076-002 4251-002
5311-002 548ti_002
6544-002 6723-002
7713-002 1955-002
t022-001 1 041-001
0450 8691-003 9931-003 1367-002 1990-002 3233-002 4474-002 5712_002 6949-002 8183-002 1065-001 0500 1146-002 1210-002 1644-002 2266-002 3510-002 4751-002 5991_002 7228-002 8464_002 1093-001
0550 14114-002 1608-002 1982-002 2604-002 3848-002 50At-002 632-002 715611-002 8804-002 i127-001 0600 0650 0100 0750
1898-002 2563-002 3694-002 5612-002
l022-00l 2688-002 3819-002 5736-002
2396-002 3061-002 4192-002 6109-002
3018-002 3683-002 4813-002 6729-002
4261-002 4 926-002 6055-002 7969-002
5503-002 6167-002 7296-002 9208-002
6743-002 1407-002 8535-002 1045-001
7982-002 86411)-002 9714-002 11611-001
9220-002 9884-002 10101-001 10 292-00 1
1169-001 1236-001 348-001 1539-001
0800 8718-002 8842-002 9214-002 9833-002 1107-001 1231-001 1354-001 1418-001 1601-001 1847- 001 0850 0900 0950
10346-001 2031-001 2970-001
1359_001 2043_001 l982001
1396-001 2080-001 3019-001
1457-001 21 41-001 3080-001
1581001 2264_001 3201-001
1704-001 2387-001 33l3-001
1e21-OO1 2509-001 3444_001
195 0-001 2631-001 3566-001
l073-001 2754-001 3687-001
2 318-001 2 998-001 3930-001
1000 4203-001 42lS-00l 4252-001 4312-001 4432-001 4553-001 4173_001 193-001 4913-001 5153-001
1100 7106-001 7718-001 7153-001 7812-001 1929-001 8046-001 8162-001 8middot279-001 8396-001 8 629-001 1200 1292+000 1293+000 1296+000 1302+000 1313+000 1324+000 1335000 1346+000 1357+000 1380+000 10300 1400
2046+000 3115+000
2047middot000 3116+000
2050+000 3119+000
2055+000 3124+000
2066000 3133middot000
2076+000 3142+000
2087+000 3152000
raquo097+000 31 61000
2107+000 3170+000
2 128+000 3189+000
1500 41532+000 4533middot000 4535middot000 4539+000 4541+000 4555+000 4063+000 4middot11+000 4579+000 4595+000
Page 112
TAIR 11 (CONTINuEDI
C (JOLE-IltI
011100 00130 00200 00250 00300 00350 00400 00450 00500 00550T~ 110
0000 0000middot000 II 000000 00011middot000 0000middot000 0000middot000 0000middot000 0000000 0middot000middot000 0000000 0000middot000 0001 3~00middot003 4035003 4410003 484 3003 5115-003 5415-003 515-003 1009-003 6250-003 6471-003 0002 69CJ5003 8067_003 8937003 9685003 1035_002 1095_002 11 511-002 1202-002 1250_002 1295-002 0003 1048-002 209_002 1340-002 1452-002 1552002 1642-002 112S_002 11102-002 1814-002 1943- 002 0004 13CJ5_002 1611_002 1186_002 1935002 2068_002 2189_002 2299002 2402_002 2499_002 2 590-002
0006 2084-062 2410-002 2614-002 2899-002 3099-002 3280-002 3441-002 3601002 3746-002 3 1t83-002 0008 2160-002 202-002 3556-002 3858-002 4126-002 43611-002 4591 -002 41 91-002 4991-002 5114-002 0010 3419-002 30982-002 4430-002 4811-002 5148-002 5452-002 5131-002 5990-002 6233-002 emiddot461-002 0012 4054-002 4148-002 5294-002 5156-002 6163-002 6529-002 6866-002 11111-002 1410-002 1745-002 0014 4659-002 5495-002 6144_002 6690-002 7169-002 7600-002 7994_002 8360-002 8702-002 025-002
0016 52lt6-002 6219-002 6918_002 1611-002 8165-002 8661-002 9115-002 953-002 9928002 1 030-001 0018 5156-002 915-002 1792-002 8517-002 9148middot002 9112-002 1023-001 1070-001 1115-001 1middot157-001 0020 6243-002 1518_002 8582_002 9405-002 1012-001 1015-001 11 33_001 1 86-001 1236001 1282-001 0025 72111-002 9085-002 1043-001 11 53-001 1246middot001 1328-001 140J-001 1471-001 1534-001 1593-001 0030 8102-002 1036-001 1209-001 1348-001 1 466_001 1569_001 1662_001 1146-001 1824-001 1 891-001
0035 a150-002 11 42-001 1352-001 1524-001 1668-001 1795-001 1908-001 2middot010-001 2104-001 2191-001 0040 9264-002 IUI-00l 1416-001 1619-001 1853-001 2004-001 237-001 2259-001 2311-001 2 4 14-001 0045 9616-002 1305-001 1582-001 1816-001 2017-001 2194-001 2]51-001 2 0493-001 2623-001 2 143-001 0050 1001-001 1middot361-001 1614-001 1936-001 2164-001 2366-001 2541 -001 2710-001 2860-001 2 997-001 0060 1052-001 1464-001 1821-001 2134-001 2412-001 2661-001 2886-001 092-001 3282-001 ]457-001
0070 1088-001 534_001 1931-001 2287-001 2608-001 2899-001 31 66-001 412-001 3640-001 31153-001 0080 10114-001 1587-001 2015-001 2406-001 2764-001 3093-001 3397_001 680-001 3943-001 4- 190-001 0090 1134-001 1628_001 2081-001 2500-001 2889-001 3250-001 3587_001 3903-001 4199-001 4 479-001 0100 1150-001 660-001 2134-001 2576-001 2990-001 3379-001 3745-001 4090-001 4416-001 4 125-001 0120 1173-001 1707_001 2212-001 2691-001 3145-001 3571-001 3988_001 4381-001 4756-001 5115 001
0140 1188-001 1740-001 2267-001 2771-001 3255-001 3119-001 41 65-001 4593-001 5007-001 5 405-001 0160 1200-001 1764-001 2307-001 28l1-001 3336-001 38Z5-001 4298-001 4755-001 5197-001 15 627-001 0180 1210-001 783-001 2338-001 2816-001 3398-001 3906-001 4399_001 4880-001 5347-001 SJJ01-001 0200 10217-001 1797-001 2362-001 2912-011 3 447-001 3970-001 4480-001 4977-001 5464-001 Smiddot940-001 0250 1234-001 1826-001 2406-001 2976-001 3535-001 4083-001 4123-001 51 52-001 5673-001 6185-001
0300 1249-001 1848-001 2439-001 3020-001 3594-001 4160-001 471 7001 ~26R-00I 5811-001 6 347-001 0350 1266-001 810-001 2467-001 3057001 3640-001 4217-001 4788-001 5352-001 5911-001 6 4 64-001 0400 1286_001 1893_001 2495_001 309 1-001 3681_001 4266_001 41146_001 5420-001 5990-001 6554001 0450 1310001 1920_001 2525_001 3125-001 3 720_001 4311_001 4891_001 5479-001 6057_001 6630-001 0500 1339_001 1951_001 2558001 31 61_001 3160_001 4356_001 4947_001 5535-001 6119-001 6 b99-001
0550 1374-001 1987-001 2596-001 3202-001 3804-001 4402-001 4998_001 111590-001 6179-001 6764-001 0600 1416-001 2030-001 2640-001 3248-001 3852-001 4454-001 5052-001 5648-001 6240-001 6 830- 001 0650 1482-001 2097-001 2709-001 3318-001 3924-001 4527-001 5128-001 5726-001 6322-001 6 915-001 0100 1middot595-001 2210-001 2822-001 3432-001 4039-001 4644-001 5246-001 5846-001 6444-001 1040-001 0750 10185-001 2400-001 3012-001 3622-001 4230-001 4835-001 5439-001 6040-001 6639-001 7236-001
0800 20CJ3-001 2707-001 3318-001 3928-001 4535-001 5140-001 5744_001 6345-001 6945-001 7 542-001 0850 2564-001 3175-001 3185-001 4393-001 4999-001 5603-001 6205-001 806-001 1405-001 8002-001 0900 3242-001 3851_001 4458-001 5063-001 5666-001 6268-001 6868_001 1466-001 8063-001 8659-001 0950 4112-001 4716-001 5379-001 5980-001 6580-001 7178-001 7714-001 111middot369-001 8962-001 9554-001 1000 5393-001 992001 6589-001 1184-001 7178-001 8371-001 8962-001 9552-001 1014000 1 073000
1100 8162-001 9444-001 1002middot000 1060000 1118middot000 1176middot000 1233000 1291000 1348+000 1405000 1200 1402000 14580000 1513000 1568000 1624000 1679+000 1734000 1789middot000 1844000 i 898middot000 1300 2149middot000 2201000 2253middot000 2304middot000 2356000 2407000 2459000 2510middot000 2561middot000 2 612000 1400 3208000 3254000 3301middot000 3347000 3393000 3440000 3486000 3S32middot000 3518middot000 3 623000 1500 4611middot000 4650000 4690000 4729middot000 4168middot000 48070000 4846000 488middot000 4924middot000 bullbull 963middot000
Page 113
TABLE 11 (CONTINUE)
C IJMOLE IO
0 00600 00640 00650 00700 00750 00800 OOYOO 01000 011 00 01i00
00
0000 00110+000 (1000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0middot000+000 0000+000 0000+000 0001 6693-003 6858_003 6899_003 7096-003 7285-003 7467_003 71114_003 bullbull 139-003 8447-003 8 74 0-003 000i 1339-002 137i-002 1380-00l 1419-002 1 1057-002 1493-002 1563_0(12 628-002 168Q-00l 148-002 0003 200 8_002 2057_002 2069_00 2 2128-00i 21115_00i 224O_OOi 2344_002 2441-002 2534_002 2 622-002 0004 i676_00i 2743_002 2759-002 2838-002 29 13_002 2986_002 3J2amp-002 3255-002 3378-002 3495-002
0006 4013-002 4112-002 4136-00l 42amp5-002 4369-00i 4478-002 4 86-002 4e81-002 5066-002 Si42-002 0008 5347-002 5480-002 5512-002 5670-002 58ii-002 5968-002 6i46-00i 650-002 6753-002 6988-002 0010 6679-002 845-002 6885-002 7083-002 1273-002 7456-002 7803- 002 11130-002 8438-002 8middot732-002 0012 8006-00i 1I206-00i 8255-002 8493-00i 8722-002 8941-002 9359-002 Q S1-OO2 1012-001 1047-001 0014 9330-002 9564-00i 9621-00i 9819-002 1017-001 1042-001 1091-001 11 37-001 10180-001 1 22 1-001
0016 10t5-001 1092-001 1098_001 11 30-001 1161-001 1190-001 1246_001 loi9s-001 1 348-001 1 395-001 0018 1196-001 1226_001 12310-001 1270-001 1304-001 1337-001 1400-001 1459-001 -515-001 1568-001 0020 1327_001 1360 001 1369 001 1409-001 1 447_001 1484_001 1554_001 1620-001 168i-001 1 741 - 001 0025 1649_001 1692-001 1703-001 1753-001 1802-001 1849-001 1937- 001 iOiO-OOl i098-001 2172-001 0030 19M-00I i018-001 i030-001 209i-OOl iH51-001 ii08-001 i3IS-001 i415-001 i510-001 2 599-001
0035 2i73-001 2336-00 i351-001 i4i4-001 i494-001 i561-001 i89-001 2A06-001 i917-001 3023-001 0040 i570-001 i6103-001 i661-001 i747-001 28i9-001 i901-001 3054_001 3191-001 3320-001 3441-001 0045 2855-001 2939-001 2960-001 3059-001 3154-001 3243-001 3412-001 middot569-001 3715-001 3 854-001 0050 3125-001 3222-001 3245-001 3359-001 3466-001 3569-001 3760-001 393A-00I 4103-001 4 259-001 0060 3621-001 3744-001 3173-001 3916-001 10052-001 4181-001 442l-001 4644-001 4851-001 SOH-OOI
0070 40111-001 420i-001 4i38-OO1 4414-001 4581-001 4739-001 5032_001 530i-00 5553-001 5 787-001 0080 443-001 45-001 4642-001 4850-001 5047-001 5235-001 5086_001 5908-001 6204-001 6 1081-001 0090 4743-001 4944_001 4993-001 5i31-001 5458_001 5674_001 6080-001 0454-001 6802-001 1126-001 0100 501 8-001 5242 001 5297_001 5563-001 5818_001 6062-001 6020_001 6946-001 7342-001 7 13-001 0120 5459_001 50724_001 5789_001 6106-001 6 411-001 6705_001 7i6~_01)1 7782-001 8270-001 8 31-001
0140 5790-001 61189-001 616i-001 6S21-001 6869-001 7206-001 7848_001 8454-001 9026-001 569-001 0middot160 6044-001 6369-001 6449-001 6843-0111 7226-001 7599-001 831 4-001 8994-001 9641-001 1 026-0011 0180 6i44-001 6590-001 6676-001 7098-001 7509-001 7911-001 868amp-001 9-431-001 1014000 1 082+0011 0i00 6405-0111 6769-001 6859-001 7303-001 7739-001 8165-001 8Q9J-OOI -789-0 0 l 1056+000 1129+1100 02511 6689-001 7086-001 7184-001 7673-001 8154-001 8626-001 9S5U-ODI 1045+000 1132+0110 1216+000
0300 6877-001 7295-001 7399-001 7915-001 8 425-1101 8929-001 9lt11 9-001 1089+1100 1183+0110 1 276+000 0350 7011-001 7444_001 7552001 8088-001 8619-0111 9145-001 1018+000 11211+000 1ii0-DOO 1 318+000 11400 711 4-001 7559_001 7669-001 8220-001 8766-1101 9308-001 1038+000 11 43+000 1247+000 t 349 +ODO 0450 7i00-ODl 7653_001 7765_1101 83i7-001 8885_001 9438_001 1054 +0011 1162+000 1~269000 1 374 +000 11500 7276-001 7735-0111 7849-0111 8419-001 8985_0111 9549_001 1061+0(10 11 77+000 1286+0110 1 394+000
0550 7347-0111 7811-001 1920-001 8503-001 9076-001 9647-001 1078 -01111 1190000 1301+0011 411 +000 0600 7417-001 7885-1101 8001 001 8583-1101 9162-001 9739-1101 1088+11110 1middot202+000 1314+1100 4i6+000 0650 7SDI-001 7976-001 80910-001 8679-0111 9263-001 9844-1101 10 100+11110 1215+000 13i8+00D 1441+000 07011 76]3-001 8106-1101 8224-001 8813-001 9400-001 9985-001 111 5+000 1(31)+000 1345+0110 1 459+000 0750 7middot831-001 8306-1101 8424-001 9015-001 96115-001 101119+1100 1136+000 1middot252+000 1368+000 1482+0011
08110 81~8-001 8614_11111 873i-001 9325-1101 9915-0111 1050+000 1168+000 1284+000 1400-000 515+0011 118511 11laquo97_001 91173_1101 9191-11111 9183-0111 11137+11110 111960110 121 4000 1330+11110 1446+1100 1 562+0011 0900 9i5i-OD1 9726-001 9845-001 1044+0110 1102+11110 1161+000 1218000 1395+0110 1511000 6i6+000 0950 101114+0011 11162+000 1073+111111 11 32+0011 1191+1100 1249+000 1366+000 14820011 1598+000 bull fl3+000 1000 1131+0110 11780011 1190-000 1248+1100 1306+000 1364000 1480+0110 11595+000 1710+000 1 824+0011
1100 14(12+0011 1508+1100 151 9+1100 1576+01111 1633+0011 1689+000 180i+QOO 1914+11110 2026+000 2138+000 121111 1953+000 1997+1100 21101+11110 20tli+DDO 2116000 i170+DDO iZ79_DDO 2386+0011 2494+11011 ZbOl+QOQ 103011 2663-1100 2704+11011 2114+000 i7b5+00Q 2816-000 2866+000 2961_11110 306e+000 3168+000 3 268+000 141111 369+11110 37116-000 3715+1100 3760+000 3806+000 3851+000 3942+11011 40 32+000 4122+111111 4 212+0011 15110 5002+000 51133+000 5041+0011 5079-000 5118+ 000 5156+0011 5233+0011 ~309+QOQ 5386+000 5 46i+ODO
Page 114
TABLE 11 ltCONTINUED)
C IJMOLEmiddotIO
01300 01400 01500 01600 01800 02000 02250 02500 02150 03000~ (I( )
0000 0000+000 0000+000 0000+000 0000+000 0000middot000 0000+000 0000+000 0000middot000 0000+000 0000+000 0001 9020003 9288_003 9547003 97n-003 1027-002 1072002 11 20_002 1177-002 1225-002 1i72-002 0002 1804_002 1158_002 1909_002 1959_002 2055_002 2145_002 2252_002 2353-002 2450_002 2 544-002 0003 2706_002 2786_002 2864_002 2939_002 3082_002 3217002 3378_002 3530_002 3676_002 3amp16002 0004 3607_002 3715_002 381 8002 3918_002 4109002 4289_002 4503_002 4706_002 4901_002 15 088002
0006 5410-002 5571middot002 5727-002 5817-002 6163-002 6434-002 6154_002 7059-002 7350-002 7 03 1-002 0008 7212-002 7427-002 7634middot002 7834-002 8216middot002 8577-002 9005-002 9411-002 9800-002 1011-001 0010 9012-002 9281-002 9540-002 9790-002 1027-001 10072-001 1125-001 1middotP6-001 1225-001 1272-001 0012 1QIH-OQl 1middot113-001 1144-001 1175-001 1232-001 1286-001 135U-OOI 1middot411-001 147 0-001 1 526- 001 0014 1middot261-001 1298-001 1335-001 1370-001 1 437-001 1500-001 1575-001 10646-001 11 14-001 1 180-001
0016 1440-001 1483_001 1525-001 1565-001 1641-001 1714-001 1799_001 1881-001 1959-001 2034-001 0018 161 9-001 1668_001 174-001 1760-001 184tgt-001 1927-001 2024-001 215-001 2203-001 2 287-001 0020 11lt)8001 1852_001 1904-001 1954_001 2050-001 2141_001 2248 001 2350 001 2447-001 2 54 1-001 0025 2243-001 2311-001 2376_001 2439-001 2559-001 2673-001 280 7001 2935-001 3056 001 3174-001
0030 26A5-001 2707_001 2846_001 2921-001 3066001 3203_001 336-001 351A-00l 3664_001 3 8OS-001
0035 3123-001 3219-001 3312-001 3401-001 3570-001 3730-001 3919-001 4094-001 4270-001 4 435-001 0040 3557-001 3668-001 3774-001 3876-001 4071-001 4254-001 4471-001 4677-001 4873-001 5062-001 0045 39A5-001 4111-001 4231-001 4347-001 4568-001 4775-001 502U-001 5252-001 5474-001 5 687-001 0050 4407-001 4548_001 4683-001 4813-001 5060-001 5292-001 5560-001 1125-001 6072-001 6309-001 0060 5227-001 5401-001 5567-001 5726-001 6028-001 6310-001 6643-001 6 951-001 1256-001 7542-001
0010 6008-001 218_001 6417-001 6608-001 6 968-001 7304-001 7 98_0111 A06lt)-001 8421-001 8 759 001 0080 6743-001 6991-001 7220-001 7451-001 7874-001 8267-001 8726001 91 56-001 9565middot001 9955-001 0090 1430-001 7716_001 7988001 8249-001 8738_001 9192-001 9120-001 1021+000 1068+000 1 113 +000 0100 8062-001 8392-001 8704-001 9000-001 9551-001 1008000 1068000 124+000 1177+000 lc27000 0120 lt)17 001 9580_001 9914-001 1035+000 1106+000 117+000 1246 +000 1316+000 1382000 1444+000
01 40 1008+000 1058+000 1105+000 1150+000 loc35+000 1314+000 1406+000 1491+000 1570+000 645+000 0160 1085+000 1141middot000 1195+000 1247+000 1346+000 1438+000 11146000 1740+000 829+000646+000 0180 1148+000 1211+000 1272middot000 1330+000 11141+000 1546+000 168+000 1783+000 1891+000 1994+000 0200 1201+000 1269+000 1330+000 1400+000 1523+000 1639+000 1176+000 1904+000 2026+000 2141middot000 0250 1299+000 1379+000 1457+000 1534+000 1681+000 1821middot000 1lt)89+000 247+000 2299+000 2 444+000
0300 1366+000 1454+000 1541+000 1626+000 1791+000 19H+000 21 42 +000 325+000 2502+000 2 671+000 0350 141 4+000 1509+000 1602+000 1694 +OOl 1872+000 2046+000 2255+000 2451+000 2654+000 2 844+000 0400 1450000 1549+000 1647000 1744+000 1 934+000 2118+000 2342+000 2560+000 2771+000 2 978+000 0450 1478+000 1581+000 1683+000 1783000 1981middot000 Z174+000 2410+000 C640+000 2864middot000 3083+000 0500 1501+000 1607000 1711middot000 1815middot000 2019+000 2219+000 246S+0IHI 2104+0 2939+000 3 169000
0550 1520+000 1628+000 1735+000 1841+000 2050+000 2256+000 2509+000 751+000 3000+000 3 240+000 0600 1537+000 1641+000 1756+000 1864middot000 2077+000 2288+000 2541000 2801middot000 3051+000 t29S+000 0650 1553+000 1665+000 1775middot000 1885+000 2102+000 2316+000 2580 +000 2140middot000 3096+000 3349000 0700 1512+000 1685+000 1796+000 1907+000 2121+000 2345+000 213000 2818middot000 3139middot000 3396+000 0750 1596+000 1710+000 1823+000 1935middot000 2157+000 2317+000 26411 +000 2417+000 3181+000 3 443+000
0800 16~0+000 1744+000 1857+000 1970+000 2194+000 2416+00amp 2690+000 961+000 3229+000 1494+000 0850 1677+000 1191+000 1905middot000 2018+000 2243+000 2466+000 2142+000 3015+000 3285+000 3 552+000 0900 1141+000 1856+000 1969+000 2083+000 2308+000 2531+000 2808000 3082+000 3353+000 3 622+000 0950 1821+000 1941+000 2055000 2168middot000 2393+000 2616+0011 2892+000 3166+000 3438+000 3 101+000 1000 1938+000 2051+000 2164+000 2217+000 2501+000 2723+000 2998+000 3211+000 3542+000 3 810000
1100 2249+000 2360+000 2410+000 2580+000 2799+000 3011+000 3287+000 3554middot000 3820+000 4084middot000 1200 2707+000 2814+000 2920+000 3025000 3236+000 3445+000 3704+000 3962middot000 4218+000 4bullbull12+000 1300 3368+000 3467+000 3566+000 3665+000 3862+000 4051000 43011+000 4541+000 4181+000 5019+000 1400 43(12middot000 4391middot000 4480+000 4568+000 4745+000 4920+000 5138+000 5355+000 5569+000 5783+000 1500 5537+000 5613+000 5688+000 5163+000 5 912000 6060+000 6244000 6427+000 6608+000 6 788+000
Page 115
TA8Le 12
THE ENTROPy OF THE TOTAL HE3 - HE SOLUTION
5 (J140LE-K)
~ 011001 00002 00005 00010 00020 00030 00040 00050 00060 00080
UO
0000 0001 0002 0003
0000+000 7128_004 1271-003 16111-003
0000+000 9212_004 1751_003 2411_003
0000+000 126-003 2495_003 3651_003
0000+000 1598_003 lI BO-003 4129_003
0000middot000 2019_00l bullbull 030-003 0026_003
0000+000 2316_003 4626_003 6927_003
000(1+000 21554_003 ~103_003 7t II _OO3
0000+000 c75_003 50-003 8255_003
0000+000 2933_003 5 8h_003 8790_003
0000+000 3239- 003 677-003 9110-001
000 1996-003 299B_003 4701-003 62l2-003 7997-00l 9212_003 10111-00~ i099-002 1171-002 1 29-002
0006 2464-003 3866-003 6483-003 8966-003 1 IB2-002 10371-002 15111-002 1middot-002 1 151-000 1 937-002 0008 0010
2806-003 3075-003
bullbull520-003 503-003
7923-003 9117-003
1136-002 1345-002
151-002 1872-002
1805-002 2219-002
2009-002 2483-002
21 7A-002 2701-002
2l25-00l 28B9-002
2middot~15-002 3a 06-OO2
0012 3298-003 5477-003 1013-002 1527-002 2176-002 2609-002 29311-002 320A-002 30440-002 3 1129-002 0014 3486-003 5847-003 1101-002 1689-002 2 bullbull54-002 2973-00 3371-002 3697-002 3975-002 4439-002
0016 36M-003 6PI_003 1178-002 1833-002 2708-002 3314-002 3782_002 bullbull 165-002 4491-002 5035-002 Omiddotou 0020
3796-003 3926-003
6457-003 6115-003
1247-002 1310-002
1964-002 2082-002
292-002 3159-002
3633-002 3931-002
41 70-002 4536-002
611-002 5037-002
bullbull988-00l 5466-002
51115-002 6178-002
0025 0030
bullbull 202-003 4428-003
72amp3-003 7712-003
1bullbullbull4-002 1554-002
2339-002 2554-002
3amp36-002 bullbull 01-002
bullbull 598-002 5174-002
53amp9_002 60 99-002
6016-002 1188-002
6573-00l 7568-002
705-002 821-002
0035 bullbull620-003 8094-003 1648-002 2737-002 bullbull 392-002 5678-002 6745_002 7660-002 8 bullbull64-002 9833-002 0040 0045 0050 0060
4786-003 bullbull 934_003 5066_003 5295-003
8425-003 8717_003 8980_003 9435_003
1730-002 1802-002 1867-002 1980-002
2898-002 3040-002 3168-002 331-002
4702-002 bullbull 978_002 522a-002 5664_002
6127-002 6529_002 6890_002 7536_002
7323middot002 7844-002 831 9_0112 91)1-0n2
80359-002 0993-002 9573-002 1060-001
9277-00l 1002-001 1070-001 1191-001
1085-001 1179-001 1266-001 1 4Z1-001
0070 5bullbull90-003 9822-003 2075-002 3581-002 6037-002 8086-002 9879_002 11middot9-001 1296-001 557-00 0080 0090 0100 0120
5661-003 581middot-003 5913-003 6200-003
1016-002 06-002 1073-002 1120-002
2158-002 2Z32-002 2298-002 2414-002
376-002 3801-002 4022-002 4250-00Z
6362-002 6650-002 6908-002 7358-002
1566-002 1051-001 8993-002 10107-01)19378-002 11 58-001 100S-001 1241-001
1227-001 1297-001 1359-001 1middot469-001
388-001 1 471-001 1 546-001 1676-001
1 677- 00 1 1185-001 1883-001 2middot0SS-001
01middot0 6419-003 1161 002 2512-002 444-002 771-002 1062-001 1322_001 1S63-001 17811-001 2202-001 0160 6623-003 11 98_002 2599-002 bullbull 613-002 8075-002 1111-001 11118_001 l64S-OOl 1886-001 2 331-1101 0180 0200
687-003 7007-003
1232-002 1264_002
2677_002 2748-002
4764-002 bullbull901-002
8371-002 8638-002
115S-001 1195-001
1bullbull46_001 1499_001
10717-001 1782-001
1972-001 2050-001
Zmiddot6-001 2 5bull 9-001
0250 7493-003 13middot1-002 2908-002 S200-002 9212-002 1280-001 1lIll-00l 1922-001 2217-001 2 169-001
0300 A030-003 1417-002 3053-002 5bullbull57-002 9696-002 1351-001 1704 -001 20311-001 2355-001 2 951-001 0350 0400 0bullbull50 0500
8655-003 9396-003 1028-002 1middot114-002
1bullbull99-002 1590-002 1693-002 1812-002
3192-002 3333-002 3480-002 3638-002
5693-002 5916-002 6137-002 6360-002
1012-001 1051-001 1088-001 1123-001
1bullbull12-001 1middot68-001 1519-001 1568-001
1785-001 1851-001 19Z3-001 1985-001
2]37-001 2226-001 2)06-001 2381-001
2bullbull73-001 2571ll-001 2673-001 2761-001
]107-001 ]i5-001 3 369-001 3 483-001
0550 12i8-002 1948_002 3810-002 6S92-002 1158-001 1615-001 2043-001 0451-001 283-001 3588-001 0600 0650 0100 0750
1bullbull04-002 15110-002 1808-012 2122-00Z
2105-002 2291_002 2527_002 2851_002
3999-002 bullbull215_002 bullbullbull79_00Z bullbull828_002
6835-002 7101-002 7411-002 7803-002
119-001 1230-001 1270_001 1318_001
1661-001 1707_001 1756-001 1813_001
2100-00)21S6_001 2H5_001 2280-001
2519-001 21585-001 265]-001 2726-001
2921-001 2998_001 3075-001 3156-001
]688-001 ]8-001 3879-001 3978-001
0800 2576-002 3312-002 531 4-OOZ 8329-002 1379-001 1881-001 2356-001 2Al]-001 329-001 ~O87-001
0850 0900
3238-002 middot19O-OOZ
3981-002 4941-002
6005-002 698amp-002
9058-002 1007-001
1middot59-001 1568-001
1969-001 2085-001
2452-001 257-001
2914-001 3043-001
3359-001 3bullbull96-001
4 212-001 4 363-001
0950 55gt7-002 6285-002 8350-002 11middot7-001 171-001 2238-001 Z734-001 209-00 3669-001 58-001 1000 7351-002 8middot11-002 1020-001 1335-001 1908-001 2 bullbull311-001 2940-001 3 bullbull22-001 3887-001 4 raO-OOl
1100 1288-001 1366-001 1577-001 1898-001 2483-001 302-001 3538_001 4031-001 4507-001 5 4 22-001 1200 1300 1400
218-001 34H-001 5367_001
2246-001 3S61-001 5447_001
2bullbull61-001 3778_001 5667_001
2787-001 4108-001 6001-001
3381-001 bullbull 711-001 6611_001
3933-001 5271-001 717B_001
bullbull 456 0111 5803_001 771 11 _001
bullbull959-001 11315-001 8237-001
5446-001 6810-1101 8739_001
6381-001 762-001 9 106-001
1500 79110 001 8061-001 8282-001 8619-001 9236-001 9809-001 103S+000 108+000 1139000 1middoti37middot000
Page Ilb
TAlK 12 CONTINUED)
IJMOLE-K)
00100 00150 00200 00250 00300 00350 00400 00450 00500 00550 ~ ItO
0000 0000+000 1)000000 0000000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 31500-003 4035_003 4470_003 4844_0n3 5115_003 547_003 5752_003 6009-003 6250_003 6 477-003 0002 69Q9-003 8070_003 8939_00 3 9686_003 1035002 1095_002 11 5deg_002 202-0OZ 1250-002 1295-002 0003 1049_002 1210_002 1341-002 1453_002 1552-002 1642_002 172)_002 1802-002 1875002 1 943002 0004 1399_002 1613_002 1787_002 1937-002 2069_002 219n_002 2 bull 011-002 2403-002 2500-002 2 591-002
0006 ~OQS-002 2418-002 2679-002 2904-002 3103-002 3284-002 3450-007 3middot604-002 3749-002 3R85-OO2 0008 27~7-002 3220-002 3569-002 3869-002 4135-002 4376-002 415911-002 4middot~04-002 4997-002 5 179- 002 0010 3474-002 4018-002 4457-002 4833-002 5166-002 54-002 5745_002 iIiOOl-002 6244-002 amp472-002 0middot012 4154-002 4812-002 5341-002 5794-0n2 6194-002 6557-002 68911-002 7200-002 7490-002 1 4-002 0014 41125-002 0600-002 6221-002 6751-002 7220-002 7644-002 8033-0112 8]95-002 8734-002 ~U54-002
0016 54A4-002 ~382-002 7096_002 7705-n02 8242-002 8728-002 91 74-OO 95811-002 9976-002 1 034- 001 0018 6131-002 7155-002 7965-002 8654-00 9261-002 9809-002 1031 -001 10711-001 1122-001 163-001 0020 6763-002 7918_002 8827_002 9SY7-0n2 1028_001 1089_001 1145_001 11 97-001 1245-001 I Z9 1-001 0025 8272-002 9775_002 1094_001 11 93-001 1279-001 1356-001 1427-001 1492-001 1S53-001 1 611-001 0030 9675-0n2 1155_001 1300-001 1 420-001 1526_001 1620-001 170S-00t 1785-001 1859-001 1928-001
0035 1097-001 1323-001 1497-001 1642-01l1 1767-001 1879-001 1980-001 1074-001 2161-001 2243-001 00 40 121 8-001 14S1-001 1686-001 1855-001 2002-001 2132-001 22511-001 ]59-001 2460-001 2 554-001 0middot045 1middot39-001 1631-001 1866-001 2061-001 2230-001 2379-001 251 4-001 263A-001 2753-001 2 861-001 0050 143-001 1771-001 2038-001 2259-001 2 450-001 2620-001 27Ta-001 2912-001 3042-001 3middot164-001 0060 16O-001 2030-001 2356-001 2630-001 2 867-001 307E1-001 368_001 3441-001 3602-001 3 152-001
0070 1785-001 2261-001 2646-001 2971-001 3255-001 3507-001 373+-001 3943-001 4136-001 4 315-001 0080 192-001 2469_001 2909-001 3285-001 3613-001 3907-001 4173_001 4416-001 46112-001 4852-001 0090 20115_01)1 2659_001 3151-001 3574_001 3946_001 4280-001 4584_001 4863_001 5122_001 5363 001 0100 20185-001 283Z-001 3373-001 384 1-001 4256-001 4630-001 4971-001 5284-001 5576-001 5 848-001 0120 2397-001 3llY-001 3769-001 4322-001 4816-001 5264-001 5 76_001 6057-001 6 412-001 6 146-001
0140 2579-001 3405-001 11115-001 4743-001 5309-001 5827-001 6305-001 749001 7165-001 7557001 0160 2738-001 639-001 44211-001 5117-001 5750-001 6331-001 68711-001 7374-001 7847-001 8 294 - 0010180 2880-001 3848-001 4694-001 5453-001 6146-001 6786-001 782-0111 7 941-001 8461-001 amp967-001 0200 3008-001 4036-001 4941-001 5758-001 6507-001 7201-001 750-001 bullbull 46f)-001 9038-001 586-001 0250 32A2-00l 4441-001 5473-001 6415-001 7286-001 8100-001 8866-001 9591-001 1028+0011 1 094000
0300 35t18-001 4715-001 5915-001 6962-001 7936-001 8852-001 9718-0()l 054middot000 1133+000 1208+000 0350 3702-001 5062-001 6293-001 7430-001 8494_001 9497-001 1045 +000 11 36000 1223+000 1 307+000 0400 3872-0111 5313_001 66211-001 7841-001 8983_001 1006+000 110Y00O 1208+000 1303000 1 394+000 0450 4025-001 5538_001 6920-001 8207-001 9418-001 1057000 1161+000 1272+000 1374+000 1472+000 0500 4164-001 5742_001 7188-001 8538-001 9812-001 1103+000 1219+000 1330+000 1438+000 1542+000
0550 4293-001 5929-001 7433-001 8841-001 1017+000 1144+000 1266+000 1383+000 1496+000 1606000 0600 445-001 6middot104-001 7661-001 9121-001 1051+000 1183+000 1311hOOO 1432+000 1550+000 1665+000 0650 45~0-001 ~269-001 7875-001 9384-001 1082+000 1219+000 13511000 1middot478middot000 1601+000 1120+000 0700 4644-001 ~428-001 8079-001 9633-001 1111+000 1253+000 1389+000 1520+000 1648middot000 1 172+000 0750 47110-001 6586-001 8280-001 9876-001 10140+000 1285middot000 1426+000 561+000 1693middot000 1821+000
0800 48114-001 6750-001 8483-001 1012middot000 1168middot000 137+000 146Z+000 1601000 1137+000 1869000 0850 5024-001 6927-001 8697-001 1037+000 1197+000 1350+000 1498000 141+000 1780+0011 1916+000 0900 5189-001 7127_001 8932-001 1064000 1227000 1384+000 1535+000 1682000 1824+000 1 963+000 0950 5388-0111 7359_001 9196-001 1094+000 1260+000 1420+000 1574+000 1724middot000 1870middot000 2012middot000 1000 56~2-001 7633-001 9502-001 1127+000 1297000 1460+000 11 7+000 770+000 1919+000 2 064000
1100 62Q7-001 8354-001 1028middot000 1211+000 1386middot000 1554+000 171 7+000 1876middot000 2030middot000 2181+000 1200 7275-001 9382-001 1136+000 1323+000 1503+000 1677+00( 1845000 008+00Q 2167+000 2 323000 1300 8674-001 1082+000 1284+000 1476+000 1660+000 1838+000 201lhOoO 2178+000 2341middot000 2 501000 1400 10gt3+000 1282+000 1487middot000 1683+000 1871middot000 2052+000 2228+000 239q+000 2566+000 2 730+000 1500 1330+000 1552middot000 1761+000 1959+000 2150+000 2334+000 21113+000 C687middot000 2857+000 3 024+000
Page 117
TA8LE 12 (CONTINUED)
S (JMOLE-Ilt)
~ 00600 00640 00650 00700 00750 OOAOO 00900 01000 01100 01200
110
0000 0001 0002 0003 0004
00110middot000 6613-003 1339002 2008-002 2677-002
0000middot00(1 6858_003 1372_002 2057_002 273-002
0000middot000 6899_00 3 1380002 207(1-0022759002
0000000 7096-003 1419002 21 29-002 2838_002
0000000 7285-003 1457_002 2185_002 2914002
0000000 7467-003 1493_002 2240_002 2987_002
0000000 781 4-003 163_002 234-002 3125-002
0000000 -139-003 162111-002 2442-002 3255-002
0000middot000 8447-003 1689-002 2534-002 3319 002
0000000 140-003 1r48-002 2622-002 3496002
0006 0008 0010 0012 0014
4015-002 1113152-002 66118-002 1103-002 1307-002
411 4-002 5484-002 6854-002 8222-002 95d9-002
41311-002 5517-002 6894-002 8271-002 9640-002
42S7-002 5675-002 7092-00 2 8508-002 9923-002
4370-002 5826-002 728 1-002 8735-002 1019-001
4480002 5972-002 7464-002 8954-002 1middot0-4-001
481-002 6249002 7AlII-002 9371-002 1093-001
4A83-002 6510-002 81 36-002 0761-002 11 39001
5067-002 6756-002 8444-002 1013-001 10182-001
5243-002 990-002 8 737002 1048-001 1223-001
0016 0018 0020 0025 0030
1069-001 1202-001 1335_001 1665-001 194 001
1095-001 1232_001 1368_001 1707_001 2045_001
1102-001 1239-001 1376_001 1118-001 2057_001
1134-001 1275-001 1416_001 1767-001 2117-001
1164 001 1309001 1 454 001 1 8 15_001 2174-001
1193-001 1 342-001 1490_001 1861_001 2230-001
1249 _001 10--0011560_001 1948_001 233S 001
1301-001 1463-001 1625_001 2030-001 2433-001
1350-001 1519-001 1 687_001 2107-001 2526-001
1397-001 1572-001 146 001 2181-001 Z615-001
0035 0040 0045 0050 0060
2321-001 2644-001 29t3-00l 3278-001 3892-001
2380-001 2712-001 3040-001 3365-001 3999-001
2394-001 2728-001 3059-001 3386-001 4025-001
2465-001 2809-001 31 51-001 3489-001 -1gt2-001
2532-001 2887-001 3139001 3588-001 4272-001
2597-001 middot2961-001 3323-001 3682-001 4388-001
2720-001 3103-001 34U-00I 3861-001 405-001
20135-001 3235-001 3middot632-001 402111-001 411109-001
2944001 3360-001 3773-001 4185-001 5000-001
3047-001 3478-001 )907001 4334-001 I5181-00
0070 0080 0090 0100 0120
4484-001 5049-001 5589middot001 6104-001 1059-001
4612 001 5199_001 5761-001 6298_001 7298_001
4643-001 5236-001 5803-001 6345middot001 7357-001
4794-001 5412-001 6006-001 6575-001 7639-001
4937-001 5580-001 6199-001 6193-001 7908-01
5075001 5741-001 6383-001 7001-001 8166-001
5334_001 6042_001 672901)1 7393_001 850-001
5575001 6323-001 7051-001 7757-001 9100-001
5801-001 6585-001 7351-001 8096-001 9520-001
6015-001 834-001 70635-001 8 416-001 9 916-001
0140 0160 0180 0200 02S0
7927001 8718-001 441-001 1011000 1157middot000
8210-001 90_2-001 9805-001 10UmiddotOOO 1206000
8218001 9121-001 989-001 1061000 1218 000
8613-001 9506-001 1033000 1109000 1276000
8933-001 9814-001 1014000 1155000 1332000
9239-001 10023middot000 1114000 1199000 1386000
9tH5-00l 1089000 11 9(01121283000 149(000
1035000 152000 12600001362000 588000
1085middot000 1210000 10327000 1-36000 16110-000
1133000 1 265000 1389+000 1506-000 1 168000
0300 0350 0400 0450 0500
1281000 1388_000 14A2middot000 1566 000 143000
1337_000 1450000 1551+000 1640000 1721_000
13510000 1466000 1567000 1658000 1741000
14111000 1sectAoI-0001650000 178000 1836000
1483000 1615000 17JhOOO 1835000 1929000
1546000 1686000 1809_000 1919 000 2020000
1 68000 IA22000 1960000 2083000 21 95000
1782000 1952-000 104000 239000 2363000
1891+000 2016000 2241000 2389+000 2524000
1995000 2195middot000 z37J000 2S34000 2679middot000
0550 0600 0650 0700 0750
1712- 000 1771-000 1836000 1892-000 1946000
1795000 1864000 1927000 1987000 2043000
1816000 1885000 1949middot000 2010000 2067000
1917000 1991+000 2060-000 21Z5middot000 21 86000
201 5000 2094middot000 2168middot000 2237000 2303000
2111000 2195000 2274middot000 2347middot000 2417000
2297000 23910000 2479000 2561000 2638000
2475000 2579000 iI~76middot000 2767000 2852000
2647000 2761000 2867000 2966000 3059000
2amp13middot000 2937000 3 051000 3 159000 3260000
0800 0850 0900 0950 1000
1917-000 2048000 2019000 2151000 22116000
2098-000 2151000 2205+000 2260000 2317000
2123000 2177+000 2231middot000 2287-000 2344000
2245-000 2303-000 2361-0110 2419000 2480000
2366000 2 427000 2488+000 2550000 2614000
2483-000 2548000 2613000 2678-000 2745-000
27tl-00O 278bmiddot00o 2A56+000 2927000 3000-000
934000 3013000 3091000 ~16C100o 3247000
3149000 3235+000 3319000 3403middot000 3488middot000
3357 000 345 0000 3541000 3 631000 3 122000
1100 1200 1300 1400 1500
2328000 2475000 2658+000 2890000 3186000
2444000 2594000 2780000 3015_000 3315000
2472000 2624middot000 2811-000 3047_000 3346000
2614000 2770middot000 2961000 3201000 3503_000
2752000 291 4 000 3109000 3352000 3658+000
2889000 3055-000 3255_000 35010000 3810000
31 55 000 3331000 31J39_000 3792_000 4107000
3413000 3599000 3815-000 -07tmiddotOOO 4396+000
366000 3860middot000 40114000 4352000 4678000
3 909000 4114middot000 4347000 4622-000 4953-000
Page 118
TABU 12 (CONTINUED)
S CJMOLE-K)
01300 01400 01500 01600 01800 02000 02250 0241100 02750 03000~ 11lt1
0000 01100-000 0000-000 0000-000 0000-000 0000-000 0000-000 0000-000 0middot000-000 0000-000 0000-000 0001 9020-003 9288_003 9547-003 9797-003 1027-002 1072-002 1126-002 1177-002 1225-002 1212-002 0002 1804-002 18S8_002 1909-002 1959-002 2055_002 2145_002 225Z_002 235~-002 2450_002 2544-002 0003 2706-002 2786_002 2864_002 2939-002 3082-002 3217-002 3378_002 3530-002 3676-002 3816-002 0004 3608_002 3715_002 3819_002 3919_002 4109_002 4290_002 4t03_002 4707-002 4901_002 50811-002
0006 5411-002 572-002 5728-002 5878-01)2 6164-002 6434-002 6755-002 7060-002 7351-002 7 632-002 0008 7214-002 7429-002 7636-002 7836-002 8lin8-002 8579-002 9006-002 412-002 9801-002 1 018-001 0010 901 7-002 92lt6-002 9545-002 9795-002 1027-001 1072-001 1126-001 11 76-001 1225-001 1272-001 0middot012 1middot082-0n1 1middot114-001 1145-001 11 75-001 1232-001 1287-001 1351-001 1412-001 147 0-001 lmiddot526-001 0014 1262-001 1300-001 1336-001 1371-001 1 438-001 1501-001 1576-001 1647-001 1715-001 1 78O-OOt
0016 1442-001 1485-001 1527-001 1567-001 1643-001 1715-001 11101-001 882-001 1960-001 2035-001 0018 162-001 1670-001 111 1-001 1762-001 18U-00I 1929-001 2026_001 2117-001 2205-001 2 289-001 0020 1802-001 1856_001 1908-001 1958-001 2053-001 2143_001 2 2~1)-001 2352-001 2 449_001 2 543-001 0025 2251-001 23I8-001 2383-001 2446-001 2565-001 2678-001 21112-001 2939-001 3061-001 3178-001 0030 2699_001 27~0-001 2858_001 2933-001 3017_001 3213_001 3373 _001 3526-001 3672-001 312-001
0035 3146-001 3241-001 3332-001 34Z0-001 3587-001 3746-001 3934-001 4112001 4282-001 4 446-001 01140 3591 - 001 3700-001 3804-001 3905-001 4091-001 4278-001 4493-001 4697-001 4892-001 5 079- 0n 0045 4035-0111 4157-001 4275-001 4389-001 4605-001 4809-001 5051-0nl 528-001 5501-001 5712-001 0050 4477-001 4613-001 4744-001 4871-001 5112-0111 5339-001 5609-001 5A64-001 6108-001 6 343-001 0middot060 h 33-01l 1 551 8001 5677-0111 58Z9-001 6120-001 6394-001 671 9-001 7026-001 7320-001 7 tl 03-001
0070 6218-001 6413-001 6599_001 6779-001 7120001 7442-001 7822_0111 8182-001 8526-001 8857-001 0080 709-001 7294_001 7509-001 7717-001 8110-001 8481-001 891 8OII 9331-001 9726-001 1 010000 0090 7903-001 8160-00 8405_001 8641-001 9088-001 9508_001 1000000 1047- 000 1092000 1135-000 0100 8719_001 9008_001 9284-001 9549-001 1005000 1052000 1108_000 1160middot000 1210-000 125hOOO 0120 1029000 1065000 1099000 1131+000 1193_000 125000 131 8000 i382middot000 1 443_000 1 501+000
01 40 1177+000 1220middot000 1261-000 1300middot000 1373+000 1442000 1523000 l59A-000 1670-000 1 139000 0160 1317middot000 1367middot000 1414middot000 1460middot000 1546-000 1626middot000 1720-000 1808middot000 1891+000 1971-000 0180 1449+000 1505-000 1560000 1612-000 1710000 1802-000 1909000 2010-000 2105middot000 2196middot000 0200 1572middot000 1636middot000 1697-000 1755-000 186hOOO 1969+000 209000(1 2204middot000 2311-000 2414-000 0250 1852middot000 1932-000 2009000 2083middot000 22Z4000 2356middot000 Zt1 hooo 265middot000 2794-000 2 926-000
0300 2095-000 2190middot000 2283000 2372middot000 2541-000 2700-000 2888000 306-000 3232+000 3392-000 0350 2309-000 2419_000 2 1 525000 2 162811110 2823000 300e-ooo 3221_0110 3433-000 3630-000 3U+000 0400 2500middot000 26Z3_000 2742+000 2857+000 3 1 017000 3286000 3534 _000 ~769-000 3992000 4206middot000 0450 2673000 2808_000 2938000 3065_000 3308_000 l539_000 381 4000 4075+000 4324+000 4 563000 0500 2830000 2976_000 311 7_000 3254+000 3519_000 377hOOO 4071 0110 4356-000 4630_000 1193000
0550 2974+000 3130-000 3281middot000 34Z9middot000 37I3-000 3984+000 4308_000 4jI17-000 4913middot000 5198-000 0600 3101middot000 3middot272+000 3433000 3590+000 3892+000 4182-000 4528000 459-000 5176middot000 15483+000 0650 3231middot000 3405+000 3574middot000 3740000 4060000 4366middot000 4733000 50 084middot000 5422-000 5 749-000 0700 3346+000 3529000 3707-000 3880middot000 4216000 4539middot000 4925000 5296000 5653-000 5999000 0750 3456+000 3middot646-000 3832-000 4013middot000 4364+000 4702-00n 5107000 549j1-000 5871-000 6235-000
0800 360middot000 3757_000 3950middot000 41 39-010 4504000 4856-000 5279+000 586-000 6078middot000 6459000 0850 360-000 3864-000 4064-000 4260+000 4639middot000 5004-000 5444middot000 51116-000 6276-000 _6 612-000 0900 3757000 3968000 4175+000 4377+000 4169000 5147_000 502_000 6041+000 6 465-000 6 877000 0950 3854000 4011000 4283-000 4491-000 4896000 5286+000 5756000 6210+000 6649_000 7 075000 1000 3950-000 173000 4391_000 4605-000 5021_000 5423000 5901000 375000 6828000 7 268_000
1100 414hooo 382middot000 4611-000 4836middot000 5272middot000 5695-000 620S+000 6699-000 7177+000 7 643000 1200 43~2middot000 4606-000 4844-000 5078-000 5534-000 5975000 6508000 702middot000 7526-000 8 01 4-000 1300 4604-000 4855+000 5102-000 5344-000 5816+000 6273middot000 61127middot000 7363-000 7884middot000 13392-000 l400 4886-000 5144-000 5398middot000 5647middot000 6133-000 6604-000 7174+000 772emiddot000 8266middot000 13191-000 1500 5223middot000 548hOOO 5746middot000 6001middot000 6498-000 6980-000 7565-000 81 32000 8684middot000 9223000
Page 119
TABLE 13
THE ENTHALPY AND EXCESS ENTHALPy OF THE TOTAL HE3 - HE4 SOLUTyON
X bull 00001 X bull 00002 X bull 00005 It bull 00010 X bull 00020
T -H HE -H HE -H HE -H Hp -H HE IKI (JMOLE) IJMOLEI IJMOLEI (JMOL1 IJMOLEI IJMOIEI IJMOLpoundI fJMOIEI IJMOLEI IJMOLEI
0000 0001 0002 0003
3905631 3905631 3905631 3905630
-000021 -000021 _000021 -000021
3905261 3905261 3905261 3905261
-000042 -000042 -000042 -000042
3904151 3904151 3904150 3904150
-000104 -000104 _000103 -000103
3902297 39112297 3902296 3902296
000203 -000203 _000 202 _000 202
3898580 3898580 3898579 38 98579
_000392 _000392 000391 _000391
0004 3903610 _000021 3905260 -000042 3904150 _000103 3902296 _0 00202 38 985711 _000390
0006 3905630 -000021 3905260 -0110041 3904149 -000102 3902294 -000200 3898576 _000388 0008 0010 0012 0014
3905630 3905630 3905629 3905629
-000020 -000020 -000020 -000020
3905260 3905259 39 05259 3905258
-00004i -000040 -000040 -000039
3904148 3904147 3904146 3904145
-000101 -000100 -000099 -000098
3911229 39(12291 3902289 39CI2287
-00199 _000197 -000195 _000193
3898574 ~89851l 38 bull98567 3898561+
_000386 _000383 _000l80 000376
0016 3905629 -000019 3905258 -000039 3904143 -000097 3902284 -000191 3898560 _000313 0018 0020
3905629 3905628
-000019 -000019
3905257 3905257
middot000038 -00003$
3904142 3904141
-000095 000094
3902282 3902280
000189 -000186
3898556 3898552
_000369 _000365
0025 3905628 -000018 3905255 -000037 3904138 -000091 3902274 000181 3898541 000355 0030 3905627 -000018 3905254 -0110036 3904135 middot000089 390228 _000115 3898530 _000344
0035 3905627 -000017 3905253 middot000034 3904132 -000086 39022(12 middot000170 38 9851 9 _000333 0040 3905626 middot000011 3905252 -000033 3904129 -000083 3902216 000164 3898507 000323 0045 3905625 middot000016 3905250 -000032 39 04126 middot000080 3902210 -000159 3898495 0middot00312 0050 3905625 -000016 3905249 -000031 3904123 -000077 3902244 000153 3898483 000301 0060 3905623 -000014 3905247 -000029 39 04117 middot000072 3902232 -000142 3898459 _0middot00280
0070 3905622 -000013 3905244 -000027 3904110 -000066 3902220 -000131 3898435 000258 0080 0090
3905621 3905620
-000012 000011
3905242 3905239
-000024 -000022
39 04104 3904098
-000061 _000055
39112207 3902195
_000120 000110
38 98411 38 98387
000237
0002 16 0100 39056 18 -000010 3905237 -0110020 3904092 middot000050 39021A3 -000099 3898362 000195 0120 3905616 -000008 3905231 -000016 3904079 -000039 39112118 000078 3898313 000153
011+0 3905613 -00006 3905226 -000012 3904066 middot000029 3902132 000058 3898263 000113 0160 3905610 middot000n04 39115221 -000001l 3904053 -000019 3902107 000038 1898213 000073 0110 0200 0250
3905606 3905603 3905592
-000002 000000 000005
39 05215 39(15209 3905191
middot000004 000000 000010
3904040 39 04026 39 03990
middot000009 000001 000025
3fh020lH 3902055 3901 988
000018 000002 000050
3898163 38 bull98112 3897983
000034 0middot00005 000101
0300 3905577 000010 3905110 000019 3903951 000049 3901 9 19 000097 38 97850 000196 0350 3905557 00001 4 39115144 000029 3903906 000072 3901841 000 145 3191712 000291 0400 3905529 000019 3905110 000031 3903853 000096 3901157 000191 3897566 000384 0450 0500
3905491 3905441
000024 000028
3905066 3905009
000047 000057
3903790 3903115
000119 000142
3bullbull01664 3bullbull 015i1
000238 000284
3897410 3897242
000416 000568
0550 3905375 000033 39 04938 000066 3903625 0001 64 3901 436 000329 3891058 000659 0600 0650 07BO 01 0
3905291 3905181 3905927 3904 99
000037 000042 000046 000051
3904848 3904731 39 04571 39 04336
000075 000084 000093 000101
3903516 39 03381 39 03202 3902949
000187 000209 000232 000254
390126 3901130 39 09203900636
000374 000419 000463 000507
3896856 3896628 38 bull96356 38 bull96009
000749 000839 000927 0middot01015
0800 3904446 000055 3903978 000110 3902511 000275 3900227 000551 3195539 001102 0850 0900 0950 1000
3903900 3903065 3901826 3900046
000059 000064 000068 000072
3903425 3902584 3901339 3899553
000119 000127 000136 000144
3902000 3901141 3899871 3898073
000297 000318 000339 000360
3899625 3898735 3197441 3895601
000594 000636 000611 000720
3894815 3893923 3192569 3890613
001188 001273 001357 001 440
1100 31942)5 000080 3893710 000160 3892195 000401 31189669 000801 3884611 001603 1200 1300
3184068 3867610
000088 000096
3883551 3867012
000116 000191
3882002 31 65500
000440 000478
39 79418 3162863
0Dn880 000955
3874252 38 57588
001160 001 911
1400 1500
3842097 3804138
000103 000110
38 bull 41559 3803592
000206 000219
3839947 3801954
000514 000548
3837260 37 99224
001 028 001 096
38 31887 3793163
002055 002193
Page 120
TABLE 13 (CONTINUEO
l( bull 00030 X bull 10040 X bull 00050 X bull 0060 )( 00080
T bull lot HE -H HE -H HE -H HF -H HE (K (JMOL) (JMOEI IJMOLE) (JMOLE) (JMOLEI (JMOLE) (lMOE IJMOLE) IJMOLEI tJMOLE)
0000 0001 0002 0003 0004
38948l2 3894852 38948l2 3894851 3894850
-000570 -000570 -000570 _000569 000568
3891116 3891116 3891116 3891115 389 111 4
-0bull 00740 -000740 -000740 -000739 -0007311
38117372 3887372 3887372 3887371 3887370
-000902 -000902 -000902 -000901 -000900
3883622 3883621 31=1 83621 38 83620 3A83619
_001058 -001058 00)05700056 _001055
876101 3876101 3876101 38 76101 38 76099
_001349 _001349 _001349 001 348 _001 347
0006 3894848 -000566 3891112 -000736 3887367 -000898 3883616 -001053 3876096 _001J44 0008 0middot010 0012 0014
3894845 3894841 3894837 38 94832
-000563 -000560 -000556 -000551
3891108 38 91104 3891099 38H093
-000732 -000728 -000724 -010718
3887364 3887359 3887353 3887347
-000A94 -000890 -000884 -000878
31113612 3883607 3A83601 31i83594
-001 049 -001044 -001038 _001032
3876091 3876085 3876079 3876071
001340 -0middot01334 _deg01 328 _001321
0016 3894827 middot000546 3891087 -000712 3887340 -000872 38835A7 001024 3876062 001 312 0018 0020
3894822 3894816
-000541 -000536
3891081 3891074
-010706 -010700
3887332 3887324
-000864 -000857
3A83578 3A83569
-001016 -001008
3876052 38 76041
_001303 0 middot01293
0025 0030
3894801 3894785
-000521 -000507
38 bull91055 38bull91035
-0006112 -000663
38bull 87302 3887279
-000836 middot000814
38 83544 3Abull 1I3517
-000985 -000959
38 76011 3875978
-0middot01265 _0middot01234
0035 3894769 -000491 389101 4 -000644 3887253 -000791 38834118 -000932 3875942 001201 0040 0045 0050 0060
38947~2 3894735 38947 18 3894683
000476
000460 _000444 000413
3890992 38 bull90970 3890948 3890902
-000624 000603 middot000583 000542
3887227 38 87200 3887173 38 8711 6
-000767 _000742 000717 _000666
3883457 3883426 3883394 3883327
000904
000876 _000847 _00(1787
3875904 ~875864 38 75823 38 75737
001166
001130 _001093 _001018
0070 3894647 -000381 3890855 -000500 3887059 -000616 38 tl 3259 -000 727 38 75649 _000940 0080 0090 0100 0120
3894611 3894575 3894538 3894465
-000350 -000318 -000287 -000226
3890807 3890760 38 bull90711 38 bull90614
-000459 middot000418 middot000377 000296
3887000 3886941 38 86881 3886761
-000565 000514 middot0middot00463 -000363
38 tl3190 3883120 38 83049 38 tl2905
-000667 -000607 -000546 -000427
3875559 38 75467 3875374 38 75186
_000862 000783 000705 000548
0140 3894391 middot000166 3890516 middota00216 3886639 middot000263 3882760 -000309 3874995 000392 0160 0180 0200 0250
3894317 3894242 3894167 3893976
middot000106 _000047
000011 000155
3890418 389031 9 389021 9 38 89968
000137 -000059
000019 000210
3886517 3886394 3886270 3885958
middot000165 -000068
000028 000266
3882614 3tl 82467 38 82319 3881946
-000192 000076
000039 000324
3874802 3874607 3874412 38 73918
_000238 000085
000067 000444
0300 3893782 000297 3889712 000399 3885640 000502 3881567 000606 3873418 000819 0350 0400 0450 0500
3893581 31193313 3893156 3892925
000438 000577 000116 000854
3889450 38 bull89180 38 bull88900 3888608
000586 000172 000957 001140
3885317 38bull84985 38 84644 3884289
000736 000968 001198 001427
38~113 3F1 bull807A9 3Abull tl 03A6 3A79970
000886 001165 001 44 1 001 715
38 72911 38 72395 38 bull 71869 38 71330
001191 001561 001928 002Z9J
0550 389Z679 000990 3888300 001321 3883920 001654 3879539 001 9S7 38 70775 002654 0600 0650
3892415 3892125
001125 001259
3887974 38876Z1
0015(11 001680
3883532 3883117
001878 002101
3879089 3A78613
002256 0025Z3
3870202 3869602
003013 003369
0700 0750
3891791 3891382
001392 001523
3887225 3886755
001857 002032
3882659 3882127
002322 002542
3878093 311117499
002789 003051
3868958 38 68241
003722 004072
0800 3890850 001654 3886161 002206 3881471 002758 3876781 003311 3867400 004418 0850 3890114 001783 3885373 002378 38 80622 002973 3875870 003569 38 66366 004761 0900 3889111 001910 38 tl4299 00254A 3879487 003186 3874674 003824 3865047 0middot05101 0950 1000
3887696 3885740
002036 002161
38 bull82822 38 bull80806
00276 002882
3877949 3875872
003395 003603
3873075 3870938
004075 004324
3863326 3861069
005436 005767
1100 3879565 002404 3814512 003206 38 69460 004008 3864407 004810 38 54301 006415 1200 1300
386901115 3852313
002640 002867
386391 8 3847038
003520 003822
3858751 3841763
004401 004718
3853584 3836488
005281 005734
3843Z511 38 25938
007043 007646
1400 3826513 003083 3821139 004111 3815765 005140 31110391 006168 3799642 008Z24 1500 37883n3 003289 3782842 004386 3777381 005483 3771 921 006579 3161000 008772
Page lZ1
TABL~ 13 (CONTINUED)
X bull 00100 I( bull 00150 )( bull 00200 )( bull 0n20 l( bull 00300
T -M HE -H HE -M HE -101 HE -H HE 11(1 IJMOLI) (JMOLEI IJMOLll IJMOLEI IJMOLE) IJMOLEI IJMOLrO IJMOLEI IJMOLEI IJMOLEI
0000 386A5118 -001f18 3849616 -00~2011 3830572 middot002692 31111442 00092 3792236 003416 0001 386851118 001618 3849616 -002206 3830572 -002692 3811441 middot001091 H 92236 003416 0002 0003
3868558 386ASo7
_001611t 001617
38 bull 4961b 38 49615
-00220 -002205
38 30571 3830570
-002691 -002690
3A11441 3811 4 3C1
_00)091 00309 0
]79223J 379i234
003416 _003414
0004 38685136 -001616 849613 middot002204 383069 -002689 3811 438 003088 3792232 0034 13
0006 386852 -001613 middot1849609 -002200 JIt3056 -002685 3811433 -00]084 H 92227 003408 0008 0010
3868547 3868541
middotOOlMIt -001602
]849604 3849596
-002195 -0021111
3830558 3830550
-002679 -002672
38114iJ6 38 11 417
-003078 middot003070
37 bull 92220 3792211
003402
0middot03394 0012 0014
3868534 3868525
001595 -0015ti7
3849588 38 bull 49577
middot002180 -1102171
38 30540 38 30529
middot0middot02664 -002653
3Amiddot11 407 38 113C14
-003061 -003 050
37921 9 3792186
003385 _003373
0016 3868515 middot001578 3849566 -0Cl2160 3830516 middot002642 3A1130 _003038 3792171 _003360 0018 0020 0025
3868504 38611492 3868458
-001568 _001557 001526
3849553 31t49538 384949b
-0U2149 0 02135 -0112098
3830501 3830484 3830437
-002629 _00261 4 002572
3811364 3811346 3111294
003024
003008 _002962
3792153 3792134 3792078
003345 _003329 003280
0030 3868420 0111490 3849448 002054 3830380 002522 311111231 _002908 3792111 0 003222
0035 38611371 -001452 3849393 middot002005 3830316 middot0024b5 3811159 _002845 37 91931 003154 0040 0045
3868332 386112A5
-001411 -001368
38 49334 3849270
-001952 -001895
38302116 3830169
-002403 -002336
3111111179 3~10992
-002175 -00700
3791843 3791746
_00]079 _002996
0050 3868236 -001324 3849203 middot001836 3830088 -002264 3810898 -0026 19 3791642 -002907 0060 3868133 middot001233 849062 -001 712 38 29912 -002113 3AI0694 -002444 3791 4 12 -002713
0070 386806 -001139 3848912 -001582 3829725 -001952 3810472 middot00256 3791161 002501 0080 38679 16 -001044 3848755 -001448 3829527 -001784 3810238 002059 3790892 002278 0090 0100 0120
3867803 3867689 3867457
middot000948 -000852 00065
3848595 3848430 3848093
-001312 -001174 000897
3829322 3829111 3828676
-001612 -001437 -0010
3A0999 31109738 311119211
-0Oi854 middot0Oj645 001 217
379060 3790315 3789701
002044
001804
001308
0140 3867220 -000467 3847748 -000618 3828228 -000721 3A08664 000780 ]71190611 000799 0160 3866981 middot000117 3847398 -000340 3827170 middot000359 311 08103 -000339 3788401 000283 0180 3866740 -000087 3847043 -00001 3827306 000004 3A07533 000104 37 87127 000238 0200 0250
3866498 38658115
000102 000570
3846685 38 45779
000216 000908
3826836 38256113
000367 001275
38116904 3805481
00550 001 669
37 117042 37bull 85295
000163 002086
0300 38652l4 001036 3844860 001598 3824431 002185 303981 002794 3783512 003421 0350 0400 0450
3864636 3863998 3863349
001499 001960 0Ol418
3843931 3842990 3842037
002287 002974 003656
3823205 3821965 3820710
003096 004004 004909
31102462 3A0095 37 99371
003922 000049 0011173
37111103 37 79873 3778023
004763 006106 007447
0500 38626117 002873 3841069 004335 3819439 005809 37 ~n800 007292 3776153 008783
0550 31162009 003324 3840085 005008 3818151 006703 37 96209 008405 37 74262 0010113 0600 0(51) 0700 0750
3861312 38605119 3859823 3858982
003772 004217 004657 005094
3839082 3838052 3836977 3835829
0115678 006342 007000 007654
3816843 38 15507 38 14127 38 12672
00759 1 008474 00 9349 010218
3794597 37 929S7 3791272 37 895J3
009511 0106 10 011 701 012784
3772348 3770406 37 6841 7 376635
011435 012749 014054 015349
01300 3858Gl8 005527 3834558 008301 3811095 011078 3187631 013857 37 64169 016634 0850 0900 0950
3856861 3855419 3853577
005955 006379 006798
3833095 38 31348 3829203
008942 009576 010203
3809327 3807276 3804828
011931 012714 013609
3755C9 37 83204 378 0455
014920 015972 017012
3761 793 37 59136 3756085
017906 019166 020412
1000 3851199 007211 3826524 010822 3801849 014432 3777176 01111040 3752509 021643
10 100 3844194 008021 38 189Z8 012034 3793664 016046 37 68404 020053 3743150 024055 1200 10300
38329 15 38153A8
008804 009559
38070eo 37bull8901
0132011 014337
3781247 37 62644
017608 0019112
3155420 37362110
022003 02388 0
3729600 3709925
026390 028639
1400 1500
3788895 3750079
0010280 010965
37 egt2027 37 22780
0154111 016444
3735165 3695487
020550 0219 17
3708310 36 68202
025675 027381
3681 464 3640927
030 79 1 032836
Page 122
TABlF 13 (CONTINUED)
X bull 00350 X bull 00400 X bull 00450 )( bull 0middotn500 )( bull 0middot05S0
T -H HE middotH HE middotH HE H HE middotH HE (K ~JMOLI) JMOLEI (JMOLE) ~JMOLE) IJMOLEI (JMOLEI (JMOUI IJMOLE (JIoIOLf) I JMOlEI
0000 3772966 -003676 3753637 middot003877 37 3U57 middot004027 37 h8JO 004130 J695360 004190 0001 0002
3772966 3772965
003676
003675 37gt3637 3753636
middot003877 0deg3876
3734257 3734256
004027 -004026
3714829 37 14828
004129 004129
1695360 36 bull95359
004190
004189 0003 0004
377293 3772962
_003674 003672
37 53635 3753633
-003875 -003874
3734254 3734252
-004025 -004023
3714827 37 1482)
-004127 004U6
36 95357 ]69535S
004188
004186
0006 3772956 -003668 37gt3627 middot003869 3734246 -004018 3714818 004121 3695348 _004181 0008 0010 0012 0014
3772948 3772939 3772927 3772913
-003661 -003653 middot003643 003631
375361 9 3753609 3753596 3753581
-003862 -003854 -003843 middot003831
3734238 3734227 3734214 37 34198
-004011 -004002 -003992 -003979
37148O 3714798 3714785 3714768
_004114 -004104 004093 004080
3695339 3695328 3695313 ]695297
_004174 _0middot04164 _004153 0middot04140
0016 3772896 -003617 3753564 n03811 3734180 -003964 37h700 -004065 3695277 _004125 0018 0020
3772878 3772857
-003602 -003584
3753545 3753523
003801 -003783
3734160 3734137
-003948 -003929
37147f 9 37 14705
-004048 -004029
369525S 3695231
004107
004088 0025 0030
3772797 3772725
003533
003472 37gt3460 3753383
003730 -003666
3734071 3733990
-003875 -003808
3714636 3714552
_003973 -0OJ905
369515 3695072
004030 _003960
0035 3772641 -003401 3753294 -003591 3733897 -003731 3714404 _003826 3694cJ70 003879 0040 3772546 -003321 3753193 -003507 3733790 -003643 3714342 -003735 3694853 _003785 0045 0050
3772441 3772326
-003232 -003136
3753080 37 gt2958
-003413 middot003311
3733671 3733541
-003546 -003439
3714217 37h080
-00]633003522
3694722 3694579
_0middot03680 _00356sect
0060 3772075 -002925 3752686 -003086 3733250 middot003200 3713772 -003272 3694256 _003306
0070 3771796 -002693 3752383 -002836 3732924 002935 3713426 002993 3693890 003014 0080 0090 0100 0120
3771496 3771179 3770847 3770150
-002446 -002186 -001917 _001359
n52054 3751704 3751338 3750563
-002568 -002284 -001 98q -001372
3732569 3732190 3731790 3730941
-002647 -002342 002023 001352
3713046 3712638 3712207 37112e8
-002688 _002363 -002021 -00300
3693487 369305J 3692593 3691607
_002693 _002350 _001 988 _001219
0140 37 69420 -000783 3749747 -0U0732 3730043 -000651 3710311 _000543 l69055J _000408 0160 3768665 -000195 3748900 -000076 3729107 000069 37U9290 000240 1689449 000434 01 80 0200 0250
3767892 37 67104 3765089
000401 001002 002524
3748030 3747142 3744863
000 59 1 001266 0029A l
3728143 3727157 3724621
000805 001552 003454
37U823sect 3707103 3704365
001041 001 857 003942
36M306 3687131 3684095
001298 002181 0middot04444
0300 3763027 004065 3742527 004723 3722015 005394 37014q2 006075 3680959 006766 0350 3760932 005617 3740150 006482 3719359 007356 3gt8560 00823M 3677755 009125 0400 0450 0500
3758811 3756667 3754500
007173 008729 010279
3737741 )735305 3732844
008249 010016 011779
3716665 3713940 3711186
009330 011307 013281
31955~4 312572 3~89528
010416 012600 014783
3674500 367120] 3667871
011506 013895 016284
0550 3752311 011824 3730358 013537 3708405 015250 386454 016962 3664505 018671 0600 0650 0700 0750
37 50097 3747853 3745563 3743197
013361 014888 016406 017913
3727846 3725303 3722711 3720044
015286 017027 018756 020474
370sect596 3702754 3699864 3696896
017211 01 9 162 021102 023029
318330 36t0210 31701 36 73704
019132 02 293 023442 025577
36 61107 3657b7c 3654185 3650620
021050 023419 025776 028119
0800 3740709 019408 37172sect4 0 22177 3693805 024941 370364 027697 3646931 030444 0850 3738031 020889 3714274 0 23866 3690525 026837 3666784 029798 3643052 032751 0900 3735072 022356 3711015 025539 3686966 028714 3662926 031 88 0 36 38t96 035036 0950 1000
3731722 3727847
023807 025240
3707366 3703194
0 27194 028828
3683018 3678550
030572 032408
3658680 36 53917
033940 035976
36343sect 3629296
037298 039533
1100 3717903 028048 3692666 0l2033 3667440 036006 3142225 03q96A 3617024 043917 1200 1300
3703789 36fI3S80
030769 033389
3677988 3657246
035137 03812A
3652199 3630925
039494 042853
3126423 360461A
043837 047565
3600662 3578326
0middot48166 052261
1400 10500
3654629 361364
035897 038279
3627806 35 1f6414
0 40989 04370q
3600997 35 59179
046068 049124
35 74204 3531 960
051132 054523
3547426 3504757
056181 059906
Page 123
TA8LE 13 (CONTINUEDI
l( bull 00600 )( bull 00640 )( bull 00650 )( bull 0117(10 )( bull 00750
T (Kl
middotH (JMOL1
tolE (JMOLEI
middot101 (JHOLEI
HE (JMOLEI
middot101 (JMOLEI
HE (JHOLEI
11 (JHOLF1
HI (JMOLEI
104 (JMOLE)
1111 tJMOLEI
0000 0001 0002 0003 0004
]675852 3675852 3675851 3675849 3675847
004212
004212
004211
004i110
004208
]660221 ]660220 36b021 9 3660218 36b0215
middot004205 middot004204 -0042n4 middot004202 -004201
]656310 36 56309 36 56308 3656306 3b 56304
004200 -004199 004199 004197 _004195
36 3671i 36 3675 3636734 3636732 36 36730
004155
004155
004154
004153
004151
HlI7133 ]61713Z 3617131 ]61712 617127
004083
004082
004082 _004080 004078
0006 0008 0010 0012 0014
3675840 3675831 3675819 36758 04 3675787
-004203 -004196 -0041 8 6 -004175 -004161
36deg0208 3660199 1660186 600171 3660154
middot004195 middot004188 middot004178 -0114167 -004153
3656297 365628S 3656275 3656260 36 56242
-004190 -004183 -004173 -004162 -004148
3636723 36$67 13 3636700 3636684 3136666
004146
00138 -004129 -004117 -004103
36 17120 3617109 3617096 3617080 3617061
004073 _004065 _004056 _004044 _0middot04029
0016 0018 0020 0025 0030
3675717 3675744 3675719 3675644 36 75554
-004145 004128 -00410B -004049 003978
3660133 3660110 3660084 ]660008 ]659911
-004137 middot004119 middot004099 -0114040 003967
3656222 3656198 3656172 3656095 3656002
middot004132 00411 4 -004094 middot004034 -0D3901
3636645 3136621 3636594 36 36515 31364 19
-004087 004068 004048 00]987 _00]914
3617040 3617015 36 16i88 36169 06 3616807
004013
003995
003974 _003912 _003837
0035 0040 0045 0050 0060
]675448 ]675327 36751 9 1 ]675042]6747 04
-003894 -003798 -003691 -003572 -003304
3659806 ]6I9682 3659542 3659388 3659 039
-003882 -003784 middot003675 -003554 -003280
3655892 3655767 3655627 3655471 3655120
middot003876 -003778 -003668 -003546 -003270
3636306 3t-36177 3636~]1 3635871 31)55(17
_003826 -003727 00]614 middot00]490 -003207
3616691 36165511 3616409 3616243 3615867
_00]749 _003647 -0middot035]] _0middot03406 -00]U7
0070 0080 0090 0100 0120
]6743i0 3673896 36734~7 ]6 7 2948 36 7 1899
-003000 -002666 002306 001925 -001113
3658641 3658201 1657723 3657214 165611 5
-002967 ~01I2623 -0112251 -001855 -001009
3654719 3654274 3653792 3653217 36 5UM
-002956 -002609 -002234 0011135 _00098 1
3635090 3634626 31341~1 36$35S1 332412
-002884 002525 _002136 -0017c1 _0On 828
3615434 3614953 3614427 3613863 3612637
002785 _0024 16 002014 _001583 000654
0140 0160 01 80 0200 0250
3670772 36695138 36613358 3667093 3663814
-000250 000648 001574 002520 004956
3654932 3653685 3652388 3651051 3647581
middot0001011 0(10834 (101 81)6 002803 005314
36 50970 3649707 3648394 3647040 3643522
-000070 000882 001 866 002875 005479
3631147 36 Z98 10 36 l84 1i 326974 36u~3222
0On129 001133 002173 003242 006011
611307 3609896 360842Z 36 06896 36029 15
000346 001399 002494 00]6210middot06549
0300 0350 0400 0450 0500
36604 19 3656946 36534 14 3649835 3646215
007464 010018 012597 0151 89 011784
3643983 36middot0296 3636544 36 32741 ]628893
008027 010734 013471 016223 018981
3639873 363613] 3632327 3628467 3624563
008169 010 913 013689 016482 019280
3119322 315319 3111240 3117103 3602916
0011878 011 8 11 014781 017172 020171
3598766 3594503 3590155 3585741 3581273
009592 012 109 011172 019059 022258
0550 0600 0650 0700 0750
3642560 3638869 3635139 3631357 3627495
020376 022962 025539 028 102 030651
3625007 36 21083 361711 9 3613101 36 09 002
021737 024488 027229 029957 0 32670
36 206 19 3616638 3612615 3608538 36 04379
022017 024868 027650 030420 033173
31)986115 35 9441 3090099 3085728 3SIJ1275
02171 026767 029753 032727 035685
35767511 3572198 3567593 356292i 3558 182
0middot25459 02Sb57 031 15 47 0middot]5024 038 185
0800 0850 0900 0950 1000
3623508 3619331 361878 36100]9 3604617
033182 035692 038180 0 40643 043071
3604177 3600363 35i5672 3590597 3585010
035364 038037 0 40687 0 43309 0 45903
3600096 3595622 3590872 3585738 3580092
035908 038622 041312 043975 046607
35 76695 3071 925 35b68S0 3obI451 3555512
038624 04 1540 044430 047293 050123
3553307 3548242 1542901 3537179 3530948
041326 04444 047535 050595 053622
10100 1200 1300 1400 1500
35 9 1837 35149 15 355201 3520665 3477572
047851 052480 056941 061212 065271
357698 3554330 3531042 3499269 3455838
050988 0 55920 0 60673 0 65223 0 69549
3566664 3549185 3525792 3493922 3450406
051771 056778 061604 066225 070617
35 4 15 08 35 23472 3499502 3407198 3bullbull c32C9
055674 061059 066249 0 7 1219 075943
3516369 3497716 3473330 3440494 3396133
0middot59561 065322 070875 0 761 93 08149
Page 124
TABLE )3 (CONTINUED
l( bull 00800 X bull 00900 X bull 01000 X 0100 X bull 01200
T -H HE -H HE -101 F -p ME _101 ME (1lt) (JMOLFI JMOlE) (JMOlE (jMOLE IJMOLE IJMOLEI (JMOL (JMOLE IJMOLE IJMOLEI
0000 35 975(14 middot003984 3558178 middot00371R 3518774 middot003374 3479308 002968 3439792 _00~512
0001 0002 0003 000 4
359750 4 35 975 02 35 975nl 35 97498
middot003984 003983 003981 _003980
3558177 3558176 3558174 3558171
middot003717 -0037 17 -003715 -0U3713
3518773 35 18772 3518770 3518767
middot003374 003373 003371 003369
3479307 3479306 3479304 34 79301
002967
002967
002965
002963
34 39792 )43979( ~43978l1 34 39785
002512
002511 _002~10 002508
0006 3597490 middot003974 355EH64 -00370R 3518759 -003364 34 79292 -002957 34 39777 0middot02502 0008 0010 0012 0014
3097480 35 97467 3597450 35 974~1
-003966 -003957 -003944 -003930
3558153 3558139 3558121 35 58101
-003700 -003690 -0113677 -0113663
3518748 3518733 3518715 3518694
-003356 middot003346 -003333 -003318
3479281 3479215 3479247 3479225
middotU02949 -002939 -002926 -0029 11
l43976 )439749 34 39729 3439707
002494 _00lt483 -0middot0~411 002456
0016 35 97409 -003914 3558078 -003646 3518670 -003301 34 79260 002894 34 39681 _deg02438 0018 0020 0025 0030
359 73R3 3597305 35 97272 359 7170
-003895 _003874 _003812 -003736
3558051 3558022 3557934 l557828
-0113627 -003605 -003542 middot003464
3518642 3518611 35 18520 35 18410
-003282 -003260 003195 003116
3479171 3479139 34(9045 3418929
-00(1874 -002852 002787 -002707
3439651 34 396 18 3439520 34 39401
_002418 _0023Y6 _002330 002249
0middot035 3597051 middot003646 3557703 -003372 3518279 -003023 34 78794 -0026 12 34 39260 _002152 0040 35969 14 -003543 3557559 -003267 3518129 -002915 34 786 38 -002502 34390915 _002041 0045 0050 0middot060
3096760 3596590 35 96202
-003426 -003297 -003003
3557398 3557218 3556809
-003147 -003014 middot002709
3517960 3517772 3517343
-002793 -002656 -002344
34 784102 ]47826 34778 18
-00378 -002239 -001 9 19
34389 10 3438713 3438248
-001 9 15 ~001774 _001449
0070 35 917o6 -002663 3556336 -002357 3516845 001980 3477298 _001 546 34 37706 _001067 0080 0090 0100 (l120
3595256 35 947 11 35 9413 3592844
-002284 0011170 001425 -000462
3555804 3555221 3554590 35)3209
-0111960 -001525 -001055 -000030
3516284 3515666 3514995 3513519
-001568 -001115 000623
000458
3476709 34 76059 34 75351 34737A7
-001122 000052 -000141
000988
34 37092 34 36411 34 35669 34 34021
_000633 000150
000378 001552
01 40 3591451 000579 3551696 001088 3511893 001644 347204 002237 3432188 0028~7
0160 3389969 001680 3550078 002277 3510147 002914 34701R6 003582 3430203 004270 01 80 0200 0250
35684]1 35 86808 3582602
002826 004010 007094
35 48376 3546607 3541961
~ 004S14 008198
3508303 3506380 -3501309
0middot04252 005644 0~09313
34 b8206 34 661 35 3460653
005004 00492 010432
34 28 093 3425880 34 20001
005772 0middot07349 ~1l547
0300 3578208 010308 1537088 011745 ]495969 013181 3454858 0146 08 3413762 016021 0350 0400 0450
3573687 3369072 3564385
013608 016960 02031+1
3532060 352691 8 3521688
015401 019125 0 228119
3490444 3484784 3479020
017182 021269 025409
3448846 34+2677 34363116
0lR946 023387 027894
3407273 3400612 3393791
020685 025472 030339
0500 3559637 023738 3516387 026676 3473172 029578 34ii9997 032441 3386869 035257
0550 3554838 02739 35 11025 030472 3467254 033764 3423529 037010 3379855 040204 0600 3549992 030538 3505609 034270 3461274 037955 34169A9 041589 3372762 0middot45165 0650 0700 0750
3545097 3540142 3535101
033930 037309 040672
35(01403494605 3488981
0J8062 0 41843 0 45607
34 55233 3449123 3442920
042143 046320 050482
3410383 341137Q1 33 96923
046167 050738 055293
3365594 3358345 335099)
050131 050090 060035
0800 3529933 044015 340 83227 0+9350 3436584 054622 3390008 059827 3343505 064959 0850 0900
3524573 3518938
047333 050624
3477281 3471060
0 53067 0 56754
3430055 3423250
058735 062816
3382899 33 75514
064332 06e804
33351119 3327857
069854 074713
0950 3512922 053R83 3464460 0 60401 3416068 066859 3367711i3 073236 3319520 079531 1000 3506400 057106 31+57357 0 64020 34 08387 070861 3359496 077622 3310689 084300
1100 3491247 063430 3441059 0 7 1113 3390950 078717 334 0924 086237 329098b 093670 1200 1300 1400 1500
3472100 3447128 34138 10 3369028
069566 075482 081147 086534
3420805 3394785 3360506 3314884
077996 0 84634 0 90992 0 97038
3369593 3342529 3307291 3260833
086343 093699 100747 107449
3318468 3290363 3254171 3206878
094603 102674 1104 08 117764
326743) 323829i1 3201148 3153024
102771 1011554 119971 1279 77
Page 125
TABLE 13 ICONTINUED
lC bull 01300 lC bull 01400 X bull 01500 lC bull 01600 lC bull 01800
T -H HE -H HE -H HE -H HE _H HEIKI IJMOLE IJMOlE IJMOLEI IJMOLE IJMOLE IJMOLEI IJMOLE 1JMOLE I IJMOLEI IJMOLE)
0300 3372687 017413 3331638 018779 3290622 020111 3249642 021 408 3167814 023869 0350 336570 022394 3324222 024067 3282756 02569 32413l~ 3158645 0303070~~860400 3358565 027519 3316572 029524 3274627 03147 3232734 O 3 82 U 49121 0370140450 3351242 032740 3308743 0 35091 3266299 037386 32 t 3912 039624 313933 0439050500 3343192 038021 3300771 0 40731 3257811 043378 32 14914 0415963 3129330 050923
0550 3336238 043341 3292683 0 46417 3249193 049427 3205772 052368 3119154 058027 0600 3328596 048681 3214495 052130 3240466 055509 31bull 96509 05815 3108833 0651900650 3320871 054028 3276218 057856 3231640 061608 1 87138 065284 3098385 0723860700 3313058 059373 l267846 063581 3222712 067711 31middot776~9 071760 3087812 0middot79i990750 3305140 064704 3259363 0 6295 3213668 073804 3168057 078230 3077104 0middot86810 0800 3297079 010014 3250733 074989 3204473 079979 3158299 084681 3066231 094008 0850 3288818 075296 3241902 080654 3195073 085924 314834 091104 3055144 1011780900 3280282 080540 3232793 086281 3185395 091931 31 38090 091488 3043773 1083080950 3271311 085741 3223311 0 91863 3175344 097890 3127473 103823 3032031 115388 1000 3261969 090891 3213340 0 97391 3164807 103794 3iU372 110101 3019808 122406
1100 3241139 101011 3191388 108256 3141738 115402 3092188 122446 29 9340 1036214 1200 3216498 110843 31065660 118816 3114925 126686 30middot64296 134451 2963367 1middot496501300 3186321 120334 3134452 129012 3082690 137583 30310]6 146047 2928067 162633 1middot400 3149228 h29431 3095413 1 38787 3042708 148032 2990114 1057166 28 85274 1 7508710500 3099275 138086 30 45634 1 48086 2992106 157974 2938691 167749 2832218 186942
TABLE 13 ICONTINUED)
lC bull 02000 lC bull 02250 lC bull 02500 lC bull 0~750 lC bull 03000 HET -H -H HE -H HE -H HE -H HE
11( IJMOLE IJMOLEI IJMOLEI IJMOLEI 1JMOLE 1 IJMOLEI 1JMOLE I IJMOU IJMOLE IJMOLE 0300 3086192 026125 2984509 028600 2883270 030630 2182540 032152 2682380 033103 0350 3076190 033094 2973502 036195 28 71296 038815 2169633 040893 2668572 0423680400 3065773 040385 2962000 0 44185 2858742 047469 2156058 050180 2654004 052260 0450 31550~7 LIl 2950113 0 52455 2845736 056461 27 41960 059864 2638842 062610 0500 3044049 055579 29 37921 060926 2832369 165698 2727446 069141 2623204 013302
0550 3032858 063364 2925485 069539 2818712 075113 271252 080034 2607178 084249 0600 3021496 071225 2912844 0 78251 2804815 084653 2697460 090382 25908~9 095385 0650 3009986 0 79 135 2900025 0 87031 2790710 094283 26 82088 100140 2574210 106655 0700 2998333 087069 2887042 095851 2776415 103968 26 66500 111372 2557346 1middot180170750 29amp6531 095011 28bull 73890 104688 2761931 113682 26 50701 121947 2540247 129436
0800 297455 102942 2860548 113521 2747241 123401 2634678 132537 2522906 140881 0850 2962356 110849 2846974 122334 2732307 1033105 2618399 143117 2505295 15232 0900 2949870 118716 2833107 1 3110 2717072 142173 26018 10 153665 2487366 163740 0950 2937011 126531 2818865 139830 2701460 152388 2584841 164161 2469051 175105 1000 2923675 134281 2804149 148484 2685377 1061933 25 67402 174585 2450267 186397
1100 2895075 149537 2772820 165529 2651340 180745 25306T9 195143 2410878 208680 1200 2862897 164390 2737991 10 82134 2613880 199083 24 90606 215195 U 6821g 230428 1middot300 2825511 1078747 2698147 198194 2571536 216828 24 45718 234608 32091 251493 1400 27 80917 192525 2651182 213611 25 22276 233868 23 94238 253257 2267110 271736 1500 2126237 205643 2594485 228294 24 63577 250102 2333551 271027 2204447 2 91030
Page 126
TABLE 14
THE VAPOR PRESSURE 0 HE3 - HE4 50LUTrON~
P (TORR)
~ 00001 00002 00005 0middot0010 00020 00030 00040 10010 00060 00080
110
0300 2102-006 4204_006 1051-001 2101-005 4200-005 6295-005 8386_005 1047-004 1251-004 1670-004 0320 0340 0360 0380
3962-006 6961_006 1153-005 1817-005
7923-006 1392_005 2304_00S 3630-005
198a-005 347 _005 5718_005 9068_005
3919-005 6952_005 1151-004 1812-004
7910-005 1389_004 2298004 3617_004
1185-004 2080_004 3442_004 5417_004
1H9_004 2770_004 4~82004 7209-004
1971-004 3457_004 I717-004 1I991-004
2362-004 4143_004 6849_004 1077-00l
3140-004 s505-004 9099-004 1 431-003
0400 2746-005 5482-005 1369-004 2734-004 5457-004 8170-004 1087-003 t 356-003 10624-003 2156-003 0420 4007-005 7988-005 1992-004 3978-004 7937-004 1188-003 1581-003 1972-003 2361-003 3middot134-003 0440 0460 0480
5680-005 7865-005 l070-0il4
1middotU9-OO4 1555-004 2098-004
2810-004 3860-004 5180-004
56g8-004 76 4-004 1031-003
10 119-003 1534-003 2053-003
1614-003 2294-003 3070-003
2227-003 3052-003 4082-003
2middot777-003 3805-003 5090-003
3325-003 4555-003 092-003
4413-003 044-003 082-003
0500 1437-004 2783-004 681 8-004 1353-003 2691-003 4022-003 5347-003 6665-003 7976-003 1058-002 0520 0540 0560 0580
1916-0Q4 2550-004 3403_004 4569_004
3645_004 4734_004 6120_004 7903_004
8829_004 1128_003 1426_003 1789_003
1745-003 2217_003 2781-003 3451-003
3463_003 4386_003 5479_003 6761-003
5173-003 6545_003 8163_003 1005-002
687middot_003 8I9Z_003 1083_002 1333_002
8566-003 1083_002 149_002 1659-002
1025_002 1295_002 1613_002 1983-002
1359-002 1717_002 lU7-002 2 626-002
0600 6182-004 toZ2-003 2233-003 4247-003 8258-003 1225-002 122-002 2016-002 2409-002 3188-002 0620 0640
8434-004 1159-003
1328-003 1733-003
2779-003 3454-003
51 92-003 63U-003
9998-003 1202-002
1478-002 1769-002
1953-002 2333-002
2middot42middot002 J 1I94002
2897-002 3451-002
830-002 4558-002
0660 0680
1599-003 2211-003
2274-003 2middot998-003
4297-003 5356-003
7662-003 9277-003
1436-002 1709-002
2103-002 2485-002
2765-002 3258-002
3425-002 4026-002
4080-002 4789-002
5380-002 305-002
0700 304-003 3964-003 6691-003 1123-002 2026-002 2924-002 31117-002 4705-002 5588-002 1340-002 0720 0740 0760 0780
4205-003 5759middot003 7832-003 1057_002
5250-003 6951003 9183_003 t209_002
8381003 1052-002 1323_002 1665_002
1359-002 1646-002 1997-002 2425-002
2396_002 2829-002 3337_002 3936_002
3427-002 4005-002 4671_002 5439_002
4452_011 2 51 74_002 5996_002 6934_002
5472-002 6331-002 7315-002 8420-002
6486-002 7494-002 8626_002 9898_002
8 497-002 188-002 1 123- 00110 283-001
0800 143-002 1584-002 2096-002 2947-002 4642-002 6328-002 8004-002 9671-002 1133-001 1462-001 0820 0840 0860 0880
1813-002 2459-002 3199-002 4125-002
2063-002 2671-002 3434-002 4383-002
2U5-0OZ 3306-002 4136-002 5157-002
3585-002 4361-002 5304-002 6443-002
5477-002 6 463-00ii 7629-002 9005-002
7358-002 8553-002 9941-002 1middot155-001
9228-002 10063-001 1224-001 1409-001
1109-001 1270-001 1453-001 1661-001
1294-001 1 475-001 1680-001 1 911-001
1661-001 1883-001 2middotUI-001 2 4011-001
0900 I271-002 5554_002 6404-002 7816-002 1063-001 1343-001 1121_001 189-001 2172-001 2118-001 0920 0940 0960 0980
6677-002 8390-002 1046-001 1294_001
6988_002 8729middot002 1083_001 10334_001
7917-002 9742-002 1193-001 1453_001
9462-002 1143-001 1376-001 1652-001
1254-001 1478-001 1741-001 2047-001
1560-001 1812-001 2103-001 2440_001
186middot-001 21 4-001 2464-001 2831-001
216middot001 2474-001 2823-001 3220-001
2468-001 2802-001 3180-001 3607-001
3065-001 3 453-001 887-001 4374-001
1000 19-001 1632-001 1761-001 1976-001 2403-001 228-001 3251-001 2671-001 4089-001 4 919-001 1050 1100
2579-001 4028-001
2631-001 4089-001
2786-001 4273-001
3044-001 4578-001
3557-001 5186-001
4067-001 5790-001
4575-001 6392-011
5080-001 6990-001
5583-001 7585-001
579-001 8 166-001
1150 10200
6081-001 8907-001
6153-001 8990-001
6367-001 9U-001
6724-001 9650-001
7435-001 1047middot000
8142-001 1129middot000
8845-001 1210middot000
9545-001 10 291000
1024middot000 1312middot000
1162middot000 1 532000
1300 1768middot000 1779000 1811middot000 1865000 1971middot000 2077middot000 213000 2288middot000 2393middot000 2601000 1400 1500
3220+000 5468+000
3234middot000 5485000
3274middot000 5534+000
3341000 5616+000
3475+000 5779000
3608+000 5942000
3741+000 610middot000
3813+000 6265middot000
4005middot000 6 426000
4266middot000 47000
Page 127
TAeL[ 14 (CONTtNU[OI
p ITORRI
00100 o0150 00200 00250 00300 00350 00400 004S0 00500 00550 ~
110
0300 2082-004 3100-004 4096-004 5069-004 6015-004 6933-004 182Z-004 11681-004 9510-004 1031-003 0320 3913-004 5819_004 1682-004 9499-004 1126-003 1298-003 1463_003 1624-003 1718-003 1921-003 0340 6858_004 1019_003 1344_003 1661_003 1969_003 2261_003 2556 003 183S-003 3104_003 363-003 0360 1133-003 1682_003 2218_003 21~9-003 3245_003 3136_003 4211_003 4669_003 5112_003 5538-003 0380 1181_003 2643_003 3483_003 4299_003 5093_003 5861_003 6605_003 1324_003 A017_003 e 68S_001
0400 2684-003 3980-003 5243-003 6471-003 1662-003 8811-003 9935_003 1101-002 1206-002 )306-002 0420 3900-003 S180-003 761Z-003 9392-003 1112-002 1279-002 144Z-002 598-1)02 1150-00Z ]895-002 0440 5490-003 8135-003 1071-002 1321-002 1564-002 1199-002 2021-002 2247-002 260-002 2 666-002 0460 1518-003 10114-002 1466-002 1808-002 2140-002 2462-001 27H-002 3015-002 3367-002 648-002 0480 1005-002 1489-002 1959-0OZ 2416-002 2859-002 3289-001 3706-002 4109-002 4499-002 4875-002
0500 1315-002 1948_002 2562-00Z 3160-002 3739-002 4302-002 4141_002 50314-002 5885-002 6378-002 0520 1690-002 2501-002 3289_002 4056-002 4800-002 5522-002 6222_002 tIe99-002 7555-002 8189-002 0540 2134_002 3158_002 4153_00 2 51Z0-002 6059_002 6970_002 185middot_002 8710-002 9538_002 1 034-001 0560 2656-002 3928_002 5165_002 6367-002 1535-002 8668-002 9767_002 1083-001 1186-001 lch-OOI 0580 3261-002 4821_002 6338-002 1812-002 9245_002 1063-001 11 98_001 1329-001 1456_001 1 519-001
0600 3958-002 5847_002 7685-002 9471-002 1121-001 1289-001 1 53-001 1611-001 1765-001 )914-001 0620 4152-002 7016-002 9217-002 1136-001 1344-001 1546-001 1142-001 1931-001 2117-001 ZZ96-001 0640 5653-002 8middot331-002 1095-001 1349-001 1595-001 1835-001 2068-001 2294-001 2513-001 2 726-001 0660 66o6-002 98Z1-002 1289-001 1587-001 1871-001 2159-001 2433-001 2~99001 2 957-001 3 208-001 0680 7803-002 1148-001 1505-001 1853-001 2191-001 2~20-001 2114(-001 3150-001 3451-001 3144-001
0700 9073-002 1332_001 1146-001 21 48-001 2539-001 2920-001 3290-001 3649 001 3998-001 4337-001 0720 1049-001 1537_001 2011-001 2473-001 2923-001 3360-001 3785_001 41 99-001 4600-001 990-001 074 0 1206_001 1762_001 2304-001 2831-001 3344_001 3843_001 4328_001 4800-001 5259-001 5 705-001 0760 1380-001 2011-001 2625_001 3223-001 3805-001 4371-001 492Z-001 5451-001 5979-001 6 86-001 0780 1573-001 2284_001 2977_001 3651-001 4307_001 4946_001 51368_001 61 73 001 6762-001 7335-001
0800 1787-001 2585-001 3362-001 4111-001 4855-001 5572-001 6270-001 tI 950-00l 7612-001 8 255-001 0820 2024-001 2914-001 3782-001 46Z6-001 5449-001 6250-001 7030-001 7190-001 8530-001 9Z50-00l 0840 2286-001 3276-001 4240-001 51 78-0111 6093-001 6 984-001 7852-001 86911-001 9521-001 1032-000 0860 2577-001 ]612-001 4139-001 5178-001 6790-001 7717-001 8739-00 9~16-001 1059-000 1middot148-000 0880 2900-001 4107-001 528Z-001 64C8-001 7545-001 8633-001 9694-001 1073-000 1114-000 1 272000
0900 3258-001 4583-001 5874-001 71 33-001 8360-001 9556 001 1012000 186000 12970000 1405000 0920 3656-001 5105_001 651 9-001 1896-001 9240-001 1055000 118l000 1307middot000 1 4290000 1 547000 0940 4097-001 5619_001 7220-001 8123_001 1019000 116200(1 130Z000 14311000 1570000 1100000 0960 4588 001 308_001 7984_001 9619-001 11210000 1217000 1429000 1571000 1122000 ]863000 0980 5133-001 6998_001 881 6-001 10590000 1232000 14010000 11566000 727middot000 1884-000 2 037000
1000 5739-001 7155-001 9721-001 1164000 1351000 1534000 1112000 1887middot000 2051middot000 2 223000 1050 1566-001 9990-001 1235middot000 1466middot000 1692000 1912000 2121000 2middot33middot000 2543middot000 2143000 1100 9935-001 1281000 1561+000 1835middot000 2103000 2365-000 2620000 2810middot000 3115000 3354-000 1150 1299-000 1635middot000 19640000 228Smiddot000 2599middot000 2906middot000 3206000 3500middot000 3787middot000 4 068000 1200 1690middot000 2079000 Z460middot000 2832000 3196000 3552middot000 3900000 4242-000 4576middot000 4 902000
1300 2801 000 331 4000 3810middot800 4295000 47nmiddot00O 5237middot000 5o93middot000 6140000 6578middot000 1008000 1400 4526middot000 5165000 5791000 6404-000 7006-000 7596middot000 8175000 8743middot000 9300000 9846000 1500 7064middot000 7848middot000 8618-000 9373middot000 1011middot001 1084001 11560001 1226middot001 1295middot001 1middot36Zmiddot001
Page 128
TABLE 14 ICONTINUED
P ITORR
00600 00640 00650 00700 00750 00800 00900 01000 01100 01200 ~ 00
0300 1107middot003 10166003 1181middot003 1251003 1318middot00l 1382-003 1tSOOmiddotOOl 606middot00l 1700middot003 1 183-003 0320 2069003 211900l 2206003 2337middot003 2 46200l 2582_00l 2804_003 3003003 3182003 33l9003 0340 3611003 3803_00l 3850003 4079003 4298_003 4507003 4896_003 5241-003 556100l 1841-00l 0360 5948 003 6264003 6341003 6718003 7080_003 7425_003 8069003 8652003 917600 3 9 644003 0380 93~8_003 9824_003 9946_00 3 1054002 1111-002 1165_002 1267002 1359-002 1442_002 i 517-002
0400 1403-002 10418-002 1496-00Z 1586002 1 1171-002 1153-002 1907002 2047002 2 174-00Z 2 288-002 0420 2036-002 215middot002 2171-002 2301-002 2426middot002 2546-002 2770middot002 l975-002 3161-002 329-002 0440 2864-002 301 7002 3054-002 323a-002 3414-002 3583002 3901-002 41 9Z-002 457middot002 bullbull696-002 0460 3920-002 4130middot002 4181-002 4433-002 4675-002 4908-002 5346-002 5747-002 6114middot00Z amp447-002 0middot480 52~8-002 5520-002 5589-002 5926-002 6251-002 6564-002 71 52-002 769]-002 8189-00c 8 640-002
0500 6854middot002 7223middot002 731 4-002 7757-002 8183-002 8594-002 9369_002 OOA-OOI 1074-001 1 134-001 0520 8802002 9277002 9393-002 9964-002 1051-001 1104_001 1205-001 1297-001 1382-001 1460-001 0540 10 112middot001 J 172-001 1186-001 1259-001 1328-001 1396-001 1523middot001 ~640-001 1749001 1848- 001 0560 13113-001 458_001 1bullbull76001 1566-001 1654_001 1738_001 1891_001 044001 2180-001 2306-001 0580 1697-001 J 790-001 1812-001 1923-001 2031-001 2134-001 2331-0b1 2513-001 2682-001 2837-001
0600 20-8-001 21 70-001 2198-001 2333-001 2464-001 2590-001 2829_001 3052-001 3258-001 ]449-001 0620 2469-001 2604-001 2637-001 2799-001 2 956-001 3108-001 3397_001 3666-001 3915-001 4147-001 0640 29~2-00l 3092-001 3132-001 3325-001 3512-001 3693-001 4038-001 4359-001 4658-001 4 935-001 0660 3451-001 640-001 3686-001 3914-001 4135-001 4349-001 4756-001 5137-001 5491-001 5821-001 0680 4028-001 4249-001 4303-001 4570-001 4829-001 5079-001 51556-001 600]-001 6419-001 6 807-001
0700 4666-001 4923-001 bullbull 986-001 5295-001 5596-001 5887-001 6442-001 6962-001 7448-001 901-001 0720 5369-001 5664_001 5737-001 6094-001 6440-001 6776-001 741 1001 8018-001 8581-001 9 106-001 0740 6139_001 6476_001 6560-001 6968-001 7365-001 7750_001 8485_001 ~175-001 9822-001 1043 bull000 0760 6979_001 7363_001 7457_001 7922-001 8374_001 8812_001 9650_001 1044000 1118000 101870000 0780 7892-001 8326_001 8433_001 8959-001 9471_001 9967_001 10920000 101 810000 12650000 13440000
0800 88A2-001 9310-001 9491-001 10080000 10660000 11220000 12290 000 13300000 14250000 15140 000 0820 9951-001 10500000 10630000 11 300000 1194000 12570000 13770000 14900000 15970000 1697middot000 0840 10 11 00000 1171 0000 1186middot000 12600000 13320000 14020000 15360000 16630000 17820000 18950000 0860 1234middot000 13020000 13190000 1401middot000 14810000 15580000 17080000 1middota49deg000 19820000 2100000 0880 1030000 14420000 1461 0000 1551 0000 16400000 17260000 1891+000 2040000 21950000 23340000
0900 11510 0000 5930000 16130000 17130000 18100000 19050000 20870 000 2600000 24230000 25770000 0920 16630000 J753middot000 17760 000 1885middot000 1 9920000 20960000 22970000 24810000 26660000 28360000 0940 18260000 19250000 19490000 20690000 21870000 23010000 25200000 272~0000 29250000 31120000 0960 2001+000 21080000 21350000 22660000 23940000 25180000 2 bull 580000 29850000 32010000 3~OoOOO 0980 21870000 2304 0000 2333 0000 24750000 2614 0000 27490000 30U000 32A o OOO 3~9000 31170000
1000 2385000 2512+000 25430000 2698000 2848 0000 2990000 3279000 548000 38040000 40470000 1050 29390000 3093000 31310000 33180000 35010000 36790000 40230000 43510000 46630000 4 9590000 1100 31)87000 3771 0000 38160000 40390000 42510000 4471 0000 488~0000 52750000 I6500000 60070000 1150 43430000 45590000 4612000 4850000 51330000 53840000 5871 0000 336deg000 6780 0000 72040000 1200 5222000 54140000 55360000 58~2deg000 61420000 6436middot000 1005000 75490000 80690000 85660000
1300 74t90000 77600000 7842+000 8246000 86420000 90310000 97840000 10l1deg001 11200001 11860001 1~00 10380001 10800001 10910001 11 420001 11930001 12430001 13390001 14320001 15210001 16070001 1500 14~90001 1481001 1494001 1580001 16210001 16830001 1804 0001 9200001 2031+001 21390001
Page 129
tOO+8pound tOO+6ZtE tOO+Z61t 1000StOpound lOO+SSSZ lOO+tOZ toO+6ZS2 100middott2 100middotZEZ lUOZYZZ 005 I 10000pound9i tOO+6poundSZ tOOmiddotti tOOpoundIpoundZ 100SLlZ tOOotSOZ toO9t6 1 100middotS1 1009 ( 1006891 00 1 100096 1OO+6St 1000Jnt toOSZ I 1000tZ91 tOOSZSol 1000Z1 10069pound1 100Upound lOOoOSZt OOtI
1000Z 100pound1 100Wtpound1 1000poundSZt 1001111 100Ottl 100poundpound01 000Z6deg6 000pound66 000006 OOZI 100pound611 100SSt1 1006011 toOSSOt 000+poundZ66 000pound6 OOOSOS OOOoIlStS 000Z66 0000SU9 OStl OOOopoundHO 0006096 000+0Z6 000096S 0000S2S OOOotos 00099Z 000+S69 000699 000+9pound9 OOtt 000 at 000Z06deg OOOoWoy OOOmiddotziZ 000middotOU9 00009 000000 00019S OOOSOSS OUOot1ZS OSOt 00064]deg 000019 000_01l14 000+6611S 000+pound9SS 000-6ZS 00006S 000+00 00006 OOOoLZ OOOt
000-pound09 OOOOLliS 00099 00060 S OOOoOts OOOolllS 00006 000091pound OOOmiddotUt 000SZ6pound 01160 OOO-LOSS 000-19poundS OOoyt 000-L6 000-04 0001 h OOO-Stt 000-poundS6pound 000-19E ouO-S6Spound 0960 OOomiddotttoS OOOmiddotZSs OOOoLt OOOozt 0000Z9Z OOOoZO 0006Spound 000119pound OOOmiddotSs~ 000s8Zpound 0iJ060 00095 0000poundpound 00009I1Z OOO-lOl OOOIILIipound 000 0999degpound OOO+npound 00006Zpound OOO+hl Ii 000-966Z 0260 000_ tt1 0000 ltO OOO_ZSIIpound OOO-slLpound OOO-Uipound ooooapoundpound 000_1101pound 000-1I116Z 000-6SSZ OOO-zeZ 0060
OOO-poundOipound 000-19pound OOO-poundOSpound 000-5poundpound 000-6Llpound 000-600pound OOOopoundlSZ OOOoOZ 00006SS2 OOOoSZ 09S0 OOO-Zpoundpound OOOoOSZpound OOOoO~Ipound OOOopoundZOpound 000-9SZ OOO-ZtLZ OOOLpoundSZ OOO-OZ 00009poundpoundZ OOOSZZZ 09S0 000_U6Z 000middot1I06Z OOOotZioZ OOO-oUZ OOOmiddotOLSZ OOO-SpoundZ 00006lZZ 000-Z61Z OOOOOPZ OOO+OOOZ oeo 000_S9Z 000middott6SZ 0009tSZ 000061Z OOOhzZ OOO-UtZ 00006pound0Z 000-Z96t OOOOSS[ OOOotOL1 OZSO OOOopoundpoundZ 00001l6ZZ OOOopoundZZ OUOolstz OOOoZOZ 0000Spound61 OOOUSl 00006L1 000+9L9 000L6t OOSO
000-S90Z OOOoLZOZ OOOoELfIt 000degto6t 000-80St OOOmiddotLtL 0000019t 000-lSS OOOdegLa ( OOOmiddotst1 OSLO OOOottSt OOO-OSLl 0000poundL1 OOOmiddotZLIj 000Z6St 0000pound14]1 OOOmiddotlZl 000S9pound1 OOO-ZIpound OOOzszt 09L0 OOO-SLS1 OOO-poundSSl OOO-SHiL 000-pound91 000middot6pound 1 00009Zpound1 000-9Z1 00010Z1 OOO+ZSI 000-6601 hLO OOO-Lpound OOO-Lpoundl OOO+SIpound1 OOO-ZLZl OOOmiddotIZt 0009St1 000-9801 OOOmiddotLOl OOOSOO 100-90S6 OUO 0009Llt 00000911 OOOoSpound1 1 0000S601 000601 00000001 100-116 tOO-LLO6 100-18 100-poundZpoundS OOLO
000_00 100-SI66 tOO-middotlLo 100-16 100-LOO6 100-pound6SS 100-60S 100-0111L lOO-ZOSL tOO-SlItL OS90 tOO-EOS 100-Z11I tOO_lSZ 100-S00S 100-tL9L tOO-LZpoundL 100-S009 100-6999 100-60 100-9Z19 0990 100_11pound1 100-pound0 100_e69 100-ESL9 100-1lL9 100-619 lOO-9SS 100-L9S 100-6Z tOO_Z61S 09 0 too-Spound~S 100-16SS tOO-S6Le l OO-lIjS 100-0ZS t OO-S~il1degS 100-Z06 100-LtLdeg tOO-LSS 100-01pound OZ9deg0 tOO-poundS9 tOO-SSllo 100-middotSL 100-9 100-8S 100-tOpound tOO-690 100-t6pound 100-9f1L( 100-S~9pound 0090
100-1L6pound tOO-5S6t 100-06pound 100-poundlSpound 100-iL9pound tOO-LlSpound 100-0tOpound 100-IpoundZmiddotpound tOO-ztt ~ 100-OiltgtZ Oaso 100-681pound 100-Z91degpound 100-9t li toO-LOpound lOO-ZL6Z 100-9SSZ tOO-aOLoZ 100-t29Z tOO-zSZ 100-1oZ 0950 100-ZSi 100-ZSZ too-Los 100-tOZ tOO-tLtOZ 100-lI1ZZ 100-991degZ 100-8602 tOO-poundZOZ tOO-O~middott OirSO 100-L96deg 1 100-U61 tOO-LS6 1 too-~Z~o 1 100-Z9S1 tOO-6Lol lOO-90tt 100-S91 100-S6So 100-1(S1 OZSO [OO-OSl 100-E1Sol 100-iOi L [OO-n t 100-8pounddeg1 100-88poundt tOO-Zzpoundt toO-Z8Zmiddot1 100-UZt tOO-Silll OOSO
100-tEtdegl tOO-6pound1 t 100-11pound 1ot tOo-Oinot 100-0601 100-ESO1 tOO-SOool ZOO-tSL6 ZOO-6U6 ZOO-OiO6 OQOZOO-60ti 200-IIpoundoS ZOO-ZapoundoS ZOO-eeZs ZOo-zsOs ZOO-SZSL ZOO-SLL ZOO-09ZL ZOO-610 ZOO-S9 090 ZOO-poundS6degmiddot ZOO-ZOmiddot9 ZOO-iltOq ZOO-SS6S ZOO-OSSS ZOO-gOs ZOO-6lS lOO-eLlS 200-90tS ZOO-poundt6deg 00 ZOO-Imiddotmiddot ZOO-tOZ ZOO-Opounde ilOO-OZ ZOO-OZ1 ZOO-poundOO ZOO-LpoundSpound ZOO-Ettt lOO-SI9 ZOO-Owpound OZO ZOO-96LZ ZOO-SZ ZOO-OLez ZOO-098degZ ZOO-UsoZ ZOO-LHZ ZOO-Sl9Z ZOO-65SZ ZOO-OSoZ ZOO-Otltz 00deg0
ZOO-US1 ZOO-SSol ZOO-LiIl ZOO-USl ZOO-osst ZOO-SOSI ZOO-9poundL t ~00-tf9I ZOO_Z901 ZOO-poundilS1 OaEO ZOO-ltl ZOO-6S11 ZOO-LL I L ZOO-OSIl ZOO-L9tt ZOO-1lmiddot 1 zOO-OOldegl ZOO-(LO1 ZOO-ZtOO ZOO-90001 09pound0 EOO-pound69 EOO-6I1S9 poundOO-OZOL pound00-90L pound00-1I00
0 L EOO-US9 pound00-09 poundOO-n EOO-I0t pound00-110 0pounddeg0
pound00-poundpound1 pound00-6SSpound EOO-~~r (00-066pound EOO-ZL6t pound00-06pound EOO-leLpound poundOO-L69E pound00-96S( poundOO-Upound OlpoundoO pound00-16 pound00-9102 poundOO-ZLO~ EOO-[OZ poundOO-Z01Z tOO-ZLOZ EOO-110Z pound00-6961 pound00-Lt6deg1 pound00-S58I OOEO
000pound0 OSLZO OOSZO IISZZoU OOOzmiddotO OOelO 00910 OOSlO 0010 00pound10 ~
U1~Ol1 cI
(QiON1INO) t i1BYI
TABLE 15
THE HE3 CONCENTRATION TN THE VAPOR ABOVE HE3 - HE4 SOLUTIONS
XV
00001 0On02 00005 00010 00020 00030 0004 0 0005 0 00060 00080
C1()
0300 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0320 0340
09999 09998
10000 09999
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000ioooo
10000 10000
0360 09995 09997 09999 09999 10000 10000 10000 10000 10000 10000 0380 099 87 0 9993 09997 1)9999 09999 10000 10000 100 00 10000 10000
0400 09970 09985 09994 09997 09998 09999 09999 09999 09999 10000 0420 0440
0middot993g 098 79
09969 09lt139
09998 099 76
09994 u9988
0middot9997 0middot9994
09998 09996
09998 09997
09999 0999 7
09999 0 9998
09999 09998
0460 09711 09881 09955 09977 09989 09992 09994 09995 0 9996 09997 0middot480 0 96 20 0 9A O 09921 0 9960 0 9980 09987 0 999 0 0 9992 09993 0 9995
0500 09377 09678 098l-1i1 09934 09967 09978 09983 09986 09989 09991 0520 0540
09032 08570
09491 09230
09790 09677
098q4 09835
09946 09917
09964 09944
09973 0995
09978 09966
09982 09972
09986 09979
0560 07988 0 8881 0 9 520 09753 09875 09916 0 9936 09949 0995 7 09968 05ac 07300 08439 09310 09642 09817 09877 099 07 0992_ 09937 09953
0600 06538 07906 09041 09496 09740 09825 09868 09A93 09911 09932 0620 )0640 0middot160 0middot680
0middot5744 04961 0middot4225 03561
0729 06631 05940 05251
08708 0 8310 0 7851 07342
u9308 0 9075 08795 08 465
0middot9641 0 9 514 0middot9357 0 9 167
09757 09(69 09560 09427
0981 0 9 149 0966(1 09563
09amp52 09798 09730 09646
09876 0 98 30 0 9773 0 9702
09906 0 987 1 09828 09714
0700 02981 04593 06796 118090 08942 09267 094 3 0 9544 0961 6 09708 0720 0740
02486 02071
03982 03431
06230 05661
07675 07227
08681 08386
09078 08860
09290 091111
0 9423 0928 0
09513 09391
09628 09534
0760 01727 02944 051(4 067lt5 08060 08614 089 21 09115 09250 09424 0780 01443 02522 04572 06272 07705 08340 086911l 08928 n9088 09297
oeoo 01210 02159 04075 05787 07327 08040 08451 0 871e 0middot8906 09153 0820 0840 0860
0101 9 00863 00 734
01850 01588 01367
036 18 03205 028 34
05311 1)4851 04414
06933 06528 06120
07718 0737 07024
08181 0 7892 07585
0S4iT 08236 07966
08704 08482 0 8243
0899 1 08812 08616
0880 00627 0118 0 0Z506 04005 057 14 06662 07264 0768 1 07986 08404
0900 00539 0loe3 02216 03626 05317 06295 116934 073113 0 77 16 08177 0920 0 940
00466 0040 4
00890 00777
01 962 01 7 39
03278 029 61
0middot4932 0middot4564
05930 05570
06597 06259
0 7 075 0676 1
0 7434 07143
07937 0768 6
0 960 0980
00353 00309
0068 1 00600
01545 01375
02675 0241fgt
04 216 03888
05218 04878
()592~ 05590
06444 06127
0 6846 06546
07425 07157
1000 00272 005311 01227 021 A5 03582 04553 05266 05813 06245 06884 1050 1100 1150
0020~ 00154 00119
00396 00303 00236
009 34 00723 00570
)1708 I1348 VI077
0291 4 02373 01943
0J811 03179 02653
0450~ 038 2Q
03247
05057 04365 03751
05501 0 48 13 041A4
06196 05523 04889
1200 00095 001 88 00456 00811 01601 02222 02156 032l0 03627 04308
1300 00063 00124 003 05 00592 01117 01586 020011 02386 002730 03332 1400 0middot0044 00087 00215 00421 00808 01164 01 493 01198 0 02081 02591 1middot500 0middot0032 001164 001lt9 00312 0-0606 000881 01140 0138 15 0161 6 02042
Page 131
TABLE 15 (CONTINUED)
XV
~ 001()0 00150 00200 00250 00300 00350 00400 00450 00500 00550
(I()
0300 10000 10000 10000 looon 10000 10000 1000n 1000n ]0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0360 10000 10000 10000 10000 10000 10000 10000 10UOO 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 100UO 10000 10000
0400 10000 10000 10000 10000 100000 10000 10000 10000 0000 10000 0middot420 0440
0middot9999 0middot9991i
10000 09999
10000 09999
10000 119999
10000 10000
10000 10000
10000 10000
10000 10000
]0000 10000
10000 10000
0460 09998 0999A 09999 09999 0middot9999 09999 09999 09999 09999 09999 04 0 09996 09997 09998 1)9998 0middot9998 09999 0 9999 09999 0 9999 09999
0500 09993 09995 09996 09997 09997 09998 0999A 09999 09998 09998 0520 0540 0560 0580
09981i 09983 09974 09962
09992 09988 09982 09974
09994 09991 09986 09980
09995 09993 09989 09984
09996 09994 09991 09986
09996 09995 09992 09988
09997 0999i 09993 09989
09997 09996 0999] 09990
09997 0999t) 09994 09991
09998 09996 09994 09992
0600 09945 09963 09972 09977 09980 09983 099811) 09986 0 9987 09988 0620 0640 060 06f1O
09924 0middot9896 0middot9861 0middot9817
0994 09929 099015 0987c
09961 0 9946 09928 09905
09968 09956 09941 09923
0middot9973 0 9963 0middot9950 0middot9934
09976 09968 09957 09943
09979 0 9971 09961 09949
09981 09Jfh 09965 09954
0middot9912 0 9976 09968 09958
09984 09978 09971 09961
0700 09763 09839 09877 09900 09915 09926 09934 0994 1 09946 09950 0720 0740 070 0780
09699 09622 09531 09427
09794 09741 09679 09606
09843 09802 09754 09698
09872 119839 09800 09754
09892 09864 09830 09791
09906 09881 09852 09819
0991 09895 09869 09839
09924 09905 0 9882 09855
09931 0991 3 09892 09868
09936 09920 09901 09878
081)0 09308 0 9522 09633 09701 09746 09779 09804 09823 09839 09852 08~0 09173 09427 09559 09640 09695 09734 09764 09787 09806 09821 0840 0middot9023 09319 09475 09571 0 9636 09683 0 9719 0976 09769 O97S7 0860 08f1O
08857 08676
0 9200 09068
09381 09277
09494 09408
0 9570 0middot9496
09625 09561
0 9667 09610
0 9700 0961t9
09726 0 9679
09748 09704
0900 0920 0940
08lt81 08273 08053
08924 0876R 08600
09163 090)8 08903
09312 09208 09095
09415 0 9325 09227
09489 09411 09325
0954 0947 09399
09590 09521094amp
09626 09568 09501t
09656 09602 095lt3
0960 09AO
07822 07582
0842t 08234
08758 08603
08973 08842
09122 09008
09231 09130
09315 09224
09J81 0 9299
094)5 09359
09479 09409
1000 07335 08037 081t40 08702 0R886 09022 09127 09210 09278 09334 1050 1middot100 1middot150
06699 06059 Q5438
07513 06960 06398
07998 0751 9 0701 7
08321 07899 01449
0middot8550 0middot8175 0middot7768
08722 08384 08013
0885 08548 08207
0896) 08680 08365
0 9050 0middot8788 0middot8496
09U3 08879 08605
1200 04855 05845 06508 06983 0middot7341 07619 0784) 08025 08178 08307
1300 03840 0481Fl 05522 06052 06466 06798 07070 07298 07491 07656 1400 1500
0)038 02425
03944 0323
04636 03884
05192 04416
05623 04859
05987 05234
06292 0555
06552 05835
06776 06080
06971 06295
Page 132
TABLE 15 (CONTI NUEO)
XV
00600 00~41) 00650 00700 00750 00800 00900 01000 011 00 01200~ 00
0300 10000 10000 10000 10000 10000 10000 10000 1000 0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 03~0 10000 10000 10000 10000 10000 10000 10000 10g00 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000
0420 10 0000 1000t) 10000 10000 100000 10000 10000 10000 1middot0000 10000 0420 1middot0000 10000 10000 10000 10000 10000 10000 10000 0000 10000 0440 1middot0000 10000 10000 10000 1middot0000 10000 10000 10lOO middot0000 10000 04~0 0middot9999 10000 10000 10000 10000 10000 10000 10UOO 1middot0000 10000 0480 0middot9999 09999 09999 09999 0 9999 09999 09999 09999 0 9999 09999
0500 09999 09999 09999 09999 09999 09999 09999 09999 09999 09999 0520 09998 09998 09998 U9998 09998 09998 O999~ 09998 09998 09999 0540 09996 09997 09997 09997 09997 09997 09997 09998 09998 09998 0560 09995 0999~ 09995 09995 09996 09996 09996 09991 099970999 0580 09992 09993 09993 09993 09994 09994 09994 09995 09995 09995
0600 09989 09990 09990 09990 09991 09991 09992 09992 0middot9993 09993 0620 0middot9985 09986 09986 09987 09987 09988 09989 09990 09990 09991 0middot640 09979 0 9981 0middot9981 09982 0middot9983 09984 09985 0998~ 0 9987 09988 0middot660 09973 09974 09974 09976 09971 09978 09980 09981 0middot9983 09984 0middot680 09964 09966 09966 09968 0middot9970 09971 09914 09976 0middot9977 09979
0700 09954 09956 09957 09959 09961 09963 09966 09969 09971 09972 0720 09941 09944 09945 09948 0middotQ951 09953 09951 09960 09963 09965 0740 09926 09930 09930 09935 09938 09941 09946 09950 09954 09956 0760 09908 09913 09914 09919 09923 09927 099]3 0 9939 0993 09946 0780 09887 09893 09894 09900 09906 09911 09918 0 9925 09930 0993
0800 09862 09870 09871 09879 09886 09891 09901 09909 0991 5 09920 0820 09834 0984] 09845 09854 0middot9862 09869 09881 09890 0middot9898 09904 0840 09802 09813 0 98 15 9826 0middot9836 09844 09858 09870 09879 09886 0860 0middot9766 09779 09781 09795 0middot9806 09816 0 9833 09A 0middot98S7 09866 0880 0middot9726 09740 09744 09759 0middot9773 09784 098 04 094120 0middot9833 09843
0900 09681 09698 09702 09720 0973 09749 09772 09790 09805 09818 0920 09631 09650 09655 09676 09694 09710 09737 09758 0middot9775 09790 0940 09576 09s99 0960 09628 09649 09667 09698 09722 09742 09759 0960 09516 09542 09548 09575 09599 09620 0965S 09083 09706 09725 09~0 09451 09481 09487 09518 09545 09569 09609 0 964 1 09667 09689
1000 09381 09414 09422 09457 09487 09514 09558 09594 0middot962 09649 1middot050 0middot9184 09227 09237 09282 0middot9322 09357 09416 0940 0middot9503 09536 1middot100 0middot8956 09010 0middot9022 09080 0 9 130 09175 09250 0931+ 0 9362 0middot9404 1middot10 08699 08765 08780 08851 089 13 08968 09061 091 3 0middot9200 09253 1middot200 0841 8 08496 0851 4 08598 0middot8672 08738 08850 08942 0 9011 09083
1300 07800 07901 07925 08036 08135 08224 08375 0 850 1 08607 08697 1410 07143 07266 07295 074)0 Q7551 07661 07851 080 10 0middot8144 08261 1500 06481 06626 06659 06813 06953 07081 07304 07492 07655 07795
Page 133
68880 Tl880 lZL8deg0 1980 S880 19pound80 l1ZS0 alSO L20S0 S16L0 OUS1 OpoundUO OL060 deg006middot0 L1680 9188deg0 8lL80 66S8n 8aSS0 OsSO 19pound8deg0 00[ 6pound6deg0 50pound60 SZ60 pound616deg0 81160 060 556S00 Z0680 a88deg0 LUoo OOE
Spound560 60amp60 H60 ~E6deg0 08pound60 6Zpound60 LIi~60 6ZZ60 L816deg0 6pound160 OUZl 02960 L6560 69i60 iE56deg0 66deg0 pound560 Zh6deg0 ZLpound6deg0 8poundE60 86260 05tot 696deg0 9L960 CQ60 _296deg0 _656deg0 pound956deg0 poundZ56deg0 6660 ZL6deg0 060 OUt 0
85L60 5L600 8L60 80L6middot0 8960 6596deg0 82960 6deg96middot0 88560 956middot0 OOt 1860 OS60 l6L60 LLL6middot0 65L60 HoL60 8U60 OL6middot0 8896middot0 OL960 000
pound96middot0 Sa86middot0 1860 Z086middot0 98L6middot0 69L6deg0 6tL6deg0 LpoundL6deg0 tU6middot0 LOL60 086middot0 Z586middot0 86 0 -pound1260 2860 Ot96middot0 96L6middot0 8LL6middot0 89L60 9SL60 ZL6deg0 0160 69860 Z9860 551160 860 poundpound86
00 12960 S0960 96L6deg0 98L60 ELL60 060
S8860 6L8600 ZL860 9860 5860 pound860 OE860 22860 pound1860 Z0860 OZ60 66860 6860 68860 Z8860 poundL8b0 986middot0 Z586middot0 5860 8pound86deg0 6286middot0 006middot0
2166middot0 80660 E066middot0 L696middot0 0686deg0 Z886deg0 poundLe6deg0 L986deg0 09860 2586 0 0 088middotU Z66deg0 12660 LU6deg0 Z166middot0 506600 6686deg0 16860 98S60 0896deg0 L86deg0 098deg0 5pound66deg0 Zpound6600 6266deg0 266deg0 61660 166deg0 L066deg0 pound0660 ij6860 pound6860 0 08deg0 bullbull66deg0 2660 6pound66deg0 11pound660 2pound6b0 Ll660 22660 81660 t660 01660 0~90
pound5660 15660 6660 66middot0 pound66middot0 6pound660 pound66deg0 2pound66deg0 ~2660 5266middot0 0080
09660 6i660 L5660 i566deg0 25660 6660 9660 pound660 166deg0 9pound660 OtiLO L9660 99660 59660 pound9660 19660 8566deg0 55660 415660 (566middot0 6660 OJILO poundL660 2L660 0 U660 ~L660 89660 99660 9660 29660 (966deg0 65660 OtLO 9L660 L~66O LL66deg0 L660 L660 EL660 U66n OL660 89660 L9660 OZLO 2866deg0 2866
0 0 18660 0866deg0 6L66deg0 8L660 U66deg0 9~660 itL66 deg 0 U660 oOLO
98660 96660 5866deg0 l966deg 0 866deg0 pound866 00 2866 00 1866deg0 1866deg0 0866 00 0~900
6966 00 6t1660 0 9866deg0 ~86600 L866deg0 LS660 98660 911660 58660 866deg0 Oli9middot0 16660 166600 166bull0 16660 06660 066600 68660 68660 6S660 98660 090 pound6660 pound6660 pound6660 pound666middot0 pound6660 pound6660 26660 Z6660 C666middot0 1666middot0 Ol9deg0 56660 5666deg 0 -6660 6660 5666middot0 56660 666degn 416660 6660 6660 OU9deg0
96660 96660 96660 11666middot0 111666deg0 96660 9666deg0 9666deg0 9666deg0 S666middot0 O~lO L666deg0 L6660 L 6deg0 L666deg0 ~666middot0 L6660 L6660 L6660 L666middot0 L6660 osmiddoto 86660 86660 96middot0 tl666deg0 11666middot0 96660 8666middot0 8666deg0 tl666middot0 86660 050 6666deg0 66660 6666deg0 00660 66660 6666deg0 6666deg0 66660 06b60 6666deg0 o~smiddoto
6666deg0 6666deg0 66660 0666 0 66660 66660 6666deg0 66660 6666middot0 6666deg0 OOSmiddotO
66660 666600 001)01 0000deg1 6666middot0 6666middot0 6666deg0 0666middot0 tgt66600 OlJmiddotO ggggl 0000deg1 0000middot1 oooOmiddott 0000deg1 deg t 0000 01 OOOOOt 0000deg1 OOUOmiddotl OUOOmiddotl 0deg0 OOOoot 000001 001001 00001 0000deg1 00001 011001 0000middot1 0000middot1 0bullbullmiddot0 00001 ()OOOt 4000deg1 ~ 0000deg1 00001 0200 oOOot 0000deg1 000 I OUOOot 01gt00middot1 00001 0000 01 000deg1 0000deg1 0000deg1 00000( 00001 0000deg1 OOuool 00001 00deg0
OOOOt 000001 OOOOt 0000( 00001 0000deg1 00001 0000deg1 0000middot1 0000deg1 OijpoundO 0000middot1 OOOooL 0000deg1 00001 0000middot1 00001 0000middot1 0000-1 uooomiddott 0000middot 01(0 00001 0000middot t 001)01 00001 0000middot1 0000middot1 00001 00001 ~ ouOOmiddotl 0pounddeg0 0000middot1 0000deg 00001 00001 OOOOOt 0000deg1 00001 OUOOl UOOOol 0000deg O~poundU OOOOt 00001 110001 0000deg1 00001 0000deg1 0000middot1 0000middot1 0000middot1 ~ OOEmiddotO
000pound00 OS~2middot0 OOiZoO OillO OOOZmiddotO 0081deg0 0091deg0 00510 0091deg0 00pounddeg0 ~
fll(
(Q3m~UNOgt 5( 318-1
00
3Table 16 The Enthalpy and Entr opy of He Along the Solubility Curve and the Heat Absorption Rate of the Dilution Refrigerator
T Xt H3 (Xt T) S3 (Xt T) H3 (Xt T) - H3deg(T) (TmTi)Q=O
(O~) 3(Jmo1e He )
3(JoK mole He ) 3
(Jmo1e He ) T=T m
0000 0064000 00 00 00
0001 0064000 9451 x 10-5 010716 8188 x 10 -5 0365
0002 0064002 3781 x 10 -4
02143 3277x10-4 0364
0004 0064007 1 513 x 10 -3 04286 1312x10-3 0361
0006 0064016 3404 x 10-3 06427 2954 x 10 -3 0359
0008 0064029 6050 x 10-3
08567 5254 x 10-3
0357
0010 0064045 9452x10-3 10705 8214x10-3 0355
0015 006410 002125 1604 001850 0349
0020 006418 003772 2134 003288 0345
0025 006429 005881 2660 005132 0339
0030 006443 008443 3182 007377 0334
0035 006459 011448 3697 010012 0329
0040 006480 014884 4206 013028 0325
0045 006503 01873 4705 01641 0320
0050 006530 02298 5195 02014 0316
0060 006596 03257 6141 02857 0306
0070 006680 04347 7032 03813 0298
0080 006784 05549 7867 04865 0289
0090 006906 06844 8643 05995 0281
010 007042 08213 9362 07186 0274
012 007361 11122 10643 09699 0262
014 007731 1 4190 11739 1 2328 0255
016 008157 1 736 12670 1502 0250
018 008628 2058 13468 1 774 0247
020 009144 2383 14154 2046 0245
025 010618 3195 1549 2718 0245
030 012363 3988 1643 3364 0252
035 014373 4749 1710 3975 0260
040 01665 5471 1759 4 541 0271
045 01918 6150 1796 5061 0283
050 02201 6732 1822 5478 0297
055 02527 7338 1839 5916 0311
060 02908 7810 1846 6216 0326
Page 135
TABLE 17
THE HE3 CONCENTRATION SPECIFIC HEAT AND ENTROPy AT CONSTANT ~4
T III m
0000 DEGREES T m
0010 DEGREES Tm 0020 DEGREES
T X Cfgt4 53 X Cfgt4 53 X C~4 53 (K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K)
0000 006400 00000 0001)0 0001 0064011 0107C 01072 0002 006399 02144 02143 1)003 006398 03217 03215 0004 006396 04290 04288
0006 006391 06443 0middot6434 0008 006383 0860 4 08583 0010 006374 10177 10737 006404 10745 10705 0012 006362 12964 12894 006393 12925 12856 0014 006349 15168 15058 006379 15122 15013
0016 1)06333 17391 17228 006364 17339 11171 0018 006316 19637 19406 006346 19578 19348 0020 006296 21907 21592 006326 21842 21528 006418 21645 21331 0025 006238 27104 211OD 006269 27621 27019 006360 27375 26779 0030 006169 33693 32677 006199 33593 32580 006290 3middot3294 32290
0035 006088 39888 38333 006118 39770 38219 006208 39418 37880 0040 005997 46282 44074 006026 46146 43943 006116 45742 43553 0045 005896 52846 49903 005925 52693 49755 006014 52240 49314 0050 005786 59564 55816 005815 59395 55651 005903 58895 55161 0060 005541 73202 67879 005575 73009 67681 005660 72435 67092
0070 005289 86727 80182 005316 86518 79953 1105399 85892 79272 0080 005022 99790 92623 005048 99571 92365 005128 98921 91598 0090 004755 112071 105096 004780 1l185S 104812 1104856 111205 103968 0100 004494 123295 117500 004518 123082 111193 004591 122446 116281 0120 004009 141442 141746 004031 141265 141403 004098 140840 140380
0140 003585 156269 164861 003605 162838 164491 003665 161448 163389 0160 003182 164656 187486 003200 165749 187085 1103259 165830 185794 0180 002908 175207 207065 002924 172729 206659 002974 172843 205449 0200 002654 181627 225819 002669 181539 225403 002714 161273 224163 0250 002155 192703 267752 002167 192629 267319 002204 192403 266030
0300 001806 197727 303369 001817 197703 302925 001848 197634 301600 0350 0400
0middot01551 001356
201378 203670
334078 361131
001560 001364
201326 203647
333632 360677
(101586001387
201166 203580
332303 359322
0450 001203 205341 385205 001210 205319 384749 001231 205265 383393 0500 001079 207311 406925 001085 207267 406466 001104 207124 405100
0550 000977 209525 426780 000982 209480 426317 1100999 209355 424935 0600 0650
000890 000815
211960 214933
445111 4621A8
000895 000819
211917 214842
444643 461716
000910 000834
211778 214654
443252 460311
0700 000749 218847 478254 000753 218781 477774 000766 218554 476354 0750 000690 224606 493538 000694 224507 493054 1gt00706 224094 491613
0800 000635 233202 508299 000639 233033 507806 000650 232577 506334 0850 000583 247028 522826 000587 24677tJ 522321 000597 246067 520817 0900 000531 268309 537531 000535 267920 537007 000545 266765 535449 0middot950 1000
000478 000421
297390 331787
552922 569838
000481 000424
301574 333057
552370 569242
100491 000433
299752 331382
550730 567414
1100 000283 704503 614275 000286 693165 613469 000294 676812 611083 1200 000098 1738501 714579 000100 1677101 710943 000108 Itgt1J305 705365 1300 000000 000000 000000 1400 000000 000000 000000 1500 000000 000000 000000
Page 136
TABLE 17 (CONTINUED)
T m
II 0050 DEGREES T m
bull 0100 DEGREES Tm a 0200 DEGREES
T X Clo4 53 X CIlo4 53 X Cf4 53 IK) (JMOLE-K) CJMOLE-K) (JMOLE-K) (JMOLE-K) (JMULE-K) CJMOLE-KI
0050 006530 55557 51950 000000 00000 00000 000000 00000 00000 0060 006270 68655 63235 000000 00000 00000 000000 0middot0000 00000
00 70 005989 81771 74805 000000 00000 00000 000000 0middot0000 00000 0080 0middot05696 94606 86566 000000 00000 00000 0middot00000 0middot0000 00000 0090 0100
005401 005113
106847 1181A5
98424 1100281
000000 007042
00000 107161
00600 93624
000000 UOOOOO
0middot0000 00000
00000 00000
0 120 004 571 137293 133640 006307 126129 114848 000000 000000 00000
0140 004092 156793 156114 005656 146070 135676 000000 00000 00000 0 160 Ol AO
003653 003327
163652 171204
177909 197439
005061 004604
155667 164952
156134 174878
000000 000000
0middot0000 0middot0000
00000 00000
0 2 00 003037 179369 215941 004201 173821 192764 009144 164768 141542 0 250 002467 190964 257442 003412 187054 233201 u07228 179647 180039
0 3 00 002068 197137 292804 002858 194075 267968 u05973 188660 213658 0 35 0 0 4 00
(l01H6 001553
200234 202994
n34fl 350331
002453 002145
198430 201291
298213 324896
U05086 U04425
194110 197611
243173 269326
)450 001378 205010 374367 001903 203481 348720 003914 200048 292741 0500 001236 206535 396039 001708 204712 370237 003507 201931 313911
0 550 001119 208399 415799 001548 206821 389813 003175 20middot3386 333225 0600 001020 210771 414025 001412 208861 407902 002898 204920 350978 n650 000935 213497 451000 001297 210600 424690 002664 20middot6195 367435 071)0 000861 216978 466944 001196 213002 440377 002461 20middot7636 382765 0 750 000794 22191H 482076 001106 216663 455190 1102285 210191 397161
0 8 00 000733 229486 496632 001025 222308 469343 002128 212345 410815 0amp50 000675 241307 510879 000950 230723 483062 001985 217372 423801 0900 000618 2596~7 525170 000878 243589 496597 001854 223342 436408 0950 000560 288207 539953 000806 263229 510274 001729 231609 448695 1000 000498 321825 555896 000131 289821 524529 001607 244603 460892
1100 000354 580966 595964 000565 305216 557481 001358 288125 486278 1200 000162 1230201 671211 000355 1001625 606464 001079 363583 515631 1 300 000000 000078 2840930 750865 000742 115849 556015 1400 000000 000000 000317 1501686 634901 1500 000000 000000 000000
TABLE 17 (CONTINUED)
T = 0300 DEGREES T 0400 DEGREES T OIOO DEGREES m m m X CJJ4 53 X Cf4 S3 X Cf4 S3
(Kl (JMOLE-K) (JMOLE-K) (JMOLE-K) CJMOLE-K) (JMOLE-K) CJMOLE-KI
0300 012363 197721 164293 0350 010046 198066 194823 0400 008543 1988(1 221262 016650 231794 175895 0450 007456 200199 244745 013616 216682 202286 0500 006625 201422 265893 011739 209547 224585 022010 284688 182210
0550 005964 2()2486 285136 010385 207183 244405 017706 241038 207168 0600 005423 203453 302792 009340 206270 262377 015343 221874 226966 0650 004973 21)4394 319111 008499 205979 278867 013675 215281 244396 0700 004589 205386 334292 007803 206054 294129 012391 212093 260209 0750 004258 206601 348500 007214 206428 308354 011354 2100432 274773
0800 003968 208229 361883 006707 207156 321697 010490 20middot9682 288323 0S50 003710 210496 374572 006263 208357 334289 009753 209631 301028 0900 003477 213783 386691 005868 middot210216 346247 009111 210241 313024 0950 003261 218696 398373 005512 213016 357683 008544 211636 324424 1000 003058 225569 409762 005184 217007 368707 008032 213912 335333
1100 002670 248215 432273 004583 230394 389969 007127 222135 356068 1200 002275 292769 455737 004014 255243 411031 006314 237633 376018 1300 001839 370332 482695 003432 299765 433198 005531 265004 396073 1400 001329 483665 518038 002796 384167 458542 004725 313845 417432 1500 000707 1466084 577753 002064 573025 491242 003846 405955 442029
Page 137 GPO 840middot 501
Table of Contents
Page
Abstract bull viii
1 Introduction bull bull bull bull bull 1
2 Selection of a Theoretical Model 2
3 Computational Methods bull bull bull bull bull 5 3 4
3 1 Properties ot He in Liquid He bullbull 5 3 4
3 2 Properties of the Total He - He Solution 21 3 4
33 Applications to the He - He Dilution Refrigerator 25
4 Results and Discussion bull bull bullbull 37 3 4
4 1 Properties of He in Liquid He 37 3 4 _
4 2 Properties of the Total He - He Solution bull bull bull bull 44 3 4
4 3 Applications to the He - He Dilution Refrigerator 47
5 Conclusions 75
6 References bull 77
7 Appendix A Speclfic Heat ot a Fermi-Dirac Gas 81
8 Appendix B - Physical Constants and Properties of Pure 3 4
He and He 0 bull bull bull bull bull bull bull bull bull bull bull bull 0 bull 0 0 bull 0 82
9 Appendix C - The Correction of ~3 0 in the Concentrated Phase
from Regular Solution Theory 87
10 Appendix D - Tables of Thermodynamic Properties of 3 4
He - He S olutions bull bull bull bull bull bull 89
List of Figures 3 4
Figure 1 Phase Diagram of He - He Solution bull bull bull bull 4 3 4 3
Figure 2 Effective Mass Ratio of He in He as a Function of He
Concentration 8
iii
Table of Contents (continued) Page
Figure 3 The Fermi Temperature and Deviation of the Chemical
Potential from the Ideal Fermi-Dirac Value bullbullbullbullbullbull 12
Figure 4 The Difference in Chemical Potential Between the Conshy3
centrated Phase and Pure He bull 15 3
Figure 5 The Phase Separation Temperature as a Function of He
Concentration 0 bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 18 4
Figure 6 Schematic Diagram of the He 3 - He Dilution
Refrigerator bull bull bull bull bull bull bull bullbullbull 260 bull bull bull bull bull
3 4 Figure 7 The Entropy of He in Liquid He as a Function of
3 Temperature for Various He Concentrations bull 38
3 4 Figure 8 The Enthalpy of He in Liquid He as a Function of
3Temperature for Various He Concentrations bull bull 40
3 4Figure 9 The Osmotic Pressure of He in Liquid He as a Function
of Temperature for Various He 3 Concentrations bull 41 4
Figure 10 Behavior of the Excess He Chemical Potential as Deduced 4
from the Osmotic Pressure of He 3 in He 43 3 4
Figure 11 The Excess Enthalpy of He - He Solutions as a Function 3
of He Concentration for Various Temperatures 45 4
Figure 12 The Vapor Pressure of He 3 - He Solutions Divided by the 3 3
Vapor Pressure of Pure He as a Function of He Concentrashy
tion for Various Temperatures bullbullbull 46
Figure 13 The Deviation from the Ideal Differential Heat of Vaporishy3 4
zation of He - He Solutions bull bull bull 48 Figure l4a Plots of H (X p f T) H (T) and a(T T)~ = H (X T) - H (T)3 3 3 3 t 3
0
V
for Low Temperatures bull bull 49
Figure l4b Plots of H 3(X
t T) H
3(T) and OCT T)~3 for High
Tempe rature s bull bull bull 50
iv
Table of Contents (continued)
Page
Figure 15 The Ratio of Mixer Temperature to Inlet Temperature 2
for Zero Power Input and the Ratio OT as a Function 3 m
of He Concentration in the Circulated Gas 53 3 4
Figure 16 Enthalpy Inversion Curves for He - He Solutions 55
Figure 17 Concentration Profiles for Constant ~ bullbullbull 57 3 4
Figure 18 The Specific Heat of He at Constant ~4 as a Function
of Temperature for Various Mixer Temperatures 58
Figure 19 The Vapor Pressure ot the Liquid in the Still as a
Function of Still Temperature for Various Mixer
Temperatures- bullbullbullbullbullbullbullbullbullbull 59
Figure 20 The Heat of Vaporization and the Vapor Compositlon
(Neglecting Film Flow) for the Liquid in the Still bull bull 60
Figure 2la The Fraction of the Mixer Filled with Dilute Solution as
a Function of Mixer Temperature for the Case
v IV = O 5 bull bull 62 s mc
Figure 21 b The Fraction of the Mixer Filled with Dilute Solution
as a Function of Mixer Temperature for the Case
V IV = 1 bullbullbullbullbullbullbullbullbullbullbullbull 63 s mc
Figure 2lc The Fraction of the Mixer Filled wlth Dilute Solution
as a Function of Mixer Temperature for the Case
V IV = 2 bull 64 s mc
Figure 22a Comparison of Theory and Experiment for the Transient
Behavlor of the Single-Cycle Dilution Refrigerator bullbull 68 3
Figure 22b The Fractional Amount of Pure He Remaining in the
Mixer as a Function of Mixer Temperature 70
Figure 23 A Plot of the Term -(0 01T)(dS3dX)T and the Heat 3
Absorption Rate for the He Extraction Refrigerator 72
v
bull bull bull
Table 1
Table 2
Table 3
Table 4
Table 5
Table 6
Table 7
Table 8
Table 9
Table 10
Table II
Table 12
Table 13
Table 14
Table 15
Table of Contents (continued)
Page
List of Tables 3
Some Temperature Independent Propertles of He 4
in Super fluid He bull bull bull bull bull bull bull bull bull bull bull bull bull bull 9
The Phase Separation Temperature or Solubility 3 4
Curve for Dilute Solutions of He - He bullbullbull 0 bull bull bull 19
Some Physical Constants and Basic Properties of 3 4
Pure He and He Used in this Work bullbullbullbullbullbullbullbullbullbull 84 3
Thermodynamic Properties 01 Pure Liquid He
Below 10 5degK 85 4
Thermodynamic Properties of Pure Liquid He
Below I 5degK bull bull bull 86
The Solubility Curve for Concentrated Solutions of 3 4
He - He 0 bull 0 0 bull bull bull bull bull bull bull 0 bull bull bull 88
The Entropy of He3
in He4
and Its Rate of Change with
Respect to Concentration at Constant Temperature bull bull 90 3
The Chemical Potential of He middot43
in He When the He
Behaves as an Ideal Fermi Dirac Gasmiddot 97 3 4
The Enthalpy of He in He bull bull 101 3 4
The Osmotic Pressure of He in He and the expression
-[ 1l (X T)-1l O(T=O)] bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 1054 4
3 4The Specific Heat of the Total He - He Solution 112
3 4The Entropy of the Total He - He Solution bull bull bull bull lIb
3 The Enthalpy and Excess Enthalpy of the Total He shy
4 He Solutlon 120
3 4The Vapor Pressure of He - He Solutions bull 127 334
The He Concentration in the Vapor Above He - He
Solutions 0 bull bull bull bull bull bull bull 0 bull 0 0 bull bull bull 0 bull bull bull bull 131
vi
Table ot Contents (continued)
Table 16 3
The Enthalpy and Entropy 01 He Along the Solubility
Page
Curve and the Heat Abs orption Rate of the Dilution
Refrigerator 135
Table 17 3
The He Concentration Specific Heat and Entropy at
Constant 11 4
136
vii
ABSTRACT
3 4The thermodynamic properties of liquid He - He solutions beshy
tween 0 and L 5degK are calculated by using the weakly interacting Fermishy3
Dirac gas model for He in He4 Certain experimental data below about
O 4 0 K are used to evaluate s orne of the parameter s in the model The 3 4
properties of both He in He and the total solution are calculated for 3
concentrations of He up to 30 percent All experimental data agree
very well with the calculated results although little data exist below
04degK The calculated properties are used to analyze the behavior of 3 4
the He - He dilution refrigerator in both the continuous and singleshy
cycle processes The maximum heat absorption below about 004degK is 3
found to be 82 T2 joules per mole of He circulated The effect of an 4
imperfect heat exchanger and He circulation on the refrigeration
capacity is discussed An analysis of two new types of single-cycle
processes is also given
Key Words Cryogenics dilution refrigerator enthalpy entropy
Fermi-Dirac gas helium-3 helium-4 liquid mixtures
osmotic pressure quantum fluid specific heat thermoshy
dynamic properties
viii
THERMODYNAMIC PROPERTIES OF HE3 - HE4 SOLUTIONS WITH APPLICATIONS TO THE HE3- HE4
DILUTION REFRIGERATOR
Ray Radebaugh
1 bull Introduction
Early in 1966 Hall et al [1] and Neganovet al [2] independently
succeeded in achieving continuous refrigeration below O 1 0 K using a 3 4
He - He dilution refrigerator Such a refrigerator was first proposed
by London Clarke and Mendoza [ 3] Previously such temperatures
could be reached only by adiabatic demagnetization of a paramagnetic
salt although the process is not a continuous one Since the dilution
refrigerator has certain advantages over adiabatic demagnetization
researchers are rapidly turning their attention to this new technique
Several new dilution refrigerators have been built since early 1966 with
many others in the construction or planning stage Improvements are
constantly being made to these refrigerators and as a result the lowest
temperatures reached with them have steadily been reduced Vilches
and Wheatley have just recently reached O 012 OK in continuous operation
[4] and O 0045degK in transient operation [5] It should be possible to
reach even lower temperatures with this technique but further design reshy3
finements are hampered by a lack of data on the properties of the He shy4
He solutions used in the refrigerator
The purpose of this paper is to present a complete and consistent 3 4
set of data for the thermodynamic properties of liquid He - He solutions
for the temperature range 0 - 1 5 degK Such information is needed to
analyze the performance of dilution refrigerators and to help optimize
their design These data of course are also necessary to predict the 3 4
behavior of any other process which involves He - He solutions at these
temperatures Nothing will be said of the transport properties of the
solutions which are also urgently needed for the optimum design of
dilution refrigerator s
Most of the properties to be discussed in this paper have been
measured experimentally but unfortunately very few of the measureshy
ments have been done below O 5degK An excellent list of the experimenshy
tally determined properties has already been given [ 6] To this list
should be added the recent specific heat measurements of Edwards et al
[7] down to about O 1 oK and of Anderson et al [8] down to about O 004degK
The solubility curve has now been measured extensively down to about
O 02degK [9] The specific heat measurements however are not extensive
enough to permit a deduction of various thermodynamic properties as
functions of temperature and concentration down to OOK without recourse
to some theoretical model In this paper it will be shown that the thermoshy
dynamic properties of a weakly interacting Fermi-Dirac gas are in very 3 4
good agreement with all existing experimental data on He - He solutions
for temperatures below 1 50 K provided that values of certain parameters
of the model are determined from experiments Application of these
thermodynamic properties will then be made to describe the behavior of 3 4
He - He dilution refrigerators The Fermi-Dirac gas model has been
applied previously [ 4 5 10] to the analysis of the dilution refrigerator but
not to the extent of this paper In addition the previous analyses did not 3
take into account interactions between the He atoms in solutionwhich is
important for many of the properties
2 Selection of a Theoretical Model
3 4Experiments have shown that He is not miscible in He for all
3 4concentrations and temperatures The phase diagram of He - He
2
solutions shown in figure 1 indicates that for teITlperatures less than
about O 86 OK certain interITlediate concentrations are not perITlitted 3
Instead the solution separates into a concentrated He phase floating on 3
top of the heavier dilute solution At OaK it is possible to dissolve He
in He 4
up to a concentration of (64 plusmn O 1) percent [ 9] Thus at very low
teITlperatures the only concern is with dilute solutions and essentially 3
pure He Only dilute solutions will be considered here since a satisshy
factory theoretical ITlode1 has not been found for concentrated solutions
i e for concentrations greater than about 20 to 30 percent The propshy3
erties of pure He can of course be deduced directly froITl experiITlenta1
results SOITle of which extend down to the ITlillidegree region
Landau and POITleranchuk[14] were the first to propose a theoreti shy3 4
cal ITlode1 for the behavior of dilute He - He solutions According to
this theory the excitation spectruITl of the liquid is ITlodified by the addition
of noninteracting FerITli quasipartic1es equal in nUITlber to the nUITlber of 3
He atOITls The analysis was liITlited however to the nondegenerate
(high teITlperature) range where the quasipartic1es can be treated as an 3
ideal gas and thus would contribute an aITlount 32 R per ITlo1e of He
to the specific heat of the solution For teITlperatures sOITlewhat less 4
than 1 0 K the specific heat of He becoITles extreITle1y sITlall so the specifshy3
ic heat for T lt 1 deg K is due solely to the He contribution For teITlperashy
tures of about O 5degK and for concentrations less than 15 percent the
prediction of a 32 R contribution to the specific heat has been borne out
by ITleasureITlents of Edwards et al [7] Results of de Bruyn Ouboter
et al [11] above 04degK however appear to be in good agreeITlent only 3 4
in the liITlit of zero concentration This ideal gas ITlodel of He - He
solutions has been used in the past to analyze the behavior of the dilution
refriger ator [ 1 2 6 15]
3
15
~middot10
o
Ishy
~
05 o
A
Lin
e
o -
de B
ruyn
Ou
bo
ter
et
01
(J
-E
dw
ard
s e
t 01
amp
-B
rew
er
an
d K
eys
ton
PH
AS
E
SE
PA
RA
TIO
N
RE
GIO
N
04
06
08
10
02
x
3 4
Fig
ure
1
P
hase
Dia
gra
m o
f H
eH
e S
olu
tio
ns
T
he d
ata
po
ints
are
fro
m s
ev
era
l au
tho
rs
l 71
1
l2J
an
d t
he d
eta
iled
beh
av
ior
at
the in
ters
ecti
on
of
the
A a
nd
ph
ase
sep
ara
tio
n
lin
es
is f
rom
th
e w
ork
of
Gra
f et
al
L
13
]
For temperatures approaching OOK the 32 R term must disappear
according to the third law of therrrlodynamics Measurements l 7 8] show
that the specific heat begins to drop at about O 2 to O 5degK (depending on
concentration) and becomes proportional to T for much lower temperatures
Since the dilution refrigerator usually operates below 01 degK the ideal
gas model can not be relied upon to give a satisfactory explanation of the
behavior of a dilution refrigerator
Edwards et al [7] showed that their specific heat data were fit 3
very well at all temperatures by treating the He as a Fermi-Dirac gas 3
with an effective mass m~~ of 2 5 times the mass of a He atom
Anderson et aL [8] also found that the same model would fit their data
within experimental error but with the values 2 38 and 246 for mm3
in 1 32 percent and 5 02 percent solutions respectively The data of
Anderson et al extended well into the degenerate region of the Fermishy
Dirac gas where the specific heat is proportional to both mm and T3
Thus the Fermi-Dirac gas model shows excellent promise for predicting 3 3 4
the thermodynamic properties of He in liquid He - He solutions at all
temperatures
The variation of mm with concentration can be accounted for by3
3conSidering weak interactions between the He atoms Doing so however
does not change the specific heat from that of a noninteracting Fermishy
Dirac gas with the same mm [ 16] It will be shown that the behavior3
of the solubility curve also requires that interactions be introduced 3 4
Thus in this note the thermodynamic properties of He - He solutions
are derived from the weakly interacting Fermi-Dirac gas model
3 Computational Methods
3 43 1 Properties of He in Liquid He
The behavior of the interparticle interaction and its effects must
be evaluated before calculations of thermodynamic properties can be
5
made Bardeen Baym and Pines [17] (BBP) assumed the interaction 3
between two He atoms separated by a distance r is spin velocity and
concentration independent and weak Their interaction is written in
terms of the Fourier transform V(k) by
J V(r ) = V (i~) e i kmiddot r dk (1)
3(21T)
where k is the wave vector For an isotropic systemV(k) = V(k) The
effective mass m~ is then given as [ 17]
m = 1 +1 F S = 1 _ N(O) J2kf V(k) k (1 _ L) dk (2) m 2 23 1 2k 0 2 k o
f f
where m is the value of m at zero concentration o
2 2 (3)N(O) = m k 21T tlf
is the density of energy states at the Fermi surface for one spin orientashy
tion and k is the magnitude of the Fermi wave vector The dependencef
of k on concentration is shown by the relationf
2 2k = (31T n3)13 = (31T NAv)13 (4)f
3where n3 is the number density of He atoms in solution NA is
Avogadros number and v is the volume of solution containing one mole 3
of He The expression
233 v=V X=2758X+760+165X cm moleHe (5)
m
3where V is the molar volume of the solution and X is the He concenshy
m
tration will be used throughout these calculations Equation (5) agrees
6
with experimental data [ 9 18] to within O 3 percent for concentrations
less than X = O 3 and all temperatures less than 1 5degK The value 3 4
27 58 cm mole is the molar volume of pure He between 0 and 1 5degK
To calculate m from (2) knowledge of V(k) is necessary The
simple two-parameter form used by BBP to fit spin-diffusion results
[8] is given by
V(k) = V cos (13k) (6)o
o 2 -38 3with 13 = 316 A and V0 = -00754 m s n = -1 303 x 10 ergs cm
4 44
where m 4 is the mass of the He atom s is the velocity of first sound in 4 4
He at T = 0 and n 4 is the number density of pure He at T O Ebner
[19] recently extended these calculations for V (k) to higher concentrations
and used the form
(7)
where V is the same as that used by BBP and the other parameters are o
C = 40752 C = 00564 (8 ) 2 3
The form of V(k) given in (6) is limited to concentrations less than 5 pershy
cent whereas the form in (7) is valid for concentrations even higher than
30 percent Ebner states however that V(k) in (7) may contain some
10 --15 percent error Both forms for V(k) were used in (2) to solve for
mm assuming mom3 = 234 as suggested by BBP Figure 2 shows3
the calculated concentration dependence of mm compared with four3
experimental points from specific heat data Both curves give good agreeshy
ment with experiment but since Ebners form of V(k) is valid for higher
concentrations mm obtained by using his form of V(k) will be adopted3
here These values of mm are also listed in Table 1 along with k3 f
and the Fermi temperature T f given by
7
23~--_
____
____
____
_~__
____
____
____
__L
__
__
__
__
__
__
__
_~
__
__
__
__
__
__
__
__~
__
__
__
__
__
__
__~
o 0
05
010
0
15
02
0
025
x
3
4 3
Fig
ure
2
Eff
ecti
ve M
ass
Rati
o o
f H
e in
He
as
a F
un
cti
on
of
He
Co
ncen
trati
on
TABLE 1
SOME TEMPERATURE INDEPENDENT PROPERTIES OF HE3 IN SUPERFLUID HE4
X 10-7 kf
-1(em )
T f (OK)
11=
m 1m3
-(1l3 + L 3 deg)R
(OK)
00000 000000 0000000 234000 0258728 00001 040136 0005535 234046 0258841 0middot0002 050567 00087B4 234092 0258956 0middot0005 068628 0016171 234225 0259310 00010 086462 0025643 234442 0259920
00020 108926 0040627 234857 0261201 0middot0030 124677 0053137 235253 0262544 00040 137213 0064255 235633 0263940 0middot0050 147794 0074432 236000 0265382 00060 157041 0083910 236355 0266865
0U080 172814 0101322 237033 0269938 0middot0100 186124 0117214 237674 0273139 0middot0150 212961 0152510 239145 0281601 0middot0200 234287 0183572 240462 0290600 0middot0250 252263 0211771 241656 0300U32
00300 267947 0237848 242748 0309825 0middotU350 281946 0262265 243753 031 99 26 0middot0400 294645 0285332 244684 0330293 00450 306304 0307272 245550 0340892 00500 317109 0328251 246359 0351698
00550 327197 0348395 247117 0362685 0middot0600 336673 0367807 247830 0373837 0middot0640 343870 0382864 248371 0382864 0middot0650 345620 0386567 248502 0385135 0middot0700 354104 0404742 249138 0396565
00750 362178 0422388 249742 0408115 0U8 OO 369887 0439551 250315 041 9775 00900 384352 0472586 251381 0443382 01000 397732 0504107 252357 0467321 01100 410202 0534310 253255 0491539
0-1200 421894 0563353 254088 0515992 01300 432914 0591359 254864 0540643 01400 443344 0618430 255592 0565461 01500 453252 0644651 256278 0590420 01600 462694 0670092 256927 0615498
01800 480362 0718869 258133 066t934 02000 496644 0765151 259239 0716639 02250 515379 0819942 260512 0780246 02500 532610 0871743 261690 0843959 02750 548575 0920896 262796 0907654
03000 563456 0967674 263844 0971234 03500 590503 1054946 265810 1097725 04000 614589 1134915 267648 1222900 04500 636280 1208563 269392 1346348 05000 655978 1276633 271062 1467729
Page 9
2 2 23T h k 2 K m 54 890(v m~~m) oK
f f 3 (9)
where K is Boltzmann I s constant
Stoner [20] has evaluated the specific heat C of a Fermi-Dirac v
gas for all temperatures as a function of the ratio TITr Since he gives
only tabulated results for the intermediate temperature range a power
series expression was fit to his data to facilitate calculations of thermoshy
dynamic properties The details of this power series fit are given in 3 4
Appendix A The specific heat and entropy of dilute He - He solutions
can now be calculated as functions of temperature and concentration
However to proceed with calculations of enthalpy chemical
potential osmotic pressure and other related properties the deviation 3
of the chemical potential of He in solution from that of an ideal Fermishy
Dirac gas must be found There will be a considerable deviation because 3
of the presence of a binding energy and the interaction between He atoms 3
The chemical potential of He in solution can be written as
1 (X T) 1 (X T) + 1 1 (X T)3 f 3 (10)
where 1 is the chemical potential of the ideal Fermi-Dirac gas with effecshyf
tive mass m and is given by T
J H - TS 53 U - TS R T + 53 Jr C dTf f f f f f v
o
T - T J (CvT) dT (11 )
o
In this equation H Sf and U are the molar enthalpy entropy andf f
internal ener gy of the ideal Fermi-Dirac gas and R is the gas constant
Since C has been expressed as a power series in T the integrations v
can be easily carried out with the aid of a computer
10
3
The term 1 13 can be evaluated from the expe rimental data for the
dilute solubility curve and then compared with theoretical re sults for 1 1 bull
The experimental values of 13 are found by making use of the fact that 3
in a phase separated solution the chemical potential of He must be the
same in both the dilute and concentrated phases If at first it is conshy3
sidered that the concentrated phase is pure He then
(12 )
where Xt denotes the concentration of the dilute phase on the solubility
curve
rT T 1 deg = - L3 deg + J C deg dT - T J (C degIT) dT
3 3 3 o 0 (13 )
3is the chemical potential of pure He and L3 deg is the molar heat of vaporshy
lzahon 0 f He 3 OOKpure at T = bull The quantity 1 deg + L3 deg is calculated3
3using values for the properties of pure He given in Appendix B The
term 1X T) in (12) is evaluated using (11) at each data point [79]t
for the solubility curve By combining (12) and (13)values for 13 (X T)t
+ L3 deg can be determined The results of such calculations are shown in
figure 3 Also in figure 3 are shown curves for T f from (9) and a theoretshy
ical result for 113 + L3 deg which will be discussed shortly From (11) (12)
and (13) it is obvious that (-11 3 - L3 deg)R = T f for T = 0 0 K and the conshy3 4
centration at which this occurs is the limiting solubility of He in He at
T = OOK
The theoretical behavior of 1 using V(k) has been discussed by3
BBP and Ebner However bull their definition of 13 is slightly different than
that used here The difference is that they use the effective mass m inshyo
stead of m in evaluating I1 in (l0) The theoretical expression given byf
BBP for their 1-13 r at T = OOK is
11
08
1
06
o ~ 0
4
I-
N
02
o
TH
IS
WO
RK
0CD
l G
I
LO
o -P
3 -
3
R
0-
Ifff
e
f 01
EX
PE
RIM
EN
TA
L
a _
Ed
wa
rds
tit
01
I L
0-P
3-
3
R
005
0
10
015
0
20
0
25
x F
igu
re 3
T
he
Ferm
i T
em
pera
ture
an
d D
ev
iati
on
of
the C
hem
ical
Po
ten
tial
fro
m t
he I
deal
Ferm
i -D
irac V
alu
e
2 NA J2kf 2 k =Eo + (N Iv) V(O) - -2 k (1 - 2k ) V(k) dk (14)A 41T 0 f
where E is the binding energy and is independent of concentration The o
second and third terms on the right side of (14) are the Hartree and exshy
change corrections to ~3 To be consistent with the theory of BBP and
Ebner the ~31 defined by (10) and used here should contain an additional
term equal to the difference between ~f evaluated at mo and m However
when this additional term is neglected the theoretical ~31 from (14) fits
experimental data very well even for temperatures up to O 6degK as will be
shown very shortly Inclusion of the additional term requires ~3 to be
temperature dependent to give agreement with experimental values at
finite temperatures This temperature dependence has been worked out
by Ebner only for the high and low temperature limits Since the primary
purpose of this paper is to find a model which can be used to fit experishy
mental data over a wide range of temperature and concentration the
additional term in (14) required by rigorous theory will not be considered
in this paper Equation (14) was evaluated numerically using Ebners
form of V(k) The quantity Eo + L3 deg is found from a best fit of the
theoretical ~3 + L3 deg to the data points in figure 3 Only the data for
X lt O 075 were considered for the fit since it will be shown that the data
at higher concentrations and temperatures require some correction
From this fit it is found that
(15)
and that
X t (T = O) = O 0640 (16)
13
J
is the limiting solubility of He3
in He4
at T = 0deg K fft et al t 9] report
a slightly different value of O 0637 for X t (T = O) from a T2 extrapolation
of their data The theoretical result for J t is given in Table 1 in addition3
to being shown in figure 3 Including the additional term in (14) would
yield the result O 282 degK for (1S) which agrees with the value given by
fft et al l 9] The uncertainty in V(k) however is such that the difshy
ference in the two results for (-Eo - L3 deg )R is inconsequential [19 21]
The discrepancy between experimental and theoretical values for
1 r at higher concentrations can be completely explained by correcting 1 03 3
4used in (12) to account for the presence of a small amount of He in the
concentrated phase This correction then changes the experimental values
tor J The term 1c which must be added to tl3 deg to give the chemical poshy3
tential of the concentrated phase was actually found by forcing the experishy
mental data for tl3 + L3 deg in figure 3 to agree with the theoretical result
shown in the same figure This correction term J is shown in figure 4 as c
a function of temperature For temperatures above O 4deg K this curve was
deduced from a smoothly drawn phase separation line bridging the gap beshy
tween the low and high temperature data shown in figure 1 Figure 4 comshy
pares this calculated behavior of 1 with two other results for J One of c c
these other results is based on the experimental work of de Bruyn Ouboter
et al lll] for the thermodynamic properties of concentrated solutions
down to about 04deg K The term 1 is calculated from their data by the c
relation IOGt)
- G t + (1 - X ) oX (17)1c - u X=X
u
where X is the concentration of the concentrated phase and G t is taken u
to be
G t = G -l X 1 deg + (1 - X) 1 0]3 4
= X (13 - 1 deg) + (1 - X) (14 - J deg) (18)3 4
14
I I
I I
I
08~------~------~------~-------r------~------~~~
CD-0 E
rn CD
1 0
-gt
0 =l I
--8-- de Bruyn Ouboter et 01
---0-- This Work
--- Regulor Solution Theory
06 I I
I I
I I
I
I fI
I I04
I I
I
I I
02
o 02 04 06
Figure 4 The Difference in Chemical 130tential Between the Conshycentrated Phase and Pure He bull
15
with G as the Gibbs free energy and -1 - -1 0 the difference in chemical4 4
potential between He4
in solution and pure He 4 The term (oGt joX)X=X u
is very difficult to evaluate from the experimental data but appears to
be fairly small For a first approximation that term is chosen to be zero
which then leaves -1 = G i A better approximation can be made Since c
the terms 1J and J must be the same in both the dilute and concentrated 3 4
phases the term oGtjoX must also be the same in both phases The
theoretical behavior of -1 - -1 0 and -1 - -1 (to be calculated later) in3 3 4 4
0
the dilute phase can be used to find oGtjoX This then results in a
negative value for oGi oX and makes -1 less than Gt The difference c
though is only significant above about O4degK but is still less than the
experimental uncertainty and so it is not shown in figure 4 The other
curve shown for comparison in this figure results from assuming that
the solutions behave as a regular solution This assumption should give
reasonable results in the concentrated phase at least for the higher temshy
peratures The details of the calculation for -1 from the regular solution c
theory are given in Appendix C where the concentration X as a function of u
temperature is listed in Table 6 It is evident from the curve shown in
figure 4 that the behavior of -1 which results in an exact agreement of c
experimental and theoretical -1 + L3 0 can be considered to be consistent3
with all other estimates of its behavior although possibly too high around
O 2 OK In other words the theoretical -1 I agrees with experimental data3
along the solubility curve within experimental error and no temperature
dependence of -1 f is necessary to give this agreement even for temperashy3
tures as high as O6degK Of course a small temperature dependence is
still possible in view of the fairly large uncertainty in -1c but -1 I is3
assumed to be independent of T in all of the present calculations In any
case a small temperature-dependent term would have very little effect on
most of the thermodynamic properties at all but the lowest temperatures
since -1 I contributes significantly to these properties only at low temperashy3
tures
16
By using the theoretical behavior of JI t and ~c (11) and (12) can3
be used to derive the theoretical phase separation teInperature as a
function of concentration This calculation is just the reverse of the
case where the experiInental 1-13 I was deduced froIn the experiInental
phase separation teInperature The results for the theoretical phase
separation teInperature are shown in figure 5 along with experiInental
values l 7 9] and are listed in Table 2 To sUInInarize the behavior of
the weakly interacting FerIni-Dirac gas Inodel using Ebners expression
for V(k) which was deduced froIn spin diffusion predicts an In(X)In3
in agreeInent with experiInent These values of In(X)In are used in3
the specific heat of a FerIni-Dirac gas which then correctly predicts 3 4
specific heat of He in He at all teInperatures In addition this Inodel
gives the correct concentration dependence of the phase separation
teInperature
The present definitions (10) and (13) for 1-13 and 1-13 deg result in large
negative values for these terInS at T = OOK due to the quantity L3 o In
addition any uncertainty associated with L3 deg appears in 1-13 and 1-1 0 The3
bull
absolute value of cheInical potential in any systeIn is arbitrary and it
Inakes nUInerical cOInputations siInpler if JI and JI are changed by a3 3
0
constant valu~ The terIns JI3
and JI deg are now redefined by adding L3 deg 3
to the right sides of (10) and (13) The new definitions then becoIne
JI3 (X T) =JI (X T) + JI3
I (X) + L3 deg (10)f
and
T
1-13 deg (T) = JT
C3deg dT - T J (C degT) dT3 o o
(13 )
17
04 bull
03
f- t shy
02
01
c
o 1fft et 01
EXPERIMENTAL C pounddttords et 01
O~~---L----~----~----~----~----~----~----~----~ O~ 008 010 012 014
X 3
Figure 5 The Phase Separation Temperature as a Function of He Concentration
18
Table 2
The Phase Separation Temperature or Solubility Curve for Dilute Solutions of He3 - He 4
X T X T (OK) (OK)
006400 00 0090 o 1946
006404 000946 0095 02129
00641 001486 010 O 2301
00642 00208 O 11 02616
00643 O 0253 O 12 02902
00645 00323 013 03166
00647 00377 014 03412
0065 00445 015 03644
0066 00606 016 03863
0067 00721 017 04072
0068 00817 018 04272
0070 00970 020 04647
0072 01102 0225 O 5075
0074 01223 025 05460
0078 O 1436 0275 O 5809
0082 01618 030 06097
0086 01789
19
where 1-1 t 3 is now shown as a function of X only The term 1-13 0 now beshy3
comes zero at T = 0 oK The entropy and enthalpy of He in He40 are
taken as
T [ _ S3(X T) = Sf (X T) = J C (X T)TJ dT (19)v
o
H (X T) =1-13 (X T) + TS (X T) = 1-13 (X) + L3deg + H (X T)3 3 f
T
= 1-113 (X) + L 3 0 +RTf + (53) J C v (X T) d T (20) o
3 4The osmotic pressure n of He in liquid He can be determined
from the relation
n V = - (1-1 - 1-1 0 ) (21)4 4 4
which follows from altering an equation given by London et al [3] In
(21) the term V =V -X oV lox = 27 58 - 3 30 X3 cm3mole is the4 m m
4partial molar volume of He in solution and is only slightly different than
4V 4 0 The right side of (21) is the difference in the He chemical potentialbull
4 4between He in solution and pure He and is easily evaluated from the
Gibbs-Duhem equation for constant temperature and pressure
dl-13 dl-14 (22)X - + (1 - X) - =0
dX dX
In integral form (22) becomes
XJ X (23)1-14 - 1-14 o -- - 1 _ X dl-13 o
20
which upon substitution into (20) yields
(24)
The integral is easily evaluated numerically since J is known as a3
function of X from (lot)
3 4 32 Properties of the Total He - He Solution
Up to now consideration has been given only to the thermodynamic 3 4properties of He in liquid He and not those of the total solution Howshy
3 ever in the case of the He - He
4 dilu~ion refrigerator operating in a 3
steady state the He contribution is all that is needed Ideally in this 3 4
refrigerator He diffuses through a stationary column of He so that the 4
He contribution is not needed for thermodynamic calculations For the
transient behavior of the dilution refrigerator or any other process where
the bulk liquid is involvedthe thermodynamic properties of the total
solution are needed The total specific heat and entropy are taken as [ 14]
(25)
(26)
where C 4 0 and S 4 0 are the specific heat and entropy of pure He4 Equashy
tions (25) and (26) are good approximations only for temperatures not too
close to the A point since the A point changes with concentration (see
fig 1) Below 1 0 K however C deg is very much smaller than C so the4 v
approximation is certainly good up to X = 03 for these temperatures At
1 5 D K the results for C from (25) begin to deviate considerably from
experiment [11] for X much above O 1
21
The enthalpy H (same as the internal energy U for the low temshy
peratures and pressures of interest here) can be calculated in three
different ways Unfortunately the results are not exactly the same in
each case The first method makes use of the relation
H = G + TS = X ~3 + (1 - X) ~4 + TS
= X H + (1 - X) (~ - ~ 0) + (1 - X) H 0 bull (27)3 4 4 4
To be consistent with (lOt) and (13 1)
rT H a = leo dT
3 J 3 (28) o
T H 0 = - L + L 0 +J C 0 dT (29 )
4 4 0
3 4 o
4where L 4 a is the heat of vaporization of pure He at 0 0 K The second
method uses
T H = Ho +J C dT (30)
o
0 0where H is the value of (27) at T = K The third method which is o
somewhat of a combination of the first two replaces H in (30) for o
X gt O 064 with the value of (27) on the phase separation curve instead of
at oaK The lower limit of the integral is also replaced by the phase
separation temperature The results obtained by this third method should
be a good compromise except for the fact that curves of H versus X for
constant T will have an abrupt change in slope at X = O 064 which would
be unrealistic The second method was chosen for these calculations
and will give the same results as the third method for X S 0064 Since
the theoretical behavior of C agrees so well with experimentthe resulting
22
values of H should be quite accurate at least for X s O 064 The second
method eliminates the abrupt change in slope at X = O 064but the result
for H above this concentration may not be quite so accurate The first
method suffers from the disadvantage that it relies entirely on the theoshy
retical behavior of ~3 and ~4 both of which are more uncertain than the
calculated C The difference in H caused by using the various methods
is only a few parts per thousand This difference is greatly magnified
however when the excess enthalpy
(31 )
is considered The first method can give values for HE which are 15 to
20 percent higher than the second method for large values of X This
difference is due mainly to a temperature dependence of -1 that is not 4
quite consistent with properties such as specific heat Possibly a small
temperature dependent term in ~3 I might correct this inconsistency
From (31) and (27) it is easy to see that at T = OOK HE is just (1 - X)
3 4The vapor pres sure of He - He solutions is found from a trial
and error solution of the equation
J
(32)
3where X is the He molar concentration in the vapor P3 deg is the vapor
3 pressur of pure He and the Bs are the second virial coefficients for
3 4 He and He from the work of Kilpatrick et al [22] Equation (32)
follows from a combination of expressions given by de Bruyn Ouboter
et al [23] A very good approximation for X at least for temperaturesv
23
above about O 5degK can be found from the theory of regular solutions In
this case [ 23]
X (1 - X) p 0 v
p 3 0 exp [ (W RT)(l- 2X)] (33 )
X (1 - X ) shyv 4
where p 0 = p deg exp (B p degRT) is the fugacity of the component i and W 1 1 11 1
is a constant taken to be WR = 1 37degK [24] The results of (33) for X v
are substituted into (32) to find p
The heat of vaporization of a binary solution can be treated as
either integral or differential depending on the conditions of vaporization
[ 25] When a quantity of liquid solution is completely vaporized so the
initial liquid concentration and final gas concentration are equal the
integral heat of vaporization is absorbed in the process This integral
heat of vaporization is ApX if the process is done at constant pressureand
A if done at constant temperature For the low pressures dealt withTX
here the gas phase can be treated as ideal and thus the enthalpy in both
the liquid and gas phase are independent of pressure The integral heats
of vaporization can then be written as
ApX + R(T - TI) = A =XL deg(T) + (I-X) L deg(T) - ~(X T)TX 3 4 (34)
where T is the final temperature in the constant pressure process and 3 4
L3 deg (T) and L deg(T) are the heats of vaporization of pure He and He at4
the temperature T The term -~ gives the deviation from the ideal
heat of vaporization and is just the negative of the excess enthalpy
If a mole of gas is formed from an infinite reservoir of liquidthe
heat absorbed is Avt the differential heat of vaporization In this proshy
cess the gas and liquid phase concentrations are different From the
work of Ruhemann [25]
24
E r E ( ) (X _ X) 0 H (X T) (35)+L-H X T - v oX J
The term in brackets gives the deviation from the ideal differential heat
of vaporization and will be denoted as AE vt
3 43 3 Applications to the He - He Dilution Refrigerator
A schematic diagram of the He3
- He4
dilution refrig~rator is 3
shown in figure 6 Nearly pure He gas leaves the vacuum pump at a 4
pressure of about 30 torr and passes through a pumped He bath which 3
condenses the He bull After passing through a flow limiting capillary the 3
liquid He is cooled by passing through the still and the heat exchanger 3
The pure He liquid enters the mixing chamber or mixer where it 3 4
floats on top of and is in equilibrium with a dilute solution of He in He bull 3
For very low temperatures the dilute solution contains 64 percent He bull
This 64 percent solution communicates with the solution in the still via
the return line in the heat exchanger For the solution in this return line to
be in mechanical equilibrium the chemical potential jJ4 must be the same
throughout the tube Since the te~perature of the still is higher than the
mixing chamber the concentration of the solution decreases as it apshy
proaches the still From results to be given later the concentration in
the still is about I percent for T 5 = o 6 0 K where T 5 is the still tempershy3
ature As this liquid vaporizes in the still nearly pure He is removed
from the solution provided of course superfluid film flow is greatly 3
restricted To complete the cycle the He gas is compressed to about
30 torr at room temperature and returned to the condenser As the conshy3
centration in the still is lowered He will diffuse from the 6 4 percent
solution in the mixing chamber through the heat exchanger to the still
25
He4
~J--~~
He4 -I He3
He3 VACUUM PUMP - 300 OK
CONDENSER 08 -12 OK
CAPILLARY
STILL 06-07 oK
HEAT EXCHANGER
MIXING CHAMBER
He4 shy QOI-QsoK 64 He3
He3
3 4Figure 6 SChematic Diagram of the He - He Dilution Refrigerator
26
3To preserve equilibrium in the mixing chamber He must pass from the
upper rich phase to the lower dilute phase to maintain a 64 percent conshy3
centration in the latter In so doing the He absorbs heat if the temperashy3
ture is kept constant As the He dIffuses through the nearly stationary 4 3
column of He in the heat exchanger it cools the incoming pure He
stream in the heat exchanger A thermodynamic analysis of the dilution 3 4
refrigerator in a steady state uses only the properties of the He in He 4
since the He is stationary in the ideal case
The heat absorption rate of the dilution refrigerator is of fundashy
mental importance to those interested in the capabilities First consider 3
the case where only pure He is circulated by the pump By treating the mixer as an open thermodynamic system this heat absorption rate Q in
the steady state at a temperature T can immediately be written as an
enthalpy difference
(36)
3where n 3 is the molar circulation rate of He the first term on the right
3 4is the enthalpy of He in He along the lower or dilute solubility curve
3and H3cT ) is the enthalpy of He in the incoming concentrated stream
i at temperature T When the mixer temperature is below about O 2 0 K
1 3
the concentrated phase is nearly pure He and so the incoming stream 3 c
must also be nearly pure He bull Thus H3 becomes equal to H deg Howshy3
ever at higher temperatures the concentrated phase in the mixer will 4 4
contain a certain amount of He It is possible for this He to diffuse up 3
the incoming He stream to cause some dilution above the mixer To
calculate the heat absorption in the mixer the concentration of the stream
just as it leaves the last heat exchanger must be known If the velocity of 3 4
the incoming He stream is high enough He will be prevented from
27
diffusing up as high as the heat exchanger E~pressed analytically the 3 bull
stream leaving the heat exchanger will be pure He for n3 LVmDA raquo 1
whereas for ~ 3 LVmDA laquo 1 the stream will have the same composition
as the concentrated phase in the mixer In this expression L is the
length of tubing from the last heat exchanger to the mixer V is the m
molar volume of the incoming stream D is the diffusion coefficient of 4 3
He in He and A is the cross-sectional area of the tube In practice
something between the two extremes most likely will occur The enthalpy
3 l H 4 h d I 1o f He 1n a so utlon conta 1n1ng some e 1S rat er uncerta1n an so 1tt e 4
can be said about the heat absorption in the extreme where the He easily
diffuses up to the heat exchanger However from the work of de Bruyn 3
Ouboter et ale [11] it looks as though the enthalpy of He in the incoming
stream at about O 6degK will be on the order of 10 percent higher than H3 o
The difference between H3 c and H3 deg decreases to zero at about O 2 deg K
Equation (36) should be very accurate when H3c can be taken as
H3 deg since H3 is known very well along the solubility curve Though in
principle H3 (X T) can be found from (20)an alternative method fort
temperatures of O 1 deg K and below has been chosen If the incoming pure 3
He stream is at the same temperature as the dilute solution then the
process is reversible The heat absorption is then given as
Qr(T)~3 == T[8 (X T) -8 deg(T)] (37)3 t 3
from which it follows that
H 3 (Xt T) == Qr(T)n 3 + H3deg(T) == T[ 8 (X T) -8 deg(T)] + H deg(T)
3 t 3 3
(38)
Values of H3 and 8 along the solubility curve are obtained by second3
order interpolation in tables of H3 and 8 as functions of X and T Howshy3
ever interpolation in the 8 table is much more precise than that of the3
28
H 3 table for temperature of O 1 oK and below This is because J r + L3 deg 3
and RTf in H3 are very large numbers which cancel each other exactly
at OOK on the solubility curve Their resulting contribution to H3 slightly
above OOK on the solubility curve is subject to considerable error unless
both terms are evaluated to a great number of places Thus H3 (X-t T)
is evaluated from (38) for temperatures of O 1 OK and below Above T
O lOK (53)I C dT is the dominating term in H3 and so H3 (Xf T) is V
oaccurately obtained by interpolation in the H3 table Values for H3 deg (T )
iare taken from Appendix B
4In the case where the gas circulated contains some He the calshy
culation of heat absorption can become very complex especially at temshy
peratures above about O 2 OK Since operation of the refrigerator above
this temperature is of limited interest analysis of the heat absorption at
these temperatures will not be made Below about 02 OK the amount of 3
pure He available for refrigeration is reduced to
(39)
where X t is the concentration of the dilute phase at the temperature T i 3
n is the number of moles of gas mixture circulated and X is the He conshy
centration in the circulated gas The dilute solution already separated
out at T will contain 1
( 1 - X)n 3t =nXt 1 - X (40)t
3 4moles of He bull Neglecting the very small He contribution the heat absorpshy
tion rate in the mixer per mole of gas m~ circulated can be written as
29
middot Q(TT) 1 r X - X t ) 1 - X J
o = X H3 (XtT) -L(l _ X H3deg (Ti)+X 1 _ X )H3 (X Ti )n t tA A
(41 )
where all the X t inside the brackets must be evaluated at T i
For low flow impedences in the dilute stream between the mixer
and stillthe solution will be in mechanical equilibrium throughout its length
This equilibrium condition is expressed by ~4 = constant and from (21 )this
implies that the osmotic pressure must be constant at least for low
temperatures where d~4 deg dT is extremely small and for low concentrashygt
tions where V 4 is nearly constant At higher temperatures (T O 5degK)rJ
the change of ~ 4 deg with temperature must be taken into account When
this is done the condition ~4 = constant then is equivalent to IT + p f =
constant for small X where IT is the osmotic pressure and P is thef
4fountain pressure of pure He defined and calculated from (80) in Appenshy
dix B For high concentrations the condition IT + p f = constant does not
hold exactly since V 4 in (21) changes slightly with concentration However
the difference in V 4 between X = 0 and X = O 3 is only O 3 percent Given
a temperature and concentration in the mixer the concentration anywhere
in the heat exchanger or still may be found from curves of the osmotic plus
fountain pressure or to be exact curves of ~4 In practice a small 3
gradient in the osmotic pres sure must exist to drive the He through the
heat exchanger and may not always be negligible The calculated conshy
centration in the still then represents an upper limit and the deviation
from this value can be found if the flow impedance of the heat exchanger
is knowno Fourth order interpolations can be carried out in a table of
~4 to find the concentration as a function of temperature Once the conshy3
centration in the heat exchanger is known the entropy of He anywhere
along it is easily found from fourth order interpolation in the S 3 table 3
The specific heat of the He at constant ~ designated as C is then 4 ~4
30
given as 08
1 3 ) (42)CjJ = T ~ aT
4 1-L4= const
The differentiation of S 3 is carried out after fitting the data for S 3 at
constant 114 with a third order polynominal in T It should be obvious
that C will be a function of the mixer temperature as well as the local ~4
temperature since the former determines the osmotic pres sure in the
system
The vapor pres sure and vapor concentration in the still as a
function of both still and mixer temperature can be easily found from
interpolation in the p and X tables using values of X in the still as detershyv
mined from the condition 114 = constant in the dilute stream The heat QS
required to vaporize a mole of liquid in the still has contributions from 3 4
both the He and the He vaporized Because of the large heat of vaporishy
zation of He4 this contribution which is given by (1 - Xv) L deg(T) can4
3 not be neglected The He contribution is Xv L (T) where L (T) is just
3 33
the difference between the enthalpy of He in the saturated vapor and in 3
the dilute liquid The He vapor enthalpy can be written as H3 deg (T)
+ L deg(T) From this it immediately follows that3
(43)
where
(44)
is the deviation from the ideal heat of vaporization and n is the gas flow rate
The interface between the dilute and concentrated solutions must
remain in the mixing chamber if the refrigerator is to operate properly
Thus it is important to examine just where this interface will be for all
31
possible sets of conditions The assumption is made at this point that
the liquid volumes in the heat exchanger and condenser are negligible
compared with the volume of both the still and mixing chamber The
volume of the still containing liquid immediately after the initial filling
and before circulation begins is written as
v = r V (45)s mc
where V is the total volume of liquid in the mixing chamber If the mc
whole system is filled initially with n moles of solution at a concentration
of X then the initial volume of liquid is o
o n V = V + V = V (1 + r) (46)
m mc s mc
where V 0 is the molar volume V of the solution from (5) for a con-m m
centration of X During operation of the refrigerator phase separationo
occurs in the mixer and h is the fraction of mixer volume occupied bym
the dilute solution The total volume of solution during operation will be
different than the initial volume which then results in a change in liquid
level in the still Let the ratio of present to initial volume of liquid in
the still be h Both hand h are found from a solution of the simultashys m s
neous equations
(1 - h ) V X Iv u + h V X p Iv t + h r V X Iv s = nX m mc u m m mc V m s mc s m 0
(47)
(1 - h ) V Iv u + h V Iv t + h r V Iv s = n m mc m m mc m s mc m
(48)
where the subscripts and superscripts u t and s on X and V refer to m
the concentration and molar volume in the upper concentrated phase of
the mixer in the lower dilute phase of the mixer and in the still The
32
3first equation represents the total number of moles of He in the system
and the second gives the total moles of solution Substituting (46) into
these two equations yields
rX (1 + r) X XXt Xu s o u ( - --) h + h =----shy (49)
s s o uV t V u m V V V m m m m m
h = (1 + r) 1 (50)
s s o u V V
m m
after rearranging The values used for X are given in Appendix C u
Problems associated with the heat exchanger can be eliminated by
operating the refrigerator in a single -cycle process In this case the heat 3
exchanger is unnecessary since pure He is not returned to the mixer
Vilches and Wheatley [5] have reached O 0045deg K with this method and 3
maintained it for about an hour before depleting the He bull The proce s s is
reversible and thus for isothermal operation the heat absorption is simply
given by (37) However for T gt 0 0 1 0 K the term S3 deg should be replaced by 3
the entropy per mole of He along the solubility curve for the concentrated
phase although the difference is significant only for temperatures above lt
about 02 or 03degK For T 001 OK it is evident from (38) that (37) beshy
comes identical to H3 (Xt T) - H3 deg (T) = Q(T T)~ 3 which is the maxishy
mum value of Q(T T i)~ 3 and is a fairly good approximation for temshy
peratures up to about O 2 or O 3 deg K The greater refrigeration rate is
gained only at the expense of sacrificing the continuous nature of the 3
dilution refrigerator The amount of He remaining in the mixer after
the lowest temperature is reached is important to know thus analysis
of the transient mode is needed The natural assumption is made that
the heat capacity of the mixing chamber itself is negligible compared with
33
11
I
III
the solution Unless a large amount of cerium magnesium nitrate is used
as the thermometer the as sumption is very g~od Again by treating the
mixer as an open thermodynamic system the change in entropy of the
total system can be expressed as
oQ (51)d8t = T + on 8 J3 3
where oQ is the increment of heat absorbed for the incremental change 3
on of He in the system Equation (51) can also be put in the form3
d8
Qn3 =T-t_8) (52)dn 3
3
where Q is the heat input rate and ~ 3 the molar rate of change of He3
in 3
the mixer- and 8 is the He entropy along the dilute solubility curve3
If n is the number of moles of dilute solution and if the concentrated t 3 lt
solution is assumed to be essentially pure He (T O l5degK) then
8 t = n t 8 + n3 8 3 0
J (53)
where 8 is the molar entropy of the dilute solution from (26) The
derivative becomes
dS t OS dT dnt d8 3 deg dT 0
T dn = n t T OT)X dn + T8 dn + n3 T ciT dn3 + T833 3 3
e dT dnteo dT
= n -d + T8 -d + n3 -d + T8 0 (54)
11 n3 n3 3 n3 3
The mere process of cooling the liquid will automatically cause a small 3
transfer of He from the dilute to the concentrated phase This is evident
from application of the leverage rule to the phase diagram For tempershy
atures les s than about O 15 0 K this effect is quite small and so dnt l dn3
is
34
taken to be zero One calculation was made for a starting temperature
of O 3 oK In this case dnedn was still taken as zero but the value for C3
-1 -1 was taken as [7] C = 64T joules mole deg for a 124 percent solution
below 03 oK instead of using a 64 percent solution Combining (54) and
(52) yields the normalized equation
dT 03 + T (S3- S3deg) (55)
d(n n ) - (ntno) C + (n n ) C deg 3 o 3 o 3
3where n is the original number of moles of pure He in the mixer The
o term T(S3- S3deg) is the same as H (X T) - H deg(T) for T lt O 10K
3 t 3 Equation (55) was solved numerically for T as a function of n3no with
several different values for ntno and 6~ 3 In choosing values for
6~ 3 a value for the ultimate temperature to be reached is picked and
-6~ 3 is set equal to T(S3- S3deg) at that temperature
3When all the pure He is extracted from the mixer continued
3pumping will then begin to remove He from the remaining dilute solution
The obvious question is will this continue to produce a refrigeration effect 3
As the concentration of He in the dilute phase is reducedthe osmotic
pressure is lowered thus work is being done by the system Since the
process is reversible (52) also describes the behavior in this case
However S now becomes t
S t =n3 S 3 + n 4 S 4 deg (56)
so that
(57)
The term n3 dS dn can also be expressed as3 3
35
dS 3 i 08 3 dX oS3 dT n3 dn
3 =n3 oX JT dn
3 + n3 aT)Xdn3
08 3 C 3 dT] = X (1 - X) [ oX) + T dX
T (58)
where the relation X = n3(n + n4) has been used When (58) is entered3
into (57) (52) may be written as
oS bull bull - I 3 dT ]Qn 3 = X (1 - X) LT
oX)
T+ C 3 dX
(59)
3The term (oS3oX)T is always negative and so heat is given off when He
is added to the system (xi 3 gt0) but heat is absorbed during removal of
He3 (~3 lt 0) Since S3 approaches infinity as X decreases to zero the
limit -0 3 00 as X 0 must follow for T =constant However the 3
total isothermal heat absorption per mole of He originally in solution
when going from the concentration Xi to X f given by
l X oS i - Xi r f X (_3) dX
bQno = T x ) j X 1 - X oX T 1
1 (60)
has a finite value for X 0 This is so because S3 increases only asf
-23X for X o
Cooling may als 0 be accomplished by adding pure He4 to a dilute 4
solution through a superleak If the incoming He is at the same tempershy
ature as the dilute solution then the process also would be reversible
In the reversible cc-se the heat absorbed is also given by (52) but with S3
replaced by S 4 0 and n3 replaced by n bull From the system entropy in (56)4
the derivative becomes
36
(61)
which then leads to a heat absorption rate of
bull 2 r (deg53) dT ]Qn 4 = - X l oX + C 3 dX
T (62)
Even though (62) is always less than (59) n is not limited by a pumping
4 rate and therefore can be made much larger than rl Hence Q could be
34
made larger in this second case where He is added to the solution comshy3
pared with the case where He is removed from the solution However 4
in practice the incoming He will always be at a temperature T which is 1
higher than T This reduces the refrigeration rate to
(63)
4where the last term in brackets represents the heat load in cooling the He
3from T to T The total heat absorbed per mole of He in solution when
1
going from the concentration Xi to X at T = constant is thenf
~Qn3 = T[5 (X T) - 5 (X T)] - [(Xi - Xf)X X ] [H deg(T ) - H deg(T)] bull3 f 3 i i f 4 i 4
(64)
For Ti = T this expression approaches infinity as X goes to zero Forf
X laquoXi the last term in (64) becomes (1X )[H deg(T ) - H deg(T)]f f 4 i 4
4 Results and Discussion 3 4
4 1 Properties of He in Liquid He 3 4
The entropy of He in He calculated from (19) is shown in
figure 7 as a function of temperature for various values of X The
37
50 M gt1
40
TO Q)
0
I~ 30 0 E en Q)
J 0
J
gtshya 200 a r z w
pure He3
o 01 02 03 04 T oK
3Figure 7 The Entropy of He in Liqui~He 4
as a Function of Temperature for Various He Concentrations
38
3 entropy of pure He is also shown for comparison All the properties of
4 3He 3in He are listed as per mole of He Of special interest is the entropy
for X = O 064 in the low temperature limit which is given as 53 = 107 2 T
joules deg-1 mole -1 This expression is good to within 1 percent for temshy
peratures up to about 004degK For those interested in more precise
values 53 is listed in Table 7 of Appendix D along with values of (05 oXT3
-4for temperatures below 1 5degK and X between 10 and 03 The horizontal
line drawn in the columns for X gt O 064 indicates the location of the solushy
bility curve The only uncertainty in 53 comes from the specific heat The
weakly interacting Fermi-Dirac gas model fits the measured specific heat
to within experimental error thus the experimental uncertainty of about
1 - - 2 percent is all that carries over to the calculated specific heat and
entropy The ideal Fermi-Dirac gas chemical potential IJ is listed inf
Table 8 since it may be useful for certain calculations
The enthalpy H3 from (20) is shown in figure 8 and also compared
with H3 0 Again more precise values are listed in Table 9 of Appendix D
It is evident from figure 8 that (oH oXT changes sign at about 02degK and3
that H3 for X lt O 064 becomes less than H3 deg for temperatures below O IOK
The effect of these two occurrences on the dilution refrigerator will be disshy
cussed in section 43 The enthalpy values contain an additional uncertainty
not found in the specific heat and entropy namely the uncertainty in
1-l3 r It can be speculated that the resulting uncertainty in H3 for high
temperatures will never be larger than the order of 5 percent The
greatest uncertainty will be for lar ge concentrations For concentrations
much less than 64 percent the error in H3 should be less than about
02 joulesmole at all temperatures On and very near the solubility
curve H3 will be nearly as accurate as the specific heat and entropy
The osmotic pressure has been evaluated from (24) The results
are shown in figure 9 and listed in Table 10 of Appendix D Table 10
39
8
Hi 0 57
~~------~------~~------~------~------~------~--------~----~
6 0 E shyen CI)
J 0
-)
4 gtshya J ltt J t-Z lampJ
2
o
Figure 8
01 02 T oK
03
The Enthalpy of He3
in Liqui~ He4
as a Function of Temperature for Various He Concentrations
04
40
-2
--------------------
IOOO
r----~~--r_~~~~~~----~--_r--r_r_~~~------r_--r__r~~_
IOO
J--
A
V~~~
-~
~
IDE
AL
FE
RM
I-D
IRA
C G
AS
X
=0
64
_
---
X=
0
64
10
X
=O
shy 0 ~
X=
OI
~
01
01
laquo
I
001
1
0
Fig
ure
9
01
01
T o
K
3 4
Th
e O
smo
tic P
ressu
re o
f H
e in
Liq
uid
He
as
a F
un
cti
on
of
Tem
pera
ture
fo
r V
ari
ou
s H
e3
Co
ncen
trati
on
s
also lists values for the expression -[ IJ4(X T) -1l O(T=O)] The fountain4
pressure Pf is shown in figure 9 for comparison with the osmotic pressure
The dashed line in the figure represents the osmotic pressure of a 64 3
percent solution if the He is treated as an ideal or non-interacting Fermishy
Dirac gas In that case IT is given as ITv = 23 U where U is the internalf f
energy of the ideal Fermi-Dirac gas It is evident that even weak intershy
actions can change the osmotic pressure considerably The limiting
values of IT at low temperatures are strongly dependent on the shape of
the (-1J r - L deg)R curve below X = 0064 andconsequently contain fairly3 3
large uncertainties perhaps the order of 10 percent Measurements of
the osmotic pressure for temperatures somewhat les s than T f would then
be extremely useful in determining the exact behavior of 1l3 I and the intershy
actions The classical expression [3] for the osmotic pressure
E TI V 4 = - RT tn(l - X) - iJ 4
(65)
4where 1l E is the excess chemical potential of He in the liquid solution
4 has been used in the past [3] for high temperatures The term 1l E conshy
4 tributes only a very small part to IT at these temperatures and thus IT
is nearly proportional to T For temperatures less than the order of
T f quantum effects come into play and prevent IT from going to zero at
T = OOK It is instructive to compare the calculated values of IT with exshy
perimental results at temperatures of O 8degK and above The comparison E
is most effective if 114 is observed instead of IIbecause any differences
in IT would be greatly magnified in 1lE
bull Figure 10 shows values of 1lER
4 4 calculated by (65) from the theoretical results for II V 4 The dashed lines
give two typical experimental values [ 3 24] for a temperature of 08 degK
The lack of agreement indicates more experimental results are needed
before any conclusion can be made about the reliability of the calculated
42
005~------------~------------~-------------------------------------------------------------------~
004
003
002
001
T 0 OK
-001
10
04
Data of London et of (T 08 OK)
o -=-- - 02
01
o 001 002 003
4Figure 10 Behavior of the Excess He Chemical Potential as Deduced
from the Osmotic Pressure of He 3 in He4 bull
43
II although the uncertainty in II is approximately an order of magnitude
less than that of 1-14 E R
3 44 2 Properties of the Total He - He Solution
Tables 11 through 13 of Appendix D list the specific heat entropy 3 4
enthalpy and excess enthalpy for the total He - He solution These 3
results are listed as per mole of solution instead of per mole of He as
in the previous section Figure 11 compares the values of HE calculated
from (31) with experimental results Lll 26] In general the agreement
is very good except for high temperatures and concentrations which is
to be expected from the model used here It is interesting to note that
HE becomes negative for temperatures les s than about O 15deg K This
inversion temperature is shown as a function of X in figure 16 (p 55)
denoted as curve ll Below this temperature heating rather than coolshy3 4
ing occurs when pure He and He are mixed together to form a solution
This result of course has no bearing on the dilution refrigerator since
in that case it is not the pure components which are mixed together The
reverse process separating a mixture into its two pure components
does produce some refrigeration and will be discussed in detail in section
43
3 4The vapor pressure of the He - He solutions as derived from
(32) are shown in figure 12 and listed in Table 14 The results in
figure 12 show the ratio PP3deg so that curves for several temperatures
can be included on one graph Again there is good agreement with exshy
perimental results L27] The experimental curve shown for O 4degK was
taken as the vapor pressure of the concentrated phase given approxishy
mately by P = Xu P3deg The vapor composition used in the calculation of
P is listed in Table 15 Fortunately X is not very sensitive to WR for v
X larger than about O 5 v
44
Q)-o E
fh Q)
l o ~
--------- T =OOK
-Ol~~--~~--~~--~--~~--~~--~~--~~~~~
08
06
04
02
o
I et 0 I
--0--de Bruyn Ouboter I 115degK
rJ Sommers et 0 I T = 102deg K II
- This Work I I
I I
I I
I cent I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I l
~~~___________ a
02
o 005 010 015 x
3 4Figure 11 The Excess Enthalpy of He - He Solutions as a Function
of He 3 Concentration for Various Temperatures
45
10 r------__--------------------
08
OS
o~ a
0
OA
010
O8degK 005 02
r 0 o 001 Q02
o 01 02 03
This Work
--- Experimentol
fill 015
x 3 4
Figure 12 The Vapor Pressure of He - He Solutions Divided by the Vapor Pres sure of Pure He 3 as a Function of He 3
Concentration for Various TeITlperatures
46
The differential heat of vaporization A is derived from (35) and vt
the term A E vt which represents the deviation from the ideal differential
heat of vaporization is plotted as a function of X in figure 13 The dash-v
ed part of the curves are in the region of X gt 03 and so represent intershy
polations The as sumption was made previously that the solutions could be
treated by regular solution theory to find X from a given value of X at the v
temperature T The relationship between X and X is therefore subjectedv
to some uncertainty especially for X less than about O 5 The term E v
A II from (35) uses both X and X which would appear to cause an unshyv~ v
Ecertainty in A However the term ~ in (35) is very nearly linear in
vt E
X which results in A being practically independent of X Thus for a vt
given value of X the uncertainty-in AE is nearly removed The directII
v ~ E experimental results of Sommers [28] and results deduced from H
data [11] are also shown in figure 13 for comparison
3 44 3 Applications to the He - He Dilution Refrigerator
The enthalpy H3 (X T) and entropy S3 (X T) along the lower t t
solubility curve are listed in Table 16 The maximum heat absorption
rate Q(T T)~3 calculated from (36) is also listed and applies to the case 3
where only pure He is circulated Plots of H3 (Xt T) H3 deg (T) and
Q(T T)~3 are given in figures l4a and 14b For temperatures less
than about O 04degK the expressions
Q(T T)n3 = 82 T2 joulesmole He 3 (66) I
fit the results within 1 percent These numbers are somewhat smaller
than those given previously by this author [ 29] since the binding energy
E was changed to fit the latest results [9] on the solubility curve The o experimental behavior of Q(T T)n is (83 plusmn 4) T2 joulesmole He 3
3
47
o -I
-2
-3cu
0 E
en
-4
cu
J
0 J -5
~
-t0
0
111
gt
lt
-6
-7
-s
-9 I
I I
I I
I
I
I I
I
a 0
1 0
2 0
3 0
4 0
5 0
6 0
7 O
S 0
9 1
0
I E
xper
imen
tal
I
Xv
Fig
ure
13
T
he D
ev
iati
on
fro
m t
he I
deal
Dif
fere
nti
al
Heat
of
Vap
ori
zati
on
of
He
3 -
He
4 S
olu
tio
ns
5
Q)
o E (J) 2 Q)
J o J
1 f 1( ~
IJ I I
IV J J
j I IJ
J
IV I H3 (Xl T) 1 I
~ I OfT T) 113 V I
L1 I J
IX J H3O(T)II I
I J II IJ
1 I IJ I I I(
II I JIfj I
1 V III V
J
2
2 5 2 5
Figure 14a Plots of H (X T) H (T) and O(T T)~ 3 =H (X T3 t 3 3 t
- H3 0 (T) for Low Temperatures
49
10
5
2
~lcP o E
fI) Q) 5 J o
J
gt-~
Q 2 -J lt c t- _I 210 W
5
2
-210 10 2 5 101 2 5 10deg 2
J II-2
I III i
IJ i V
II Ifj
H3 (X T)
J
JJ
~ h
JV W
JV
II rl
J I(
V 1
J
rj
J V
L
~
V~ ~ I
J
II
~ I ih ~I
J V Ill
W II j V
J LI 1 f
IJI( Jt Q(TT) h3 j
V )
(HffTJ
I 1
I 1
I JI
1
I
I
T oK
Figure 14b Plots of H3 (Xt T) H3 (T) and a(T T)~ 3 for High
TeITIperatures
50
3Peshkov [ 10] gave the value 100 T2 joulesmole He from his calculations
using X = 005 as the limiting solubility The same result would be
reached in the present work by considering a 5 percent solution Vilches 2
and Wheatley [5] also derlved the value 82 T but 59 percent was used
as the limiting solubility The uncertainty of the present results beshy
tween O 004degK and O 2degK for H 3
(X-f T) and Q(T T)~ 3 are estimated to
be about 2 percent judging from the experimental uncertainties in C 3
C3
0 and the solubility curve Above O 2degK the accuracy may not be
quite as good
For temperatures less than about O OlooK considerable uncershy
tainty exists in C deg According to Balian and Fredkin [30] the limiting3
temperature dependence of C deg should have the form C oT = 3 3
A [-fn(BT)] 12 The experimental results [31] below O OlooK neither
confirm nor deny this temperature dependence If this form is correct
then at sufficiently low temperatures Q(T T)ri would become zero though3
-6 temperatures less than 10 oK would probably be required A more
recent theory [32] shows that C degT approaches a constant value at3
3T = OOK A transition of He to a superfluid phase in either the pure or
dilute liquid would also alter the present analysis below the transition
temperature However neither of these effects should change the presshy
ent calculations at O 004 0 K and above
It is obvious from the curves in figures l4a and 14b that the 3
incoming pure He can be at a much higher temperature than the outgoing 3
dilute He and still provide refrigeration It can be deduced from (66)
that for temperatures less than about O 04degK the refrigeration power
goes to zero when (T T) = O 36 where T is the temperature of m 1 Q=O m
the mixer More exact values of this ratio are given in Table 16 and
are slightly dependent on T bull For small residual heat leaJlts the limiting m
temperature of the mixer is thus determined solely by the inlet
51
3 temperature of the pure He For example if the residual heat leak is
5about 1 ergmin or less for a circulation rate of about 2 x 10- moles
sec then the mixer will reach O 005degK for an inlet temperature of
0014degK Unfortunately heat transfer at these low temperatures beshy
comes very poor and it looks as though considerable research on heat
exchanger properties and design are required to reduce the temperature 3
of the incoming He to this low value
4 3Any He in the incoming He stream will reduce the refrigeration
effect as given by (41) for temperatures below about 02degK For temshy4
peratures of O 040 0 K and below the influence of He is easily evaluated
since H (Xf T) and H deg(T ) can be represented as in (66) Figure 153 3 i
3shows how the concentration of He in the circulated gas stream can
affect the refrigeration capacity in the mixer The figure shows plots of 2 2
(QT m)X obtained from (41) normalized by the quantity (QT m )X= 1
for various values of the ratio T T Values of T T near 1 0 can m 1 m 1
only be achieved with nearly perfect heat exchangers something quite
difficult at very low temperatures If it is assumed that the presence 4
of He has no effect on the heat exchange properties then T and T 1 m
will remain the same for all X and the curves will then show the ratio
(Q)X(Q)X=l The dashed line in this figure represents the reduction in
refrigeration capacity which would be due only to a reduced amount of 3
He bull Obviously this curve is quite different than the more exact curves
especially for low values of T T Most of this difference is due to m 1
the fact that some dilute phase with its very high heat capacity must be 4
cooled from T to T whenever He is present in the incoming stream 1 m
From the curves shown in figure 15 it is easy to see the importance of 4
eliminating He from the gas stream particularly at low temperatures
where T T will be low and near its ultimate value The other curve m 1 3
in figure 15 shows how the ratio (T T)Q 0 varies with the He m 1 =
52
01
V
J
IDmiddot
bull
08
06
04
02 o
02
0
4 0
6 0
8 1
0 x
Fig
ure
15
Th
e R
ati
o o
f M
ixer
Tem
pera
ture
to
In
let
Tem
pera
ture
fo
r Z
ero
Po
wer
Inp
ut
an
d t
he R
ati
o Q
T2
as
a F
un
cti
on
of
He
3 C
on
cen
trati
on
in
th
e C
ircu
late
d G
as
m
4concentration in the gas stream The effect of He on this ratio is
fairly small for less than about 50 percent He4
It will now be shown that the fractional change in T itself is m
only slightly larger than the fractional change in the ratio (T IT)a-om 1 -
This fact can only be found from an analysis of the heat exchanger A
system of several individual heat exchangers of the type used by Vilches
and Wheatley L4] will be assumed but only the lowest temperature heat
exchanger will need to be analyzed In the ideal case both the dilute and
concentrated streams will leave the lower heat exchanger at the same
temperature T The dilute and concentrated streams enter the heat 1
exchanger at the temperature Tm and Tb respectively At low temperashy-1
tures the specific heat of the two streams are C = 107 T joules mole -1 -1 -1 ~4
deg and C = 25 T joules mole ieg bull A heat balance is then made3
0
on the heat exchanger which leads to the condition
2 dT T dT
1 = O 81 (~) m (67)T T T
1 1 m
For T IT = O 36 this becomes dT T = O 11 dT IT Therefore m 1 11m m
T changes very little for a change in T and the fractional change in 1 m
T will be only about 11 percent larger than the fractional change in the m
ratio (TmTi)a=Oat least for (TmTi)a=O near 036 The ratio
(T IT )a decreases by about 7 5 percent when going from X = 075 to m 1 =0
X = 1 0 so T will decrease by about 83 percent for this change in X m
In the case where the two streams do not reach the same temperature in
the heat exchanger the change in T will be slightly less than in the m
ideal case
In figure 16 is shown the locus of points where H3 = H3 0 which 3
is designated the inversion curve III Diluting the He to any point below
54
05~----~------~----------------------
004
10
05 ------------------ o
006
002
PHASE SEPARATION
REGION
008
15 r---------------
04
03
o t shy
02
01
o
3 4Figure 16 Enthalpy Inversion Curves for He - He Solutions The
inset shows the high temperature end of the curve I
55
x
this curve without doing work results in a heating effect whereas above
this curve a cooling effect takes place This inversion curve I given by
(oH oX) = 0 is also shown in the same figure Below this curve the maxishy3
3 mum cooling effect is achieved by diluting the He no farther than the s olushy
3bility curve Above it maximum cooling occurs when the He is diluted as
much as possible but still remains above the curve 1 To prevent a loss
of refrigeration at temperatures below inversion curve I requires the 3
mixer to have a very small impedance for the flow of He so that dilution
below the solubility curve can not take place The technique of bringing
about extra dilution above curve I is discussed later The curve II in
figure 16 was mentioned in section 4 2 but for completenes s is restated 3 4
here Mixing pure He and pure He such that the resultant solution is at
a point below curve II results in heating whereas cooling results for a
point above curve II
The concentration in the dilute stream between mixer and still is
shown in figure 17 for various mixer temperatures These concentrashy
tions are for constant ~4 The specific heat C~4 of th~ He3
in the dilute
stream is shown in figure 18 also given for various mixer temperatures
For a mixer temperature of OOK the specific heat becomes C~4 = 1072 T
joules mole -1 deg -1 in the low temperature limit which is the same as
C for X = O 064 The classical value of 52 R would hold at high tempershy3
atures if the process was at constant IT instead of constant ~4 Values of
C~4 are useful in the design of heat exchangers and so are listed in Table
17 along with X and 8 for constant ~4 for several mixer temperatures3
The vapor pressure of the solution in the still is plotted in figure
19 as a function of still temperature with the mixer temperature as a
parameter The heat of vaporization of the liquid in the still and the
vapor composition (neglecting film flow) are both shown in figure 20
56
08
06
~
o
tshy~
04
02
PH
AS
E S
EP
AR
AT
ION
R
EG
ION
o 0
02
0
04
0
06
0
08
0
10
012
X
F
igu
re 1
7
Co
ncen
trati
on
Pro
file
s f
or
Co
nst
an
t J
4
TABLE 9
THE ENTHALIIY OF HE3 N HE4
H3 (JMOLE)
~ 00001 00002 00005 00010 00020 00030 00040 00050 00060 00080
ClO
0000 -210606 -208000 -202153 -194785 -1083391 -174107 -166024 -15e71 -152114 -140192 0001 0002 0003
-21002 -2~865
-211696
-20719 -206591 -205173
-111943 - 01329 -200368
-94652 -19425 -19361 i
- 83307 -183056 -182640
-174043 -173850 -173531
-16f)971 -1651111 -165547
-1511716 -1511578 -1511349
-52073 -151151 -151748
-140159 -140058 -139889
001l4 -2115134 -203543 -199 146 -192742 -82066 -173087 -165178 -158030 -151464 -139654
0006 -211285 -199965 -96198 -190460 -180476 -171839 -164 135 -157124 -150658 -13e9A4 0008 0010 0012 0014
-1Q7317 -1Q3291 -1J1923j -1R515ii
-196171 -192268 -188302 -18494
-192854 -189284 -85576 -181775
-18767Q -18456 -08122 -177727
-1711385 -175903 -73125 -170120
-170151 -168084 -165706 -163074
-162706 -160928 -158844 -156500
-15876 -154308 -15449 -150333
-149543 -148134 -146451 -144521
-138053 -1middot36870 -1035445 -133793
0016 -1A1054 -1110258 -177910 -1741111 -166940 -160235 -153937 -147995 -142368 -1031931 0018 0020 0075 0030
-1769411 -172834 -11I252 -1I219i
-176202 -172130 -161905 -151636
-173997 -170048 -160065 -149977
-170425 -16666 -157065 -147267
-163624 -160200 -151286 -142023
-157229 -1540 86 -145774 -136993
-151190 -148287 -140001 -132158
-140465 - 104279 -130448 -127500
-140022 -137504 -30596 -1n009
-129877 -127650 -121438 -114483
0035 -141850 -141340 -139823 -137341 -132528 -127894 -123424 -11QI05 -114927 -106962 0040 -141497 -131025 -129623 -1273211 -122869 -1111567 -114406 -110379 -106475 -09900 0015 -11l3 -120697 -19391 -117251 -113091 -109070 -105177 -101 401 -097736 -090711 0050 -110771 -110359 -109134 -107127 -103222 -099445 -095783 -0922211 -088774 -082144 000 -090029 -089661 -~8E1568 -0877 -083287 -079910 -07633 -07~448 -070349 -064389
0070 -09278 -068944 -067953 -066329 -063168 -060108 -057138 -054251 -051440 -046030 OOAO -049520 -048214 -047305 -045817 -0middot42923 -040122 -03 7404 -034762 -032190 -027241 0090 0100 0120
-0~7757 -Oii699i 04540
-027474 -006727
034782
-026634 -005945
035470
-025259 -004666
036595
-022586 -002182
038774
-020002 000218 04n874
-017496 002543 042905
-015061 004801 044874
-012691 (11)6991 046186
-001133 011218 050452
0140 076096 076304 076921 0779lt5 079866 081731 083531 08S273 086960 0Q0186 0160 01110
11 764shy159203
117837 159376
1 8394 59884
119301 1060711
121050 162300
122725 1631117
124338 165274
12158Q4 16676
127398 16A028
130266 170595
0200 2n0761 200920 201387 02145 203599 204983 206307 207578 208800 211112 0250 314663 304795 305182 305807 306996 308117 309182 310196 11l63 312972
0300 4n8571 408684 409012 409538 410531 411459 412331 413154 413932 415367 0350 0400 0450 0500
512485 6640[170]2n 8lt4240
512582 616486 720394 824305
512864 616730 720608 824493
h13313 6171111 720944 1124786
514154 617836 721561 825317
514Q31 618491 722115 1125785
515653 61 9093 722616 82c201
51328 619647 723070 826571
516Q58 1120157 723482 826899
51100 621deg3 724191 A27441
0550 928161 928lt19 928384 Q28641 929097 929491 929834 930131 930387 930786 0600 0650 0700 0750
1O~2084 1146007 12993 1343854
1032135 1136052 1239970 1343890
1032280 1136180 12 40084 143989
103t504 1136375 1240253 1344136
1032895 1136710 1240536 1344373
1033226 1136983 1240760 1344551
1033505 1131206 1240932 1344679
O33738 1137384 1241060 1344761
1033931 1137520 12411 47 1344804
1034205 1137684 1241212 1344781
01100 1447779 1447810 1447897 144AG23 1448219 1448356 1448443 14411485 14411487 1448383 0850 151704 1551731 1551807 1551914 1552073 1552112 1552221 155226 1552192 1552015 0900 1605629 1655653 1655718 16558011 1655932 Hbullbull 55997 1656012 165119114 1655915 1655672 0950 1000
17955 18f3480
1759576 1863498
1759631 1863545
1759705 U63604
1759797 1863667
1759831 1863672
1759815 11163627
1759755 18 63538
17t0655 lR63410
1759351 11163048
11(10 2071333 2071345 2071376 2071409 2071419 2071372 2071275 2071135 2070955 2070492 1200 1300
l7918 lt4A7030
2279194 2487043
2[179211 2487048
2279220 2487037
2gt791115 24F16962
2279092 2486828
2278950 248c646
22711764 2486421
2278540 2486157
2271Q88 2485527
1400 1500
69489 29n2747
2694893 2902744
2694887 2902728
26948511 2902683
2694747 2902540
2694578 2902338
2694360 2902089
2694100 290796
2693801 2901466
2693100 2900702
Page 101
TABLE 9 laquoCONTINUED)
HJ IJMOLE)
T~X 001011 1)0150 00200 00250 00300 00350 00400 00411i0 00500 005-0
flO
0000 -19~4 -107331 -088986 -073383 -059844 -047941 -037382 -027953 -019495 -011881 0001 -19612 -101308 -n88967 -il73367 -059~30 -047928 -037370 -027942 -019484 -011871 0002 00113
-19524 -19H9
-107lt41 -10729
-n88912 -ii88~118
-07331t -073238
-059786 -059715
-047889 -047824
-037334 -037274
-027908 -027853
-laquo)19453 -1119401
-0l1i4i -011793
001)4 -1gt9175 -106972 -ii88688 -073125 -059614 -047733 -03790 -027775 -019328 -011724
0006 -118590 -06525 -088317 -072802 -059327 -047472 -036951 -027553 -019120 -0011528 0008 0010 0012
-17787 -1gt757 -1gt5516
-105902 -105103 -104133
-ii87797 -~ 8732-086321
-1172352 -071 774 -071069
-058925 -0011410 -057782
-047108 -046640 -046070
-036616 -036186 -03MI
-027241 -02842 -026354
-018828 -1118454 -017998
-Ol1254 -010901 -010470
0014 -1gt057 -102994 -ii853611 -070239 -057041 -045397 -035041 -025779 -617458 -009962
0016 -1gt2409 -11)1692 -084274 -069286 -056189 -044622 -034329 -025116 -016837 -009377 0018 0020
-1105711 -118076
-100233 -098622
-083043 ii81678
-068210 -067015
-055227 -054157
-043747 -04gt773
-033523 -03224
-024366 -02J530
-1116135 -1115351
-0oa74 -007975
0025 -1 i2920 -093983 -071710 -063522 -051018 -039910 -029982 -021069 -013042 -000796 0030 -1n650 -088571 -073012 -059300 -047248 -036458 -026788 -018089 -010242 -003150
0035 -099117(1 -1182512 -067670 -054559 -042891 -032450 -023067 -014609 -006967 -000052 00110 0045 0000 0060
-091956 -0114059 -075852 00872
-075911 -068859 -061431 -0 45675
-ij61772 -ii55396 -~48607 -034016
-1149215 -laquo)43385 -0371ZA -023534
-nn996 -0J2617 -0gt6806 -014069
-027925 -022924 -017492 -005500
-0lBe51 -014172 -009067
002274
-010654 -006252 -0oi432
009334
-11113237 ) 00926 005497 015751
003484 0middot07438 011798 02584
0070 -0088) -029007 -018365 -00877A -1)00107 007758 01 4901 021 397 027304 032674 0080 0090 0100
-02252~ -113795
0i531
-011660 0116205 024471
-iin1911 ~15164 032732
006877 023239 0 40115
014828 030538 046875
022039 037151 052942
0 28589 043150 05tl433
034543 0411596 063405
1)39956 1153538 067904
044873 0511018 071971
0120 039Z7 061A96 ii6lS982 n75317 080999 086108 0911702 094829 0911530 101h2
0140 0)3234 100181 106307 111741 116570 120867 124693 128092 131101 13-754 0160 0180
1296 172999
139068 178394
44396 183046
149071 1amp7073
103119 90563
156791 193580
159955 196178
162720 1911393
165125 gt00265
167198 201826
0200 23265 2181153 22123 225592 228543 2JI042 -33139 234875 236282 237388 0250 34630 318gt16 321128 323479 325350 J26801 327P81 328629 -29077 329253
0300 46656 419342 421383 422889 423937 424588 424888 424875 424579 424028 0300 0400 0450
59101 6183)74760
521081 623239 725697
522437 1124037 726031
523275 6211333 125873
523673 624200 125296
523689 623695 724357
523367 622864 723099
52745 62i743 721 558
521854 120361 719763
520718 618743 717740
0500 8785) 828379 1128319 A27775 1126820 820510 1123888 821988 A19841 II 17470
0500 9 on 054 931234 930834 929956 928675 927043 92105 92gt895 920442 917769 0600 104349 lO34225 lii33527 1032358 1030790 102A877 1026662 1024180 1021457 101819 0650 0700
117718 12411 49
1137325 240516
1136364 1gt39320
113493A 1237663
1133116 1gt35615
1130954 1233231
1128494 1230551
1120769 122760
1122809 1gt24436
1119636 li21052
0750 1344630 1343781 1342374 IJ4(1510 1338258 133t673 1332796 1329660 n26294 132-720
0800 1448153 1447109 1445511 1443459 1441022 14311255 1435199 14 31 887 1428346 1424599 0850 0900 0950 1000
155171- 165530 ]7lt8921 181I256
1550491 1653918 175786 IIloOIl88
1548718 151986 1755307 1858673
154495 1149606 1752782 11156015
1543890 1646847 1149881 11152982
1540957 H bullbull 43762 1741656 1849627
1537737 1640392 1743148 lIh4S992
1534264 163770 1739389 18 4Z107
1530563 1$32924 1735408 11138001
1526660 1628876 1731227 1833697
1100 20990 2()67982 21)65523 2062625 2059356 2055769 2051904 2047793 21)43463 2038937 1200 227731 2275173 2272501 2269394 Zi65919 2262129 2258063 2253754 2249229 224451)9 1300 1400 1500
4A4774 2692278 2899AIA
2482443 2689776 2897163
2479583 2686749 21193985
2476290 28329 2A90379
2472634 2679473 211S6415
2468664 267t343 2AB2141
2464421 2670942 2877598
245q937 2666302 28728 18
2455239 2661449 2867826
24511347 2656405 2862644
Page 102
TABL 9 (CONTINUEO)
H3 IJMOLE)
T~middot 006(1) 00640 00650 00700 00750 00800 00900 OOOO Oll 00 Oll00
00
0000 00t1 0(1)2 00(13 0004
-0rS013 -00004 -04971 -0(4931) -0~4116C
1)00000 000009 0(01)360)1)080 000143
001191 ~01200 iiOlntgt ii01270 iiOl3n
006799 006A07 1)068llt 00687lt 006934
011867 011875 011899 011939 011996
016443 01451 016474 016513 016567
0l42Al 024289 024 ]10 024346 024397
0305M 0lri591 0]06 11 03Q645 030693
035561 035567 1)35587 035619 1)35663
039377 039383 039402 039432 039474
001)6 oOos OOH 00tgt 0014
-01I467Q -0~4410 -O408C -03677 -0319r
000321 000571 000R92 001284 101747
1101)1509 ~01756 01)2074 00243 ii02921
1)07103 007330 0(764)oollon I)OR451
012158 o123A4 012675 013031 013451
016n3 016941 017220 017562 017965
024542 024744 025004 0l5322 025698
0308211 031018 03i262 03j560 031 9 12
035791 035970 031201 036482 036814
039596 039766 039984 040251 040566
0011 0018 0020 0025 0030
-0l264 -02012 -01311
l)ii0756 03(61
002280 002884 003558 005546 007962
003449 004047 004715 ii(l6684 009078
008951 00952F 0101Alt 0120411 (I1 433S
013934 014482 015094 016899 019096
018430 0111957 019545 0212Bl 023394
026130 026620 027168 028 784 030753
032318 03~778 0332(11 034808 036656
037197 037631 n]A1l5 0]9547 041293
040929 041341 041800 043160 044816
003S 0040 0045 00ltgt0 001l0
0116217 O~977 0i314f n17O~ 0gt6A8~
010797 014039 017675 Oc1688 030770
0118B7 nl)101 ~ ii2c68S ii31695
017027 O2010~ n23563 n273l1 036051
021677 024635 127960 031639 040003
025A79 (I2A728 031932 035481 04)563
033070 035729 0311723 0 42044 049628
038830 04i331 044148 047276 054434
0middot43349 045712 0411377 051339 058127
046769 049014 051547 054364 060829
0070 00110 0090 01(10 O po
O~7551
04933 0 2074 1)763Q 1-479
041129 052600 065036 078307 106Q20
041979 n53375 n65738 078938 l07418
045981 057026 069037 08194 109732
049606 060314 071995 iIA4531 111759
052864 063163 074636 0136867 113516
058390 068230 0711040 0010714 116286
062729 072077 0823A6 09)559 11A152
066015 0 74927 n84787 095508 1101208
068356 076882 086337 096647 119529
0140 0160 OlAO 0200 OSO
136077 IAA96~ 230911 28221 3gt9170
137717 17075 203926 238705 328956
138 097 170451 204107 38BOl )28878
191133 171671 0048601 23914Q 32113lt
141306 172649 205401 239279 327647
142532 173396 20717 2301206 3lt6748
144303 174256 205754 2311497 324447
1415247 174350 205072
~21 54 1
145449 1 73756 203744 235109 318094
144919 172539 201834 232559 314159
0300 43242 422460 422243 421046 419666 41A115 41 4547 4104 14 405781 400702 0350 0400 0450 0500
519350 fIii691ii 715508 11489
518125 615303 713585 812702
r17797 1S14882 713086 A12136
S16047 612673 710489 A)9206
014123 610297 707731 A06120
512038 607767 70_11124 A02888
507427 602286 698604 196030
5002118 596302 691899 7BA703
496684 1)139873 614767 780964
490659 583048 617251 772858
0550 0600 060 0700 0750
0Il4891 10i538f 11627 12i747A 13A951lt1
912468 1012750 1113450 1214494 1315A26
911844 1~12074 1i12728 1213731 131502
908624 1008599 1109027 1209821 110937
905251 1004974 1105177 1205775 106704
901736 100110 1101191 1201590 1300340
1194323 993305
1092849 1192857 1293251
886452 984954
1084070 1183692 1283739
R71n80 h76211
1074907 1174152 1273857
16955] 967U3
10615406 1164280 1263649
OIlOO 14gt0667 1417399 1416566 1412310 1407913 1403384 1393974 1384145 1373952 1363438 0850 Ogeo 0900 1000
)5gt2571 1624645 176864 18gt9212
1519181 1621140 1723gt55 1825506
1518317 1620248 1722337 1824564
15139)A 1~15700 1711660 11119767
1509360 1611013 1712845 1814834
1504682 1606198 1707903 lA09774
1494976 1596221 1697616 1799316
1484858 158r836 1687045 I18A457
1474]80 1575096 1676063 1777250
1463586 1564044 1664173 1765739
1100 1200 13eo 1400 1500
2034233 223911 lt445B 2C1l8A 1lr729lt
2030)54 2235582 ~441117 2646903 2852R98
21)29368 2234559 2440060 2645816 2A517e4
2024357 22293501 2434693 2 40301 2A46136
2019210 2224026 2429196 2634656 21140358
2013940 221111570 2423577 26211~91 2B34462
2003064 2201330 2412013 261 7039 21322350
199195 2195702 2400061 26048014 28Oq863
lQe0185 2183737 2187789 292250 21Cl7052
1968276 2171479 2375222 2579406 2783959
Page 103
TA~LF 9 (CONTINUED)
H3 (JMOLEI
TI 01301) 01400 01500 01600 01800 02000 02250 02500 02750 OlOOO
(KI
0000 042167 044040 045089 045391 044012 0 4 (1334 033005 023100 011009 -002960 Ooni 000 0on3 0004
042173 04219 042219 042259
0441)46 0441162 0441190 044129
1)45094 n45110 1)45137 n4S174
1)453911 n45411 045417 1)454n
044016 044031 044054 0440R8
04n]38 040352 040374 040405
0l3009 033021 033042 033071
02104 024116 024136 0211(3
1111013 (loll 024 011043 011 069
-n029i6 -00gt945 -00292A -002903
0006 0008 0010 0012 0014
042370 042537 042745 04gt999 043299
044gt39 044394 044093 044836 045123
n4)2Ao n45428 045619 0451152 046128
045575 04lt77 0459n (104(1204(391)
044183 044316 044487 044696 044943
040495 040620 ()40781 040977 04)gt09
03355 n3372 n33422 033605 0331122
02242 023351 021493 02)665 02869
1)11143 011247 01138 1 011544 011737
-nOtl32 -00gt7]3 -00~606 -002451 -00gt267
0016 043645 045454 046446 046696 045228 041477 03+072 024104 011960 -002055 0018 0440311 045829 046805 047042 045SH n41781 034355 024370 012212 -0018tl 0020 0444710 046248 n47208 n47429 045912 042120 0341011 0246611 012494 -001547 0025 0030
1)45771 n4735)
047487 048999
1148397 1)491147
0411573 1)49970
046979 048281
041122 044347
035607 036750
025549 026624
(I 13327 014346
-000753 000216
0035 049212 050780 )51558 1)51616 049A18 045791 038099 027894 015548 00360 0040 0045Ooso (IOM
051354 00371 1 00(461 010264
0521130 05gt145 057723 n63(48
0S3S26 0)5750 058226 063923
1153511 055653 0511039 063530
051586 0middot53586 055815 060950
047454 049336 0H433 056269
03653 041411 043371 047A94
029356 031011 03857 037119
016933 0111501 1120251 024290
002679 004172 005839 009687
0070 069F47 070168 1170585 069957 066968 061943 053207 04212F1 029041 0014216 0010 078026 078434 0711168 077283 073842 06A433 059291 047871 034493 019415 0090 0100
0~710(171)5gt
087192 096785
1186625 095902
0A5464 094451
081536 090009
070710 0113741
1)66125 073681
054330 06l4
040629 n47433
025272 031772
0120 11QI8) 118gt19 116693 114644 109124 101915 090838 077764 062954 046625
0140 143894 14247 140080 13743 130821 1226415 1111501 096493 oFlOMl 063805 0160 0180 0200
170754 199)Q 2-9lt011
168447 196463 225998
165659 193085 22066
16t420 189290 211741
)04740 1 11 0565 208026
145599 170482 1 Q7035
132381 156204 1081727
117422 1402H 164890
100942 122966 146715
083126 104379 127362
0250 3977Q 304994 099835 [194331 [182385 26Ql22 251626 232602 212419 191220
0300 395219 389369 383182 376684 62R43 347998 3211217 307253 285263 262316 0350 4114255 477507 470447 463100 447635 431255 409667 387007 63422 339032 0400 5751167 56F1365 060567 552497 535630 517914 494745 470595 445603 4198AO 0450 0500
6Q401 74420
661247 7551191
152RI0 746701
4411A 13746gt
6260S0 718332
61)774 911444
582615 72671
557146 646035
030901 618674
50991 590697
0550 IIl060Fl 851379 A41892 FI3171 812103 791309 764454 736789 708436 679504 0600 957726 948052 938128 9279711 907074 885473 857645 829047 799809 770025 0650 0700
1055604 1154114
1045533 1143684
1035218 1133011
10246A4 1122136
1003030 1099805
980703 107821
Q52001 1047326
92562 1017123
1192511 986337 ~ 955068
07S0 1253153 1242398 1231411 1gt20214 11Q7268 1173687 1143470 111gt571 1081113 1049194
0800 1302640 1341589 1330310 1318826 195318 1271191 1240312 12011175 1176700 1144186 0850 1402512 1441189 1429643 1417895 13Q3R71 n69242 1331755 1305630 1272987 1239923 0900 1502717 1541144 1529351 1517360 149859 1467767 1435719 1403051 13M88 1336310 0950 1000
1603211 173959
1641406 1741940
1629385 1129701
11717 17172A3
59229 1691932
1561708 1666012
153439 1632960
1500967 159939
1467310 1565207
1433265 1531)7lt2
1100 1906103 1943697 1931083 19182R lR92193 lf16i554 1831627 1197138 P62204 1726921 1200 13GO
215896 gt3 24011
2146211 2349353
2133268 2336107
2120136 2226A2
2093398 2295368
2066126 2267533
2031428 2232151
1996192 219250
1960534 2159946
1924547 2123331
1400 1500
25 6312 2770619
2552996 2157061
2539484 2143309
2525796 2729384
2497966 2701088
4(9627 2672295
2433632 2(35746
2397135 259R711
gth60251 2061303
2323074 2523616
Page 104
TABLE 10
THE OSMOTIC PRESSURE OF HE3 IN HE AND THE EXPRESSION -[ ~4(X T) -~4 (TwO)]
OSMOTIC PRESSURE bull P OSM -[ ~4(X T) -~4O(T=O)] bull U
)( 00001 X bull 00002 X bull OOOO X bull 00010 X bull 00020
P OS U P 0514 U P OS U P OSM U P OSM U (Kl TORR) IJMOLEI CTORRI CJMOLEI (TORRI CJMOLEI nORRI CJMOLEI CTORRI IJMOL[I
0000 bullbull 810middot00 1783-006 15lmiddotmiddot00l 56middot2middot006 6978-003 2566-00 2181-002 8020-005 6769-002 2bullbullbull9-00 0001 0002
5509-00 7002-00
2026006 2575-006
1620-003 18l-00l
5956-006 6778-006
709l-00l 7 bullbull26-00l
2608-005 2731-00
2196_002 2238002
8073-00 82l1-005
6787-002 681-002
2 bullbull96-00 2516-00
0003 000
880-00 1OA3-003
3250-006 398Z-006
21511-003 2506-003
791l-006 9216-006
79-003 8612-003
2923-005 3167-005
2308_002 2 bullbull0l-002
8bullbull88-005 8836005
6931-002 7056-002
2Imiddot9-00 2 595-00
0006 151)2-003 5SiH-006 3281-003 1208-005 1021-002 l756-005 2650-002 975-005 7bullbull01-002 221-00 0008 0middot0100012
1 93l-003 2371-00l 28lmiddot003
7108-006 8719-006 103-005
middot1l0-003 4959-003 5822-003
1511-005 1823-005 21middot1-005
120l-002 1397-002 1599-002
bullbullbull25-005 5138-005 5879-005
295l-00Z 3292-002 365middot-002
1086-00 10210-004 1middotmiddot00middot
7855-002 8393-002 8996 002
2 888-004 3 086004 3 308-004
001middot 3257middot00l 11 98-00ll 6693-00l 2bullbull61-005 1806-002 6639-005 4034-002 1483-00 9648-002 3548-004
0016 37112-003 1361-005 7571-00l 2784-005 201 6-002 7bullbull12-00 4426_002 1628-00 103-001 3801-004 0018 0020
bullbull 149_00l bullbull596-003
1526_005 1690-005
8 bullbull54_003 9339-00l
3109-005 3434-005
2228-002 2443-002
819-005 8983-005
4828_002 5236_002
1775-00 1925-004
1106-001 1180-001
4066-00 bullbull 3l9-004
0075 0030
5 718_003 681-003
2103_005 2516-005
1156-00Z 1380-002
4252-005 507-005
2986_00Z l534-002 1~g8 6279002
7344_002 2l09-004 2701-004
137-001 1575-001
s051-004 5 191-00
0035 7966-003 2930-005 160-002 5898-005 bullbull 086-002 1503-00 8 bullbull23-002 3097-00 1781-001 65bull 9- 004 000 9093-003 3345-00 1828-002 672-005 bullbull641-002 170700 9511-002 3bullbull97-00 1991-001 320-00 0045 0050
1022-002 1135-00Z
3761-00i 4177-00r
2053-00Z 2278-002
7551-005 8379-005
5197-00Z 575-002
1911-00 2116-00
1061-001 1171-001
3900-00 bullbull305-004
2203-001 2 bullbull17-001
8101-004 8 889-004
0060 13M-002 5011-00- 2728-002 100middot-00middot 6872-002 2528-00 139pound-001 5middot118-00 2850-001 1 048-003
0070 OORO 0090
1586-002 1h2-002 20l8-002
5848-005 6690-005 7537-005
3178-002 3629-002 bullbull 080-002
11 70-004 1l37-00middot 1505-004
799l-002 9116-002 10Z-001
2941-00 3l55-00 3770-00
161 4-001 1837-001 2060-001
59l6-00 657-004 7580-00bull
3287-001 3727-001 168-001
1209-00] 1037 1-003 1533-003
0100 0120
224_fl022715-002
8391-005 1013-00
bullbull5n-002 5435-002
1673-00 2012-00middot
1136-001 1362-001
bullbull 185-004 5021-00
2284_001 2732-001
840500bull 1006-003
4611-001 5500-001
1 696-003 2 02-003
0140 l17-002 119 1-004 6338-002 2357-004 1587-001 5861-004 l18Z-001 10172003 6393-001 2 353- 003 011i1) OlFJO o 00
l619-002
g~~gg~ 1l75-004 1568-004 1712-00
7241-002 815-00~9048-00
2707-004
~2~~8g 1812-001
~~~2ggl 6709-004 756-Og48432-0 4
36l1-001 4g81-oo 1bullbull 1 -001
103middot0-003 lII98-g03 16 7- Ol
7287-001 R18~-gol907 - 0
2 684-003
Ju~gn 0250 5603-002 2345-00 11l1-001 bull bullbullcmiddot-OOmiddot 2 828-001 1066-00l 5658-001 2107-003 1132middot000 41 91-003
Oloo 67~002 3046-00 1357-001 5540-on4 3392-001 1302-003 6785-001 250-003 1357middot000 506-003 0350 0middot00
7914_002 904_002
3932_004 5068_004
1583-001 1809-001
6842-004 8394-004
3957_001 bullbull 521-001
1557_00 1837-003
7913_001 901-001
3012-003 3bullbull99-003
1582000 1807middot000
5 920-003 6820-003
0450 0501)
1017-001 1110-001
653l_004 8412-00
20l5-001 2Z61-001
1027-003 12gt7-003
5g86-001 5 51-001
219-003 2503-00l
10P00O 1130000
4018-003 middot580003
2033000 Z258middot000
7 753-003 828-003
0550 1244-001 101f 0-003 2487-001 1537-003 6Z16-00l 2908-003 1243middot000 5192-003 2bullbull83middot000 9 15-003 0600 0650 0700
13r7-001 1bullbull70-001 15I1l-001
131S1-003 1757-003 2227-003
2713-001 2939-001 3165-001
1880-003 2Z97-003 2809-003
6780-001 7345-001 7910-001
3l76-00l l917-00l bullbull 554-00l
1356middot000 1bullbull68middot000 1581middot0011
5(167-003 66~60037bullbull 9-003
2709middot000 293bullbull000 3160-000
1middot08-002 1middot20n-002 l l 26-002
075n 1696-001 28e7-003 3391-001 3bullbull50-003 e475-001 5320-003 1694+000 8bullbull33-00l 3385middot000 1 465-002
0800 0850 0900
181)9-001 1922-001 2035-001
361Z-003 bullbull 669-00l 6122-003
3617-001 3843-001 4069-001
bullbull 217-003 5375-003 6870-003
900-001 9605-001 1017+000
6271-003 7bullbull94-003 9113-003
1807000 19200011 2033 +000
9r91-003 10102-002 1785002
3611middot000 3836+000 4062000
1622-002 1807-002 2 031-002
0950 1000
2148-001 2261-001
81 4O-OOl 1094-002
4295-001 4521-001
8929-003 11 77-002
1073000 1130000
1130-002 1426-00Z
2160011 225900011
152middot-002 1R41-002
4287+000 bullbull5130000
2 311-002 2 67 0-002
1100 74117-001 2002-002 4973-001 209-002 1243+000 2l68-002 248000 224-002 4964+000 3 136-002 1200 1300 14110
27)3-001 29~9_00l 315-001
l618-002 6319-002 1061-001
5 bullbull25-001 5878_001 6l311-001
3717-002 64i7-002 1072-001
1 356000 1469+000 1582+000
bullbull 017-000 6751-002 1107-001
Z710000 2936+000 316Z+000
bullbull 515-002 7290-002 1165-001
5415000 5866+000 6317+000
5509-002 e l68-OO2 1 281-001
1500 ll91-001 1713-001 6782-001 17C6-001 1 695+000 1763-001 3388+00U 1825-001 6768+000 i950-00l
Page 105
TABLE 10 ICO~TINUEO)
X 00030 X 0000 X 00050 )( 00060 )( bull 0middot0080 T P OSM u P OS U4 P OS U P OSM U P OSM u
11lt1 (TORR) (JOLE) (TORR) (JMOLEI (TORR) (JMOLE) ITORR) (JMOLEI (TORR) tJMOLE)
0000 t3116-001 803-00 2076-001 763middot-004 2967-001 1091-003 3966-001 1bullbull58-003 62bullbull-001 2 296-003 0001 0002 0003 000
1308-001 1315-001 1325-001 1339_001
bullbull811-00 bullbull83_00 bullbull872-004 bullbull925-00
2079-001 2085-001 2097-001 2113-001
76middot3-00middot 7668-00middot 7710-00middot 7769-00 4
2970-001 2 977-001 2990-001 3007-001
1092-003 109S-003 1099-003 1106-003
3969_001 3977_001 3990_001 bullbull 008_001
1bullbull59-003 1462-003 1bullbull67-003 1474-003
6247-001 6256-001 6270-001 6291-001
2 297-003 2 30 0-003 2 306-003 2 313-003
0006 1380-001 5074-00 2158-001 7935-1)0 4 3056-001 112-003 4060-001 1493-003 6348-001 20 33-003 0008 0middot010 0012 001middot
1middot5-00115112-001 1579_001 1665-001
5276-00 5523-004 5807-004 6122-00
222rOOl 229 -001 2387-001 2488-001
81 62-004 8445-004 8776-004 91 49-00
3123-001 3208-001 3308-001 3423-001
11middot8-003 11 80-003 121fo-003 12511-003
middot132-001 4223-001 middot332-001 bullbull 457_001
1519-003 1553-003 1593-003 1639-003
6 428-001 6 530-001 6652-001 fo795-001
2 36-003 2 401-003 2 4bull 6-003 2 498-003
0016 0018 0020 0025 0030
1707-001 1855-001 1957-001 2228-001 2513-001
6461-004 6821-004 71 96-00 8191-00 92middot1-00
2599-001 2718-001 28bullbull-001 3181-001 353-001
9557-004 99115-004 1046-003 1170-003 1303-003
3549-001 3686-001 3832-001 bullbull 228-001 658-001
1305-003 1355-003 1middot09-003 1555-003 1713-003
bullbull 597_001 bullbull 749_001 bullbull912-001 5360-001 5852_001
1690-003 176-003 1806-003 1971-003 21 52-003
6955-001 7132-001 732-001 78amp0-001 860-001
2551-003 2 623-003 2 693-003 2 890-003 3111-003
0035 000 005 0050 0060
2809-001 311 3-001 3middot22-001 3735-001 bullbull 371-001
1033-003 11 45-003 1258-003 1373-003 1607-003
3921-001 bullbull 3U-001 bullbull 712-001 5119-001 599-001
1bullbullmiddot2-003 1586-003 1733-003 1882-003 21 88-003
5112-001 558-001 6070-001 6567-001 758-001
1880-003 2053-003 2232-003 2415-003 2789-003
6376-001 6925_001 7bullbull92-001 8074-00l 9270-001
2345-003 2546-003 2755-003 2969-003 3bullbull 09-003
9110-001 9797-001 1051middot000 1125middot000 1279middot000
3350-003 3 602-003 3866-003 4138-003 bullbull r02-003
0070 0080 0090 0100 0120
50t5-001 565-001 6320-001 6 978-001 8301 001
18middot-003 2083-003 232-003 2567-003 305-003
6795-001 7650-001 8513-001 938ii-001 1113-000
2bullbull99-003 2813-003 31 31-003 3bullbullSo-n03 bullbull 095-003
8623 001 9678-001 107middotmiddot000 1182000 1399000
3171-003 3559_003 3951-003 437-003 5146-003
1050000 1175000 1301+000 14ii9000 1688000
3860-003 middot320-003 bullbull 785-003 5256-003 ~206-003
1 437000 1600middot000 1765000 1932+000 2272000
5286-003 SA83-003 6 49 1-003 7106-003 8 35-003
0140 9631-001 35bullbull-003 1289middot000 bullbull 73-003 1618000 5951-003 l9middot1J+000 71 67-003 2615middot000 9middotamp18-003 OlfoO 0180 0200 0250
IOCJ6middot000 1230middot000 136-000 1700middot000
bullbull 036-003 4531-003 5027-003 6277-003
1bullbull6~middot000 16bullbullmiddot000 1822+000 2268middot000
5396-003 6051-003 6709-003 8365-0(13
1838middot000 2059+000 2280middot000 2836middot000
6762-003 7577-003 8395-003 1045-002
2211middot000 2 bullbull75-000 274110011 3 bullbull0middot-000
81 34-003 9107-003 1middot008-002 125middot-002
2962middot000 3310middot000 3661middot000 452+000
)089-0021218-002 347-002 1673-002
0300 0350 0400 0bullbull50 0500
2036000 2373000 270000 3047000 33e-000
7542-003 8827-003 1014-002 1148-002 1287-002
2715+000 3163000 3611middot000 bullbull 060000 bullbull509000
100-002 1113-002 1345-002 1521-002 1701-002
3393000 3952000 bullbull512000 5072000 5632000
1253-002 1bullbull63-002 1676-002 1893-002 2114-002
middot072000 bullbull7410011 5411+000 608ii+000 6754000
1503-002 1753-002 2007-002 2264-002 2526-002
5421middot000 6315+000 7206middot000 8098000 8991middot000
2001-002 2 332-002 2667-002 3005-002 3 348-002
0550 3722middot000 1431-002 959-000 18116-002 6193000 2340-002 7426000 ~793-002 988000 3697-002 0600 0650 0700 0750
bullbull 060-000 4397middot000 4735-000 0073middot000
151lt002 1738-002 1906-002 20116-002
5bullbull08+000 5858middot000 6307middot000 6757middot000
2077-002 2275-002 2bullbull84-002 2705-002
675middot000 7315middot000 7877000 8bullbull39middot000
2512-002 2812-002 3061-002 3323-002
809111000 8771+000 9bullbull4middot000 1012middot001
3066-002 33middot7002 3637002 3940-002
1078-001 1167middot001 1257middot001 136middot001
bullbull 052-002 414-002 bullbull 186-002 IIln-002
0800 0850
5bullbull0000 5748000
2284-002 2510-002
7207middot000 7657000
295-(102 3212-002
9000+000 9562000
360-002 3912-002
1079001 11middot6001
4262002 4611-002
1middot36middot001 1526001
5575 002 6006-002
0900 0900 1000
6086middot000 6424+000 6762000
2775-002 3097_002 3bullbull97-002
8107000 8557000 9007000
3518-002 3881-002 323-002
1012001 1069+001 1125001
4260-002 466-002 517-002
1214001 1281001 138+001
5000-002 546002 5969-002
1615middot001 1705-001 1795+001
6middot77-002 7004-0027 610-002
1100 7bullbull38middot000 66-002 9907000 5554-002 1237001 6460-002 1bullbull83001 7365-002 197-001 9169-002 1200 1300
811middotmiddot0008790000
6501-002 9 bullbull3-002
1081001 117hOOI
7bullbull92-002 1052-001
1350001 1 462001
881-002 1159 001
1618001 1753001
9468-002 1266-001
2153+001 2333001
1144-001 1479-001
1middot00 1500
9466middot000 101middot001
1397-001 207-001
126hOOl 1351+001
1513-001 21 97-001
1575001 1687001
1628-001 2321-001
18811001 2023001
113-001 2bullbullmiddotmiddot-00
2512middot001 2692+001
1 973- 00 2 691-001
Page 106
TABLE 10 (CONTINUED)
It bull 00100 X bull 00150 X bull 00200 X bull O O4ljO X bull Ch0300
p 0514 U4 P OSM U4 POSH U4 POSH U4 P OSM U4 (I() ITORR) IJMOLE) (TORR) (JMOLEI nORR) IJMOLEI (TORR) (JMOLEI (TORR) IJMOLpound)
0000 8845-001 3252-003 1647+000 6056-003 2532+000 Q310-00J 3506+000 1289-002 4545+000 1671-002 0001 8848_001 3254-003 1647+000 1gt057-003 2532+000 9312 003 35060000 189-002 4546 0000 1 67 1-0020002 8811i8-001 3257-003 16480000 1gt061-003 2534+000 9316-003 35080000 1 bull 90-002 4547+000 1672-002 0003 8873-001 3263-003 1650+000 1gt068-003 2535+000 93gt3-003 3510+000 129 1-002 4549000 1 6n-002 00114 A8Q5-001 3271-003 165J+000 6077-003 2531hOOO 9333-003 3513+00u 1292-002 4552000 1674-002
0006 8957-001 3294-003 166U-000 6103-003 2546+000 9362-003 3521-000 1295-002 4561+000 1677-002 0008 q044-001 3325-003 1670+000 61 40-003 2557+000 Q403-003 3533-00U 1 bull 99-002 4574-000 1 682-002 0010 9154-001 3366-003 1683+000 61 87-003 2571-000 9454-003 35480 0011 1305-002 4590-000 1688-002 0012 92A8-001 3lt15-003 1698_000 6244-003 2588+000 9518-003 3567+000 1312-002 4610-000 1 695-002 001 4 Q1I44-001 31172-003 1716+000 6311-003 2 609-000 9592-003 3589_000 l3l0-002 4633+000 1104-002
0016 9621-001 3538-003 1737+000 6387-003 2632-000 9677-003 361 4-000 1329-002 4660-000 1 714-002 00)8 98]8-001 3610-003 1761000 6473-003 2658000 9774-003 364 ii000 1339-002 4691000 1 725-002 0010 1003-000 3689_003 1786+000 6568-003 2687+000 9880-003 3674000 1351-002 4725000 1 737-002 0025 104_000 3913_003 1861+000 6842-003 2772000 1019-002 3767000 1385-002 4824+000 1 77002 0030 11]3000 It167_003 1948+000 71 62-003 2872000 1056-002 3977000 1426-002 4943+000 19 19-002
0035 1209-000 11445-003 204imiddot000 7520-003 2 986+000 1098-001 4005+000 1473-002 508+000 1 869-002 0040 1iiQO+000 4743-003 2151-000 7911-003 3112000 1144-00 4147middot00U 1525-002 5238+000 1926 -0020045 1375000 5056-003 226i+000 8329-003 3248-000 1194-002 4302+000 1582-002 5409-000 1 989-002 0050 1464000 5382-003 238HOOO 8769-003 33911-000 12118-002 4469+000 1643-002 5594-000 2057-0020060 1648+000 6061-003 2639000 9703-003 3706+000 1363-002 483ii+000 1777-002 6001+000 2 207-002
0070 1841+000 6769-003 2908+000 10laquogt9-002 4042+000 1486-002 5227000 1922-002 6 448-000 2 37 1-002 OOM 2039000 7497-003 3187-000 1172-002 4395+000 1616-002 5645000 2076-002 6 927+000 2 547-002 0090 2241+000 8241-003 3476-000 1278-002 4761+000 1751-002 6083000 2237-002 7430-000 2732-002 0100 2446+000 8996-003 3771000 1387-002 5139+000 1890-002 653700U 2404-002 7954+000 2 925-002 0120 2864000 1053-002 4 37i+000 1609-002 5917000 2176-002 7479+000 2750-002 9050+000 3 328-002
0140 32A8~000 ]209-002 4993-000 1836-002 6719+000 2471-002 8455-000 3109-002 10 0 19+00 1 3 148-002 0160 371 7000 1367-002 5621-000 2067-002 7538-000 2772-002 945700U 3478-002 1152+001 4 235-002 Oleo 4149+000 1526_002 6257000 2301-002 8 4 011 +000 3091-002 1050001 3963-002 1260001 4634-002 0200 4584 000 1687-002 6897000 2537-002 9208+000 3387-002 1151001 4233-002 1379+001 5072-002 0250 5679000 2091-002 8516000 31 34-n02 1134_001 4172-002 1414 +001 5 bull 01-002 1amp91001 6219-002
0300 6780000 2499-002 1015001 3737-002 1349-001 4967-002 1680+001 1gt184-002 2008middot001 7 388-002 0350 7886000 2910-002 1179+001 4347-002 1567+001 5770-002 19iO-001 7]80-002 2329001 8 573-002 0 400 8995+000 33l5-002 134-001 496 1-002 1785+001 6581-002 2221-001 81 84-002 2652-001 9 769-0020 450 1011-001 374-002 1510-001 558 0-002 200lt-001 7398-00lt 249+001 91 97-002 2977001 1)98-001 0 500 1122001 41 68-002 1676-001 6205-002 2224+001 8222-002 2767001 1022-001 330001 1 219-001
0550 1233-001 4598-002 1842-001 6836-002 2 445-001 9052-002 304Z+001 1125-001 3632001 1 342-001 0600 1345001 5034_00i 2008 001 7473-002 2 666+001 9 890_002 331 7+001 1228_001 3961_001 1465-0010600 147001 5478-002 2175+001 81 19-002 2887001 1074-001 359Z_001 1333-001 4290-001 1590-001 0700 1568_001 5931-002 2342+001 8775-002 3108001 1159-001 3868_001 1439-001 4620+001 1r15-0010750 1 680+001 6398002 2509 +001 94middot5-002 3330001 1246_001 4144+001 15116-001 4951+001 1 1142-001 0800 1792001 6883-002 267amp-001 1013-001 3552-001 1335-001 4420+001 1(55-001 52111 +001 1 971 -001 0850 1914+001 7396-002 2843001 1085-001 3774+001 14n-001 4697+001 1767middot001 5613+001 2middot103-0010900 2015+001 7948-002 3010+001 1160-001 3996+001 1523-001 4974-001 1883-001 5944+001 ZZ39-001 0950 2127001 8557-002 3177+001 12112-001 4218001 1625-00] 5251+001 Cl004-001 6276-001 2 38 1-001 1000 2239 -001 92115-002 3344-001 1331-001 41141001 1734-001 5528-001 21 34-001 6608+001 2 531-001
1100 2463+001 1097-001 3679+001 1511 11-1101 4885+001 1987-001 6083001 2428-001 7272001 2 865-001 1200 26A7+001 1340001 401 4 001 1828-001 5331+001 2312-001 6638_001 2793-001 7937-001 3 27 0-001 1300 2911_001 1692_001 4349+001 2220-001 5776+001 2745-001 7194+001 3266-001 8603001 3 r84-0011400 3135001 2202-001 4684+001 2771-001 6222001 3337-001 7750+001 3899-001 9269001 4 1157-001 1500 339+001 2936001 501 9 001 3546-001 6667_001 4152-001 8306+001 11755-001 9935-001 5 354-001
Page 107
TABLf 10 (CONTINUED)
)I bull 00350 X bull 00400 X bull 00450 ~ bull 00500 X 0O5gt0
T P OM U4 POSH U4 P OSM U4 P OS U4 P OSM U4 (K) (TORRI CJMOLE) CTORRl IJMOLE) nOAA) (JMOLE) (TOAA) (JMOLEI (TORA) IJMOLEI
0000 0001
1]631+000 5631+000
2070 002 2071-002
6748+000 6749+000
2481-002 2482-002
7885+000 78116+000
2899-002 2900-002
9031+000 9034000
3321-002 3321-002
101 1hOOl 101A001
3 742- OO 3 73-002
0002 0On3 0004
5633000 563150000 5 618000
2071-002 2072_002 2073-002
6750000 6753+000 6756000
2482-002 2483-002 2484-002
7887000 7890+000 7894000
2900-002 2901-002 2902-002
90340011 90360011 9040+000
3322-002 3323002 3324-002
101Smiddot001 1018+001 1019001
3 743-002 3744- 002 3146-002
0006 5648000 2077-002 6766+000 2488-002 7904+000 2906-002 9051000 3328-002 1020+001 3 750-002 0008 0middot010 0012
56amp1+000 678+000 5699+000
2082-002 2088-002 2096-002
6780+000 6798+000 6820+000
2493-002 2500-002 2508-002
7918000 7937+000 7960+000
2912-002 2 9111-002 2927-002
9066 +000 9085 +000 9109+000
3333-002 3341-002 3349-002
1021+001 1middot023001 1026+001
3155-002 3763-002 3 772- 002
0014 7 4+000 2105-002 6846+000 2517-002 7987+000 2937-002 9137+000 3360-002 10029+001 3 782-002
0016 Oots 0020 0025 0030
5752000 5784+000 5 820+000 5 926000 6003+000
2115-002 2127-002 2140-002 2179-002 2226-002
6876+000 6909+000 6947+000 7058+000 7192+000
252R-002 2541-002 c554-002 2595-002 264-002
8018+000 8053000 8092+000 8Z08+000 8348000
29411-002 291-002 2976-002 30111-002 3070-002
9169000 9206000 924600U 9366000 951200U
3HI-002 3385-002 3400-002 3444-002 3498-002
1032+001 1036001 1040001 1052middot001 1068+001
3795-002 3809-002 10 11 24-002 3870-00~ 31i25-002
0035 6201000 2280-002 7348000 2702-002 8512+000 3130-002 9684+000 3061-002 1085001 399 1-002 0040 0045 0050
6368000 504+000 6755+000
2342-002 2410-002 2484-002
7526+000 772000 7940000
2767-002 2840-002 2919-002
8699+000 8908000 9137000
3199-002 327S-002 3360-002
98711+0011 1010001 1034+001
3633-002 3713-002 31101-002
1106001 11211+001 1154+001
4066-002 4149-002 4442-002
0060 7201+000 2648-002 8420000 3096-002 9649+000 354111-002 1088+001 4000-002 1210001 4450-002
0070 0090 0090 0100 0120
7695+000 9227+000 A792middot000 93R2+000 1062+001
2829-002 3025_002 3233-002 3450-002 3906-002
8956+000 9539000 1016+001 1081+001 121 9+001
3293-002 3507-002 3736-002 3975-002 4482-002
1022+001 1085001 1152001 1223001 1374001
3759-002 3990-002 4~3~-002 4498-002 5053-002
1149+001 1216+01)1 1288001 1365001 152t1+001
4225-002 4411-002 4731-002 5017-002 5~17-002
1275001 1346001 122middot001 1504001 1679+001
4 687-002 4 948-002 5 230-002 5530-002 6174-002
0140 11112+001 4385-002 1365001 5018-002 1534+001 5642-002 1702001 6257-002 1866001 61162-002 0160 0180
1339+001 1468 +001
4923-002 5397-002
1527001 1673+001
5615-002 6151-002
1112001 1875+001
6297-002 6894-002
1895001 2073001
61168-002 7625-002
2074001 2268+001
7626-002 amp341-002
0200 1605+001 5903-002 1828001 6723-002 2048+001 7530-002 2263+001 8322-002 2474001 9099-002 0250 1964001 7225-002 2234+001 8216-002 2499+001 9191-00lt 2759001 1015-001 3015001 1109-001
0300 0350
2331+001 2702001
8576-002 9947-002
2649001 3071+001
9746-002 11 30-001
2962001 3 434+001
1090-001 1264-001
3270001 3791+001
1203-001 1395-001
3573001 4142001
1 314-001 1l24-001
0400 0450
3078+001 3455001
133-0011273-001
3498+001 3927+001
1289-001 1447-001
3911+001 4393001
1441)-0011618-001
4319+001 4851+001
1590-001 1787-001
4720001 5303+001
1131-001 1 953-001
0500 3835001 1414-001 4359001 1607-001 4877+001 1797-001 53870001 1985-001 5891001 2 17 0-001
0550 4216+001 1556-001 4793+001 1769-001 5363+001 1979-001 5926001 2185-001 6482+001 2390-001 0600 4598+001 1700-001 5229+001 1931-001 5852+001 2161-001 64611+001 2387-001 7076+001 2 611-001 0650 0700
4991+001 5365001
1844-001 1989-001
5665001 6103+001
2095-001 2260-001
6342+001 6833+001
2344-001 2529-001
7011+001 7556001
2590-001 2795-001
7672001 A270middot001
2 833-001 3 057- 001
0750 5750001 2136-001 6541+001 2427-001 7325+001 2716-001 8102001 3001-001 9870001 hil93-001
0800 6135001 2285-001 6980+001 2596-001 7818+001 2904-001 8649001 3210-001 9471001 3512-001 0850 6520+001 2437-001 7420+001 2768-001 8312+001 3096-001 9196+001 3421-001 1007+002 343-001 0900 0950
6906+001 7292001
2593-001 2755_001
7860+001 8301+001
2944-001 31 26-001
8807+001 9302+001
3292-001 3494-001
9745+001 1029+002
337-001 3859-001
1068+002 1128002
3 979-001 4 22 1-001
1000 7679001 2925-001 8742+001 3316-001 9797+001 3704-001 1084002 4089-001 119900C 4471-001
1100 8453+001 3299-001 9625001 3730-001 1079+002 4158-001 1195002 4584-001 1309+002 5 006-00 1200 92t7+OOl 3745-001 1051+002 4216-001 1178+002 4685-001 1305002 5150001 1431002 5612-001 1300 1000+002 4299-001 1139+002 4811-001 1278+002 5320 001 1415002 5A25-001 1552002 63211-001 1400 1500
1078+002 1155002
5012-001 5949-001
1228+002 1317002
5564-001 6542-001
1377+002 1477+002
6114-001 732-001
1526+002 1637+002
6660-00 7718-001
1674+002 1795002
7 Z03-00 8 302-001
Page 108
TlBLE 10 (CONTINUED)
)( 00600 )( 00640 )( 00650 X bull 00700 X bull 00750
P OSM U4 P OSM U4 P OSM U4 P OSM U4 P 05104 U4 IK) tTOqR) (JMOLE) (TORR) (JMOLE) ClORR) (JMnLE) (TORR) (JMOLE) (TORR) tJMnL[)
0000 1132001 4161-002 1222001 4492-002 1244001 4574-00i 1354 001 4980-002 1462001 5 376- 002 0001 1132001 4161-002 1222001 4492-012 1244001 4575-00i 1354001 4980-002 1462001 5 376-002 0002 1132001 4162-002 1220001 4493-002 1244001 457S_002 1355001 4981-002 1 462001 5377-002 0003 1132001 4163-002 1222001 4494-002 1245001 4576-002 135S001 4982-002 1463middot001 5378-002 0004 1133001 4164-002 1223001 4496-002 1245001 4578-002 135S001 4q84-002 1463middot001 5380-002
0006 1134001 4169-002 1224001 4500-002 1246001 4582-002 1357001 4Q88-002 1 464001 5384-002 0008 1135001 41 75-002 1225001 4506-002 1248001 4088-002 1358001 4994-002 1466001 5 391-002 0010 1137 001 41 82-002 1228001 4514-002 1250001 4591gt-002 1360001 Sn02-002 1468001 5 399-002 001 2 1middot140001 41 9 1-002 1230001 4023-002 1253001 4606-002 1363001 5012-002 1471001 5+09-002 001 4 1143001 4202-002 1233001 4534-002 1256001 4617-002 1366001 S1)24-002 1 474001 5+21-002
0016 1146001 4215-002 1237001 4547-002 1259001 41gt30-002 1370001 5037-002 1478001 5434-002 001 8 1100001 4229-002 124hOOI 4562-002 1263001 4645-002 1374001 50S2-002 1 482001 5 450-002 0020 11S5001 4245-002 1245001 4578-002 1268001 4661-002 1379001 5069-002 1487001 5 467-002 0025 1167001 4293-002 1258001 4627-01)2 1281001 4710-002 1392001 5119-002 1501001 5 518-002 0030 111l13001 4350-002 1274001 4686-002 1297001 4769-002 1 409001 5180-002 151$001 558-002
0035 1201001 4418-002 1293001 4755-002 1316001 4839-002 1428001 S252-002 10538001 5 b55-002 0040 10222001 4495-002 1315001 4834-002 1338+001 4919-002 1451+001 5334-002 1561001 5 139-00shy0045 1246001 4582-002 1339001 4924-002 1362001 5008-002 1476001 5427-002 1587001 5middot M34-OO2 0050 1272001 4678-002 1366001 5023-002 1389001 5lOR-002 1504001 5529-002 1616001 5 94 0-002 0060 131001 4895-002 1427001 5247-002 1 451001 5334-002 1567001 5763-002 1681001 6 181-002
0070 1399001 5144-002 1497+001 5503-002 1S21001 5592-002 1640001 6031-002 1757001 6 459- 002 OOlllO 1474001 5418-002 1574001 5788-002 1599001 S880-002 1722001 6331-002 1841+001 6 770-002 0090 15155001 5716-002 1658+001 6098-002 1684+001 6192-002 1811001 o~58-g02 1934001 7110002 0100 1641+001 6033-002 1748001 6429-002 1175001 6527-00~ 1906+001 1008-002 2033middot001 7476-002 0120 18gt7+001 6720-002 1944001 71 47-002 1972+001 7252-002 211 4 001 7771-002 2251001 8 275-002
0140 2027001 7454-002 2153001 7918-002 2184001 8032-002 2338+001 8595-002 2486001 9 141-002 0160 2249+001 8271-002 2386001 8715-002 2~20middotOOI 8900-002 2587+001 9511-002 2148001 1011-001 0180 2459001 9042-002 2608+001 9590-002 2645001 9725-002 21126001 1039-001 3001001 1104-001 0200 26111001 9859-002 2843001 10~5-001 2 883001 1060-001 3079 001 11 32-001 3270001 1 202-001 0250 32t-5middot001 1201-001 3461+001 1273-001 3509+001 1291-001 3747001 1378-001 3979001 1 463- 001
0300 3869001 1423-001 4101001 1509-001 4159+001 1530-001 4442001 1634-001 4718001 1 735-001 0350 4486+001 1651-001 4757+001 1750-001 4824001 1775-001 515f)001 18lt16-001 5478001 2 015-001 0400 514001 1882_001 5424001 1996-001 5500001 2024-001 5880001 2164-001 6252001 2301-001 0450 5748001 2116-001 6098001 2245-001 6185001 2277-001 661 5001 2435_001 7037001 2 590-001 0500 6381001 2353-001 6778001 2497-001 6875001 2532-001 7356+001 2709-001 7829001 2883-001
0550 7030001 2591-001 7463+001 2750-001 7571001 2190-001 8103+001 2986-001 8627001 3178-001 0600 7677001 2832-001 8150+001 3006-001 8270001 3049-001 8854 001 3264-001 Q431+001 3476-001 0 650 11326001 3014-001 8843001 3264-001 8972001 3311-001 9609+001 3545-001 1middot024+002 3 777-001 0700 8977+001 331-001 9537001 3523-001 9676+001 3S74-001 10037002 3R28-001 1middot105002 4079-001 0750 9630001 3563-001 1023002 3785-001 1038+002 3840-001 1113+002 4111-001 1186002 4384-001
0800 1028+002 3811-001 1093002 4049-001 1109002 410B-001 1189002 4401-001 1268+002 4 69 1-001 0850 1094+002 4063-001 1163+002 4316-001 1180002 4379-001 1265002 4692-001 1350+002 5002-001 0900 1110+002 4318-001 1233+002 4581-001 1251+002 4654-001 1342002 4987-001 1432+002 5 317-001 0950 1226002 4580-001 1303+002 4865-001 1322+002 4936-001 1418002 5289001 1514002 5639-001 1000 1291002 4850-001 1373002 51 51-001 1394002 5226-001 1495002 5599-001 1596+002 5 969-001
1100 14raquo3+002 5425-001 151 4002 5758-001 1537002 5841-001 1649002 6255-001 1761002 6 665-001 1400 1506+002 6072-001 1655002 6431-001 1680002 6529-001 1803+002 6q82-001 1 926+002 7 433-001 1300 1688002 6828-001 1196+002 7226-001 1823002 7325-001 1958002 7B1 9-OO1 2091002 8 310-001 1400 1821+002 7743-001 1938002 81 74-001 1967middot002 8281-001 2112middot002 eH600 2257002 9 348-001 1500 1953002 8883-001 2019+002 9346-001 2111+002 9461-001 0267002 1004+000 2423002 1061+000
Page 109
TABLE 10 (CONTINUEO)
X 00800 X 00900 X 01000 X 01100 X 01200
p OS U4 P OS U4 P OSM U4 P OSM U4 P OSM U4 (K) (TORR) (JMOLE) (TORR) (JMOLE) (TORR) (JMOLEI (TORR) IJOLE) ltTORR) IJMOLE)
0000 1567middot001 5760middot002 1764 +001 6487-002 1944+001 7147-002 2102+001 7730-002 2237middot001 8 224-002 0001 1567+001 5760-002 1761H 001 6487-002 1944+001 7147-002 2103001 7730-002 2237middot001 8225-002 0002 1567+001 5761-002 1765+001 6488-002 1944middot001 714~-002 2103-001 7731-002 2237-001 8 226-002 0003 t567middot001 5762-002 176)middot001 64 89-002 1 945-001 7149-002 2103_001 7732-002 2238-001 8 227-002 0004 1568_001 5764_002 1765-001 6491-002 1 945001 7151-002 2104001 7734-002 2238-001 8 229-002
0006 1569middot001 5769-002 1767middot001 6496-002 1 946001 7156-002 2105-001 7 39-002 2240-001 8 234-002 0008 1571001 5775-002 1769001 6502-002 1948001 7163-002 2107-001 7746-002 2242-001 emiddot 242-0020010 1573-001 5784-002 1771-001 6511-002 1951-001 7172-002 2110-001 7756-002 2245-001 8252-002 0012 1 576001 5794-002 1774middot001 6522-002 1 954001 7183-002 211 3-001 7767-002 2248001 8e63-002 0014 1579001 5806-002 1777001 6535-002 1 957-001 7197-002 211 6 001 7781-002 2e52-001 8e78-002
0016 151l001 58eO-002 1781001 6549-002 1962001 7212-002 2121-001 7797-002 2256middot001 8294-002 001 8 1597001 5836-002 1786001 6566-002 1966001 7229-002 2126+001 7fl15-002 2261-001 8 312-002 0020 1592-001 5854-002 1791-001 )584-002 1971-001 7248-002 213hOOl 7e35-002 2267+001 e333-002 0025 1606+001 5906-002 1806middot001 6639-002 1987+001 7305-002 21 47 001 7894-002 2283-001 8394-002 0030 1604-001 5970-002 1824-001 )706-002 2006-001 7375-002 2167+001 7966-002 2304-001 8 468-002
0035 1644001 6045-002 1845middot001 6785-002 2028-001 7457-002 2190-001 8051-002 2328-001 8 557-002 0040 161110001 6132-002 1870-001 6876-002 2054001 7552-002 221 7-001 81 49-002 2357-001 8 667-0020045 1694001 6230-002 1898-001 697-002 2083-001 7658-002 2247_001 8260-002 2387001 8774-002 0050 1774001 6339-002 1929001 7092-002 2115-001 7777-002 22810001 8384-002 2 421-001 8 901-002 0060 1791-001 6587-002 2000-001 73 53-002 2190-001 11051-002 2358-001 8668-002 2501-001 195-002
0070 1869-001 6873-002 2082001 7656-002 2276001 8369-002 2448_001 9001-002 2595001 9 541-002 OOAO 1907001 7195-002 2175-001 7998-002 2374_001 87lt9-002 2551001 9378-002 2702-001 9 935-002 0090 2053_001 7548_002 2277-001 8374-002 2484001 9131-002 2666001 9flOO-002 2822-001 1038-001 0100 2116-001 7928-002 2389+001 8783-002 2 600-001 9561-002 2789-001 1025-001 2951+001 1085-001 0120 gt3R30001 8762-002 2633001 9682-002 2861+001 1052-001 3065001 1127-001 3243-001 1192-001
0140 2630001 9669-002 2901-001 1067-001 3149001 11M-001 3372+001 1gt40-001 3S67-001 i31l-001 0160 2904001 1068-001 3200001 11 77-001 3 471001 1276-001 3716001 1366-001 3931middot001 1445-001 OlRO 311-001 1166-001 3494001 1285-001 3790001 1394-001 4059_001 1492-001 bullbull298-001 1580-001 0200 3455-001 1270-001 3806-001 1399-001 4130001 1519-001 4426001 1627-001 4691middot001 1 12C-0010250 42r15middot001 15lt6-001 4635+001 1704-001 5036-001 1852-001 5 1 4060ll1 1988-1ll1 5744-001 2112-001
0300 4988001 1835001 5505middot001 2025-001 5991001 2203-001 6445+001 2370-001 86001 ~524-001 0350 5794001 2131-001 6403001 2355-001 6980001 2567-001 7523_001 2761-001 8030001 ~953-001 0400 6616001 2434-001 7321001 2694-001 7993001 2940-001 8629001 374-001 9230middot001 3 395-001 0450 7451001 2742-001 8254001 3037-001 9023-001 3320-001 9757001 3590-001 1045+002 3846- 0010500 8294001 3054-001 9198001 3386-001 1007002 3706-001 1090002 4012-001 1170002 4304-001
0550 9144001 3368middot001 1015-002 3738-001 1112002 4095-001 1206002 4439-001 1295002 4769-001 0600 9999+001 3685-001 1111-002 4094-001 1219002 4489-001 1322002 4870-001 1422middot002 5 238-001 0650 1086002 4005-001 1207002 4452-001 1326+002 4886-001 1440002 5306-001 1550002 5712-001 0700 1172002 4327-001 130bullbull 002 4813-001 1 433002 528~-001 1558_002 5744-001 1679002 6 189- 001 0750 121119002 4651-001 1402-002 51 76-001 1541+002 5688-001 1677002 61 81-001 10809002 6 671-001
0800 1346002 4978-001 1500002 5543-001 1650+002 6094-001 1796002 6632-001 1939-002 7156-001 0850 1433middot002 5309-001 1598+002 5913-001 1758-002 6504-001 1916002 7082-001 2069-002 7046-001 0900 1510002 5644-001 1696002 6288-001 1867002 6920-001 2036002 7538-001 2200002 S142-001 0950 1608002 5986-001 1794 002 6670-001 1977002 7342-001 2156002 8000-001 2331middot002 8 644-001 1000 1696002 6336-001 1893002 7060-001 2086002 7772-001 2276002 8470-001 2463002 9155-001
1100 1871002 7072-001 2091002 7877-001 2306002 8670-001 2518002 9450-001 2727002 1 022000 1200 2048+002 7881-001 2289-002 8767-001 2527002 9641-001 2761+002 1050000 2992002 1135000 1300 2224-002 8799-001 2487-002 9767-001 2747002 1072-000 3004 -002 1167-000 3258002 1260+000 1400 2401-002 9877 001 2686+002 1093-000 2969002 119000 324amp-002 1299-000 3524+002 1 400-000 1500 2578002 1118-000 21186+002 1231+000 3190-002 1343-000 3492_002 1454-000 3791-002 1564-000
Page 110
TABLE 10 (CONTINUED)
)( 01300 )( 01400 X bull 0middot1500 X bull 01600 X bull 01 800
P 0gt U4 P OS U4 P OS U4 P OSM U4 P OSM U4 (K) (TO~RI (JMOLE) (TORR) (JOLE) nORR) (JOLEI (TORR) (JMOLEI (TORR) tJOLE)
0300 7248001 2665-001 7594+001 2792-001 7902001 2905-001 8170+001 1003-001 8578001 3 152-001 0350 0 400
13501+001 9792001
3126-001 3601-001
8933001 1032002
3285-001 3794001
9 1 326+0111 1080+002
34ZQ-QU3971001
9677+QQl 1124002
3558-gU 41 33-001
1025002 1middot199+002
3 768-001 4 408-001
0450 1111002 408B-001 1173002 4315-001 1231002 4527-001 1284+002 47Z3-001 1318middot002 5061-001 0500 1245002 458Z-001 1317+002 4846-001 13a5+00z 5094-001 1448+002 53Z6-001 1middot56100Z 541-001
0550 13111+002 5084001 1463+00Z 5384-001 1541002 5669-001 161 4 002 5938-001 1747middot00Z 4Z7-001 0600 1519002 5591-001 161100Z 59Z9-001 1 699+00Z 6Z52-001 1782+002 6559-001 1936+002 71Z3-001 0650 0700 0750
1657+002 1796002 191700Z
6103_001 66Z0-001 71 41-001
1760+002 1910+00Z 2060middot00Z
6480-001 70 36-001 7596-001
1858+002 Z019+00Z Z180002
6841-001 7436-001 8035-001
195c002 2123+00Z Z29b00Z
71 87-001 7AZO-001 8459-001
21Z7+00Z Z319+002 251300Z
7 8Z7-OO1 8 539-001 9 258-001
0800 207700Z 7666-001 2Z1Z+00Z 81 61-001 Z343+00Z 8640-001 Z469002 9104-001 2709+00Z 9 982-001 0850 0 900 0950 1000
ZZ19+00Z 2361002 Z503+00Z 2646+002
8196-001 8731-001 9Z74-001 98Z6-001
2364middot00Z 2S17+00Z 2671+002 2824+002
8731-001 9307-001 9890-001 1048+000
Z506+002 Z670+00Z Z834+00Z 2999+002
9250-001 9867-001 1049+000 1112+000
264300Z Z91 8+00Z 2994+00Z 370middot00Z
9754-001 1041000 1108+000 11 75000
2 90Smiddot00Z 310Z+00Z 3300middot00Z 3499+002
1071000 1145+00( 1middot 2Z 0+ 000 1 296 000
1100 2932+00Z 1097+000 3133middot00Z 11 71middotOno 333000Z 1243+000 35Z4002 1314000 38911middot00Z 1 452 +000 1200 3Z19middot00Z 1219000 344002 1301+000 3 b63+00Z 1382+000 387900Z 1461+000 4300+00Z 1 61lmiddot000 1300 1400
3511+002 379600Z
135Z000 1501+000
375400Z 4066 +002
14Z000 1599+000
399700Z 4331+00Z
1531+00n 1697+000
4236+002 4594+00Z
1619+000 1793+000
4702+002 S107+00i
1 790 000 1 98 1000
1500 4086+002 1672000 4378002 1779+000 4667002 1885+000 4952002 1990000 551Z+002 2 195000
TABLE 10 (CONTINUED)
)( 02000 X nZ250 X 02500 X 0Z7SO X bull 03000
p OS U4 P OSM U4 P OS U4 P OS U4 P OS U4 (K) (TORRI (JMOLE) (TORRI eJMOLE) (TORR) (JMOLEI eTORR) (JMOLE) (TORRI IJOLEl
0300 8807001 3236-001 88Z1+001 3240-001 8510001 3124-001 7f4b+001 2878-001 6801+001 2 493-001 0350 1064middot002 3910-001 108~+00Z 3987-001 1074middot00Z 394Z-001 1026+002 3766-001 9409+001 3449-001 0400 0450 0500
IZII)6+00Z1453+00Z 16-6+00Z
4614-001 5341-001 6086-001
1Z98middot00Z 1519+00Z 1746+00Z
4770-001 5581-001 6414-001
1308+002 155Z+00Z 18Z+QQZ
4803-001 5697-001 ~618-QOl
IZ82+002 1548+00Z 18Z3+00Z
4704-001 5681-001 690-001
1217+00Z 1506+00Z 1805002
4464-001 55Z3-001 6 619-001
0550 18I)Z+002 6846-001 1977-002 7Z65-001 Z058+00Z 7561-001 Z104+002 7724-001 2111+002 145-001 0600 0650 0700 0750
Z071+00Z 2Z113+00Z 2491-00Z Z713+00Z
7617-001 8399~001 9189-001 9987-001
Z212+002 Z450-002 Z691+00Z 2934+00Z
81 31-001 9009-001 9898-001 1080000
Z319+002 25114+00Z Z85Z+002 3123+002
8521-001 9496-001 1048+000 1148+000
Z391+002 Z683_00Z Z978+002 3Z7600Z
8779-001 9-51001 1094+000 1204000
Z425middot00Z Z743+002 3066+00Z 3393+002
11895-001 1 007 -000 1 1Z5 +OOO 1246+000
0800 0850 0900 0950 1000
29~0middot00Z 3148+00Z 3368+00Z 3589+002 3810middot00Z
1079+001) 1161+000 1243-000 13Z6-000 1410-000
3179002 34Z6+002 3674+002 3923+00Z 4173+00Z
1110000 IZ6Z+000 1354 +000 1449+000 1543+000
3396+00Z 3 671+00Z 3948+00Z 42Z6+002 4505+00Z
1Z49000 13H+000 1454+000 1558+000 1664+000
3571hOOZ 388200Z 4188_00Z 4495+00Z 4805+002
1315000 1428+000 1541000 1656 +000 1772+000
37Z3+00Z 4056-00Z 439Z+00 41 47Z9+002 5069+00Z
1 368000 1 49 1+000 1 615000 1 74 1+000 10 868+000
1100 4256+002 158Z+000 4677+00Z 1736+000 5068+002 1879+000 54Z8+00Z Z010000 0753+00Z ZIZ8+000 IZ00 1300 1400
4703+002 5153+002 5605+00Z
1763+000 1955+000 Z164000
5184-002 5693+002 6Z0 4+00Z
1939+000 ZI12middotOQO Z383+000
5635+00Z 6Z04+00Z 6776+00Z
Z103+000 Z339+000 Z592-000
6055+00Z 6686_002 7320middot00Z
Z256-000 ZSI5+000 Z790+000
6 443middot00Z 7137+00Z 7834+00Z
2 396 +000 2middot b78 +000 Z976+000
1500 605 7 -002 2395+000 6717+002 Z637+000 7351+00Z Z86+000 7957+002 3089+000 8535+002 3 Z98 -0OO
Page 111
TABLE 11
THE SPECIFIC HEAT 0 THE TOTAL HE3 - HE4 ~OLUTION
C IJMOLE-I()
TX 01001 00002 00005 00010 00020 00030 00040 00050 00060 00080
(I()
0000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 0002 0003
6509-004 949_004 1066_003
8928_004 1516_003 1853_003
1254_003 2402_003 3316_003
1593-003 3139_003 4514-003
2016_003 4010_003 5956_003
2314-003 4613_003 6882_003
255it_003 5094_003 1112-003
215-003 S50_003 8 I29-003
2933-003 5858_003 8168_003
3239-003 Amiddot12-003 9 693-003
0004 1124-003 2040-003 3910_003 5828_003 1821-003 9101_003 1010-002 093-002 1166_002 i290-002
0006 1171-003 2221-003 4180-003 1103-003 1115-002 13l9-002 1489_002 1620-002 113l-002 1 923-002 0middot008 lol01-003 2middot315-003 5l1 4-003 8924-003 1382-002 1100-002 1932-00l 2119-002 2217-002 2 54 1-002 OOlO 0012 0014
124-003 t 222-003 12l1-003
2middot364-003 2394-003 2middot414middot003
5413-003 5640-003 5155-003
9121-003 1028-002 1067-00l
1586-002 1141-002 1860-00l
2010-002 2263-002 2468-002
2327-002 2666-002 2951-002
pS18-002 li990-00l 3349-00l
2790-002 3259-002 3683-002
~136-002 3middot 699- OO 4224-002
0016 0018 0020 0Ol5 0030
1231-003 1234-003 1236_003 240-003 1243_003
2429-003 2439_003 2447_003 2461-003 2470-003
5838-003 5899_003 5941_003 6021_003 6071-003
1091-002 1119-002 1136-002 11 66-002 1185-002
1952-002 20l4-002 20U-00l 2187-002 2255_002
2635-002 2171-00l 2883_002 3088-00l 3226_002
31 92-002 3395 _O0l 3560_002 3888_002 4l09_00l
110 6511-002 3926-002 4156-002 603-002 4917-002
4056-002 4384-002 4612-002 5245-002 5659-002
4 (07-00l 5145-002 5 538-002 6353-002 6 913-002
0035 1245-003 2477-003 6111-003 11 97-002 2301-002 3321-00l 4I68-002 51 46-002 5965-002 447-002 0040 1248-003 2483-003 6136-003 1206-002 2334-002 3392-002 4385-002 5319-002 6198-002 7814-002 0045 0050
1251-003 1254-003
2487-003 2492-003
6155-003 6170-003
121]-002 1218-002
2359-002 l379-002
3445-002 3486-002
4414-002 4~43-002
545 t-002 554-002
6319-002 6523-002
8104-002 bullbull l38-002
0060 1262-003 2503-003 6196-003 1226-002 2406-002 3545-002 4644-002 5706-002 6133-002 8687-002
0010 1273-003 2515-003 6218-003 1232-002 2426-002 3586-002 471 4-002 911-002 6818-002 8929-002 0080 0090
1287-003 1305-003
2530-003 2549_003
6240-003 6264-003
1236-002 1241-002
2440-002 2451-002
3615-00~ 3637-002
4763_002 4S01-002
5886-002 lJ9 43-002
6983-002 7063-002
9 107-002 9 24 1-002
0100 0120
1328-003 13S1-003
2572_003 2632_003
6291-003 6356_00 3
1245-002 1253-002
2460_002 2476_002
3655_002 3683-002
411131-002 4875_002
5987-002 6053-002
1125-002 7215-002
346-002 9 498-002
0140 1471-003 2716-003 6444-003 1263-00l 2 491-002 3106-002 4910-002 Cmiddot101-002 7280-002 605-002 0160 0180 0200 0250
1middot581-003 17~3-003 1900-003 2523-003
2827-003 2969-003 3146-003 3710-003
6557-003 6101-003 6879-003 7505-003
1215-002 1290-002 1309-002 1372-002
2507-002 2524-002 2544-002 2 611-002
3128-002 3749-002 3773-002 3844-002
4939-002 4966-002 4994-002 5073-002
61 40-002 70331-002 615-002 7315-002 ~208-002 1415-002 6196-002 1514-002
9middot85-002 9 751-002 808-00l 9 935-002
0300 3453-003 4699-003 8435-003 1465-002 2106-002 3943-002 5176_002 6404-002 7629-002 1 007-001 0350 0400
4150-003 6415-003
5996-003 1122-003
9733-003 1146-002
1595-002 1168-002
2831-002 30ll-002
4076-002 4251-002
5311-002 548ti_002
6544-002 6723-002
7713-002 1955-002
t022-001 1 041-001
0450 8691-003 9931-003 1367-002 1990-002 3233-002 4474-002 5712_002 6949-002 8183-002 1065-001 0500 1146-002 1210-002 1644-002 2266-002 3510-002 4751-002 5991_002 7228-002 8464_002 1093-001
0550 14114-002 1608-002 1982-002 2604-002 3848-002 50At-002 632-002 715611-002 8804-002 i127-001 0600 0650 0100 0750
1898-002 2563-002 3694-002 5612-002
l022-00l 2688-002 3819-002 5736-002
2396-002 3061-002 4192-002 6109-002
3018-002 3683-002 4813-002 6729-002
4261-002 4 926-002 6055-002 7969-002
5503-002 6167-002 7296-002 9208-002
6743-002 1407-002 8535-002 1045-001
7982-002 86411)-002 9714-002 11611-001
9220-002 9884-002 10101-001 10 292-00 1
1169-001 1236-001 348-001 1539-001
0800 8718-002 8842-002 9214-002 9833-002 1107-001 1231-001 1354-001 1418-001 1601-001 1847- 001 0850 0900 0950
10346-001 2031-001 2970-001
1359_001 2043_001 l982001
1396-001 2080-001 3019-001
1457-001 21 41-001 3080-001
1581001 2264_001 3201-001
1704-001 2387-001 33l3-001
1e21-OO1 2509-001 3444_001
195 0-001 2631-001 3566-001
l073-001 2754-001 3687-001
2 318-001 2 998-001 3930-001
1000 4203-001 42lS-00l 4252-001 4312-001 4432-001 4553-001 4173_001 193-001 4913-001 5153-001
1100 7106-001 7718-001 7153-001 7812-001 1929-001 8046-001 8162-001 8middot279-001 8396-001 8 629-001 1200 1292+000 1293+000 1296+000 1302+000 1313+000 1324+000 1335000 1346+000 1357+000 1380+000 10300 1400
2046+000 3115+000
2047middot000 3116+000
2050+000 3119+000
2055+000 3124+000
2066000 3133middot000
2076+000 3142+000
2087+000 3152000
raquo097+000 31 61000
2107+000 3170+000
2 128+000 3189+000
1500 41532+000 4533middot000 4535middot000 4539+000 4541+000 4555+000 4063+000 4middot11+000 4579+000 4595+000
Page 112
TAIR 11 (CONTINuEDI
C (JOLE-IltI
011100 00130 00200 00250 00300 00350 00400 00450 00500 00550T~ 110
0000 0000middot000 II 000000 00011middot000 0000middot000 0000middot000 0000middot000 0000000 0middot000middot000 0000000 0000middot000 0001 3~00middot003 4035003 4410003 484 3003 5115-003 5415-003 515-003 1009-003 6250-003 6471-003 0002 69CJ5003 8067_003 8937003 9685003 1035_002 1095_002 11 511-002 1202-002 1250_002 1295-002 0003 1048-002 209_002 1340-002 1452-002 1552002 1642-002 112S_002 11102-002 1814-002 1943- 002 0004 13CJ5_002 1611_002 1186_002 1935002 2068_002 2189_002 2299002 2402_002 2499_002 2 590-002
0006 2084-062 2410-002 2614-002 2899-002 3099-002 3280-002 3441-002 3601002 3746-002 3 1t83-002 0008 2160-002 202-002 3556-002 3858-002 4126-002 43611-002 4591 -002 41 91-002 4991-002 5114-002 0010 3419-002 30982-002 4430-002 4811-002 5148-002 5452-002 5131-002 5990-002 6233-002 emiddot461-002 0012 4054-002 4148-002 5294-002 5156-002 6163-002 6529-002 6866-002 11111-002 1410-002 1745-002 0014 4659-002 5495-002 6144_002 6690-002 7169-002 7600-002 7994_002 8360-002 8702-002 025-002
0016 52lt6-002 6219-002 6918_002 1611-002 8165-002 8661-002 9115-002 953-002 9928002 1 030-001 0018 5156-002 915-002 1792-002 8517-002 9148middot002 9112-002 1023-001 1070-001 1115-001 1middot157-001 0020 6243-002 1518_002 8582_002 9405-002 1012-001 1015-001 11 33_001 1 86-001 1236001 1282-001 0025 72111-002 9085-002 1043-001 11 53-001 1246middot001 1328-001 140J-001 1471-001 1534-001 1593-001 0030 8102-002 1036-001 1209-001 1348-001 1 466_001 1569_001 1662_001 1146-001 1824-001 1 891-001
0035 a150-002 11 42-001 1352-001 1524-001 1668-001 1795-001 1908-001 2middot010-001 2104-001 2191-001 0040 9264-002 IUI-00l 1416-001 1619-001 1853-001 2004-001 237-001 2259-001 2311-001 2 4 14-001 0045 9616-002 1305-001 1582-001 1816-001 2017-001 2194-001 2]51-001 2 0493-001 2623-001 2 143-001 0050 1001-001 1middot361-001 1614-001 1936-001 2164-001 2366-001 2541 -001 2710-001 2860-001 2 997-001 0060 1052-001 1464-001 1821-001 2134-001 2412-001 2661-001 2886-001 092-001 3282-001 ]457-001
0070 1088-001 534_001 1931-001 2287-001 2608-001 2899-001 31 66-001 412-001 3640-001 31153-001 0080 10114-001 1587-001 2015-001 2406-001 2764-001 3093-001 3397_001 680-001 3943-001 4- 190-001 0090 1134-001 1628_001 2081-001 2500-001 2889-001 3250-001 3587_001 3903-001 4199-001 4 479-001 0100 1150-001 660-001 2134-001 2576-001 2990-001 3379-001 3745-001 4090-001 4416-001 4 125-001 0120 1173-001 1707_001 2212-001 2691-001 3145-001 3571-001 3988_001 4381-001 4756-001 5115 001
0140 1188-001 1740-001 2267-001 2771-001 3255-001 3119-001 41 65-001 4593-001 5007-001 5 405-001 0160 1200-001 1764-001 2307-001 28l1-001 3336-001 38Z5-001 4298-001 4755-001 5197-001 15 627-001 0180 1210-001 783-001 2338-001 2816-001 3398-001 3906-001 4399_001 4880-001 5347-001 SJJ01-001 0200 10217-001 1797-001 2362-001 2912-011 3 447-001 3970-001 4480-001 4977-001 5464-001 Smiddot940-001 0250 1234-001 1826-001 2406-001 2976-001 3535-001 4083-001 4123-001 51 52-001 5673-001 6185-001
0300 1249-001 1848-001 2439-001 3020-001 3594-001 4160-001 471 7001 ~26R-00I 5811-001 6 347-001 0350 1266-001 810-001 2467-001 3057001 3640-001 4217-001 4788-001 5352-001 5911-001 6 4 64-001 0400 1286_001 1893_001 2495_001 309 1-001 3681_001 4266_001 41146_001 5420-001 5990-001 6554001 0450 1310001 1920_001 2525_001 3125-001 3 720_001 4311_001 4891_001 5479-001 6057_001 6630-001 0500 1339_001 1951_001 2558001 31 61_001 3160_001 4356_001 4947_001 5535-001 6119-001 6 b99-001
0550 1374-001 1987-001 2596-001 3202-001 3804-001 4402-001 4998_001 111590-001 6179-001 6764-001 0600 1416-001 2030-001 2640-001 3248-001 3852-001 4454-001 5052-001 5648-001 6240-001 6 830- 001 0650 1482-001 2097-001 2709-001 3318-001 3924-001 4527-001 5128-001 5726-001 6322-001 6 915-001 0100 1middot595-001 2210-001 2822-001 3432-001 4039-001 4644-001 5246-001 5846-001 6444-001 1040-001 0750 10185-001 2400-001 3012-001 3622-001 4230-001 4835-001 5439-001 6040-001 6639-001 7236-001
0800 20CJ3-001 2707-001 3318-001 3928-001 4535-001 5140-001 5744_001 6345-001 6945-001 7 542-001 0850 2564-001 3175-001 3185-001 4393-001 4999-001 5603-001 6205-001 806-001 1405-001 8002-001 0900 3242-001 3851_001 4458-001 5063-001 5666-001 6268-001 6868_001 1466-001 8063-001 8659-001 0950 4112-001 4716-001 5379-001 5980-001 6580-001 7178-001 7714-001 111middot369-001 8962-001 9554-001 1000 5393-001 992001 6589-001 1184-001 7178-001 8371-001 8962-001 9552-001 1014000 1 073000
1100 8162-001 9444-001 1002middot000 1060000 1118middot000 1176middot000 1233000 1291000 1348+000 1405000 1200 1402000 14580000 1513000 1568000 1624000 1679+000 1734000 1789middot000 1844000 i 898middot000 1300 2149middot000 2201000 2253middot000 2304middot000 2356000 2407000 2459000 2510middot000 2561middot000 2 612000 1400 3208000 3254000 3301middot000 3347000 3393000 3440000 3486000 3S32middot000 3518middot000 3 623000 1500 4611middot000 4650000 4690000 4729middot000 4168middot000 48070000 4846000 488middot000 4924middot000 bullbull 963middot000
Page 113
TABLE 11 (CONTINUE)
C IJMOLE IO
0 00600 00640 00650 00700 00750 00800 OOYOO 01000 011 00 01i00
00
0000 00110+000 (1000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0middot000+000 0000+000 0000+000 0001 6693-003 6858_003 6899_003 7096-003 7285-003 7467_003 71114_003 bullbull 139-003 8447-003 8 74 0-003 000i 1339-002 137i-002 1380-00l 1419-002 1 1057-002 1493-002 1563_0(12 628-002 168Q-00l 148-002 0003 200 8_002 2057_002 2069_00 2 2128-00i 21115_00i 224O_OOi 2344_002 2441-002 2534_002 2 622-002 0004 i676_00i 2743_002 2759-002 2838-002 29 13_002 2986_002 3J2amp-002 3255-002 3378-002 3495-002
0006 4013-002 4112-002 4136-00l 42amp5-002 4369-00i 4478-002 4 86-002 4e81-002 5066-002 Si42-002 0008 5347-002 5480-002 5512-002 5670-002 58ii-002 5968-002 6i46-00i 650-002 6753-002 6988-002 0010 6679-002 845-002 6885-002 7083-002 1273-002 7456-002 7803- 002 11130-002 8438-002 8middot732-002 0012 8006-00i 1I206-00i 8255-002 8493-00i 8722-002 8941-002 9359-002 Q S1-OO2 1012-001 1047-001 0014 9330-002 9564-00i 9621-00i 9819-002 1017-001 1042-001 1091-001 11 37-001 10180-001 1 22 1-001
0016 10t5-001 1092-001 1098_001 11 30-001 1161-001 1190-001 1246_001 loi9s-001 1 348-001 1 395-001 0018 1196-001 1226_001 12310-001 1270-001 1304-001 1337-001 1400-001 1459-001 -515-001 1568-001 0020 1327_001 1360 001 1369 001 1409-001 1 447_001 1484_001 1554_001 1620-001 168i-001 1 741 - 001 0025 1649_001 1692-001 1703-001 1753-001 1802-001 1849-001 1937- 001 iOiO-OOl i098-001 2172-001 0030 19M-00I i018-001 i030-001 209i-OOl iH51-001 ii08-001 i3IS-001 i415-001 i510-001 2 599-001
0035 2i73-001 2336-00 i351-001 i4i4-001 i494-001 i561-001 i89-001 2A06-001 i917-001 3023-001 0040 i570-001 i6103-001 i661-001 i747-001 28i9-001 i901-001 3054_001 3191-001 3320-001 3441-001 0045 2855-001 2939-001 2960-001 3059-001 3154-001 3243-001 3412-001 middot569-001 3715-001 3 854-001 0050 3125-001 3222-001 3245-001 3359-001 3466-001 3569-001 3760-001 393A-00I 4103-001 4 259-001 0060 3621-001 3744-001 3173-001 3916-001 10052-001 4181-001 442l-001 4644-001 4851-001 SOH-OOI
0070 40111-001 420i-001 4i38-OO1 4414-001 4581-001 4739-001 5032_001 530i-00 5553-001 5 787-001 0080 443-001 45-001 4642-001 4850-001 5047-001 5235-001 5086_001 5908-001 6204-001 6 1081-001 0090 4743-001 4944_001 4993-001 5i31-001 5458_001 5674_001 6080-001 0454-001 6802-001 1126-001 0100 501 8-001 5242 001 5297_001 5563-001 5818_001 6062-001 6020_001 6946-001 7342-001 7 13-001 0120 5459_001 50724_001 5789_001 6106-001 6 411-001 6705_001 7i6~_01)1 7782-001 8270-001 8 31-001
0140 5790-001 61189-001 616i-001 6S21-001 6869-001 7206-001 7848_001 8454-001 9026-001 569-001 0middot160 6044-001 6369-001 6449-001 6843-0111 7226-001 7599-001 831 4-001 8994-001 9641-001 1 026-0011 0180 6i44-001 6590-001 6676-001 7098-001 7509-001 7911-001 868amp-001 9-431-001 1014000 1 082+0011 0i00 6405-0111 6769-001 6859-001 7303-001 7739-001 8165-001 8Q9J-OOI -789-0 0 l 1056+000 1129+1100 02511 6689-001 7086-001 7184-001 7673-001 8154-001 8626-001 9S5U-ODI 1045+000 1132+0110 1216+000
0300 6877-001 7295-001 7399-001 7915-001 8 425-1101 8929-001 9lt11 9-001 1089+1100 1183+0110 1 276+000 0350 7011-001 7444_001 7552001 8088-001 8619-0111 9145-001 1018+000 11211+000 1ii0-DOO 1 318+000 11400 711 4-001 7559_001 7669-001 8220-001 8766-1101 9308-001 1038+000 11 43+000 1247+000 t 349 +ODO 0450 7i00-ODl 7653_001 7765_1101 83i7-001 8885_001 9438_001 1054 +0011 1162+000 1~269000 1 374 +000 11500 7276-001 7735-0111 7849-0111 8419-001 8985_0111 9549_001 1061+0(10 11 77+000 1286+0110 1 394+000
0550 7347-0111 7811-001 1920-001 8503-001 9076-001 9647-001 1078 -01111 1190000 1301+0011 411 +000 0600 7417-001 7885-1101 8001 001 8583-1101 9162-001 9739-1101 1088+11110 1middot202+000 1314+1100 4i6+000 0650 7SDI-001 7976-001 80910-001 8679-0111 9263-001 9844-1101 10 100+11110 1215+000 13i8+00D 1441+000 07011 76]3-001 8106-1101 8224-001 8813-001 9400-001 9985-001 111 5+000 1(31)+000 1345+0110 1 459+000 0750 7middot831-001 8306-1101 8424-001 9015-001 96115-001 101119+1100 1136+000 1middot252+000 1368+000 1482+0011
08110 81~8-001 8614_11111 873i-001 9325-1101 9915-0111 1050+000 1168+000 1284+000 1400-000 515+0011 118511 11laquo97_001 91173_1101 9191-11111 9183-0111 11137+11110 111960110 121 4000 1330+11110 1446+1100 1 562+0011 0900 9i5i-OD1 9726-001 9845-001 1044+0110 1102+11110 1161+000 1218000 1395+0110 1511000 6i6+000 0950 101114+0011 11162+000 1073+111111 11 32+0011 1191+1100 1249+000 1366+000 14820011 1598+000 bull fl3+000 1000 1131+0110 11780011 1190-000 1248+1100 1306+000 1364000 1480+0110 11595+000 1710+000 1 824+0011
1100 14(12+0011 1508+1100 151 9+1100 1576+01111 1633+0011 1689+000 180i+QOO 1914+11110 2026+000 2138+000 121111 1953+000 1997+1100 21101+11110 20tli+DDO 2116000 i170+DDO iZ79_DDO 2386+0011 2494+11011 ZbOl+QOQ 103011 2663-1100 2704+11011 2114+000 i7b5+00Q 2816-000 2866+000 2961_11110 306e+000 3168+000 3 268+000 141111 369+11110 37116-000 3715+1100 3760+000 3806+000 3851+000 3942+11011 40 32+000 4122+111111 4 212+0011 15110 5002+000 51133+000 5041+0011 5079-000 5118+ 000 5156+0011 5233+0011 ~309+QOQ 5386+000 5 46i+ODO
Page 114
TABLE 11 ltCONTINUED)
C IJMOLEmiddotIO
01300 01400 01500 01600 01800 02000 02250 02500 02150 03000~ (I( )
0000 0000+000 0000+000 0000+000 0000+000 0000middot000 0000+000 0000+000 0000middot000 0000+000 0000+000 0001 9020003 9288_003 9547003 97n-003 1027-002 1072002 11 20_002 1177-002 1225-002 1i72-002 0002 1804_002 1158_002 1909_002 1959_002 2055_002 2145_002 2252_002 2353-002 2450_002 2 544-002 0003 2706_002 2786_002 2864_002 2939_002 3082_002 3217002 3378_002 3530_002 3676_002 3amp16002 0004 3607_002 3715_002 381 8002 3918_002 4109002 4289_002 4503_002 4706_002 4901_002 15 088002
0006 5410-002 5571middot002 5727-002 5817-002 6163-002 6434-002 6154_002 7059-002 7350-002 7 03 1-002 0008 7212-002 7427-002 7634middot002 7834-002 8216middot002 8577-002 9005-002 9411-002 9800-002 1011-001 0010 9012-002 9281-002 9540-002 9790-002 1027-001 10072-001 1125-001 1middotP6-001 1225-001 1272-001 0012 1QIH-OQl 1middot113-001 1144-001 1175-001 1232-001 1286-001 135U-OOI 1middot411-001 147 0-001 1 526- 001 0014 1middot261-001 1298-001 1335-001 1370-001 1 437-001 1500-001 1575-001 10646-001 11 14-001 1 180-001
0016 1440-001 1483_001 1525-001 1565-001 1641-001 1714-001 1799_001 1881-001 1959-001 2034-001 0018 161 9-001 1668_001 174-001 1760-001 184tgt-001 1927-001 2024-001 215-001 2203-001 2 287-001 0020 11lt)8001 1852_001 1904-001 1954_001 2050-001 2141_001 2248 001 2350 001 2447-001 2 54 1-001 0025 2243-001 2311-001 2376_001 2439-001 2559-001 2673-001 280 7001 2935-001 3056 001 3174-001
0030 26A5-001 2707_001 2846_001 2921-001 3066001 3203_001 336-001 351A-00l 3664_001 3 8OS-001
0035 3123-001 3219-001 3312-001 3401-001 3570-001 3730-001 3919-001 4094-001 4270-001 4 435-001 0040 3557-001 3668-001 3774-001 3876-001 4071-001 4254-001 4471-001 4677-001 4873-001 5062-001 0045 39A5-001 4111-001 4231-001 4347-001 4568-001 4775-001 502U-001 5252-001 5474-001 5 687-001 0050 4407-001 4548_001 4683-001 4813-001 5060-001 5292-001 5560-001 1125-001 6072-001 6309-001 0060 5227-001 5401-001 5567-001 5726-001 6028-001 6310-001 6643-001 6 951-001 1256-001 7542-001
0010 6008-001 218_001 6417-001 6608-001 6 968-001 7304-001 7 98_0111 A06lt)-001 8421-001 8 759 001 0080 6743-001 6991-001 7220-001 7451-001 7874-001 8267-001 8726001 91 56-001 9565middot001 9955-001 0090 1430-001 7716_001 7988001 8249-001 8738_001 9192-001 9120-001 1021+000 1068+000 1 113 +000 0100 8062-001 8392-001 8704-001 9000-001 9551-001 1008000 1068000 124+000 1177+000 lc27000 0120 lt)17 001 9580_001 9914-001 1035+000 1106+000 117+000 1246 +000 1316+000 1382000 1444+000
01 40 1008+000 1058+000 1105+000 1150+000 loc35+000 1314+000 1406+000 1491+000 1570+000 645+000 0160 1085+000 1141middot000 1195+000 1247+000 1346+000 1438+000 11146000 1740+000 829+000646+000 0180 1148+000 1211+000 1272middot000 1330+000 11141+000 1546+000 168+000 1783+000 1891+000 1994+000 0200 1201+000 1269+000 1330+000 1400+000 1523+000 1639+000 1176+000 1904+000 2026+000 2141middot000 0250 1299+000 1379+000 1457+000 1534+000 1681+000 1821middot000 1lt)89+000 247+000 2299+000 2 444+000
0300 1366+000 1454+000 1541+000 1626+000 1791+000 19H+000 21 42 +000 325+000 2502+000 2 671+000 0350 141 4+000 1509+000 1602+000 1694 +OOl 1872+000 2046+000 2255+000 2451+000 2654+000 2 844+000 0400 1450000 1549+000 1647000 1744+000 1 934+000 2118+000 2342+000 2560+000 2771+000 2 978+000 0450 1478+000 1581+000 1683+000 1783000 1981middot000 Z174+000 2410+000 C640+000 2864middot000 3083+000 0500 1501+000 1607000 1711middot000 1815middot000 2019+000 2219+000 246S+0IHI 2104+0 2939+000 3 169000
0550 1520+000 1628+000 1735+000 1841+000 2050+000 2256+000 2509+000 751+000 3000+000 3 240+000 0600 1537+000 1641+000 1756+000 1864middot000 2077+000 2288+000 2541000 2801middot000 3051+000 t29S+000 0650 1553+000 1665+000 1775middot000 1885+000 2102+000 2316+000 2580 +000 2140middot000 3096+000 3349000 0700 1512+000 1685+000 1796+000 1907+000 2121+000 2345+000 213000 2818middot000 3139middot000 3396+000 0750 1596+000 1710+000 1823+000 1935middot000 2157+000 2317+000 26411 +000 2417+000 3181+000 3 443+000
0800 16~0+000 1744+000 1857+000 1970+000 2194+000 2416+00amp 2690+000 961+000 3229+000 1494+000 0850 1677+000 1191+000 1905middot000 2018+000 2243+000 2466+000 2142+000 3015+000 3285+000 3 552+000 0900 1141+000 1856+000 1969+000 2083+000 2308+000 2531+000 2808000 3082+000 3353+000 3 622+000 0950 1821+000 1941+000 2055000 2168middot000 2393+000 2616+0011 2892+000 3166+000 3438+000 3 101+000 1000 1938+000 2051+000 2164+000 2217+000 2501+000 2723+000 2998+000 3211+000 3542+000 3 810000
1100 2249+000 2360+000 2410+000 2580+000 2799+000 3011+000 3287+000 3554middot000 3820+000 4084middot000 1200 2707+000 2814+000 2920+000 3025000 3236+000 3445+000 3704+000 3962middot000 4218+000 4bullbull12+000 1300 3368+000 3467+000 3566+000 3665+000 3862+000 4051000 43011+000 4541+000 4181+000 5019+000 1400 43(12middot000 4391middot000 4480+000 4568+000 4745+000 4920+000 5138+000 5355+000 5569+000 5783+000 1500 5537+000 5613+000 5688+000 5163+000 5 912000 6060+000 6244000 6427+000 6608+000 6 788+000
Page 115
TA8Le 12
THE ENTROPy OF THE TOTAL HE3 - HE SOLUTION
5 (J140LE-K)
~ 011001 00002 00005 00010 00020 00030 00040 00050 00060 00080
UO
0000 0001 0002 0003
0000+000 7128_004 1271-003 16111-003
0000+000 9212_004 1751_003 2411_003
0000+000 126-003 2495_003 3651_003
0000+000 1598_003 lI BO-003 4129_003
0000middot000 2019_00l bullbull 030-003 0026_003
0000+000 2316_003 4626_003 6927_003
000(1+000 21554_003 ~103_003 7t II _OO3
0000+000 c75_003 50-003 8255_003
0000+000 2933_003 5 8h_003 8790_003
0000+000 3239- 003 677-003 9110-001
000 1996-003 299B_003 4701-003 62l2-003 7997-00l 9212_003 10111-00~ i099-002 1171-002 1 29-002
0006 2464-003 3866-003 6483-003 8966-003 1 IB2-002 10371-002 15111-002 1middot-002 1 151-000 1 937-002 0008 0010
2806-003 3075-003
bullbull520-003 503-003
7923-003 9117-003
1136-002 1345-002
151-002 1872-002
1805-002 2219-002
2009-002 2483-002
21 7A-002 2701-002
2l25-00l 28B9-002
2middot~15-002 3a 06-OO2
0012 3298-003 5477-003 1013-002 1527-002 2176-002 2609-002 29311-002 320A-002 30440-002 3 1129-002 0014 3486-003 5847-003 1101-002 1689-002 2 bullbull54-002 2973-00 3371-002 3697-002 3975-002 4439-002
0016 36M-003 6PI_003 1178-002 1833-002 2708-002 3314-002 3782_002 bullbull 165-002 4491-002 5035-002 Omiddotou 0020
3796-003 3926-003
6457-003 6115-003
1247-002 1310-002
1964-002 2082-002
292-002 3159-002
3633-002 3931-002
41 70-002 4536-002
611-002 5037-002
bullbull988-00l 5466-002
51115-002 6178-002
0025 0030
bullbull 202-003 4428-003
72amp3-003 7712-003
1bullbullbull4-002 1554-002
2339-002 2554-002
3amp36-002 bullbull 01-002
bullbull 598-002 5174-002
53amp9_002 60 99-002
6016-002 1188-002
6573-00l 7568-002
705-002 821-002
0035 bullbull620-003 8094-003 1648-002 2737-002 bullbull 392-002 5678-002 6745_002 7660-002 8 bullbull64-002 9833-002 0040 0045 0050 0060
4786-003 bullbull 934_003 5066_003 5295-003
8425-003 8717_003 8980_003 9435_003
1730-002 1802-002 1867-002 1980-002
2898-002 3040-002 3168-002 331-002
4702-002 bullbull 978_002 522a-002 5664_002
6127-002 6529_002 6890_002 7536_002
7323middot002 7844-002 831 9_0112 91)1-0n2
80359-002 0993-002 9573-002 1060-001
9277-00l 1002-001 1070-001 1191-001
1085-001 1179-001 1266-001 1 4Z1-001
0070 5bullbull90-003 9822-003 2075-002 3581-002 6037-002 8086-002 9879_002 11middot9-001 1296-001 557-00 0080 0090 0100 0120
5661-003 581middot-003 5913-003 6200-003
1016-002 06-002 1073-002 1120-002
2158-002 2Z32-002 2298-002 2414-002
376-002 3801-002 4022-002 4250-00Z
6362-002 6650-002 6908-002 7358-002
1566-002 1051-001 8993-002 10107-01)19378-002 11 58-001 100S-001 1241-001
1227-001 1297-001 1359-001 1middot469-001
388-001 1 471-001 1 546-001 1676-001
1 677- 00 1 1185-001 1883-001 2middot0SS-001
01middot0 6419-003 1161 002 2512-002 444-002 771-002 1062-001 1322_001 1S63-001 17811-001 2202-001 0160 6623-003 11 98_002 2599-002 bullbull 613-002 8075-002 1111-001 11118_001 l64S-OOl 1886-001 2 331-1101 0180 0200
687-003 7007-003
1232-002 1264_002
2677_002 2748-002
4764-002 bullbull901-002
8371-002 8638-002
115S-001 1195-001
1bullbull46_001 1499_001
10717-001 1782-001
1972-001 2050-001
Zmiddot6-001 2 5bull 9-001
0250 7493-003 13middot1-002 2908-002 S200-002 9212-002 1280-001 1lIll-00l 1922-001 2217-001 2 169-001
0300 A030-003 1417-002 3053-002 5bullbull57-002 9696-002 1351-001 1704 -001 20311-001 2355-001 2 951-001 0350 0400 0bullbull50 0500
8655-003 9396-003 1028-002 1middot114-002
1bullbull99-002 1590-002 1693-002 1812-002
3192-002 3333-002 3480-002 3638-002
5693-002 5916-002 6137-002 6360-002
1012-001 1051-001 1088-001 1123-001
1bullbull12-001 1middot68-001 1519-001 1568-001
1785-001 1851-001 19Z3-001 1985-001
2]37-001 2226-001 2)06-001 2381-001
2bullbull73-001 2571ll-001 2673-001 2761-001
]107-001 ]i5-001 3 369-001 3 483-001
0550 12i8-002 1948_002 3810-002 6S92-002 1158-001 1615-001 2043-001 0451-001 283-001 3588-001 0600 0650 0100 0750
1bullbull04-002 15110-002 1808-012 2122-00Z
2105-002 2291_002 2527_002 2851_002
3999-002 bullbull215_002 bullbullbull79_00Z bullbull828_002
6835-002 7101-002 7411-002 7803-002
119-001 1230-001 1270_001 1318_001
1661-001 1707_001 1756-001 1813_001
2100-00)21S6_001 2H5_001 2280-001
2519-001 21585-001 265]-001 2726-001
2921-001 2998_001 3075-001 3156-001
]688-001 ]8-001 3879-001 3978-001
0800 2576-002 3312-002 531 4-OOZ 8329-002 1379-001 1881-001 2356-001 2Al]-001 329-001 ~O87-001
0850 0900
3238-002 middot19O-OOZ
3981-002 4941-002
6005-002 698amp-002
9058-002 1007-001
1middot59-001 1568-001
1969-001 2085-001
2452-001 257-001
2914-001 3043-001
3359-001 3bullbull96-001
4 212-001 4 363-001
0950 55gt7-002 6285-002 8350-002 11middot7-001 171-001 2238-001 Z734-001 209-00 3669-001 58-001 1000 7351-002 8middot11-002 1020-001 1335-001 1908-001 2 bullbull311-001 2940-001 3 bullbull22-001 3887-001 4 raO-OOl
1100 1288-001 1366-001 1577-001 1898-001 2483-001 302-001 3538_001 4031-001 4507-001 5 4 22-001 1200 1300 1400
218-001 34H-001 5367_001
2246-001 3S61-001 5447_001
2bullbull61-001 3778_001 5667_001
2787-001 4108-001 6001-001
3381-001 bullbull 711-001 6611_001
3933-001 5271-001 717B_001
bullbull 456 0111 5803_001 771 11 _001
bullbull959-001 11315-001 8237-001
5446-001 6810-1101 8739_001
6381-001 762-001 9 106-001
1500 79110 001 8061-001 8282-001 8619-001 9236-001 9809-001 103S+000 108+000 1139000 1middoti37middot000
Page Ilb
TAlK 12 CONTINUED)
IJMOLE-K)
00100 00150 00200 00250 00300 00350 00400 00450 00500 00550 ~ ItO
0000 0000+000 1)000000 0000000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 31500-003 4035_003 4470_003 4844_0n3 5115_003 547_003 5752_003 6009-003 6250_003 6 477-003 0002 69Q9-003 8070_003 8939_00 3 9686_003 1035002 1095_002 11 5deg_002 202-0OZ 1250-002 1295-002 0003 1049_002 1210_002 1341-002 1453_002 1552-002 1642_002 172)_002 1802-002 1875002 1 943002 0004 1399_002 1613_002 1787_002 1937-002 2069_002 219n_002 2 bull 011-002 2403-002 2500-002 2 591-002
0006 ~OQS-002 2418-002 2679-002 2904-002 3103-002 3284-002 3450-007 3middot604-002 3749-002 3R85-OO2 0008 27~7-002 3220-002 3569-002 3869-002 4135-002 4376-002 415911-002 4middot~04-002 4997-002 5 179- 002 0010 3474-002 4018-002 4457-002 4833-002 5166-002 54-002 5745_002 iIiOOl-002 6244-002 amp472-002 0middot012 4154-002 4812-002 5341-002 5794-0n2 6194-002 6557-002 68911-002 7200-002 7490-002 1 4-002 0014 41125-002 0600-002 6221-002 6751-002 7220-002 7644-002 8033-0112 8]95-002 8734-002 ~U54-002
0016 54A4-002 ~382-002 7096_002 7705-n02 8242-002 8728-002 91 74-OO 95811-002 9976-002 1 034- 001 0018 6131-002 7155-002 7965-002 8654-00 9261-002 9809-002 1031 -001 10711-001 1122-001 163-001 0020 6763-002 7918_002 8827_002 9SY7-0n2 1028_001 1089_001 1145_001 11 97-001 1245-001 I Z9 1-001 0025 8272-002 9775_002 1094_001 11 93-001 1279-001 1356-001 1427-001 1492-001 1S53-001 1 611-001 0030 9675-0n2 1155_001 1300-001 1 420-001 1526_001 1620-001 170S-00t 1785-001 1859-001 1928-001
0035 1097-001 1323-001 1497-001 1642-01l1 1767-001 1879-001 1980-001 1074-001 2161-001 2243-001 00 40 121 8-001 14S1-001 1686-001 1855-001 2002-001 2132-001 22511-001 ]59-001 2460-001 2 554-001 0middot045 1middot39-001 1631-001 1866-001 2061-001 2230-001 2379-001 251 4-001 263A-001 2753-001 2 861-001 0050 143-001 1771-001 2038-001 2259-001 2 450-001 2620-001 27Ta-001 2912-001 3042-001 3middot164-001 0060 16O-001 2030-001 2356-001 2630-001 2 867-001 307E1-001 368_001 3441-001 3602-001 3 152-001
0070 1785-001 2261-001 2646-001 2971-001 3255-001 3507-001 373+-001 3943-001 4136-001 4 315-001 0080 192-001 2469_001 2909-001 3285-001 3613-001 3907-001 4173_001 4416-001 46112-001 4852-001 0090 20115_01)1 2659_001 3151-001 3574_001 3946_001 4280-001 4584_001 4863_001 5122_001 5363 001 0100 20185-001 283Z-001 3373-001 384 1-001 4256-001 4630-001 4971-001 5284-001 5576-001 5 848-001 0120 2397-001 3llY-001 3769-001 4322-001 4816-001 5264-001 5 76_001 6057-001 6 412-001 6 146-001
0140 2579-001 3405-001 11115-001 4743-001 5309-001 5827-001 6305-001 749001 7165-001 7557001 0160 2738-001 639-001 44211-001 5117-001 5750-001 6331-001 68711-001 7374-001 7847-001 8 294 - 0010180 2880-001 3848-001 4694-001 5453-001 6146-001 6786-001 782-0111 7 941-001 8461-001 amp967-001 0200 3008-001 4036-001 4941-001 5758-001 6507-001 7201-001 750-001 bullbull 46f)-001 9038-001 586-001 0250 32A2-00l 4441-001 5473-001 6415-001 7286-001 8100-001 8866-001 9591-001 1028+0011 1 094000
0300 35t18-001 4715-001 5915-001 6962-001 7936-001 8852-001 9718-0()l 054middot000 1133+000 1208+000 0350 3702-001 5062-001 6293-001 7430-001 8494_001 9497-001 1045 +000 11 36000 1223+000 1 307+000 0400 3872-0111 5313_001 66211-001 7841-001 8983_001 1006+000 110Y00O 1208+000 1303000 1 394+000 0450 4025-001 5538_001 6920-001 8207-001 9418-001 1057000 1161+000 1272+000 1374+000 1472+000 0500 4164-001 5742_001 7188-001 8538-001 9812-001 1103+000 1219+000 1330+000 1438+000 1542+000
0550 4293-001 5929-001 7433-001 8841-001 1017+000 1144+000 1266+000 1383+000 1496+000 1606000 0600 445-001 6middot104-001 7661-001 9121-001 1051+000 1183+000 1311hOOO 1432+000 1550+000 1665+000 0650 45~0-001 ~269-001 7875-001 9384-001 1082+000 1219+000 13511000 1middot478middot000 1601+000 1120+000 0700 4644-001 ~428-001 8079-001 9633-001 1111+000 1253+000 1389+000 1520+000 1648middot000 1 172+000 0750 47110-001 6586-001 8280-001 9876-001 10140+000 1285middot000 1426+000 561+000 1693middot000 1821+000
0800 48114-001 6750-001 8483-001 1012middot000 1168middot000 137+000 146Z+000 1601000 1137+000 1869000 0850 5024-001 6927-001 8697-001 1037+000 1197+000 1350+000 1498000 141+000 1780+0011 1916+000 0900 5189-001 7127_001 8932-001 1064000 1227000 1384+000 1535+000 1682000 1824+000 1 963+000 0950 5388-0111 7359_001 9196-001 1094+000 1260+000 1420+000 1574+000 1724middot000 1870middot000 2012middot000 1000 56~2-001 7633-001 9502-001 1127+000 1297000 1460+000 11 7+000 770+000 1919+000 2 064000
1100 62Q7-001 8354-001 1028middot000 1211+000 1386middot000 1554+000 171 7+000 1876middot000 2030middot000 2181+000 1200 7275-001 9382-001 1136+000 1323+000 1503+000 1677+00( 1845000 008+00Q 2167+000 2 323000 1300 8674-001 1082+000 1284+000 1476+000 1660+000 1838+000 201lhOoO 2178+000 2341middot000 2 501000 1400 10gt3+000 1282+000 1487middot000 1683+000 1871middot000 2052+000 2228+000 239q+000 2566+000 2 730+000 1500 1330+000 1552middot000 1761+000 1959+000 2150+000 2334+000 21113+000 C687middot000 2857+000 3 024+000
Page 117
TA8LE 12 (CONTINUED)
S (JMOLE-Ilt)
~ 00600 00640 00650 00700 00750 OOAOO 00900 01000 01100 01200
110
0000 0001 0002 0003 0004
00110middot000 6613-003 1339002 2008-002 2677-002
0000middot00(1 6858_003 1372_002 2057_002 273-002
0000middot000 6899_00 3 1380002 207(1-0022759002
0000000 7096-003 1419002 21 29-002 2838_002
0000000 7285-003 1457_002 2185_002 2914002
0000000 7467-003 1493_002 2240_002 2987_002
0000000 781 4-003 163_002 234-002 3125-002
0000000 -139-003 162111-002 2442-002 3255-002
0000middot000 8447-003 1689-002 2534-002 3319 002
0000000 140-003 1r48-002 2622-002 3496002
0006 0008 0010 0012 0014
4015-002 1113152-002 66118-002 1103-002 1307-002
411 4-002 5484-002 6854-002 8222-002 95d9-002
41311-002 5517-002 6894-002 8271-002 9640-002
42S7-002 5675-002 7092-00 2 8508-002 9923-002
4370-002 5826-002 728 1-002 8735-002 1019-001
4480002 5972-002 7464-002 8954-002 1middot0-4-001
481-002 6249002 7AlII-002 9371-002 1093-001
4A83-002 6510-002 81 36-002 0761-002 11 39001
5067-002 6756-002 8444-002 1013-001 10182-001
5243-002 990-002 8 737002 1048-001 1223-001
0016 0018 0020 0025 0030
1069-001 1202-001 1335_001 1665-001 194 001
1095-001 1232_001 1368_001 1707_001 2045_001
1102-001 1239-001 1376_001 1118-001 2057_001
1134-001 1275-001 1416_001 1767-001 2117-001
1164 001 1309001 1 454 001 1 8 15_001 2174-001
1193-001 1 342-001 1490_001 1861_001 2230-001
1249 _001 10--0011560_001 1948_001 233S 001
1301-001 1463-001 1625_001 2030-001 2433-001
1350-001 1519-001 1 687_001 2107-001 2526-001
1397-001 1572-001 146 001 2181-001 Z615-001
0035 0040 0045 0050 0060
2321-001 2644-001 29t3-00l 3278-001 3892-001
2380-001 2712-001 3040-001 3365-001 3999-001
2394-001 2728-001 3059-001 3386-001 4025-001
2465-001 2809-001 31 51-001 3489-001 -1gt2-001
2532-001 2887-001 3139001 3588-001 4272-001
2597-001 middot2961-001 3323-001 3682-001 4388-001
2720-001 3103-001 34U-00I 3861-001 405-001
20135-001 3235-001 3middot632-001 402111-001 411109-001
2944001 3360-001 3773-001 4185-001 5000-001
3047-001 3478-001 )907001 4334-001 I5181-00
0070 0080 0090 0100 0120
4484-001 5049-001 5589middot001 6104-001 1059-001
4612 001 5199_001 5761-001 6298_001 7298_001
4643-001 5236-001 5803-001 6345middot001 7357-001
4794-001 5412-001 6006-001 6575-001 7639-001
4937-001 5580-001 6199-001 6193-001 7908-01
5075001 5741-001 6383-001 7001-001 8166-001
5334_001 6042_001 672901)1 7393_001 850-001
5575001 6323-001 7051-001 7757-001 9100-001
5801-001 6585-001 7351-001 8096-001 9520-001
6015-001 834-001 70635-001 8 416-001 9 916-001
0140 0160 0180 0200 02S0
7927001 8718-001 441-001 1011000 1157middot000
8210-001 90_2-001 9805-001 10UmiddotOOO 1206000
8218001 9121-001 989-001 1061000 1218 000
8613-001 9506-001 1033000 1109000 1276000
8933-001 9814-001 1014000 1155000 1332000
9239-001 10023middot000 1114000 1199000 1386000
9tH5-00l 1089000 11 9(01121283000 149(000
1035000 152000 12600001362000 588000
1085middot000 1210000 10327000 1-36000 16110-000
1133000 1 265000 1389+000 1506-000 1 168000
0300 0350 0400 0450 0500
1281000 1388_000 14A2middot000 1566 000 143000
1337_000 1450000 1551+000 1640000 1721_000
13510000 1466000 1567000 1658000 1741000
14111000 1sectAoI-0001650000 178000 1836000
1483000 1615000 17JhOOO 1835000 1929000
1546000 1686000 1809_000 1919 000 2020000
1 68000 IA22000 1960000 2083000 21 95000
1782000 1952-000 104000 239000 2363000
1891+000 2016000 2241000 2389+000 2524000
1995000 2195middot000 z37J000 2S34000 2679middot000
0550 0600 0650 0700 0750
1712- 000 1771-000 1836000 1892-000 1946000
1795000 1864000 1927000 1987000 2043000
1816000 1885000 1949middot000 2010000 2067000
1917000 1991+000 2060-000 21Z5middot000 21 86000
201 5000 2094middot000 2168middot000 2237000 2303000
2111000 2195000 2274middot000 2347middot000 2417000
2297000 23910000 2479000 2561000 2638000
2475000 2579000 iI~76middot000 2767000 2852000
2647000 2761000 2867000 2966000 3059000
2amp13middot000 2937000 3 051000 3 159000 3260000
0800 0850 0900 0950 1000
1917-000 2048000 2019000 2151000 22116000
2098-000 2151000 2205+000 2260000 2317000
2123000 2177+000 2231middot000 2287-000 2344000
2245-000 2303-000 2361-0110 2419000 2480000
2366000 2 427000 2488+000 2550000 2614000
2483-000 2548000 2613000 2678-000 2745-000
27tl-00O 278bmiddot00o 2A56+000 2927000 3000-000
934000 3013000 3091000 ~16C100o 3247000
3149000 3235+000 3319000 3403middot000 3488middot000
3357 000 345 0000 3541000 3 631000 3 122000
1100 1200 1300 1400 1500
2328000 2475000 2658+000 2890000 3186000
2444000 2594000 2780000 3015_000 3315000
2472000 2624middot000 2811-000 3047_000 3346000
2614000 2770middot000 2961000 3201000 3503_000
2752000 291 4 000 3109000 3352000 3658+000
2889000 3055-000 3255_000 35010000 3810000
31 55 000 3331000 31J39_000 3792_000 4107000
3413000 3599000 3815-000 -07tmiddotOOO 4396+000
366000 3860middot000 40114000 4352000 4678000
3 909000 4114middot000 4347000 4622-000 4953-000
Page 118
TABU 12 (CONTINUED)
S CJMOLE-K)
01300 01400 01500 01600 01800 02000 02250 0241100 02750 03000~ 11lt1
0000 01100-000 0000-000 0000-000 0000-000 0000-000 0000-000 0000-000 0middot000-000 0000-000 0000-000 0001 9020-003 9288_003 9547-003 9797-003 1027-002 1072-002 1126-002 1177-002 1225-002 1212-002 0002 1804-002 18S8_002 1909-002 1959-002 2055_002 2145_002 225Z_002 235~-002 2450_002 2544-002 0003 2706-002 2786_002 2864_002 2939-002 3082-002 3217-002 3378_002 3530-002 3676-002 3816-002 0004 3608_002 3715_002 3819_002 3919_002 4109_002 4290_002 4t03_002 4707-002 4901_002 50811-002
0006 5411-002 572-002 5728-002 5878-01)2 6164-002 6434-002 6755-002 7060-002 7351-002 7 632-002 0008 7214-002 7429-002 7636-002 7836-002 8lin8-002 8579-002 9006-002 412-002 9801-002 1 018-001 0010 901 7-002 92lt6-002 9545-002 9795-002 1027-001 1072-001 1126-001 11 76-001 1225-001 1272-001 0middot012 1middot082-0n1 1middot114-001 1145-001 11 75-001 1232-001 1287-001 1351-001 1412-001 147 0-001 lmiddot526-001 0014 1262-001 1300-001 1336-001 1371-001 1 438-001 1501-001 1576-001 1647-001 1715-001 1 78O-OOt
0016 1442-001 1485-001 1527-001 1567-001 1643-001 1715-001 11101-001 882-001 1960-001 2035-001 0018 162-001 1670-001 111 1-001 1762-001 18U-00I 1929-001 2026_001 2117-001 2205-001 2 289-001 0020 1802-001 1856_001 1908-001 1958-001 2053-001 2143_001 2 2~1)-001 2352-001 2 449_001 2 543-001 0025 2251-001 23I8-001 2383-001 2446-001 2565-001 2678-001 21112-001 2939-001 3061-001 3178-001 0030 2699_001 27~0-001 2858_001 2933-001 3017_001 3213_001 3373 _001 3526-001 3672-001 312-001
0035 3146-001 3241-001 3332-001 34Z0-001 3587-001 3746-001 3934-001 4112001 4282-001 4 446-001 01140 3591 - 001 3700-001 3804-001 3905-001 4091-001 4278-001 4493-001 4697-001 4892-001 5 079- 0n 0045 4035-0111 4157-001 4275-001 4389-001 4605-001 4809-001 5051-0nl 528-001 5501-001 5712-001 0050 4477-001 4613-001 4744-001 4871-001 5112-0111 5339-001 5609-001 5A64-001 6108-001 6 343-001 0middot060 h 33-01l 1 551 8001 5677-0111 58Z9-001 6120-001 6394-001 671 9-001 7026-001 7320-001 7 tl 03-001
0070 6218-001 6413-001 6599_001 6779-001 7120001 7442-001 7822_0111 8182-001 8526-001 8857-001 0080 709-001 7294_001 7509-001 7717-001 8110-001 8481-001 891 8OII 9331-001 9726-001 1 010000 0090 7903-001 8160-00 8405_001 8641-001 9088-001 9508_001 1000000 1047- 000 1092000 1135-000 0100 8719_001 9008_001 9284-001 9549-001 1005000 1052000 1108_000 1160middot000 1210-000 125hOOO 0120 1029000 1065000 1099000 1131+000 1193_000 125000 131 8000 i382middot000 1 443_000 1 501+000
01 40 1177+000 1220middot000 1261-000 1300middot000 1373+000 1442000 1523000 l59A-000 1670-000 1 139000 0160 1317middot000 1367middot000 1414middot000 1460middot000 1546-000 1626middot000 1720-000 1808middot000 1891+000 1971-000 0180 1449+000 1505-000 1560000 1612-000 1710000 1802-000 1909000 2010-000 2105middot000 2196middot000 0200 1572middot000 1636middot000 1697-000 1755-000 186hOOO 1969+000 209000(1 2204middot000 2311-000 2414-000 0250 1852middot000 1932-000 2009000 2083middot000 22Z4000 2356middot000 Zt1 hooo 265middot000 2794-000 2 926-000
0300 2095-000 2190middot000 2283000 2372middot000 2541-000 2700-000 2888000 306-000 3232+000 3392-000 0350 2309-000 2419_000 2 1 525000 2 162811110 2823000 300e-ooo 3221_0110 3433-000 3630-000 3U+000 0400 2500middot000 26Z3_000 2742+000 2857+000 3 1 017000 3286000 3534 _000 ~769-000 3992000 4206middot000 0450 2673000 2808_000 2938000 3065_000 3308_000 l539_000 381 4000 4075+000 4324+000 4 563000 0500 2830000 2976_000 311 7_000 3254+000 3519_000 377hOOO 4071 0110 4356-000 4630_000 1193000
0550 2974+000 3130-000 3281middot000 34Z9middot000 37I3-000 3984+000 4308_000 4jI17-000 4913middot000 5198-000 0600 3101middot000 3middot272+000 3433000 3590+000 3892+000 4182-000 4528000 459-000 5176middot000 15483+000 0650 3231middot000 3405+000 3574middot000 3740000 4060000 4366middot000 4733000 50 084middot000 5422-000 5 749-000 0700 3346+000 3529000 3707-000 3880middot000 4216000 4539middot000 4925000 5296000 5653-000 5999000 0750 3456+000 3middot646-000 3832-000 4013middot000 4364+000 4702-00n 5107000 549j1-000 5871-000 6235-000
0800 360middot000 3757_000 3950middot000 41 39-010 4504000 4856-000 5279+000 586-000 6078middot000 6459000 0850 360-000 3864-000 4064-000 4260+000 4639middot000 5004-000 5444middot000 51116-000 6276-000 _6 612-000 0900 3757000 3968000 4175+000 4377+000 4169000 5147_000 502_000 6041+000 6 465-000 6 877000 0950 3854000 4011000 4283-000 4491-000 4896000 5286+000 5756000 6210+000 6649_000 7 075000 1000 3950-000 173000 4391_000 4605-000 5021_000 5423000 5901000 375000 6828000 7 268_000
1100 414hooo 382middot000 4611-000 4836middot000 5272middot000 5695-000 620S+000 6699-000 7177+000 7 643000 1200 43~2middot000 4606-000 4844-000 5078-000 5534-000 5975000 6508000 702middot000 7526-000 8 01 4-000 1300 4604-000 4855+000 5102-000 5344-000 5816+000 6273middot000 61127middot000 7363-000 7884middot000 13392-000 l400 4886-000 5144-000 5398middot000 5647middot000 6133-000 6604-000 7174+000 772emiddot000 8266middot000 13191-000 1500 5223middot000 548hOOO 5746middot000 6001middot000 6498-000 6980-000 7565-000 81 32000 8684middot000 9223000
Page 119
TABLE 13
THE ENTHALPY AND EXCESS ENTHALPy OF THE TOTAL HE3 - HE4 SOLUTyON
X bull 00001 X bull 00002 X bull 00005 It bull 00010 X bull 00020
T -H HE -H HE -H HE -H Hp -H HE IKI (JMOLE) IJMOLEI IJMOLEI (JMOL1 IJMOLEI IJMOIEI IJMOLpoundI fJMOIEI IJMOLEI IJMOLEI
0000 0001 0002 0003
3905631 3905631 3905631 3905630
-000021 -000021 _000021 -000021
3905261 3905261 3905261 3905261
-000042 -000042 -000042 -000042
3904151 3904151 3904150 3904150
-000104 -000104 _000103 -000103
3902297 39112297 3902296 3902296
000203 -000203 _000 202 _000 202
3898580 3898580 3898579 38 98579
_000392 _000392 000391 _000391
0004 3903610 _000021 3905260 -000042 3904150 _000103 3902296 _0 00202 38 985711 _000390
0006 3905630 -000021 3905260 -0110041 3904149 -000102 3902294 -000200 3898576 _000388 0008 0010 0012 0014
3905630 3905630 3905629 3905629
-000020 -000020 -000020 -000020
3905260 3905259 39 05259 3905258
-00004i -000040 -000040 -000039
3904148 3904147 3904146 3904145
-000101 -000100 -000099 -000098
3911229 39(12291 3902289 39CI2287
-00199 _000197 -000195 _000193
3898574 ~89851l 38 bull98567 3898561+
_000386 _000383 _000l80 000376
0016 3905629 -000019 3905258 -000039 3904143 -000097 3902284 -000191 3898560 _000313 0018 0020
3905629 3905628
-000019 -000019
3905257 3905257
middot000038 -00003$
3904142 3904141
-000095 000094
3902282 3902280
000189 -000186
3898556 3898552
_000369 _000365
0025 3905628 -000018 3905255 -000037 3904138 -000091 3902274 000181 3898541 000355 0030 3905627 -000018 3905254 -0110036 3904135 middot000089 390228 _000115 3898530 _000344
0035 3905627 -000017 3905253 middot000034 3904132 -000086 39022(12 middot000170 38 9851 9 _000333 0040 3905626 middot000011 3905252 -000033 3904129 -000083 3902216 000164 3898507 000323 0045 3905625 middot000016 3905250 -000032 39 04126 middot000080 3902210 -000159 3898495 0middot00312 0050 3905625 -000016 3905249 -000031 3904123 -000077 3902244 000153 3898483 000301 0060 3905623 -000014 3905247 -000029 39 04117 middot000072 3902232 -000142 3898459 _0middot00280
0070 3905622 -000013 3905244 -000027 3904110 -000066 3902220 -000131 3898435 000258 0080 0090
3905621 3905620
-000012 000011
3905242 3905239
-000024 -000022
39 04104 3904098
-000061 _000055
39112207 3902195
_000120 000110
38 98411 38 98387
000237
0002 16 0100 39056 18 -000010 3905237 -0110020 3904092 middot000050 39021A3 -000099 3898362 000195 0120 3905616 -000008 3905231 -000016 3904079 -000039 39112118 000078 3898313 000153
011+0 3905613 -00006 3905226 -000012 3904066 middot000029 3902132 000058 3898263 000113 0160 3905610 middot000n04 39115221 -000001l 3904053 -000019 3902107 000038 1898213 000073 0110 0200 0250
3905606 3905603 3905592
-000002 000000 000005
39 05215 39(15209 3905191
middot000004 000000 000010
3904040 39 04026 39 03990
middot000009 000001 000025
3fh020lH 3902055 3901 988
000018 000002 000050
3898163 38 bull98112 3897983
000034 0middot00005 000101
0300 3905577 000010 3905110 000019 3903951 000049 3901 9 19 000097 38 97850 000196 0350 3905557 00001 4 39115144 000029 3903906 000072 3901841 000 145 3191712 000291 0400 3905529 000019 3905110 000031 3903853 000096 3901157 000191 3897566 000384 0450 0500
3905491 3905441
000024 000028
3905066 3905009
000047 000057
3903790 3903115
000119 000142
3bullbull01664 3bullbull 015i1
000238 000284
3897410 3897242
000416 000568
0550 3905375 000033 39 04938 000066 3903625 0001 64 3901 436 000329 3891058 000659 0600 0650 07BO 01 0
3905291 3905181 3905927 3904 99
000037 000042 000046 000051
3904848 3904731 39 04571 39 04336
000075 000084 000093 000101
3903516 39 03381 39 03202 3902949
000187 000209 000232 000254
390126 3901130 39 09203900636
000374 000419 000463 000507
3896856 3896628 38 bull96356 38 bull96009
000749 000839 000927 0middot01015
0800 3904446 000055 3903978 000110 3902511 000275 3900227 000551 3195539 001102 0850 0900 0950 1000
3903900 3903065 3901826 3900046
000059 000064 000068 000072
3903425 3902584 3901339 3899553
000119 000127 000136 000144
3902000 3901141 3899871 3898073
000297 000318 000339 000360
3899625 3898735 3197441 3895601
000594 000636 000611 000720
3894815 3893923 3192569 3890613
001188 001273 001357 001 440
1100 31942)5 000080 3893710 000160 3892195 000401 31189669 000801 3884611 001603 1200 1300
3184068 3867610
000088 000096
3883551 3867012
000116 000191
3882002 31 65500
000440 000478
39 79418 3162863
0Dn880 000955
3874252 38 57588
001160 001 911
1400 1500
3842097 3804138
000103 000110
38 bull 41559 3803592
000206 000219
3839947 3801954
000514 000548
3837260 37 99224
001 028 001 096
38 31887 3793163
002055 002193
Page 120
TABLE 13 (CONTINUEO
l( bull 00030 X bull 10040 X bull 00050 X bull 0060 )( 00080
T bull lot HE -H HE -H HE -H HF -H HE (K (JMOL) (JMOEI IJMOLE) (JMOLE) (JMOLEI (JMOLE) (lMOE IJMOLE) IJMOLEI tJMOLE)
0000 0001 0002 0003 0004
38948l2 3894852 38948l2 3894851 3894850
-000570 -000570 -000570 _000569 000568
3891116 3891116 3891116 3891115 389 111 4
-0bull 00740 -000740 -000740 -000739 -0007311
38117372 3887372 3887372 3887371 3887370
-000902 -000902 -000902 -000901 -000900
3883622 3883621 31=1 83621 38 83620 3A83619
_001058 -001058 00)05700056 _001055
876101 3876101 3876101 38 76101 38 76099
_001349 _001349 _001349 001 348 _001 347
0006 3894848 -000566 3891112 -000736 3887367 -000898 3883616 -001053 3876096 _001J44 0008 0middot010 0012 0014
3894845 3894841 3894837 38 94832
-000563 -000560 -000556 -000551
3891108 38 91104 3891099 38H093
-000732 -000728 -000724 -010718
3887364 3887359 3887353 3887347
-000A94 -000890 -000884 -000878
31113612 3883607 3A83601 31i83594
-001 049 -001044 -001038 _001032
3876091 3876085 3876079 3876071
001340 -0middot01334 _deg01 328 _001321
0016 3894827 middot000546 3891087 -000712 3887340 -000872 38835A7 001024 3876062 001 312 0018 0020
3894822 3894816
-000541 -000536
3891081 3891074
-010706 -010700
3887332 3887324
-000864 -000857
3A83578 3A83569
-001016 -001008
3876052 38 76041
_001303 0 middot01293
0025 0030
3894801 3894785
-000521 -000507
38 bull91055 38bull91035
-0006112 -000663
38bull 87302 3887279
-000836 middot000814
38 83544 3Abull 1I3517
-000985 -000959
38 76011 3875978
-0middot01265 _0middot01234
0035 3894769 -000491 389101 4 -000644 3887253 -000791 38834118 -000932 3875942 001201 0040 0045 0050 0060
38947~2 3894735 38947 18 3894683
000476
000460 _000444 000413
3890992 38 bull90970 3890948 3890902
-000624 000603 middot000583 000542
3887227 38 87200 3887173 38 8711 6
-000767 _000742 000717 _000666
3883457 3883426 3883394 3883327
000904
000876 _000847 _00(1787
3875904 ~875864 38 75823 38 75737
001166
001130 _001093 _001018
0070 3894647 -000381 3890855 -000500 3887059 -000616 38 tl 3259 -000 727 38 75649 _000940 0080 0090 0100 0120
3894611 3894575 3894538 3894465
-000350 -000318 -000287 -000226
3890807 3890760 38 bull90711 38 bull90614
-000459 middot000418 middot000377 000296
3887000 3886941 38 86881 3886761
-000565 000514 middot0middot00463 -000363
38 tl3190 3883120 38 83049 38 tl2905
-000667 -000607 -000546 -000427
3875559 38 75467 3875374 38 75186
_000862 000783 000705 000548
0140 3894391 middot000166 3890516 middota00216 3886639 middot000263 3882760 -000309 3874995 000392 0160 0180 0200 0250
3894317 3894242 3894167 3893976
middot000106 _000047
000011 000155
3890418 389031 9 389021 9 38 89968
000137 -000059
000019 000210
3886517 3886394 3886270 3885958
middot000165 -000068
000028 000266
3882614 3tl 82467 38 82319 3881946
-000192 000076
000039 000324
3874802 3874607 3874412 38 73918
_000238 000085
000067 000444
0300 3893782 000297 3889712 000399 3885640 000502 3881567 000606 3873418 000819 0350 0400 0450 0500
3893581 31193313 3893156 3892925
000438 000577 000116 000854
3889450 38 bull89180 38 bull88900 3888608
000586 000172 000957 001140
3885317 38bull84985 38 84644 3884289
000736 000968 001198 001427
38~113 3F1 bull807A9 3Abull tl 03A6 3A79970
000886 001165 001 44 1 001 715
38 72911 38 72395 38 bull 71869 38 71330
001191 001561 001928 002Z9J
0550 389Z679 000990 3888300 001321 3883920 001654 3879539 001 9S7 38 70775 002654 0600 0650
3892415 3892125
001125 001259
3887974 38876Z1
0015(11 001680
3883532 3883117
001878 002101
3879089 3A78613
002256 0025Z3
3870202 3869602
003013 003369
0700 0750
3891791 3891382
001392 001523
3887225 3886755
001857 002032
3882659 3882127
002322 002542
3878093 311117499
002789 003051
3868958 38 68241
003722 004072
0800 3890850 001654 3886161 002206 3881471 002758 3876781 003311 3867400 004418 0850 3890114 001783 3885373 002378 38 80622 002973 3875870 003569 38 66366 004761 0900 3889111 001910 38 tl4299 00254A 3879487 003186 3874674 003824 3865047 0middot05101 0950 1000
3887696 3885740
002036 002161
38 bull82822 38 bull80806
00276 002882
3877949 3875872
003395 003603
3873075 3870938
004075 004324
3863326 3861069
005436 005767
1100 3879565 002404 3814512 003206 38 69460 004008 3864407 004810 38 54301 006415 1200 1300
386901115 3852313
002640 002867
386391 8 3847038
003520 003822
3858751 3841763
004401 004718
3853584 3836488
005281 005734
3843Z511 38 25938
007043 007646
1400 3826513 003083 3821139 004111 3815765 005140 31110391 006168 3799642 008Z24 1500 37883n3 003289 3782842 004386 3777381 005483 3771 921 006579 3161000 008772
Page lZ1
TABL~ 13 (CONTINUED)
X bull 00100 I( bull 00150 )( bull 00200 )( bull 0n20 l( bull 00300
T -M HE -H HE -M HE -101 HE -H HE 11(1 IJMOLI) (JMOLEI IJMOLll IJMOLEI IJMOLE) IJMOLEI IJMOLrO IJMOLEI IJMOLEI IJMOLEI
0000 386A5118 -001f18 3849616 -00~2011 3830572 middot002692 31111442 00092 3792236 003416 0001 386851118 001618 3849616 -002206 3830572 -002692 3811441 middot001091 H 92236 003416 0002 0003
3868558 386ASo7
_001611t 001617
38 bull 4961b 38 49615
-00220 -002205
38 30571 3830570
-002691 -002690
3A11441 3811 4 3C1
_00)091 00309 0
]79223J 379i234
003416 _003414
0004 38685136 -001616 849613 middot002204 383069 -002689 3811 438 003088 3792232 0034 13
0006 386852 -001613 middot1849609 -002200 JIt3056 -002685 3811433 -00]084 H 92227 003408 0008 0010
3868547 3868541
middotOOlMIt -001602
]849604 3849596
-002195 -0021111
3830558 3830550
-002679 -002672
38114iJ6 38 11 417
-003078 middot003070
37 bull 92220 3792211
003402
0middot03394 0012 0014
3868534 3868525
001595 -0015ti7
3849588 38 bull 49577
middot002180 -1102171
38 30540 38 30529
middot0middot02664 -002653
3Amiddot11 407 38 113C14
-003061 -003 050
37921 9 3792186
003385 _003373
0016 3868515 middot001578 3849566 -0Cl2160 3830516 middot002642 3A1130 _003038 3792171 _003360 0018 0020 0025
3868504 38611492 3868458
-001568 _001557 001526
3849553 31t49538 384949b
-0U2149 0 02135 -0112098
3830501 3830484 3830437
-002629 _00261 4 002572
3811364 3811346 3111294
003024
003008 _002962
3792153 3792134 3792078
003345 _003329 003280
0030 3868420 0111490 3849448 002054 3830380 002522 311111231 _002908 3792111 0 003222
0035 38611371 -001452 3849393 middot002005 3830316 middot0024b5 3811159 _002845 37 91931 003154 0040 0045
3868332 386112A5
-001411 -001368
38 49334 3849270
-001952 -001895
38302116 3830169
-002403 -002336
3111111179 3~10992
-002175 -00700
3791843 3791746
_00]079 _002996
0050 3868236 -001324 3849203 middot001836 3830088 -002264 3810898 -0026 19 3791642 -002907 0060 3868133 middot001233 849062 -001 712 38 29912 -002113 3AI0694 -002444 3791 4 12 -002713
0070 386806 -001139 3848912 -001582 3829725 -001952 3810472 middot00256 3791161 002501 0080 38679 16 -001044 3848755 -001448 3829527 -001784 3810238 002059 3790892 002278 0090 0100 0120
3867803 3867689 3867457
middot000948 -000852 00065
3848595 3848430 3848093
-001312 -001174 000897
3829322 3829111 3828676
-001612 -001437 -0010
3A0999 31109738 311119211
-0Oi854 middot0Oj645 001 217
379060 3790315 3789701
002044
001804
001308
0140 3867220 -000467 3847748 -000618 3828228 -000721 3A08664 000780 ]71190611 000799 0160 3866981 middot000117 3847398 -000340 3827170 middot000359 311 08103 -000339 3788401 000283 0180 3866740 -000087 3847043 -00001 3827306 000004 3A07533 000104 37 87127 000238 0200 0250
3866498 38658115
000102 000570
3846685 38 45779
000216 000908
3826836 38256113
000367 001275
38116904 3805481
00550 001 669
37 117042 37bull 85295
000163 002086
0300 38652l4 001036 3844860 001598 3824431 002185 303981 002794 3783512 003421 0350 0400 0450
3864636 3863998 3863349
001499 001960 0Ol418
3843931 3842990 3842037
002287 002974 003656
3823205 3821965 3820710
003096 004004 004909
31102462 3A0095 37 99371
003922 000049 0011173
37111103 37 79873 3778023
004763 006106 007447
0500 38626117 002873 3841069 004335 3819439 005809 37 ~n800 007292 3776153 008783
0550 31162009 003324 3840085 005008 3818151 006703 37 96209 008405 37 74262 0010113 0600 0(51) 0700 0750
3861312 38605119 3859823 3858982
003772 004217 004657 005094
3839082 3838052 3836977 3835829
0115678 006342 007000 007654
3816843 38 15507 38 14127 38 12672
00759 1 008474 00 9349 010218
3794597 37 929S7 3791272 37 895J3
009511 0106 10 011 701 012784
3772348 3770406 37 6841 7 376635
011435 012749 014054 015349
01300 3858Gl8 005527 3834558 008301 3811095 011078 3187631 013857 37 64169 016634 0850 0900 0950
3856861 3855419 3853577
005955 006379 006798
3833095 38 31348 3829203
008942 009576 010203
3809327 3807276 3804828
011931 012714 013609
3755C9 37 83204 378 0455
014920 015972 017012
3761 793 37 59136 3756085
017906 019166 020412
1000 3851199 007211 3826524 010822 3801849 014432 3777176 01111040 3752509 021643
10 100 3844194 008021 38 189Z8 012034 3793664 016046 37 68404 020053 3743150 024055 1200 10300
38329 15 38153A8
008804 009559
38070eo 37bull8901
0132011 014337
3781247 37 62644
017608 0019112
3155420 37362110
022003 02388 0
3729600 3709925
026390 028639
1400 1500
3788895 3750079
0010280 010965
37 egt2027 37 22780
0154111 016444
3735165 3695487
020550 0219 17
3708310 36 68202
025675 027381
3681 464 3640927
030 79 1 032836
Page 122
TABlF 13 (CONTINUED)
X bull 00350 X bull 00400 X bull 00450 )( bull 0middotn500 )( bull 0middot05S0
T -H HE middotH HE middotH HE H HE middotH HE (K ~JMOLI) JMOLEI (JMOLE) ~JMOLE) IJMOLEI (JMOLEI (JMOUI IJMOLE (JIoIOLf) I JMOlEI
0000 3772966 -003676 3753637 middot003877 37 3U57 middot004027 37 h8JO 004130 J695360 004190 0001 0002
3772966 3772965
003676
003675 37gt3637 3753636
middot003877 0deg3876
3734257 3734256
004027 -004026
3714829 37 14828
004129 004129
1695360 36 bull95359
004190
004189 0003 0004
377293 3772962
_003674 003672
37 53635 3753633
-003875 -003874
3734254 3734252
-004025 -004023
3714827 37 1482)
-004127 004U6
36 95357 ]69535S
004188
004186
0006 3772956 -003668 37gt3627 middot003869 3734246 -004018 3714818 004121 3695348 _004181 0008 0010 0012 0014
3772948 3772939 3772927 3772913
-003661 -003653 middot003643 003631
375361 9 3753609 3753596 3753581
-003862 -003854 -003843 middot003831
3734238 3734227 3734214 37 34198
-004011 -004002 -003992 -003979
37148O 3714798 3714785 3714768
_004114 -004104 004093 004080
3695339 3695328 3695313 ]695297
_004174 _0middot04164 _004153 0middot04140
0016 3772896 -003617 3753564 n03811 3734180 -003964 37h700 -004065 3695277 _004125 0018 0020
3772878 3772857
-003602 -003584
3753545 3753523
003801 -003783
3734160 3734137
-003948 -003929
37147f 9 37 14705
-004048 -004029
369525S 3695231
004107
004088 0025 0030
3772797 3772725
003533
003472 37gt3460 3753383
003730 -003666
3734071 3733990
-003875 -003808
3714636 3714552
_003973 -0OJ905
369515 3695072
004030 _003960
0035 3772641 -003401 3753294 -003591 3733897 -003731 3714404 _003826 3694cJ70 003879 0040 3772546 -003321 3753193 -003507 3733790 -003643 3714342 -003735 3694853 _003785 0045 0050
3772441 3772326
-003232 -003136
3753080 37 gt2958
-003413 middot003311
3733671 3733541
-003546 -003439
3714217 37h080
-00]633003522
3694722 3694579
_0middot03680 _00356sect
0060 3772075 -002925 3752686 -003086 3733250 middot003200 3713772 -003272 3694256 _003306
0070 3771796 -002693 3752383 -002836 3732924 002935 3713426 002993 3693890 003014 0080 0090 0100 0120
3771496 3771179 3770847 3770150
-002446 -002186 -001917 _001359
n52054 3751704 3751338 3750563
-002568 -002284 -001 98q -001372
3732569 3732190 3731790 3730941
-002647 -002342 002023 001352
3713046 3712638 3712207 37112e8
-002688 _002363 -002021 -00300
3693487 369305J 3692593 3691607
_002693 _002350 _001 988 _001219
0140 37 69420 -000783 3749747 -0U0732 3730043 -000651 3710311 _000543 l69055J _000408 0160 3768665 -000195 3748900 -000076 3729107 000069 37U9290 000240 1689449 000434 01 80 0200 0250
3767892 37 67104 3765089
000401 001002 002524
3748030 3747142 3744863
000 59 1 001266 0029A l
3728143 3727157 3724621
000805 001552 003454
37U823sect 3707103 3704365
001041 001 857 003942
36M306 3687131 3684095
001298 002181 0middot04444
0300 3763027 004065 3742527 004723 3722015 005394 37014q2 006075 3680959 006766 0350 3760932 005617 3740150 006482 3719359 007356 3gt8560 00823M 3677755 009125 0400 0450 0500
3758811 3756667 3754500
007173 008729 010279
3737741 )735305 3732844
008249 010016 011779
3716665 3713940 3711186
009330 011307 013281
31955~4 312572 3~89528
010416 012600 014783
3674500 367120] 3667871
011506 013895 016284
0550 3752311 011824 3730358 013537 3708405 015250 386454 016962 3664505 018671 0600 0650 0700 0750
37 50097 3747853 3745563 3743197
013361 014888 016406 017913
3727846 3725303 3722711 3720044
015286 017027 018756 020474
370sect596 3702754 3699864 3696896
017211 01 9 162 021102 023029
318330 36t0210 31701 36 73704
019132 02 293 023442 025577
36 61107 3657b7c 3654185 3650620
021050 023419 025776 028119
0800 3740709 019408 37172sect4 0 22177 3693805 024941 370364 027697 3646931 030444 0850 3738031 020889 3714274 0 23866 3690525 026837 3666784 029798 3643052 032751 0900 3735072 022356 3711015 025539 3686966 028714 3662926 031 88 0 36 38t96 035036 0950 1000
3731722 3727847
023807 025240
3707366 3703194
0 27194 028828
3683018 3678550
030572 032408
3658680 36 53917
033940 035976
36343sect 3629296
037298 039533
1100 3717903 028048 3692666 0l2033 3667440 036006 3142225 03q96A 3617024 043917 1200 1300
3703789 36fI3S80
030769 033389
3677988 3657246
035137 03812A
3652199 3630925
039494 042853
3126423 360461A
043837 047565
3600662 3578326
0middot48166 052261
1400 10500
3654629 361364
035897 038279
3627806 35 1f6414
0 40989 04370q
3600997 35 59179
046068 049124
35 74204 3531 960
051132 054523
3547426 3504757
056181 059906
Page 123
TA8LE 13 (CONTINUEDI
l( bull 00600 )( bull 00640 )( bull 00650 )( bull 0117(10 )( bull 00750
T (Kl
middotH (JMOL1
tolE (JMOLEI
middot101 (JHOLEI
HE (JMOLEI
middot101 (JMOLEI
HE (JHOLEI
11 (JHOLF1
HI (JMOLEI
104 (JMOLE)
1111 tJMOLEI
0000 0001 0002 0003 0004
]675852 3675852 3675851 3675849 3675847
004212
004212
004211
004i110
004208
]660221 ]660220 36b021 9 3660218 36b0215
middot004205 middot004204 -0042n4 middot004202 -004201
]656310 36 56309 36 56308 3656306 3b 56304
004200 -004199 004199 004197 _004195
36 3671i 36 3675 3636734 3636732 36 36730
004155
004155
004154
004153
004151
HlI7133 ]61713Z 3617131 ]61712 617127
004083
004082
004082 _004080 004078
0006 0008 0010 0012 0014
3675840 3675831 3675819 36758 04 3675787
-004203 -004196 -0041 8 6 -004175 -004161
36deg0208 3660199 1660186 600171 3660154
middot004195 middot004188 middot004178 -0114167 -004153
3656297 365628S 3656275 3656260 36 56242
-004190 -004183 -004173 -004162 -004148
3636723 36$67 13 3636700 3636684 3136666
004146
00138 -004129 -004117 -004103
36 17120 3617109 3617096 3617080 3617061
004073 _004065 _004056 _004044 _0middot04029
0016 0018 0020 0025 0030
3675717 3675744 3675719 3675644 36 75554
-004145 004128 -00410B -004049 003978
3660133 3660110 3660084 ]660008 ]659911
-004137 middot004119 middot004099 -0114040 003967
3656222 3656198 3656172 3656095 3656002
middot004132 00411 4 -004094 middot004034 -0D3901
3636645 3136621 3636594 36 36515 31364 19
-004087 004068 004048 00]987 _00]914
3617040 3617015 36 16i88 36169 06 3616807
004013
003995
003974 _003912 _003837
0035 0040 0045 0050 0060
]675448 ]675327 36751 9 1 ]675042]6747 04
-003894 -003798 -003691 -003572 -003304
3659806 ]6I9682 3659542 3659388 3659 039
-003882 -003784 middot003675 -003554 -003280
3655892 3655767 3655627 3655471 3655120
middot003876 -003778 -003668 -003546 -003270
3636306 3t-36177 3636~]1 3635871 31)55(17
_003826 -003727 00]614 middot00]490 -003207
3616691 36165511 3616409 3616243 3615867
_00]749 _003647 -0middot035]] _0middot03406 -00]U7
0070 0080 0090 0100 0120
]6743i0 3673896 36734~7 ]6 7 2948 36 7 1899
-003000 -002666 002306 001925 -001113
3658641 3658201 1657723 3657214 165611 5
-002967 ~01I2623 -0112251 -001855 -001009
3654719 3654274 3653792 3653217 36 5UM
-002956 -002609 -002234 0011135 _00098 1
3635090 3634626 31341~1 36$35S1 332412
-002884 002525 _002136 -0017c1 _0On 828
3615434 3614953 3614427 3613863 3612637
002785 _0024 16 002014 _001583 000654
0140 0160 01 80 0200 0250
3670772 36695138 36613358 3667093 3663814
-000250 000648 001574 002520 004956
3654932 3653685 3652388 3651051 3647581
middot0001011 0(10834 (101 81)6 002803 005314
36 50970 3649707 3648394 3647040 3643522
-000070 000882 001 866 002875 005479
3631147 36 Z98 10 36 l84 1i 326974 36u~3222
0On129 001133 002173 003242 006011
611307 3609896 360842Z 36 06896 36029 15
000346 001399 002494 00]6210middot06549
0300 0350 0400 0450 0500
36604 19 3656946 36534 14 3649835 3646215
007464 010018 012597 0151 89 011784
3643983 36middot0296 3636544 36 32741 ]628893
008027 010734 013471 016223 018981
3639873 363613] 3632327 3628467 3624563
008169 010 913 013689 016482 019280
3119322 315319 3111240 3117103 3602916
0011878 011 8 11 014781 017172 020171
3598766 3594503 3590155 3585741 3581273
009592 012 109 011172 019059 022258
0550 0600 0650 0700 0750
3642560 3638869 3635139 3631357 3627495
020376 022962 025539 028 102 030651
3625007 36 21083 361711 9 3613101 36 09 002
021737 024488 027229 029957 0 32670
36 206 19 3616638 3612615 3608538 36 04379
022017 024868 027650 030420 033173
31)986115 35 9441 3090099 3085728 3SIJ1275
02171 026767 029753 032727 035685
35767511 3572198 3567593 356292i 3558 182
0middot25459 02Sb57 031 15 47 0middot]5024 038 185
0800 0850 0900 0950 1000
3623508 3619331 361878 36100]9 3604617
033182 035692 038180 0 40643 043071
3604177 3600363 35i5672 3590597 3585010
035364 038037 0 40687 0 43309 0 45903
3600096 3595622 3590872 3585738 3580092
035908 038622 041312 043975 046607
35 76695 3071 925 35b68S0 3obI451 3555512
038624 04 1540 044430 047293 050123
3553307 3548242 1542901 3537179 3530948
041326 04444 047535 050595 053622
10100 1200 1300 1400 1500
35 9 1837 35149 15 355201 3520665 3477572
047851 052480 056941 061212 065271
357698 3554330 3531042 3499269 3455838
050988 0 55920 0 60673 0 65223 0 69549
3566664 3549185 3525792 3493922 3450406
051771 056778 061604 066225 070617
35 4 15 08 35 23472 3499502 3407198 3bullbull c32C9
055674 061059 066249 0 7 1219 075943
3516369 3497716 3473330 3440494 3396133
0middot59561 065322 070875 0 761 93 08149
Page 124
TABLE )3 (CONTINUED
l( bull 00800 X bull 00900 X bull 01000 X 0100 X bull 01200
T -H HE -H HE -101 F -p ME _101 ME (1lt) (JMOLFI JMOlE) (JMOlE (jMOLE IJMOLE IJMOLEI (JMOL (JMOLE IJMOLE IJMOLEI
0000 35 975(14 middot003984 3558178 middot00371R 3518774 middot003374 3479308 002968 3439792 _00~512
0001 0002 0003 000 4
359750 4 35 975 02 35 975nl 35 97498
middot003984 003983 003981 _003980
3558177 3558176 3558174 3558171
middot003717 -0037 17 -003715 -0U3713
3518773 35 18772 3518770 3518767
middot003374 003373 003371 003369
3479307 3479306 3479304 34 79301
002967
002967
002965
002963
34 39792 )43979( ~43978l1 34 39785
002512
002511 _002~10 002508
0006 3597490 middot003974 355EH64 -00370R 3518759 -003364 34 79292 -002957 34 39777 0middot02502 0008 0010 0012 0014
3097480 35 97467 3597450 35 974~1
-003966 -003957 -003944 -003930
3558153 3558139 3558121 35 58101
-003700 -003690 -0113677 -0113663
3518748 3518733 3518715 3518694
-003356 middot003346 -003333 -003318
3479281 3479215 3479247 3479225
middotU02949 -002939 -002926 -0029 11
l43976 )439749 34 39729 3439707
002494 _00lt483 -0middot0~411 002456
0016 35 97409 -003914 3558078 -003646 3518670 -003301 34 79260 002894 34 39681 _deg02438 0018 0020 0025 0030
359 73R3 3597305 35 97272 359 7170
-003895 _003874 _003812 -003736
3558051 3558022 3557934 l557828
-0113627 -003605 -003542 middot003464
3518642 3518611 35 18520 35 18410
-003282 -003260 003195 003116
3479171 3479139 34(9045 3418929
-00(1874 -002852 002787 -002707
3439651 34 396 18 3439520 34 39401
_002418 _0023Y6 _002330 002249
0middot035 3597051 middot003646 3557703 -003372 3518279 -003023 34 78794 -0026 12 34 39260 _002152 0040 35969 14 -003543 3557559 -003267 3518129 -002915 34 786 38 -002502 34390915 _002041 0045 0050 0middot060
3096760 3596590 35 96202
-003426 -003297 -003003
3557398 3557218 3556809
-003147 -003014 middot002709
3517960 3517772 3517343
-002793 -002656 -002344
34 784102 ]47826 34778 18
-00378 -002239 -001 9 19
34389 10 3438713 3438248
-001 9 15 ~001774 _001449
0070 35 917o6 -002663 3556336 -002357 3516845 001980 3477298 _001 546 34 37706 _001067 0080 0090 0100 (l120
3595256 35 947 11 35 9413 3592844
-002284 0011170 001425 -000462
3555804 3555221 3554590 35)3209
-0111960 -001525 -001055 -000030
3516284 3515666 3514995 3513519
-001568 -001115 000623
000458
3476709 34 76059 34 75351 34737A7
-001122 000052 -000141
000988
34 37092 34 36411 34 35669 34 34021
_000633 000150
000378 001552
01 40 3591451 000579 3551696 001088 3511893 001644 347204 002237 3432188 0028~7
0160 3389969 001680 3550078 002277 3510147 002914 34701R6 003582 3430203 004270 01 80 0200 0250
35684]1 35 86808 3582602
002826 004010 007094
35 48376 3546607 3541961
~ 004S14 008198
3508303 3506380 -3501309
0middot04252 005644 0~09313
34 b8206 34 661 35 3460653
005004 00492 010432
34 28 093 3425880 34 20001
005772 0middot07349 ~1l547
0300 3578208 010308 1537088 011745 ]495969 013181 3454858 0146 08 3413762 016021 0350 0400 0450
3573687 3369072 3564385
013608 016960 02031+1
3532060 352691 8 3521688
015401 019125 0 228119
3490444 3484784 3479020
017182 021269 025409
3448846 34+2677 34363116
0lR946 023387 027894
3407273 3400612 3393791
020685 025472 030339
0500 3559637 023738 3516387 026676 3473172 029578 34ii9997 032441 3386869 035257
0550 3554838 02739 35 11025 030472 3467254 033764 3423529 037010 3379855 040204 0600 3549992 030538 3505609 034270 3461274 037955 34169A9 041589 3372762 0middot45165 0650 0700 0750
3545097 3540142 3535101
033930 037309 040672
35(01403494605 3488981
0J8062 0 41843 0 45607
34 55233 3449123 3442920
042143 046320 050482
3410383 341137Q1 33 96923
046167 050738 055293
3365594 3358345 335099)
050131 050090 060035
0800 3529933 044015 340 83227 0+9350 3436584 054622 3390008 059827 3343505 064959 0850 0900
3524573 3518938
047333 050624
3477281 3471060
0 53067 0 56754
3430055 3423250
058735 062816
3382899 33 75514
064332 06e804
33351119 3327857
069854 074713
0950 3512922 053R83 3464460 0 60401 3416068 066859 3367711i3 073236 3319520 079531 1000 3506400 057106 31+57357 0 64020 34 08387 070861 3359496 077622 3310689 084300
1100 3491247 063430 3441059 0 7 1113 3390950 078717 334 0924 086237 329098b 093670 1200 1300 1400 1500
3472100 3447128 34138 10 3369028
069566 075482 081147 086534
3420805 3394785 3360506 3314884
077996 0 84634 0 90992 0 97038
3369593 3342529 3307291 3260833
086343 093699 100747 107449
3318468 3290363 3254171 3206878
094603 102674 1104 08 117764
326743) 323829i1 3201148 3153024
102771 1011554 119971 1279 77
Page 125
TABLE 13 ICONTINUED
lC bull 01300 lC bull 01400 X bull 01500 lC bull 01600 lC bull 01800
T -H HE -H HE -H HE -H HE _H HEIKI IJMOLE IJMOlE IJMOLEI IJMOLE IJMOLE IJMOLEI IJMOLE 1JMOLE I IJMOLEI IJMOLE)
0300 3372687 017413 3331638 018779 3290622 020111 3249642 021 408 3167814 023869 0350 336570 022394 3324222 024067 3282756 02569 32413l~ 3158645 0303070~~860400 3358565 027519 3316572 029524 3274627 03147 3232734 O 3 82 U 49121 0370140450 3351242 032740 3308743 0 35091 3266299 037386 32 t 3912 039624 313933 0439050500 3343192 038021 3300771 0 40731 3257811 043378 32 14914 0415963 3129330 050923
0550 3336238 043341 3292683 0 46417 3249193 049427 3205772 052368 3119154 058027 0600 3328596 048681 3214495 052130 3240466 055509 31bull 96509 05815 3108833 0651900650 3320871 054028 3276218 057856 3231640 061608 1 87138 065284 3098385 0723860700 3313058 059373 l267846 063581 3222712 067711 31middot776~9 071760 3087812 0middot79i990750 3305140 064704 3259363 0 6295 3213668 073804 3168057 078230 3077104 0middot86810 0800 3297079 010014 3250733 074989 3204473 079979 3158299 084681 3066231 094008 0850 3288818 075296 3241902 080654 3195073 085924 314834 091104 3055144 1011780900 3280282 080540 3232793 086281 3185395 091931 31 38090 091488 3043773 1083080950 3271311 085741 3223311 0 91863 3175344 097890 3127473 103823 3032031 115388 1000 3261969 090891 3213340 0 97391 3164807 103794 3iU372 110101 3019808 122406
1100 3241139 101011 3191388 108256 3141738 115402 3092188 122446 29 9340 1036214 1200 3216498 110843 31065660 118816 3114925 126686 30middot64296 134451 2963367 1middot496501300 3186321 120334 3134452 129012 3082690 137583 30310]6 146047 2928067 162633 1middot400 3149228 h29431 3095413 1 38787 3042708 148032 2990114 1057166 28 85274 1 7508710500 3099275 138086 30 45634 1 48086 2992106 157974 2938691 167749 2832218 186942
TABLE 13 ICONTINUED)
lC bull 02000 lC bull 02250 lC bull 02500 lC bull 0~750 lC bull 03000 HET -H -H HE -H HE -H HE -H HE
11( IJMOLE IJMOLEI IJMOLEI IJMOLEI 1JMOLE 1 IJMOLEI 1JMOLE I IJMOU IJMOLE IJMOLE 0300 3086192 026125 2984509 028600 2883270 030630 2182540 032152 2682380 033103 0350 3076190 033094 2973502 036195 28 71296 038815 2169633 040893 2668572 0423680400 3065773 040385 2962000 0 44185 2858742 047469 2156058 050180 2654004 052260 0450 31550~7 LIl 2950113 0 52455 2845736 056461 27 41960 059864 2638842 062610 0500 3044049 055579 29 37921 060926 2832369 165698 2727446 069141 2623204 013302
0550 3032858 063364 2925485 069539 2818712 075113 271252 080034 2607178 084249 0600 3021496 071225 2912844 0 78251 2804815 084653 2697460 090382 25908~9 095385 0650 3009986 0 79 135 2900025 0 87031 2790710 094283 26 82088 100140 2574210 106655 0700 2998333 087069 2887042 095851 2776415 103968 26 66500 111372 2557346 1middot180170750 29amp6531 095011 28bull 73890 104688 2761931 113682 26 50701 121947 2540247 129436
0800 297455 102942 2860548 113521 2747241 123401 2634678 132537 2522906 140881 0850 2962356 110849 2846974 122334 2732307 1033105 2618399 143117 2505295 15232 0900 2949870 118716 2833107 1 3110 2717072 142173 26018 10 153665 2487366 163740 0950 2937011 126531 2818865 139830 2701460 152388 2584841 164161 2469051 175105 1000 2923675 134281 2804149 148484 2685377 1061933 25 67402 174585 2450267 186397
1100 2895075 149537 2772820 165529 2651340 180745 25306T9 195143 2410878 208680 1200 2862897 164390 2737991 10 82134 2613880 199083 24 90606 215195 U 6821g 230428 1middot300 2825511 1078747 2698147 198194 2571536 216828 24 45718 234608 32091 251493 1400 27 80917 192525 2651182 213611 25 22276 233868 23 94238 253257 2267110 271736 1500 2126237 205643 2594485 228294 24 63577 250102 2333551 271027 2204447 2 91030
Page 126
TABLE 14
THE VAPOR PRESSURE 0 HE3 - HE4 50LUTrON~
P (TORR)
~ 00001 00002 00005 0middot0010 00020 00030 00040 10010 00060 00080
110
0300 2102-006 4204_006 1051-001 2101-005 4200-005 6295-005 8386_005 1047-004 1251-004 1670-004 0320 0340 0360 0380
3962-006 6961_006 1153-005 1817-005
7923-006 1392_005 2304_00S 3630-005
198a-005 347 _005 5718_005 9068_005
3919-005 6952_005 1151-004 1812-004
7910-005 1389_004 2298004 3617_004
1185-004 2080_004 3442_004 5417_004
1H9_004 2770_004 4~82004 7209-004
1971-004 3457_004 I717-004 1I991-004
2362-004 4143_004 6849_004 1077-00l
3140-004 s505-004 9099-004 1 431-003
0400 2746-005 5482-005 1369-004 2734-004 5457-004 8170-004 1087-003 t 356-003 10624-003 2156-003 0420 4007-005 7988-005 1992-004 3978-004 7937-004 1188-003 1581-003 1972-003 2361-003 3middot134-003 0440 0460 0480
5680-005 7865-005 l070-0il4
1middotU9-OO4 1555-004 2098-004
2810-004 3860-004 5180-004
56g8-004 76 4-004 1031-003
10 119-003 1534-003 2053-003
1614-003 2294-003 3070-003
2227-003 3052-003 4082-003
2middot777-003 3805-003 5090-003
3325-003 4555-003 092-003
4413-003 044-003 082-003
0500 1437-004 2783-004 681 8-004 1353-003 2691-003 4022-003 5347-003 6665-003 7976-003 1058-002 0520 0540 0560 0580
1916-0Q4 2550-004 3403_004 4569_004
3645_004 4734_004 6120_004 7903_004
8829_004 1128_003 1426_003 1789_003
1745-003 2217_003 2781-003 3451-003
3463_003 4386_003 5479_003 6761-003
5173-003 6545_003 8163_003 1005-002
687middot_003 8I9Z_003 1083_002 1333_002
8566-003 1083_002 149_002 1659-002
1025_002 1295_002 1613_002 1983-002
1359-002 1717_002 lU7-002 2 626-002
0600 6182-004 toZ2-003 2233-003 4247-003 8258-003 1225-002 122-002 2016-002 2409-002 3188-002 0620 0640
8434-004 1159-003
1328-003 1733-003
2779-003 3454-003
51 92-003 63U-003
9998-003 1202-002
1478-002 1769-002
1953-002 2333-002
2middot42middot002 J 1I94002
2897-002 3451-002
830-002 4558-002
0660 0680
1599-003 2211-003
2274-003 2middot998-003
4297-003 5356-003
7662-003 9277-003
1436-002 1709-002
2103-002 2485-002
2765-002 3258-002
3425-002 4026-002
4080-002 4789-002
5380-002 305-002
0700 304-003 3964-003 6691-003 1123-002 2026-002 2924-002 31117-002 4705-002 5588-002 1340-002 0720 0740 0760 0780
4205-003 5759middot003 7832-003 1057_002
5250-003 6951003 9183_003 t209_002
8381003 1052-002 1323_002 1665_002
1359-002 1646-002 1997-002 2425-002
2396_002 2829-002 3337_002 3936_002
3427-002 4005-002 4671_002 5439_002
4452_011 2 51 74_002 5996_002 6934_002
5472-002 6331-002 7315-002 8420-002
6486-002 7494-002 8626_002 9898_002
8 497-002 188-002 1 123- 00110 283-001
0800 143-002 1584-002 2096-002 2947-002 4642-002 6328-002 8004-002 9671-002 1133-001 1462-001 0820 0840 0860 0880
1813-002 2459-002 3199-002 4125-002
2063-002 2671-002 3434-002 4383-002
2U5-0OZ 3306-002 4136-002 5157-002
3585-002 4361-002 5304-002 6443-002
5477-002 6 463-00ii 7629-002 9005-002
7358-002 8553-002 9941-002 1middot155-001
9228-002 10063-001 1224-001 1409-001
1109-001 1270-001 1453-001 1661-001
1294-001 1 475-001 1680-001 1 911-001
1661-001 1883-001 2middotUI-001 2 4011-001
0900 I271-002 5554_002 6404-002 7816-002 1063-001 1343-001 1121_001 189-001 2172-001 2118-001 0920 0940 0960 0980
6677-002 8390-002 1046-001 1294_001
6988_002 8729middot002 1083_001 10334_001
7917-002 9742-002 1193-001 1453_001
9462-002 1143-001 1376-001 1652-001
1254-001 1478-001 1741-001 2047-001
1560-001 1812-001 2103-001 2440_001
186middot-001 21 4-001 2464-001 2831-001
216middot001 2474-001 2823-001 3220-001
2468-001 2802-001 3180-001 3607-001
3065-001 3 453-001 887-001 4374-001
1000 19-001 1632-001 1761-001 1976-001 2403-001 228-001 3251-001 2671-001 4089-001 4 919-001 1050 1100
2579-001 4028-001
2631-001 4089-001
2786-001 4273-001
3044-001 4578-001
3557-001 5186-001
4067-001 5790-001
4575-001 6392-011
5080-001 6990-001
5583-001 7585-001
579-001 8 166-001
1150 10200
6081-001 8907-001
6153-001 8990-001
6367-001 9U-001
6724-001 9650-001
7435-001 1047middot000
8142-001 1129middot000
8845-001 1210middot000
9545-001 10 291000
1024middot000 1312middot000
1162middot000 1 532000
1300 1768middot000 1779000 1811middot000 1865000 1971middot000 2077middot000 213000 2288middot000 2393middot000 2601000 1400 1500
3220+000 5468+000
3234middot000 5485000
3274middot000 5534+000
3341000 5616+000
3475+000 5779000
3608+000 5942000
3741+000 610middot000
3813+000 6265middot000
4005middot000 6 426000
4266middot000 47000
Page 127
TAeL[ 14 (CONTtNU[OI
p ITORRI
00100 o0150 00200 00250 00300 00350 00400 004S0 00500 00550 ~
110
0300 2082-004 3100-004 4096-004 5069-004 6015-004 6933-004 182Z-004 11681-004 9510-004 1031-003 0320 3913-004 5819_004 1682-004 9499-004 1126-003 1298-003 1463_003 1624-003 1718-003 1921-003 0340 6858_004 1019_003 1344_003 1661_003 1969_003 2261_003 2556 003 183S-003 3104_003 363-003 0360 1133-003 1682_003 2218_003 21~9-003 3245_003 3136_003 4211_003 4669_003 5112_003 5538-003 0380 1181_003 2643_003 3483_003 4299_003 5093_003 5861_003 6605_003 1324_003 A017_003 e 68S_001
0400 2684-003 3980-003 5243-003 6471-003 1662-003 8811-003 9935_003 1101-002 1206-002 )306-002 0420 3900-003 S180-003 761Z-003 9392-003 1112-002 1279-002 144Z-002 598-1)02 1150-00Z ]895-002 0440 5490-003 8135-003 1071-002 1321-002 1564-002 1199-002 2021-002 2247-002 260-002 2 666-002 0460 1518-003 10114-002 1466-002 1808-002 2140-002 2462-001 27H-002 3015-002 3367-002 648-002 0480 1005-002 1489-002 1959-0OZ 2416-002 2859-002 3289-001 3706-002 4109-002 4499-002 4875-002
0500 1315-002 1948_002 2562-00Z 3160-002 3739-002 4302-002 4141_002 50314-002 5885-002 6378-002 0520 1690-002 2501-002 3289_002 4056-002 4800-002 5522-002 6222_002 tIe99-002 7555-002 8189-002 0540 2134_002 3158_002 4153_00 2 51Z0-002 6059_002 6970_002 185middot_002 8710-002 9538_002 1 034-001 0560 2656-002 3928_002 5165_002 6367-002 1535-002 8668-002 9767_002 1083-001 1186-001 lch-OOI 0580 3261-002 4821_002 6338-002 1812-002 9245_002 1063-001 11 98_001 1329-001 1456_001 1 519-001
0600 3958-002 5847_002 7685-002 9471-002 1121-001 1289-001 1 53-001 1611-001 1765-001 )914-001 0620 4152-002 7016-002 9217-002 1136-001 1344-001 1546-001 1142-001 1931-001 2117-001 ZZ96-001 0640 5653-002 8middot331-002 1095-001 1349-001 1595-001 1835-001 2068-001 2294-001 2513-001 2 726-001 0660 66o6-002 98Z1-002 1289-001 1587-001 1871-001 2159-001 2433-001 2~99001 2 957-001 3 208-001 0680 7803-002 1148-001 1505-001 1853-001 2191-001 2~20-001 2114(-001 3150-001 3451-001 3144-001
0700 9073-002 1332_001 1146-001 21 48-001 2539-001 2920-001 3290-001 3649 001 3998-001 4337-001 0720 1049-001 1537_001 2011-001 2473-001 2923-001 3360-001 3785_001 41 99-001 4600-001 990-001 074 0 1206_001 1762_001 2304-001 2831-001 3344_001 3843_001 4328_001 4800-001 5259-001 5 705-001 0760 1380-001 2011-001 2625_001 3223-001 3805-001 4371-001 492Z-001 5451-001 5979-001 6 86-001 0780 1573-001 2284_001 2977_001 3651-001 4307_001 4946_001 51368_001 61 73 001 6762-001 7335-001
0800 1787-001 2585-001 3362-001 4111-001 4855-001 5572-001 6270-001 tI 950-00l 7612-001 8 255-001 0820 2024-001 2914-001 3782-001 46Z6-001 5449-001 6250-001 7030-001 7190-001 8530-001 9Z50-00l 0840 2286-001 3276-001 4240-001 51 78-0111 6093-001 6 984-001 7852-001 86911-001 9521-001 1032-000 0860 2577-001 ]612-001 4139-001 5178-001 6790-001 7717-001 8739-00 9~16-001 1059-000 1middot148-000 0880 2900-001 4107-001 528Z-001 64C8-001 7545-001 8633-001 9694-001 1073-000 1114-000 1 272000
0900 3258-001 4583-001 5874-001 71 33-001 8360-001 9556 001 1012000 186000 12970000 1405000 0920 3656-001 5105_001 651 9-001 1896-001 9240-001 1055000 118l000 1307middot000 1 4290000 1 547000 0940 4097-001 5619_001 7220-001 8123_001 1019000 116200(1 130Z000 14311000 1570000 1100000 0960 4588 001 308_001 7984_001 9619-001 11210000 1217000 1429000 1571000 1122000 ]863000 0980 5133-001 6998_001 881 6-001 10590000 1232000 14010000 11566000 727middot000 1884-000 2 037000
1000 5739-001 7155-001 9721-001 1164000 1351000 1534000 1112000 1887middot000 2051middot000 2 223000 1050 1566-001 9990-001 1235middot000 1466middot000 1692000 1912000 2121000 2middot33middot000 2543middot000 2143000 1100 9935-001 1281000 1561+000 1835middot000 2103000 2365-000 2620000 2810middot000 3115000 3354-000 1150 1299-000 1635middot000 19640000 228Smiddot000 2599middot000 2906middot000 3206000 3500middot000 3787middot000 4 068000 1200 1690middot000 2079000 Z460middot000 2832000 3196000 3552middot000 3900000 4242-000 4576middot000 4 902000
1300 2801 000 331 4000 3810middot800 4295000 47nmiddot00O 5237middot000 5o93middot000 6140000 6578middot000 1008000 1400 4526middot000 5165000 5791000 6404-000 7006-000 7596middot000 8175000 8743middot000 9300000 9846000 1500 7064middot000 7848middot000 8618-000 9373middot000 1011middot001 1084001 11560001 1226middot001 1295middot001 1middot36Zmiddot001
Page 128
TABLE 14 ICONTINUED
P ITORR
00600 00640 00650 00700 00750 00800 00900 01000 01100 01200 ~ 00
0300 1107middot003 10166003 1181middot003 1251003 1318middot00l 1382-003 1tSOOmiddotOOl 606middot00l 1700middot003 1 183-003 0320 2069003 211900l 2206003 2337middot003 2 46200l 2582_00l 2804_003 3003003 3182003 33l9003 0340 3611003 3803_00l 3850003 4079003 4298_003 4507003 4896_003 5241-003 556100l 1841-00l 0360 5948 003 6264003 6341003 6718003 7080_003 7425_003 8069003 8652003 917600 3 9 644003 0380 93~8_003 9824_003 9946_00 3 1054002 1111-002 1165_002 1267002 1359-002 1442_002 i 517-002
0400 1403-002 10418-002 1496-00Z 1586002 1 1171-002 1153-002 1907002 2047002 2 174-00Z 2 288-002 0420 2036-002 215middot002 2171-002 2301-002 2426middot002 2546-002 2770middot002 l975-002 3161-002 329-002 0440 2864-002 301 7002 3054-002 323a-002 3414-002 3583002 3901-002 41 9Z-002 457middot002 bullbull696-002 0460 3920-002 4130middot002 4181-002 4433-002 4675-002 4908-002 5346-002 5747-002 6114middot00Z amp447-002 0middot480 52~8-002 5520-002 5589-002 5926-002 6251-002 6564-002 71 52-002 769]-002 8189-00c 8 640-002
0500 6854middot002 7223middot002 731 4-002 7757-002 8183-002 8594-002 9369_002 OOA-OOI 1074-001 1 134-001 0520 8802002 9277002 9393-002 9964-002 1051-001 1104_001 1205-001 1297-001 1382-001 1460-001 0540 10 112middot001 J 172-001 1186-001 1259-001 1328-001 1396-001 1523middot001 ~640-001 1749001 1848- 001 0560 13113-001 458_001 1bullbull76001 1566-001 1654_001 1738_001 1891_001 044001 2180-001 2306-001 0580 1697-001 J 790-001 1812-001 1923-001 2031-001 2134-001 2331-0b1 2513-001 2682-001 2837-001
0600 20-8-001 21 70-001 2198-001 2333-001 2464-001 2590-001 2829_001 3052-001 3258-001 ]449-001 0620 2469-001 2604-001 2637-001 2799-001 2 956-001 3108-001 3397_001 3666-001 3915-001 4147-001 0640 29~2-00l 3092-001 3132-001 3325-001 3512-001 3693-001 4038-001 4359-001 4658-001 4 935-001 0660 3451-001 640-001 3686-001 3914-001 4135-001 4349-001 4756-001 5137-001 5491-001 5821-001 0680 4028-001 4249-001 4303-001 4570-001 4829-001 5079-001 51556-001 600]-001 6419-001 6 807-001
0700 4666-001 4923-001 bullbull 986-001 5295-001 5596-001 5887-001 6442-001 6962-001 7448-001 901-001 0720 5369-001 5664_001 5737-001 6094-001 6440-001 6776-001 741 1001 8018-001 8581-001 9 106-001 0740 6139_001 6476_001 6560-001 6968-001 7365-001 7750_001 8485_001 ~175-001 9822-001 1043 bull000 0760 6979_001 7363_001 7457_001 7922-001 8374_001 8812_001 9650_001 1044000 1118000 101870000 0780 7892-001 8326_001 8433_001 8959-001 9471_001 9967_001 10920000 101 810000 12650000 13440000
0800 88A2-001 9310-001 9491-001 10080000 10660000 11220000 12290 000 13300000 14250000 15140 000 0820 9951-001 10500000 10630000 11 300000 1194000 12570000 13770000 14900000 15970000 1697middot000 0840 10 11 00000 1171 0000 1186middot000 12600000 13320000 14020000 15360000 16630000 17820000 18950000 0860 1234middot000 13020000 13190000 1401middot000 14810000 15580000 17080000 1middota49deg000 19820000 2100000 0880 1030000 14420000 1461 0000 1551 0000 16400000 17260000 1891+000 2040000 21950000 23340000
0900 11510 0000 5930000 16130000 17130000 18100000 19050000 20870 000 2600000 24230000 25770000 0920 16630000 J753middot000 17760 000 1885middot000 1 9920000 20960000 22970000 24810000 26660000 28360000 0940 18260000 19250000 19490000 20690000 21870000 23010000 25200000 272~0000 29250000 31120000 0960 2001+000 21080000 21350000 22660000 23940000 25180000 2 bull 580000 29850000 32010000 3~OoOOO 0980 21870000 2304 0000 2333 0000 24750000 2614 0000 27490000 30U000 32A o OOO 3~9000 31170000
1000 2385000 2512+000 25430000 2698000 2848 0000 2990000 3279000 548000 38040000 40470000 1050 29390000 3093000 31310000 33180000 35010000 36790000 40230000 43510000 46630000 4 9590000 1100 31)87000 3771 0000 38160000 40390000 42510000 4471 0000 488~0000 52750000 I6500000 60070000 1150 43430000 45590000 4612000 4850000 51330000 53840000 5871 0000 336deg000 6780 0000 72040000 1200 5222000 54140000 55360000 58~2deg000 61420000 6436middot000 1005000 75490000 80690000 85660000
1300 74t90000 77600000 7842+000 8246000 86420000 90310000 97840000 10l1deg001 11200001 11860001 1~00 10380001 10800001 10910001 11 420001 11930001 12430001 13390001 14320001 15210001 16070001 1500 14~90001 1481001 1494001 1580001 16210001 16830001 1804 0001 9200001 2031+001 21390001
Page 129
tOO+8pound tOO+6ZtE tOO+Z61t 1000StOpound lOO+SSSZ lOO+tOZ toO+6ZS2 100middott2 100middotZEZ lUOZYZZ 005 I 10000pound9i tOO+6poundSZ tOOmiddotti tOOpoundIpoundZ 100SLlZ tOOotSOZ toO9t6 1 100middotS1 1009 ( 1006891 00 1 100096 1OO+6St 1000Jnt toOSZ I 1000tZ91 tOOSZSol 1000Z1 10069pound1 100Upound lOOoOSZt OOtI
1000Z 100pound1 100Wtpound1 1000poundSZt 1001111 100Ottl 100poundpound01 000Z6deg6 000pound66 000006 OOZI 100pound611 100SSt1 1006011 toOSSOt 000+poundZ66 000pound6 OOOSOS OOOoIlStS 000Z66 0000SU9 OStl OOOopoundHO 0006096 000+0Z6 000096S 0000S2S OOOotos 00099Z 000+S69 000699 000+9pound9 OOtt 000 at 000Z06deg OOOoWoy OOOmiddotziZ 000middotOU9 00009 000000 00019S OOOSOSS OUOot1ZS OSOt 00064]deg 000019 000_01l14 000+6611S 000+pound9SS 000-6ZS 00006S 000+00 00006 OOOoLZ OOOt
000-pound09 OOOOLliS 00099 00060 S OOOoOts OOOolllS 00006 000091pound OOOmiddotUt 000SZ6pound 01160 OOO-LOSS 000-19poundS OOoyt 000-L6 000-04 0001 h OOO-Stt 000-poundS6pound 000-19E ouO-S6Spound 0960 OOomiddotttoS OOOmiddotZSs OOOoLt OOOozt 0000Z9Z OOOoZO 0006Spound 000119pound OOOmiddotSs~ 000s8Zpound 0iJ060 00095 0000poundpound 00009I1Z OOO-lOl OOOIILIipound 000 0999degpound OOO+npound 00006Zpound OOO+hl Ii 000-966Z 0260 000_ tt1 0000 ltO OOO_ZSIIpound OOO-slLpound OOO-Uipound ooooapoundpound 000_1101pound 000-1I116Z 000-6SSZ OOO-zeZ 0060
OOO-poundOipound 000-19pound OOO-poundOSpound 000-5poundpound 000-6Llpound 000-600pound OOOopoundlSZ OOOoOZ 00006SS2 OOOoSZ 09S0 OOO-Zpoundpound OOOoOSZpound OOOoO~Ipound OOOopoundZOpound 000-9SZ OOO-ZtLZ OOOLpoundSZ OOO-OZ 00009poundpoundZ OOOSZZZ 09S0 000_U6Z 000middot1I06Z OOOotZioZ OOO-oUZ OOOmiddotOLSZ OOO-SpoundZ 00006lZZ 000-Z61Z OOOOOPZ OOO+OOOZ oeo 000_S9Z 000middott6SZ 0009tSZ 000061Z OOOhzZ OOO-UtZ 00006pound0Z 000-Z96t OOOOSS[ OOOotOL1 OZSO OOOopoundpoundZ 00001l6ZZ OOOopoundZZ OUOolstz OOOoZOZ 0000Spound61 OOOUSl 00006L1 000+9L9 000L6t OOSO
000-S90Z OOOoLZOZ OOOoELfIt 000degto6t 000-80St OOOmiddotLtL 0000019t 000-lSS OOOdegLa ( OOOmiddotst1 OSLO OOOottSt OOO-OSLl 0000poundL1 OOOmiddotZLIj 000Z6St 0000pound14]1 OOOmiddotlZl 000S9pound1 OOO-ZIpound OOOzszt 09L0 OOO-SLS1 OOO-poundSSl OOO-SHiL 000-pound91 000middot6pound 1 00009Zpound1 000-9Z1 00010Z1 OOO+ZSI 000-6601 hLO OOO-Lpound OOO-Lpoundl OOO+SIpound1 OOO-ZLZl OOOmiddotIZt 0009St1 000-9801 OOOmiddotLOl OOOSOO 100-90S6 OUO 0009Llt 00000911 OOOoSpound1 1 0000S601 000601 00000001 100-116 tOO-LLO6 100-18 100-poundZpoundS OOLO
000_00 100-SI66 tOO-middotlLo 100-16 100-LOO6 100-pound6SS 100-60S 100-0111L lOO-ZOSL tOO-SlItL OS90 tOO-EOS 100-Z11I tOO_lSZ 100-S00S 100-tL9L tOO-LZpoundL 100-S009 100-6999 100-60 100-9Z19 0990 100_11pound1 100-pound0 100_e69 100-ESL9 100-1lL9 100-619 lOO-9SS 100-L9S 100-6Z tOO_Z61S 09 0 too-Spound~S 100-16SS tOO-S6Le l OO-lIjS 100-0ZS t OO-S~il1degS 100-Z06 100-LtLdeg tOO-LSS 100-01pound OZ9deg0 tOO-poundS9 tOO-SSllo 100-middotSL 100-9 100-8S 100-tOpound tOO-690 100-t6pound 100-9f1L( 100-S~9pound 0090
100-1L6pound tOO-5S6t 100-06pound 100-poundlSpound 100-iL9pound tOO-LlSpound 100-0tOpound 100-IpoundZmiddotpound tOO-ztt ~ 100-OiltgtZ Oaso 100-681pound 100-Z91degpound 100-9t li toO-LOpound lOO-ZL6Z 100-9SSZ tOO-aOLoZ 100-t29Z tOO-zSZ 100-1oZ 0950 100-ZSi 100-ZSZ too-Los 100-tOZ tOO-tLtOZ 100-lI1ZZ 100-991degZ 100-8602 tOO-poundZOZ tOO-O~middott OirSO 100-L96deg 1 100-U61 tOO-LS6 1 too-~Z~o 1 100-Z9S1 tOO-6Lol lOO-90tt 100-S91 100-S6So 100-1(S1 OZSO [OO-OSl 100-E1Sol 100-iOi L [OO-n t 100-8pounddeg1 100-88poundt tOO-Zzpoundt toO-Z8Zmiddot1 100-UZt tOO-Silll OOSO
100-tEtdegl tOO-6pound1 t 100-11pound 1ot tOo-Oinot 100-0601 100-ESO1 tOO-SOool ZOO-tSL6 ZOO-6U6 ZOO-OiO6 OQOZOO-60ti 200-IIpoundoS ZOO-ZapoundoS ZOO-eeZs ZOo-zsOs ZOO-SZSL ZOO-SLL ZOO-09ZL ZOO-610 ZOO-S9 090 ZOO-poundS6degmiddot ZOO-ZOmiddot9 ZOO-iltOq ZOO-SS6S ZOO-OSSS ZOO-gOs ZOO-6lS lOO-eLlS 200-90tS ZOO-poundt6deg 00 ZOO-Imiddotmiddot ZOO-tOZ ZOO-Opounde ilOO-OZ ZOO-OZ1 ZOO-poundOO ZOO-LpoundSpound ZOO-Ettt lOO-SI9 ZOO-Owpound OZO ZOO-96LZ ZOO-SZ ZOO-OLez ZOO-098degZ ZOO-UsoZ ZOO-LHZ ZOO-Sl9Z ZOO-65SZ ZOO-OSoZ ZOO-Otltz 00deg0
ZOO-US1 ZOO-SSol ZOO-LiIl ZOO-USl ZOO-osst ZOO-SOSI ZOO-9poundL t ~00-tf9I ZOO_Z901 ZOO-poundilS1 OaEO ZOO-ltl ZOO-6S11 ZOO-LL I L ZOO-OSIl ZOO-L9tt ZOO-1lmiddot 1 zOO-OOldegl ZOO-(LO1 ZOO-ZtOO ZOO-90001 09pound0 EOO-pound69 EOO-6I1S9 poundOO-OZOL pound00-90L pound00-1I00
0 L EOO-US9 pound00-09 poundOO-n EOO-I0t pound00-110 0pounddeg0
pound00-poundpound1 pound00-6SSpound EOO-~~r (00-066pound EOO-ZL6t pound00-06pound EOO-leLpound poundOO-L69E pound00-96S( poundOO-Upound OlpoundoO pound00-16 pound00-9102 poundOO-ZLO~ EOO-[OZ poundOO-Z01Z tOO-ZLOZ EOO-110Z pound00-6961 pound00-Lt6deg1 pound00-S58I OOEO
000pound0 OSLZO OOSZO IISZZoU OOOzmiddotO OOelO 00910 OOSlO 0010 00pound10 ~
U1~Ol1 cI
(QiON1INO) t i1BYI
TABLE 15
THE HE3 CONCENTRATION TN THE VAPOR ABOVE HE3 - HE4 SOLUTIONS
XV
00001 0On02 00005 00010 00020 00030 0004 0 0005 0 00060 00080
C1()
0300 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0320 0340
09999 09998
10000 09999
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000ioooo
10000 10000
0360 09995 09997 09999 09999 10000 10000 10000 10000 10000 10000 0380 099 87 0 9993 09997 1)9999 09999 10000 10000 100 00 10000 10000
0400 09970 09985 09994 09997 09998 09999 09999 09999 09999 10000 0420 0440
0middot993g 098 79
09969 09lt139
09998 099 76
09994 u9988
0middot9997 0middot9994
09998 09996
09998 09997
09999 0999 7
09999 0 9998
09999 09998
0460 09711 09881 09955 09977 09989 09992 09994 09995 0 9996 09997 0middot480 0 96 20 0 9A O 09921 0 9960 0 9980 09987 0 999 0 0 9992 09993 0 9995
0500 09377 09678 098l-1i1 09934 09967 09978 09983 09986 09989 09991 0520 0540
09032 08570
09491 09230
09790 09677
098q4 09835
09946 09917
09964 09944
09973 0995
09978 09966
09982 09972
09986 09979
0560 07988 0 8881 0 9 520 09753 09875 09916 0 9936 09949 0995 7 09968 05ac 07300 08439 09310 09642 09817 09877 099 07 0992_ 09937 09953
0600 06538 07906 09041 09496 09740 09825 09868 09A93 09911 09932 0620 )0640 0middot160 0middot680
0middot5744 04961 0middot4225 03561
0729 06631 05940 05251
08708 0 8310 0 7851 07342
u9308 0 9075 08795 08 465
0middot9641 0 9 514 0middot9357 0 9 167
09757 09(69 09560 09427
0981 0 9 149 0966(1 09563
09amp52 09798 09730 09646
09876 0 98 30 0 9773 0 9702
09906 0 987 1 09828 09714
0700 02981 04593 06796 118090 08942 09267 094 3 0 9544 0961 6 09708 0720 0740
02486 02071
03982 03431
06230 05661
07675 07227
08681 08386
09078 08860
09290 091111
0 9423 0928 0
09513 09391
09628 09534
0760 01727 02944 051(4 067lt5 08060 08614 089 21 09115 09250 09424 0780 01443 02522 04572 06272 07705 08340 086911l 08928 n9088 09297
oeoo 01210 02159 04075 05787 07327 08040 08451 0 871e 0middot8906 09153 0820 0840 0860
0101 9 00863 00 734
01850 01588 01367
036 18 03205 028 34
05311 1)4851 04414
06933 06528 06120
07718 0737 07024
08181 0 7892 07585
0S4iT 08236 07966
08704 08482 0 8243
0899 1 08812 08616
0880 00627 0118 0 0Z506 04005 057 14 06662 07264 0768 1 07986 08404
0900 00539 0loe3 02216 03626 05317 06295 116934 073113 0 77 16 08177 0920 0 940
00466 0040 4
00890 00777
01 962 01 7 39
03278 029 61
0middot4932 0middot4564
05930 05570
06597 06259
0 7 075 0676 1
0 7434 07143
07937 0768 6
0 960 0980
00353 00309
0068 1 00600
01545 01375
02675 0241fgt
04 216 03888
05218 04878
()592~ 05590
06444 06127
0 6846 06546
07425 07157
1000 00272 005311 01227 021 A5 03582 04553 05266 05813 06245 06884 1050 1100 1150
0020~ 00154 00119
00396 00303 00236
009 34 00723 00570
)1708 I1348 VI077
0291 4 02373 01943
0J811 03179 02653
0450~ 038 2Q
03247
05057 04365 03751
05501 0 48 13 041A4
06196 05523 04889
1200 00095 001 88 00456 00811 01601 02222 02156 032l0 03627 04308
1300 00063 00124 003 05 00592 01117 01586 020011 02386 002730 03332 1400 0middot0044 00087 00215 00421 00808 01164 01 493 01198 0 02081 02591 1middot500 0middot0032 001164 001lt9 00312 0-0606 000881 01140 0138 15 0161 6 02042
Page 131
TABLE 15 (CONTINUED)
XV
~ 001()0 00150 00200 00250 00300 00350 00400 00450 00500 00550
(I()
0300 10000 10000 10000 looon 10000 10000 1000n 1000n ]0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0360 10000 10000 10000 10000 10000 10000 10000 10UOO 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 100UO 10000 10000
0400 10000 10000 10000 10000 100000 10000 10000 10000 0000 10000 0middot420 0440
0middot9999 0middot9991i
10000 09999
10000 09999
10000 119999
10000 10000
10000 10000
10000 10000
10000 10000
]0000 10000
10000 10000
0460 09998 0999A 09999 09999 0middot9999 09999 09999 09999 09999 09999 04 0 09996 09997 09998 1)9998 0middot9998 09999 0 9999 09999 0 9999 09999
0500 09993 09995 09996 09997 09997 09998 0999A 09999 09998 09998 0520 0540 0560 0580
09981i 09983 09974 09962
09992 09988 09982 09974
09994 09991 09986 09980
09995 09993 09989 09984
09996 09994 09991 09986
09996 09995 09992 09988
09997 0999i 09993 09989
09997 09996 0999] 09990
09997 0999t) 09994 09991
09998 09996 09994 09992
0600 09945 09963 09972 09977 09980 09983 099811) 09986 0 9987 09988 0620 0640 060 06f1O
09924 0middot9896 0middot9861 0middot9817
0994 09929 099015 0987c
09961 0 9946 09928 09905
09968 09956 09941 09923
0middot9973 0 9963 0middot9950 0middot9934
09976 09968 09957 09943
09979 0 9971 09961 09949
09981 09Jfh 09965 09954
0middot9912 0 9976 09968 09958
09984 09978 09971 09961
0700 09763 09839 09877 09900 09915 09926 09934 0994 1 09946 09950 0720 0740 070 0780
09699 09622 09531 09427
09794 09741 09679 09606
09843 09802 09754 09698
09872 119839 09800 09754
09892 09864 09830 09791
09906 09881 09852 09819
0991 09895 09869 09839
09924 09905 0 9882 09855
09931 0991 3 09892 09868
09936 09920 09901 09878
081)0 09308 0 9522 09633 09701 09746 09779 09804 09823 09839 09852 08~0 09173 09427 09559 09640 09695 09734 09764 09787 09806 09821 0840 0middot9023 09319 09475 09571 0 9636 09683 0 9719 0976 09769 O97S7 0860 08f1O
08857 08676
0 9200 09068
09381 09277
09494 09408
0 9570 0middot9496
09625 09561
0 9667 09610
0 9700 0961t9
09726 0 9679
09748 09704
0900 0920 0940
08lt81 08273 08053
08924 0876R 08600
09163 090)8 08903
09312 09208 09095
09415 0 9325 09227
09489 09411 09325
0954 0947 09399
09590 09521094amp
09626 09568 09501t
09656 09602 095lt3
0960 09AO
07822 07582
0842t 08234
08758 08603
08973 08842
09122 09008
09231 09130
09315 09224
09J81 0 9299
094)5 09359
09479 09409
1000 07335 08037 081t40 08702 0R886 09022 09127 09210 09278 09334 1050 1middot100 1middot150
06699 06059 Q5438
07513 06960 06398
07998 0751 9 0701 7
08321 07899 01449
0middot8550 0middot8175 0middot7768
08722 08384 08013
0885 08548 08207
0896) 08680 08365
0 9050 0middot8788 0middot8496
09U3 08879 08605
1200 04855 05845 06508 06983 0middot7341 07619 0784) 08025 08178 08307
1300 03840 0481Fl 05522 06052 06466 06798 07070 07298 07491 07656 1400 1500
0)038 02425
03944 0323
04636 03884
05192 04416
05623 04859
05987 05234
06292 0555
06552 05835
06776 06080
06971 06295
Page 132
TABLE 15 (CONTI NUEO)
XV
00600 00~41) 00650 00700 00750 00800 00900 01000 011 00 01200~ 00
0300 10000 10000 10000 10000 10000 10000 10000 1000 0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 03~0 10000 10000 10000 10000 10000 10000 10000 10g00 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000
0420 10 0000 1000t) 10000 10000 100000 10000 10000 10000 1middot0000 10000 0420 1middot0000 10000 10000 10000 10000 10000 10000 10000 0000 10000 0440 1middot0000 10000 10000 10000 1middot0000 10000 10000 10lOO middot0000 10000 04~0 0middot9999 10000 10000 10000 10000 10000 10000 10UOO 1middot0000 10000 0480 0middot9999 09999 09999 09999 0 9999 09999 09999 09999 0 9999 09999
0500 09999 09999 09999 09999 09999 09999 09999 09999 09999 09999 0520 09998 09998 09998 U9998 09998 09998 O999~ 09998 09998 09999 0540 09996 09997 09997 09997 09997 09997 09997 09998 09998 09998 0560 09995 0999~ 09995 09995 09996 09996 09996 09991 099970999 0580 09992 09993 09993 09993 09994 09994 09994 09995 09995 09995
0600 09989 09990 09990 09990 09991 09991 09992 09992 0middot9993 09993 0620 0middot9985 09986 09986 09987 09987 09988 09989 09990 09990 09991 0middot640 09979 0 9981 0middot9981 09982 0middot9983 09984 09985 0998~ 0 9987 09988 0middot660 09973 09974 09974 09976 09971 09978 09980 09981 0middot9983 09984 0middot680 09964 09966 09966 09968 0middot9970 09971 09914 09976 0middot9977 09979
0700 09954 09956 09957 09959 09961 09963 09966 09969 09971 09972 0720 09941 09944 09945 09948 0middotQ951 09953 09951 09960 09963 09965 0740 09926 09930 09930 09935 09938 09941 09946 09950 09954 09956 0760 09908 09913 09914 09919 09923 09927 099]3 0 9939 0993 09946 0780 09887 09893 09894 09900 09906 09911 09918 0 9925 09930 0993
0800 09862 09870 09871 09879 09886 09891 09901 09909 0991 5 09920 0820 09834 0984] 09845 09854 0middot9862 09869 09881 09890 0middot9898 09904 0840 09802 09813 0 98 15 9826 0middot9836 09844 09858 09870 09879 09886 0860 0middot9766 09779 09781 09795 0middot9806 09816 0 9833 09A 0middot98S7 09866 0880 0middot9726 09740 09744 09759 0middot9773 09784 098 04 094120 0middot9833 09843
0900 09681 09698 09702 09720 0973 09749 09772 09790 09805 09818 0920 09631 09650 09655 09676 09694 09710 09737 09758 0middot9775 09790 0940 09576 09s99 0960 09628 09649 09667 09698 09722 09742 09759 0960 09516 09542 09548 09575 09599 09620 0965S 09083 09706 09725 09~0 09451 09481 09487 09518 09545 09569 09609 0 964 1 09667 09689
1000 09381 09414 09422 09457 09487 09514 09558 09594 0middot962 09649 1middot050 0middot9184 09227 09237 09282 0middot9322 09357 09416 0940 0middot9503 09536 1middot100 0middot8956 09010 0middot9022 09080 0 9 130 09175 09250 0931+ 0 9362 0middot9404 1middot10 08699 08765 08780 08851 089 13 08968 09061 091 3 0middot9200 09253 1middot200 0841 8 08496 0851 4 08598 0middot8672 08738 08850 08942 0 9011 09083
1300 07800 07901 07925 08036 08135 08224 08375 0 850 1 08607 08697 1410 07143 07266 07295 074)0 Q7551 07661 07851 080 10 0middot8144 08261 1500 06481 06626 06659 06813 06953 07081 07304 07492 07655 07795
Page 133
68880 Tl880 lZL8deg0 1980 S880 19pound80 l1ZS0 alSO L20S0 S16L0 OUS1 OpoundUO OL060 deg006middot0 L1680 9188deg0 8lL80 66S8n 8aSS0 OsSO 19pound8deg0 00[ 6pound6deg0 50pound60 SZ60 pound616deg0 81160 060 556S00 Z0680 a88deg0 LUoo OOE
Spound560 60amp60 H60 ~E6deg0 08pound60 6Zpound60 LIi~60 6ZZ60 L816deg0 6pound160 OUZl 02960 L6560 69i60 iE56deg0 66deg0 pound560 Zh6deg0 ZLpound6deg0 8poundE60 86260 05tot 696deg0 9L960 CQ60 _296deg0 _656deg0 pound956deg0 poundZ56deg0 6660 ZL6deg0 060 OUt 0
85L60 5L600 8L60 80L6middot0 8960 6596deg0 82960 6deg96middot0 88560 956middot0 OOt 1860 OS60 l6L60 LLL6middot0 65L60 HoL60 8U60 OL6middot0 8896middot0 OL960 000
pound96middot0 Sa86middot0 1860 Z086middot0 98L6middot0 69L6deg0 6tL6deg0 LpoundL6deg0 tU6middot0 LOL60 086middot0 Z586middot0 86 0 -pound1260 2860 Ot96middot0 96L6middot0 8LL6middot0 89L60 9SL60 ZL6deg0 0160 69860 Z9860 551160 860 poundpound86
00 12960 S0960 96L6deg0 98L60 ELL60 060
S8860 6L8600 ZL860 9860 5860 pound860 OE860 22860 pound1860 Z0860 OZ60 66860 6860 68860 Z8860 poundL8b0 986middot0 Z586middot0 5860 8pound86deg0 6286middot0 006middot0
2166middot0 80660 E066middot0 L696middot0 0686deg0 Z886deg0 poundLe6deg0 L986deg0 09860 2586 0 0 088middotU Z66deg0 12660 LU6deg0 Z166middot0 506600 6686deg0 16860 98S60 0896deg0 L86deg0 098deg0 5pound66deg0 Zpound6600 6266deg0 266deg0 61660 166deg0 L066deg0 pound0660 ij6860 pound6860 0 08deg0 bullbull66deg0 2660 6pound66deg0 11pound660 2pound6b0 Ll660 22660 81660 t660 01660 0~90
pound5660 15660 6660 66middot0 pound66middot0 6pound660 pound66deg0 2pound66deg0 ~2660 5266middot0 0080
09660 6i660 L5660 i566deg0 25660 6660 9660 pound660 166deg0 9pound660 OtiLO L9660 99660 59660 pound9660 19660 8566deg0 55660 415660 (566middot0 6660 OJILO poundL660 2L660 0 U660 ~L660 89660 99660 9660 29660 (966deg0 65660 OtLO 9L660 L~66O LL66deg0 L660 L660 EL660 U66n OL660 89660 L9660 OZLO 2866deg0 2866
0 0 18660 0866deg0 6L66deg0 8L660 U66deg0 9~660 itL66 deg 0 U660 oOLO
98660 96660 5866deg0 l966deg 0 866deg0 pound866 00 2866 00 1866deg0 1866deg0 0866 00 0~900
6966 00 6t1660 0 9866deg0 ~86600 L866deg0 LS660 98660 911660 58660 866deg0 Oli9middot0 16660 166600 166bull0 16660 06660 066600 68660 68660 6S660 98660 090 pound6660 pound6660 pound6660 pound666middot0 pound6660 pound6660 26660 Z6660 C666middot0 1666middot0 Ol9deg0 56660 5666deg 0 -6660 6660 5666middot0 56660 666degn 416660 6660 6660 OU9deg0
96660 96660 96660 11666middot0 111666deg0 96660 9666deg0 9666deg0 9666deg0 S666middot0 O~lO L666deg0 L6660 L 6deg0 L666deg0 ~666middot0 L6660 L6660 L6660 L666middot0 L6660 osmiddoto 86660 86660 96middot0 tl666deg0 11666middot0 96660 8666middot0 8666deg0 tl666middot0 86660 050 6666deg0 66660 6666deg0 00660 66660 6666deg0 6666deg0 66660 06b60 6666deg0 o~smiddoto
6666deg0 6666deg0 66660 0666 0 66660 66660 6666deg0 66660 6666middot0 6666deg0 OOSmiddotO
66660 666600 001)01 0000deg1 6666middot0 6666middot0 6666deg0 0666middot0 tgt66600 OlJmiddotO ggggl 0000deg1 0000middot1 oooOmiddott 0000deg1 deg t 0000 01 OOOOOt 0000deg1 OOUOmiddotl OUOOmiddotl 0deg0 OOOoot 000001 001001 00001 0000deg1 00001 011001 0000middot1 0000middot1 0bullbullmiddot0 00001 ()OOOt 4000deg1 ~ 0000deg1 00001 0200 oOOot 0000deg1 000 I OUOOot 01gt00middot1 00001 0000 01 000deg1 0000deg1 0000deg1 00000( 00001 0000deg1 OOuool 00001 00deg0
OOOOt 000001 OOOOt 0000( 00001 0000deg1 00001 0000deg1 0000middot1 0000deg1 OijpoundO 0000middot1 OOOooL 0000deg1 00001 0000middot1 00001 0000middot1 0000-1 uooomiddott 0000middot 01(0 00001 0000middot t 001)01 00001 0000middot1 0000middot1 00001 00001 ~ ouOOmiddotl 0pounddeg0 0000middot1 0000deg 00001 00001 OOOOOt 0000deg1 00001 OUOOl UOOOol 0000deg O~poundU OOOOt 00001 110001 0000deg1 00001 0000deg1 0000middot1 0000middot1 0000middot1 ~ OOEmiddotO
000pound00 OS~2middot0 OOiZoO OillO OOOZmiddotO 0081deg0 0091deg0 00510 0091deg0 00pounddeg0 ~
fll(
(Q3m~UNOgt 5( 318-1
00
3Table 16 The Enthalpy and Entr opy of He Along the Solubility Curve and the Heat Absorption Rate of the Dilution Refrigerator
T Xt H3 (Xt T) S3 (Xt T) H3 (Xt T) - H3deg(T) (TmTi)Q=O
(O~) 3(Jmo1e He )
3(JoK mole He ) 3
(Jmo1e He ) T=T m
0000 0064000 00 00 00
0001 0064000 9451 x 10-5 010716 8188 x 10 -5 0365
0002 0064002 3781 x 10 -4
02143 3277x10-4 0364
0004 0064007 1 513 x 10 -3 04286 1312x10-3 0361
0006 0064016 3404 x 10-3 06427 2954 x 10 -3 0359
0008 0064029 6050 x 10-3
08567 5254 x 10-3
0357
0010 0064045 9452x10-3 10705 8214x10-3 0355
0015 006410 002125 1604 001850 0349
0020 006418 003772 2134 003288 0345
0025 006429 005881 2660 005132 0339
0030 006443 008443 3182 007377 0334
0035 006459 011448 3697 010012 0329
0040 006480 014884 4206 013028 0325
0045 006503 01873 4705 01641 0320
0050 006530 02298 5195 02014 0316
0060 006596 03257 6141 02857 0306
0070 006680 04347 7032 03813 0298
0080 006784 05549 7867 04865 0289
0090 006906 06844 8643 05995 0281
010 007042 08213 9362 07186 0274
012 007361 11122 10643 09699 0262
014 007731 1 4190 11739 1 2328 0255
016 008157 1 736 12670 1502 0250
018 008628 2058 13468 1 774 0247
020 009144 2383 14154 2046 0245
025 010618 3195 1549 2718 0245
030 012363 3988 1643 3364 0252
035 014373 4749 1710 3975 0260
040 01665 5471 1759 4 541 0271
045 01918 6150 1796 5061 0283
050 02201 6732 1822 5478 0297
055 02527 7338 1839 5916 0311
060 02908 7810 1846 6216 0326
Page 135
TABLE 17
THE HE3 CONCENTRATION SPECIFIC HEAT AND ENTROPy AT CONSTANT ~4
T III m
0000 DEGREES T m
0010 DEGREES Tm 0020 DEGREES
T X Cfgt4 53 X Cfgt4 53 X C~4 53 (K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K)
0000 006400 00000 0001)0 0001 0064011 0107C 01072 0002 006399 02144 02143 1)003 006398 03217 03215 0004 006396 04290 04288
0006 006391 06443 0middot6434 0008 006383 0860 4 08583 0010 006374 10177 10737 006404 10745 10705 0012 006362 12964 12894 006393 12925 12856 0014 006349 15168 15058 006379 15122 15013
0016 1)06333 17391 17228 006364 17339 11171 0018 006316 19637 19406 006346 19578 19348 0020 006296 21907 21592 006326 21842 21528 006418 21645 21331 0025 006238 27104 211OD 006269 27621 27019 006360 27375 26779 0030 006169 33693 32677 006199 33593 32580 006290 3middot3294 32290
0035 006088 39888 38333 006118 39770 38219 006208 39418 37880 0040 005997 46282 44074 006026 46146 43943 006116 45742 43553 0045 005896 52846 49903 005925 52693 49755 006014 52240 49314 0050 005786 59564 55816 005815 59395 55651 005903 58895 55161 0060 005541 73202 67879 005575 73009 67681 005660 72435 67092
0070 005289 86727 80182 005316 86518 79953 1105399 85892 79272 0080 005022 99790 92623 005048 99571 92365 005128 98921 91598 0090 004755 112071 105096 004780 1l185S 104812 1104856 111205 103968 0100 004494 123295 117500 004518 123082 111193 004591 122446 116281 0120 004009 141442 141746 004031 141265 141403 004098 140840 140380
0140 003585 156269 164861 003605 162838 164491 003665 161448 163389 0160 003182 164656 187486 003200 165749 187085 1103259 165830 185794 0180 002908 175207 207065 002924 172729 206659 002974 172843 205449 0200 002654 181627 225819 002669 181539 225403 002714 161273 224163 0250 002155 192703 267752 002167 192629 267319 002204 192403 266030
0300 001806 197727 303369 001817 197703 302925 001848 197634 301600 0350 0400
0middot01551 001356
201378 203670
334078 361131
001560 001364
201326 203647
333632 360677
(101586001387
201166 203580
332303 359322
0450 001203 205341 385205 001210 205319 384749 001231 205265 383393 0500 001079 207311 406925 001085 207267 406466 001104 207124 405100
0550 000977 209525 426780 000982 209480 426317 1100999 209355 424935 0600 0650
000890 000815
211960 214933
445111 4621A8
000895 000819
211917 214842
444643 461716
000910 000834
211778 214654
443252 460311
0700 000749 218847 478254 000753 218781 477774 000766 218554 476354 0750 000690 224606 493538 000694 224507 493054 1gt00706 224094 491613
0800 000635 233202 508299 000639 233033 507806 000650 232577 506334 0850 000583 247028 522826 000587 24677tJ 522321 000597 246067 520817 0900 000531 268309 537531 000535 267920 537007 000545 266765 535449 0middot950 1000
000478 000421
297390 331787
552922 569838
000481 000424
301574 333057
552370 569242
100491 000433
299752 331382
550730 567414
1100 000283 704503 614275 000286 693165 613469 000294 676812 611083 1200 000098 1738501 714579 000100 1677101 710943 000108 Itgt1J305 705365 1300 000000 000000 000000 1400 000000 000000 000000 1500 000000 000000 000000
Page 136
TABLE 17 (CONTINUED)
T m
II 0050 DEGREES T m
bull 0100 DEGREES Tm a 0200 DEGREES
T X Clo4 53 X CIlo4 53 X Cf4 53 IK) (JMOLE-K) CJMOLE-K) (JMOLE-K) (JMOLE-K) (JMULE-K) CJMOLE-KI
0050 006530 55557 51950 000000 00000 00000 000000 00000 00000 0060 006270 68655 63235 000000 00000 00000 000000 0middot0000 00000
00 70 005989 81771 74805 000000 00000 00000 000000 0middot0000 00000 0080 0middot05696 94606 86566 000000 00000 00000 0middot00000 0middot0000 00000 0090 0100
005401 005113
106847 1181A5
98424 1100281
000000 007042
00000 107161
00600 93624
000000 UOOOOO
0middot0000 00000
00000 00000
0 120 004 571 137293 133640 006307 126129 114848 000000 000000 00000
0140 004092 156793 156114 005656 146070 135676 000000 00000 00000 0 160 Ol AO
003653 003327
163652 171204
177909 197439
005061 004604
155667 164952
156134 174878
000000 000000
0middot0000 0middot0000
00000 00000
0 2 00 003037 179369 215941 004201 173821 192764 009144 164768 141542 0 250 002467 190964 257442 003412 187054 233201 u07228 179647 180039
0 3 00 002068 197137 292804 002858 194075 267968 u05973 188660 213658 0 35 0 0 4 00
(l01H6 001553
200234 202994
n34fl 350331
002453 002145
198430 201291
298213 324896
U05086 U04425
194110 197611
243173 269326
)450 001378 205010 374367 001903 203481 348720 003914 200048 292741 0500 001236 206535 396039 001708 204712 370237 003507 201931 313911
0 550 001119 208399 415799 001548 206821 389813 003175 20middot3386 333225 0600 001020 210771 414025 001412 208861 407902 002898 204920 350978 n650 000935 213497 451000 001297 210600 424690 002664 20middot6195 367435 071)0 000861 216978 466944 001196 213002 440377 002461 20middot7636 382765 0 750 000794 22191H 482076 001106 216663 455190 1102285 210191 397161
0 8 00 000733 229486 496632 001025 222308 469343 002128 212345 410815 0amp50 000675 241307 510879 000950 230723 483062 001985 217372 423801 0900 000618 2596~7 525170 000878 243589 496597 001854 223342 436408 0950 000560 288207 539953 000806 263229 510274 001729 231609 448695 1000 000498 321825 555896 000131 289821 524529 001607 244603 460892
1100 000354 580966 595964 000565 305216 557481 001358 288125 486278 1200 000162 1230201 671211 000355 1001625 606464 001079 363583 515631 1 300 000000 000078 2840930 750865 000742 115849 556015 1400 000000 000000 000317 1501686 634901 1500 000000 000000 000000
TABLE 17 (CONTINUED)
T = 0300 DEGREES T 0400 DEGREES T OIOO DEGREES m m m X CJJ4 53 X Cf4 S3 X Cf4 S3
(Kl (JMOLE-K) (JMOLE-K) (JMOLE-K) CJMOLE-K) (JMOLE-K) CJMOLE-KI
0300 012363 197721 164293 0350 010046 198066 194823 0400 008543 1988(1 221262 016650 231794 175895 0450 007456 200199 244745 013616 216682 202286 0500 006625 201422 265893 011739 209547 224585 022010 284688 182210
0550 005964 2()2486 285136 010385 207183 244405 017706 241038 207168 0600 005423 203453 302792 009340 206270 262377 015343 221874 226966 0650 004973 21)4394 319111 008499 205979 278867 013675 215281 244396 0700 004589 205386 334292 007803 206054 294129 012391 212093 260209 0750 004258 206601 348500 007214 206428 308354 011354 2100432 274773
0800 003968 208229 361883 006707 207156 321697 010490 20middot9682 288323 0S50 003710 210496 374572 006263 208357 334289 009753 209631 301028 0900 003477 213783 386691 005868 middot210216 346247 009111 210241 313024 0950 003261 218696 398373 005512 213016 357683 008544 211636 324424 1000 003058 225569 409762 005184 217007 368707 008032 213912 335333
1100 002670 248215 432273 004583 230394 389969 007127 222135 356068 1200 002275 292769 455737 004014 255243 411031 006314 237633 376018 1300 001839 370332 482695 003432 299765 433198 005531 265004 396073 1400 001329 483665 518038 002796 384167 458542 004725 313845 417432 1500 000707 1466084 577753 002064 573025 491242 003846 405955 442029
Page 137 GPO 840middot 501
Table of Contents (continued) Page
Figure 3 The Fermi Temperature and Deviation of the Chemical
Potential from the Ideal Fermi-Dirac Value bullbullbullbullbullbull 12
Figure 4 The Difference in Chemical Potential Between the Conshy3
centrated Phase and Pure He bull 15 3
Figure 5 The Phase Separation Temperature as a Function of He
Concentration 0 bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 18 4
Figure 6 Schematic Diagram of the He 3 - He Dilution
Refrigerator bull bull bull bull bull bull bull bullbullbull 260 bull bull bull bull bull
3 4 Figure 7 The Entropy of He in Liquid He as a Function of
3 Temperature for Various He Concentrations bull 38
3 4 Figure 8 The Enthalpy of He in Liquid He as a Function of
3Temperature for Various He Concentrations bull bull 40
3 4Figure 9 The Osmotic Pressure of He in Liquid He as a Function
of Temperature for Various He 3 Concentrations bull 41 4
Figure 10 Behavior of the Excess He Chemical Potential as Deduced 4
from the Osmotic Pressure of He 3 in He 43 3 4
Figure 11 The Excess Enthalpy of He - He Solutions as a Function 3
of He Concentration for Various Temperatures 45 4
Figure 12 The Vapor Pressure of He 3 - He Solutions Divided by the 3 3
Vapor Pressure of Pure He as a Function of He Concentrashy
tion for Various Temperatures bullbullbull 46
Figure 13 The Deviation from the Ideal Differential Heat of Vaporishy3 4
zation of He - He Solutions bull bull bull 48 Figure l4a Plots of H (X p f T) H (T) and a(T T)~ = H (X T) - H (T)3 3 3 3 t 3
0
V
for Low Temperatures bull bull 49
Figure l4b Plots of H 3(X
t T) H
3(T) and OCT T)~3 for High
Tempe rature s bull bull bull 50
iv
Table of Contents (continued)
Page
Figure 15 The Ratio of Mixer Temperature to Inlet Temperature 2
for Zero Power Input and the Ratio OT as a Function 3 m
of He Concentration in the Circulated Gas 53 3 4
Figure 16 Enthalpy Inversion Curves for He - He Solutions 55
Figure 17 Concentration Profiles for Constant ~ bullbullbull 57 3 4
Figure 18 The Specific Heat of He at Constant ~4 as a Function
of Temperature for Various Mixer Temperatures 58
Figure 19 The Vapor Pressure ot the Liquid in the Still as a
Function of Still Temperature for Various Mixer
Temperatures- bullbullbullbullbullbullbullbullbullbull 59
Figure 20 The Heat of Vaporization and the Vapor Compositlon
(Neglecting Film Flow) for the Liquid in the Still bull bull 60
Figure 2la The Fraction of the Mixer Filled with Dilute Solution as
a Function of Mixer Temperature for the Case
v IV = O 5 bull bull 62 s mc
Figure 21 b The Fraction of the Mixer Filled with Dilute Solution
as a Function of Mixer Temperature for the Case
V IV = 1 bullbullbullbullbullbullbullbullbullbullbullbull 63 s mc
Figure 2lc The Fraction of the Mixer Filled wlth Dilute Solution
as a Function of Mixer Temperature for the Case
V IV = 2 bull 64 s mc
Figure 22a Comparison of Theory and Experiment for the Transient
Behavlor of the Single-Cycle Dilution Refrigerator bullbull 68 3
Figure 22b The Fractional Amount of Pure He Remaining in the
Mixer as a Function of Mixer Temperature 70
Figure 23 A Plot of the Term -(0 01T)(dS3dX)T and the Heat 3
Absorption Rate for the He Extraction Refrigerator 72
v
bull bull bull
Table 1
Table 2
Table 3
Table 4
Table 5
Table 6
Table 7
Table 8
Table 9
Table 10
Table II
Table 12
Table 13
Table 14
Table 15
Table of Contents (continued)
Page
List of Tables 3
Some Temperature Independent Propertles of He 4
in Super fluid He bull bull bull bull bull bull bull bull bull bull bull bull bull bull 9
The Phase Separation Temperature or Solubility 3 4
Curve for Dilute Solutions of He - He bullbullbull 0 bull bull bull 19
Some Physical Constants and Basic Properties of 3 4
Pure He and He Used in this Work bullbullbullbullbullbullbullbullbullbull 84 3
Thermodynamic Properties 01 Pure Liquid He
Below 10 5degK 85 4
Thermodynamic Properties of Pure Liquid He
Below I 5degK bull bull bull 86
The Solubility Curve for Concentrated Solutions of 3 4
He - He 0 bull 0 0 bull bull bull bull bull bull bull 0 bull bull bull 88
The Entropy of He3
in He4
and Its Rate of Change with
Respect to Concentration at Constant Temperature bull bull 90 3
The Chemical Potential of He middot43
in He When the He
Behaves as an Ideal Fermi Dirac Gasmiddot 97 3 4
The Enthalpy of He in He bull bull 101 3 4
The Osmotic Pressure of He in He and the expression
-[ 1l (X T)-1l O(T=O)] bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 1054 4
3 4The Specific Heat of the Total He - He Solution 112
3 4The Entropy of the Total He - He Solution bull bull bull bull lIb
3 The Enthalpy and Excess Enthalpy of the Total He shy
4 He Solutlon 120
3 4The Vapor Pressure of He - He Solutions bull 127 334
The He Concentration in the Vapor Above He - He
Solutions 0 bull bull bull bull bull bull bull 0 bull 0 0 bull bull bull 0 bull bull bull bull 131
vi
Table ot Contents (continued)
Table 16 3
The Enthalpy and Entropy 01 He Along the Solubility
Page
Curve and the Heat Abs orption Rate of the Dilution
Refrigerator 135
Table 17 3
The He Concentration Specific Heat and Entropy at
Constant 11 4
136
vii
ABSTRACT
3 4The thermodynamic properties of liquid He - He solutions beshy
tween 0 and L 5degK are calculated by using the weakly interacting Fermishy3
Dirac gas model for He in He4 Certain experimental data below about
O 4 0 K are used to evaluate s orne of the parameter s in the model The 3 4
properties of both He in He and the total solution are calculated for 3
concentrations of He up to 30 percent All experimental data agree
very well with the calculated results although little data exist below
04degK The calculated properties are used to analyze the behavior of 3 4
the He - He dilution refrigerator in both the continuous and singleshy
cycle processes The maximum heat absorption below about 004degK is 3
found to be 82 T2 joules per mole of He circulated The effect of an 4
imperfect heat exchanger and He circulation on the refrigeration
capacity is discussed An analysis of two new types of single-cycle
processes is also given
Key Words Cryogenics dilution refrigerator enthalpy entropy
Fermi-Dirac gas helium-3 helium-4 liquid mixtures
osmotic pressure quantum fluid specific heat thermoshy
dynamic properties
viii
THERMODYNAMIC PROPERTIES OF HE3 - HE4 SOLUTIONS WITH APPLICATIONS TO THE HE3- HE4
DILUTION REFRIGERATOR
Ray Radebaugh
1 bull Introduction
Early in 1966 Hall et al [1] and Neganovet al [2] independently
succeeded in achieving continuous refrigeration below O 1 0 K using a 3 4
He - He dilution refrigerator Such a refrigerator was first proposed
by London Clarke and Mendoza [ 3] Previously such temperatures
could be reached only by adiabatic demagnetization of a paramagnetic
salt although the process is not a continuous one Since the dilution
refrigerator has certain advantages over adiabatic demagnetization
researchers are rapidly turning their attention to this new technique
Several new dilution refrigerators have been built since early 1966 with
many others in the construction or planning stage Improvements are
constantly being made to these refrigerators and as a result the lowest
temperatures reached with them have steadily been reduced Vilches
and Wheatley have just recently reached O 012 OK in continuous operation
[4] and O 0045degK in transient operation [5] It should be possible to
reach even lower temperatures with this technique but further design reshy3
finements are hampered by a lack of data on the properties of the He shy4
He solutions used in the refrigerator
The purpose of this paper is to present a complete and consistent 3 4
set of data for the thermodynamic properties of liquid He - He solutions
for the temperature range 0 - 1 5 degK Such information is needed to
analyze the performance of dilution refrigerators and to help optimize
their design These data of course are also necessary to predict the 3 4
behavior of any other process which involves He - He solutions at these
temperatures Nothing will be said of the transport properties of the
solutions which are also urgently needed for the optimum design of
dilution refrigerator s
Most of the properties to be discussed in this paper have been
measured experimentally but unfortunately very few of the measureshy
ments have been done below O 5degK An excellent list of the experimenshy
tally determined properties has already been given [ 6] To this list
should be added the recent specific heat measurements of Edwards et al
[7] down to about O 1 oK and of Anderson et al [8] down to about O 004degK
The solubility curve has now been measured extensively down to about
O 02degK [9] The specific heat measurements however are not extensive
enough to permit a deduction of various thermodynamic properties as
functions of temperature and concentration down to OOK without recourse
to some theoretical model In this paper it will be shown that the thermoshy
dynamic properties of a weakly interacting Fermi-Dirac gas are in very 3 4
good agreement with all existing experimental data on He - He solutions
for temperatures below 1 50 K provided that values of certain parameters
of the model are determined from experiments Application of these
thermodynamic properties will then be made to describe the behavior of 3 4
He - He dilution refrigerators The Fermi-Dirac gas model has been
applied previously [ 4 5 10] to the analysis of the dilution refrigerator but
not to the extent of this paper In addition the previous analyses did not 3
take into account interactions between the He atoms in solutionwhich is
important for many of the properties
2 Selection of a Theoretical Model
3 4Experiments have shown that He is not miscible in He for all
3 4concentrations and temperatures The phase diagram of He - He
2
solutions shown in figure 1 indicates that for teITlperatures less than
about O 86 OK certain interITlediate concentrations are not perITlitted 3
Instead the solution separates into a concentrated He phase floating on 3
top of the heavier dilute solution At OaK it is possible to dissolve He
in He 4
up to a concentration of (64 plusmn O 1) percent [ 9] Thus at very low
teITlperatures the only concern is with dilute solutions and essentially 3
pure He Only dilute solutions will be considered here since a satisshy
factory theoretical ITlode1 has not been found for concentrated solutions
i e for concentrations greater than about 20 to 30 percent The propshy3
erties of pure He can of course be deduced directly froITl experiITlenta1
results SOITle of which extend down to the ITlillidegree region
Landau and POITleranchuk[14] were the first to propose a theoreti shy3 4
cal ITlode1 for the behavior of dilute He - He solutions According to
this theory the excitation spectruITl of the liquid is ITlodified by the addition
of noninteracting FerITli quasipartic1es equal in nUITlber to the nUITlber of 3
He atOITls The analysis was liITlited however to the nondegenerate
(high teITlperature) range where the quasipartic1es can be treated as an 3
ideal gas and thus would contribute an aITlount 32 R per ITlo1e of He
to the specific heat of the solution For teITlperatures sOITlewhat less 4
than 1 0 K the specific heat of He becoITles extreITle1y sITlall so the specifshy3
ic heat for T lt 1 deg K is due solely to the He contribution For teITlperashy
tures of about O 5degK and for concentrations less than 15 percent the
prediction of a 32 R contribution to the specific heat has been borne out
by ITleasureITlents of Edwards et al [7] Results of de Bruyn Ouboter
et al [11] above 04degK however appear to be in good agreeITlent only 3 4
in the liITlit of zero concentration This ideal gas ITlodel of He - He
solutions has been used in the past to analyze the behavior of the dilution
refriger ator [ 1 2 6 15]
3
15
~middot10
o
Ishy
~
05 o
A
Lin
e
o -
de B
ruyn
Ou
bo
ter
et
01
(J
-E
dw
ard
s e
t 01
amp
-B
rew
er
an
d K
eys
ton
PH
AS
E
SE
PA
RA
TIO
N
RE
GIO
N
04
06
08
10
02
x
3 4
Fig
ure
1
P
hase
Dia
gra
m o
f H
eH
e S
olu
tio
ns
T
he d
ata
po
ints
are
fro
m s
ev
era
l au
tho
rs
l 71
1
l2J
an
d t
he d
eta
iled
beh
av
ior
at
the in
ters
ecti
on
of
the
A a
nd
ph
ase
sep
ara
tio
n
lin
es
is f
rom
th
e w
ork
of
Gra
f et
al
L
13
]
For temperatures approaching OOK the 32 R term must disappear
according to the third law of therrrlodynamics Measurements l 7 8] show
that the specific heat begins to drop at about O 2 to O 5degK (depending on
concentration) and becomes proportional to T for much lower temperatures
Since the dilution refrigerator usually operates below 01 degK the ideal
gas model can not be relied upon to give a satisfactory explanation of the
behavior of a dilution refrigerator
Edwards et al [7] showed that their specific heat data were fit 3
very well at all temperatures by treating the He as a Fermi-Dirac gas 3
with an effective mass m~~ of 2 5 times the mass of a He atom
Anderson et aL [8] also found that the same model would fit their data
within experimental error but with the values 2 38 and 246 for mm3
in 1 32 percent and 5 02 percent solutions respectively The data of
Anderson et al extended well into the degenerate region of the Fermishy
Dirac gas where the specific heat is proportional to both mm and T3
Thus the Fermi-Dirac gas model shows excellent promise for predicting 3 3 4
the thermodynamic properties of He in liquid He - He solutions at all
temperatures
The variation of mm with concentration can be accounted for by3
3conSidering weak interactions between the He atoms Doing so however
does not change the specific heat from that of a noninteracting Fermishy
Dirac gas with the same mm [ 16] It will be shown that the behavior3
of the solubility curve also requires that interactions be introduced 3 4
Thus in this note the thermodynamic properties of He - He solutions
are derived from the weakly interacting Fermi-Dirac gas model
3 Computational Methods
3 43 1 Properties of He in Liquid He
The behavior of the interparticle interaction and its effects must
be evaluated before calculations of thermodynamic properties can be
5
made Bardeen Baym and Pines [17] (BBP) assumed the interaction 3
between two He atoms separated by a distance r is spin velocity and
concentration independent and weak Their interaction is written in
terms of the Fourier transform V(k) by
J V(r ) = V (i~) e i kmiddot r dk (1)
3(21T)
where k is the wave vector For an isotropic systemV(k) = V(k) The
effective mass m~ is then given as [ 17]
m = 1 +1 F S = 1 _ N(O) J2kf V(k) k (1 _ L) dk (2) m 2 23 1 2k 0 2 k o
f f
where m is the value of m at zero concentration o
2 2 (3)N(O) = m k 21T tlf
is the density of energy states at the Fermi surface for one spin orientashy
tion and k is the magnitude of the Fermi wave vector The dependencef
of k on concentration is shown by the relationf
2 2k = (31T n3)13 = (31T NAv)13 (4)f
3where n3 is the number density of He atoms in solution NA is
Avogadros number and v is the volume of solution containing one mole 3
of He The expression
233 v=V X=2758X+760+165X cm moleHe (5)
m
3where V is the molar volume of the solution and X is the He concenshy
m
tration will be used throughout these calculations Equation (5) agrees
6
with experimental data [ 9 18] to within O 3 percent for concentrations
less than X = O 3 and all temperatures less than 1 5degK The value 3 4
27 58 cm mole is the molar volume of pure He between 0 and 1 5degK
To calculate m from (2) knowledge of V(k) is necessary The
simple two-parameter form used by BBP to fit spin-diffusion results
[8] is given by
V(k) = V cos (13k) (6)o
o 2 -38 3with 13 = 316 A and V0 = -00754 m s n = -1 303 x 10 ergs cm
4 44
where m 4 is the mass of the He atom s is the velocity of first sound in 4 4
He at T = 0 and n 4 is the number density of pure He at T O Ebner
[19] recently extended these calculations for V (k) to higher concentrations
and used the form
(7)
where V is the same as that used by BBP and the other parameters are o
C = 40752 C = 00564 (8 ) 2 3
The form of V(k) given in (6) is limited to concentrations less than 5 pershy
cent whereas the form in (7) is valid for concentrations even higher than
30 percent Ebner states however that V(k) in (7) may contain some
10 --15 percent error Both forms for V(k) were used in (2) to solve for
mm assuming mom3 = 234 as suggested by BBP Figure 2 shows3
the calculated concentration dependence of mm compared with four3
experimental points from specific heat data Both curves give good agreeshy
ment with experiment but since Ebners form of V(k) is valid for higher
concentrations mm obtained by using his form of V(k) will be adopted3
here These values of mm are also listed in Table 1 along with k3 f
and the Fermi temperature T f given by
7
23~--_
____
____
____
_~__
____
____
____
__L
__
__
__
__
__
__
__
_~
__
__
__
__
__
__
__
__~
__
__
__
__
__
__
__~
o 0
05
010
0
15
02
0
025
x
3
4 3
Fig
ure
2
Eff
ecti
ve M
ass
Rati
o o
f H
e in
He
as
a F
un
cti
on
of
He
Co
ncen
trati
on
TABLE 1
SOME TEMPERATURE INDEPENDENT PROPERTIES OF HE3 IN SUPERFLUID HE4
X 10-7 kf
-1(em )
T f (OK)
11=
m 1m3
-(1l3 + L 3 deg)R
(OK)
00000 000000 0000000 234000 0258728 00001 040136 0005535 234046 0258841 0middot0002 050567 00087B4 234092 0258956 0middot0005 068628 0016171 234225 0259310 00010 086462 0025643 234442 0259920
00020 108926 0040627 234857 0261201 0middot0030 124677 0053137 235253 0262544 00040 137213 0064255 235633 0263940 0middot0050 147794 0074432 236000 0265382 00060 157041 0083910 236355 0266865
0U080 172814 0101322 237033 0269938 0middot0100 186124 0117214 237674 0273139 0middot0150 212961 0152510 239145 0281601 0middot0200 234287 0183572 240462 0290600 0middot0250 252263 0211771 241656 0300U32
00300 267947 0237848 242748 0309825 0middotU350 281946 0262265 243753 031 99 26 0middot0400 294645 0285332 244684 0330293 00450 306304 0307272 245550 0340892 00500 317109 0328251 246359 0351698
00550 327197 0348395 247117 0362685 0middot0600 336673 0367807 247830 0373837 0middot0640 343870 0382864 248371 0382864 0middot0650 345620 0386567 248502 0385135 0middot0700 354104 0404742 249138 0396565
00750 362178 0422388 249742 0408115 0U8 OO 369887 0439551 250315 041 9775 00900 384352 0472586 251381 0443382 01000 397732 0504107 252357 0467321 01100 410202 0534310 253255 0491539
0-1200 421894 0563353 254088 0515992 01300 432914 0591359 254864 0540643 01400 443344 0618430 255592 0565461 01500 453252 0644651 256278 0590420 01600 462694 0670092 256927 0615498
01800 480362 0718869 258133 066t934 02000 496644 0765151 259239 0716639 02250 515379 0819942 260512 0780246 02500 532610 0871743 261690 0843959 02750 548575 0920896 262796 0907654
03000 563456 0967674 263844 0971234 03500 590503 1054946 265810 1097725 04000 614589 1134915 267648 1222900 04500 636280 1208563 269392 1346348 05000 655978 1276633 271062 1467729
Page 9
2 2 23T h k 2 K m 54 890(v m~~m) oK
f f 3 (9)
where K is Boltzmann I s constant
Stoner [20] has evaluated the specific heat C of a Fermi-Dirac v
gas for all temperatures as a function of the ratio TITr Since he gives
only tabulated results for the intermediate temperature range a power
series expression was fit to his data to facilitate calculations of thermoshy
dynamic properties The details of this power series fit are given in 3 4
Appendix A The specific heat and entropy of dilute He - He solutions
can now be calculated as functions of temperature and concentration
However to proceed with calculations of enthalpy chemical
potential osmotic pressure and other related properties the deviation 3
of the chemical potential of He in solution from that of an ideal Fermishy
Dirac gas must be found There will be a considerable deviation because 3
of the presence of a binding energy and the interaction between He atoms 3
The chemical potential of He in solution can be written as
1 (X T) 1 (X T) + 1 1 (X T)3 f 3 (10)
where 1 is the chemical potential of the ideal Fermi-Dirac gas with effecshyf
tive mass m and is given by T
J H - TS 53 U - TS R T + 53 Jr C dTf f f f f f v
o
T - T J (CvT) dT (11 )
o
In this equation H Sf and U are the molar enthalpy entropy andf f
internal ener gy of the ideal Fermi-Dirac gas and R is the gas constant
Since C has been expressed as a power series in T the integrations v
can be easily carried out with the aid of a computer
10
3
The term 1 13 can be evaluated from the expe rimental data for the
dilute solubility curve and then compared with theoretical re sults for 1 1 bull
The experimental values of 13 are found by making use of the fact that 3
in a phase separated solution the chemical potential of He must be the
same in both the dilute and concentrated phases If at first it is conshy3
sidered that the concentrated phase is pure He then
(12 )
where Xt denotes the concentration of the dilute phase on the solubility
curve
rT T 1 deg = - L3 deg + J C deg dT - T J (C degIT) dT
3 3 3 o 0 (13 )
3is the chemical potential of pure He and L3 deg is the molar heat of vaporshy
lzahon 0 f He 3 OOKpure at T = bull The quantity 1 deg + L3 deg is calculated3
3using values for the properties of pure He given in Appendix B The
term 1X T) in (12) is evaluated using (11) at each data point [79]t
for the solubility curve By combining (12) and (13)values for 13 (X T)t
+ L3 deg can be determined The results of such calculations are shown in
figure 3 Also in figure 3 are shown curves for T f from (9) and a theoretshy
ical result for 113 + L3 deg which will be discussed shortly From (11) (12)
and (13) it is obvious that (-11 3 - L3 deg)R = T f for T = 0 0 K and the conshy3 4
centration at which this occurs is the limiting solubility of He in He at
T = OOK
The theoretical behavior of 1 using V(k) has been discussed by3
BBP and Ebner However bull their definition of 13 is slightly different than
that used here The difference is that they use the effective mass m inshyo
stead of m in evaluating I1 in (l0) The theoretical expression given byf
BBP for their 1-13 r at T = OOK is
11
08
1
06
o ~ 0
4
I-
N
02
o
TH
IS
WO
RK
0CD
l G
I
LO
o -P
3 -
3
R
0-
Ifff
e
f 01
EX
PE
RIM
EN
TA
L
a _
Ed
wa
rds
tit
01
I L
0-P
3-
3
R
005
0
10
015
0
20
0
25
x F
igu
re 3
T
he
Ferm
i T
em
pera
ture
an
d D
ev
iati
on
of
the C
hem
ical
Po
ten
tial
fro
m t
he I
deal
Ferm
i -D
irac V
alu
e
2 NA J2kf 2 k =Eo + (N Iv) V(O) - -2 k (1 - 2k ) V(k) dk (14)A 41T 0 f
where E is the binding energy and is independent of concentration The o
second and third terms on the right side of (14) are the Hartree and exshy
change corrections to ~3 To be consistent with the theory of BBP and
Ebner the ~31 defined by (10) and used here should contain an additional
term equal to the difference between ~f evaluated at mo and m However
when this additional term is neglected the theoretical ~31 from (14) fits
experimental data very well even for temperatures up to O 6degK as will be
shown very shortly Inclusion of the additional term requires ~3 to be
temperature dependent to give agreement with experimental values at
finite temperatures This temperature dependence has been worked out
by Ebner only for the high and low temperature limits Since the primary
purpose of this paper is to find a model which can be used to fit experishy
mental data over a wide range of temperature and concentration the
additional term in (14) required by rigorous theory will not be considered
in this paper Equation (14) was evaluated numerically using Ebners
form of V(k) The quantity Eo + L3 deg is found from a best fit of the
theoretical ~3 + L3 deg to the data points in figure 3 Only the data for
X lt O 075 were considered for the fit since it will be shown that the data
at higher concentrations and temperatures require some correction
From this fit it is found that
(15)
and that
X t (T = O) = O 0640 (16)
13
J
is the limiting solubility of He3
in He4
at T = 0deg K fft et al t 9] report
a slightly different value of O 0637 for X t (T = O) from a T2 extrapolation
of their data The theoretical result for J t is given in Table 1 in addition3
to being shown in figure 3 Including the additional term in (14) would
yield the result O 282 degK for (1S) which agrees with the value given by
fft et al l 9] The uncertainty in V(k) however is such that the difshy
ference in the two results for (-Eo - L3 deg )R is inconsequential [19 21]
The discrepancy between experimental and theoretical values for
1 r at higher concentrations can be completely explained by correcting 1 03 3
4used in (12) to account for the presence of a small amount of He in the
concentrated phase This correction then changes the experimental values
tor J The term 1c which must be added to tl3 deg to give the chemical poshy3
tential of the concentrated phase was actually found by forcing the experishy
mental data for tl3 + L3 deg in figure 3 to agree with the theoretical result
shown in the same figure This correction term J is shown in figure 4 as c
a function of temperature For temperatures above O 4deg K this curve was
deduced from a smoothly drawn phase separation line bridging the gap beshy
tween the low and high temperature data shown in figure 1 Figure 4 comshy
pares this calculated behavior of 1 with two other results for J One of c c
these other results is based on the experimental work of de Bruyn Ouboter
et al lll] for the thermodynamic properties of concentrated solutions
down to about 04deg K The term 1 is calculated from their data by the c
relation IOGt)
- G t + (1 - X ) oX (17)1c - u X=X
u
where X is the concentration of the concentrated phase and G t is taken u
to be
G t = G -l X 1 deg + (1 - X) 1 0]3 4
= X (13 - 1 deg) + (1 - X) (14 - J deg) (18)3 4
14
I I
I I
I
08~------~------~------~-------r------~------~~~
CD-0 E
rn CD
1 0
-gt
0 =l I
--8-- de Bruyn Ouboter et 01
---0-- This Work
--- Regulor Solution Theory
06 I I
I I
I I
I
I fI
I I04
I I
I
I I
02
o 02 04 06
Figure 4 The Difference in Chemical 130tential Between the Conshycentrated Phase and Pure He bull
15
with G as the Gibbs free energy and -1 - -1 0 the difference in chemical4 4
potential between He4
in solution and pure He 4 The term (oGt joX)X=X u
is very difficult to evaluate from the experimental data but appears to
be fairly small For a first approximation that term is chosen to be zero
which then leaves -1 = G i A better approximation can be made Since c
the terms 1J and J must be the same in both the dilute and concentrated 3 4
phases the term oGtjoX must also be the same in both phases The
theoretical behavior of -1 - -1 0 and -1 - -1 (to be calculated later) in3 3 4 4
0
the dilute phase can be used to find oGtjoX This then results in a
negative value for oGi oX and makes -1 less than Gt The difference c
though is only significant above about O4degK but is still less than the
experimental uncertainty and so it is not shown in figure 4 The other
curve shown for comparison in this figure results from assuming that
the solutions behave as a regular solution This assumption should give
reasonable results in the concentrated phase at least for the higher temshy
peratures The details of the calculation for -1 from the regular solution c
theory are given in Appendix C where the concentration X as a function of u
temperature is listed in Table 6 It is evident from the curve shown in
figure 4 that the behavior of -1 which results in an exact agreement of c
experimental and theoretical -1 + L3 0 can be considered to be consistent3
with all other estimates of its behavior although possibly too high around
O 2 OK In other words the theoretical -1 I agrees with experimental data3
along the solubility curve within experimental error and no temperature
dependence of -1 f is necessary to give this agreement even for temperashy3
tures as high as O6degK Of course a small temperature dependence is
still possible in view of the fairly large uncertainty in -1c but -1 I is3
assumed to be independent of T in all of the present calculations In any
case a small temperature-dependent term would have very little effect on
most of the thermodynamic properties at all but the lowest temperatures
since -1 I contributes significantly to these properties only at low temperashy3
tures
16
By using the theoretical behavior of JI t and ~c (11) and (12) can3
be used to derive the theoretical phase separation teInperature as a
function of concentration This calculation is just the reverse of the
case where the experiInental 1-13 I was deduced froIn the experiInental
phase separation teInperature The results for the theoretical phase
separation teInperature are shown in figure 5 along with experiInental
values l 7 9] and are listed in Table 2 To sUInInarize the behavior of
the weakly interacting FerIni-Dirac gas Inodel using Ebners expression
for V(k) which was deduced froIn spin diffusion predicts an In(X)In3
in agreeInent with experiInent These values of In(X)In are used in3
the specific heat of a FerIni-Dirac gas which then correctly predicts 3 4
specific heat of He in He at all teInperatures In addition this Inodel
gives the correct concentration dependence of the phase separation
teInperature
The present definitions (10) and (13) for 1-13 and 1-13 deg result in large
negative values for these terInS at T = OOK due to the quantity L3 o In
addition any uncertainty associated with L3 deg appears in 1-13 and 1-1 0 The3
bull
absolute value of cheInical potential in any systeIn is arbitrary and it
Inakes nUInerical cOInputations siInpler if JI and JI are changed by a3 3
0
constant valu~ The terIns JI3
and JI deg are now redefined by adding L3 deg 3
to the right sides of (10) and (13) The new definitions then becoIne
JI3 (X T) =JI (X T) + JI3
I (X) + L3 deg (10)f
and
T
1-13 deg (T) = JT
C3deg dT - T J (C degT) dT3 o o
(13 )
17
04 bull
03
f- t shy
02
01
c
o 1fft et 01
EXPERIMENTAL C pounddttords et 01
O~~---L----~----~----~----~----~----~----~----~ O~ 008 010 012 014
X 3
Figure 5 The Phase Separation Temperature as a Function of He Concentration
18
Table 2
The Phase Separation Temperature or Solubility Curve for Dilute Solutions of He3 - He 4
X T X T (OK) (OK)
006400 00 0090 o 1946
006404 000946 0095 02129
00641 001486 010 O 2301
00642 00208 O 11 02616
00643 O 0253 O 12 02902
00645 00323 013 03166
00647 00377 014 03412
0065 00445 015 03644
0066 00606 016 03863
0067 00721 017 04072
0068 00817 018 04272
0070 00970 020 04647
0072 01102 0225 O 5075
0074 01223 025 05460
0078 O 1436 0275 O 5809
0082 01618 030 06097
0086 01789
19
where 1-1 t 3 is now shown as a function of X only The term 1-13 0 now beshy3
comes zero at T = 0 oK The entropy and enthalpy of He in He40 are
taken as
T [ _ S3(X T) = Sf (X T) = J C (X T)TJ dT (19)v
o
H (X T) =1-13 (X T) + TS (X T) = 1-13 (X) + L3deg + H (X T)3 3 f
T
= 1-113 (X) + L 3 0 +RTf + (53) J C v (X T) d T (20) o
3 4The osmotic pressure n of He in liquid He can be determined
from the relation
n V = - (1-1 - 1-1 0 ) (21)4 4 4
which follows from altering an equation given by London et al [3] In
(21) the term V =V -X oV lox = 27 58 - 3 30 X3 cm3mole is the4 m m
4partial molar volume of He in solution and is only slightly different than
4V 4 0 The right side of (21) is the difference in the He chemical potentialbull
4 4between He in solution and pure He and is easily evaluated from the
Gibbs-Duhem equation for constant temperature and pressure
dl-13 dl-14 (22)X - + (1 - X) - =0
dX dX
In integral form (22) becomes
XJ X (23)1-14 - 1-14 o -- - 1 _ X dl-13 o
20
which upon substitution into (20) yields
(24)
The integral is easily evaluated numerically since J is known as a3
function of X from (lot)
3 4 32 Properties of the Total He - He Solution
Up to now consideration has been given only to the thermodynamic 3 4properties of He in liquid He and not those of the total solution Howshy
3 ever in the case of the He - He
4 dilu~ion refrigerator operating in a 3
steady state the He contribution is all that is needed Ideally in this 3 4
refrigerator He diffuses through a stationary column of He so that the 4
He contribution is not needed for thermodynamic calculations For the
transient behavior of the dilution refrigerator or any other process where
the bulk liquid is involvedthe thermodynamic properties of the total
solution are needed The total specific heat and entropy are taken as [ 14]
(25)
(26)
where C 4 0 and S 4 0 are the specific heat and entropy of pure He4 Equashy
tions (25) and (26) are good approximations only for temperatures not too
close to the A point since the A point changes with concentration (see
fig 1) Below 1 0 K however C deg is very much smaller than C so the4 v
approximation is certainly good up to X = 03 for these temperatures At
1 5 D K the results for C from (25) begin to deviate considerably from
experiment [11] for X much above O 1
21
The enthalpy H (same as the internal energy U for the low temshy
peratures and pressures of interest here) can be calculated in three
different ways Unfortunately the results are not exactly the same in
each case The first method makes use of the relation
H = G + TS = X ~3 + (1 - X) ~4 + TS
= X H + (1 - X) (~ - ~ 0) + (1 - X) H 0 bull (27)3 4 4 4
To be consistent with (lOt) and (13 1)
rT H a = leo dT
3 J 3 (28) o
T H 0 = - L + L 0 +J C 0 dT (29 )
4 4 0
3 4 o
4where L 4 a is the heat of vaporization of pure He at 0 0 K The second
method uses
T H = Ho +J C dT (30)
o
0 0where H is the value of (27) at T = K The third method which is o
somewhat of a combination of the first two replaces H in (30) for o
X gt O 064 with the value of (27) on the phase separation curve instead of
at oaK The lower limit of the integral is also replaced by the phase
separation temperature The results obtained by this third method should
be a good compromise except for the fact that curves of H versus X for
constant T will have an abrupt change in slope at X = O 064 which would
be unrealistic The second method was chosen for these calculations
and will give the same results as the third method for X S 0064 Since
the theoretical behavior of C agrees so well with experimentthe resulting
22
values of H should be quite accurate at least for X s O 064 The second
method eliminates the abrupt change in slope at X = O 064but the result
for H above this concentration may not be quite so accurate The first
method suffers from the disadvantage that it relies entirely on the theoshy
retical behavior of ~3 and ~4 both of which are more uncertain than the
calculated C The difference in H caused by using the various methods
is only a few parts per thousand This difference is greatly magnified
however when the excess enthalpy
(31 )
is considered The first method can give values for HE which are 15 to
20 percent higher than the second method for large values of X This
difference is due mainly to a temperature dependence of -1 that is not 4
quite consistent with properties such as specific heat Possibly a small
temperature dependent term in ~3 I might correct this inconsistency
From (31) and (27) it is easy to see that at T = OOK HE is just (1 - X)
3 4The vapor pres sure of He - He solutions is found from a trial
and error solution of the equation
J
(32)
3where X is the He molar concentration in the vapor P3 deg is the vapor
3 pressur of pure He and the Bs are the second virial coefficients for
3 4 He and He from the work of Kilpatrick et al [22] Equation (32)
follows from a combination of expressions given by de Bruyn Ouboter
et al [23] A very good approximation for X at least for temperaturesv
23
above about O 5degK can be found from the theory of regular solutions In
this case [ 23]
X (1 - X) p 0 v
p 3 0 exp [ (W RT)(l- 2X)] (33 )
X (1 - X ) shyv 4
where p 0 = p deg exp (B p degRT) is the fugacity of the component i and W 1 1 11 1
is a constant taken to be WR = 1 37degK [24] The results of (33) for X v
are substituted into (32) to find p
The heat of vaporization of a binary solution can be treated as
either integral or differential depending on the conditions of vaporization
[ 25] When a quantity of liquid solution is completely vaporized so the
initial liquid concentration and final gas concentration are equal the
integral heat of vaporization is absorbed in the process This integral
heat of vaporization is ApX if the process is done at constant pressureand
A if done at constant temperature For the low pressures dealt withTX
here the gas phase can be treated as ideal and thus the enthalpy in both
the liquid and gas phase are independent of pressure The integral heats
of vaporization can then be written as
ApX + R(T - TI) = A =XL deg(T) + (I-X) L deg(T) - ~(X T)TX 3 4 (34)
where T is the final temperature in the constant pressure process and 3 4
L3 deg (T) and L deg(T) are the heats of vaporization of pure He and He at4
the temperature T The term -~ gives the deviation from the ideal
heat of vaporization and is just the negative of the excess enthalpy
If a mole of gas is formed from an infinite reservoir of liquidthe
heat absorbed is Avt the differential heat of vaporization In this proshy
cess the gas and liquid phase concentrations are different From the
work of Ruhemann [25]
24
E r E ( ) (X _ X) 0 H (X T) (35)+L-H X T - v oX J
The term in brackets gives the deviation from the ideal differential heat
of vaporization and will be denoted as AE vt
3 43 3 Applications to the He - He Dilution Refrigerator
A schematic diagram of the He3
- He4
dilution refrig~rator is 3
shown in figure 6 Nearly pure He gas leaves the vacuum pump at a 4
pressure of about 30 torr and passes through a pumped He bath which 3
condenses the He bull After passing through a flow limiting capillary the 3
liquid He is cooled by passing through the still and the heat exchanger 3
The pure He liquid enters the mixing chamber or mixer where it 3 4
floats on top of and is in equilibrium with a dilute solution of He in He bull 3
For very low temperatures the dilute solution contains 64 percent He bull
This 64 percent solution communicates with the solution in the still via
the return line in the heat exchanger For the solution in this return line to
be in mechanical equilibrium the chemical potential jJ4 must be the same
throughout the tube Since the te~perature of the still is higher than the
mixing chamber the concentration of the solution decreases as it apshy
proaches the still From results to be given later the concentration in
the still is about I percent for T 5 = o 6 0 K where T 5 is the still tempershy3
ature As this liquid vaporizes in the still nearly pure He is removed
from the solution provided of course superfluid film flow is greatly 3
restricted To complete the cycle the He gas is compressed to about
30 torr at room temperature and returned to the condenser As the conshy3
centration in the still is lowered He will diffuse from the 6 4 percent
solution in the mixing chamber through the heat exchanger to the still
25
He4
~J--~~
He4 -I He3
He3 VACUUM PUMP - 300 OK
CONDENSER 08 -12 OK
CAPILLARY
STILL 06-07 oK
HEAT EXCHANGER
MIXING CHAMBER
He4 shy QOI-QsoK 64 He3
He3
3 4Figure 6 SChematic Diagram of the He - He Dilution Refrigerator
26
3To preserve equilibrium in the mixing chamber He must pass from the
upper rich phase to the lower dilute phase to maintain a 64 percent conshy3
centration in the latter In so doing the He absorbs heat if the temperashy3
ture is kept constant As the He dIffuses through the nearly stationary 4 3
column of He in the heat exchanger it cools the incoming pure He
stream in the heat exchanger A thermodynamic analysis of the dilution 3 4
refrigerator in a steady state uses only the properties of the He in He 4
since the He is stationary in the ideal case
The heat absorption rate of the dilution refrigerator is of fundashy
mental importance to those interested in the capabilities First consider 3
the case where only pure He is circulated by the pump By treating the mixer as an open thermodynamic system this heat absorption rate Q in
the steady state at a temperature T can immediately be written as an
enthalpy difference
(36)
3where n 3 is the molar circulation rate of He the first term on the right
3 4is the enthalpy of He in He along the lower or dilute solubility curve
3and H3cT ) is the enthalpy of He in the incoming concentrated stream
i at temperature T When the mixer temperature is below about O 2 0 K
1 3
the concentrated phase is nearly pure He and so the incoming stream 3 c
must also be nearly pure He bull Thus H3 becomes equal to H deg Howshy3
ever at higher temperatures the concentrated phase in the mixer will 4 4
contain a certain amount of He It is possible for this He to diffuse up 3
the incoming He stream to cause some dilution above the mixer To
calculate the heat absorption in the mixer the concentration of the stream
just as it leaves the last heat exchanger must be known If the velocity of 3 4
the incoming He stream is high enough He will be prevented from
27
diffusing up as high as the heat exchanger E~pressed analytically the 3 bull
stream leaving the heat exchanger will be pure He for n3 LVmDA raquo 1
whereas for ~ 3 LVmDA laquo 1 the stream will have the same composition
as the concentrated phase in the mixer In this expression L is the
length of tubing from the last heat exchanger to the mixer V is the m
molar volume of the incoming stream D is the diffusion coefficient of 4 3
He in He and A is the cross-sectional area of the tube In practice
something between the two extremes most likely will occur The enthalpy
3 l H 4 h d I 1o f He 1n a so utlon conta 1n1ng some e 1S rat er uncerta1n an so 1tt e 4
can be said about the heat absorption in the extreme where the He easily
diffuses up to the heat exchanger However from the work of de Bruyn 3
Ouboter et ale [11] it looks as though the enthalpy of He in the incoming
stream at about O 6degK will be on the order of 10 percent higher than H3 o
The difference between H3 c and H3 deg decreases to zero at about O 2 deg K
Equation (36) should be very accurate when H3c can be taken as
H3 deg since H3 is known very well along the solubility curve Though in
principle H3 (X T) can be found from (20)an alternative method fort
temperatures of O 1 deg K and below has been chosen If the incoming pure 3
He stream is at the same temperature as the dilute solution then the
process is reversible The heat absorption is then given as
Qr(T)~3 == T[8 (X T) -8 deg(T)] (37)3 t 3
from which it follows that
H 3 (Xt T) == Qr(T)n 3 + H3deg(T) == T[ 8 (X T) -8 deg(T)] + H deg(T)
3 t 3 3
(38)
Values of H3 and 8 along the solubility curve are obtained by second3
order interpolation in tables of H3 and 8 as functions of X and T Howshy3
ever interpolation in the 8 table is much more precise than that of the3
28
H 3 table for temperature of O 1 oK and below This is because J r + L3 deg 3
and RTf in H3 are very large numbers which cancel each other exactly
at OOK on the solubility curve Their resulting contribution to H3 slightly
above OOK on the solubility curve is subject to considerable error unless
both terms are evaluated to a great number of places Thus H3 (X-t T)
is evaluated from (38) for temperatures of O 1 OK and below Above T
O lOK (53)I C dT is the dominating term in H3 and so H3 (Xf T) is V
oaccurately obtained by interpolation in the H3 table Values for H3 deg (T )
iare taken from Appendix B
4In the case where the gas circulated contains some He the calshy
culation of heat absorption can become very complex especially at temshy
peratures above about O 2 OK Since operation of the refrigerator above
this temperature is of limited interest analysis of the heat absorption at
these temperatures will not be made Below about 02 OK the amount of 3
pure He available for refrigeration is reduced to
(39)
where X t is the concentration of the dilute phase at the temperature T i 3
n is the number of moles of gas mixture circulated and X is the He conshy
centration in the circulated gas The dilute solution already separated
out at T will contain 1
( 1 - X)n 3t =nXt 1 - X (40)t
3 4moles of He bull Neglecting the very small He contribution the heat absorpshy
tion rate in the mixer per mole of gas m~ circulated can be written as
29
middot Q(TT) 1 r X - X t ) 1 - X J
o = X H3 (XtT) -L(l _ X H3deg (Ti)+X 1 _ X )H3 (X Ti )n t tA A
(41 )
where all the X t inside the brackets must be evaluated at T i
For low flow impedences in the dilute stream between the mixer
and stillthe solution will be in mechanical equilibrium throughout its length
This equilibrium condition is expressed by ~4 = constant and from (21 )this
implies that the osmotic pressure must be constant at least for low
temperatures where d~4 deg dT is extremely small and for low concentrashygt
tions where V 4 is nearly constant At higher temperatures (T O 5degK)rJ
the change of ~ 4 deg with temperature must be taken into account When
this is done the condition ~4 = constant then is equivalent to IT + p f =
constant for small X where IT is the osmotic pressure and P is thef
4fountain pressure of pure He defined and calculated from (80) in Appenshy
dix B For high concentrations the condition IT + p f = constant does not
hold exactly since V 4 in (21) changes slightly with concentration However
the difference in V 4 between X = 0 and X = O 3 is only O 3 percent Given
a temperature and concentration in the mixer the concentration anywhere
in the heat exchanger or still may be found from curves of the osmotic plus
fountain pressure or to be exact curves of ~4 In practice a small 3
gradient in the osmotic pres sure must exist to drive the He through the
heat exchanger and may not always be negligible The calculated conshy
centration in the still then represents an upper limit and the deviation
from this value can be found if the flow impedance of the heat exchanger
is knowno Fourth order interpolations can be carried out in a table of
~4 to find the concentration as a function of temperature Once the conshy3
centration in the heat exchanger is known the entropy of He anywhere
along it is easily found from fourth order interpolation in the S 3 table 3
The specific heat of the He at constant ~ designated as C is then 4 ~4
30
given as 08
1 3 ) (42)CjJ = T ~ aT
4 1-L4= const
The differentiation of S 3 is carried out after fitting the data for S 3 at
constant 114 with a third order polynominal in T It should be obvious
that C will be a function of the mixer temperature as well as the local ~4
temperature since the former determines the osmotic pres sure in the
system
The vapor pres sure and vapor concentration in the still as a
function of both still and mixer temperature can be easily found from
interpolation in the p and X tables using values of X in the still as detershyv
mined from the condition 114 = constant in the dilute stream The heat QS
required to vaporize a mole of liquid in the still has contributions from 3 4
both the He and the He vaporized Because of the large heat of vaporishy
zation of He4 this contribution which is given by (1 - Xv) L deg(T) can4
3 not be neglected The He contribution is Xv L (T) where L (T) is just
3 33
the difference between the enthalpy of He in the saturated vapor and in 3
the dilute liquid The He vapor enthalpy can be written as H3 deg (T)
+ L deg(T) From this it immediately follows that3
(43)
where
(44)
is the deviation from the ideal heat of vaporization and n is the gas flow rate
The interface between the dilute and concentrated solutions must
remain in the mixing chamber if the refrigerator is to operate properly
Thus it is important to examine just where this interface will be for all
31
possible sets of conditions The assumption is made at this point that
the liquid volumes in the heat exchanger and condenser are negligible
compared with the volume of both the still and mixing chamber The
volume of the still containing liquid immediately after the initial filling
and before circulation begins is written as
v = r V (45)s mc
where V is the total volume of liquid in the mixing chamber If the mc
whole system is filled initially with n moles of solution at a concentration
of X then the initial volume of liquid is o
o n V = V + V = V (1 + r) (46)
m mc s mc
where V 0 is the molar volume V of the solution from (5) for a con-m m
centration of X During operation of the refrigerator phase separationo
occurs in the mixer and h is the fraction of mixer volume occupied bym
the dilute solution The total volume of solution during operation will be
different than the initial volume which then results in a change in liquid
level in the still Let the ratio of present to initial volume of liquid in
the still be h Both hand h are found from a solution of the simultashys m s
neous equations
(1 - h ) V X Iv u + h V X p Iv t + h r V X Iv s = nX m mc u m m mc V m s mc s m 0
(47)
(1 - h ) V Iv u + h V Iv t + h r V Iv s = n m mc m m mc m s mc m
(48)
where the subscripts and superscripts u t and s on X and V refer to m
the concentration and molar volume in the upper concentrated phase of
the mixer in the lower dilute phase of the mixer and in the still The
32
3first equation represents the total number of moles of He in the system
and the second gives the total moles of solution Substituting (46) into
these two equations yields
rX (1 + r) X XXt Xu s o u ( - --) h + h =----shy (49)
s s o uV t V u m V V V m m m m m
h = (1 + r) 1 (50)
s s o u V V
m m
after rearranging The values used for X are given in Appendix C u
Problems associated with the heat exchanger can be eliminated by
operating the refrigerator in a single -cycle process In this case the heat 3
exchanger is unnecessary since pure He is not returned to the mixer
Vilches and Wheatley [5] have reached O 0045deg K with this method and 3
maintained it for about an hour before depleting the He bull The proce s s is
reversible and thus for isothermal operation the heat absorption is simply
given by (37) However for T gt 0 0 1 0 K the term S3 deg should be replaced by 3
the entropy per mole of He along the solubility curve for the concentrated
phase although the difference is significant only for temperatures above lt
about 02 or 03degK For T 001 OK it is evident from (38) that (37) beshy
comes identical to H3 (Xt T) - H3 deg (T) = Q(T T)~ 3 which is the maxishy
mum value of Q(T T i)~ 3 and is a fairly good approximation for temshy
peratures up to about O 2 or O 3 deg K The greater refrigeration rate is
gained only at the expense of sacrificing the continuous nature of the 3
dilution refrigerator The amount of He remaining in the mixer after
the lowest temperature is reached is important to know thus analysis
of the transient mode is needed The natural assumption is made that
the heat capacity of the mixing chamber itself is negligible compared with
33
11
I
III
the solution Unless a large amount of cerium magnesium nitrate is used
as the thermometer the as sumption is very g~od Again by treating the
mixer as an open thermodynamic system the change in entropy of the
total system can be expressed as
oQ (51)d8t = T + on 8 J3 3
where oQ is the increment of heat absorbed for the incremental change 3
on of He in the system Equation (51) can also be put in the form3
d8
Qn3 =T-t_8) (52)dn 3
3
where Q is the heat input rate and ~ 3 the molar rate of change of He3
in 3
the mixer- and 8 is the He entropy along the dilute solubility curve3
If n is the number of moles of dilute solution and if the concentrated t 3 lt
solution is assumed to be essentially pure He (T O l5degK) then
8 t = n t 8 + n3 8 3 0
J (53)
where 8 is the molar entropy of the dilute solution from (26) The
derivative becomes
dS t OS dT dnt d8 3 deg dT 0
T dn = n t T OT)X dn + T8 dn + n3 T ciT dn3 + T833 3 3
e dT dnteo dT
= n -d + T8 -d + n3 -d + T8 0 (54)
11 n3 n3 3 n3 3
The mere process of cooling the liquid will automatically cause a small 3
transfer of He from the dilute to the concentrated phase This is evident
from application of the leverage rule to the phase diagram For tempershy
atures les s than about O 15 0 K this effect is quite small and so dnt l dn3
is
34
taken to be zero One calculation was made for a starting temperature
of O 3 oK In this case dnedn was still taken as zero but the value for C3
-1 -1 was taken as [7] C = 64T joules mole deg for a 124 percent solution
below 03 oK instead of using a 64 percent solution Combining (54) and
(52) yields the normalized equation
dT 03 + T (S3- S3deg) (55)
d(n n ) - (ntno) C + (n n ) C deg 3 o 3 o 3
3where n is the original number of moles of pure He in the mixer The
o term T(S3- S3deg) is the same as H (X T) - H deg(T) for T lt O 10K
3 t 3 Equation (55) was solved numerically for T as a function of n3no with
several different values for ntno and 6~ 3 In choosing values for
6~ 3 a value for the ultimate temperature to be reached is picked and
-6~ 3 is set equal to T(S3- S3deg) at that temperature
3When all the pure He is extracted from the mixer continued
3pumping will then begin to remove He from the remaining dilute solution
The obvious question is will this continue to produce a refrigeration effect 3
As the concentration of He in the dilute phase is reducedthe osmotic
pressure is lowered thus work is being done by the system Since the
process is reversible (52) also describes the behavior in this case
However S now becomes t
S t =n3 S 3 + n 4 S 4 deg (56)
so that
(57)
The term n3 dS dn can also be expressed as3 3
35
dS 3 i 08 3 dX oS3 dT n3 dn
3 =n3 oX JT dn
3 + n3 aT)Xdn3
08 3 C 3 dT] = X (1 - X) [ oX) + T dX
T (58)
where the relation X = n3(n + n4) has been used When (58) is entered3
into (57) (52) may be written as
oS bull bull - I 3 dT ]Qn 3 = X (1 - X) LT
oX)
T+ C 3 dX
(59)
3The term (oS3oX)T is always negative and so heat is given off when He
is added to the system (xi 3 gt0) but heat is absorbed during removal of
He3 (~3 lt 0) Since S3 approaches infinity as X decreases to zero the
limit -0 3 00 as X 0 must follow for T =constant However the 3
total isothermal heat absorption per mole of He originally in solution
when going from the concentration Xi to X f given by
l X oS i - Xi r f X (_3) dX
bQno = T x ) j X 1 - X oX T 1
1 (60)
has a finite value for X 0 This is so because S3 increases only asf
-23X for X o
Cooling may als 0 be accomplished by adding pure He4 to a dilute 4
solution through a superleak If the incoming He is at the same tempershy
ature as the dilute solution then the process also would be reversible
In the reversible cc-se the heat absorbed is also given by (52) but with S3
replaced by S 4 0 and n3 replaced by n bull From the system entropy in (56)4
the derivative becomes
36
(61)
which then leads to a heat absorption rate of
bull 2 r (deg53) dT ]Qn 4 = - X l oX + C 3 dX
T (62)
Even though (62) is always less than (59) n is not limited by a pumping
4 rate and therefore can be made much larger than rl Hence Q could be
34
made larger in this second case where He is added to the solution comshy3
pared with the case where He is removed from the solution However 4
in practice the incoming He will always be at a temperature T which is 1
higher than T This reduces the refrigeration rate to
(63)
4where the last term in brackets represents the heat load in cooling the He
3from T to T The total heat absorbed per mole of He in solution when
1
going from the concentration Xi to X at T = constant is thenf
~Qn3 = T[5 (X T) - 5 (X T)] - [(Xi - Xf)X X ] [H deg(T ) - H deg(T)] bull3 f 3 i i f 4 i 4
(64)
For Ti = T this expression approaches infinity as X goes to zero Forf
X laquoXi the last term in (64) becomes (1X )[H deg(T ) - H deg(T)]f f 4 i 4
4 Results and Discussion 3 4
4 1 Properties of He in Liquid He 3 4
The entropy of He in He calculated from (19) is shown in
figure 7 as a function of temperature for various values of X The
37
50 M gt1
40
TO Q)
0
I~ 30 0 E en Q)
J 0
J
gtshya 200 a r z w
pure He3
o 01 02 03 04 T oK
3Figure 7 The Entropy of He in Liqui~He 4
as a Function of Temperature for Various He Concentrations
38
3 entropy of pure He is also shown for comparison All the properties of
4 3He 3in He are listed as per mole of He Of special interest is the entropy
for X = O 064 in the low temperature limit which is given as 53 = 107 2 T
joules deg-1 mole -1 This expression is good to within 1 percent for temshy
peratures up to about 004degK For those interested in more precise
values 53 is listed in Table 7 of Appendix D along with values of (05 oXT3
-4for temperatures below 1 5degK and X between 10 and 03 The horizontal
line drawn in the columns for X gt O 064 indicates the location of the solushy
bility curve The only uncertainty in 53 comes from the specific heat The
weakly interacting Fermi-Dirac gas model fits the measured specific heat
to within experimental error thus the experimental uncertainty of about
1 - - 2 percent is all that carries over to the calculated specific heat and
entropy The ideal Fermi-Dirac gas chemical potential IJ is listed inf
Table 8 since it may be useful for certain calculations
The enthalpy H3 from (20) is shown in figure 8 and also compared
with H3 0 Again more precise values are listed in Table 9 of Appendix D
It is evident from figure 8 that (oH oXT changes sign at about 02degK and3
that H3 for X lt O 064 becomes less than H3 deg for temperatures below O IOK
The effect of these two occurrences on the dilution refrigerator will be disshy
cussed in section 43 The enthalpy values contain an additional uncertainty
not found in the specific heat and entropy namely the uncertainty in
1-l3 r It can be speculated that the resulting uncertainty in H3 for high
temperatures will never be larger than the order of 5 percent The
greatest uncertainty will be for lar ge concentrations For concentrations
much less than 64 percent the error in H3 should be less than about
02 joulesmole at all temperatures On and very near the solubility
curve H3 will be nearly as accurate as the specific heat and entropy
The osmotic pressure has been evaluated from (24) The results
are shown in figure 9 and listed in Table 10 of Appendix D Table 10
39
8
Hi 0 57
~~------~------~~------~------~------~------~--------~----~
6 0 E shyen CI)
J 0
-)
4 gtshya J ltt J t-Z lampJ
2
o
Figure 8
01 02 T oK
03
The Enthalpy of He3
in Liqui~ He4
as a Function of Temperature for Various He Concentrations
04
40
-2
--------------------
IOOO
r----~~--r_~~~~~~----~--_r--r_r_~~~------r_--r__r~~_
IOO
J--
A
V~~~
-~
~
IDE
AL
FE
RM
I-D
IRA
C G
AS
X
=0
64
_
---
X=
0
64
10
X
=O
shy 0 ~
X=
OI
~
01
01
laquo
I
001
1
0
Fig
ure
9
01
01
T o
K
3 4
Th
e O
smo
tic P
ressu
re o
f H
e in
Liq
uid
He
as
a F
un
cti
on
of
Tem
pera
ture
fo
r V
ari
ou
s H
e3
Co
ncen
trati
on
s
also lists values for the expression -[ IJ4(X T) -1l O(T=O)] The fountain4
pressure Pf is shown in figure 9 for comparison with the osmotic pressure
The dashed line in the figure represents the osmotic pressure of a 64 3
percent solution if the He is treated as an ideal or non-interacting Fermishy
Dirac gas In that case IT is given as ITv = 23 U where U is the internalf f
energy of the ideal Fermi-Dirac gas It is evident that even weak intershy
actions can change the osmotic pressure considerably The limiting
values of IT at low temperatures are strongly dependent on the shape of
the (-1J r - L deg)R curve below X = 0064 andconsequently contain fairly3 3
large uncertainties perhaps the order of 10 percent Measurements of
the osmotic pressure for temperatures somewhat les s than T f would then
be extremely useful in determining the exact behavior of 1l3 I and the intershy
actions The classical expression [3] for the osmotic pressure
E TI V 4 = - RT tn(l - X) - iJ 4
(65)
4where 1l E is the excess chemical potential of He in the liquid solution
4 has been used in the past [3] for high temperatures The term 1l E conshy
4 tributes only a very small part to IT at these temperatures and thus IT
is nearly proportional to T For temperatures less than the order of
T f quantum effects come into play and prevent IT from going to zero at
T = OOK It is instructive to compare the calculated values of IT with exshy
perimental results at temperatures of O 8degK and above The comparison E
is most effective if 114 is observed instead of IIbecause any differences
in IT would be greatly magnified in 1lE
bull Figure 10 shows values of 1lER
4 4 calculated by (65) from the theoretical results for II V 4 The dashed lines
give two typical experimental values [ 3 24] for a temperature of 08 degK
The lack of agreement indicates more experimental results are needed
before any conclusion can be made about the reliability of the calculated
42
005~------------~------------~-------------------------------------------------------------------~
004
003
002
001
T 0 OK
-001
10
04
Data of London et of (T 08 OK)
o -=-- - 02
01
o 001 002 003
4Figure 10 Behavior of the Excess He Chemical Potential as Deduced
from the Osmotic Pressure of He 3 in He4 bull
43
II although the uncertainty in II is approximately an order of magnitude
less than that of 1-14 E R
3 44 2 Properties of the Total He - He Solution
Tables 11 through 13 of Appendix D list the specific heat entropy 3 4
enthalpy and excess enthalpy for the total He - He solution These 3
results are listed as per mole of solution instead of per mole of He as
in the previous section Figure 11 compares the values of HE calculated
from (31) with experimental results Lll 26] In general the agreement
is very good except for high temperatures and concentrations which is
to be expected from the model used here It is interesting to note that
HE becomes negative for temperatures les s than about O 15deg K This
inversion temperature is shown as a function of X in figure 16 (p 55)
denoted as curve ll Below this temperature heating rather than coolshy3 4
ing occurs when pure He and He are mixed together to form a solution
This result of course has no bearing on the dilution refrigerator since
in that case it is not the pure components which are mixed together The
reverse process separating a mixture into its two pure components
does produce some refrigeration and will be discussed in detail in section
43
3 4The vapor pressure of the He - He solutions as derived from
(32) are shown in figure 12 and listed in Table 14 The results in
figure 12 show the ratio PP3deg so that curves for several temperatures
can be included on one graph Again there is good agreement with exshy
perimental results L27] The experimental curve shown for O 4degK was
taken as the vapor pressure of the concentrated phase given approxishy
mately by P = Xu P3deg The vapor composition used in the calculation of
P is listed in Table 15 Fortunately X is not very sensitive to WR for v
X larger than about O 5 v
44
Q)-o E
fh Q)
l o ~
--------- T =OOK
-Ol~~--~~--~~--~--~~--~~--~~--~~~~~
08
06
04
02
o
I et 0 I
--0--de Bruyn Ouboter I 115degK
rJ Sommers et 0 I T = 102deg K II
- This Work I I
I I
I I
I cent I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I l
~~~___________ a
02
o 005 010 015 x
3 4Figure 11 The Excess Enthalpy of He - He Solutions as a Function
of He 3 Concentration for Various Temperatures
45
10 r------__--------------------
08
OS
o~ a
0
OA
010
O8degK 005 02
r 0 o 001 Q02
o 01 02 03
This Work
--- Experimentol
fill 015
x 3 4
Figure 12 The Vapor Pressure of He - He Solutions Divided by the Vapor Pres sure of Pure He 3 as a Function of He 3
Concentration for Various TeITlperatures
46
The differential heat of vaporization A is derived from (35) and vt
the term A E vt which represents the deviation from the ideal differential
heat of vaporization is plotted as a function of X in figure 13 The dash-v
ed part of the curves are in the region of X gt 03 and so represent intershy
polations The as sumption was made previously that the solutions could be
treated by regular solution theory to find X from a given value of X at the v
temperature T The relationship between X and X is therefore subjectedv
to some uncertainty especially for X less than about O 5 The term E v
A II from (35) uses both X and X which would appear to cause an unshyv~ v
Ecertainty in A However the term ~ in (35) is very nearly linear in
vt E
X which results in A being practically independent of X Thus for a vt
given value of X the uncertainty-in AE is nearly removed The directII
v ~ E experimental results of Sommers [28] and results deduced from H
data [11] are also shown in figure 13 for comparison
3 44 3 Applications to the He - He Dilution Refrigerator
The enthalpy H3 (X T) and entropy S3 (X T) along the lower t t
solubility curve are listed in Table 16 The maximum heat absorption
rate Q(T T)~3 calculated from (36) is also listed and applies to the case 3
where only pure He is circulated Plots of H3 (Xt T) H3 deg (T) and
Q(T T)~3 are given in figures l4a and 14b For temperatures less
than about O 04degK the expressions
Q(T T)n3 = 82 T2 joulesmole He 3 (66) I
fit the results within 1 percent These numbers are somewhat smaller
than those given previously by this author [ 29] since the binding energy
E was changed to fit the latest results [9] on the solubility curve The o experimental behavior of Q(T T)n is (83 plusmn 4) T2 joulesmole He 3
3
47
o -I
-2
-3cu
0 E
en
-4
cu
J
0 J -5
~
-t0
0
111
gt
lt
-6
-7
-s
-9 I
I I
I I
I
I
I I
I
a 0
1 0
2 0
3 0
4 0
5 0
6 0
7 O
S 0
9 1
0
I E
xper
imen
tal
I
Xv
Fig
ure
13
T
he D
ev
iati
on
fro
m t
he I
deal
Dif
fere
nti
al
Heat
of
Vap
ori
zati
on
of
He
3 -
He
4 S
olu
tio
ns
5
Q)
o E (J) 2 Q)
J o J
1 f 1( ~
IJ I I
IV J J
j I IJ
J
IV I H3 (Xl T) 1 I
~ I OfT T) 113 V I
L1 I J
IX J H3O(T)II I
I J II IJ
1 I IJ I I I(
II I JIfj I
1 V III V
J
2
2 5 2 5
Figure 14a Plots of H (X T) H (T) and O(T T)~ 3 =H (X T3 t 3 3 t
- H3 0 (T) for Low Temperatures
49
10
5
2
~lcP o E
fI) Q) 5 J o
J
gt-~
Q 2 -J lt c t- _I 210 W
5
2
-210 10 2 5 101 2 5 10deg 2
J II-2
I III i
IJ i V
II Ifj
H3 (X T)
J
JJ
~ h
JV W
JV
II rl
J I(
V 1
J
rj
J V
L
~
V~ ~ I
J
II
~ I ih ~I
J V Ill
W II j V
J LI 1 f
IJI( Jt Q(TT) h3 j
V )
(HffTJ
I 1
I 1
I JI
1
I
I
T oK
Figure 14b Plots of H3 (Xt T) H3 (T) and a(T T)~ 3 for High
TeITIperatures
50
3Peshkov [ 10] gave the value 100 T2 joulesmole He from his calculations
using X = 005 as the limiting solubility The same result would be
reached in the present work by considering a 5 percent solution Vilches 2
and Wheatley [5] also derlved the value 82 T but 59 percent was used
as the limiting solubility The uncertainty of the present results beshy
tween O 004degK and O 2degK for H 3
(X-f T) and Q(T T)~ 3 are estimated to
be about 2 percent judging from the experimental uncertainties in C 3
C3
0 and the solubility curve Above O 2degK the accuracy may not be
quite as good
For temperatures less than about O OlooK considerable uncershy
tainty exists in C deg According to Balian and Fredkin [30] the limiting3
temperature dependence of C deg should have the form C oT = 3 3
A [-fn(BT)] 12 The experimental results [31] below O OlooK neither
confirm nor deny this temperature dependence If this form is correct
then at sufficiently low temperatures Q(T T)ri would become zero though3
-6 temperatures less than 10 oK would probably be required A more
recent theory [32] shows that C degT approaches a constant value at3
3T = OOK A transition of He to a superfluid phase in either the pure or
dilute liquid would also alter the present analysis below the transition
temperature However neither of these effects should change the presshy
ent calculations at O 004 0 K and above
It is obvious from the curves in figures l4a and 14b that the 3
incoming pure He can be at a much higher temperature than the outgoing 3
dilute He and still provide refrigeration It can be deduced from (66)
that for temperatures less than about O 04degK the refrigeration power
goes to zero when (T T) = O 36 where T is the temperature of m 1 Q=O m
the mixer More exact values of this ratio are given in Table 16 and
are slightly dependent on T bull For small residual heat leaJlts the limiting m
temperature of the mixer is thus determined solely by the inlet
51
3 temperature of the pure He For example if the residual heat leak is
5about 1 ergmin or less for a circulation rate of about 2 x 10- moles
sec then the mixer will reach O 005degK for an inlet temperature of
0014degK Unfortunately heat transfer at these low temperatures beshy
comes very poor and it looks as though considerable research on heat
exchanger properties and design are required to reduce the temperature 3
of the incoming He to this low value
4 3Any He in the incoming He stream will reduce the refrigeration
effect as given by (41) for temperatures below about 02degK For temshy4
peratures of O 040 0 K and below the influence of He is easily evaluated
since H (Xf T) and H deg(T ) can be represented as in (66) Figure 153 3 i
3shows how the concentration of He in the circulated gas stream can
affect the refrigeration capacity in the mixer The figure shows plots of 2 2
(QT m)X obtained from (41) normalized by the quantity (QT m )X= 1
for various values of the ratio T T Values of T T near 1 0 can m 1 m 1
only be achieved with nearly perfect heat exchangers something quite
difficult at very low temperatures If it is assumed that the presence 4
of He has no effect on the heat exchange properties then T and T 1 m
will remain the same for all X and the curves will then show the ratio
(Q)X(Q)X=l The dashed line in this figure represents the reduction in
refrigeration capacity which would be due only to a reduced amount of 3
He bull Obviously this curve is quite different than the more exact curves
especially for low values of T T Most of this difference is due to m 1
the fact that some dilute phase with its very high heat capacity must be 4
cooled from T to T whenever He is present in the incoming stream 1 m
From the curves shown in figure 15 it is easy to see the importance of 4
eliminating He from the gas stream particularly at low temperatures
where T T will be low and near its ultimate value The other curve m 1 3
in figure 15 shows how the ratio (T T)Q 0 varies with the He m 1 =
52
01
V
J
IDmiddot
bull
08
06
04
02 o
02
0
4 0
6 0
8 1
0 x
Fig
ure
15
Th
e R
ati
o o
f M
ixer
Tem
pera
ture
to
In
let
Tem
pera
ture
fo
r Z
ero
Po
wer
Inp
ut
an
d t
he R
ati
o Q
T2
as
a F
un
cti
on
of
He
3 C
on
cen
trati
on
in
th
e C
ircu
late
d G
as
m
4concentration in the gas stream The effect of He on this ratio is
fairly small for less than about 50 percent He4
It will now be shown that the fractional change in T itself is m
only slightly larger than the fractional change in the ratio (T IT)a-om 1 -
This fact can only be found from an analysis of the heat exchanger A
system of several individual heat exchangers of the type used by Vilches
and Wheatley L4] will be assumed but only the lowest temperature heat
exchanger will need to be analyzed In the ideal case both the dilute and
concentrated streams will leave the lower heat exchanger at the same
temperature T The dilute and concentrated streams enter the heat 1
exchanger at the temperature Tm and Tb respectively At low temperashy-1
tures the specific heat of the two streams are C = 107 T joules mole -1 -1 -1 ~4
deg and C = 25 T joules mole ieg bull A heat balance is then made3
0
on the heat exchanger which leads to the condition
2 dT T dT
1 = O 81 (~) m (67)T T T
1 1 m
For T IT = O 36 this becomes dT T = O 11 dT IT Therefore m 1 11m m
T changes very little for a change in T and the fractional change in 1 m
T will be only about 11 percent larger than the fractional change in the m
ratio (TmTi)a=Oat least for (TmTi)a=O near 036 The ratio
(T IT )a decreases by about 7 5 percent when going from X = 075 to m 1 =0
X = 1 0 so T will decrease by about 83 percent for this change in X m
In the case where the two streams do not reach the same temperature in
the heat exchanger the change in T will be slightly less than in the m
ideal case
In figure 16 is shown the locus of points where H3 = H3 0 which 3
is designated the inversion curve III Diluting the He to any point below
54
05~----~------~----------------------
004
10
05 ------------------ o
006
002
PHASE SEPARATION
REGION
008
15 r---------------
04
03
o t shy
02
01
o
3 4Figure 16 Enthalpy Inversion Curves for He - He Solutions The
inset shows the high temperature end of the curve I
55
x
this curve without doing work results in a heating effect whereas above
this curve a cooling effect takes place This inversion curve I given by
(oH oX) = 0 is also shown in the same figure Below this curve the maxishy3
3 mum cooling effect is achieved by diluting the He no farther than the s olushy
3bility curve Above it maximum cooling occurs when the He is diluted as
much as possible but still remains above the curve 1 To prevent a loss
of refrigeration at temperatures below inversion curve I requires the 3
mixer to have a very small impedance for the flow of He so that dilution
below the solubility curve can not take place The technique of bringing
about extra dilution above curve I is discussed later The curve II in
figure 16 was mentioned in section 4 2 but for completenes s is restated 3 4
here Mixing pure He and pure He such that the resultant solution is at
a point below curve II results in heating whereas cooling results for a
point above curve II
The concentration in the dilute stream between mixer and still is
shown in figure 17 for various mixer temperatures These concentrashy
tions are for constant ~4 The specific heat C~4 of th~ He3
in the dilute
stream is shown in figure 18 also given for various mixer temperatures
For a mixer temperature of OOK the specific heat becomes C~4 = 1072 T
joules mole -1 deg -1 in the low temperature limit which is the same as
C for X = O 064 The classical value of 52 R would hold at high tempershy3
atures if the process was at constant IT instead of constant ~4 Values of
C~4 are useful in the design of heat exchangers and so are listed in Table
17 along with X and 8 for constant ~4 for several mixer temperatures3
The vapor pressure of the solution in the still is plotted in figure
19 as a function of still temperature with the mixer temperature as a
parameter The heat of vaporization of the liquid in the still and the
vapor composition (neglecting film flow) are both shown in figure 20
56
08
06
~
o
tshy~
04
02
PH
AS
E S
EP
AR
AT
ION
R
EG
ION
o 0
02
0
04
0
06
0
08
0
10
012
X
F
igu
re 1
7
Co
ncen
trati
on
Pro
file
s f
or
Co
nst
an
t J
4
TABLE 9
THE ENTHALIIY OF HE3 N HE4
H3 (JMOLE)
~ 00001 00002 00005 00010 00020 00030 00040 00050 00060 00080
ClO
0000 -210606 -208000 -202153 -194785 -1083391 -174107 -166024 -15e71 -152114 -140192 0001 0002 0003
-21002 -2~865
-211696
-20719 -206591 -205173
-111943 - 01329 -200368
-94652 -19425 -19361 i
- 83307 -183056 -182640
-174043 -173850 -173531
-16f)971 -1651111 -165547
-1511716 -1511578 -1511349
-52073 -151151 -151748
-140159 -140058 -139889
001l4 -2115134 -203543 -199 146 -192742 -82066 -173087 -165178 -158030 -151464 -139654
0006 -211285 -199965 -96198 -190460 -180476 -171839 -164 135 -157124 -150658 -13e9A4 0008 0010 0012 0014
-1Q7317 -1Q3291 -1J1923j -1R515ii
-196171 -192268 -188302 -18494
-192854 -189284 -85576 -181775
-18767Q -18456 -08122 -177727
-1711385 -175903 -73125 -170120
-170151 -168084 -165706 -163074
-162706 -160928 -158844 -156500
-15876 -154308 -15449 -150333
-149543 -148134 -146451 -144521
-138053 -1middot36870 -1035445 -133793
0016 -1A1054 -1110258 -177910 -1741111 -166940 -160235 -153937 -147995 -142368 -1031931 0018 0020 0075 0030
-1769411 -172834 -11I252 -1I219i
-176202 -172130 -161905 -151636
-173997 -170048 -160065 -149977
-170425 -16666 -157065 -147267
-163624 -160200 -151286 -142023
-157229 -1540 86 -145774 -136993
-151190 -148287 -140001 -132158
-140465 - 104279 -130448 -127500
-140022 -137504 -30596 -1n009
-129877 -127650 -121438 -114483
0035 -141850 -141340 -139823 -137341 -132528 -127894 -123424 -11QI05 -114927 -106962 0040 -141497 -131025 -129623 -1273211 -122869 -1111567 -114406 -110379 -106475 -09900 0015 -11l3 -120697 -19391 -117251 -113091 -109070 -105177 -101 401 -097736 -090711 0050 -110771 -110359 -109134 -107127 -103222 -099445 -095783 -0922211 -088774 -082144 000 -090029 -089661 -~8E1568 -0877 -083287 -079910 -07633 -07~448 -070349 -064389
0070 -09278 -068944 -067953 -066329 -063168 -060108 -057138 -054251 -051440 -046030 OOAO -049520 -048214 -047305 -045817 -0middot42923 -040122 -03 7404 -034762 -032190 -027241 0090 0100 0120
-0~7757 -Oii699i 04540
-027474 -006727
034782
-026634 -005945
035470
-025259 -004666
036595
-022586 -002182
038774
-020002 000218 04n874
-017496 002543 042905
-015061 004801 044874
-012691 (11)6991 046186
-001133 011218 050452
0140 076096 076304 076921 0779lt5 079866 081731 083531 08S273 086960 0Q0186 0160 01110
11 764shy159203
117837 159376
1 8394 59884
119301 1060711
121050 162300
122725 1631117
124338 165274
12158Q4 16676
127398 16A028
130266 170595
0200 2n0761 200920 201387 02145 203599 204983 206307 207578 208800 211112 0250 314663 304795 305182 305807 306996 308117 309182 310196 11l63 312972
0300 4n8571 408684 409012 409538 410531 411459 412331 413154 413932 415367 0350 0400 0450 0500
512485 6640[170]2n 8lt4240
512582 616486 720394 824305
512864 616730 720608 824493
h13313 6171111 720944 1124786
514154 617836 721561 825317
514Q31 618491 722115 1125785
515653 61 9093 722616 82c201
51328 619647 723070 826571
516Q58 1120157 723482 826899
51100 621deg3 724191 A27441
0550 928161 928lt19 928384 Q28641 929097 929491 929834 930131 930387 930786 0600 0650 0700 0750
1O~2084 1146007 12993 1343854
1032135 1136052 1239970 1343890
1032280 1136180 12 40084 143989
103t504 1136375 1240253 1344136
1032895 1136710 1240536 1344373
1033226 1136983 1240760 1344551
1033505 1131206 1240932 1344679
O33738 1137384 1241060 1344761
1033931 1137520 12411 47 1344804
1034205 1137684 1241212 1344781
01100 1447779 1447810 1447897 144AG23 1448219 1448356 1448443 14411485 14411487 1448383 0850 151704 1551731 1551807 1551914 1552073 1552112 1552221 155226 1552192 1552015 0900 1605629 1655653 1655718 16558011 1655932 Hbullbull 55997 1656012 165119114 1655915 1655672 0950 1000
17955 18f3480
1759576 1863498
1759631 1863545
1759705 U63604
1759797 1863667
1759831 1863672
1759815 11163627
1759755 18 63538
17t0655 lR63410
1759351 11163048
11(10 2071333 2071345 2071376 2071409 2071419 2071372 2071275 2071135 2070955 2070492 1200 1300
l7918 lt4A7030
2279194 2487043
2[179211 2487048
2279220 2487037
2gt791115 24F16962
2279092 2486828
2278950 248c646
22711764 2486421
2278540 2486157
2271Q88 2485527
1400 1500
69489 29n2747
2694893 2902744
2694887 2902728
26948511 2902683
2694747 2902540
2694578 2902338
2694360 2902089
2694100 290796
2693801 2901466
2693100 2900702
Page 101
TABLE 9 laquoCONTINUED)
HJ IJMOLE)
T~X 001011 1)0150 00200 00250 00300 00350 00400 00411i0 00500 005-0
flO
0000 -19~4 -107331 -088986 -073383 -059844 -047941 -037382 -027953 -019495 -011881 0001 -19612 -101308 -n88967 -il73367 -059~30 -047928 -037370 -027942 -019484 -011871 0002 00113
-19524 -19H9
-107lt41 -10729
-n88912 -ii88~118
-07331t -073238
-059786 -059715
-047889 -047824
-037334 -037274
-027908 -027853
-laquo)19453 -1119401
-0l1i4i -011793
001)4 -1gt9175 -106972 -ii88688 -073125 -059614 -047733 -03790 -027775 -019328 -011724
0006 -118590 -06525 -088317 -072802 -059327 -047472 -036951 -027553 -019120 -0011528 0008 0010 0012
-17787 -1gt757 -1gt5516
-105902 -105103 -104133
-ii87797 -~ 8732-086321
-1172352 -071 774 -071069
-058925 -0011410 -057782
-047108 -046640 -046070
-036616 -036186 -03MI
-027241 -02842 -026354
-018828 -1118454 -017998
-Ol1254 -010901 -010470
0014 -1gt057 -102994 -ii853611 -070239 -057041 -045397 -035041 -025779 -617458 -009962
0016 -1gt2409 -11)1692 -084274 -069286 -056189 -044622 -034329 -025116 -016837 -009377 0018 0020
-1105711 -118076
-100233 -098622
-083043 ii81678
-068210 -067015
-055227 -054157
-043747 -04gt773
-033523 -03224
-024366 -02J530
-1116135 -1115351
-0oa74 -007975
0025 -1 i2920 -093983 -071710 -063522 -051018 -039910 -029982 -021069 -013042 -000796 0030 -1n650 -088571 -073012 -059300 -047248 -036458 -026788 -018089 -010242 -003150
0035 -099117(1 -1182512 -067670 -054559 -042891 -032450 -023067 -014609 -006967 -000052 00110 0045 0000 0060
-091956 -0114059 -075852 00872
-075911 -068859 -061431 -0 45675
-ij61772 -ii55396 -~48607 -034016
-1149215 -laquo)43385 -0371ZA -023534
-nn996 -0J2617 -0gt6806 -014069
-027925 -022924 -017492 -005500
-0lBe51 -014172 -009067
002274
-010654 -006252 -0oi432
009334
-11113237 ) 00926 005497 015751
003484 0middot07438 011798 02584
0070 -0088) -029007 -018365 -00877A -1)00107 007758 01 4901 021 397 027304 032674 0080 0090 0100
-02252~ -113795
0i531
-011660 0116205 024471
-iin1911 ~15164 032732
006877 023239 0 40115
014828 030538 046875
022039 037151 052942
0 28589 043150 05tl433
034543 0411596 063405
1)39956 1153538 067904
044873 0511018 071971
0120 039Z7 061A96 ii6lS982 n75317 080999 086108 0911702 094829 0911530 101h2
0140 0)3234 100181 106307 111741 116570 120867 124693 128092 131101 13-754 0160 0180
1296 172999
139068 178394
44396 183046
149071 1amp7073
103119 90563
156791 193580
159955 196178
162720 1911393
165125 gt00265
167198 201826
0200 23265 2181153 22123 225592 228543 2JI042 -33139 234875 236282 237388 0250 34630 318gt16 321128 323479 325350 J26801 327P81 328629 -29077 329253
0300 46656 419342 421383 422889 423937 424588 424888 424875 424579 424028 0300 0400 0450
59101 6183)74760
521081 623239 725697
522437 1124037 726031
523275 6211333 125873
523673 624200 125296
523689 623695 724357
523367 622864 723099
52745 62i743 721 558
521854 120361 719763
520718 618743 717740
0500 8785) 828379 1128319 A27775 1126820 820510 1123888 821988 A19841 II 17470
0500 9 on 054 931234 930834 929956 928675 927043 92105 92gt895 920442 917769 0600 104349 lO34225 lii33527 1032358 1030790 102A877 1026662 1024180 1021457 101819 0650 0700
117718 12411 49
1137325 240516
1136364 1gt39320
113493A 1237663
1133116 1gt35615
1130954 1233231
1128494 1230551
1120769 122760
1122809 1gt24436
1119636 li21052
0750 1344630 1343781 1342374 IJ4(1510 1338258 133t673 1332796 1329660 n26294 132-720
0800 1448153 1447109 1445511 1443459 1441022 14311255 1435199 14 31 887 1428346 1424599 0850 0900 0950 1000
155171- 165530 ]7lt8921 181I256
1550491 1653918 175786 IIloOIl88
1548718 151986 1755307 1858673
154495 1149606 1752782 11156015
1543890 1646847 1149881 11152982
1540957 H bullbull 43762 1741656 1849627
1537737 1640392 1743148 lIh4S992
1534264 163770 1739389 18 4Z107
1530563 1$32924 1735408 11138001
1526660 1628876 1731227 1833697
1100 20990 2()67982 21)65523 2062625 2059356 2055769 2051904 2047793 21)43463 2038937 1200 227731 2275173 2272501 2269394 Zi65919 2262129 2258063 2253754 2249229 224451)9 1300 1400 1500
4A4774 2692278 2899AIA
2482443 2689776 2897163
2479583 2686749 21193985
2476290 28329 2A90379
2472634 2679473 211S6415
2468664 267t343 2AB2141
2464421 2670942 2877598
245q937 2666302 28728 18
2455239 2661449 2867826
24511347 2656405 2862644
Page 102
TABL 9 (CONTINUEO)
H3 IJMOLE)
T~middot 006(1) 00640 00650 00700 00750 00800 00900 OOOO Oll 00 Oll00
00
0000 00t1 0(1)2 00(13 0004
-0rS013 -00004 -04971 -0(4931) -0~4116C
1)00000 000009 0(01)360)1)080 000143
001191 ~01200 iiOlntgt ii01270 iiOl3n
006799 006A07 1)068llt 00687lt 006934
011867 011875 011899 011939 011996
016443 01451 016474 016513 016567
0l42Al 024289 024 ]10 024346 024397
0305M 0lri591 0]06 11 03Q645 030693
035561 035567 1)35587 035619 1)35663
039377 039383 039402 039432 039474
001)6 oOos OOH 00tgt 0014
-01I467Q -0~4410 -O408C -03677 -0319r
000321 000571 000R92 001284 101747
1101)1509 ~01756 01)2074 00243 ii02921
1)07103 007330 0(764)oollon I)OR451
012158 o123A4 012675 013031 013451
016n3 016941 017220 017562 017965
024542 024744 025004 0l5322 025698
0308211 031018 03i262 03j560 031 9 12
035791 035970 031201 036482 036814
039596 039766 039984 040251 040566
0011 0018 0020 0025 0030
-0l264 -02012 -01311
l)ii0756 03(61
002280 002884 003558 005546 007962
003449 004047 004715 ii(l6684 009078
008951 00952F 0101Alt 0120411 (I1 433S
013934 014482 015094 016899 019096
018430 0111957 019545 0212Bl 023394
026130 026620 027168 028 784 030753
032318 03~778 0332(11 034808 036656
037197 037631 n]A1l5 0]9547 041293
040929 041341 041800 043160 044816
003S 0040 0045 00ltgt0 001l0
0116217 O~977 0i314f n17O~ 0gt6A8~
010797 014039 017675 Oc1688 030770
0118B7 nl)101 ~ ii2c68S ii31695
017027 O2010~ n23563 n273l1 036051
021677 024635 127960 031639 040003
025A79 (I2A728 031932 035481 04)563
033070 035729 0311723 0 42044 049628
038830 04i331 044148 047276 054434
0middot43349 045712 0411377 051339 058127
046769 049014 051547 054364 060829
0070 00110 0090 01(10 O po
O~7551
04933 0 2074 1)763Q 1-479
041129 052600 065036 078307 106Q20
041979 n53375 n65738 078938 l07418
045981 057026 069037 08194 109732
049606 060314 071995 iIA4531 111759
052864 063163 074636 0136867 113516
058390 068230 0711040 0010714 116286
062729 072077 0823A6 09)559 11A152
066015 0 74927 n84787 095508 1101208
068356 076882 086337 096647 119529
0140 0160 OlAO 0200 OSO
136077 IAA96~ 230911 28221 3gt9170
137717 17075 203926 238705 328956
138 097 170451 204107 38BOl )28878
191133 171671 0048601 23914Q 32113lt
141306 172649 205401 239279 327647
142532 173396 20717 2301206 3lt6748
144303 174256 205754 2311497 324447
1415247 174350 205072
~21 54 1
145449 1 73756 203744 235109 318094
144919 172539 201834 232559 314159
0300 43242 422460 422243 421046 419666 41A115 41 4547 4104 14 405781 400702 0350 0400 0450 0500
519350 fIii691ii 715508 11489
518125 615303 713585 812702
r17797 1S14882 713086 A12136
S16047 612673 710489 A)9206
014123 610297 707731 A06120
512038 607767 70_11124 A02888
507427 602286 698604 196030
5002118 596302 691899 7BA703
496684 1)139873 614767 780964
490659 583048 617251 772858
0550 0600 060 0700 0750
0Il4891 10i538f 11627 12i747A 13A951lt1
912468 1012750 1113450 1214494 1315A26
911844 1~12074 1i12728 1213731 131502
908624 1008599 1109027 1209821 110937
905251 1004974 1105177 1205775 106704
901736 100110 1101191 1201590 1300340
1194323 993305
1092849 1192857 1293251
886452 984954
1084070 1183692 1283739
R71n80 h76211
1074907 1174152 1273857
16955] 967U3
10615406 1164280 1263649
OIlOO 14gt0667 1417399 1416566 1412310 1407913 1403384 1393974 1384145 1373952 1363438 0850 Ogeo 0900 1000
)5gt2571 1624645 176864 18gt9212
1519181 1621140 1723gt55 1825506
1518317 1620248 1722337 1824564
15139)A 1~15700 1711660 11119767
1509360 1611013 1712845 1814834
1504682 1606198 1707903 lA09774
1494976 1596221 1697616 1799316
1484858 158r836 1687045 I18A457
1474]80 1575096 1676063 1777250
1463586 1564044 1664173 1765739
1100 1200 13eo 1400 1500
2034233 223911 lt445B 2C1l8A 1lr729lt
2030)54 2235582 ~441117 2646903 2852R98
21)29368 2234559 2440060 2645816 2A517e4
2024357 22293501 2434693 2 40301 2A46136
2019210 2224026 2429196 2634656 21140358
2013940 221111570 2423577 26211~91 2B34462
2003064 2201330 2412013 261 7039 21322350
199195 2195702 2400061 26048014 28Oq863
lQe0185 2183737 2187789 292250 21Cl7052
1968276 2171479 2375222 2579406 2783959
Page 103
TA~LF 9 (CONTINUED)
H3 (JMOLEI
TI 01301) 01400 01500 01600 01800 02000 02250 02500 02750 OlOOO
(KI
0000 042167 044040 045089 045391 044012 0 4 (1334 033005 023100 011009 -002960 Ooni 000 0on3 0004
042173 04219 042219 042259
0441)46 0441162 0441190 044129
1)45094 n45110 1)45137 n4S174
1)453911 n45411 045417 1)454n
044016 044031 044054 0440R8
04n]38 040352 040374 040405
0l3009 033021 033042 033071
02104 024116 024136 0211(3
1111013 (loll 024 011043 011 069
-n029i6 -00gt945 -00292A -002903
0006 0008 0010 0012 0014
042370 042537 042745 04gt999 043299
044gt39 044394 044093 044836 045123
n4)2Ao n45428 045619 0451152 046128
045575 04lt77 0459n (104(1204(391)
044183 044316 044487 044696 044943
040495 040620 ()40781 040977 04)gt09
03355 n3372 n33422 033605 0331122
02242 023351 021493 02)665 02869
1)11143 011247 01138 1 011544 011737
-nOtl32 -00gt7]3 -00~606 -002451 -00gt267
0016 043645 045454 046446 046696 045228 041477 03+072 024104 011960 -002055 0018 0440311 045829 046805 047042 045SH n41781 034355 024370 012212 -0018tl 0020 0444710 046248 n47208 n47429 045912 042120 0341011 0246611 012494 -001547 0025 0030
1)45771 n4735)
047487 048999
1148397 1)491147
0411573 1)49970
046979 048281
041122 044347
035607 036750
025549 026624
(I 13327 014346
-000753 000216
0035 049212 050780 )51558 1)51616 049A18 045791 038099 027894 015548 00360 0040 0045Ooso (IOM
051354 00371 1 00(461 010264
0521130 05gt145 057723 n63(48
0S3S26 0)5750 058226 063923
1153511 055653 0511039 063530
051586 0middot53586 055815 060950
047454 049336 0H433 056269
03653 041411 043371 047A94
029356 031011 03857 037119
016933 0111501 1120251 024290
002679 004172 005839 009687
0070 069F47 070168 1170585 069957 066968 061943 053207 04212F1 029041 0014216 0010 078026 078434 0711168 077283 073842 06A433 059291 047871 034493 019415 0090 0100
0~710(171)5gt
087192 096785
1186625 095902
0A5464 094451
081536 090009
070710 0113741
1)66125 073681
054330 06l4
040629 n47433
025272 031772
0120 11QI8) 118gt19 116693 114644 109124 101915 090838 077764 062954 046625
0140 143894 14247 140080 13743 130821 1226415 1111501 096493 oFlOMl 063805 0160 0180 0200
170754 199)Q 2-9lt011
168447 196463 225998
165659 193085 22066
16t420 189290 211741
)04740 1 11 0565 208026
145599 170482 1 Q7035
132381 156204 1081727
117422 1402H 164890
100942 122966 146715
083126 104379 127362
0250 3977Q 304994 099835 [194331 [182385 26Ql22 251626 232602 212419 191220
0300 395219 389369 383182 376684 62R43 347998 3211217 307253 285263 262316 0350 4114255 477507 470447 463100 447635 431255 409667 387007 63422 339032 0400 5751167 56F1365 060567 552497 535630 517914 494745 470595 445603 4198AO 0450 0500
6Q401 74420
661247 7551191
152RI0 746701
4411A 13746gt
6260S0 718332
61)774 911444
582615 72671
557146 646035
030901 618674
50991 590697
0550 IIl060Fl 851379 A41892 FI3171 812103 791309 764454 736789 708436 679504 0600 957726 948052 938128 9279711 907074 885473 857645 829047 799809 770025 0650 0700
1055604 1154114
1045533 1143684
1035218 1133011
10246A4 1122136
1003030 1099805
980703 107821
Q52001 1047326
92562 1017123
1192511 986337 ~ 955068
07S0 1253153 1242398 1231411 1gt20214 11Q7268 1173687 1143470 111gt571 1081113 1049194
0800 1302640 1341589 1330310 1318826 195318 1271191 1240312 12011175 1176700 1144186 0850 1402512 1441189 1429643 1417895 13Q3R71 n69242 1331755 1305630 1272987 1239923 0900 1502717 1541144 1529351 1517360 149859 1467767 1435719 1403051 13M88 1336310 0950 1000
1603211 173959
1641406 1741940
1629385 1129701
11717 17172A3
59229 1691932
1561708 1666012
153439 1632960
1500967 159939
1467310 1565207
1433265 1531)7lt2
1100 1906103 1943697 1931083 19182R lR92193 lf16i554 1831627 1197138 P62204 1726921 1200 13GO
215896 gt3 24011
2146211 2349353
2133268 2336107
2120136 2226A2
2093398 2295368
2066126 2267533
2031428 2232151
1996192 219250
1960534 2159946
1924547 2123331
1400 1500
25 6312 2770619
2552996 2157061
2539484 2143309
2525796 2729384
2497966 2701088
4(9627 2672295
2433632 2(35746
2397135 259R711
gth60251 2061303
2323074 2523616
Page 104
TABLE 10
THE OSMOTIC PRESSURE OF HE3 IN HE AND THE EXPRESSION -[ ~4(X T) -~4 (TwO)]
OSMOTIC PRESSURE bull P OSM -[ ~4(X T) -~4O(T=O)] bull U
)( 00001 X bull 00002 X bull OOOO X bull 00010 X bull 00020
P OS U P 0514 U P OS U P OSM U P OSM U (Kl TORR) IJMOLEI CTORRI CJMOLEI (TORRI CJMOLEI nORRI CJMOLEI CTORRI IJMOL[I
0000 bullbull 810middot00 1783-006 15lmiddotmiddot00l 56middot2middot006 6978-003 2566-00 2181-002 8020-005 6769-002 2bullbullbull9-00 0001 0002
5509-00 7002-00
2026006 2575-006
1620-003 18l-00l
5956-006 6778-006
709l-00l 7 bullbull26-00l
2608-005 2731-00
2196_002 2238002
8073-00 82l1-005
6787-002 681-002
2 bullbull96-00 2516-00
0003 000
880-00 1OA3-003
3250-006 398Z-006
21511-003 2506-003
791l-006 9216-006
79-003 8612-003
2923-005 3167-005
2308_002 2 bullbull0l-002
8bullbull88-005 8836005
6931-002 7056-002
2Imiddot9-00 2 595-00
0006 151)2-003 5SiH-006 3281-003 1208-005 1021-002 l756-005 2650-002 975-005 7bullbull01-002 221-00 0008 0middot0100012
1 93l-003 2371-00l 28lmiddot003
7108-006 8719-006 103-005
middot1l0-003 4959-003 5822-003
1511-005 1823-005 21middot1-005
120l-002 1397-002 1599-002
bullbullbull25-005 5138-005 5879-005
295l-00Z 3292-002 365middot-002
1086-00 10210-004 1middotmiddot00middot
7855-002 8393-002 8996 002
2 888-004 3 086004 3 308-004
001middot 3257middot00l 11 98-00ll 6693-00l 2bullbull61-005 1806-002 6639-005 4034-002 1483-00 9648-002 3548-004
0016 37112-003 1361-005 7571-00l 2784-005 201 6-002 7bullbull12-00 4426_002 1628-00 103-001 3801-004 0018 0020
bullbull 149_00l bullbull596-003
1526_005 1690-005
8 bullbull54_003 9339-00l
3109-005 3434-005
2228-002 2443-002
819-005 8983-005
4828_002 5236_002
1775-00 1925-004
1106-001 1180-001
4066-00 bullbull 3l9-004
0075 0030
5 718_003 681-003
2103_005 2516-005
1156-00Z 1380-002
4252-005 507-005
2986_00Z l534-002 1~g8 6279002
7344_002 2l09-004 2701-004
137-001 1575-001
s051-004 5 191-00
0035 7966-003 2930-005 160-002 5898-005 bullbull 086-002 1503-00 8 bullbull23-002 3097-00 1781-001 65bull 9- 004 000 9093-003 3345-00 1828-002 672-005 bullbull641-002 170700 9511-002 3bullbull97-00 1991-001 320-00 0045 0050
1022-002 1135-00Z
3761-00i 4177-00r
2053-00Z 2278-002
7551-005 8379-005
5197-00Z 575-002
1911-00 2116-00
1061-001 1171-001
3900-00 bullbull305-004
2203-001 2 bullbull17-001
8101-004 8 889-004
0060 13M-002 5011-00- 2728-002 100middot-00middot 6872-002 2528-00 139pound-001 5middot118-00 2850-001 1 048-003
0070 OORO 0090
1586-002 1h2-002 20l8-002
5848-005 6690-005 7537-005
3178-002 3629-002 bullbull 080-002
11 70-004 1l37-00middot 1505-004
799l-002 9116-002 10Z-001
2941-00 3l55-00 3770-00
161 4-001 1837-001 2060-001
59l6-00 657-004 7580-00bull
3287-001 3727-001 168-001
1209-00] 1037 1-003 1533-003
0100 0120
224_fl022715-002
8391-005 1013-00
bullbull5n-002 5435-002
1673-00 2012-00middot
1136-001 1362-001
bullbull 185-004 5021-00
2284_001 2732-001
840500bull 1006-003
4611-001 5500-001
1 696-003 2 02-003
0140 l17-002 119 1-004 6338-002 2357-004 1587-001 5861-004 l18Z-001 10172003 6393-001 2 353- 003 011i1) OlFJO o 00
l619-002
g~~gg~ 1l75-004 1568-004 1712-00
7241-002 815-00~9048-00
2707-004
~2~~8g 1812-001
~~~2ggl 6709-004 756-Og48432-0 4
36l1-001 4g81-oo 1bullbull 1 -001
103middot0-003 lII98-g03 16 7- Ol
7287-001 R18~-gol907 - 0
2 684-003
Ju~gn 0250 5603-002 2345-00 11l1-001 bull bullbullcmiddot-OOmiddot 2 828-001 1066-00l 5658-001 2107-003 1132middot000 41 91-003
Oloo 67~002 3046-00 1357-001 5540-on4 3392-001 1302-003 6785-001 250-003 1357middot000 506-003 0350 0middot00
7914_002 904_002
3932_004 5068_004
1583-001 1809-001
6842-004 8394-004
3957_001 bullbull 521-001
1557_00 1837-003
7913_001 901-001
3012-003 3bullbull99-003
1582000 1807middot000
5 920-003 6820-003
0450 0501)
1017-001 1110-001
653l_004 8412-00
20l5-001 2Z61-001
1027-003 12gt7-003
5g86-001 5 51-001
219-003 2503-00l
10P00O 1130000
4018-003 middot580003
2033000 Z258middot000
7 753-003 828-003
0550 1244-001 101f 0-003 2487-001 1537-003 6Z16-00l 2908-003 1243middot000 5192-003 2bullbull83middot000 9 15-003 0600 0650 0700
13r7-001 1bullbull70-001 15I1l-001
131S1-003 1757-003 2227-003
2713-001 2939-001 3165-001
1880-003 2Z97-003 2809-003
6780-001 7345-001 7910-001
3l76-00l l917-00l bullbull 554-00l
1356middot000 1bullbull68middot000 1581middot0011
5(167-003 66~60037bullbull 9-003
2709middot000 293bullbull000 3160-000
1middot08-002 1middot20n-002 l l 26-002
075n 1696-001 28e7-003 3391-001 3bullbull50-003 e475-001 5320-003 1694+000 8bullbull33-00l 3385middot000 1 465-002
0800 0850 0900
181)9-001 1922-001 2035-001
361Z-003 bullbull 669-00l 6122-003
3617-001 3843-001 4069-001
bullbull 217-003 5375-003 6870-003
900-001 9605-001 1017+000
6271-003 7bullbull94-003 9113-003
1807000 19200011 2033 +000
9r91-003 10102-002 1785002
3611middot000 3836+000 4062000
1622-002 1807-002 2 031-002
0950 1000
2148-001 2261-001
81 4O-OOl 1094-002
4295-001 4521-001
8929-003 11 77-002
1073000 1130000
1130-002 1426-00Z
2160011 225900011
152middot-002 1R41-002
4287+000 bullbull5130000
2 311-002 2 67 0-002
1100 74117-001 2002-002 4973-001 209-002 1243+000 2l68-002 248000 224-002 4964+000 3 136-002 1200 1300 14110
27)3-001 29~9_00l 315-001
l618-002 6319-002 1061-001
5 bullbull25-001 5878_001 6l311-001
3717-002 64i7-002 1072-001
1 356000 1469+000 1582+000
bullbull 017-000 6751-002 1107-001
Z710000 2936+000 316Z+000
bullbull 515-002 7290-002 1165-001
5415000 5866+000 6317+000
5509-002 e l68-OO2 1 281-001
1500 ll91-001 1713-001 6782-001 17C6-001 1 695+000 1763-001 3388+00U 1825-001 6768+000 i950-00l
Page 105
TABLE 10 ICO~TINUEO)
X 00030 X 0000 X 00050 )( 00060 )( bull 0middot0080 T P OSM u P OS U4 P OS U P OSM U P OSM u
11lt1 (TORR) (JOLE) (TORR) (JMOLEI (TORR) (JMOLE) ITORR) (JMOLEI (TORR) tJMOLE)
0000 t3116-001 803-00 2076-001 763middot-004 2967-001 1091-003 3966-001 1bullbull58-003 62bullbull-001 2 296-003 0001 0002 0003 000
1308-001 1315-001 1325-001 1339_001
bullbull811-00 bullbull83_00 bullbull872-004 bullbull925-00
2079-001 2085-001 2097-001 2113-001
76middot3-00middot 7668-00middot 7710-00middot 7769-00 4
2970-001 2 977-001 2990-001 3007-001
1092-003 109S-003 1099-003 1106-003
3969_001 3977_001 3990_001 bullbull 008_001
1bullbull59-003 1462-003 1bullbull67-003 1474-003
6247-001 6256-001 6270-001 6291-001
2 297-003 2 30 0-003 2 306-003 2 313-003
0006 1380-001 5074-00 2158-001 7935-1)0 4 3056-001 112-003 4060-001 1493-003 6348-001 20 33-003 0008 0middot010 0012 001middot
1middot5-00115112-001 1579_001 1665-001
5276-00 5523-004 5807-004 6122-00
222rOOl 229 -001 2387-001 2488-001
81 62-004 8445-004 8776-004 91 49-00
3123-001 3208-001 3308-001 3423-001
11middot8-003 11 80-003 121fo-003 12511-003
middot132-001 4223-001 middot332-001 bullbull 457_001
1519-003 1553-003 1593-003 1639-003
6 428-001 6 530-001 6652-001 fo795-001
2 36-003 2 401-003 2 4bull 6-003 2 498-003
0016 0018 0020 0025 0030
1707-001 1855-001 1957-001 2228-001 2513-001
6461-004 6821-004 71 96-00 8191-00 92middot1-00
2599-001 2718-001 28bullbull-001 3181-001 353-001
9557-004 99115-004 1046-003 1170-003 1303-003
3549-001 3686-001 3832-001 bullbull 228-001 658-001
1305-003 1355-003 1middot09-003 1555-003 1713-003
bullbull 597_001 bullbull 749_001 bullbull912-001 5360-001 5852_001
1690-003 176-003 1806-003 1971-003 21 52-003
6955-001 7132-001 732-001 78amp0-001 860-001
2551-003 2 623-003 2 693-003 2 890-003 3111-003
0035 000 005 0050 0060
2809-001 311 3-001 3middot22-001 3735-001 bullbull 371-001
1033-003 11 45-003 1258-003 1373-003 1607-003
3921-001 bullbull 3U-001 bullbull 712-001 5119-001 599-001
1bullbullmiddot2-003 1586-003 1733-003 1882-003 21 88-003
5112-001 558-001 6070-001 6567-001 758-001
1880-003 2053-003 2232-003 2415-003 2789-003
6376-001 6925_001 7bullbull92-001 8074-00l 9270-001
2345-003 2546-003 2755-003 2969-003 3bullbull 09-003
9110-001 9797-001 1051middot000 1125middot000 1279middot000
3350-003 3 602-003 3866-003 4138-003 bullbull r02-003
0070 0080 0090 0100 0120
50t5-001 565-001 6320-001 6 978-001 8301 001
18middot-003 2083-003 232-003 2567-003 305-003
6795-001 7650-001 8513-001 938ii-001 1113-000
2bullbull99-003 2813-003 31 31-003 3bullbullSo-n03 bullbull 095-003
8623 001 9678-001 107middotmiddot000 1182000 1399000
3171-003 3559_003 3951-003 437-003 5146-003
1050000 1175000 1301+000 14ii9000 1688000
3860-003 middot320-003 bullbull 785-003 5256-003 ~206-003
1 437000 1600middot000 1765000 1932+000 2272000
5286-003 SA83-003 6 49 1-003 7106-003 8 35-003
0140 9631-001 35bullbull-003 1289middot000 bullbull 73-003 1618000 5951-003 l9middot1J+000 71 67-003 2615middot000 9middotamp18-003 OlfoO 0180 0200 0250
IOCJ6middot000 1230middot000 136-000 1700middot000
bullbull 036-003 4531-003 5027-003 6277-003
1bullbull6~middot000 16bullbullmiddot000 1822+000 2268middot000
5396-003 6051-003 6709-003 8365-0(13
1838middot000 2059+000 2280middot000 2836middot000
6762-003 7577-003 8395-003 1045-002
2211middot000 2 bullbull75-000 274110011 3 bullbull0middot-000
81 34-003 9107-003 1middot008-002 125middot-002
2962middot000 3310middot000 3661middot000 452+000
)089-0021218-002 347-002 1673-002
0300 0350 0400 0bullbull50 0500
2036000 2373000 270000 3047000 33e-000
7542-003 8827-003 1014-002 1148-002 1287-002
2715+000 3163000 3611middot000 bullbull 060000 bullbull509000
100-002 1113-002 1345-002 1521-002 1701-002
3393000 3952000 bullbull512000 5072000 5632000
1253-002 1bullbull63-002 1676-002 1893-002 2114-002
middot072000 bullbull7410011 5411+000 608ii+000 6754000
1503-002 1753-002 2007-002 2264-002 2526-002
5421middot000 6315+000 7206middot000 8098000 8991middot000
2001-002 2 332-002 2667-002 3005-002 3 348-002
0550 3722middot000 1431-002 959-000 18116-002 6193000 2340-002 7426000 ~793-002 988000 3697-002 0600 0650 0700 0750
bullbull 060-000 4397middot000 4735-000 0073middot000
151lt002 1738-002 1906-002 20116-002
5bullbull08+000 5858middot000 6307middot000 6757middot000
2077-002 2275-002 2bullbull84-002 2705-002
675middot000 7315middot000 7877000 8bullbull39middot000
2512-002 2812-002 3061-002 3323-002
809111000 8771+000 9bullbull4middot000 1012middot001
3066-002 33middot7002 3637002 3940-002
1078-001 1167middot001 1257middot001 136middot001
bullbull 052-002 414-002 bullbull 186-002 IIln-002
0800 0850
5bullbull0000 5748000
2284-002 2510-002
7207middot000 7657000
295-(102 3212-002
9000+000 9562000
360-002 3912-002
1079001 11middot6001
4262002 4611-002
1middot36middot001 1526001
5575 002 6006-002
0900 0900 1000
6086middot000 6424+000 6762000
2775-002 3097_002 3bullbull97-002
8107000 8557000 9007000
3518-002 3881-002 323-002
1012001 1069+001 1125001
4260-002 466-002 517-002
1214001 1281001 138+001
5000-002 546002 5969-002
1615middot001 1705-001 1795+001
6middot77-002 7004-0027 610-002
1100 7bullbull38middot000 66-002 9907000 5554-002 1237001 6460-002 1bullbull83001 7365-002 197-001 9169-002 1200 1300
811middotmiddot0008790000
6501-002 9 bullbull3-002
1081001 117hOOI
7bullbull92-002 1052-001
1350001 1 462001
881-002 1159 001
1618001 1753001
9468-002 1266-001
2153+001 2333001
1144-001 1479-001
1middot00 1500
9466middot000 101middot001
1397-001 207-001
126hOOl 1351+001
1513-001 21 97-001
1575001 1687001
1628-001 2321-001
18811001 2023001
113-001 2bullbullmiddotmiddot-00
2512middot001 2692+001
1 973- 00 2 691-001
Page 106
TABLE 10 (CONTINUED)
It bull 00100 X bull 00150 X bull 00200 X bull O O4ljO X bull Ch0300
p 0514 U4 P OSM U4 POSH U4 POSH U4 P OSM U4 (I() ITORR) IJMOLE) (TORR) (JMOLEI nORR) IJMOLEI (TORR) (JMOLEI (TORR) IJMOLpound)
0000 8845-001 3252-003 1647+000 6056-003 2532+000 Q310-00J 3506+000 1289-002 4545+000 1671-002 0001 8848_001 3254-003 1647+000 1gt057-003 2532+000 9312 003 35060000 189-002 4546 0000 1 67 1-0020002 8811i8-001 3257-003 16480000 1gt061-003 2534+000 9316-003 35080000 1 bull 90-002 4547+000 1672-002 0003 8873-001 3263-003 1650+000 1gt068-003 2535+000 93gt3-003 3510+000 129 1-002 4549000 1 6n-002 00114 A8Q5-001 3271-003 165J+000 6077-003 2531hOOO 9333-003 3513+00u 1292-002 4552000 1674-002
0006 8957-001 3294-003 166U-000 6103-003 2546+000 9362-003 3521-000 1295-002 4561+000 1677-002 0008 q044-001 3325-003 1670+000 61 40-003 2557+000 Q403-003 3533-00U 1 bull 99-002 4574-000 1 682-002 0010 9154-001 3366-003 1683+000 61 87-003 2571-000 9454-003 35480 0011 1305-002 4590-000 1688-002 0012 92A8-001 3lt15-003 1698_000 6244-003 2588+000 9518-003 3567+000 1312-002 4610-000 1 695-002 001 4 Q1I44-001 31172-003 1716+000 6311-003 2 609-000 9592-003 3589_000 l3l0-002 4633+000 1104-002
0016 9621-001 3538-003 1737+000 6387-003 2632-000 9677-003 361 4-000 1329-002 4660-000 1 714-002 00)8 98]8-001 3610-003 1761000 6473-003 2658000 9774-003 364 ii000 1339-002 4691000 1 725-002 0010 1003-000 3689_003 1786+000 6568-003 2687+000 9880-003 3674000 1351-002 4725000 1 737-002 0025 104_000 3913_003 1861+000 6842-003 2772000 1019-002 3767000 1385-002 4824+000 1 77002 0030 11]3000 It167_003 1948+000 71 62-003 2872000 1056-002 3977000 1426-002 4943+000 19 19-002
0035 1209-000 11445-003 204imiddot000 7520-003 2 986+000 1098-001 4005+000 1473-002 508+000 1 869-002 0040 1iiQO+000 4743-003 2151-000 7911-003 3112000 1144-00 4147middot00U 1525-002 5238+000 1926 -0020045 1375000 5056-003 226i+000 8329-003 3248-000 1194-002 4302+000 1582-002 5409-000 1 989-002 0050 1464000 5382-003 238HOOO 8769-003 33911-000 12118-002 4469+000 1643-002 5594-000 2057-0020060 1648+000 6061-003 2639000 9703-003 3706+000 1363-002 483ii+000 1777-002 6001+000 2 207-002
0070 1841+000 6769-003 2908+000 10laquogt9-002 4042+000 1486-002 5227000 1922-002 6 448-000 2 37 1-002 OOM 2039000 7497-003 3187-000 1172-002 4395+000 1616-002 5645000 2076-002 6 927+000 2 547-002 0090 2241+000 8241-003 3476-000 1278-002 4761+000 1751-002 6083000 2237-002 7430-000 2732-002 0100 2446+000 8996-003 3771000 1387-002 5139+000 1890-002 653700U 2404-002 7954+000 2 925-002 0120 2864000 1053-002 4 37i+000 1609-002 5917000 2176-002 7479+000 2750-002 9050+000 3 328-002
0140 32A8~000 ]209-002 4993-000 1836-002 6719+000 2471-002 8455-000 3109-002 10 0 19+00 1 3 148-002 0160 371 7000 1367-002 5621-000 2067-002 7538-000 2772-002 945700U 3478-002 1152+001 4 235-002 Oleo 4149+000 1526_002 6257000 2301-002 8 4 011 +000 3091-002 1050001 3963-002 1260001 4634-002 0200 4584 000 1687-002 6897000 2537-002 9208+000 3387-002 1151001 4233-002 1379+001 5072-002 0250 5679000 2091-002 8516000 31 34-n02 1134_001 4172-002 1414 +001 5 bull 01-002 1amp91001 6219-002
0300 6780000 2499-002 1015001 3737-002 1349-001 4967-002 1680+001 1gt184-002 2008middot001 7 388-002 0350 7886000 2910-002 1179+001 4347-002 1567+001 5770-002 19iO-001 7]80-002 2329001 8 573-002 0 400 8995+000 33l5-002 134-001 496 1-002 1785+001 6581-002 2221-001 81 84-002 2652-001 9 769-0020 450 1011-001 374-002 1510-001 558 0-002 200lt-001 7398-00lt 249+001 91 97-002 2977001 1)98-001 0 500 1122001 41 68-002 1676-001 6205-002 2224+001 8222-002 2767001 1022-001 330001 1 219-001
0550 1233-001 4598-002 1842-001 6836-002 2 445-001 9052-002 304Z+001 1125-001 3632001 1 342-001 0600 1345001 5034_00i 2008 001 7473-002 2 666+001 9 890_002 331 7+001 1228_001 3961_001 1465-0010600 147001 5478-002 2175+001 81 19-002 2887001 1074-001 359Z_001 1333-001 4290-001 1590-001 0700 1568_001 5931-002 2342+001 8775-002 3108001 1159-001 3868_001 1439-001 4620+001 1r15-0010750 1 680+001 6398002 2509 +001 94middot5-002 3330001 1246_001 4144+001 15116-001 4951+001 1 1142-001 0800 1792001 6883-002 267amp-001 1013-001 3552-001 1335-001 4420+001 1(55-001 52111 +001 1 971 -001 0850 1914+001 7396-002 2843001 1085-001 3774+001 14n-001 4697+001 1767middot001 5613+001 2middot103-0010900 2015+001 7948-002 3010+001 1160-001 3996+001 1523-001 4974-001 1883-001 5944+001 ZZ39-001 0950 2127001 8557-002 3177+001 12112-001 4218001 1625-00] 5251+001 Cl004-001 6276-001 2 38 1-001 1000 2239 -001 92115-002 3344-001 1331-001 41141001 1734-001 5528-001 21 34-001 6608+001 2 531-001
1100 2463+001 1097-001 3679+001 1511 11-1101 4885+001 1987-001 6083001 2428-001 7272001 2 865-001 1200 26A7+001 1340001 401 4 001 1828-001 5331+001 2312-001 6638_001 2793-001 7937-001 3 27 0-001 1300 2911_001 1692_001 4349+001 2220-001 5776+001 2745-001 7194+001 3266-001 8603001 3 r84-0011400 3135001 2202-001 4684+001 2771-001 6222001 3337-001 7750+001 3899-001 9269001 4 1157-001 1500 339+001 2936001 501 9 001 3546-001 6667_001 4152-001 8306+001 11755-001 9935-001 5 354-001
Page 107
TABLf 10 (CONTINUED)
)I bull 00350 X bull 00400 X bull 00450 ~ bull 00500 X 0O5gt0
T P OM U4 POSH U4 P OSM U4 P OS U4 P OSM U4 (K) (TORRI CJMOLE) CTORRl IJMOLE) nOAA) (JMOLE) (TOAA) (JMOLEI (TORA) IJMOLEI
0000 0001
1]631+000 5631+000
2070 002 2071-002
6748+000 6749+000
2481-002 2482-002
7885+000 78116+000
2899-002 2900-002
9031+000 9034000
3321-002 3321-002
101 1hOOl 101A001
3 742- OO 3 73-002
0002 0On3 0004
5633000 563150000 5 618000
2071-002 2072_002 2073-002
6750000 6753+000 6756000
2482-002 2483-002 2484-002
7887000 7890+000 7894000
2900-002 2901-002 2902-002
90340011 90360011 9040+000
3322-002 3323002 3324-002
101Smiddot001 1018+001 1019001
3 743-002 3744- 002 3146-002
0006 5648000 2077-002 6766+000 2488-002 7904+000 2906-002 9051000 3328-002 1020+001 3 750-002 0008 0middot010 0012
56amp1+000 678+000 5699+000
2082-002 2088-002 2096-002
6780+000 6798+000 6820+000
2493-002 2500-002 2508-002
7918000 7937+000 7960+000
2912-002 2 9111-002 2927-002
9066 +000 9085 +000 9109+000
3333-002 3341-002 3349-002
1021+001 1middot023001 1026+001
3155-002 3763-002 3 772- 002
0014 7 4+000 2105-002 6846+000 2517-002 7987+000 2937-002 9137+000 3360-002 10029+001 3 782-002
0016 Oots 0020 0025 0030
5752000 5784+000 5 820+000 5 926000 6003+000
2115-002 2127-002 2140-002 2179-002 2226-002
6876+000 6909+000 6947+000 7058+000 7192+000
252R-002 2541-002 c554-002 2595-002 264-002
8018+000 8053000 8092+000 8Z08+000 8348000
29411-002 291-002 2976-002 30111-002 3070-002
9169000 9206000 924600U 9366000 951200U
3HI-002 3385-002 3400-002 3444-002 3498-002
1032+001 1036001 1040001 1052middot001 1068+001
3795-002 3809-002 10 11 24-002 3870-00~ 31i25-002
0035 6201000 2280-002 7348000 2702-002 8512+000 3130-002 9684+000 3061-002 1085001 399 1-002 0040 0045 0050
6368000 504+000 6755+000
2342-002 2410-002 2484-002
7526+000 772000 7940000
2767-002 2840-002 2919-002
8699+000 8908000 9137000
3199-002 327S-002 3360-002
98711+0011 1010001 1034+001
3633-002 3713-002 31101-002
1106001 11211+001 1154+001
4066-002 4149-002 4442-002
0060 7201+000 2648-002 8420000 3096-002 9649+000 354111-002 1088+001 4000-002 1210001 4450-002
0070 0090 0090 0100 0120
7695+000 9227+000 A792middot000 93R2+000 1062+001
2829-002 3025_002 3233-002 3450-002 3906-002
8956+000 9539000 1016+001 1081+001 121 9+001
3293-002 3507-002 3736-002 3975-002 4482-002
1022+001 1085001 1152001 1223001 1374001
3759-002 3990-002 4~3~-002 4498-002 5053-002
1149+001 1216+01)1 1288001 1365001 152t1+001
4225-002 4411-002 4731-002 5017-002 5~17-002
1275001 1346001 122middot001 1504001 1679+001
4 687-002 4 948-002 5 230-002 5530-002 6174-002
0140 11112+001 4385-002 1365001 5018-002 1534+001 5642-002 1702001 6257-002 1866001 61162-002 0160 0180
1339+001 1468 +001
4923-002 5397-002
1527001 1673+001
5615-002 6151-002
1112001 1875+001
6297-002 6894-002
1895001 2073001
61168-002 7625-002
2074001 2268+001
7626-002 amp341-002
0200 1605+001 5903-002 1828001 6723-002 2048+001 7530-002 2263+001 8322-002 2474001 9099-002 0250 1964001 7225-002 2234+001 8216-002 2499+001 9191-00lt 2759001 1015-001 3015001 1109-001
0300 0350
2331+001 2702001
8576-002 9947-002
2649001 3071+001
9746-002 11 30-001
2962001 3 434+001
1090-001 1264-001
3270001 3791+001
1203-001 1395-001
3573001 4142001
1 314-001 1l24-001
0400 0450
3078+001 3455001
133-0011273-001
3498+001 3927+001
1289-001 1447-001
3911+001 4393001
1441)-0011618-001
4319+001 4851+001
1590-001 1787-001
4720001 5303+001
1131-001 1 953-001
0500 3835001 1414-001 4359001 1607-001 4877+001 1797-001 53870001 1985-001 5891001 2 17 0-001
0550 4216+001 1556-001 4793+001 1769-001 5363+001 1979-001 5926001 2185-001 6482+001 2390-001 0600 4598+001 1700-001 5229+001 1931-001 5852+001 2161-001 64611+001 2387-001 7076+001 2 611-001 0650 0700
4991+001 5365001
1844-001 1989-001
5665001 6103+001
2095-001 2260-001
6342+001 6833+001
2344-001 2529-001
7011+001 7556001
2590-001 2795-001
7672001 A270middot001
2 833-001 3 057- 001
0750 5750001 2136-001 6541+001 2427-001 7325+001 2716-001 8102001 3001-001 9870001 hil93-001
0800 6135001 2285-001 6980+001 2596-001 7818+001 2904-001 8649001 3210-001 9471001 3512-001 0850 6520+001 2437-001 7420+001 2768-001 8312+001 3096-001 9196+001 3421-001 1007+002 343-001 0900 0950
6906+001 7292001
2593-001 2755_001
7860+001 8301+001
2944-001 31 26-001
8807+001 9302+001
3292-001 3494-001
9745+001 1029+002
337-001 3859-001
1068+002 1128002
3 979-001 4 22 1-001
1000 7679001 2925-001 8742+001 3316-001 9797+001 3704-001 1084002 4089-001 119900C 4471-001
1100 8453+001 3299-001 9625001 3730-001 1079+002 4158-001 1195002 4584-001 1309+002 5 006-00 1200 92t7+OOl 3745-001 1051+002 4216-001 1178+002 4685-001 1305002 5150001 1431002 5612-001 1300 1000+002 4299-001 1139+002 4811-001 1278+002 5320 001 1415002 5A25-001 1552002 63211-001 1400 1500
1078+002 1155002
5012-001 5949-001
1228+002 1317002
5564-001 6542-001
1377+002 1477+002
6114-001 732-001
1526+002 1637+002
6660-00 7718-001
1674+002 1795002
7 Z03-00 8 302-001
Page 108
TlBLE 10 (CONTINUED)
)( 00600 )( 00640 )( 00650 X bull 00700 X bull 00750
P OSM U4 P OSM U4 P OSM U4 P OSM U4 P 05104 U4 IK) tTOqR) (JMOLE) (TORR) (JMOLE) ClORR) (JMnLE) (TORR) (JMOLE) (TORR) tJMnL[)
0000 1132001 4161-002 1222001 4492-002 1244001 4574-00i 1354 001 4980-002 1462001 5 376- 002 0001 1132001 4161-002 1222001 4492-012 1244001 4575-00i 1354001 4980-002 1462001 5 376-002 0002 1132001 4162-002 1220001 4493-002 1244001 457S_002 1355001 4981-002 1 462001 5377-002 0003 1132001 4163-002 1222001 4494-002 1245001 4576-002 135S001 4982-002 1463middot001 5378-002 0004 1133001 4164-002 1223001 4496-002 1245001 4578-002 135S001 4q84-002 1463middot001 5380-002
0006 1134001 4169-002 1224001 4500-002 1246001 4582-002 1357001 4Q88-002 1 464001 5384-002 0008 1135001 41 75-002 1225001 4506-002 1248001 4088-002 1358001 4994-002 1466001 5 391-002 0010 1137 001 41 82-002 1228001 4514-002 1250001 4591gt-002 1360001 Sn02-002 1468001 5 399-002 001 2 1middot140001 41 9 1-002 1230001 4023-002 1253001 4606-002 1363001 5012-002 1471001 5+09-002 001 4 1143001 4202-002 1233001 4534-002 1256001 4617-002 1366001 S1)24-002 1 474001 5+21-002
0016 1146001 4215-002 1237001 4547-002 1259001 41gt30-002 1370001 5037-002 1478001 5434-002 001 8 1100001 4229-002 124hOOI 4562-002 1263001 4645-002 1374001 50S2-002 1 482001 5 450-002 0020 11S5001 4245-002 1245001 4578-002 1268001 4661-002 1379001 5069-002 1487001 5 467-002 0025 1167001 4293-002 1258001 4627-01)2 1281001 4710-002 1392001 5119-002 1501001 5 518-002 0030 111l13001 4350-002 1274001 4686-002 1297001 4769-002 1 409001 5180-002 151$001 558-002
0035 1201001 4418-002 1293001 4755-002 1316001 4839-002 1428001 S252-002 10538001 5 b55-002 0040 10222001 4495-002 1315001 4834-002 1338+001 4919-002 1451+001 5334-002 1561001 5 139-00shy0045 1246001 4582-002 1339001 4924-002 1362001 5008-002 1476001 5427-002 1587001 5middot M34-OO2 0050 1272001 4678-002 1366001 5023-002 1389001 5lOR-002 1504001 5529-002 1616001 5 94 0-002 0060 131001 4895-002 1427001 5247-002 1 451001 5334-002 1567001 5763-002 1681001 6 181-002
0070 1399001 5144-002 1497+001 5503-002 1S21001 5592-002 1640001 6031-002 1757001 6 459- 002 OOlllO 1474001 5418-002 1574001 5788-002 1599001 S880-002 1722001 6331-002 1841+001 6 770-002 0090 15155001 5716-002 1658+001 6098-002 1684+001 6192-002 1811001 o~58-g02 1934001 7110002 0100 1641+001 6033-002 1748001 6429-002 1175001 6527-00~ 1906+001 1008-002 2033middot001 7476-002 0120 18gt7+001 6720-002 1944001 71 47-002 1972+001 7252-002 211 4 001 7771-002 2251001 8 275-002
0140 2027001 7454-002 2153001 7918-002 2184001 8032-002 2338+001 8595-002 2486001 9 141-002 0160 2249+001 8271-002 2386001 8715-002 2~20middotOOI 8900-002 2587+001 9511-002 2148001 1011-001 0180 2459001 9042-002 2608+001 9590-002 2645001 9725-002 21126001 1039-001 3001001 1104-001 0200 26111001 9859-002 2843001 10~5-001 2 883001 1060-001 3079 001 11 32-001 3270001 1 202-001 0250 32t-5middot001 1201-001 3461+001 1273-001 3509+001 1291-001 3747001 1378-001 3979001 1 463- 001
0300 3869001 1423-001 4101001 1509-001 4159+001 1530-001 4442001 1634-001 4718001 1 735-001 0350 4486+001 1651-001 4757+001 1750-001 4824001 1775-001 515f)001 18lt16-001 5478001 2 015-001 0400 514001 1882_001 5424001 1996-001 5500001 2024-001 5880001 2164-001 6252001 2301-001 0450 5748001 2116-001 6098001 2245-001 6185001 2277-001 661 5001 2435_001 7037001 2 590-001 0500 6381001 2353-001 6778001 2497-001 6875001 2532-001 7356+001 2709-001 7829001 2883-001
0550 7030001 2591-001 7463+001 2750-001 7571001 2190-001 8103+001 2986-001 8627001 3178-001 0600 7677001 2832-001 8150+001 3006-001 8270001 3049-001 8854 001 3264-001 Q431+001 3476-001 0 650 11326001 3014-001 8843001 3264-001 8972001 3311-001 9609+001 3545-001 1middot024+002 3 777-001 0700 8977+001 331-001 9537001 3523-001 9676+001 3S74-001 10037002 3R28-001 1middot105002 4079-001 0750 9630001 3563-001 1023002 3785-001 1038+002 3840-001 1113+002 4111-001 1186002 4384-001
0800 1028+002 3811-001 1093002 4049-001 1109002 410B-001 1189002 4401-001 1268+002 4 69 1-001 0850 1094+002 4063-001 1163+002 4316-001 1180002 4379-001 1265002 4692-001 1350+002 5002-001 0900 1110+002 4318-001 1233+002 4581-001 1251+002 4654-001 1342002 4987-001 1432+002 5 317-001 0950 1226002 4580-001 1303+002 4865-001 1322+002 4936-001 1418002 5289001 1514002 5639-001 1000 1291002 4850-001 1373002 51 51-001 1394002 5226-001 1495002 5599-001 1596+002 5 969-001
1100 14raquo3+002 5425-001 151 4002 5758-001 1537002 5841-001 1649002 6255-001 1761002 6 665-001 1400 1506+002 6072-001 1655002 6431-001 1680002 6529-001 1803+002 6q82-001 1 926+002 7 433-001 1300 1688002 6828-001 1196+002 7226-001 1823002 7325-001 1958002 7B1 9-OO1 2091002 8 310-001 1400 1821+002 7743-001 1938002 81 74-001 1967middot002 8281-001 2112middot002 eH600 2257002 9 348-001 1500 1953002 8883-001 2019+002 9346-001 2111+002 9461-001 0267002 1004+000 2423002 1061+000
Page 109
TABLE 10 (CONTINUEO)
X 00800 X 00900 X 01000 X 01100 X 01200
p OS U4 P OS U4 P OSM U4 P OSM U4 P OSM U4 (K) (TORR) (JMOLE) (TORR) (JMOLE) (TORR) (JMOLEI (TORR) IJOLE) ltTORR) IJMOLE)
0000 1567middot001 5760middot002 1764 +001 6487-002 1944+001 7147-002 2102+001 7730-002 2237middot001 8 224-002 0001 1567+001 5760-002 1761H 001 6487-002 1944+001 7147-002 2103001 7730-002 2237middot001 8225-002 0002 1567+001 5761-002 1765+001 6488-002 1944middot001 714~-002 2103-001 7731-002 2237-001 8 226-002 0003 t567middot001 5762-002 176)middot001 64 89-002 1 945-001 7149-002 2103_001 7732-002 2238-001 8 227-002 0004 1568_001 5764_002 1765-001 6491-002 1 945001 7151-002 2104001 7734-002 2238-001 8 229-002
0006 1569middot001 5769-002 1767middot001 6496-002 1 946001 7156-002 2105-001 7 39-002 2240-001 8 234-002 0008 1571001 5775-002 1769001 6502-002 1948001 7163-002 2107-001 7746-002 2242-001 emiddot 242-0020010 1573-001 5784-002 1771-001 6511-002 1951-001 7172-002 2110-001 7756-002 2245-001 8252-002 0012 1 576001 5794-002 1774middot001 6522-002 1 954001 7183-002 211 3-001 7767-002 2248001 8e63-002 0014 1579001 5806-002 1777001 6535-002 1 957-001 7197-002 211 6 001 7781-002 2e52-001 8e78-002
0016 151l001 58eO-002 1781001 6549-002 1962001 7212-002 2121-001 7797-002 2256middot001 8294-002 001 8 1597001 5836-002 1786001 6566-002 1966001 7229-002 2126+001 7fl15-002 2261-001 8 312-002 0020 1592-001 5854-002 1791-001 )584-002 1971-001 7248-002 213hOOl 7e35-002 2267+001 e333-002 0025 1606+001 5906-002 1806middot001 6639-002 1987+001 7305-002 21 47 001 7894-002 2283-001 8394-002 0030 1604-001 5970-002 1824-001 )706-002 2006-001 7375-002 2167+001 7966-002 2304-001 8 468-002
0035 1644001 6045-002 1845middot001 6785-002 2028-001 7457-002 2190-001 8051-002 2328-001 8 557-002 0040 161110001 6132-002 1870-001 6876-002 2054001 7552-002 221 7-001 81 49-002 2357-001 8 667-0020045 1694001 6230-002 1898-001 697-002 2083-001 7658-002 2247_001 8260-002 2387001 8774-002 0050 1774001 6339-002 1929001 7092-002 2115-001 7777-002 22810001 8384-002 2 421-001 8 901-002 0060 1791-001 6587-002 2000-001 73 53-002 2190-001 11051-002 2358-001 8668-002 2501-001 195-002
0070 1869-001 6873-002 2082001 7656-002 2276001 8369-002 2448_001 9001-002 2595001 9 541-002 OOAO 1907001 7195-002 2175-001 7998-002 2374_001 87lt9-002 2551001 9378-002 2702-001 9 935-002 0090 2053_001 7548_002 2277-001 8374-002 2484001 9131-002 2666001 9flOO-002 2822-001 1038-001 0100 2116-001 7928-002 2389+001 8783-002 2 600-001 9561-002 2789-001 1025-001 2951+001 1085-001 0120 gt3R30001 8762-002 2633001 9682-002 2861+001 1052-001 3065001 1127-001 3243-001 1192-001
0140 2630001 9669-002 2901-001 1067-001 3149001 11M-001 3372+001 1gt40-001 3S67-001 i31l-001 0160 2904001 1068-001 3200001 11 77-001 3 471001 1276-001 3716001 1366-001 3931middot001 1445-001 OlRO 311-001 1166-001 3494001 1285-001 3790001 1394-001 4059_001 1492-001 bullbull298-001 1580-001 0200 3455-001 1270-001 3806-001 1399-001 4130001 1519-001 4426001 1627-001 4691middot001 1 12C-0010250 42r15middot001 15lt6-001 4635+001 1704-001 5036-001 1852-001 5 1 4060ll1 1988-1ll1 5744-001 2112-001
0300 4988001 1835001 5505middot001 2025-001 5991001 2203-001 6445+001 2370-001 86001 ~524-001 0350 5794001 2131-001 6403001 2355-001 6980001 2567-001 7523_001 2761-001 8030001 ~953-001 0400 6616001 2434-001 7321001 2694-001 7993001 2940-001 8629001 374-001 9230middot001 3 395-001 0450 7451001 2742-001 8254001 3037-001 9023-001 3320-001 9757001 3590-001 1045+002 3846- 0010500 8294001 3054-001 9198001 3386-001 1007002 3706-001 1090002 4012-001 1170002 4304-001
0550 9144001 3368middot001 1015-002 3738-001 1112002 4095-001 1206002 4439-001 1295002 4769-001 0600 9999+001 3685-001 1111-002 4094-001 1219002 4489-001 1322002 4870-001 1422middot002 5 238-001 0650 1086002 4005-001 1207002 4452-001 1326+002 4886-001 1440002 5306-001 1550002 5712-001 0700 1172002 4327-001 130bullbull 002 4813-001 1 433002 528~-001 1558_002 5744-001 1679002 6 189- 001 0750 121119002 4651-001 1402-002 51 76-001 1541+002 5688-001 1677002 61 81-001 10809002 6 671-001
0800 1346002 4978-001 1500002 5543-001 1650+002 6094-001 1796002 6632-001 1939-002 7156-001 0850 1433middot002 5309-001 1598+002 5913-001 1758-002 6504-001 1916002 7082-001 2069-002 7046-001 0900 1510002 5644-001 1696002 6288-001 1867002 6920-001 2036002 7538-001 2200002 S142-001 0950 1608002 5986-001 1794 002 6670-001 1977002 7342-001 2156002 8000-001 2331middot002 8 644-001 1000 1696002 6336-001 1893002 7060-001 2086002 7772-001 2276002 8470-001 2463002 9155-001
1100 1871002 7072-001 2091002 7877-001 2306002 8670-001 2518002 9450-001 2727002 1 022000 1200 2048+002 7881-001 2289-002 8767-001 2527002 9641-001 2761+002 1050000 2992002 1135000 1300 2224-002 8799-001 2487-002 9767-001 2747002 1072-000 3004 -002 1167-000 3258002 1260+000 1400 2401-002 9877 001 2686+002 1093-000 2969002 119000 324amp-002 1299-000 3524+002 1 400-000 1500 2578002 1118-000 21186+002 1231+000 3190-002 1343-000 3492_002 1454-000 3791-002 1564-000
Page 110
TABLE 10 (CONTINUED)
)( 01300 )( 01400 X bull 0middot1500 X bull 01600 X bull 01 800
P 0gt U4 P OS U4 P OS U4 P OSM U4 P OSM U4 (K) (TO~RI (JMOLE) (TORR) (JOLE) nORR) (JOLEI (TORR) (JMOLEI (TORR) tJOLE)
0300 7248001 2665-001 7594+001 2792-001 7902001 2905-001 8170+001 1003-001 8578001 3 152-001 0350 0 400
13501+001 9792001
3126-001 3601-001
8933001 1032002
3285-001 3794001
9 1 326+0111 1080+002
34ZQ-QU3971001
9677+QQl 1124002
3558-gU 41 33-001
1025002 1middot199+002
3 768-001 4 408-001
0450 1111002 408B-001 1173002 4315-001 1231002 4527-001 1284+002 47Z3-001 1318middot002 5061-001 0500 1245002 458Z-001 1317+002 4846-001 13a5+00z 5094-001 1448+002 53Z6-001 1middot56100Z 541-001
0550 13111+002 5084001 1463+00Z 5384-001 1541002 5669-001 161 4 002 5938-001 1747middot00Z 4Z7-001 0600 1519002 5591-001 161100Z 59Z9-001 1 699+00Z 6Z52-001 1782+002 6559-001 1936+002 71Z3-001 0650 0700 0750
1657+002 1796002 191700Z
6103_001 66Z0-001 71 41-001
1760+002 1910+00Z 2060middot00Z
6480-001 70 36-001 7596-001
1858+002 Z019+00Z Z180002
6841-001 7436-001 8035-001
195c002 2123+00Z Z29b00Z
71 87-001 7AZO-001 8459-001
21Z7+00Z Z319+002 251300Z
7 8Z7-OO1 8 539-001 9 258-001
0800 207700Z 7666-001 2Z1Z+00Z 81 61-001 Z343+00Z 8640-001 Z469002 9104-001 2709+00Z 9 982-001 0850 0 900 0950 1000
ZZ19+00Z 2361002 Z503+00Z 2646+002
8196-001 8731-001 9Z74-001 98Z6-001
2364middot00Z 2S17+00Z 2671+002 2824+002
8731-001 9307-001 9890-001 1048+000
Z506+002 Z670+00Z Z834+00Z 2999+002
9250-001 9867-001 1049+000 1112+000
264300Z Z91 8+00Z 2994+00Z 370middot00Z
9754-001 1041000 1108+000 11 75000
2 90Smiddot00Z 310Z+00Z 3300middot00Z 3499+002
1071000 1145+00( 1middot 2Z 0+ 000 1 296 000
1100 2932+00Z 1097+000 3133middot00Z 11 71middotOno 333000Z 1243+000 35Z4002 1314000 38911middot00Z 1 452 +000 1200 3Z19middot00Z 1219000 344002 1301+000 3 b63+00Z 1382+000 387900Z 1461+000 4300+00Z 1 61lmiddot000 1300 1400
3511+002 379600Z
135Z000 1501+000
375400Z 4066 +002
14Z000 1599+000
399700Z 4331+00Z
1531+00n 1697+000
4236+002 4594+00Z
1619+000 1793+000
4702+002 S107+00i
1 790 000 1 98 1000
1500 4086+002 1672000 4378002 1779+000 4667002 1885+000 4952002 1990000 551Z+002 2 195000
TABLE 10 (CONTINUED)
)( 02000 X nZ250 X 02500 X 0Z7SO X bull 03000
p OS U4 P OSM U4 P OS U4 P OS U4 P OS U4 (K) (TORRI (JMOLE) (TORRI eJMOLE) (TORR) (JMOLEI eTORR) (JMOLE) (TORRI IJOLEl
0300 8807001 3236-001 88Z1+001 3240-001 8510001 3124-001 7f4b+001 2878-001 6801+001 2 493-001 0350 1064middot002 3910-001 108~+00Z 3987-001 1074middot00Z 394Z-001 1026+002 3766-001 9409+001 3449-001 0400 0450 0500
IZII)6+00Z1453+00Z 16-6+00Z
4614-001 5341-001 6086-001
1Z98middot00Z 1519+00Z 1746+00Z
4770-001 5581-001 6414-001
1308+002 155Z+00Z 18Z+QQZ
4803-001 5697-001 ~618-QOl
IZ82+002 1548+00Z 18Z3+00Z
4704-001 5681-001 690-001
1217+00Z 1506+00Z 1805002
4464-001 55Z3-001 6 619-001
0550 18I)Z+002 6846-001 1977-002 7Z65-001 Z058+00Z 7561-001 Z104+002 7724-001 2111+002 145-001 0600 0650 0700 0750
Z071+00Z 2Z113+00Z 2491-00Z Z713+00Z
7617-001 8399~001 9189-001 9987-001
Z212+002 Z450-002 Z691+00Z 2934+00Z
81 31-001 9009-001 9898-001 1080000
Z319+002 25114+00Z Z85Z+002 3123+002
8521-001 9496-001 1048+000 1148+000
Z391+002 Z683_00Z Z978+002 3Z7600Z
8779-001 9-51001 1094+000 1204000
Z425middot00Z Z743+002 3066+00Z 3393+002
11895-001 1 007 -000 1 1Z5 +OOO 1246+000
0800 0850 0900 0950 1000
29~0middot00Z 3148+00Z 3368+00Z 3589+002 3810middot00Z
1079+001) 1161+000 1243-000 13Z6-000 1410-000
3179002 34Z6+002 3674+002 3923+00Z 4173+00Z
1110000 IZ6Z+000 1354 +000 1449+000 1543+000
3396+00Z 3 671+00Z 3948+00Z 42Z6+002 4505+00Z
1Z49000 13H+000 1454+000 1558+000 1664+000
3571hOOZ 388200Z 4188_00Z 4495+00Z 4805+002
1315000 1428+000 1541000 1656 +000 1772+000
37Z3+00Z 4056-00Z 439Z+00 41 47Z9+002 5069+00Z
1 368000 1 49 1+000 1 615000 1 74 1+000 10 868+000
1100 4256+002 158Z+000 4677+00Z 1736+000 5068+002 1879+000 54Z8+00Z Z010000 0753+00Z ZIZ8+000 IZ00 1300 1400
4703+002 5153+002 5605+00Z
1763+000 1955+000 Z164000
5184-002 5693+002 6Z0 4+00Z
1939+000 ZI12middotOQO Z383+000
5635+00Z 6Z04+00Z 6776+00Z
Z103+000 Z339+000 Z592-000
6055+00Z 6686_002 7320middot00Z
Z256-000 ZSI5+000 Z790+000
6 443middot00Z 7137+00Z 7834+00Z
2 396 +000 2middot b78 +000 Z976+000
1500 605 7 -002 2395+000 6717+002 Z637+000 7351+00Z Z86+000 7957+002 3089+000 8535+002 3 Z98 -0OO
Page 111
TABLE 11
THE SPECIFIC HEAT 0 THE TOTAL HE3 - HE4 ~OLUTION
C IJMOLE-I()
TX 01001 00002 00005 00010 00020 00030 00040 00050 00060 00080
(I()
0000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 0002 0003
6509-004 949_004 1066_003
8928_004 1516_003 1853_003
1254_003 2402_003 3316_003
1593-003 3139_003 4514-003
2016_003 4010_003 5956_003
2314-003 4613_003 6882_003
255it_003 5094_003 1112-003
215-003 S50_003 8 I29-003
2933-003 5858_003 8168_003
3239-003 Amiddot12-003 9 693-003
0004 1124-003 2040-003 3910_003 5828_003 1821-003 9101_003 1010-002 093-002 1166_002 i290-002
0006 1171-003 2221-003 4180-003 1103-003 1115-002 13l9-002 1489_002 1620-002 113l-002 1 923-002 0middot008 lol01-003 2middot315-003 5l1 4-003 8924-003 1382-002 1100-002 1932-00l 2119-002 2217-002 2 54 1-002 OOlO 0012 0014
124-003 t 222-003 12l1-003
2middot364-003 2394-003 2middot414middot003
5413-003 5640-003 5155-003
9121-003 1028-002 1067-00l
1586-002 1141-002 1860-00l
2010-002 2263-002 2468-002
2327-002 2666-002 2951-002
pS18-002 li990-00l 3349-00l
2790-002 3259-002 3683-002
~136-002 3middot 699- OO 4224-002
0016 0018 0020 0Ol5 0030
1231-003 1234-003 1236_003 240-003 1243_003
2429-003 2439_003 2447_003 2461-003 2470-003
5838-003 5899_003 5941_003 6021_003 6071-003
1091-002 1119-002 1136-002 11 66-002 1185-002
1952-002 20l4-002 20U-00l 2187-002 2255_002
2635-002 2171-00l 2883_002 3088-00l 3226_002
31 92-002 3395 _O0l 3560_002 3888_002 4l09_00l
110 6511-002 3926-002 4156-002 603-002 4917-002
4056-002 4384-002 4612-002 5245-002 5659-002
4 (07-00l 5145-002 5 538-002 6353-002 6 913-002
0035 1245-003 2477-003 6111-003 11 97-002 2301-002 3321-00l 4I68-002 51 46-002 5965-002 447-002 0040 1248-003 2483-003 6136-003 1206-002 2334-002 3392-002 4385-002 5319-002 6198-002 7814-002 0045 0050
1251-003 1254-003
2487-003 2492-003
6155-003 6170-003
121]-002 1218-002
2359-002 l379-002
3445-002 3486-002
4414-002 4~43-002
545 t-002 554-002
6319-002 6523-002
8104-002 bullbull l38-002
0060 1262-003 2503-003 6196-003 1226-002 2406-002 3545-002 4644-002 5706-002 6133-002 8687-002
0010 1273-003 2515-003 6218-003 1232-002 2426-002 3586-002 471 4-002 911-002 6818-002 8929-002 0080 0090
1287-003 1305-003
2530-003 2549_003
6240-003 6264-003
1236-002 1241-002
2440-002 2451-002
3615-00~ 3637-002
4763_002 4S01-002
5886-002 lJ9 43-002
6983-002 7063-002
9 107-002 9 24 1-002
0100 0120
1328-003 13S1-003
2572_003 2632_003
6291-003 6356_00 3
1245-002 1253-002
2460_002 2476_002
3655_002 3683-002
411131-002 4875_002
5987-002 6053-002
1125-002 7215-002
346-002 9 498-002
0140 1471-003 2716-003 6444-003 1263-00l 2 491-002 3106-002 4910-002 Cmiddot101-002 7280-002 605-002 0160 0180 0200 0250
1middot581-003 17~3-003 1900-003 2523-003
2827-003 2969-003 3146-003 3710-003
6557-003 6101-003 6879-003 7505-003
1215-002 1290-002 1309-002 1372-002
2507-002 2524-002 2544-002 2 611-002
3128-002 3749-002 3773-002 3844-002
4939-002 4966-002 4994-002 5073-002
61 40-002 70331-002 615-002 7315-002 ~208-002 1415-002 6196-002 1514-002
9middot85-002 9 751-002 808-00l 9 935-002
0300 3453-003 4699-003 8435-003 1465-002 2106-002 3943-002 5176_002 6404-002 7629-002 1 007-001 0350 0400
4150-003 6415-003
5996-003 1122-003
9733-003 1146-002
1595-002 1168-002
2831-002 30ll-002
4076-002 4251-002
5311-002 548ti_002
6544-002 6723-002
7713-002 1955-002
t022-001 1 041-001
0450 8691-003 9931-003 1367-002 1990-002 3233-002 4474-002 5712_002 6949-002 8183-002 1065-001 0500 1146-002 1210-002 1644-002 2266-002 3510-002 4751-002 5991_002 7228-002 8464_002 1093-001
0550 14114-002 1608-002 1982-002 2604-002 3848-002 50At-002 632-002 715611-002 8804-002 i127-001 0600 0650 0100 0750
1898-002 2563-002 3694-002 5612-002
l022-00l 2688-002 3819-002 5736-002
2396-002 3061-002 4192-002 6109-002
3018-002 3683-002 4813-002 6729-002
4261-002 4 926-002 6055-002 7969-002
5503-002 6167-002 7296-002 9208-002
6743-002 1407-002 8535-002 1045-001
7982-002 86411)-002 9714-002 11611-001
9220-002 9884-002 10101-001 10 292-00 1
1169-001 1236-001 348-001 1539-001
0800 8718-002 8842-002 9214-002 9833-002 1107-001 1231-001 1354-001 1418-001 1601-001 1847- 001 0850 0900 0950
10346-001 2031-001 2970-001
1359_001 2043_001 l982001
1396-001 2080-001 3019-001
1457-001 21 41-001 3080-001
1581001 2264_001 3201-001
1704-001 2387-001 33l3-001
1e21-OO1 2509-001 3444_001
195 0-001 2631-001 3566-001
l073-001 2754-001 3687-001
2 318-001 2 998-001 3930-001
1000 4203-001 42lS-00l 4252-001 4312-001 4432-001 4553-001 4173_001 193-001 4913-001 5153-001
1100 7106-001 7718-001 7153-001 7812-001 1929-001 8046-001 8162-001 8middot279-001 8396-001 8 629-001 1200 1292+000 1293+000 1296+000 1302+000 1313+000 1324+000 1335000 1346+000 1357+000 1380+000 10300 1400
2046+000 3115+000
2047middot000 3116+000
2050+000 3119+000
2055+000 3124+000
2066000 3133middot000
2076+000 3142+000
2087+000 3152000
raquo097+000 31 61000
2107+000 3170+000
2 128+000 3189+000
1500 41532+000 4533middot000 4535middot000 4539+000 4541+000 4555+000 4063+000 4middot11+000 4579+000 4595+000
Page 112
TAIR 11 (CONTINuEDI
C (JOLE-IltI
011100 00130 00200 00250 00300 00350 00400 00450 00500 00550T~ 110
0000 0000middot000 II 000000 00011middot000 0000middot000 0000middot000 0000middot000 0000000 0middot000middot000 0000000 0000middot000 0001 3~00middot003 4035003 4410003 484 3003 5115-003 5415-003 515-003 1009-003 6250-003 6471-003 0002 69CJ5003 8067_003 8937003 9685003 1035_002 1095_002 11 511-002 1202-002 1250_002 1295-002 0003 1048-002 209_002 1340-002 1452-002 1552002 1642-002 112S_002 11102-002 1814-002 1943- 002 0004 13CJ5_002 1611_002 1186_002 1935002 2068_002 2189_002 2299002 2402_002 2499_002 2 590-002
0006 2084-062 2410-002 2614-002 2899-002 3099-002 3280-002 3441-002 3601002 3746-002 3 1t83-002 0008 2160-002 202-002 3556-002 3858-002 4126-002 43611-002 4591 -002 41 91-002 4991-002 5114-002 0010 3419-002 30982-002 4430-002 4811-002 5148-002 5452-002 5131-002 5990-002 6233-002 emiddot461-002 0012 4054-002 4148-002 5294-002 5156-002 6163-002 6529-002 6866-002 11111-002 1410-002 1745-002 0014 4659-002 5495-002 6144_002 6690-002 7169-002 7600-002 7994_002 8360-002 8702-002 025-002
0016 52lt6-002 6219-002 6918_002 1611-002 8165-002 8661-002 9115-002 953-002 9928002 1 030-001 0018 5156-002 915-002 1792-002 8517-002 9148middot002 9112-002 1023-001 1070-001 1115-001 1middot157-001 0020 6243-002 1518_002 8582_002 9405-002 1012-001 1015-001 11 33_001 1 86-001 1236001 1282-001 0025 72111-002 9085-002 1043-001 11 53-001 1246middot001 1328-001 140J-001 1471-001 1534-001 1593-001 0030 8102-002 1036-001 1209-001 1348-001 1 466_001 1569_001 1662_001 1146-001 1824-001 1 891-001
0035 a150-002 11 42-001 1352-001 1524-001 1668-001 1795-001 1908-001 2middot010-001 2104-001 2191-001 0040 9264-002 IUI-00l 1416-001 1619-001 1853-001 2004-001 237-001 2259-001 2311-001 2 4 14-001 0045 9616-002 1305-001 1582-001 1816-001 2017-001 2194-001 2]51-001 2 0493-001 2623-001 2 143-001 0050 1001-001 1middot361-001 1614-001 1936-001 2164-001 2366-001 2541 -001 2710-001 2860-001 2 997-001 0060 1052-001 1464-001 1821-001 2134-001 2412-001 2661-001 2886-001 092-001 3282-001 ]457-001
0070 1088-001 534_001 1931-001 2287-001 2608-001 2899-001 31 66-001 412-001 3640-001 31153-001 0080 10114-001 1587-001 2015-001 2406-001 2764-001 3093-001 3397_001 680-001 3943-001 4- 190-001 0090 1134-001 1628_001 2081-001 2500-001 2889-001 3250-001 3587_001 3903-001 4199-001 4 479-001 0100 1150-001 660-001 2134-001 2576-001 2990-001 3379-001 3745-001 4090-001 4416-001 4 125-001 0120 1173-001 1707_001 2212-001 2691-001 3145-001 3571-001 3988_001 4381-001 4756-001 5115 001
0140 1188-001 1740-001 2267-001 2771-001 3255-001 3119-001 41 65-001 4593-001 5007-001 5 405-001 0160 1200-001 1764-001 2307-001 28l1-001 3336-001 38Z5-001 4298-001 4755-001 5197-001 15 627-001 0180 1210-001 783-001 2338-001 2816-001 3398-001 3906-001 4399_001 4880-001 5347-001 SJJ01-001 0200 10217-001 1797-001 2362-001 2912-011 3 447-001 3970-001 4480-001 4977-001 5464-001 Smiddot940-001 0250 1234-001 1826-001 2406-001 2976-001 3535-001 4083-001 4123-001 51 52-001 5673-001 6185-001
0300 1249-001 1848-001 2439-001 3020-001 3594-001 4160-001 471 7001 ~26R-00I 5811-001 6 347-001 0350 1266-001 810-001 2467-001 3057001 3640-001 4217-001 4788-001 5352-001 5911-001 6 4 64-001 0400 1286_001 1893_001 2495_001 309 1-001 3681_001 4266_001 41146_001 5420-001 5990-001 6554001 0450 1310001 1920_001 2525_001 3125-001 3 720_001 4311_001 4891_001 5479-001 6057_001 6630-001 0500 1339_001 1951_001 2558001 31 61_001 3160_001 4356_001 4947_001 5535-001 6119-001 6 b99-001
0550 1374-001 1987-001 2596-001 3202-001 3804-001 4402-001 4998_001 111590-001 6179-001 6764-001 0600 1416-001 2030-001 2640-001 3248-001 3852-001 4454-001 5052-001 5648-001 6240-001 6 830- 001 0650 1482-001 2097-001 2709-001 3318-001 3924-001 4527-001 5128-001 5726-001 6322-001 6 915-001 0100 1middot595-001 2210-001 2822-001 3432-001 4039-001 4644-001 5246-001 5846-001 6444-001 1040-001 0750 10185-001 2400-001 3012-001 3622-001 4230-001 4835-001 5439-001 6040-001 6639-001 7236-001
0800 20CJ3-001 2707-001 3318-001 3928-001 4535-001 5140-001 5744_001 6345-001 6945-001 7 542-001 0850 2564-001 3175-001 3185-001 4393-001 4999-001 5603-001 6205-001 806-001 1405-001 8002-001 0900 3242-001 3851_001 4458-001 5063-001 5666-001 6268-001 6868_001 1466-001 8063-001 8659-001 0950 4112-001 4716-001 5379-001 5980-001 6580-001 7178-001 7714-001 111middot369-001 8962-001 9554-001 1000 5393-001 992001 6589-001 1184-001 7178-001 8371-001 8962-001 9552-001 1014000 1 073000
1100 8162-001 9444-001 1002middot000 1060000 1118middot000 1176middot000 1233000 1291000 1348+000 1405000 1200 1402000 14580000 1513000 1568000 1624000 1679+000 1734000 1789middot000 1844000 i 898middot000 1300 2149middot000 2201000 2253middot000 2304middot000 2356000 2407000 2459000 2510middot000 2561middot000 2 612000 1400 3208000 3254000 3301middot000 3347000 3393000 3440000 3486000 3S32middot000 3518middot000 3 623000 1500 4611middot000 4650000 4690000 4729middot000 4168middot000 48070000 4846000 488middot000 4924middot000 bullbull 963middot000
Page 113
TABLE 11 (CONTINUE)
C IJMOLE IO
0 00600 00640 00650 00700 00750 00800 OOYOO 01000 011 00 01i00
00
0000 00110+000 (1000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0middot000+000 0000+000 0000+000 0001 6693-003 6858_003 6899_003 7096-003 7285-003 7467_003 71114_003 bullbull 139-003 8447-003 8 74 0-003 000i 1339-002 137i-002 1380-00l 1419-002 1 1057-002 1493-002 1563_0(12 628-002 168Q-00l 148-002 0003 200 8_002 2057_002 2069_00 2 2128-00i 21115_00i 224O_OOi 2344_002 2441-002 2534_002 2 622-002 0004 i676_00i 2743_002 2759-002 2838-002 29 13_002 2986_002 3J2amp-002 3255-002 3378-002 3495-002
0006 4013-002 4112-002 4136-00l 42amp5-002 4369-00i 4478-002 4 86-002 4e81-002 5066-002 Si42-002 0008 5347-002 5480-002 5512-002 5670-002 58ii-002 5968-002 6i46-00i 650-002 6753-002 6988-002 0010 6679-002 845-002 6885-002 7083-002 1273-002 7456-002 7803- 002 11130-002 8438-002 8middot732-002 0012 8006-00i 1I206-00i 8255-002 8493-00i 8722-002 8941-002 9359-002 Q S1-OO2 1012-001 1047-001 0014 9330-002 9564-00i 9621-00i 9819-002 1017-001 1042-001 1091-001 11 37-001 10180-001 1 22 1-001
0016 10t5-001 1092-001 1098_001 11 30-001 1161-001 1190-001 1246_001 loi9s-001 1 348-001 1 395-001 0018 1196-001 1226_001 12310-001 1270-001 1304-001 1337-001 1400-001 1459-001 -515-001 1568-001 0020 1327_001 1360 001 1369 001 1409-001 1 447_001 1484_001 1554_001 1620-001 168i-001 1 741 - 001 0025 1649_001 1692-001 1703-001 1753-001 1802-001 1849-001 1937- 001 iOiO-OOl i098-001 2172-001 0030 19M-00I i018-001 i030-001 209i-OOl iH51-001 ii08-001 i3IS-001 i415-001 i510-001 2 599-001
0035 2i73-001 2336-00 i351-001 i4i4-001 i494-001 i561-001 i89-001 2A06-001 i917-001 3023-001 0040 i570-001 i6103-001 i661-001 i747-001 28i9-001 i901-001 3054_001 3191-001 3320-001 3441-001 0045 2855-001 2939-001 2960-001 3059-001 3154-001 3243-001 3412-001 middot569-001 3715-001 3 854-001 0050 3125-001 3222-001 3245-001 3359-001 3466-001 3569-001 3760-001 393A-00I 4103-001 4 259-001 0060 3621-001 3744-001 3173-001 3916-001 10052-001 4181-001 442l-001 4644-001 4851-001 SOH-OOI
0070 40111-001 420i-001 4i38-OO1 4414-001 4581-001 4739-001 5032_001 530i-00 5553-001 5 787-001 0080 443-001 45-001 4642-001 4850-001 5047-001 5235-001 5086_001 5908-001 6204-001 6 1081-001 0090 4743-001 4944_001 4993-001 5i31-001 5458_001 5674_001 6080-001 0454-001 6802-001 1126-001 0100 501 8-001 5242 001 5297_001 5563-001 5818_001 6062-001 6020_001 6946-001 7342-001 7 13-001 0120 5459_001 50724_001 5789_001 6106-001 6 411-001 6705_001 7i6~_01)1 7782-001 8270-001 8 31-001
0140 5790-001 61189-001 616i-001 6S21-001 6869-001 7206-001 7848_001 8454-001 9026-001 569-001 0middot160 6044-001 6369-001 6449-001 6843-0111 7226-001 7599-001 831 4-001 8994-001 9641-001 1 026-0011 0180 6i44-001 6590-001 6676-001 7098-001 7509-001 7911-001 868amp-001 9-431-001 1014000 1 082+0011 0i00 6405-0111 6769-001 6859-001 7303-001 7739-001 8165-001 8Q9J-OOI -789-0 0 l 1056+000 1129+1100 02511 6689-001 7086-001 7184-001 7673-001 8154-001 8626-001 9S5U-ODI 1045+000 1132+0110 1216+000
0300 6877-001 7295-001 7399-001 7915-001 8 425-1101 8929-001 9lt11 9-001 1089+1100 1183+0110 1 276+000 0350 7011-001 7444_001 7552001 8088-001 8619-0111 9145-001 1018+000 11211+000 1ii0-DOO 1 318+000 11400 711 4-001 7559_001 7669-001 8220-001 8766-1101 9308-001 1038+000 11 43+000 1247+000 t 349 +ODO 0450 7i00-ODl 7653_001 7765_1101 83i7-001 8885_001 9438_001 1054 +0011 1162+000 1~269000 1 374 +000 11500 7276-001 7735-0111 7849-0111 8419-001 8985_0111 9549_001 1061+0(10 11 77+000 1286+0110 1 394+000
0550 7347-0111 7811-001 1920-001 8503-001 9076-001 9647-001 1078 -01111 1190000 1301+0011 411 +000 0600 7417-001 7885-1101 8001 001 8583-1101 9162-001 9739-1101 1088+11110 1middot202+000 1314+1100 4i6+000 0650 7SDI-001 7976-001 80910-001 8679-0111 9263-001 9844-1101 10 100+11110 1215+000 13i8+00D 1441+000 07011 76]3-001 8106-1101 8224-001 8813-001 9400-001 9985-001 111 5+000 1(31)+000 1345+0110 1 459+000 0750 7middot831-001 8306-1101 8424-001 9015-001 96115-001 101119+1100 1136+000 1middot252+000 1368+000 1482+0011
08110 81~8-001 8614_11111 873i-001 9325-1101 9915-0111 1050+000 1168+000 1284+000 1400-000 515+0011 118511 11laquo97_001 91173_1101 9191-11111 9183-0111 11137+11110 111960110 121 4000 1330+11110 1446+1100 1 562+0011 0900 9i5i-OD1 9726-001 9845-001 1044+0110 1102+11110 1161+000 1218000 1395+0110 1511000 6i6+000 0950 101114+0011 11162+000 1073+111111 11 32+0011 1191+1100 1249+000 1366+000 14820011 1598+000 bull fl3+000 1000 1131+0110 11780011 1190-000 1248+1100 1306+000 1364000 1480+0110 11595+000 1710+000 1 824+0011
1100 14(12+0011 1508+1100 151 9+1100 1576+01111 1633+0011 1689+000 180i+QOO 1914+11110 2026+000 2138+000 121111 1953+000 1997+1100 21101+11110 20tli+DDO 2116000 i170+DDO iZ79_DDO 2386+0011 2494+11011 ZbOl+QOQ 103011 2663-1100 2704+11011 2114+000 i7b5+00Q 2816-000 2866+000 2961_11110 306e+000 3168+000 3 268+000 141111 369+11110 37116-000 3715+1100 3760+000 3806+000 3851+000 3942+11011 40 32+000 4122+111111 4 212+0011 15110 5002+000 51133+000 5041+0011 5079-000 5118+ 000 5156+0011 5233+0011 ~309+QOQ 5386+000 5 46i+ODO
Page 114
TABLE 11 ltCONTINUED)
C IJMOLEmiddotIO
01300 01400 01500 01600 01800 02000 02250 02500 02150 03000~ (I( )
0000 0000+000 0000+000 0000+000 0000+000 0000middot000 0000+000 0000+000 0000middot000 0000+000 0000+000 0001 9020003 9288_003 9547003 97n-003 1027-002 1072002 11 20_002 1177-002 1225-002 1i72-002 0002 1804_002 1158_002 1909_002 1959_002 2055_002 2145_002 2252_002 2353-002 2450_002 2 544-002 0003 2706_002 2786_002 2864_002 2939_002 3082_002 3217002 3378_002 3530_002 3676_002 3amp16002 0004 3607_002 3715_002 381 8002 3918_002 4109002 4289_002 4503_002 4706_002 4901_002 15 088002
0006 5410-002 5571middot002 5727-002 5817-002 6163-002 6434-002 6154_002 7059-002 7350-002 7 03 1-002 0008 7212-002 7427-002 7634middot002 7834-002 8216middot002 8577-002 9005-002 9411-002 9800-002 1011-001 0010 9012-002 9281-002 9540-002 9790-002 1027-001 10072-001 1125-001 1middotP6-001 1225-001 1272-001 0012 1QIH-OQl 1middot113-001 1144-001 1175-001 1232-001 1286-001 135U-OOI 1middot411-001 147 0-001 1 526- 001 0014 1middot261-001 1298-001 1335-001 1370-001 1 437-001 1500-001 1575-001 10646-001 11 14-001 1 180-001
0016 1440-001 1483_001 1525-001 1565-001 1641-001 1714-001 1799_001 1881-001 1959-001 2034-001 0018 161 9-001 1668_001 174-001 1760-001 184tgt-001 1927-001 2024-001 215-001 2203-001 2 287-001 0020 11lt)8001 1852_001 1904-001 1954_001 2050-001 2141_001 2248 001 2350 001 2447-001 2 54 1-001 0025 2243-001 2311-001 2376_001 2439-001 2559-001 2673-001 280 7001 2935-001 3056 001 3174-001
0030 26A5-001 2707_001 2846_001 2921-001 3066001 3203_001 336-001 351A-00l 3664_001 3 8OS-001
0035 3123-001 3219-001 3312-001 3401-001 3570-001 3730-001 3919-001 4094-001 4270-001 4 435-001 0040 3557-001 3668-001 3774-001 3876-001 4071-001 4254-001 4471-001 4677-001 4873-001 5062-001 0045 39A5-001 4111-001 4231-001 4347-001 4568-001 4775-001 502U-001 5252-001 5474-001 5 687-001 0050 4407-001 4548_001 4683-001 4813-001 5060-001 5292-001 5560-001 1125-001 6072-001 6309-001 0060 5227-001 5401-001 5567-001 5726-001 6028-001 6310-001 6643-001 6 951-001 1256-001 7542-001
0010 6008-001 218_001 6417-001 6608-001 6 968-001 7304-001 7 98_0111 A06lt)-001 8421-001 8 759 001 0080 6743-001 6991-001 7220-001 7451-001 7874-001 8267-001 8726001 91 56-001 9565middot001 9955-001 0090 1430-001 7716_001 7988001 8249-001 8738_001 9192-001 9120-001 1021+000 1068+000 1 113 +000 0100 8062-001 8392-001 8704-001 9000-001 9551-001 1008000 1068000 124+000 1177+000 lc27000 0120 lt)17 001 9580_001 9914-001 1035+000 1106+000 117+000 1246 +000 1316+000 1382000 1444+000
01 40 1008+000 1058+000 1105+000 1150+000 loc35+000 1314+000 1406+000 1491+000 1570+000 645+000 0160 1085+000 1141middot000 1195+000 1247+000 1346+000 1438+000 11146000 1740+000 829+000646+000 0180 1148+000 1211+000 1272middot000 1330+000 11141+000 1546+000 168+000 1783+000 1891+000 1994+000 0200 1201+000 1269+000 1330+000 1400+000 1523+000 1639+000 1176+000 1904+000 2026+000 2141middot000 0250 1299+000 1379+000 1457+000 1534+000 1681+000 1821middot000 1lt)89+000 247+000 2299+000 2 444+000
0300 1366+000 1454+000 1541+000 1626+000 1791+000 19H+000 21 42 +000 325+000 2502+000 2 671+000 0350 141 4+000 1509+000 1602+000 1694 +OOl 1872+000 2046+000 2255+000 2451+000 2654+000 2 844+000 0400 1450000 1549+000 1647000 1744+000 1 934+000 2118+000 2342+000 2560+000 2771+000 2 978+000 0450 1478+000 1581+000 1683+000 1783000 1981middot000 Z174+000 2410+000 C640+000 2864middot000 3083+000 0500 1501+000 1607000 1711middot000 1815middot000 2019+000 2219+000 246S+0IHI 2104+0 2939+000 3 169000
0550 1520+000 1628+000 1735+000 1841+000 2050+000 2256+000 2509+000 751+000 3000+000 3 240+000 0600 1537+000 1641+000 1756+000 1864middot000 2077+000 2288+000 2541000 2801middot000 3051+000 t29S+000 0650 1553+000 1665+000 1775middot000 1885+000 2102+000 2316+000 2580 +000 2140middot000 3096+000 3349000 0700 1512+000 1685+000 1796+000 1907+000 2121+000 2345+000 213000 2818middot000 3139middot000 3396+000 0750 1596+000 1710+000 1823+000 1935middot000 2157+000 2317+000 26411 +000 2417+000 3181+000 3 443+000
0800 16~0+000 1744+000 1857+000 1970+000 2194+000 2416+00amp 2690+000 961+000 3229+000 1494+000 0850 1677+000 1191+000 1905middot000 2018+000 2243+000 2466+000 2142+000 3015+000 3285+000 3 552+000 0900 1141+000 1856+000 1969+000 2083+000 2308+000 2531+000 2808000 3082+000 3353+000 3 622+000 0950 1821+000 1941+000 2055000 2168middot000 2393+000 2616+0011 2892+000 3166+000 3438+000 3 101+000 1000 1938+000 2051+000 2164+000 2217+000 2501+000 2723+000 2998+000 3211+000 3542+000 3 810000
1100 2249+000 2360+000 2410+000 2580+000 2799+000 3011+000 3287+000 3554middot000 3820+000 4084middot000 1200 2707+000 2814+000 2920+000 3025000 3236+000 3445+000 3704+000 3962middot000 4218+000 4bullbull12+000 1300 3368+000 3467+000 3566+000 3665+000 3862+000 4051000 43011+000 4541+000 4181+000 5019+000 1400 43(12middot000 4391middot000 4480+000 4568+000 4745+000 4920+000 5138+000 5355+000 5569+000 5783+000 1500 5537+000 5613+000 5688+000 5163+000 5 912000 6060+000 6244000 6427+000 6608+000 6 788+000
Page 115
TA8Le 12
THE ENTROPy OF THE TOTAL HE3 - HE SOLUTION
5 (J140LE-K)
~ 011001 00002 00005 00010 00020 00030 00040 00050 00060 00080
UO
0000 0001 0002 0003
0000+000 7128_004 1271-003 16111-003
0000+000 9212_004 1751_003 2411_003
0000+000 126-003 2495_003 3651_003
0000+000 1598_003 lI BO-003 4129_003
0000middot000 2019_00l bullbull 030-003 0026_003
0000+000 2316_003 4626_003 6927_003
000(1+000 21554_003 ~103_003 7t II _OO3
0000+000 c75_003 50-003 8255_003
0000+000 2933_003 5 8h_003 8790_003
0000+000 3239- 003 677-003 9110-001
000 1996-003 299B_003 4701-003 62l2-003 7997-00l 9212_003 10111-00~ i099-002 1171-002 1 29-002
0006 2464-003 3866-003 6483-003 8966-003 1 IB2-002 10371-002 15111-002 1middot-002 1 151-000 1 937-002 0008 0010
2806-003 3075-003
bullbull520-003 503-003
7923-003 9117-003
1136-002 1345-002
151-002 1872-002
1805-002 2219-002
2009-002 2483-002
21 7A-002 2701-002
2l25-00l 28B9-002
2middot~15-002 3a 06-OO2
0012 3298-003 5477-003 1013-002 1527-002 2176-002 2609-002 29311-002 320A-002 30440-002 3 1129-002 0014 3486-003 5847-003 1101-002 1689-002 2 bullbull54-002 2973-00 3371-002 3697-002 3975-002 4439-002
0016 36M-003 6PI_003 1178-002 1833-002 2708-002 3314-002 3782_002 bullbull 165-002 4491-002 5035-002 Omiddotou 0020
3796-003 3926-003
6457-003 6115-003
1247-002 1310-002
1964-002 2082-002
292-002 3159-002
3633-002 3931-002
41 70-002 4536-002
611-002 5037-002
bullbull988-00l 5466-002
51115-002 6178-002
0025 0030
bullbull 202-003 4428-003
72amp3-003 7712-003
1bullbullbull4-002 1554-002
2339-002 2554-002
3amp36-002 bullbull 01-002
bullbull 598-002 5174-002
53amp9_002 60 99-002
6016-002 1188-002
6573-00l 7568-002
705-002 821-002
0035 bullbull620-003 8094-003 1648-002 2737-002 bullbull 392-002 5678-002 6745_002 7660-002 8 bullbull64-002 9833-002 0040 0045 0050 0060
4786-003 bullbull 934_003 5066_003 5295-003
8425-003 8717_003 8980_003 9435_003
1730-002 1802-002 1867-002 1980-002
2898-002 3040-002 3168-002 331-002
4702-002 bullbull 978_002 522a-002 5664_002
6127-002 6529_002 6890_002 7536_002
7323middot002 7844-002 831 9_0112 91)1-0n2
80359-002 0993-002 9573-002 1060-001
9277-00l 1002-001 1070-001 1191-001
1085-001 1179-001 1266-001 1 4Z1-001
0070 5bullbull90-003 9822-003 2075-002 3581-002 6037-002 8086-002 9879_002 11middot9-001 1296-001 557-00 0080 0090 0100 0120
5661-003 581middot-003 5913-003 6200-003
1016-002 06-002 1073-002 1120-002
2158-002 2Z32-002 2298-002 2414-002
376-002 3801-002 4022-002 4250-00Z
6362-002 6650-002 6908-002 7358-002
1566-002 1051-001 8993-002 10107-01)19378-002 11 58-001 100S-001 1241-001
1227-001 1297-001 1359-001 1middot469-001
388-001 1 471-001 1 546-001 1676-001
1 677- 00 1 1185-001 1883-001 2middot0SS-001
01middot0 6419-003 1161 002 2512-002 444-002 771-002 1062-001 1322_001 1S63-001 17811-001 2202-001 0160 6623-003 11 98_002 2599-002 bullbull 613-002 8075-002 1111-001 11118_001 l64S-OOl 1886-001 2 331-1101 0180 0200
687-003 7007-003
1232-002 1264_002
2677_002 2748-002
4764-002 bullbull901-002
8371-002 8638-002
115S-001 1195-001
1bullbull46_001 1499_001
10717-001 1782-001
1972-001 2050-001
Zmiddot6-001 2 5bull 9-001
0250 7493-003 13middot1-002 2908-002 S200-002 9212-002 1280-001 1lIll-00l 1922-001 2217-001 2 169-001
0300 A030-003 1417-002 3053-002 5bullbull57-002 9696-002 1351-001 1704 -001 20311-001 2355-001 2 951-001 0350 0400 0bullbull50 0500
8655-003 9396-003 1028-002 1middot114-002
1bullbull99-002 1590-002 1693-002 1812-002
3192-002 3333-002 3480-002 3638-002
5693-002 5916-002 6137-002 6360-002
1012-001 1051-001 1088-001 1123-001
1bullbull12-001 1middot68-001 1519-001 1568-001
1785-001 1851-001 19Z3-001 1985-001
2]37-001 2226-001 2)06-001 2381-001
2bullbull73-001 2571ll-001 2673-001 2761-001
]107-001 ]i5-001 3 369-001 3 483-001
0550 12i8-002 1948_002 3810-002 6S92-002 1158-001 1615-001 2043-001 0451-001 283-001 3588-001 0600 0650 0100 0750
1bullbull04-002 15110-002 1808-012 2122-00Z
2105-002 2291_002 2527_002 2851_002
3999-002 bullbull215_002 bullbullbull79_00Z bullbull828_002
6835-002 7101-002 7411-002 7803-002
119-001 1230-001 1270_001 1318_001
1661-001 1707_001 1756-001 1813_001
2100-00)21S6_001 2H5_001 2280-001
2519-001 21585-001 265]-001 2726-001
2921-001 2998_001 3075-001 3156-001
]688-001 ]8-001 3879-001 3978-001
0800 2576-002 3312-002 531 4-OOZ 8329-002 1379-001 1881-001 2356-001 2Al]-001 329-001 ~O87-001
0850 0900
3238-002 middot19O-OOZ
3981-002 4941-002
6005-002 698amp-002
9058-002 1007-001
1middot59-001 1568-001
1969-001 2085-001
2452-001 257-001
2914-001 3043-001
3359-001 3bullbull96-001
4 212-001 4 363-001
0950 55gt7-002 6285-002 8350-002 11middot7-001 171-001 2238-001 Z734-001 209-00 3669-001 58-001 1000 7351-002 8middot11-002 1020-001 1335-001 1908-001 2 bullbull311-001 2940-001 3 bullbull22-001 3887-001 4 raO-OOl
1100 1288-001 1366-001 1577-001 1898-001 2483-001 302-001 3538_001 4031-001 4507-001 5 4 22-001 1200 1300 1400
218-001 34H-001 5367_001
2246-001 3S61-001 5447_001
2bullbull61-001 3778_001 5667_001
2787-001 4108-001 6001-001
3381-001 bullbull 711-001 6611_001
3933-001 5271-001 717B_001
bullbull 456 0111 5803_001 771 11 _001
bullbull959-001 11315-001 8237-001
5446-001 6810-1101 8739_001
6381-001 762-001 9 106-001
1500 79110 001 8061-001 8282-001 8619-001 9236-001 9809-001 103S+000 108+000 1139000 1middoti37middot000
Page Ilb
TAlK 12 CONTINUED)
IJMOLE-K)
00100 00150 00200 00250 00300 00350 00400 00450 00500 00550 ~ ItO
0000 0000+000 1)000000 0000000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 31500-003 4035_003 4470_003 4844_0n3 5115_003 547_003 5752_003 6009-003 6250_003 6 477-003 0002 69Q9-003 8070_003 8939_00 3 9686_003 1035002 1095_002 11 5deg_002 202-0OZ 1250-002 1295-002 0003 1049_002 1210_002 1341-002 1453_002 1552-002 1642_002 172)_002 1802-002 1875002 1 943002 0004 1399_002 1613_002 1787_002 1937-002 2069_002 219n_002 2 bull 011-002 2403-002 2500-002 2 591-002
0006 ~OQS-002 2418-002 2679-002 2904-002 3103-002 3284-002 3450-007 3middot604-002 3749-002 3R85-OO2 0008 27~7-002 3220-002 3569-002 3869-002 4135-002 4376-002 415911-002 4middot~04-002 4997-002 5 179- 002 0010 3474-002 4018-002 4457-002 4833-002 5166-002 54-002 5745_002 iIiOOl-002 6244-002 amp472-002 0middot012 4154-002 4812-002 5341-002 5794-0n2 6194-002 6557-002 68911-002 7200-002 7490-002 1 4-002 0014 41125-002 0600-002 6221-002 6751-002 7220-002 7644-002 8033-0112 8]95-002 8734-002 ~U54-002
0016 54A4-002 ~382-002 7096_002 7705-n02 8242-002 8728-002 91 74-OO 95811-002 9976-002 1 034- 001 0018 6131-002 7155-002 7965-002 8654-00 9261-002 9809-002 1031 -001 10711-001 1122-001 163-001 0020 6763-002 7918_002 8827_002 9SY7-0n2 1028_001 1089_001 1145_001 11 97-001 1245-001 I Z9 1-001 0025 8272-002 9775_002 1094_001 11 93-001 1279-001 1356-001 1427-001 1492-001 1S53-001 1 611-001 0030 9675-0n2 1155_001 1300-001 1 420-001 1526_001 1620-001 170S-00t 1785-001 1859-001 1928-001
0035 1097-001 1323-001 1497-001 1642-01l1 1767-001 1879-001 1980-001 1074-001 2161-001 2243-001 00 40 121 8-001 14S1-001 1686-001 1855-001 2002-001 2132-001 22511-001 ]59-001 2460-001 2 554-001 0middot045 1middot39-001 1631-001 1866-001 2061-001 2230-001 2379-001 251 4-001 263A-001 2753-001 2 861-001 0050 143-001 1771-001 2038-001 2259-001 2 450-001 2620-001 27Ta-001 2912-001 3042-001 3middot164-001 0060 16O-001 2030-001 2356-001 2630-001 2 867-001 307E1-001 368_001 3441-001 3602-001 3 152-001
0070 1785-001 2261-001 2646-001 2971-001 3255-001 3507-001 373+-001 3943-001 4136-001 4 315-001 0080 192-001 2469_001 2909-001 3285-001 3613-001 3907-001 4173_001 4416-001 46112-001 4852-001 0090 20115_01)1 2659_001 3151-001 3574_001 3946_001 4280-001 4584_001 4863_001 5122_001 5363 001 0100 20185-001 283Z-001 3373-001 384 1-001 4256-001 4630-001 4971-001 5284-001 5576-001 5 848-001 0120 2397-001 3llY-001 3769-001 4322-001 4816-001 5264-001 5 76_001 6057-001 6 412-001 6 146-001
0140 2579-001 3405-001 11115-001 4743-001 5309-001 5827-001 6305-001 749001 7165-001 7557001 0160 2738-001 639-001 44211-001 5117-001 5750-001 6331-001 68711-001 7374-001 7847-001 8 294 - 0010180 2880-001 3848-001 4694-001 5453-001 6146-001 6786-001 782-0111 7 941-001 8461-001 amp967-001 0200 3008-001 4036-001 4941-001 5758-001 6507-001 7201-001 750-001 bullbull 46f)-001 9038-001 586-001 0250 32A2-00l 4441-001 5473-001 6415-001 7286-001 8100-001 8866-001 9591-001 1028+0011 1 094000
0300 35t18-001 4715-001 5915-001 6962-001 7936-001 8852-001 9718-0()l 054middot000 1133+000 1208+000 0350 3702-001 5062-001 6293-001 7430-001 8494_001 9497-001 1045 +000 11 36000 1223+000 1 307+000 0400 3872-0111 5313_001 66211-001 7841-001 8983_001 1006+000 110Y00O 1208+000 1303000 1 394+000 0450 4025-001 5538_001 6920-001 8207-001 9418-001 1057000 1161+000 1272+000 1374+000 1472+000 0500 4164-001 5742_001 7188-001 8538-001 9812-001 1103+000 1219+000 1330+000 1438+000 1542+000
0550 4293-001 5929-001 7433-001 8841-001 1017+000 1144+000 1266+000 1383+000 1496+000 1606000 0600 445-001 6middot104-001 7661-001 9121-001 1051+000 1183+000 1311hOOO 1432+000 1550+000 1665+000 0650 45~0-001 ~269-001 7875-001 9384-001 1082+000 1219+000 13511000 1middot478middot000 1601+000 1120+000 0700 4644-001 ~428-001 8079-001 9633-001 1111+000 1253+000 1389+000 1520+000 1648middot000 1 172+000 0750 47110-001 6586-001 8280-001 9876-001 10140+000 1285middot000 1426+000 561+000 1693middot000 1821+000
0800 48114-001 6750-001 8483-001 1012middot000 1168middot000 137+000 146Z+000 1601000 1137+000 1869000 0850 5024-001 6927-001 8697-001 1037+000 1197+000 1350+000 1498000 141+000 1780+0011 1916+000 0900 5189-001 7127_001 8932-001 1064000 1227000 1384+000 1535+000 1682000 1824+000 1 963+000 0950 5388-0111 7359_001 9196-001 1094+000 1260+000 1420+000 1574+000 1724middot000 1870middot000 2012middot000 1000 56~2-001 7633-001 9502-001 1127+000 1297000 1460+000 11 7+000 770+000 1919+000 2 064000
1100 62Q7-001 8354-001 1028middot000 1211+000 1386middot000 1554+000 171 7+000 1876middot000 2030middot000 2181+000 1200 7275-001 9382-001 1136+000 1323+000 1503+000 1677+00( 1845000 008+00Q 2167+000 2 323000 1300 8674-001 1082+000 1284+000 1476+000 1660+000 1838+000 201lhOoO 2178+000 2341middot000 2 501000 1400 10gt3+000 1282+000 1487middot000 1683+000 1871middot000 2052+000 2228+000 239q+000 2566+000 2 730+000 1500 1330+000 1552middot000 1761+000 1959+000 2150+000 2334+000 21113+000 C687middot000 2857+000 3 024+000
Page 117
TA8LE 12 (CONTINUED)
S (JMOLE-Ilt)
~ 00600 00640 00650 00700 00750 OOAOO 00900 01000 01100 01200
110
0000 0001 0002 0003 0004
00110middot000 6613-003 1339002 2008-002 2677-002
0000middot00(1 6858_003 1372_002 2057_002 273-002
0000middot000 6899_00 3 1380002 207(1-0022759002
0000000 7096-003 1419002 21 29-002 2838_002
0000000 7285-003 1457_002 2185_002 2914002
0000000 7467-003 1493_002 2240_002 2987_002
0000000 781 4-003 163_002 234-002 3125-002
0000000 -139-003 162111-002 2442-002 3255-002
0000middot000 8447-003 1689-002 2534-002 3319 002
0000000 140-003 1r48-002 2622-002 3496002
0006 0008 0010 0012 0014
4015-002 1113152-002 66118-002 1103-002 1307-002
411 4-002 5484-002 6854-002 8222-002 95d9-002
41311-002 5517-002 6894-002 8271-002 9640-002
42S7-002 5675-002 7092-00 2 8508-002 9923-002
4370-002 5826-002 728 1-002 8735-002 1019-001
4480002 5972-002 7464-002 8954-002 1middot0-4-001
481-002 6249002 7AlII-002 9371-002 1093-001
4A83-002 6510-002 81 36-002 0761-002 11 39001
5067-002 6756-002 8444-002 1013-001 10182-001
5243-002 990-002 8 737002 1048-001 1223-001
0016 0018 0020 0025 0030
1069-001 1202-001 1335_001 1665-001 194 001
1095-001 1232_001 1368_001 1707_001 2045_001
1102-001 1239-001 1376_001 1118-001 2057_001
1134-001 1275-001 1416_001 1767-001 2117-001
1164 001 1309001 1 454 001 1 8 15_001 2174-001
1193-001 1 342-001 1490_001 1861_001 2230-001
1249 _001 10--0011560_001 1948_001 233S 001
1301-001 1463-001 1625_001 2030-001 2433-001
1350-001 1519-001 1 687_001 2107-001 2526-001
1397-001 1572-001 146 001 2181-001 Z615-001
0035 0040 0045 0050 0060
2321-001 2644-001 29t3-00l 3278-001 3892-001
2380-001 2712-001 3040-001 3365-001 3999-001
2394-001 2728-001 3059-001 3386-001 4025-001
2465-001 2809-001 31 51-001 3489-001 -1gt2-001
2532-001 2887-001 3139001 3588-001 4272-001
2597-001 middot2961-001 3323-001 3682-001 4388-001
2720-001 3103-001 34U-00I 3861-001 405-001
20135-001 3235-001 3middot632-001 402111-001 411109-001
2944001 3360-001 3773-001 4185-001 5000-001
3047-001 3478-001 )907001 4334-001 I5181-00
0070 0080 0090 0100 0120
4484-001 5049-001 5589middot001 6104-001 1059-001
4612 001 5199_001 5761-001 6298_001 7298_001
4643-001 5236-001 5803-001 6345middot001 7357-001
4794-001 5412-001 6006-001 6575-001 7639-001
4937-001 5580-001 6199-001 6193-001 7908-01
5075001 5741-001 6383-001 7001-001 8166-001
5334_001 6042_001 672901)1 7393_001 850-001
5575001 6323-001 7051-001 7757-001 9100-001
5801-001 6585-001 7351-001 8096-001 9520-001
6015-001 834-001 70635-001 8 416-001 9 916-001
0140 0160 0180 0200 02S0
7927001 8718-001 441-001 1011000 1157middot000
8210-001 90_2-001 9805-001 10UmiddotOOO 1206000
8218001 9121-001 989-001 1061000 1218 000
8613-001 9506-001 1033000 1109000 1276000
8933-001 9814-001 1014000 1155000 1332000
9239-001 10023middot000 1114000 1199000 1386000
9tH5-00l 1089000 11 9(01121283000 149(000
1035000 152000 12600001362000 588000
1085middot000 1210000 10327000 1-36000 16110-000
1133000 1 265000 1389+000 1506-000 1 168000
0300 0350 0400 0450 0500
1281000 1388_000 14A2middot000 1566 000 143000
1337_000 1450000 1551+000 1640000 1721_000
13510000 1466000 1567000 1658000 1741000
14111000 1sectAoI-0001650000 178000 1836000
1483000 1615000 17JhOOO 1835000 1929000
1546000 1686000 1809_000 1919 000 2020000
1 68000 IA22000 1960000 2083000 21 95000
1782000 1952-000 104000 239000 2363000
1891+000 2016000 2241000 2389+000 2524000
1995000 2195middot000 z37J000 2S34000 2679middot000
0550 0600 0650 0700 0750
1712- 000 1771-000 1836000 1892-000 1946000
1795000 1864000 1927000 1987000 2043000
1816000 1885000 1949middot000 2010000 2067000
1917000 1991+000 2060-000 21Z5middot000 21 86000
201 5000 2094middot000 2168middot000 2237000 2303000
2111000 2195000 2274middot000 2347middot000 2417000
2297000 23910000 2479000 2561000 2638000
2475000 2579000 iI~76middot000 2767000 2852000
2647000 2761000 2867000 2966000 3059000
2amp13middot000 2937000 3 051000 3 159000 3260000
0800 0850 0900 0950 1000
1917-000 2048000 2019000 2151000 22116000
2098-000 2151000 2205+000 2260000 2317000
2123000 2177+000 2231middot000 2287-000 2344000
2245-000 2303-000 2361-0110 2419000 2480000
2366000 2 427000 2488+000 2550000 2614000
2483-000 2548000 2613000 2678-000 2745-000
27tl-00O 278bmiddot00o 2A56+000 2927000 3000-000
934000 3013000 3091000 ~16C100o 3247000
3149000 3235+000 3319000 3403middot000 3488middot000
3357 000 345 0000 3541000 3 631000 3 122000
1100 1200 1300 1400 1500
2328000 2475000 2658+000 2890000 3186000
2444000 2594000 2780000 3015_000 3315000
2472000 2624middot000 2811-000 3047_000 3346000
2614000 2770middot000 2961000 3201000 3503_000
2752000 291 4 000 3109000 3352000 3658+000
2889000 3055-000 3255_000 35010000 3810000
31 55 000 3331000 31J39_000 3792_000 4107000
3413000 3599000 3815-000 -07tmiddotOOO 4396+000
366000 3860middot000 40114000 4352000 4678000
3 909000 4114middot000 4347000 4622-000 4953-000
Page 118
TABU 12 (CONTINUED)
S CJMOLE-K)
01300 01400 01500 01600 01800 02000 02250 0241100 02750 03000~ 11lt1
0000 01100-000 0000-000 0000-000 0000-000 0000-000 0000-000 0000-000 0middot000-000 0000-000 0000-000 0001 9020-003 9288_003 9547-003 9797-003 1027-002 1072-002 1126-002 1177-002 1225-002 1212-002 0002 1804-002 18S8_002 1909-002 1959-002 2055_002 2145_002 225Z_002 235~-002 2450_002 2544-002 0003 2706-002 2786_002 2864_002 2939-002 3082-002 3217-002 3378_002 3530-002 3676-002 3816-002 0004 3608_002 3715_002 3819_002 3919_002 4109_002 4290_002 4t03_002 4707-002 4901_002 50811-002
0006 5411-002 572-002 5728-002 5878-01)2 6164-002 6434-002 6755-002 7060-002 7351-002 7 632-002 0008 7214-002 7429-002 7636-002 7836-002 8lin8-002 8579-002 9006-002 412-002 9801-002 1 018-001 0010 901 7-002 92lt6-002 9545-002 9795-002 1027-001 1072-001 1126-001 11 76-001 1225-001 1272-001 0middot012 1middot082-0n1 1middot114-001 1145-001 11 75-001 1232-001 1287-001 1351-001 1412-001 147 0-001 lmiddot526-001 0014 1262-001 1300-001 1336-001 1371-001 1 438-001 1501-001 1576-001 1647-001 1715-001 1 78O-OOt
0016 1442-001 1485-001 1527-001 1567-001 1643-001 1715-001 11101-001 882-001 1960-001 2035-001 0018 162-001 1670-001 111 1-001 1762-001 18U-00I 1929-001 2026_001 2117-001 2205-001 2 289-001 0020 1802-001 1856_001 1908-001 1958-001 2053-001 2143_001 2 2~1)-001 2352-001 2 449_001 2 543-001 0025 2251-001 23I8-001 2383-001 2446-001 2565-001 2678-001 21112-001 2939-001 3061-001 3178-001 0030 2699_001 27~0-001 2858_001 2933-001 3017_001 3213_001 3373 _001 3526-001 3672-001 312-001
0035 3146-001 3241-001 3332-001 34Z0-001 3587-001 3746-001 3934-001 4112001 4282-001 4 446-001 01140 3591 - 001 3700-001 3804-001 3905-001 4091-001 4278-001 4493-001 4697-001 4892-001 5 079- 0n 0045 4035-0111 4157-001 4275-001 4389-001 4605-001 4809-001 5051-0nl 528-001 5501-001 5712-001 0050 4477-001 4613-001 4744-001 4871-001 5112-0111 5339-001 5609-001 5A64-001 6108-001 6 343-001 0middot060 h 33-01l 1 551 8001 5677-0111 58Z9-001 6120-001 6394-001 671 9-001 7026-001 7320-001 7 tl 03-001
0070 6218-001 6413-001 6599_001 6779-001 7120001 7442-001 7822_0111 8182-001 8526-001 8857-001 0080 709-001 7294_001 7509-001 7717-001 8110-001 8481-001 891 8OII 9331-001 9726-001 1 010000 0090 7903-001 8160-00 8405_001 8641-001 9088-001 9508_001 1000000 1047- 000 1092000 1135-000 0100 8719_001 9008_001 9284-001 9549-001 1005000 1052000 1108_000 1160middot000 1210-000 125hOOO 0120 1029000 1065000 1099000 1131+000 1193_000 125000 131 8000 i382middot000 1 443_000 1 501+000
01 40 1177+000 1220middot000 1261-000 1300middot000 1373+000 1442000 1523000 l59A-000 1670-000 1 139000 0160 1317middot000 1367middot000 1414middot000 1460middot000 1546-000 1626middot000 1720-000 1808middot000 1891+000 1971-000 0180 1449+000 1505-000 1560000 1612-000 1710000 1802-000 1909000 2010-000 2105middot000 2196middot000 0200 1572middot000 1636middot000 1697-000 1755-000 186hOOO 1969+000 209000(1 2204middot000 2311-000 2414-000 0250 1852middot000 1932-000 2009000 2083middot000 22Z4000 2356middot000 Zt1 hooo 265middot000 2794-000 2 926-000
0300 2095-000 2190middot000 2283000 2372middot000 2541-000 2700-000 2888000 306-000 3232+000 3392-000 0350 2309-000 2419_000 2 1 525000 2 162811110 2823000 300e-ooo 3221_0110 3433-000 3630-000 3U+000 0400 2500middot000 26Z3_000 2742+000 2857+000 3 1 017000 3286000 3534 _000 ~769-000 3992000 4206middot000 0450 2673000 2808_000 2938000 3065_000 3308_000 l539_000 381 4000 4075+000 4324+000 4 563000 0500 2830000 2976_000 311 7_000 3254+000 3519_000 377hOOO 4071 0110 4356-000 4630_000 1193000
0550 2974+000 3130-000 3281middot000 34Z9middot000 37I3-000 3984+000 4308_000 4jI17-000 4913middot000 5198-000 0600 3101middot000 3middot272+000 3433000 3590+000 3892+000 4182-000 4528000 459-000 5176middot000 15483+000 0650 3231middot000 3405+000 3574middot000 3740000 4060000 4366middot000 4733000 50 084middot000 5422-000 5 749-000 0700 3346+000 3529000 3707-000 3880middot000 4216000 4539middot000 4925000 5296000 5653-000 5999000 0750 3456+000 3middot646-000 3832-000 4013middot000 4364+000 4702-00n 5107000 549j1-000 5871-000 6235-000
0800 360middot000 3757_000 3950middot000 41 39-010 4504000 4856-000 5279+000 586-000 6078middot000 6459000 0850 360-000 3864-000 4064-000 4260+000 4639middot000 5004-000 5444middot000 51116-000 6276-000 _6 612-000 0900 3757000 3968000 4175+000 4377+000 4169000 5147_000 502_000 6041+000 6 465-000 6 877000 0950 3854000 4011000 4283-000 4491-000 4896000 5286+000 5756000 6210+000 6649_000 7 075000 1000 3950-000 173000 4391_000 4605-000 5021_000 5423000 5901000 375000 6828000 7 268_000
1100 414hooo 382middot000 4611-000 4836middot000 5272middot000 5695-000 620S+000 6699-000 7177+000 7 643000 1200 43~2middot000 4606-000 4844-000 5078-000 5534-000 5975000 6508000 702middot000 7526-000 8 01 4-000 1300 4604-000 4855+000 5102-000 5344-000 5816+000 6273middot000 61127middot000 7363-000 7884middot000 13392-000 l400 4886-000 5144-000 5398middot000 5647middot000 6133-000 6604-000 7174+000 772emiddot000 8266middot000 13191-000 1500 5223middot000 548hOOO 5746middot000 6001middot000 6498-000 6980-000 7565-000 81 32000 8684middot000 9223000
Page 119
TABLE 13
THE ENTHALPY AND EXCESS ENTHALPy OF THE TOTAL HE3 - HE4 SOLUTyON
X bull 00001 X bull 00002 X bull 00005 It bull 00010 X bull 00020
T -H HE -H HE -H HE -H Hp -H HE IKI (JMOLE) IJMOLEI IJMOLEI (JMOL1 IJMOLEI IJMOIEI IJMOLpoundI fJMOIEI IJMOLEI IJMOLEI
0000 0001 0002 0003
3905631 3905631 3905631 3905630
-000021 -000021 _000021 -000021
3905261 3905261 3905261 3905261
-000042 -000042 -000042 -000042
3904151 3904151 3904150 3904150
-000104 -000104 _000103 -000103
3902297 39112297 3902296 3902296
000203 -000203 _000 202 _000 202
3898580 3898580 3898579 38 98579
_000392 _000392 000391 _000391
0004 3903610 _000021 3905260 -000042 3904150 _000103 3902296 _0 00202 38 985711 _000390
0006 3905630 -000021 3905260 -0110041 3904149 -000102 3902294 -000200 3898576 _000388 0008 0010 0012 0014
3905630 3905630 3905629 3905629
-000020 -000020 -000020 -000020
3905260 3905259 39 05259 3905258
-00004i -000040 -000040 -000039
3904148 3904147 3904146 3904145
-000101 -000100 -000099 -000098
3911229 39(12291 3902289 39CI2287
-00199 _000197 -000195 _000193
3898574 ~89851l 38 bull98567 3898561+
_000386 _000383 _000l80 000376
0016 3905629 -000019 3905258 -000039 3904143 -000097 3902284 -000191 3898560 _000313 0018 0020
3905629 3905628
-000019 -000019
3905257 3905257
middot000038 -00003$
3904142 3904141
-000095 000094
3902282 3902280
000189 -000186
3898556 3898552
_000369 _000365
0025 3905628 -000018 3905255 -000037 3904138 -000091 3902274 000181 3898541 000355 0030 3905627 -000018 3905254 -0110036 3904135 middot000089 390228 _000115 3898530 _000344
0035 3905627 -000017 3905253 middot000034 3904132 -000086 39022(12 middot000170 38 9851 9 _000333 0040 3905626 middot000011 3905252 -000033 3904129 -000083 3902216 000164 3898507 000323 0045 3905625 middot000016 3905250 -000032 39 04126 middot000080 3902210 -000159 3898495 0middot00312 0050 3905625 -000016 3905249 -000031 3904123 -000077 3902244 000153 3898483 000301 0060 3905623 -000014 3905247 -000029 39 04117 middot000072 3902232 -000142 3898459 _0middot00280
0070 3905622 -000013 3905244 -000027 3904110 -000066 3902220 -000131 3898435 000258 0080 0090
3905621 3905620
-000012 000011
3905242 3905239
-000024 -000022
39 04104 3904098
-000061 _000055
39112207 3902195
_000120 000110
38 98411 38 98387
000237
0002 16 0100 39056 18 -000010 3905237 -0110020 3904092 middot000050 39021A3 -000099 3898362 000195 0120 3905616 -000008 3905231 -000016 3904079 -000039 39112118 000078 3898313 000153
011+0 3905613 -00006 3905226 -000012 3904066 middot000029 3902132 000058 3898263 000113 0160 3905610 middot000n04 39115221 -000001l 3904053 -000019 3902107 000038 1898213 000073 0110 0200 0250
3905606 3905603 3905592
-000002 000000 000005
39 05215 39(15209 3905191
middot000004 000000 000010
3904040 39 04026 39 03990
middot000009 000001 000025
3fh020lH 3902055 3901 988
000018 000002 000050
3898163 38 bull98112 3897983
000034 0middot00005 000101
0300 3905577 000010 3905110 000019 3903951 000049 3901 9 19 000097 38 97850 000196 0350 3905557 00001 4 39115144 000029 3903906 000072 3901841 000 145 3191712 000291 0400 3905529 000019 3905110 000031 3903853 000096 3901157 000191 3897566 000384 0450 0500
3905491 3905441
000024 000028
3905066 3905009
000047 000057
3903790 3903115
000119 000142
3bullbull01664 3bullbull 015i1
000238 000284
3897410 3897242
000416 000568
0550 3905375 000033 39 04938 000066 3903625 0001 64 3901 436 000329 3891058 000659 0600 0650 07BO 01 0
3905291 3905181 3905927 3904 99
000037 000042 000046 000051
3904848 3904731 39 04571 39 04336
000075 000084 000093 000101
3903516 39 03381 39 03202 3902949
000187 000209 000232 000254
390126 3901130 39 09203900636
000374 000419 000463 000507
3896856 3896628 38 bull96356 38 bull96009
000749 000839 000927 0middot01015
0800 3904446 000055 3903978 000110 3902511 000275 3900227 000551 3195539 001102 0850 0900 0950 1000
3903900 3903065 3901826 3900046
000059 000064 000068 000072
3903425 3902584 3901339 3899553
000119 000127 000136 000144
3902000 3901141 3899871 3898073
000297 000318 000339 000360
3899625 3898735 3197441 3895601
000594 000636 000611 000720
3894815 3893923 3192569 3890613
001188 001273 001357 001 440
1100 31942)5 000080 3893710 000160 3892195 000401 31189669 000801 3884611 001603 1200 1300
3184068 3867610
000088 000096
3883551 3867012
000116 000191
3882002 31 65500
000440 000478
39 79418 3162863
0Dn880 000955
3874252 38 57588
001160 001 911
1400 1500
3842097 3804138
000103 000110
38 bull 41559 3803592
000206 000219
3839947 3801954
000514 000548
3837260 37 99224
001 028 001 096
38 31887 3793163
002055 002193
Page 120
TABLE 13 (CONTINUEO
l( bull 00030 X bull 10040 X bull 00050 X bull 0060 )( 00080
T bull lot HE -H HE -H HE -H HF -H HE (K (JMOL) (JMOEI IJMOLE) (JMOLE) (JMOLEI (JMOLE) (lMOE IJMOLE) IJMOLEI tJMOLE)
0000 0001 0002 0003 0004
38948l2 3894852 38948l2 3894851 3894850
-000570 -000570 -000570 _000569 000568
3891116 3891116 3891116 3891115 389 111 4
-0bull 00740 -000740 -000740 -000739 -0007311
38117372 3887372 3887372 3887371 3887370
-000902 -000902 -000902 -000901 -000900
3883622 3883621 31=1 83621 38 83620 3A83619
_001058 -001058 00)05700056 _001055
876101 3876101 3876101 38 76101 38 76099
_001349 _001349 _001349 001 348 _001 347
0006 3894848 -000566 3891112 -000736 3887367 -000898 3883616 -001053 3876096 _001J44 0008 0middot010 0012 0014
3894845 3894841 3894837 38 94832
-000563 -000560 -000556 -000551
3891108 38 91104 3891099 38H093
-000732 -000728 -000724 -010718
3887364 3887359 3887353 3887347
-000A94 -000890 -000884 -000878
31113612 3883607 3A83601 31i83594
-001 049 -001044 -001038 _001032
3876091 3876085 3876079 3876071
001340 -0middot01334 _deg01 328 _001321
0016 3894827 middot000546 3891087 -000712 3887340 -000872 38835A7 001024 3876062 001 312 0018 0020
3894822 3894816
-000541 -000536
3891081 3891074
-010706 -010700
3887332 3887324
-000864 -000857
3A83578 3A83569
-001016 -001008
3876052 38 76041
_001303 0 middot01293
0025 0030
3894801 3894785
-000521 -000507
38 bull91055 38bull91035
-0006112 -000663
38bull 87302 3887279
-000836 middot000814
38 83544 3Abull 1I3517
-000985 -000959
38 76011 3875978
-0middot01265 _0middot01234
0035 3894769 -000491 389101 4 -000644 3887253 -000791 38834118 -000932 3875942 001201 0040 0045 0050 0060
38947~2 3894735 38947 18 3894683
000476
000460 _000444 000413
3890992 38 bull90970 3890948 3890902
-000624 000603 middot000583 000542
3887227 38 87200 3887173 38 8711 6
-000767 _000742 000717 _000666
3883457 3883426 3883394 3883327
000904
000876 _000847 _00(1787
3875904 ~875864 38 75823 38 75737
001166
001130 _001093 _001018
0070 3894647 -000381 3890855 -000500 3887059 -000616 38 tl 3259 -000 727 38 75649 _000940 0080 0090 0100 0120
3894611 3894575 3894538 3894465
-000350 -000318 -000287 -000226
3890807 3890760 38 bull90711 38 bull90614
-000459 middot000418 middot000377 000296
3887000 3886941 38 86881 3886761
-000565 000514 middot0middot00463 -000363
38 tl3190 3883120 38 83049 38 tl2905
-000667 -000607 -000546 -000427
3875559 38 75467 3875374 38 75186
_000862 000783 000705 000548
0140 3894391 middot000166 3890516 middota00216 3886639 middot000263 3882760 -000309 3874995 000392 0160 0180 0200 0250
3894317 3894242 3894167 3893976
middot000106 _000047
000011 000155
3890418 389031 9 389021 9 38 89968
000137 -000059
000019 000210
3886517 3886394 3886270 3885958
middot000165 -000068
000028 000266
3882614 3tl 82467 38 82319 3881946
-000192 000076
000039 000324
3874802 3874607 3874412 38 73918
_000238 000085
000067 000444
0300 3893782 000297 3889712 000399 3885640 000502 3881567 000606 3873418 000819 0350 0400 0450 0500
3893581 31193313 3893156 3892925
000438 000577 000116 000854
3889450 38 bull89180 38 bull88900 3888608
000586 000172 000957 001140
3885317 38bull84985 38 84644 3884289
000736 000968 001198 001427
38~113 3F1 bull807A9 3Abull tl 03A6 3A79970
000886 001165 001 44 1 001 715
38 72911 38 72395 38 bull 71869 38 71330
001191 001561 001928 002Z9J
0550 389Z679 000990 3888300 001321 3883920 001654 3879539 001 9S7 38 70775 002654 0600 0650
3892415 3892125
001125 001259
3887974 38876Z1
0015(11 001680
3883532 3883117
001878 002101
3879089 3A78613
002256 0025Z3
3870202 3869602
003013 003369
0700 0750
3891791 3891382
001392 001523
3887225 3886755
001857 002032
3882659 3882127
002322 002542
3878093 311117499
002789 003051
3868958 38 68241
003722 004072
0800 3890850 001654 3886161 002206 3881471 002758 3876781 003311 3867400 004418 0850 3890114 001783 3885373 002378 38 80622 002973 3875870 003569 38 66366 004761 0900 3889111 001910 38 tl4299 00254A 3879487 003186 3874674 003824 3865047 0middot05101 0950 1000
3887696 3885740
002036 002161
38 bull82822 38 bull80806
00276 002882
3877949 3875872
003395 003603
3873075 3870938
004075 004324
3863326 3861069
005436 005767
1100 3879565 002404 3814512 003206 38 69460 004008 3864407 004810 38 54301 006415 1200 1300
386901115 3852313
002640 002867
386391 8 3847038
003520 003822
3858751 3841763
004401 004718
3853584 3836488
005281 005734
3843Z511 38 25938
007043 007646
1400 3826513 003083 3821139 004111 3815765 005140 31110391 006168 3799642 008Z24 1500 37883n3 003289 3782842 004386 3777381 005483 3771 921 006579 3161000 008772
Page lZ1
TABL~ 13 (CONTINUED)
X bull 00100 I( bull 00150 )( bull 00200 )( bull 0n20 l( bull 00300
T -M HE -H HE -M HE -101 HE -H HE 11(1 IJMOLI) (JMOLEI IJMOLll IJMOLEI IJMOLE) IJMOLEI IJMOLrO IJMOLEI IJMOLEI IJMOLEI
0000 386A5118 -001f18 3849616 -00~2011 3830572 middot002692 31111442 00092 3792236 003416 0001 386851118 001618 3849616 -002206 3830572 -002692 3811441 middot001091 H 92236 003416 0002 0003
3868558 386ASo7
_001611t 001617
38 bull 4961b 38 49615
-00220 -002205
38 30571 3830570
-002691 -002690
3A11441 3811 4 3C1
_00)091 00309 0
]79223J 379i234
003416 _003414
0004 38685136 -001616 849613 middot002204 383069 -002689 3811 438 003088 3792232 0034 13
0006 386852 -001613 middot1849609 -002200 JIt3056 -002685 3811433 -00]084 H 92227 003408 0008 0010
3868547 3868541
middotOOlMIt -001602
]849604 3849596
-002195 -0021111
3830558 3830550
-002679 -002672
38114iJ6 38 11 417
-003078 middot003070
37 bull 92220 3792211
003402
0middot03394 0012 0014
3868534 3868525
001595 -0015ti7
3849588 38 bull 49577
middot002180 -1102171
38 30540 38 30529
middot0middot02664 -002653
3Amiddot11 407 38 113C14
-003061 -003 050
37921 9 3792186
003385 _003373
0016 3868515 middot001578 3849566 -0Cl2160 3830516 middot002642 3A1130 _003038 3792171 _003360 0018 0020 0025
3868504 38611492 3868458
-001568 _001557 001526
3849553 31t49538 384949b
-0U2149 0 02135 -0112098
3830501 3830484 3830437
-002629 _00261 4 002572
3811364 3811346 3111294
003024
003008 _002962
3792153 3792134 3792078
003345 _003329 003280
0030 3868420 0111490 3849448 002054 3830380 002522 311111231 _002908 3792111 0 003222
0035 38611371 -001452 3849393 middot002005 3830316 middot0024b5 3811159 _002845 37 91931 003154 0040 0045
3868332 386112A5
-001411 -001368
38 49334 3849270
-001952 -001895
38302116 3830169
-002403 -002336
3111111179 3~10992
-002175 -00700
3791843 3791746
_00]079 _002996
0050 3868236 -001324 3849203 middot001836 3830088 -002264 3810898 -0026 19 3791642 -002907 0060 3868133 middot001233 849062 -001 712 38 29912 -002113 3AI0694 -002444 3791 4 12 -002713
0070 386806 -001139 3848912 -001582 3829725 -001952 3810472 middot00256 3791161 002501 0080 38679 16 -001044 3848755 -001448 3829527 -001784 3810238 002059 3790892 002278 0090 0100 0120
3867803 3867689 3867457
middot000948 -000852 00065
3848595 3848430 3848093
-001312 -001174 000897
3829322 3829111 3828676
-001612 -001437 -0010
3A0999 31109738 311119211
-0Oi854 middot0Oj645 001 217
379060 3790315 3789701
002044
001804
001308
0140 3867220 -000467 3847748 -000618 3828228 -000721 3A08664 000780 ]71190611 000799 0160 3866981 middot000117 3847398 -000340 3827170 middot000359 311 08103 -000339 3788401 000283 0180 3866740 -000087 3847043 -00001 3827306 000004 3A07533 000104 37 87127 000238 0200 0250
3866498 38658115
000102 000570
3846685 38 45779
000216 000908
3826836 38256113
000367 001275
38116904 3805481
00550 001 669
37 117042 37bull 85295
000163 002086
0300 38652l4 001036 3844860 001598 3824431 002185 303981 002794 3783512 003421 0350 0400 0450
3864636 3863998 3863349
001499 001960 0Ol418
3843931 3842990 3842037
002287 002974 003656
3823205 3821965 3820710
003096 004004 004909
31102462 3A0095 37 99371
003922 000049 0011173
37111103 37 79873 3778023
004763 006106 007447
0500 38626117 002873 3841069 004335 3819439 005809 37 ~n800 007292 3776153 008783
0550 31162009 003324 3840085 005008 3818151 006703 37 96209 008405 37 74262 0010113 0600 0(51) 0700 0750
3861312 38605119 3859823 3858982
003772 004217 004657 005094
3839082 3838052 3836977 3835829
0115678 006342 007000 007654
3816843 38 15507 38 14127 38 12672
00759 1 008474 00 9349 010218
3794597 37 929S7 3791272 37 895J3
009511 0106 10 011 701 012784
3772348 3770406 37 6841 7 376635
011435 012749 014054 015349
01300 3858Gl8 005527 3834558 008301 3811095 011078 3187631 013857 37 64169 016634 0850 0900 0950
3856861 3855419 3853577
005955 006379 006798
3833095 38 31348 3829203
008942 009576 010203
3809327 3807276 3804828
011931 012714 013609
3755C9 37 83204 378 0455
014920 015972 017012
3761 793 37 59136 3756085
017906 019166 020412
1000 3851199 007211 3826524 010822 3801849 014432 3777176 01111040 3752509 021643
10 100 3844194 008021 38 189Z8 012034 3793664 016046 37 68404 020053 3743150 024055 1200 10300
38329 15 38153A8
008804 009559
38070eo 37bull8901
0132011 014337
3781247 37 62644
017608 0019112
3155420 37362110
022003 02388 0
3729600 3709925
026390 028639
1400 1500
3788895 3750079
0010280 010965
37 egt2027 37 22780
0154111 016444
3735165 3695487
020550 0219 17
3708310 36 68202
025675 027381
3681 464 3640927
030 79 1 032836
Page 122
TABlF 13 (CONTINUED)
X bull 00350 X bull 00400 X bull 00450 )( bull 0middotn500 )( bull 0middot05S0
T -H HE middotH HE middotH HE H HE middotH HE (K ~JMOLI) JMOLEI (JMOLE) ~JMOLE) IJMOLEI (JMOLEI (JMOUI IJMOLE (JIoIOLf) I JMOlEI
0000 3772966 -003676 3753637 middot003877 37 3U57 middot004027 37 h8JO 004130 J695360 004190 0001 0002
3772966 3772965
003676
003675 37gt3637 3753636
middot003877 0deg3876
3734257 3734256
004027 -004026
3714829 37 14828
004129 004129
1695360 36 bull95359
004190
004189 0003 0004
377293 3772962
_003674 003672
37 53635 3753633
-003875 -003874
3734254 3734252
-004025 -004023
3714827 37 1482)
-004127 004U6
36 95357 ]69535S
004188
004186
0006 3772956 -003668 37gt3627 middot003869 3734246 -004018 3714818 004121 3695348 _004181 0008 0010 0012 0014
3772948 3772939 3772927 3772913
-003661 -003653 middot003643 003631
375361 9 3753609 3753596 3753581
-003862 -003854 -003843 middot003831
3734238 3734227 3734214 37 34198
-004011 -004002 -003992 -003979
37148O 3714798 3714785 3714768
_004114 -004104 004093 004080
3695339 3695328 3695313 ]695297
_004174 _0middot04164 _004153 0middot04140
0016 3772896 -003617 3753564 n03811 3734180 -003964 37h700 -004065 3695277 _004125 0018 0020
3772878 3772857
-003602 -003584
3753545 3753523
003801 -003783
3734160 3734137
-003948 -003929
37147f 9 37 14705
-004048 -004029
369525S 3695231
004107
004088 0025 0030
3772797 3772725
003533
003472 37gt3460 3753383
003730 -003666
3734071 3733990
-003875 -003808
3714636 3714552
_003973 -0OJ905
369515 3695072
004030 _003960
0035 3772641 -003401 3753294 -003591 3733897 -003731 3714404 _003826 3694cJ70 003879 0040 3772546 -003321 3753193 -003507 3733790 -003643 3714342 -003735 3694853 _003785 0045 0050
3772441 3772326
-003232 -003136
3753080 37 gt2958
-003413 middot003311
3733671 3733541
-003546 -003439
3714217 37h080
-00]633003522
3694722 3694579
_0middot03680 _00356sect
0060 3772075 -002925 3752686 -003086 3733250 middot003200 3713772 -003272 3694256 _003306
0070 3771796 -002693 3752383 -002836 3732924 002935 3713426 002993 3693890 003014 0080 0090 0100 0120
3771496 3771179 3770847 3770150
-002446 -002186 -001917 _001359
n52054 3751704 3751338 3750563
-002568 -002284 -001 98q -001372
3732569 3732190 3731790 3730941
-002647 -002342 002023 001352
3713046 3712638 3712207 37112e8
-002688 _002363 -002021 -00300
3693487 369305J 3692593 3691607
_002693 _002350 _001 988 _001219
0140 37 69420 -000783 3749747 -0U0732 3730043 -000651 3710311 _000543 l69055J _000408 0160 3768665 -000195 3748900 -000076 3729107 000069 37U9290 000240 1689449 000434 01 80 0200 0250
3767892 37 67104 3765089
000401 001002 002524
3748030 3747142 3744863
000 59 1 001266 0029A l
3728143 3727157 3724621
000805 001552 003454
37U823sect 3707103 3704365
001041 001 857 003942
36M306 3687131 3684095
001298 002181 0middot04444
0300 3763027 004065 3742527 004723 3722015 005394 37014q2 006075 3680959 006766 0350 3760932 005617 3740150 006482 3719359 007356 3gt8560 00823M 3677755 009125 0400 0450 0500
3758811 3756667 3754500
007173 008729 010279
3737741 )735305 3732844
008249 010016 011779
3716665 3713940 3711186
009330 011307 013281
31955~4 312572 3~89528
010416 012600 014783
3674500 367120] 3667871
011506 013895 016284
0550 3752311 011824 3730358 013537 3708405 015250 386454 016962 3664505 018671 0600 0650 0700 0750
37 50097 3747853 3745563 3743197
013361 014888 016406 017913
3727846 3725303 3722711 3720044
015286 017027 018756 020474
370sect596 3702754 3699864 3696896
017211 01 9 162 021102 023029
318330 36t0210 31701 36 73704
019132 02 293 023442 025577
36 61107 3657b7c 3654185 3650620
021050 023419 025776 028119
0800 3740709 019408 37172sect4 0 22177 3693805 024941 370364 027697 3646931 030444 0850 3738031 020889 3714274 0 23866 3690525 026837 3666784 029798 3643052 032751 0900 3735072 022356 3711015 025539 3686966 028714 3662926 031 88 0 36 38t96 035036 0950 1000
3731722 3727847
023807 025240
3707366 3703194
0 27194 028828
3683018 3678550
030572 032408
3658680 36 53917
033940 035976
36343sect 3629296
037298 039533
1100 3717903 028048 3692666 0l2033 3667440 036006 3142225 03q96A 3617024 043917 1200 1300
3703789 36fI3S80
030769 033389
3677988 3657246
035137 03812A
3652199 3630925
039494 042853
3126423 360461A
043837 047565
3600662 3578326
0middot48166 052261
1400 10500
3654629 361364
035897 038279
3627806 35 1f6414
0 40989 04370q
3600997 35 59179
046068 049124
35 74204 3531 960
051132 054523
3547426 3504757
056181 059906
Page 123
TA8LE 13 (CONTINUEDI
l( bull 00600 )( bull 00640 )( bull 00650 )( bull 0117(10 )( bull 00750
T (Kl
middotH (JMOL1
tolE (JMOLEI
middot101 (JHOLEI
HE (JMOLEI
middot101 (JMOLEI
HE (JHOLEI
11 (JHOLF1
HI (JMOLEI
104 (JMOLE)
1111 tJMOLEI
0000 0001 0002 0003 0004
]675852 3675852 3675851 3675849 3675847
004212
004212
004211
004i110
004208
]660221 ]660220 36b021 9 3660218 36b0215
middot004205 middot004204 -0042n4 middot004202 -004201
]656310 36 56309 36 56308 3656306 3b 56304
004200 -004199 004199 004197 _004195
36 3671i 36 3675 3636734 3636732 36 36730
004155
004155
004154
004153
004151
HlI7133 ]61713Z 3617131 ]61712 617127
004083
004082
004082 _004080 004078
0006 0008 0010 0012 0014
3675840 3675831 3675819 36758 04 3675787
-004203 -004196 -0041 8 6 -004175 -004161
36deg0208 3660199 1660186 600171 3660154
middot004195 middot004188 middot004178 -0114167 -004153
3656297 365628S 3656275 3656260 36 56242
-004190 -004183 -004173 -004162 -004148
3636723 36$67 13 3636700 3636684 3136666
004146
00138 -004129 -004117 -004103
36 17120 3617109 3617096 3617080 3617061
004073 _004065 _004056 _004044 _0middot04029
0016 0018 0020 0025 0030
3675717 3675744 3675719 3675644 36 75554
-004145 004128 -00410B -004049 003978
3660133 3660110 3660084 ]660008 ]659911
-004137 middot004119 middot004099 -0114040 003967
3656222 3656198 3656172 3656095 3656002
middot004132 00411 4 -004094 middot004034 -0D3901
3636645 3136621 3636594 36 36515 31364 19
-004087 004068 004048 00]987 _00]914
3617040 3617015 36 16i88 36169 06 3616807
004013
003995
003974 _003912 _003837
0035 0040 0045 0050 0060
]675448 ]675327 36751 9 1 ]675042]6747 04
-003894 -003798 -003691 -003572 -003304
3659806 ]6I9682 3659542 3659388 3659 039
-003882 -003784 middot003675 -003554 -003280
3655892 3655767 3655627 3655471 3655120
middot003876 -003778 -003668 -003546 -003270
3636306 3t-36177 3636~]1 3635871 31)55(17
_003826 -003727 00]614 middot00]490 -003207
3616691 36165511 3616409 3616243 3615867
_00]749 _003647 -0middot035]] _0middot03406 -00]U7
0070 0080 0090 0100 0120
]6743i0 3673896 36734~7 ]6 7 2948 36 7 1899
-003000 -002666 002306 001925 -001113
3658641 3658201 1657723 3657214 165611 5
-002967 ~01I2623 -0112251 -001855 -001009
3654719 3654274 3653792 3653217 36 5UM
-002956 -002609 -002234 0011135 _00098 1
3635090 3634626 31341~1 36$35S1 332412
-002884 002525 _002136 -0017c1 _0On 828
3615434 3614953 3614427 3613863 3612637
002785 _0024 16 002014 _001583 000654
0140 0160 01 80 0200 0250
3670772 36695138 36613358 3667093 3663814
-000250 000648 001574 002520 004956
3654932 3653685 3652388 3651051 3647581
middot0001011 0(10834 (101 81)6 002803 005314
36 50970 3649707 3648394 3647040 3643522
-000070 000882 001 866 002875 005479
3631147 36 Z98 10 36 l84 1i 326974 36u~3222
0On129 001133 002173 003242 006011
611307 3609896 360842Z 36 06896 36029 15
000346 001399 002494 00]6210middot06549
0300 0350 0400 0450 0500
36604 19 3656946 36534 14 3649835 3646215
007464 010018 012597 0151 89 011784
3643983 36middot0296 3636544 36 32741 ]628893
008027 010734 013471 016223 018981
3639873 363613] 3632327 3628467 3624563
008169 010 913 013689 016482 019280
3119322 315319 3111240 3117103 3602916
0011878 011 8 11 014781 017172 020171
3598766 3594503 3590155 3585741 3581273
009592 012 109 011172 019059 022258
0550 0600 0650 0700 0750
3642560 3638869 3635139 3631357 3627495
020376 022962 025539 028 102 030651
3625007 36 21083 361711 9 3613101 36 09 002
021737 024488 027229 029957 0 32670
36 206 19 3616638 3612615 3608538 36 04379
022017 024868 027650 030420 033173
31)986115 35 9441 3090099 3085728 3SIJ1275
02171 026767 029753 032727 035685
35767511 3572198 3567593 356292i 3558 182
0middot25459 02Sb57 031 15 47 0middot]5024 038 185
0800 0850 0900 0950 1000
3623508 3619331 361878 36100]9 3604617
033182 035692 038180 0 40643 043071
3604177 3600363 35i5672 3590597 3585010
035364 038037 0 40687 0 43309 0 45903
3600096 3595622 3590872 3585738 3580092
035908 038622 041312 043975 046607
35 76695 3071 925 35b68S0 3obI451 3555512
038624 04 1540 044430 047293 050123
3553307 3548242 1542901 3537179 3530948
041326 04444 047535 050595 053622
10100 1200 1300 1400 1500
35 9 1837 35149 15 355201 3520665 3477572
047851 052480 056941 061212 065271
357698 3554330 3531042 3499269 3455838
050988 0 55920 0 60673 0 65223 0 69549
3566664 3549185 3525792 3493922 3450406
051771 056778 061604 066225 070617
35 4 15 08 35 23472 3499502 3407198 3bullbull c32C9
055674 061059 066249 0 7 1219 075943
3516369 3497716 3473330 3440494 3396133
0middot59561 065322 070875 0 761 93 08149
Page 124
TABLE )3 (CONTINUED
l( bull 00800 X bull 00900 X bull 01000 X 0100 X bull 01200
T -H HE -H HE -101 F -p ME _101 ME (1lt) (JMOLFI JMOlE) (JMOlE (jMOLE IJMOLE IJMOLEI (JMOL (JMOLE IJMOLE IJMOLEI
0000 35 975(14 middot003984 3558178 middot00371R 3518774 middot003374 3479308 002968 3439792 _00~512
0001 0002 0003 000 4
359750 4 35 975 02 35 975nl 35 97498
middot003984 003983 003981 _003980
3558177 3558176 3558174 3558171
middot003717 -0037 17 -003715 -0U3713
3518773 35 18772 3518770 3518767
middot003374 003373 003371 003369
3479307 3479306 3479304 34 79301
002967
002967
002965
002963
34 39792 )43979( ~43978l1 34 39785
002512
002511 _002~10 002508
0006 3597490 middot003974 355EH64 -00370R 3518759 -003364 34 79292 -002957 34 39777 0middot02502 0008 0010 0012 0014
3097480 35 97467 3597450 35 974~1
-003966 -003957 -003944 -003930
3558153 3558139 3558121 35 58101
-003700 -003690 -0113677 -0113663
3518748 3518733 3518715 3518694
-003356 middot003346 -003333 -003318
3479281 3479215 3479247 3479225
middotU02949 -002939 -002926 -0029 11
l43976 )439749 34 39729 3439707
002494 _00lt483 -0middot0~411 002456
0016 35 97409 -003914 3558078 -003646 3518670 -003301 34 79260 002894 34 39681 _deg02438 0018 0020 0025 0030
359 73R3 3597305 35 97272 359 7170
-003895 _003874 _003812 -003736
3558051 3558022 3557934 l557828
-0113627 -003605 -003542 middot003464
3518642 3518611 35 18520 35 18410
-003282 -003260 003195 003116
3479171 3479139 34(9045 3418929
-00(1874 -002852 002787 -002707
3439651 34 396 18 3439520 34 39401
_002418 _0023Y6 _002330 002249
0middot035 3597051 middot003646 3557703 -003372 3518279 -003023 34 78794 -0026 12 34 39260 _002152 0040 35969 14 -003543 3557559 -003267 3518129 -002915 34 786 38 -002502 34390915 _002041 0045 0050 0middot060
3096760 3596590 35 96202
-003426 -003297 -003003
3557398 3557218 3556809
-003147 -003014 middot002709
3517960 3517772 3517343
-002793 -002656 -002344
34 784102 ]47826 34778 18
-00378 -002239 -001 9 19
34389 10 3438713 3438248
-001 9 15 ~001774 _001449
0070 35 917o6 -002663 3556336 -002357 3516845 001980 3477298 _001 546 34 37706 _001067 0080 0090 0100 (l120
3595256 35 947 11 35 9413 3592844
-002284 0011170 001425 -000462
3555804 3555221 3554590 35)3209
-0111960 -001525 -001055 -000030
3516284 3515666 3514995 3513519
-001568 -001115 000623
000458
3476709 34 76059 34 75351 34737A7
-001122 000052 -000141
000988
34 37092 34 36411 34 35669 34 34021
_000633 000150
000378 001552
01 40 3591451 000579 3551696 001088 3511893 001644 347204 002237 3432188 0028~7
0160 3389969 001680 3550078 002277 3510147 002914 34701R6 003582 3430203 004270 01 80 0200 0250
35684]1 35 86808 3582602
002826 004010 007094
35 48376 3546607 3541961
~ 004S14 008198
3508303 3506380 -3501309
0middot04252 005644 0~09313
34 b8206 34 661 35 3460653
005004 00492 010432
34 28 093 3425880 34 20001
005772 0middot07349 ~1l547
0300 3578208 010308 1537088 011745 ]495969 013181 3454858 0146 08 3413762 016021 0350 0400 0450
3573687 3369072 3564385
013608 016960 02031+1
3532060 352691 8 3521688
015401 019125 0 228119
3490444 3484784 3479020
017182 021269 025409
3448846 34+2677 34363116
0lR946 023387 027894
3407273 3400612 3393791
020685 025472 030339
0500 3559637 023738 3516387 026676 3473172 029578 34ii9997 032441 3386869 035257
0550 3554838 02739 35 11025 030472 3467254 033764 3423529 037010 3379855 040204 0600 3549992 030538 3505609 034270 3461274 037955 34169A9 041589 3372762 0middot45165 0650 0700 0750
3545097 3540142 3535101
033930 037309 040672
35(01403494605 3488981
0J8062 0 41843 0 45607
34 55233 3449123 3442920
042143 046320 050482
3410383 341137Q1 33 96923
046167 050738 055293
3365594 3358345 335099)
050131 050090 060035
0800 3529933 044015 340 83227 0+9350 3436584 054622 3390008 059827 3343505 064959 0850 0900
3524573 3518938
047333 050624
3477281 3471060
0 53067 0 56754
3430055 3423250
058735 062816
3382899 33 75514
064332 06e804
33351119 3327857
069854 074713
0950 3512922 053R83 3464460 0 60401 3416068 066859 3367711i3 073236 3319520 079531 1000 3506400 057106 31+57357 0 64020 34 08387 070861 3359496 077622 3310689 084300
1100 3491247 063430 3441059 0 7 1113 3390950 078717 334 0924 086237 329098b 093670 1200 1300 1400 1500
3472100 3447128 34138 10 3369028
069566 075482 081147 086534
3420805 3394785 3360506 3314884
077996 0 84634 0 90992 0 97038
3369593 3342529 3307291 3260833
086343 093699 100747 107449
3318468 3290363 3254171 3206878
094603 102674 1104 08 117764
326743) 323829i1 3201148 3153024
102771 1011554 119971 1279 77
Page 125
TABLE 13 ICONTINUED
lC bull 01300 lC bull 01400 X bull 01500 lC bull 01600 lC bull 01800
T -H HE -H HE -H HE -H HE _H HEIKI IJMOLE IJMOlE IJMOLEI IJMOLE IJMOLE IJMOLEI IJMOLE 1JMOLE I IJMOLEI IJMOLE)
0300 3372687 017413 3331638 018779 3290622 020111 3249642 021 408 3167814 023869 0350 336570 022394 3324222 024067 3282756 02569 32413l~ 3158645 0303070~~860400 3358565 027519 3316572 029524 3274627 03147 3232734 O 3 82 U 49121 0370140450 3351242 032740 3308743 0 35091 3266299 037386 32 t 3912 039624 313933 0439050500 3343192 038021 3300771 0 40731 3257811 043378 32 14914 0415963 3129330 050923
0550 3336238 043341 3292683 0 46417 3249193 049427 3205772 052368 3119154 058027 0600 3328596 048681 3214495 052130 3240466 055509 31bull 96509 05815 3108833 0651900650 3320871 054028 3276218 057856 3231640 061608 1 87138 065284 3098385 0723860700 3313058 059373 l267846 063581 3222712 067711 31middot776~9 071760 3087812 0middot79i990750 3305140 064704 3259363 0 6295 3213668 073804 3168057 078230 3077104 0middot86810 0800 3297079 010014 3250733 074989 3204473 079979 3158299 084681 3066231 094008 0850 3288818 075296 3241902 080654 3195073 085924 314834 091104 3055144 1011780900 3280282 080540 3232793 086281 3185395 091931 31 38090 091488 3043773 1083080950 3271311 085741 3223311 0 91863 3175344 097890 3127473 103823 3032031 115388 1000 3261969 090891 3213340 0 97391 3164807 103794 3iU372 110101 3019808 122406
1100 3241139 101011 3191388 108256 3141738 115402 3092188 122446 29 9340 1036214 1200 3216498 110843 31065660 118816 3114925 126686 30middot64296 134451 2963367 1middot496501300 3186321 120334 3134452 129012 3082690 137583 30310]6 146047 2928067 162633 1middot400 3149228 h29431 3095413 1 38787 3042708 148032 2990114 1057166 28 85274 1 7508710500 3099275 138086 30 45634 1 48086 2992106 157974 2938691 167749 2832218 186942
TABLE 13 ICONTINUED)
lC bull 02000 lC bull 02250 lC bull 02500 lC bull 0~750 lC bull 03000 HET -H -H HE -H HE -H HE -H HE
11( IJMOLE IJMOLEI IJMOLEI IJMOLEI 1JMOLE 1 IJMOLEI 1JMOLE I IJMOU IJMOLE IJMOLE 0300 3086192 026125 2984509 028600 2883270 030630 2182540 032152 2682380 033103 0350 3076190 033094 2973502 036195 28 71296 038815 2169633 040893 2668572 0423680400 3065773 040385 2962000 0 44185 2858742 047469 2156058 050180 2654004 052260 0450 31550~7 LIl 2950113 0 52455 2845736 056461 27 41960 059864 2638842 062610 0500 3044049 055579 29 37921 060926 2832369 165698 2727446 069141 2623204 013302
0550 3032858 063364 2925485 069539 2818712 075113 271252 080034 2607178 084249 0600 3021496 071225 2912844 0 78251 2804815 084653 2697460 090382 25908~9 095385 0650 3009986 0 79 135 2900025 0 87031 2790710 094283 26 82088 100140 2574210 106655 0700 2998333 087069 2887042 095851 2776415 103968 26 66500 111372 2557346 1middot180170750 29amp6531 095011 28bull 73890 104688 2761931 113682 26 50701 121947 2540247 129436
0800 297455 102942 2860548 113521 2747241 123401 2634678 132537 2522906 140881 0850 2962356 110849 2846974 122334 2732307 1033105 2618399 143117 2505295 15232 0900 2949870 118716 2833107 1 3110 2717072 142173 26018 10 153665 2487366 163740 0950 2937011 126531 2818865 139830 2701460 152388 2584841 164161 2469051 175105 1000 2923675 134281 2804149 148484 2685377 1061933 25 67402 174585 2450267 186397
1100 2895075 149537 2772820 165529 2651340 180745 25306T9 195143 2410878 208680 1200 2862897 164390 2737991 10 82134 2613880 199083 24 90606 215195 U 6821g 230428 1middot300 2825511 1078747 2698147 198194 2571536 216828 24 45718 234608 32091 251493 1400 27 80917 192525 2651182 213611 25 22276 233868 23 94238 253257 2267110 271736 1500 2126237 205643 2594485 228294 24 63577 250102 2333551 271027 2204447 2 91030
Page 126
TABLE 14
THE VAPOR PRESSURE 0 HE3 - HE4 50LUTrON~
P (TORR)
~ 00001 00002 00005 0middot0010 00020 00030 00040 10010 00060 00080
110
0300 2102-006 4204_006 1051-001 2101-005 4200-005 6295-005 8386_005 1047-004 1251-004 1670-004 0320 0340 0360 0380
3962-006 6961_006 1153-005 1817-005
7923-006 1392_005 2304_00S 3630-005
198a-005 347 _005 5718_005 9068_005
3919-005 6952_005 1151-004 1812-004
7910-005 1389_004 2298004 3617_004
1185-004 2080_004 3442_004 5417_004
1H9_004 2770_004 4~82004 7209-004
1971-004 3457_004 I717-004 1I991-004
2362-004 4143_004 6849_004 1077-00l
3140-004 s505-004 9099-004 1 431-003
0400 2746-005 5482-005 1369-004 2734-004 5457-004 8170-004 1087-003 t 356-003 10624-003 2156-003 0420 4007-005 7988-005 1992-004 3978-004 7937-004 1188-003 1581-003 1972-003 2361-003 3middot134-003 0440 0460 0480
5680-005 7865-005 l070-0il4
1middotU9-OO4 1555-004 2098-004
2810-004 3860-004 5180-004
56g8-004 76 4-004 1031-003
10 119-003 1534-003 2053-003
1614-003 2294-003 3070-003
2227-003 3052-003 4082-003
2middot777-003 3805-003 5090-003
3325-003 4555-003 092-003
4413-003 044-003 082-003
0500 1437-004 2783-004 681 8-004 1353-003 2691-003 4022-003 5347-003 6665-003 7976-003 1058-002 0520 0540 0560 0580
1916-0Q4 2550-004 3403_004 4569_004
3645_004 4734_004 6120_004 7903_004
8829_004 1128_003 1426_003 1789_003
1745-003 2217_003 2781-003 3451-003
3463_003 4386_003 5479_003 6761-003
5173-003 6545_003 8163_003 1005-002
687middot_003 8I9Z_003 1083_002 1333_002
8566-003 1083_002 149_002 1659-002
1025_002 1295_002 1613_002 1983-002
1359-002 1717_002 lU7-002 2 626-002
0600 6182-004 toZ2-003 2233-003 4247-003 8258-003 1225-002 122-002 2016-002 2409-002 3188-002 0620 0640
8434-004 1159-003
1328-003 1733-003
2779-003 3454-003
51 92-003 63U-003
9998-003 1202-002
1478-002 1769-002
1953-002 2333-002
2middot42middot002 J 1I94002
2897-002 3451-002
830-002 4558-002
0660 0680
1599-003 2211-003
2274-003 2middot998-003
4297-003 5356-003
7662-003 9277-003
1436-002 1709-002
2103-002 2485-002
2765-002 3258-002
3425-002 4026-002
4080-002 4789-002
5380-002 305-002
0700 304-003 3964-003 6691-003 1123-002 2026-002 2924-002 31117-002 4705-002 5588-002 1340-002 0720 0740 0760 0780
4205-003 5759middot003 7832-003 1057_002
5250-003 6951003 9183_003 t209_002
8381003 1052-002 1323_002 1665_002
1359-002 1646-002 1997-002 2425-002
2396_002 2829-002 3337_002 3936_002
3427-002 4005-002 4671_002 5439_002
4452_011 2 51 74_002 5996_002 6934_002
5472-002 6331-002 7315-002 8420-002
6486-002 7494-002 8626_002 9898_002
8 497-002 188-002 1 123- 00110 283-001
0800 143-002 1584-002 2096-002 2947-002 4642-002 6328-002 8004-002 9671-002 1133-001 1462-001 0820 0840 0860 0880
1813-002 2459-002 3199-002 4125-002
2063-002 2671-002 3434-002 4383-002
2U5-0OZ 3306-002 4136-002 5157-002
3585-002 4361-002 5304-002 6443-002
5477-002 6 463-00ii 7629-002 9005-002
7358-002 8553-002 9941-002 1middot155-001
9228-002 10063-001 1224-001 1409-001
1109-001 1270-001 1453-001 1661-001
1294-001 1 475-001 1680-001 1 911-001
1661-001 1883-001 2middotUI-001 2 4011-001
0900 I271-002 5554_002 6404-002 7816-002 1063-001 1343-001 1121_001 189-001 2172-001 2118-001 0920 0940 0960 0980
6677-002 8390-002 1046-001 1294_001
6988_002 8729middot002 1083_001 10334_001
7917-002 9742-002 1193-001 1453_001
9462-002 1143-001 1376-001 1652-001
1254-001 1478-001 1741-001 2047-001
1560-001 1812-001 2103-001 2440_001
186middot-001 21 4-001 2464-001 2831-001
216middot001 2474-001 2823-001 3220-001
2468-001 2802-001 3180-001 3607-001
3065-001 3 453-001 887-001 4374-001
1000 19-001 1632-001 1761-001 1976-001 2403-001 228-001 3251-001 2671-001 4089-001 4 919-001 1050 1100
2579-001 4028-001
2631-001 4089-001
2786-001 4273-001
3044-001 4578-001
3557-001 5186-001
4067-001 5790-001
4575-001 6392-011
5080-001 6990-001
5583-001 7585-001
579-001 8 166-001
1150 10200
6081-001 8907-001
6153-001 8990-001
6367-001 9U-001
6724-001 9650-001
7435-001 1047middot000
8142-001 1129middot000
8845-001 1210middot000
9545-001 10 291000
1024middot000 1312middot000
1162middot000 1 532000
1300 1768middot000 1779000 1811middot000 1865000 1971middot000 2077middot000 213000 2288middot000 2393middot000 2601000 1400 1500
3220+000 5468+000
3234middot000 5485000
3274middot000 5534+000
3341000 5616+000
3475+000 5779000
3608+000 5942000
3741+000 610middot000
3813+000 6265middot000
4005middot000 6 426000
4266middot000 47000
Page 127
TAeL[ 14 (CONTtNU[OI
p ITORRI
00100 o0150 00200 00250 00300 00350 00400 004S0 00500 00550 ~
110
0300 2082-004 3100-004 4096-004 5069-004 6015-004 6933-004 182Z-004 11681-004 9510-004 1031-003 0320 3913-004 5819_004 1682-004 9499-004 1126-003 1298-003 1463_003 1624-003 1718-003 1921-003 0340 6858_004 1019_003 1344_003 1661_003 1969_003 2261_003 2556 003 183S-003 3104_003 363-003 0360 1133-003 1682_003 2218_003 21~9-003 3245_003 3136_003 4211_003 4669_003 5112_003 5538-003 0380 1181_003 2643_003 3483_003 4299_003 5093_003 5861_003 6605_003 1324_003 A017_003 e 68S_001
0400 2684-003 3980-003 5243-003 6471-003 1662-003 8811-003 9935_003 1101-002 1206-002 )306-002 0420 3900-003 S180-003 761Z-003 9392-003 1112-002 1279-002 144Z-002 598-1)02 1150-00Z ]895-002 0440 5490-003 8135-003 1071-002 1321-002 1564-002 1199-002 2021-002 2247-002 260-002 2 666-002 0460 1518-003 10114-002 1466-002 1808-002 2140-002 2462-001 27H-002 3015-002 3367-002 648-002 0480 1005-002 1489-002 1959-0OZ 2416-002 2859-002 3289-001 3706-002 4109-002 4499-002 4875-002
0500 1315-002 1948_002 2562-00Z 3160-002 3739-002 4302-002 4141_002 50314-002 5885-002 6378-002 0520 1690-002 2501-002 3289_002 4056-002 4800-002 5522-002 6222_002 tIe99-002 7555-002 8189-002 0540 2134_002 3158_002 4153_00 2 51Z0-002 6059_002 6970_002 185middot_002 8710-002 9538_002 1 034-001 0560 2656-002 3928_002 5165_002 6367-002 1535-002 8668-002 9767_002 1083-001 1186-001 lch-OOI 0580 3261-002 4821_002 6338-002 1812-002 9245_002 1063-001 11 98_001 1329-001 1456_001 1 519-001
0600 3958-002 5847_002 7685-002 9471-002 1121-001 1289-001 1 53-001 1611-001 1765-001 )914-001 0620 4152-002 7016-002 9217-002 1136-001 1344-001 1546-001 1142-001 1931-001 2117-001 ZZ96-001 0640 5653-002 8middot331-002 1095-001 1349-001 1595-001 1835-001 2068-001 2294-001 2513-001 2 726-001 0660 66o6-002 98Z1-002 1289-001 1587-001 1871-001 2159-001 2433-001 2~99001 2 957-001 3 208-001 0680 7803-002 1148-001 1505-001 1853-001 2191-001 2~20-001 2114(-001 3150-001 3451-001 3144-001
0700 9073-002 1332_001 1146-001 21 48-001 2539-001 2920-001 3290-001 3649 001 3998-001 4337-001 0720 1049-001 1537_001 2011-001 2473-001 2923-001 3360-001 3785_001 41 99-001 4600-001 990-001 074 0 1206_001 1762_001 2304-001 2831-001 3344_001 3843_001 4328_001 4800-001 5259-001 5 705-001 0760 1380-001 2011-001 2625_001 3223-001 3805-001 4371-001 492Z-001 5451-001 5979-001 6 86-001 0780 1573-001 2284_001 2977_001 3651-001 4307_001 4946_001 51368_001 61 73 001 6762-001 7335-001
0800 1787-001 2585-001 3362-001 4111-001 4855-001 5572-001 6270-001 tI 950-00l 7612-001 8 255-001 0820 2024-001 2914-001 3782-001 46Z6-001 5449-001 6250-001 7030-001 7190-001 8530-001 9Z50-00l 0840 2286-001 3276-001 4240-001 51 78-0111 6093-001 6 984-001 7852-001 86911-001 9521-001 1032-000 0860 2577-001 ]612-001 4139-001 5178-001 6790-001 7717-001 8739-00 9~16-001 1059-000 1middot148-000 0880 2900-001 4107-001 528Z-001 64C8-001 7545-001 8633-001 9694-001 1073-000 1114-000 1 272000
0900 3258-001 4583-001 5874-001 71 33-001 8360-001 9556 001 1012000 186000 12970000 1405000 0920 3656-001 5105_001 651 9-001 1896-001 9240-001 1055000 118l000 1307middot000 1 4290000 1 547000 0940 4097-001 5619_001 7220-001 8123_001 1019000 116200(1 130Z000 14311000 1570000 1100000 0960 4588 001 308_001 7984_001 9619-001 11210000 1217000 1429000 1571000 1122000 ]863000 0980 5133-001 6998_001 881 6-001 10590000 1232000 14010000 11566000 727middot000 1884-000 2 037000
1000 5739-001 7155-001 9721-001 1164000 1351000 1534000 1112000 1887middot000 2051middot000 2 223000 1050 1566-001 9990-001 1235middot000 1466middot000 1692000 1912000 2121000 2middot33middot000 2543middot000 2143000 1100 9935-001 1281000 1561+000 1835middot000 2103000 2365-000 2620000 2810middot000 3115000 3354-000 1150 1299-000 1635middot000 19640000 228Smiddot000 2599middot000 2906middot000 3206000 3500middot000 3787middot000 4 068000 1200 1690middot000 2079000 Z460middot000 2832000 3196000 3552middot000 3900000 4242-000 4576middot000 4 902000
1300 2801 000 331 4000 3810middot800 4295000 47nmiddot00O 5237middot000 5o93middot000 6140000 6578middot000 1008000 1400 4526middot000 5165000 5791000 6404-000 7006-000 7596middot000 8175000 8743middot000 9300000 9846000 1500 7064middot000 7848middot000 8618-000 9373middot000 1011middot001 1084001 11560001 1226middot001 1295middot001 1middot36Zmiddot001
Page 128
TABLE 14 ICONTINUED
P ITORR
00600 00640 00650 00700 00750 00800 00900 01000 01100 01200 ~ 00
0300 1107middot003 10166003 1181middot003 1251003 1318middot00l 1382-003 1tSOOmiddotOOl 606middot00l 1700middot003 1 183-003 0320 2069003 211900l 2206003 2337middot003 2 46200l 2582_00l 2804_003 3003003 3182003 33l9003 0340 3611003 3803_00l 3850003 4079003 4298_003 4507003 4896_003 5241-003 556100l 1841-00l 0360 5948 003 6264003 6341003 6718003 7080_003 7425_003 8069003 8652003 917600 3 9 644003 0380 93~8_003 9824_003 9946_00 3 1054002 1111-002 1165_002 1267002 1359-002 1442_002 i 517-002
0400 1403-002 10418-002 1496-00Z 1586002 1 1171-002 1153-002 1907002 2047002 2 174-00Z 2 288-002 0420 2036-002 215middot002 2171-002 2301-002 2426middot002 2546-002 2770middot002 l975-002 3161-002 329-002 0440 2864-002 301 7002 3054-002 323a-002 3414-002 3583002 3901-002 41 9Z-002 457middot002 bullbull696-002 0460 3920-002 4130middot002 4181-002 4433-002 4675-002 4908-002 5346-002 5747-002 6114middot00Z amp447-002 0middot480 52~8-002 5520-002 5589-002 5926-002 6251-002 6564-002 71 52-002 769]-002 8189-00c 8 640-002
0500 6854middot002 7223middot002 731 4-002 7757-002 8183-002 8594-002 9369_002 OOA-OOI 1074-001 1 134-001 0520 8802002 9277002 9393-002 9964-002 1051-001 1104_001 1205-001 1297-001 1382-001 1460-001 0540 10 112middot001 J 172-001 1186-001 1259-001 1328-001 1396-001 1523middot001 ~640-001 1749001 1848- 001 0560 13113-001 458_001 1bullbull76001 1566-001 1654_001 1738_001 1891_001 044001 2180-001 2306-001 0580 1697-001 J 790-001 1812-001 1923-001 2031-001 2134-001 2331-0b1 2513-001 2682-001 2837-001
0600 20-8-001 21 70-001 2198-001 2333-001 2464-001 2590-001 2829_001 3052-001 3258-001 ]449-001 0620 2469-001 2604-001 2637-001 2799-001 2 956-001 3108-001 3397_001 3666-001 3915-001 4147-001 0640 29~2-00l 3092-001 3132-001 3325-001 3512-001 3693-001 4038-001 4359-001 4658-001 4 935-001 0660 3451-001 640-001 3686-001 3914-001 4135-001 4349-001 4756-001 5137-001 5491-001 5821-001 0680 4028-001 4249-001 4303-001 4570-001 4829-001 5079-001 51556-001 600]-001 6419-001 6 807-001
0700 4666-001 4923-001 bullbull 986-001 5295-001 5596-001 5887-001 6442-001 6962-001 7448-001 901-001 0720 5369-001 5664_001 5737-001 6094-001 6440-001 6776-001 741 1001 8018-001 8581-001 9 106-001 0740 6139_001 6476_001 6560-001 6968-001 7365-001 7750_001 8485_001 ~175-001 9822-001 1043 bull000 0760 6979_001 7363_001 7457_001 7922-001 8374_001 8812_001 9650_001 1044000 1118000 101870000 0780 7892-001 8326_001 8433_001 8959-001 9471_001 9967_001 10920000 101 810000 12650000 13440000
0800 88A2-001 9310-001 9491-001 10080000 10660000 11220000 12290 000 13300000 14250000 15140 000 0820 9951-001 10500000 10630000 11 300000 1194000 12570000 13770000 14900000 15970000 1697middot000 0840 10 11 00000 1171 0000 1186middot000 12600000 13320000 14020000 15360000 16630000 17820000 18950000 0860 1234middot000 13020000 13190000 1401middot000 14810000 15580000 17080000 1middota49deg000 19820000 2100000 0880 1030000 14420000 1461 0000 1551 0000 16400000 17260000 1891+000 2040000 21950000 23340000
0900 11510 0000 5930000 16130000 17130000 18100000 19050000 20870 000 2600000 24230000 25770000 0920 16630000 J753middot000 17760 000 1885middot000 1 9920000 20960000 22970000 24810000 26660000 28360000 0940 18260000 19250000 19490000 20690000 21870000 23010000 25200000 272~0000 29250000 31120000 0960 2001+000 21080000 21350000 22660000 23940000 25180000 2 bull 580000 29850000 32010000 3~OoOOO 0980 21870000 2304 0000 2333 0000 24750000 2614 0000 27490000 30U000 32A o OOO 3~9000 31170000
1000 2385000 2512+000 25430000 2698000 2848 0000 2990000 3279000 548000 38040000 40470000 1050 29390000 3093000 31310000 33180000 35010000 36790000 40230000 43510000 46630000 4 9590000 1100 31)87000 3771 0000 38160000 40390000 42510000 4471 0000 488~0000 52750000 I6500000 60070000 1150 43430000 45590000 4612000 4850000 51330000 53840000 5871 0000 336deg000 6780 0000 72040000 1200 5222000 54140000 55360000 58~2deg000 61420000 6436middot000 1005000 75490000 80690000 85660000
1300 74t90000 77600000 7842+000 8246000 86420000 90310000 97840000 10l1deg001 11200001 11860001 1~00 10380001 10800001 10910001 11 420001 11930001 12430001 13390001 14320001 15210001 16070001 1500 14~90001 1481001 1494001 1580001 16210001 16830001 1804 0001 9200001 2031+001 21390001
Page 129
tOO+8pound tOO+6ZtE tOO+Z61t 1000StOpound lOO+SSSZ lOO+tOZ toO+6ZS2 100middott2 100middotZEZ lUOZYZZ 005 I 10000pound9i tOO+6poundSZ tOOmiddotti tOOpoundIpoundZ 100SLlZ tOOotSOZ toO9t6 1 100middotS1 1009 ( 1006891 00 1 100096 1OO+6St 1000Jnt toOSZ I 1000tZ91 tOOSZSol 1000Z1 10069pound1 100Upound lOOoOSZt OOtI
1000Z 100pound1 100Wtpound1 1000poundSZt 1001111 100Ottl 100poundpound01 000Z6deg6 000pound66 000006 OOZI 100pound611 100SSt1 1006011 toOSSOt 000+poundZ66 000pound6 OOOSOS OOOoIlStS 000Z66 0000SU9 OStl OOOopoundHO 0006096 000+0Z6 000096S 0000S2S OOOotos 00099Z 000+S69 000699 000+9pound9 OOtt 000 at 000Z06deg OOOoWoy OOOmiddotziZ 000middotOU9 00009 000000 00019S OOOSOSS OUOot1ZS OSOt 00064]deg 000019 000_01l14 000+6611S 000+pound9SS 000-6ZS 00006S 000+00 00006 OOOoLZ OOOt
000-pound09 OOOOLliS 00099 00060 S OOOoOts OOOolllS 00006 000091pound OOOmiddotUt 000SZ6pound 01160 OOO-LOSS 000-19poundS OOoyt 000-L6 000-04 0001 h OOO-Stt 000-poundS6pound 000-19E ouO-S6Spound 0960 OOomiddotttoS OOOmiddotZSs OOOoLt OOOozt 0000Z9Z OOOoZO 0006Spound 000119pound OOOmiddotSs~ 000s8Zpound 0iJ060 00095 0000poundpound 00009I1Z OOO-lOl OOOIILIipound 000 0999degpound OOO+npound 00006Zpound OOO+hl Ii 000-966Z 0260 000_ tt1 0000 ltO OOO_ZSIIpound OOO-slLpound OOO-Uipound ooooapoundpound 000_1101pound 000-1I116Z 000-6SSZ OOO-zeZ 0060
OOO-poundOipound 000-19pound OOO-poundOSpound 000-5poundpound 000-6Llpound 000-600pound OOOopoundlSZ OOOoOZ 00006SS2 OOOoSZ 09S0 OOO-Zpoundpound OOOoOSZpound OOOoO~Ipound OOOopoundZOpound 000-9SZ OOO-ZtLZ OOOLpoundSZ OOO-OZ 00009poundpoundZ OOOSZZZ 09S0 000_U6Z 000middot1I06Z OOOotZioZ OOO-oUZ OOOmiddotOLSZ OOO-SpoundZ 00006lZZ 000-Z61Z OOOOOPZ OOO+OOOZ oeo 000_S9Z 000middott6SZ 0009tSZ 000061Z OOOhzZ OOO-UtZ 00006pound0Z 000-Z96t OOOOSS[ OOOotOL1 OZSO OOOopoundpoundZ 00001l6ZZ OOOopoundZZ OUOolstz OOOoZOZ 0000Spound61 OOOUSl 00006L1 000+9L9 000L6t OOSO
000-S90Z OOOoLZOZ OOOoELfIt 000degto6t 000-80St OOOmiddotLtL 0000019t 000-lSS OOOdegLa ( OOOmiddotst1 OSLO OOOottSt OOO-OSLl 0000poundL1 OOOmiddotZLIj 000Z6St 0000pound14]1 OOOmiddotlZl 000S9pound1 OOO-ZIpound OOOzszt 09L0 OOO-SLS1 OOO-poundSSl OOO-SHiL 000-pound91 000middot6pound 1 00009Zpound1 000-9Z1 00010Z1 OOO+ZSI 000-6601 hLO OOO-Lpound OOO-Lpoundl OOO+SIpound1 OOO-ZLZl OOOmiddotIZt 0009St1 000-9801 OOOmiddotLOl OOOSOO 100-90S6 OUO 0009Llt 00000911 OOOoSpound1 1 0000S601 000601 00000001 100-116 tOO-LLO6 100-18 100-poundZpoundS OOLO
000_00 100-SI66 tOO-middotlLo 100-16 100-LOO6 100-pound6SS 100-60S 100-0111L lOO-ZOSL tOO-SlItL OS90 tOO-EOS 100-Z11I tOO_lSZ 100-S00S 100-tL9L tOO-LZpoundL 100-S009 100-6999 100-60 100-9Z19 0990 100_11pound1 100-pound0 100_e69 100-ESL9 100-1lL9 100-619 lOO-9SS 100-L9S 100-6Z tOO_Z61S 09 0 too-Spound~S 100-16SS tOO-S6Le l OO-lIjS 100-0ZS t OO-S~il1degS 100-Z06 100-LtLdeg tOO-LSS 100-01pound OZ9deg0 tOO-poundS9 tOO-SSllo 100-middotSL 100-9 100-8S 100-tOpound tOO-690 100-t6pound 100-9f1L( 100-S~9pound 0090
100-1L6pound tOO-5S6t 100-06pound 100-poundlSpound 100-iL9pound tOO-LlSpound 100-0tOpound 100-IpoundZmiddotpound tOO-ztt ~ 100-OiltgtZ Oaso 100-681pound 100-Z91degpound 100-9t li toO-LOpound lOO-ZL6Z 100-9SSZ tOO-aOLoZ 100-t29Z tOO-zSZ 100-1oZ 0950 100-ZSi 100-ZSZ too-Los 100-tOZ tOO-tLtOZ 100-lI1ZZ 100-991degZ 100-8602 tOO-poundZOZ tOO-O~middott OirSO 100-L96deg 1 100-U61 tOO-LS6 1 too-~Z~o 1 100-Z9S1 tOO-6Lol lOO-90tt 100-S91 100-S6So 100-1(S1 OZSO [OO-OSl 100-E1Sol 100-iOi L [OO-n t 100-8pounddeg1 100-88poundt tOO-Zzpoundt toO-Z8Zmiddot1 100-UZt tOO-Silll OOSO
100-tEtdegl tOO-6pound1 t 100-11pound 1ot tOo-Oinot 100-0601 100-ESO1 tOO-SOool ZOO-tSL6 ZOO-6U6 ZOO-OiO6 OQOZOO-60ti 200-IIpoundoS ZOO-ZapoundoS ZOO-eeZs ZOo-zsOs ZOO-SZSL ZOO-SLL ZOO-09ZL ZOO-610 ZOO-S9 090 ZOO-poundS6degmiddot ZOO-ZOmiddot9 ZOO-iltOq ZOO-SS6S ZOO-OSSS ZOO-gOs ZOO-6lS lOO-eLlS 200-90tS ZOO-poundt6deg 00 ZOO-Imiddotmiddot ZOO-tOZ ZOO-Opounde ilOO-OZ ZOO-OZ1 ZOO-poundOO ZOO-LpoundSpound ZOO-Ettt lOO-SI9 ZOO-Owpound OZO ZOO-96LZ ZOO-SZ ZOO-OLez ZOO-098degZ ZOO-UsoZ ZOO-LHZ ZOO-Sl9Z ZOO-65SZ ZOO-OSoZ ZOO-Otltz 00deg0
ZOO-US1 ZOO-SSol ZOO-LiIl ZOO-USl ZOO-osst ZOO-SOSI ZOO-9poundL t ~00-tf9I ZOO_Z901 ZOO-poundilS1 OaEO ZOO-ltl ZOO-6S11 ZOO-LL I L ZOO-OSIl ZOO-L9tt ZOO-1lmiddot 1 zOO-OOldegl ZOO-(LO1 ZOO-ZtOO ZOO-90001 09pound0 EOO-pound69 EOO-6I1S9 poundOO-OZOL pound00-90L pound00-1I00
0 L EOO-US9 pound00-09 poundOO-n EOO-I0t pound00-110 0pounddeg0
pound00-poundpound1 pound00-6SSpound EOO-~~r (00-066pound EOO-ZL6t pound00-06pound EOO-leLpound poundOO-L69E pound00-96S( poundOO-Upound OlpoundoO pound00-16 pound00-9102 poundOO-ZLO~ EOO-[OZ poundOO-Z01Z tOO-ZLOZ EOO-110Z pound00-6961 pound00-Lt6deg1 pound00-S58I OOEO
000pound0 OSLZO OOSZO IISZZoU OOOzmiddotO OOelO 00910 OOSlO 0010 00pound10 ~
U1~Ol1 cI
(QiON1INO) t i1BYI
TABLE 15
THE HE3 CONCENTRATION TN THE VAPOR ABOVE HE3 - HE4 SOLUTIONS
XV
00001 0On02 00005 00010 00020 00030 0004 0 0005 0 00060 00080
C1()
0300 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0320 0340
09999 09998
10000 09999
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000ioooo
10000 10000
0360 09995 09997 09999 09999 10000 10000 10000 10000 10000 10000 0380 099 87 0 9993 09997 1)9999 09999 10000 10000 100 00 10000 10000
0400 09970 09985 09994 09997 09998 09999 09999 09999 09999 10000 0420 0440
0middot993g 098 79
09969 09lt139
09998 099 76
09994 u9988
0middot9997 0middot9994
09998 09996
09998 09997
09999 0999 7
09999 0 9998
09999 09998
0460 09711 09881 09955 09977 09989 09992 09994 09995 0 9996 09997 0middot480 0 96 20 0 9A O 09921 0 9960 0 9980 09987 0 999 0 0 9992 09993 0 9995
0500 09377 09678 098l-1i1 09934 09967 09978 09983 09986 09989 09991 0520 0540
09032 08570
09491 09230
09790 09677
098q4 09835
09946 09917
09964 09944
09973 0995
09978 09966
09982 09972
09986 09979
0560 07988 0 8881 0 9 520 09753 09875 09916 0 9936 09949 0995 7 09968 05ac 07300 08439 09310 09642 09817 09877 099 07 0992_ 09937 09953
0600 06538 07906 09041 09496 09740 09825 09868 09A93 09911 09932 0620 )0640 0middot160 0middot680
0middot5744 04961 0middot4225 03561
0729 06631 05940 05251
08708 0 8310 0 7851 07342
u9308 0 9075 08795 08 465
0middot9641 0 9 514 0middot9357 0 9 167
09757 09(69 09560 09427
0981 0 9 149 0966(1 09563
09amp52 09798 09730 09646
09876 0 98 30 0 9773 0 9702
09906 0 987 1 09828 09714
0700 02981 04593 06796 118090 08942 09267 094 3 0 9544 0961 6 09708 0720 0740
02486 02071
03982 03431
06230 05661
07675 07227
08681 08386
09078 08860
09290 091111
0 9423 0928 0
09513 09391
09628 09534
0760 01727 02944 051(4 067lt5 08060 08614 089 21 09115 09250 09424 0780 01443 02522 04572 06272 07705 08340 086911l 08928 n9088 09297
oeoo 01210 02159 04075 05787 07327 08040 08451 0 871e 0middot8906 09153 0820 0840 0860
0101 9 00863 00 734
01850 01588 01367
036 18 03205 028 34
05311 1)4851 04414
06933 06528 06120
07718 0737 07024
08181 0 7892 07585
0S4iT 08236 07966
08704 08482 0 8243
0899 1 08812 08616
0880 00627 0118 0 0Z506 04005 057 14 06662 07264 0768 1 07986 08404
0900 00539 0loe3 02216 03626 05317 06295 116934 073113 0 77 16 08177 0920 0 940
00466 0040 4
00890 00777
01 962 01 7 39
03278 029 61
0middot4932 0middot4564
05930 05570
06597 06259
0 7 075 0676 1
0 7434 07143
07937 0768 6
0 960 0980
00353 00309
0068 1 00600
01545 01375
02675 0241fgt
04 216 03888
05218 04878
()592~ 05590
06444 06127
0 6846 06546
07425 07157
1000 00272 005311 01227 021 A5 03582 04553 05266 05813 06245 06884 1050 1100 1150
0020~ 00154 00119
00396 00303 00236
009 34 00723 00570
)1708 I1348 VI077
0291 4 02373 01943
0J811 03179 02653
0450~ 038 2Q
03247
05057 04365 03751
05501 0 48 13 041A4
06196 05523 04889
1200 00095 001 88 00456 00811 01601 02222 02156 032l0 03627 04308
1300 00063 00124 003 05 00592 01117 01586 020011 02386 002730 03332 1400 0middot0044 00087 00215 00421 00808 01164 01 493 01198 0 02081 02591 1middot500 0middot0032 001164 001lt9 00312 0-0606 000881 01140 0138 15 0161 6 02042
Page 131
TABLE 15 (CONTINUED)
XV
~ 001()0 00150 00200 00250 00300 00350 00400 00450 00500 00550
(I()
0300 10000 10000 10000 looon 10000 10000 1000n 1000n ]0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0360 10000 10000 10000 10000 10000 10000 10000 10UOO 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 100UO 10000 10000
0400 10000 10000 10000 10000 100000 10000 10000 10000 0000 10000 0middot420 0440
0middot9999 0middot9991i
10000 09999
10000 09999
10000 119999
10000 10000
10000 10000
10000 10000
10000 10000
]0000 10000
10000 10000
0460 09998 0999A 09999 09999 0middot9999 09999 09999 09999 09999 09999 04 0 09996 09997 09998 1)9998 0middot9998 09999 0 9999 09999 0 9999 09999
0500 09993 09995 09996 09997 09997 09998 0999A 09999 09998 09998 0520 0540 0560 0580
09981i 09983 09974 09962
09992 09988 09982 09974
09994 09991 09986 09980
09995 09993 09989 09984
09996 09994 09991 09986
09996 09995 09992 09988
09997 0999i 09993 09989
09997 09996 0999] 09990
09997 0999t) 09994 09991
09998 09996 09994 09992
0600 09945 09963 09972 09977 09980 09983 099811) 09986 0 9987 09988 0620 0640 060 06f1O
09924 0middot9896 0middot9861 0middot9817
0994 09929 099015 0987c
09961 0 9946 09928 09905
09968 09956 09941 09923
0middot9973 0 9963 0middot9950 0middot9934
09976 09968 09957 09943
09979 0 9971 09961 09949
09981 09Jfh 09965 09954
0middot9912 0 9976 09968 09958
09984 09978 09971 09961
0700 09763 09839 09877 09900 09915 09926 09934 0994 1 09946 09950 0720 0740 070 0780
09699 09622 09531 09427
09794 09741 09679 09606
09843 09802 09754 09698
09872 119839 09800 09754
09892 09864 09830 09791
09906 09881 09852 09819
0991 09895 09869 09839
09924 09905 0 9882 09855
09931 0991 3 09892 09868
09936 09920 09901 09878
081)0 09308 0 9522 09633 09701 09746 09779 09804 09823 09839 09852 08~0 09173 09427 09559 09640 09695 09734 09764 09787 09806 09821 0840 0middot9023 09319 09475 09571 0 9636 09683 0 9719 0976 09769 O97S7 0860 08f1O
08857 08676
0 9200 09068
09381 09277
09494 09408
0 9570 0middot9496
09625 09561
0 9667 09610
0 9700 0961t9
09726 0 9679
09748 09704
0900 0920 0940
08lt81 08273 08053
08924 0876R 08600
09163 090)8 08903
09312 09208 09095
09415 0 9325 09227
09489 09411 09325
0954 0947 09399
09590 09521094amp
09626 09568 09501t
09656 09602 095lt3
0960 09AO
07822 07582
0842t 08234
08758 08603
08973 08842
09122 09008
09231 09130
09315 09224
09J81 0 9299
094)5 09359
09479 09409
1000 07335 08037 081t40 08702 0R886 09022 09127 09210 09278 09334 1050 1middot100 1middot150
06699 06059 Q5438
07513 06960 06398
07998 0751 9 0701 7
08321 07899 01449
0middot8550 0middot8175 0middot7768
08722 08384 08013
0885 08548 08207
0896) 08680 08365
0 9050 0middot8788 0middot8496
09U3 08879 08605
1200 04855 05845 06508 06983 0middot7341 07619 0784) 08025 08178 08307
1300 03840 0481Fl 05522 06052 06466 06798 07070 07298 07491 07656 1400 1500
0)038 02425
03944 0323
04636 03884
05192 04416
05623 04859
05987 05234
06292 0555
06552 05835
06776 06080
06971 06295
Page 132
TABLE 15 (CONTI NUEO)
XV
00600 00~41) 00650 00700 00750 00800 00900 01000 011 00 01200~ 00
0300 10000 10000 10000 10000 10000 10000 10000 1000 0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 03~0 10000 10000 10000 10000 10000 10000 10000 10g00 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000
0420 10 0000 1000t) 10000 10000 100000 10000 10000 10000 1middot0000 10000 0420 1middot0000 10000 10000 10000 10000 10000 10000 10000 0000 10000 0440 1middot0000 10000 10000 10000 1middot0000 10000 10000 10lOO middot0000 10000 04~0 0middot9999 10000 10000 10000 10000 10000 10000 10UOO 1middot0000 10000 0480 0middot9999 09999 09999 09999 0 9999 09999 09999 09999 0 9999 09999
0500 09999 09999 09999 09999 09999 09999 09999 09999 09999 09999 0520 09998 09998 09998 U9998 09998 09998 O999~ 09998 09998 09999 0540 09996 09997 09997 09997 09997 09997 09997 09998 09998 09998 0560 09995 0999~ 09995 09995 09996 09996 09996 09991 099970999 0580 09992 09993 09993 09993 09994 09994 09994 09995 09995 09995
0600 09989 09990 09990 09990 09991 09991 09992 09992 0middot9993 09993 0620 0middot9985 09986 09986 09987 09987 09988 09989 09990 09990 09991 0middot640 09979 0 9981 0middot9981 09982 0middot9983 09984 09985 0998~ 0 9987 09988 0middot660 09973 09974 09974 09976 09971 09978 09980 09981 0middot9983 09984 0middot680 09964 09966 09966 09968 0middot9970 09971 09914 09976 0middot9977 09979
0700 09954 09956 09957 09959 09961 09963 09966 09969 09971 09972 0720 09941 09944 09945 09948 0middotQ951 09953 09951 09960 09963 09965 0740 09926 09930 09930 09935 09938 09941 09946 09950 09954 09956 0760 09908 09913 09914 09919 09923 09927 099]3 0 9939 0993 09946 0780 09887 09893 09894 09900 09906 09911 09918 0 9925 09930 0993
0800 09862 09870 09871 09879 09886 09891 09901 09909 0991 5 09920 0820 09834 0984] 09845 09854 0middot9862 09869 09881 09890 0middot9898 09904 0840 09802 09813 0 98 15 9826 0middot9836 09844 09858 09870 09879 09886 0860 0middot9766 09779 09781 09795 0middot9806 09816 0 9833 09A 0middot98S7 09866 0880 0middot9726 09740 09744 09759 0middot9773 09784 098 04 094120 0middot9833 09843
0900 09681 09698 09702 09720 0973 09749 09772 09790 09805 09818 0920 09631 09650 09655 09676 09694 09710 09737 09758 0middot9775 09790 0940 09576 09s99 0960 09628 09649 09667 09698 09722 09742 09759 0960 09516 09542 09548 09575 09599 09620 0965S 09083 09706 09725 09~0 09451 09481 09487 09518 09545 09569 09609 0 964 1 09667 09689
1000 09381 09414 09422 09457 09487 09514 09558 09594 0middot962 09649 1middot050 0middot9184 09227 09237 09282 0middot9322 09357 09416 0940 0middot9503 09536 1middot100 0middot8956 09010 0middot9022 09080 0 9 130 09175 09250 0931+ 0 9362 0middot9404 1middot10 08699 08765 08780 08851 089 13 08968 09061 091 3 0middot9200 09253 1middot200 0841 8 08496 0851 4 08598 0middot8672 08738 08850 08942 0 9011 09083
1300 07800 07901 07925 08036 08135 08224 08375 0 850 1 08607 08697 1410 07143 07266 07295 074)0 Q7551 07661 07851 080 10 0middot8144 08261 1500 06481 06626 06659 06813 06953 07081 07304 07492 07655 07795
Page 133
68880 Tl880 lZL8deg0 1980 S880 19pound80 l1ZS0 alSO L20S0 S16L0 OUS1 OpoundUO OL060 deg006middot0 L1680 9188deg0 8lL80 66S8n 8aSS0 OsSO 19pound8deg0 00[ 6pound6deg0 50pound60 SZ60 pound616deg0 81160 060 556S00 Z0680 a88deg0 LUoo OOE
Spound560 60amp60 H60 ~E6deg0 08pound60 6Zpound60 LIi~60 6ZZ60 L816deg0 6pound160 OUZl 02960 L6560 69i60 iE56deg0 66deg0 pound560 Zh6deg0 ZLpound6deg0 8poundE60 86260 05tot 696deg0 9L960 CQ60 _296deg0 _656deg0 pound956deg0 poundZ56deg0 6660 ZL6deg0 060 OUt 0
85L60 5L600 8L60 80L6middot0 8960 6596deg0 82960 6deg96middot0 88560 956middot0 OOt 1860 OS60 l6L60 LLL6middot0 65L60 HoL60 8U60 OL6middot0 8896middot0 OL960 000
pound96middot0 Sa86middot0 1860 Z086middot0 98L6middot0 69L6deg0 6tL6deg0 LpoundL6deg0 tU6middot0 LOL60 086middot0 Z586middot0 86 0 -pound1260 2860 Ot96middot0 96L6middot0 8LL6middot0 89L60 9SL60 ZL6deg0 0160 69860 Z9860 551160 860 poundpound86
00 12960 S0960 96L6deg0 98L60 ELL60 060
S8860 6L8600 ZL860 9860 5860 pound860 OE860 22860 pound1860 Z0860 OZ60 66860 6860 68860 Z8860 poundL8b0 986middot0 Z586middot0 5860 8pound86deg0 6286middot0 006middot0
2166middot0 80660 E066middot0 L696middot0 0686deg0 Z886deg0 poundLe6deg0 L986deg0 09860 2586 0 0 088middotU Z66deg0 12660 LU6deg0 Z166middot0 506600 6686deg0 16860 98S60 0896deg0 L86deg0 098deg0 5pound66deg0 Zpound6600 6266deg0 266deg0 61660 166deg0 L066deg0 pound0660 ij6860 pound6860 0 08deg0 bullbull66deg0 2660 6pound66deg0 11pound660 2pound6b0 Ll660 22660 81660 t660 01660 0~90
pound5660 15660 6660 66middot0 pound66middot0 6pound660 pound66deg0 2pound66deg0 ~2660 5266middot0 0080
09660 6i660 L5660 i566deg0 25660 6660 9660 pound660 166deg0 9pound660 OtiLO L9660 99660 59660 pound9660 19660 8566deg0 55660 415660 (566middot0 6660 OJILO poundL660 2L660 0 U660 ~L660 89660 99660 9660 29660 (966deg0 65660 OtLO 9L660 L~66O LL66deg0 L660 L660 EL660 U66n OL660 89660 L9660 OZLO 2866deg0 2866
0 0 18660 0866deg0 6L66deg0 8L660 U66deg0 9~660 itL66 deg 0 U660 oOLO
98660 96660 5866deg0 l966deg 0 866deg0 pound866 00 2866 00 1866deg0 1866deg0 0866 00 0~900
6966 00 6t1660 0 9866deg0 ~86600 L866deg0 LS660 98660 911660 58660 866deg0 Oli9middot0 16660 166600 166bull0 16660 06660 066600 68660 68660 6S660 98660 090 pound6660 pound6660 pound6660 pound666middot0 pound6660 pound6660 26660 Z6660 C666middot0 1666middot0 Ol9deg0 56660 5666deg 0 -6660 6660 5666middot0 56660 666degn 416660 6660 6660 OU9deg0
96660 96660 96660 11666middot0 111666deg0 96660 9666deg0 9666deg0 9666deg0 S666middot0 O~lO L666deg0 L6660 L 6deg0 L666deg0 ~666middot0 L6660 L6660 L6660 L666middot0 L6660 osmiddoto 86660 86660 96middot0 tl666deg0 11666middot0 96660 8666middot0 8666deg0 tl666middot0 86660 050 6666deg0 66660 6666deg0 00660 66660 6666deg0 6666deg0 66660 06b60 6666deg0 o~smiddoto
6666deg0 6666deg0 66660 0666 0 66660 66660 6666deg0 66660 6666middot0 6666deg0 OOSmiddotO
66660 666600 001)01 0000deg1 6666middot0 6666middot0 6666deg0 0666middot0 tgt66600 OlJmiddotO ggggl 0000deg1 0000middot1 oooOmiddott 0000deg1 deg t 0000 01 OOOOOt 0000deg1 OOUOmiddotl OUOOmiddotl 0deg0 OOOoot 000001 001001 00001 0000deg1 00001 011001 0000middot1 0000middot1 0bullbullmiddot0 00001 ()OOOt 4000deg1 ~ 0000deg1 00001 0200 oOOot 0000deg1 000 I OUOOot 01gt00middot1 00001 0000 01 000deg1 0000deg1 0000deg1 00000( 00001 0000deg1 OOuool 00001 00deg0
OOOOt 000001 OOOOt 0000( 00001 0000deg1 00001 0000deg1 0000middot1 0000deg1 OijpoundO 0000middot1 OOOooL 0000deg1 00001 0000middot1 00001 0000middot1 0000-1 uooomiddott 0000middot 01(0 00001 0000middot t 001)01 00001 0000middot1 0000middot1 00001 00001 ~ ouOOmiddotl 0pounddeg0 0000middot1 0000deg 00001 00001 OOOOOt 0000deg1 00001 OUOOl UOOOol 0000deg O~poundU OOOOt 00001 110001 0000deg1 00001 0000deg1 0000middot1 0000middot1 0000middot1 ~ OOEmiddotO
000pound00 OS~2middot0 OOiZoO OillO OOOZmiddotO 0081deg0 0091deg0 00510 0091deg0 00pounddeg0 ~
fll(
(Q3m~UNOgt 5( 318-1
00
3Table 16 The Enthalpy and Entr opy of He Along the Solubility Curve and the Heat Absorption Rate of the Dilution Refrigerator
T Xt H3 (Xt T) S3 (Xt T) H3 (Xt T) - H3deg(T) (TmTi)Q=O
(O~) 3(Jmo1e He )
3(JoK mole He ) 3
(Jmo1e He ) T=T m
0000 0064000 00 00 00
0001 0064000 9451 x 10-5 010716 8188 x 10 -5 0365
0002 0064002 3781 x 10 -4
02143 3277x10-4 0364
0004 0064007 1 513 x 10 -3 04286 1312x10-3 0361
0006 0064016 3404 x 10-3 06427 2954 x 10 -3 0359
0008 0064029 6050 x 10-3
08567 5254 x 10-3
0357
0010 0064045 9452x10-3 10705 8214x10-3 0355
0015 006410 002125 1604 001850 0349
0020 006418 003772 2134 003288 0345
0025 006429 005881 2660 005132 0339
0030 006443 008443 3182 007377 0334
0035 006459 011448 3697 010012 0329
0040 006480 014884 4206 013028 0325
0045 006503 01873 4705 01641 0320
0050 006530 02298 5195 02014 0316
0060 006596 03257 6141 02857 0306
0070 006680 04347 7032 03813 0298
0080 006784 05549 7867 04865 0289
0090 006906 06844 8643 05995 0281
010 007042 08213 9362 07186 0274
012 007361 11122 10643 09699 0262
014 007731 1 4190 11739 1 2328 0255
016 008157 1 736 12670 1502 0250
018 008628 2058 13468 1 774 0247
020 009144 2383 14154 2046 0245
025 010618 3195 1549 2718 0245
030 012363 3988 1643 3364 0252
035 014373 4749 1710 3975 0260
040 01665 5471 1759 4 541 0271
045 01918 6150 1796 5061 0283
050 02201 6732 1822 5478 0297
055 02527 7338 1839 5916 0311
060 02908 7810 1846 6216 0326
Page 135
TABLE 17
THE HE3 CONCENTRATION SPECIFIC HEAT AND ENTROPy AT CONSTANT ~4
T III m
0000 DEGREES T m
0010 DEGREES Tm 0020 DEGREES
T X Cfgt4 53 X Cfgt4 53 X C~4 53 (K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K)
0000 006400 00000 0001)0 0001 0064011 0107C 01072 0002 006399 02144 02143 1)003 006398 03217 03215 0004 006396 04290 04288
0006 006391 06443 0middot6434 0008 006383 0860 4 08583 0010 006374 10177 10737 006404 10745 10705 0012 006362 12964 12894 006393 12925 12856 0014 006349 15168 15058 006379 15122 15013
0016 1)06333 17391 17228 006364 17339 11171 0018 006316 19637 19406 006346 19578 19348 0020 006296 21907 21592 006326 21842 21528 006418 21645 21331 0025 006238 27104 211OD 006269 27621 27019 006360 27375 26779 0030 006169 33693 32677 006199 33593 32580 006290 3middot3294 32290
0035 006088 39888 38333 006118 39770 38219 006208 39418 37880 0040 005997 46282 44074 006026 46146 43943 006116 45742 43553 0045 005896 52846 49903 005925 52693 49755 006014 52240 49314 0050 005786 59564 55816 005815 59395 55651 005903 58895 55161 0060 005541 73202 67879 005575 73009 67681 005660 72435 67092
0070 005289 86727 80182 005316 86518 79953 1105399 85892 79272 0080 005022 99790 92623 005048 99571 92365 005128 98921 91598 0090 004755 112071 105096 004780 1l185S 104812 1104856 111205 103968 0100 004494 123295 117500 004518 123082 111193 004591 122446 116281 0120 004009 141442 141746 004031 141265 141403 004098 140840 140380
0140 003585 156269 164861 003605 162838 164491 003665 161448 163389 0160 003182 164656 187486 003200 165749 187085 1103259 165830 185794 0180 002908 175207 207065 002924 172729 206659 002974 172843 205449 0200 002654 181627 225819 002669 181539 225403 002714 161273 224163 0250 002155 192703 267752 002167 192629 267319 002204 192403 266030
0300 001806 197727 303369 001817 197703 302925 001848 197634 301600 0350 0400
0middot01551 001356
201378 203670
334078 361131
001560 001364
201326 203647
333632 360677
(101586001387
201166 203580
332303 359322
0450 001203 205341 385205 001210 205319 384749 001231 205265 383393 0500 001079 207311 406925 001085 207267 406466 001104 207124 405100
0550 000977 209525 426780 000982 209480 426317 1100999 209355 424935 0600 0650
000890 000815
211960 214933
445111 4621A8
000895 000819
211917 214842
444643 461716
000910 000834
211778 214654
443252 460311
0700 000749 218847 478254 000753 218781 477774 000766 218554 476354 0750 000690 224606 493538 000694 224507 493054 1gt00706 224094 491613
0800 000635 233202 508299 000639 233033 507806 000650 232577 506334 0850 000583 247028 522826 000587 24677tJ 522321 000597 246067 520817 0900 000531 268309 537531 000535 267920 537007 000545 266765 535449 0middot950 1000
000478 000421
297390 331787
552922 569838
000481 000424
301574 333057
552370 569242
100491 000433
299752 331382
550730 567414
1100 000283 704503 614275 000286 693165 613469 000294 676812 611083 1200 000098 1738501 714579 000100 1677101 710943 000108 Itgt1J305 705365 1300 000000 000000 000000 1400 000000 000000 000000 1500 000000 000000 000000
Page 136
TABLE 17 (CONTINUED)
T m
II 0050 DEGREES T m
bull 0100 DEGREES Tm a 0200 DEGREES
T X Clo4 53 X CIlo4 53 X Cf4 53 IK) (JMOLE-K) CJMOLE-K) (JMOLE-K) (JMOLE-K) (JMULE-K) CJMOLE-KI
0050 006530 55557 51950 000000 00000 00000 000000 00000 00000 0060 006270 68655 63235 000000 00000 00000 000000 0middot0000 00000
00 70 005989 81771 74805 000000 00000 00000 000000 0middot0000 00000 0080 0middot05696 94606 86566 000000 00000 00000 0middot00000 0middot0000 00000 0090 0100
005401 005113
106847 1181A5
98424 1100281
000000 007042
00000 107161
00600 93624
000000 UOOOOO
0middot0000 00000
00000 00000
0 120 004 571 137293 133640 006307 126129 114848 000000 000000 00000
0140 004092 156793 156114 005656 146070 135676 000000 00000 00000 0 160 Ol AO
003653 003327
163652 171204
177909 197439
005061 004604
155667 164952
156134 174878
000000 000000
0middot0000 0middot0000
00000 00000
0 2 00 003037 179369 215941 004201 173821 192764 009144 164768 141542 0 250 002467 190964 257442 003412 187054 233201 u07228 179647 180039
0 3 00 002068 197137 292804 002858 194075 267968 u05973 188660 213658 0 35 0 0 4 00
(l01H6 001553
200234 202994
n34fl 350331
002453 002145
198430 201291
298213 324896
U05086 U04425
194110 197611
243173 269326
)450 001378 205010 374367 001903 203481 348720 003914 200048 292741 0500 001236 206535 396039 001708 204712 370237 003507 201931 313911
0 550 001119 208399 415799 001548 206821 389813 003175 20middot3386 333225 0600 001020 210771 414025 001412 208861 407902 002898 204920 350978 n650 000935 213497 451000 001297 210600 424690 002664 20middot6195 367435 071)0 000861 216978 466944 001196 213002 440377 002461 20middot7636 382765 0 750 000794 22191H 482076 001106 216663 455190 1102285 210191 397161
0 8 00 000733 229486 496632 001025 222308 469343 002128 212345 410815 0amp50 000675 241307 510879 000950 230723 483062 001985 217372 423801 0900 000618 2596~7 525170 000878 243589 496597 001854 223342 436408 0950 000560 288207 539953 000806 263229 510274 001729 231609 448695 1000 000498 321825 555896 000131 289821 524529 001607 244603 460892
1100 000354 580966 595964 000565 305216 557481 001358 288125 486278 1200 000162 1230201 671211 000355 1001625 606464 001079 363583 515631 1 300 000000 000078 2840930 750865 000742 115849 556015 1400 000000 000000 000317 1501686 634901 1500 000000 000000 000000
TABLE 17 (CONTINUED)
T = 0300 DEGREES T 0400 DEGREES T OIOO DEGREES m m m X CJJ4 53 X Cf4 S3 X Cf4 S3
(Kl (JMOLE-K) (JMOLE-K) (JMOLE-K) CJMOLE-K) (JMOLE-K) CJMOLE-KI
0300 012363 197721 164293 0350 010046 198066 194823 0400 008543 1988(1 221262 016650 231794 175895 0450 007456 200199 244745 013616 216682 202286 0500 006625 201422 265893 011739 209547 224585 022010 284688 182210
0550 005964 2()2486 285136 010385 207183 244405 017706 241038 207168 0600 005423 203453 302792 009340 206270 262377 015343 221874 226966 0650 004973 21)4394 319111 008499 205979 278867 013675 215281 244396 0700 004589 205386 334292 007803 206054 294129 012391 212093 260209 0750 004258 206601 348500 007214 206428 308354 011354 2100432 274773
0800 003968 208229 361883 006707 207156 321697 010490 20middot9682 288323 0S50 003710 210496 374572 006263 208357 334289 009753 209631 301028 0900 003477 213783 386691 005868 middot210216 346247 009111 210241 313024 0950 003261 218696 398373 005512 213016 357683 008544 211636 324424 1000 003058 225569 409762 005184 217007 368707 008032 213912 335333
1100 002670 248215 432273 004583 230394 389969 007127 222135 356068 1200 002275 292769 455737 004014 255243 411031 006314 237633 376018 1300 001839 370332 482695 003432 299765 433198 005531 265004 396073 1400 001329 483665 518038 002796 384167 458542 004725 313845 417432 1500 000707 1466084 577753 002064 573025 491242 003846 405955 442029
Page 137 GPO 840middot 501
Table of Contents (continued)
Page
Figure 15 The Ratio of Mixer Temperature to Inlet Temperature 2
for Zero Power Input and the Ratio OT as a Function 3 m
of He Concentration in the Circulated Gas 53 3 4
Figure 16 Enthalpy Inversion Curves for He - He Solutions 55
Figure 17 Concentration Profiles for Constant ~ bullbullbull 57 3 4
Figure 18 The Specific Heat of He at Constant ~4 as a Function
of Temperature for Various Mixer Temperatures 58
Figure 19 The Vapor Pressure ot the Liquid in the Still as a
Function of Still Temperature for Various Mixer
Temperatures- bullbullbullbullbullbullbullbullbullbull 59
Figure 20 The Heat of Vaporization and the Vapor Compositlon
(Neglecting Film Flow) for the Liquid in the Still bull bull 60
Figure 2la The Fraction of the Mixer Filled with Dilute Solution as
a Function of Mixer Temperature for the Case
v IV = O 5 bull bull 62 s mc
Figure 21 b The Fraction of the Mixer Filled with Dilute Solution
as a Function of Mixer Temperature for the Case
V IV = 1 bullbullbullbullbullbullbullbullbullbullbullbull 63 s mc
Figure 2lc The Fraction of the Mixer Filled wlth Dilute Solution
as a Function of Mixer Temperature for the Case
V IV = 2 bull 64 s mc
Figure 22a Comparison of Theory and Experiment for the Transient
Behavlor of the Single-Cycle Dilution Refrigerator bullbull 68 3
Figure 22b The Fractional Amount of Pure He Remaining in the
Mixer as a Function of Mixer Temperature 70
Figure 23 A Plot of the Term -(0 01T)(dS3dX)T and the Heat 3
Absorption Rate for the He Extraction Refrigerator 72
v
bull bull bull
Table 1
Table 2
Table 3
Table 4
Table 5
Table 6
Table 7
Table 8
Table 9
Table 10
Table II
Table 12
Table 13
Table 14
Table 15
Table of Contents (continued)
Page
List of Tables 3
Some Temperature Independent Propertles of He 4
in Super fluid He bull bull bull bull bull bull bull bull bull bull bull bull bull bull 9
The Phase Separation Temperature or Solubility 3 4
Curve for Dilute Solutions of He - He bullbullbull 0 bull bull bull 19
Some Physical Constants and Basic Properties of 3 4
Pure He and He Used in this Work bullbullbullbullbullbullbullbullbullbull 84 3
Thermodynamic Properties 01 Pure Liquid He
Below 10 5degK 85 4
Thermodynamic Properties of Pure Liquid He
Below I 5degK bull bull bull 86
The Solubility Curve for Concentrated Solutions of 3 4
He - He 0 bull 0 0 bull bull bull bull bull bull bull 0 bull bull bull 88
The Entropy of He3
in He4
and Its Rate of Change with
Respect to Concentration at Constant Temperature bull bull 90 3
The Chemical Potential of He middot43
in He When the He
Behaves as an Ideal Fermi Dirac Gasmiddot 97 3 4
The Enthalpy of He in He bull bull 101 3 4
The Osmotic Pressure of He in He and the expression
-[ 1l (X T)-1l O(T=O)] bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 1054 4
3 4The Specific Heat of the Total He - He Solution 112
3 4The Entropy of the Total He - He Solution bull bull bull bull lIb
3 The Enthalpy and Excess Enthalpy of the Total He shy
4 He Solutlon 120
3 4The Vapor Pressure of He - He Solutions bull 127 334
The He Concentration in the Vapor Above He - He
Solutions 0 bull bull bull bull bull bull bull 0 bull 0 0 bull bull bull 0 bull bull bull bull 131
vi
Table ot Contents (continued)
Table 16 3
The Enthalpy and Entropy 01 He Along the Solubility
Page
Curve and the Heat Abs orption Rate of the Dilution
Refrigerator 135
Table 17 3
The He Concentration Specific Heat and Entropy at
Constant 11 4
136
vii
ABSTRACT
3 4The thermodynamic properties of liquid He - He solutions beshy
tween 0 and L 5degK are calculated by using the weakly interacting Fermishy3
Dirac gas model for He in He4 Certain experimental data below about
O 4 0 K are used to evaluate s orne of the parameter s in the model The 3 4
properties of both He in He and the total solution are calculated for 3
concentrations of He up to 30 percent All experimental data agree
very well with the calculated results although little data exist below
04degK The calculated properties are used to analyze the behavior of 3 4
the He - He dilution refrigerator in both the continuous and singleshy
cycle processes The maximum heat absorption below about 004degK is 3
found to be 82 T2 joules per mole of He circulated The effect of an 4
imperfect heat exchanger and He circulation on the refrigeration
capacity is discussed An analysis of two new types of single-cycle
processes is also given
Key Words Cryogenics dilution refrigerator enthalpy entropy
Fermi-Dirac gas helium-3 helium-4 liquid mixtures
osmotic pressure quantum fluid specific heat thermoshy
dynamic properties
viii
THERMODYNAMIC PROPERTIES OF HE3 - HE4 SOLUTIONS WITH APPLICATIONS TO THE HE3- HE4
DILUTION REFRIGERATOR
Ray Radebaugh
1 bull Introduction
Early in 1966 Hall et al [1] and Neganovet al [2] independently
succeeded in achieving continuous refrigeration below O 1 0 K using a 3 4
He - He dilution refrigerator Such a refrigerator was first proposed
by London Clarke and Mendoza [ 3] Previously such temperatures
could be reached only by adiabatic demagnetization of a paramagnetic
salt although the process is not a continuous one Since the dilution
refrigerator has certain advantages over adiabatic demagnetization
researchers are rapidly turning their attention to this new technique
Several new dilution refrigerators have been built since early 1966 with
many others in the construction or planning stage Improvements are
constantly being made to these refrigerators and as a result the lowest
temperatures reached with them have steadily been reduced Vilches
and Wheatley have just recently reached O 012 OK in continuous operation
[4] and O 0045degK in transient operation [5] It should be possible to
reach even lower temperatures with this technique but further design reshy3
finements are hampered by a lack of data on the properties of the He shy4
He solutions used in the refrigerator
The purpose of this paper is to present a complete and consistent 3 4
set of data for the thermodynamic properties of liquid He - He solutions
for the temperature range 0 - 1 5 degK Such information is needed to
analyze the performance of dilution refrigerators and to help optimize
their design These data of course are also necessary to predict the 3 4
behavior of any other process which involves He - He solutions at these
temperatures Nothing will be said of the transport properties of the
solutions which are also urgently needed for the optimum design of
dilution refrigerator s
Most of the properties to be discussed in this paper have been
measured experimentally but unfortunately very few of the measureshy
ments have been done below O 5degK An excellent list of the experimenshy
tally determined properties has already been given [ 6] To this list
should be added the recent specific heat measurements of Edwards et al
[7] down to about O 1 oK and of Anderson et al [8] down to about O 004degK
The solubility curve has now been measured extensively down to about
O 02degK [9] The specific heat measurements however are not extensive
enough to permit a deduction of various thermodynamic properties as
functions of temperature and concentration down to OOK without recourse
to some theoretical model In this paper it will be shown that the thermoshy
dynamic properties of a weakly interacting Fermi-Dirac gas are in very 3 4
good agreement with all existing experimental data on He - He solutions
for temperatures below 1 50 K provided that values of certain parameters
of the model are determined from experiments Application of these
thermodynamic properties will then be made to describe the behavior of 3 4
He - He dilution refrigerators The Fermi-Dirac gas model has been
applied previously [ 4 5 10] to the analysis of the dilution refrigerator but
not to the extent of this paper In addition the previous analyses did not 3
take into account interactions between the He atoms in solutionwhich is
important for many of the properties
2 Selection of a Theoretical Model
3 4Experiments have shown that He is not miscible in He for all
3 4concentrations and temperatures The phase diagram of He - He
2
solutions shown in figure 1 indicates that for teITlperatures less than
about O 86 OK certain interITlediate concentrations are not perITlitted 3
Instead the solution separates into a concentrated He phase floating on 3
top of the heavier dilute solution At OaK it is possible to dissolve He
in He 4
up to a concentration of (64 plusmn O 1) percent [ 9] Thus at very low
teITlperatures the only concern is with dilute solutions and essentially 3
pure He Only dilute solutions will be considered here since a satisshy
factory theoretical ITlode1 has not been found for concentrated solutions
i e for concentrations greater than about 20 to 30 percent The propshy3
erties of pure He can of course be deduced directly froITl experiITlenta1
results SOITle of which extend down to the ITlillidegree region
Landau and POITleranchuk[14] were the first to propose a theoreti shy3 4
cal ITlode1 for the behavior of dilute He - He solutions According to
this theory the excitation spectruITl of the liquid is ITlodified by the addition
of noninteracting FerITli quasipartic1es equal in nUITlber to the nUITlber of 3
He atOITls The analysis was liITlited however to the nondegenerate
(high teITlperature) range where the quasipartic1es can be treated as an 3
ideal gas and thus would contribute an aITlount 32 R per ITlo1e of He
to the specific heat of the solution For teITlperatures sOITlewhat less 4
than 1 0 K the specific heat of He becoITles extreITle1y sITlall so the specifshy3
ic heat for T lt 1 deg K is due solely to the He contribution For teITlperashy
tures of about O 5degK and for concentrations less than 15 percent the
prediction of a 32 R contribution to the specific heat has been borne out
by ITleasureITlents of Edwards et al [7] Results of de Bruyn Ouboter
et al [11] above 04degK however appear to be in good agreeITlent only 3 4
in the liITlit of zero concentration This ideal gas ITlodel of He - He
solutions has been used in the past to analyze the behavior of the dilution
refriger ator [ 1 2 6 15]
3
15
~middot10
o
Ishy
~
05 o
A
Lin
e
o -
de B
ruyn
Ou
bo
ter
et
01
(J
-E
dw
ard
s e
t 01
amp
-B
rew
er
an
d K
eys
ton
PH
AS
E
SE
PA
RA
TIO
N
RE
GIO
N
04
06
08
10
02
x
3 4
Fig
ure
1
P
hase
Dia
gra
m o
f H
eH
e S
olu
tio
ns
T
he d
ata
po
ints
are
fro
m s
ev
era
l au
tho
rs
l 71
1
l2J
an
d t
he d
eta
iled
beh
av
ior
at
the in
ters
ecti
on
of
the
A a
nd
ph
ase
sep
ara
tio
n
lin
es
is f
rom
th
e w
ork
of
Gra
f et
al
L
13
]
For temperatures approaching OOK the 32 R term must disappear
according to the third law of therrrlodynamics Measurements l 7 8] show
that the specific heat begins to drop at about O 2 to O 5degK (depending on
concentration) and becomes proportional to T for much lower temperatures
Since the dilution refrigerator usually operates below 01 degK the ideal
gas model can not be relied upon to give a satisfactory explanation of the
behavior of a dilution refrigerator
Edwards et al [7] showed that their specific heat data were fit 3
very well at all temperatures by treating the He as a Fermi-Dirac gas 3
with an effective mass m~~ of 2 5 times the mass of a He atom
Anderson et aL [8] also found that the same model would fit their data
within experimental error but with the values 2 38 and 246 for mm3
in 1 32 percent and 5 02 percent solutions respectively The data of
Anderson et al extended well into the degenerate region of the Fermishy
Dirac gas where the specific heat is proportional to both mm and T3
Thus the Fermi-Dirac gas model shows excellent promise for predicting 3 3 4
the thermodynamic properties of He in liquid He - He solutions at all
temperatures
The variation of mm with concentration can be accounted for by3
3conSidering weak interactions between the He atoms Doing so however
does not change the specific heat from that of a noninteracting Fermishy
Dirac gas with the same mm [ 16] It will be shown that the behavior3
of the solubility curve also requires that interactions be introduced 3 4
Thus in this note the thermodynamic properties of He - He solutions
are derived from the weakly interacting Fermi-Dirac gas model
3 Computational Methods
3 43 1 Properties of He in Liquid He
The behavior of the interparticle interaction and its effects must
be evaluated before calculations of thermodynamic properties can be
5
made Bardeen Baym and Pines [17] (BBP) assumed the interaction 3
between two He atoms separated by a distance r is spin velocity and
concentration independent and weak Their interaction is written in
terms of the Fourier transform V(k) by
J V(r ) = V (i~) e i kmiddot r dk (1)
3(21T)
where k is the wave vector For an isotropic systemV(k) = V(k) The
effective mass m~ is then given as [ 17]
m = 1 +1 F S = 1 _ N(O) J2kf V(k) k (1 _ L) dk (2) m 2 23 1 2k 0 2 k o
f f
where m is the value of m at zero concentration o
2 2 (3)N(O) = m k 21T tlf
is the density of energy states at the Fermi surface for one spin orientashy
tion and k is the magnitude of the Fermi wave vector The dependencef
of k on concentration is shown by the relationf
2 2k = (31T n3)13 = (31T NAv)13 (4)f
3where n3 is the number density of He atoms in solution NA is
Avogadros number and v is the volume of solution containing one mole 3
of He The expression
233 v=V X=2758X+760+165X cm moleHe (5)
m
3where V is the molar volume of the solution and X is the He concenshy
m
tration will be used throughout these calculations Equation (5) agrees
6
with experimental data [ 9 18] to within O 3 percent for concentrations
less than X = O 3 and all temperatures less than 1 5degK The value 3 4
27 58 cm mole is the molar volume of pure He between 0 and 1 5degK
To calculate m from (2) knowledge of V(k) is necessary The
simple two-parameter form used by BBP to fit spin-diffusion results
[8] is given by
V(k) = V cos (13k) (6)o
o 2 -38 3with 13 = 316 A and V0 = -00754 m s n = -1 303 x 10 ergs cm
4 44
where m 4 is the mass of the He atom s is the velocity of first sound in 4 4
He at T = 0 and n 4 is the number density of pure He at T O Ebner
[19] recently extended these calculations for V (k) to higher concentrations
and used the form
(7)
where V is the same as that used by BBP and the other parameters are o
C = 40752 C = 00564 (8 ) 2 3
The form of V(k) given in (6) is limited to concentrations less than 5 pershy
cent whereas the form in (7) is valid for concentrations even higher than
30 percent Ebner states however that V(k) in (7) may contain some
10 --15 percent error Both forms for V(k) were used in (2) to solve for
mm assuming mom3 = 234 as suggested by BBP Figure 2 shows3
the calculated concentration dependence of mm compared with four3
experimental points from specific heat data Both curves give good agreeshy
ment with experiment but since Ebners form of V(k) is valid for higher
concentrations mm obtained by using his form of V(k) will be adopted3
here These values of mm are also listed in Table 1 along with k3 f
and the Fermi temperature T f given by
7
23~--_
____
____
____
_~__
____
____
____
__L
__
__
__
__
__
__
__
_~
__
__
__
__
__
__
__
__~
__
__
__
__
__
__
__~
o 0
05
010
0
15
02
0
025
x
3
4 3
Fig
ure
2
Eff
ecti
ve M
ass
Rati
o o
f H
e in
He
as
a F
un
cti
on
of
He
Co
ncen
trati
on
TABLE 1
SOME TEMPERATURE INDEPENDENT PROPERTIES OF HE3 IN SUPERFLUID HE4
X 10-7 kf
-1(em )
T f (OK)
11=
m 1m3
-(1l3 + L 3 deg)R
(OK)
00000 000000 0000000 234000 0258728 00001 040136 0005535 234046 0258841 0middot0002 050567 00087B4 234092 0258956 0middot0005 068628 0016171 234225 0259310 00010 086462 0025643 234442 0259920
00020 108926 0040627 234857 0261201 0middot0030 124677 0053137 235253 0262544 00040 137213 0064255 235633 0263940 0middot0050 147794 0074432 236000 0265382 00060 157041 0083910 236355 0266865
0U080 172814 0101322 237033 0269938 0middot0100 186124 0117214 237674 0273139 0middot0150 212961 0152510 239145 0281601 0middot0200 234287 0183572 240462 0290600 0middot0250 252263 0211771 241656 0300U32
00300 267947 0237848 242748 0309825 0middotU350 281946 0262265 243753 031 99 26 0middot0400 294645 0285332 244684 0330293 00450 306304 0307272 245550 0340892 00500 317109 0328251 246359 0351698
00550 327197 0348395 247117 0362685 0middot0600 336673 0367807 247830 0373837 0middot0640 343870 0382864 248371 0382864 0middot0650 345620 0386567 248502 0385135 0middot0700 354104 0404742 249138 0396565
00750 362178 0422388 249742 0408115 0U8 OO 369887 0439551 250315 041 9775 00900 384352 0472586 251381 0443382 01000 397732 0504107 252357 0467321 01100 410202 0534310 253255 0491539
0-1200 421894 0563353 254088 0515992 01300 432914 0591359 254864 0540643 01400 443344 0618430 255592 0565461 01500 453252 0644651 256278 0590420 01600 462694 0670092 256927 0615498
01800 480362 0718869 258133 066t934 02000 496644 0765151 259239 0716639 02250 515379 0819942 260512 0780246 02500 532610 0871743 261690 0843959 02750 548575 0920896 262796 0907654
03000 563456 0967674 263844 0971234 03500 590503 1054946 265810 1097725 04000 614589 1134915 267648 1222900 04500 636280 1208563 269392 1346348 05000 655978 1276633 271062 1467729
Page 9
2 2 23T h k 2 K m 54 890(v m~~m) oK
f f 3 (9)
where K is Boltzmann I s constant
Stoner [20] has evaluated the specific heat C of a Fermi-Dirac v
gas for all temperatures as a function of the ratio TITr Since he gives
only tabulated results for the intermediate temperature range a power
series expression was fit to his data to facilitate calculations of thermoshy
dynamic properties The details of this power series fit are given in 3 4
Appendix A The specific heat and entropy of dilute He - He solutions
can now be calculated as functions of temperature and concentration
However to proceed with calculations of enthalpy chemical
potential osmotic pressure and other related properties the deviation 3
of the chemical potential of He in solution from that of an ideal Fermishy
Dirac gas must be found There will be a considerable deviation because 3
of the presence of a binding energy and the interaction between He atoms 3
The chemical potential of He in solution can be written as
1 (X T) 1 (X T) + 1 1 (X T)3 f 3 (10)
where 1 is the chemical potential of the ideal Fermi-Dirac gas with effecshyf
tive mass m and is given by T
J H - TS 53 U - TS R T + 53 Jr C dTf f f f f f v
o
T - T J (CvT) dT (11 )
o
In this equation H Sf and U are the molar enthalpy entropy andf f
internal ener gy of the ideal Fermi-Dirac gas and R is the gas constant
Since C has been expressed as a power series in T the integrations v
can be easily carried out with the aid of a computer
10
3
The term 1 13 can be evaluated from the expe rimental data for the
dilute solubility curve and then compared with theoretical re sults for 1 1 bull
The experimental values of 13 are found by making use of the fact that 3
in a phase separated solution the chemical potential of He must be the
same in both the dilute and concentrated phases If at first it is conshy3
sidered that the concentrated phase is pure He then
(12 )
where Xt denotes the concentration of the dilute phase on the solubility
curve
rT T 1 deg = - L3 deg + J C deg dT - T J (C degIT) dT
3 3 3 o 0 (13 )
3is the chemical potential of pure He and L3 deg is the molar heat of vaporshy
lzahon 0 f He 3 OOKpure at T = bull The quantity 1 deg + L3 deg is calculated3
3using values for the properties of pure He given in Appendix B The
term 1X T) in (12) is evaluated using (11) at each data point [79]t
for the solubility curve By combining (12) and (13)values for 13 (X T)t
+ L3 deg can be determined The results of such calculations are shown in
figure 3 Also in figure 3 are shown curves for T f from (9) and a theoretshy
ical result for 113 + L3 deg which will be discussed shortly From (11) (12)
and (13) it is obvious that (-11 3 - L3 deg)R = T f for T = 0 0 K and the conshy3 4
centration at which this occurs is the limiting solubility of He in He at
T = OOK
The theoretical behavior of 1 using V(k) has been discussed by3
BBP and Ebner However bull their definition of 13 is slightly different than
that used here The difference is that they use the effective mass m inshyo
stead of m in evaluating I1 in (l0) The theoretical expression given byf
BBP for their 1-13 r at T = OOK is
11
08
1
06
o ~ 0
4
I-
N
02
o
TH
IS
WO
RK
0CD
l G
I
LO
o -P
3 -
3
R
0-
Ifff
e
f 01
EX
PE
RIM
EN
TA
L
a _
Ed
wa
rds
tit
01
I L
0-P
3-
3
R
005
0
10
015
0
20
0
25
x F
igu
re 3
T
he
Ferm
i T
em
pera
ture
an
d D
ev
iati
on
of
the C
hem
ical
Po
ten
tial
fro
m t
he I
deal
Ferm
i -D
irac V
alu
e
2 NA J2kf 2 k =Eo + (N Iv) V(O) - -2 k (1 - 2k ) V(k) dk (14)A 41T 0 f
where E is the binding energy and is independent of concentration The o
second and third terms on the right side of (14) are the Hartree and exshy
change corrections to ~3 To be consistent with the theory of BBP and
Ebner the ~31 defined by (10) and used here should contain an additional
term equal to the difference between ~f evaluated at mo and m However
when this additional term is neglected the theoretical ~31 from (14) fits
experimental data very well even for temperatures up to O 6degK as will be
shown very shortly Inclusion of the additional term requires ~3 to be
temperature dependent to give agreement with experimental values at
finite temperatures This temperature dependence has been worked out
by Ebner only for the high and low temperature limits Since the primary
purpose of this paper is to find a model which can be used to fit experishy
mental data over a wide range of temperature and concentration the
additional term in (14) required by rigorous theory will not be considered
in this paper Equation (14) was evaluated numerically using Ebners
form of V(k) The quantity Eo + L3 deg is found from a best fit of the
theoretical ~3 + L3 deg to the data points in figure 3 Only the data for
X lt O 075 were considered for the fit since it will be shown that the data
at higher concentrations and temperatures require some correction
From this fit it is found that
(15)
and that
X t (T = O) = O 0640 (16)
13
J
is the limiting solubility of He3
in He4
at T = 0deg K fft et al t 9] report
a slightly different value of O 0637 for X t (T = O) from a T2 extrapolation
of their data The theoretical result for J t is given in Table 1 in addition3
to being shown in figure 3 Including the additional term in (14) would
yield the result O 282 degK for (1S) which agrees with the value given by
fft et al l 9] The uncertainty in V(k) however is such that the difshy
ference in the two results for (-Eo - L3 deg )R is inconsequential [19 21]
The discrepancy between experimental and theoretical values for
1 r at higher concentrations can be completely explained by correcting 1 03 3
4used in (12) to account for the presence of a small amount of He in the
concentrated phase This correction then changes the experimental values
tor J The term 1c which must be added to tl3 deg to give the chemical poshy3
tential of the concentrated phase was actually found by forcing the experishy
mental data for tl3 + L3 deg in figure 3 to agree with the theoretical result
shown in the same figure This correction term J is shown in figure 4 as c
a function of temperature For temperatures above O 4deg K this curve was
deduced from a smoothly drawn phase separation line bridging the gap beshy
tween the low and high temperature data shown in figure 1 Figure 4 comshy
pares this calculated behavior of 1 with two other results for J One of c c
these other results is based on the experimental work of de Bruyn Ouboter
et al lll] for the thermodynamic properties of concentrated solutions
down to about 04deg K The term 1 is calculated from their data by the c
relation IOGt)
- G t + (1 - X ) oX (17)1c - u X=X
u
where X is the concentration of the concentrated phase and G t is taken u
to be
G t = G -l X 1 deg + (1 - X) 1 0]3 4
= X (13 - 1 deg) + (1 - X) (14 - J deg) (18)3 4
14
I I
I I
I
08~------~------~------~-------r------~------~~~
CD-0 E
rn CD
1 0
-gt
0 =l I
--8-- de Bruyn Ouboter et 01
---0-- This Work
--- Regulor Solution Theory
06 I I
I I
I I
I
I fI
I I04
I I
I
I I
02
o 02 04 06
Figure 4 The Difference in Chemical 130tential Between the Conshycentrated Phase and Pure He bull
15
with G as the Gibbs free energy and -1 - -1 0 the difference in chemical4 4
potential between He4
in solution and pure He 4 The term (oGt joX)X=X u
is very difficult to evaluate from the experimental data but appears to
be fairly small For a first approximation that term is chosen to be zero
which then leaves -1 = G i A better approximation can be made Since c
the terms 1J and J must be the same in both the dilute and concentrated 3 4
phases the term oGtjoX must also be the same in both phases The
theoretical behavior of -1 - -1 0 and -1 - -1 (to be calculated later) in3 3 4 4
0
the dilute phase can be used to find oGtjoX This then results in a
negative value for oGi oX and makes -1 less than Gt The difference c
though is only significant above about O4degK but is still less than the
experimental uncertainty and so it is not shown in figure 4 The other
curve shown for comparison in this figure results from assuming that
the solutions behave as a regular solution This assumption should give
reasonable results in the concentrated phase at least for the higher temshy
peratures The details of the calculation for -1 from the regular solution c
theory are given in Appendix C where the concentration X as a function of u
temperature is listed in Table 6 It is evident from the curve shown in
figure 4 that the behavior of -1 which results in an exact agreement of c
experimental and theoretical -1 + L3 0 can be considered to be consistent3
with all other estimates of its behavior although possibly too high around
O 2 OK In other words the theoretical -1 I agrees with experimental data3
along the solubility curve within experimental error and no temperature
dependence of -1 f is necessary to give this agreement even for temperashy3
tures as high as O6degK Of course a small temperature dependence is
still possible in view of the fairly large uncertainty in -1c but -1 I is3
assumed to be independent of T in all of the present calculations In any
case a small temperature-dependent term would have very little effect on
most of the thermodynamic properties at all but the lowest temperatures
since -1 I contributes significantly to these properties only at low temperashy3
tures
16
By using the theoretical behavior of JI t and ~c (11) and (12) can3
be used to derive the theoretical phase separation teInperature as a
function of concentration This calculation is just the reverse of the
case where the experiInental 1-13 I was deduced froIn the experiInental
phase separation teInperature The results for the theoretical phase
separation teInperature are shown in figure 5 along with experiInental
values l 7 9] and are listed in Table 2 To sUInInarize the behavior of
the weakly interacting FerIni-Dirac gas Inodel using Ebners expression
for V(k) which was deduced froIn spin diffusion predicts an In(X)In3
in agreeInent with experiInent These values of In(X)In are used in3
the specific heat of a FerIni-Dirac gas which then correctly predicts 3 4
specific heat of He in He at all teInperatures In addition this Inodel
gives the correct concentration dependence of the phase separation
teInperature
The present definitions (10) and (13) for 1-13 and 1-13 deg result in large
negative values for these terInS at T = OOK due to the quantity L3 o In
addition any uncertainty associated with L3 deg appears in 1-13 and 1-1 0 The3
bull
absolute value of cheInical potential in any systeIn is arbitrary and it
Inakes nUInerical cOInputations siInpler if JI and JI are changed by a3 3
0
constant valu~ The terIns JI3
and JI deg are now redefined by adding L3 deg 3
to the right sides of (10) and (13) The new definitions then becoIne
JI3 (X T) =JI (X T) + JI3
I (X) + L3 deg (10)f
and
T
1-13 deg (T) = JT
C3deg dT - T J (C degT) dT3 o o
(13 )
17
04 bull
03
f- t shy
02
01
c
o 1fft et 01
EXPERIMENTAL C pounddttords et 01
O~~---L----~----~----~----~----~----~----~----~ O~ 008 010 012 014
X 3
Figure 5 The Phase Separation Temperature as a Function of He Concentration
18
Table 2
The Phase Separation Temperature or Solubility Curve for Dilute Solutions of He3 - He 4
X T X T (OK) (OK)
006400 00 0090 o 1946
006404 000946 0095 02129
00641 001486 010 O 2301
00642 00208 O 11 02616
00643 O 0253 O 12 02902
00645 00323 013 03166
00647 00377 014 03412
0065 00445 015 03644
0066 00606 016 03863
0067 00721 017 04072
0068 00817 018 04272
0070 00970 020 04647
0072 01102 0225 O 5075
0074 01223 025 05460
0078 O 1436 0275 O 5809
0082 01618 030 06097
0086 01789
19
where 1-1 t 3 is now shown as a function of X only The term 1-13 0 now beshy3
comes zero at T = 0 oK The entropy and enthalpy of He in He40 are
taken as
T [ _ S3(X T) = Sf (X T) = J C (X T)TJ dT (19)v
o
H (X T) =1-13 (X T) + TS (X T) = 1-13 (X) + L3deg + H (X T)3 3 f
T
= 1-113 (X) + L 3 0 +RTf + (53) J C v (X T) d T (20) o
3 4The osmotic pressure n of He in liquid He can be determined
from the relation
n V = - (1-1 - 1-1 0 ) (21)4 4 4
which follows from altering an equation given by London et al [3] In
(21) the term V =V -X oV lox = 27 58 - 3 30 X3 cm3mole is the4 m m
4partial molar volume of He in solution and is only slightly different than
4V 4 0 The right side of (21) is the difference in the He chemical potentialbull
4 4between He in solution and pure He and is easily evaluated from the
Gibbs-Duhem equation for constant temperature and pressure
dl-13 dl-14 (22)X - + (1 - X) - =0
dX dX
In integral form (22) becomes
XJ X (23)1-14 - 1-14 o -- - 1 _ X dl-13 o
20
which upon substitution into (20) yields
(24)
The integral is easily evaluated numerically since J is known as a3
function of X from (lot)
3 4 32 Properties of the Total He - He Solution
Up to now consideration has been given only to the thermodynamic 3 4properties of He in liquid He and not those of the total solution Howshy
3 ever in the case of the He - He
4 dilu~ion refrigerator operating in a 3
steady state the He contribution is all that is needed Ideally in this 3 4
refrigerator He diffuses through a stationary column of He so that the 4
He contribution is not needed for thermodynamic calculations For the
transient behavior of the dilution refrigerator or any other process where
the bulk liquid is involvedthe thermodynamic properties of the total
solution are needed The total specific heat and entropy are taken as [ 14]
(25)
(26)
where C 4 0 and S 4 0 are the specific heat and entropy of pure He4 Equashy
tions (25) and (26) are good approximations only for temperatures not too
close to the A point since the A point changes with concentration (see
fig 1) Below 1 0 K however C deg is very much smaller than C so the4 v
approximation is certainly good up to X = 03 for these temperatures At
1 5 D K the results for C from (25) begin to deviate considerably from
experiment [11] for X much above O 1
21
The enthalpy H (same as the internal energy U for the low temshy
peratures and pressures of interest here) can be calculated in three
different ways Unfortunately the results are not exactly the same in
each case The first method makes use of the relation
H = G + TS = X ~3 + (1 - X) ~4 + TS
= X H + (1 - X) (~ - ~ 0) + (1 - X) H 0 bull (27)3 4 4 4
To be consistent with (lOt) and (13 1)
rT H a = leo dT
3 J 3 (28) o
T H 0 = - L + L 0 +J C 0 dT (29 )
4 4 0
3 4 o
4where L 4 a is the heat of vaporization of pure He at 0 0 K The second
method uses
T H = Ho +J C dT (30)
o
0 0where H is the value of (27) at T = K The third method which is o
somewhat of a combination of the first two replaces H in (30) for o
X gt O 064 with the value of (27) on the phase separation curve instead of
at oaK The lower limit of the integral is also replaced by the phase
separation temperature The results obtained by this third method should
be a good compromise except for the fact that curves of H versus X for
constant T will have an abrupt change in slope at X = O 064 which would
be unrealistic The second method was chosen for these calculations
and will give the same results as the third method for X S 0064 Since
the theoretical behavior of C agrees so well with experimentthe resulting
22
values of H should be quite accurate at least for X s O 064 The second
method eliminates the abrupt change in slope at X = O 064but the result
for H above this concentration may not be quite so accurate The first
method suffers from the disadvantage that it relies entirely on the theoshy
retical behavior of ~3 and ~4 both of which are more uncertain than the
calculated C The difference in H caused by using the various methods
is only a few parts per thousand This difference is greatly magnified
however when the excess enthalpy
(31 )
is considered The first method can give values for HE which are 15 to
20 percent higher than the second method for large values of X This
difference is due mainly to a temperature dependence of -1 that is not 4
quite consistent with properties such as specific heat Possibly a small
temperature dependent term in ~3 I might correct this inconsistency
From (31) and (27) it is easy to see that at T = OOK HE is just (1 - X)
3 4The vapor pres sure of He - He solutions is found from a trial
and error solution of the equation
J
(32)
3where X is the He molar concentration in the vapor P3 deg is the vapor
3 pressur of pure He and the Bs are the second virial coefficients for
3 4 He and He from the work of Kilpatrick et al [22] Equation (32)
follows from a combination of expressions given by de Bruyn Ouboter
et al [23] A very good approximation for X at least for temperaturesv
23
above about O 5degK can be found from the theory of regular solutions In
this case [ 23]
X (1 - X) p 0 v
p 3 0 exp [ (W RT)(l- 2X)] (33 )
X (1 - X ) shyv 4
where p 0 = p deg exp (B p degRT) is the fugacity of the component i and W 1 1 11 1
is a constant taken to be WR = 1 37degK [24] The results of (33) for X v
are substituted into (32) to find p
The heat of vaporization of a binary solution can be treated as
either integral or differential depending on the conditions of vaporization
[ 25] When a quantity of liquid solution is completely vaporized so the
initial liquid concentration and final gas concentration are equal the
integral heat of vaporization is absorbed in the process This integral
heat of vaporization is ApX if the process is done at constant pressureand
A if done at constant temperature For the low pressures dealt withTX
here the gas phase can be treated as ideal and thus the enthalpy in both
the liquid and gas phase are independent of pressure The integral heats
of vaporization can then be written as
ApX + R(T - TI) = A =XL deg(T) + (I-X) L deg(T) - ~(X T)TX 3 4 (34)
where T is the final temperature in the constant pressure process and 3 4
L3 deg (T) and L deg(T) are the heats of vaporization of pure He and He at4
the temperature T The term -~ gives the deviation from the ideal
heat of vaporization and is just the negative of the excess enthalpy
If a mole of gas is formed from an infinite reservoir of liquidthe
heat absorbed is Avt the differential heat of vaporization In this proshy
cess the gas and liquid phase concentrations are different From the
work of Ruhemann [25]
24
E r E ( ) (X _ X) 0 H (X T) (35)+L-H X T - v oX J
The term in brackets gives the deviation from the ideal differential heat
of vaporization and will be denoted as AE vt
3 43 3 Applications to the He - He Dilution Refrigerator
A schematic diagram of the He3
- He4
dilution refrig~rator is 3
shown in figure 6 Nearly pure He gas leaves the vacuum pump at a 4
pressure of about 30 torr and passes through a pumped He bath which 3
condenses the He bull After passing through a flow limiting capillary the 3
liquid He is cooled by passing through the still and the heat exchanger 3
The pure He liquid enters the mixing chamber or mixer where it 3 4
floats on top of and is in equilibrium with a dilute solution of He in He bull 3
For very low temperatures the dilute solution contains 64 percent He bull
This 64 percent solution communicates with the solution in the still via
the return line in the heat exchanger For the solution in this return line to
be in mechanical equilibrium the chemical potential jJ4 must be the same
throughout the tube Since the te~perature of the still is higher than the
mixing chamber the concentration of the solution decreases as it apshy
proaches the still From results to be given later the concentration in
the still is about I percent for T 5 = o 6 0 K where T 5 is the still tempershy3
ature As this liquid vaporizes in the still nearly pure He is removed
from the solution provided of course superfluid film flow is greatly 3
restricted To complete the cycle the He gas is compressed to about
30 torr at room temperature and returned to the condenser As the conshy3
centration in the still is lowered He will diffuse from the 6 4 percent
solution in the mixing chamber through the heat exchanger to the still
25
He4
~J--~~
He4 -I He3
He3 VACUUM PUMP - 300 OK
CONDENSER 08 -12 OK
CAPILLARY
STILL 06-07 oK
HEAT EXCHANGER
MIXING CHAMBER
He4 shy QOI-QsoK 64 He3
He3
3 4Figure 6 SChematic Diagram of the He - He Dilution Refrigerator
26
3To preserve equilibrium in the mixing chamber He must pass from the
upper rich phase to the lower dilute phase to maintain a 64 percent conshy3
centration in the latter In so doing the He absorbs heat if the temperashy3
ture is kept constant As the He dIffuses through the nearly stationary 4 3
column of He in the heat exchanger it cools the incoming pure He
stream in the heat exchanger A thermodynamic analysis of the dilution 3 4
refrigerator in a steady state uses only the properties of the He in He 4
since the He is stationary in the ideal case
The heat absorption rate of the dilution refrigerator is of fundashy
mental importance to those interested in the capabilities First consider 3
the case where only pure He is circulated by the pump By treating the mixer as an open thermodynamic system this heat absorption rate Q in
the steady state at a temperature T can immediately be written as an
enthalpy difference
(36)
3where n 3 is the molar circulation rate of He the first term on the right
3 4is the enthalpy of He in He along the lower or dilute solubility curve
3and H3cT ) is the enthalpy of He in the incoming concentrated stream
i at temperature T When the mixer temperature is below about O 2 0 K
1 3
the concentrated phase is nearly pure He and so the incoming stream 3 c
must also be nearly pure He bull Thus H3 becomes equal to H deg Howshy3
ever at higher temperatures the concentrated phase in the mixer will 4 4
contain a certain amount of He It is possible for this He to diffuse up 3
the incoming He stream to cause some dilution above the mixer To
calculate the heat absorption in the mixer the concentration of the stream
just as it leaves the last heat exchanger must be known If the velocity of 3 4
the incoming He stream is high enough He will be prevented from
27
diffusing up as high as the heat exchanger E~pressed analytically the 3 bull
stream leaving the heat exchanger will be pure He for n3 LVmDA raquo 1
whereas for ~ 3 LVmDA laquo 1 the stream will have the same composition
as the concentrated phase in the mixer In this expression L is the
length of tubing from the last heat exchanger to the mixer V is the m
molar volume of the incoming stream D is the diffusion coefficient of 4 3
He in He and A is the cross-sectional area of the tube In practice
something between the two extremes most likely will occur The enthalpy
3 l H 4 h d I 1o f He 1n a so utlon conta 1n1ng some e 1S rat er uncerta1n an so 1tt e 4
can be said about the heat absorption in the extreme where the He easily
diffuses up to the heat exchanger However from the work of de Bruyn 3
Ouboter et ale [11] it looks as though the enthalpy of He in the incoming
stream at about O 6degK will be on the order of 10 percent higher than H3 o
The difference between H3 c and H3 deg decreases to zero at about O 2 deg K
Equation (36) should be very accurate when H3c can be taken as
H3 deg since H3 is known very well along the solubility curve Though in
principle H3 (X T) can be found from (20)an alternative method fort
temperatures of O 1 deg K and below has been chosen If the incoming pure 3
He stream is at the same temperature as the dilute solution then the
process is reversible The heat absorption is then given as
Qr(T)~3 == T[8 (X T) -8 deg(T)] (37)3 t 3
from which it follows that
H 3 (Xt T) == Qr(T)n 3 + H3deg(T) == T[ 8 (X T) -8 deg(T)] + H deg(T)
3 t 3 3
(38)
Values of H3 and 8 along the solubility curve are obtained by second3
order interpolation in tables of H3 and 8 as functions of X and T Howshy3
ever interpolation in the 8 table is much more precise than that of the3
28
H 3 table for temperature of O 1 oK and below This is because J r + L3 deg 3
and RTf in H3 are very large numbers which cancel each other exactly
at OOK on the solubility curve Their resulting contribution to H3 slightly
above OOK on the solubility curve is subject to considerable error unless
both terms are evaluated to a great number of places Thus H3 (X-t T)
is evaluated from (38) for temperatures of O 1 OK and below Above T
O lOK (53)I C dT is the dominating term in H3 and so H3 (Xf T) is V
oaccurately obtained by interpolation in the H3 table Values for H3 deg (T )
iare taken from Appendix B
4In the case where the gas circulated contains some He the calshy
culation of heat absorption can become very complex especially at temshy
peratures above about O 2 OK Since operation of the refrigerator above
this temperature is of limited interest analysis of the heat absorption at
these temperatures will not be made Below about 02 OK the amount of 3
pure He available for refrigeration is reduced to
(39)
where X t is the concentration of the dilute phase at the temperature T i 3
n is the number of moles of gas mixture circulated and X is the He conshy
centration in the circulated gas The dilute solution already separated
out at T will contain 1
( 1 - X)n 3t =nXt 1 - X (40)t
3 4moles of He bull Neglecting the very small He contribution the heat absorpshy
tion rate in the mixer per mole of gas m~ circulated can be written as
29
middot Q(TT) 1 r X - X t ) 1 - X J
o = X H3 (XtT) -L(l _ X H3deg (Ti)+X 1 _ X )H3 (X Ti )n t tA A
(41 )
where all the X t inside the brackets must be evaluated at T i
For low flow impedences in the dilute stream between the mixer
and stillthe solution will be in mechanical equilibrium throughout its length
This equilibrium condition is expressed by ~4 = constant and from (21 )this
implies that the osmotic pressure must be constant at least for low
temperatures where d~4 deg dT is extremely small and for low concentrashygt
tions where V 4 is nearly constant At higher temperatures (T O 5degK)rJ
the change of ~ 4 deg with temperature must be taken into account When
this is done the condition ~4 = constant then is equivalent to IT + p f =
constant for small X where IT is the osmotic pressure and P is thef
4fountain pressure of pure He defined and calculated from (80) in Appenshy
dix B For high concentrations the condition IT + p f = constant does not
hold exactly since V 4 in (21) changes slightly with concentration However
the difference in V 4 between X = 0 and X = O 3 is only O 3 percent Given
a temperature and concentration in the mixer the concentration anywhere
in the heat exchanger or still may be found from curves of the osmotic plus
fountain pressure or to be exact curves of ~4 In practice a small 3
gradient in the osmotic pres sure must exist to drive the He through the
heat exchanger and may not always be negligible The calculated conshy
centration in the still then represents an upper limit and the deviation
from this value can be found if the flow impedance of the heat exchanger
is knowno Fourth order interpolations can be carried out in a table of
~4 to find the concentration as a function of temperature Once the conshy3
centration in the heat exchanger is known the entropy of He anywhere
along it is easily found from fourth order interpolation in the S 3 table 3
The specific heat of the He at constant ~ designated as C is then 4 ~4
30
given as 08
1 3 ) (42)CjJ = T ~ aT
4 1-L4= const
The differentiation of S 3 is carried out after fitting the data for S 3 at
constant 114 with a third order polynominal in T It should be obvious
that C will be a function of the mixer temperature as well as the local ~4
temperature since the former determines the osmotic pres sure in the
system
The vapor pres sure and vapor concentration in the still as a
function of both still and mixer temperature can be easily found from
interpolation in the p and X tables using values of X in the still as detershyv
mined from the condition 114 = constant in the dilute stream The heat QS
required to vaporize a mole of liquid in the still has contributions from 3 4
both the He and the He vaporized Because of the large heat of vaporishy
zation of He4 this contribution which is given by (1 - Xv) L deg(T) can4
3 not be neglected The He contribution is Xv L (T) where L (T) is just
3 33
the difference between the enthalpy of He in the saturated vapor and in 3
the dilute liquid The He vapor enthalpy can be written as H3 deg (T)
+ L deg(T) From this it immediately follows that3
(43)
where
(44)
is the deviation from the ideal heat of vaporization and n is the gas flow rate
The interface between the dilute and concentrated solutions must
remain in the mixing chamber if the refrigerator is to operate properly
Thus it is important to examine just where this interface will be for all
31
possible sets of conditions The assumption is made at this point that
the liquid volumes in the heat exchanger and condenser are negligible
compared with the volume of both the still and mixing chamber The
volume of the still containing liquid immediately after the initial filling
and before circulation begins is written as
v = r V (45)s mc
where V is the total volume of liquid in the mixing chamber If the mc
whole system is filled initially with n moles of solution at a concentration
of X then the initial volume of liquid is o
o n V = V + V = V (1 + r) (46)
m mc s mc
where V 0 is the molar volume V of the solution from (5) for a con-m m
centration of X During operation of the refrigerator phase separationo
occurs in the mixer and h is the fraction of mixer volume occupied bym
the dilute solution The total volume of solution during operation will be
different than the initial volume which then results in a change in liquid
level in the still Let the ratio of present to initial volume of liquid in
the still be h Both hand h are found from a solution of the simultashys m s
neous equations
(1 - h ) V X Iv u + h V X p Iv t + h r V X Iv s = nX m mc u m m mc V m s mc s m 0
(47)
(1 - h ) V Iv u + h V Iv t + h r V Iv s = n m mc m m mc m s mc m
(48)
where the subscripts and superscripts u t and s on X and V refer to m
the concentration and molar volume in the upper concentrated phase of
the mixer in the lower dilute phase of the mixer and in the still The
32
3first equation represents the total number of moles of He in the system
and the second gives the total moles of solution Substituting (46) into
these two equations yields
rX (1 + r) X XXt Xu s o u ( - --) h + h =----shy (49)
s s o uV t V u m V V V m m m m m
h = (1 + r) 1 (50)
s s o u V V
m m
after rearranging The values used for X are given in Appendix C u
Problems associated with the heat exchanger can be eliminated by
operating the refrigerator in a single -cycle process In this case the heat 3
exchanger is unnecessary since pure He is not returned to the mixer
Vilches and Wheatley [5] have reached O 0045deg K with this method and 3
maintained it for about an hour before depleting the He bull The proce s s is
reversible and thus for isothermal operation the heat absorption is simply
given by (37) However for T gt 0 0 1 0 K the term S3 deg should be replaced by 3
the entropy per mole of He along the solubility curve for the concentrated
phase although the difference is significant only for temperatures above lt
about 02 or 03degK For T 001 OK it is evident from (38) that (37) beshy
comes identical to H3 (Xt T) - H3 deg (T) = Q(T T)~ 3 which is the maxishy
mum value of Q(T T i)~ 3 and is a fairly good approximation for temshy
peratures up to about O 2 or O 3 deg K The greater refrigeration rate is
gained only at the expense of sacrificing the continuous nature of the 3
dilution refrigerator The amount of He remaining in the mixer after
the lowest temperature is reached is important to know thus analysis
of the transient mode is needed The natural assumption is made that
the heat capacity of the mixing chamber itself is negligible compared with
33
11
I
III
the solution Unless a large amount of cerium magnesium nitrate is used
as the thermometer the as sumption is very g~od Again by treating the
mixer as an open thermodynamic system the change in entropy of the
total system can be expressed as
oQ (51)d8t = T + on 8 J3 3
where oQ is the increment of heat absorbed for the incremental change 3
on of He in the system Equation (51) can also be put in the form3
d8
Qn3 =T-t_8) (52)dn 3
3
where Q is the heat input rate and ~ 3 the molar rate of change of He3
in 3
the mixer- and 8 is the He entropy along the dilute solubility curve3
If n is the number of moles of dilute solution and if the concentrated t 3 lt
solution is assumed to be essentially pure He (T O l5degK) then
8 t = n t 8 + n3 8 3 0
J (53)
where 8 is the molar entropy of the dilute solution from (26) The
derivative becomes
dS t OS dT dnt d8 3 deg dT 0
T dn = n t T OT)X dn + T8 dn + n3 T ciT dn3 + T833 3 3
e dT dnteo dT
= n -d + T8 -d + n3 -d + T8 0 (54)
11 n3 n3 3 n3 3
The mere process of cooling the liquid will automatically cause a small 3
transfer of He from the dilute to the concentrated phase This is evident
from application of the leverage rule to the phase diagram For tempershy
atures les s than about O 15 0 K this effect is quite small and so dnt l dn3
is
34
taken to be zero One calculation was made for a starting temperature
of O 3 oK In this case dnedn was still taken as zero but the value for C3
-1 -1 was taken as [7] C = 64T joules mole deg for a 124 percent solution
below 03 oK instead of using a 64 percent solution Combining (54) and
(52) yields the normalized equation
dT 03 + T (S3- S3deg) (55)
d(n n ) - (ntno) C + (n n ) C deg 3 o 3 o 3
3where n is the original number of moles of pure He in the mixer The
o term T(S3- S3deg) is the same as H (X T) - H deg(T) for T lt O 10K
3 t 3 Equation (55) was solved numerically for T as a function of n3no with
several different values for ntno and 6~ 3 In choosing values for
6~ 3 a value for the ultimate temperature to be reached is picked and
-6~ 3 is set equal to T(S3- S3deg) at that temperature
3When all the pure He is extracted from the mixer continued
3pumping will then begin to remove He from the remaining dilute solution
The obvious question is will this continue to produce a refrigeration effect 3
As the concentration of He in the dilute phase is reducedthe osmotic
pressure is lowered thus work is being done by the system Since the
process is reversible (52) also describes the behavior in this case
However S now becomes t
S t =n3 S 3 + n 4 S 4 deg (56)
so that
(57)
The term n3 dS dn can also be expressed as3 3
35
dS 3 i 08 3 dX oS3 dT n3 dn
3 =n3 oX JT dn
3 + n3 aT)Xdn3
08 3 C 3 dT] = X (1 - X) [ oX) + T dX
T (58)
where the relation X = n3(n + n4) has been used When (58) is entered3
into (57) (52) may be written as
oS bull bull - I 3 dT ]Qn 3 = X (1 - X) LT
oX)
T+ C 3 dX
(59)
3The term (oS3oX)T is always negative and so heat is given off when He
is added to the system (xi 3 gt0) but heat is absorbed during removal of
He3 (~3 lt 0) Since S3 approaches infinity as X decreases to zero the
limit -0 3 00 as X 0 must follow for T =constant However the 3
total isothermal heat absorption per mole of He originally in solution
when going from the concentration Xi to X f given by
l X oS i - Xi r f X (_3) dX
bQno = T x ) j X 1 - X oX T 1
1 (60)
has a finite value for X 0 This is so because S3 increases only asf
-23X for X o
Cooling may als 0 be accomplished by adding pure He4 to a dilute 4
solution through a superleak If the incoming He is at the same tempershy
ature as the dilute solution then the process also would be reversible
In the reversible cc-se the heat absorbed is also given by (52) but with S3
replaced by S 4 0 and n3 replaced by n bull From the system entropy in (56)4
the derivative becomes
36
(61)
which then leads to a heat absorption rate of
bull 2 r (deg53) dT ]Qn 4 = - X l oX + C 3 dX
T (62)
Even though (62) is always less than (59) n is not limited by a pumping
4 rate and therefore can be made much larger than rl Hence Q could be
34
made larger in this second case where He is added to the solution comshy3
pared with the case where He is removed from the solution However 4
in practice the incoming He will always be at a temperature T which is 1
higher than T This reduces the refrigeration rate to
(63)
4where the last term in brackets represents the heat load in cooling the He
3from T to T The total heat absorbed per mole of He in solution when
1
going from the concentration Xi to X at T = constant is thenf
~Qn3 = T[5 (X T) - 5 (X T)] - [(Xi - Xf)X X ] [H deg(T ) - H deg(T)] bull3 f 3 i i f 4 i 4
(64)
For Ti = T this expression approaches infinity as X goes to zero Forf
X laquoXi the last term in (64) becomes (1X )[H deg(T ) - H deg(T)]f f 4 i 4
4 Results and Discussion 3 4
4 1 Properties of He in Liquid He 3 4
The entropy of He in He calculated from (19) is shown in
figure 7 as a function of temperature for various values of X The
37
50 M gt1
40
TO Q)
0
I~ 30 0 E en Q)
J 0
J
gtshya 200 a r z w
pure He3
o 01 02 03 04 T oK
3Figure 7 The Entropy of He in Liqui~He 4
as a Function of Temperature for Various He Concentrations
38
3 entropy of pure He is also shown for comparison All the properties of
4 3He 3in He are listed as per mole of He Of special interest is the entropy
for X = O 064 in the low temperature limit which is given as 53 = 107 2 T
joules deg-1 mole -1 This expression is good to within 1 percent for temshy
peratures up to about 004degK For those interested in more precise
values 53 is listed in Table 7 of Appendix D along with values of (05 oXT3
-4for temperatures below 1 5degK and X between 10 and 03 The horizontal
line drawn in the columns for X gt O 064 indicates the location of the solushy
bility curve The only uncertainty in 53 comes from the specific heat The
weakly interacting Fermi-Dirac gas model fits the measured specific heat
to within experimental error thus the experimental uncertainty of about
1 - - 2 percent is all that carries over to the calculated specific heat and
entropy The ideal Fermi-Dirac gas chemical potential IJ is listed inf
Table 8 since it may be useful for certain calculations
The enthalpy H3 from (20) is shown in figure 8 and also compared
with H3 0 Again more precise values are listed in Table 9 of Appendix D
It is evident from figure 8 that (oH oXT changes sign at about 02degK and3
that H3 for X lt O 064 becomes less than H3 deg for temperatures below O IOK
The effect of these two occurrences on the dilution refrigerator will be disshy
cussed in section 43 The enthalpy values contain an additional uncertainty
not found in the specific heat and entropy namely the uncertainty in
1-l3 r It can be speculated that the resulting uncertainty in H3 for high
temperatures will never be larger than the order of 5 percent The
greatest uncertainty will be for lar ge concentrations For concentrations
much less than 64 percent the error in H3 should be less than about
02 joulesmole at all temperatures On and very near the solubility
curve H3 will be nearly as accurate as the specific heat and entropy
The osmotic pressure has been evaluated from (24) The results
are shown in figure 9 and listed in Table 10 of Appendix D Table 10
39
8
Hi 0 57
~~------~------~~------~------~------~------~--------~----~
6 0 E shyen CI)
J 0
-)
4 gtshya J ltt J t-Z lampJ
2
o
Figure 8
01 02 T oK
03
The Enthalpy of He3
in Liqui~ He4
as a Function of Temperature for Various He Concentrations
04
40
-2
--------------------
IOOO
r----~~--r_~~~~~~----~--_r--r_r_~~~------r_--r__r~~_
IOO
J--
A
V~~~
-~
~
IDE
AL
FE
RM
I-D
IRA
C G
AS
X
=0
64
_
---
X=
0
64
10
X
=O
shy 0 ~
X=
OI
~
01
01
laquo
I
001
1
0
Fig
ure
9
01
01
T o
K
3 4
Th
e O
smo
tic P
ressu
re o
f H
e in
Liq
uid
He
as
a F
un
cti
on
of
Tem
pera
ture
fo
r V
ari
ou
s H
e3
Co
ncen
trati
on
s
also lists values for the expression -[ IJ4(X T) -1l O(T=O)] The fountain4
pressure Pf is shown in figure 9 for comparison with the osmotic pressure
The dashed line in the figure represents the osmotic pressure of a 64 3
percent solution if the He is treated as an ideal or non-interacting Fermishy
Dirac gas In that case IT is given as ITv = 23 U where U is the internalf f
energy of the ideal Fermi-Dirac gas It is evident that even weak intershy
actions can change the osmotic pressure considerably The limiting
values of IT at low temperatures are strongly dependent on the shape of
the (-1J r - L deg)R curve below X = 0064 andconsequently contain fairly3 3
large uncertainties perhaps the order of 10 percent Measurements of
the osmotic pressure for temperatures somewhat les s than T f would then
be extremely useful in determining the exact behavior of 1l3 I and the intershy
actions The classical expression [3] for the osmotic pressure
E TI V 4 = - RT tn(l - X) - iJ 4
(65)
4where 1l E is the excess chemical potential of He in the liquid solution
4 has been used in the past [3] for high temperatures The term 1l E conshy
4 tributes only a very small part to IT at these temperatures and thus IT
is nearly proportional to T For temperatures less than the order of
T f quantum effects come into play and prevent IT from going to zero at
T = OOK It is instructive to compare the calculated values of IT with exshy
perimental results at temperatures of O 8degK and above The comparison E
is most effective if 114 is observed instead of IIbecause any differences
in IT would be greatly magnified in 1lE
bull Figure 10 shows values of 1lER
4 4 calculated by (65) from the theoretical results for II V 4 The dashed lines
give two typical experimental values [ 3 24] for a temperature of 08 degK
The lack of agreement indicates more experimental results are needed
before any conclusion can be made about the reliability of the calculated
42
005~------------~------------~-------------------------------------------------------------------~
004
003
002
001
T 0 OK
-001
10
04
Data of London et of (T 08 OK)
o -=-- - 02
01
o 001 002 003
4Figure 10 Behavior of the Excess He Chemical Potential as Deduced
from the Osmotic Pressure of He 3 in He4 bull
43
II although the uncertainty in II is approximately an order of magnitude
less than that of 1-14 E R
3 44 2 Properties of the Total He - He Solution
Tables 11 through 13 of Appendix D list the specific heat entropy 3 4
enthalpy and excess enthalpy for the total He - He solution These 3
results are listed as per mole of solution instead of per mole of He as
in the previous section Figure 11 compares the values of HE calculated
from (31) with experimental results Lll 26] In general the agreement
is very good except for high temperatures and concentrations which is
to be expected from the model used here It is interesting to note that
HE becomes negative for temperatures les s than about O 15deg K This
inversion temperature is shown as a function of X in figure 16 (p 55)
denoted as curve ll Below this temperature heating rather than coolshy3 4
ing occurs when pure He and He are mixed together to form a solution
This result of course has no bearing on the dilution refrigerator since
in that case it is not the pure components which are mixed together The
reverse process separating a mixture into its two pure components
does produce some refrigeration and will be discussed in detail in section
43
3 4The vapor pressure of the He - He solutions as derived from
(32) are shown in figure 12 and listed in Table 14 The results in
figure 12 show the ratio PP3deg so that curves for several temperatures
can be included on one graph Again there is good agreement with exshy
perimental results L27] The experimental curve shown for O 4degK was
taken as the vapor pressure of the concentrated phase given approxishy
mately by P = Xu P3deg The vapor composition used in the calculation of
P is listed in Table 15 Fortunately X is not very sensitive to WR for v
X larger than about O 5 v
44
Q)-o E
fh Q)
l o ~
--------- T =OOK
-Ol~~--~~--~~--~--~~--~~--~~--~~~~~
08
06
04
02
o
I et 0 I
--0--de Bruyn Ouboter I 115degK
rJ Sommers et 0 I T = 102deg K II
- This Work I I
I I
I I
I cent I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I l
~~~___________ a
02
o 005 010 015 x
3 4Figure 11 The Excess Enthalpy of He - He Solutions as a Function
of He 3 Concentration for Various Temperatures
45
10 r------__--------------------
08
OS
o~ a
0
OA
010
O8degK 005 02
r 0 o 001 Q02
o 01 02 03
This Work
--- Experimentol
fill 015
x 3 4
Figure 12 The Vapor Pressure of He - He Solutions Divided by the Vapor Pres sure of Pure He 3 as a Function of He 3
Concentration for Various TeITlperatures
46
The differential heat of vaporization A is derived from (35) and vt
the term A E vt which represents the deviation from the ideal differential
heat of vaporization is plotted as a function of X in figure 13 The dash-v
ed part of the curves are in the region of X gt 03 and so represent intershy
polations The as sumption was made previously that the solutions could be
treated by regular solution theory to find X from a given value of X at the v
temperature T The relationship between X and X is therefore subjectedv
to some uncertainty especially for X less than about O 5 The term E v
A II from (35) uses both X and X which would appear to cause an unshyv~ v
Ecertainty in A However the term ~ in (35) is very nearly linear in
vt E
X which results in A being practically independent of X Thus for a vt
given value of X the uncertainty-in AE is nearly removed The directII
v ~ E experimental results of Sommers [28] and results deduced from H
data [11] are also shown in figure 13 for comparison
3 44 3 Applications to the He - He Dilution Refrigerator
The enthalpy H3 (X T) and entropy S3 (X T) along the lower t t
solubility curve are listed in Table 16 The maximum heat absorption
rate Q(T T)~3 calculated from (36) is also listed and applies to the case 3
where only pure He is circulated Plots of H3 (Xt T) H3 deg (T) and
Q(T T)~3 are given in figures l4a and 14b For temperatures less
than about O 04degK the expressions
Q(T T)n3 = 82 T2 joulesmole He 3 (66) I
fit the results within 1 percent These numbers are somewhat smaller
than those given previously by this author [ 29] since the binding energy
E was changed to fit the latest results [9] on the solubility curve The o experimental behavior of Q(T T)n is (83 plusmn 4) T2 joulesmole He 3
3
47
o -I
-2
-3cu
0 E
en
-4
cu
J
0 J -5
~
-t0
0
111
gt
lt
-6
-7
-s
-9 I
I I
I I
I
I
I I
I
a 0
1 0
2 0
3 0
4 0
5 0
6 0
7 O
S 0
9 1
0
I E
xper
imen
tal
I
Xv
Fig
ure
13
T
he D
ev
iati
on
fro
m t
he I
deal
Dif
fere
nti
al
Heat
of
Vap
ori
zati
on
of
He
3 -
He
4 S
olu
tio
ns
5
Q)
o E (J) 2 Q)
J o J
1 f 1( ~
IJ I I
IV J J
j I IJ
J
IV I H3 (Xl T) 1 I
~ I OfT T) 113 V I
L1 I J
IX J H3O(T)II I
I J II IJ
1 I IJ I I I(
II I JIfj I
1 V III V
J
2
2 5 2 5
Figure 14a Plots of H (X T) H (T) and O(T T)~ 3 =H (X T3 t 3 3 t
- H3 0 (T) for Low Temperatures
49
10
5
2
~lcP o E
fI) Q) 5 J o
J
gt-~
Q 2 -J lt c t- _I 210 W
5
2
-210 10 2 5 101 2 5 10deg 2
J II-2
I III i
IJ i V
II Ifj
H3 (X T)
J
JJ
~ h
JV W
JV
II rl
J I(
V 1
J
rj
J V
L
~
V~ ~ I
J
II
~ I ih ~I
J V Ill
W II j V
J LI 1 f
IJI( Jt Q(TT) h3 j
V )
(HffTJ
I 1
I 1
I JI
1
I
I
T oK
Figure 14b Plots of H3 (Xt T) H3 (T) and a(T T)~ 3 for High
TeITIperatures
50
3Peshkov [ 10] gave the value 100 T2 joulesmole He from his calculations
using X = 005 as the limiting solubility The same result would be
reached in the present work by considering a 5 percent solution Vilches 2
and Wheatley [5] also derlved the value 82 T but 59 percent was used
as the limiting solubility The uncertainty of the present results beshy
tween O 004degK and O 2degK for H 3
(X-f T) and Q(T T)~ 3 are estimated to
be about 2 percent judging from the experimental uncertainties in C 3
C3
0 and the solubility curve Above O 2degK the accuracy may not be
quite as good
For temperatures less than about O OlooK considerable uncershy
tainty exists in C deg According to Balian and Fredkin [30] the limiting3
temperature dependence of C deg should have the form C oT = 3 3
A [-fn(BT)] 12 The experimental results [31] below O OlooK neither
confirm nor deny this temperature dependence If this form is correct
then at sufficiently low temperatures Q(T T)ri would become zero though3
-6 temperatures less than 10 oK would probably be required A more
recent theory [32] shows that C degT approaches a constant value at3
3T = OOK A transition of He to a superfluid phase in either the pure or
dilute liquid would also alter the present analysis below the transition
temperature However neither of these effects should change the presshy
ent calculations at O 004 0 K and above
It is obvious from the curves in figures l4a and 14b that the 3
incoming pure He can be at a much higher temperature than the outgoing 3
dilute He and still provide refrigeration It can be deduced from (66)
that for temperatures less than about O 04degK the refrigeration power
goes to zero when (T T) = O 36 where T is the temperature of m 1 Q=O m
the mixer More exact values of this ratio are given in Table 16 and
are slightly dependent on T bull For small residual heat leaJlts the limiting m
temperature of the mixer is thus determined solely by the inlet
51
3 temperature of the pure He For example if the residual heat leak is
5about 1 ergmin or less for a circulation rate of about 2 x 10- moles
sec then the mixer will reach O 005degK for an inlet temperature of
0014degK Unfortunately heat transfer at these low temperatures beshy
comes very poor and it looks as though considerable research on heat
exchanger properties and design are required to reduce the temperature 3
of the incoming He to this low value
4 3Any He in the incoming He stream will reduce the refrigeration
effect as given by (41) for temperatures below about 02degK For temshy4
peratures of O 040 0 K and below the influence of He is easily evaluated
since H (Xf T) and H deg(T ) can be represented as in (66) Figure 153 3 i
3shows how the concentration of He in the circulated gas stream can
affect the refrigeration capacity in the mixer The figure shows plots of 2 2
(QT m)X obtained from (41) normalized by the quantity (QT m )X= 1
for various values of the ratio T T Values of T T near 1 0 can m 1 m 1
only be achieved with nearly perfect heat exchangers something quite
difficult at very low temperatures If it is assumed that the presence 4
of He has no effect on the heat exchange properties then T and T 1 m
will remain the same for all X and the curves will then show the ratio
(Q)X(Q)X=l The dashed line in this figure represents the reduction in
refrigeration capacity which would be due only to a reduced amount of 3
He bull Obviously this curve is quite different than the more exact curves
especially for low values of T T Most of this difference is due to m 1
the fact that some dilute phase with its very high heat capacity must be 4
cooled from T to T whenever He is present in the incoming stream 1 m
From the curves shown in figure 15 it is easy to see the importance of 4
eliminating He from the gas stream particularly at low temperatures
where T T will be low and near its ultimate value The other curve m 1 3
in figure 15 shows how the ratio (T T)Q 0 varies with the He m 1 =
52
01
V
J
IDmiddot
bull
08
06
04
02 o
02
0
4 0
6 0
8 1
0 x
Fig
ure
15
Th
e R
ati
o o
f M
ixer
Tem
pera
ture
to
In
let
Tem
pera
ture
fo
r Z
ero
Po
wer
Inp
ut
an
d t
he R
ati
o Q
T2
as
a F
un
cti
on
of
He
3 C
on
cen
trati
on
in
th
e C
ircu
late
d G
as
m
4concentration in the gas stream The effect of He on this ratio is
fairly small for less than about 50 percent He4
It will now be shown that the fractional change in T itself is m
only slightly larger than the fractional change in the ratio (T IT)a-om 1 -
This fact can only be found from an analysis of the heat exchanger A
system of several individual heat exchangers of the type used by Vilches
and Wheatley L4] will be assumed but only the lowest temperature heat
exchanger will need to be analyzed In the ideal case both the dilute and
concentrated streams will leave the lower heat exchanger at the same
temperature T The dilute and concentrated streams enter the heat 1
exchanger at the temperature Tm and Tb respectively At low temperashy-1
tures the specific heat of the two streams are C = 107 T joules mole -1 -1 -1 ~4
deg and C = 25 T joules mole ieg bull A heat balance is then made3
0
on the heat exchanger which leads to the condition
2 dT T dT
1 = O 81 (~) m (67)T T T
1 1 m
For T IT = O 36 this becomes dT T = O 11 dT IT Therefore m 1 11m m
T changes very little for a change in T and the fractional change in 1 m
T will be only about 11 percent larger than the fractional change in the m
ratio (TmTi)a=Oat least for (TmTi)a=O near 036 The ratio
(T IT )a decreases by about 7 5 percent when going from X = 075 to m 1 =0
X = 1 0 so T will decrease by about 83 percent for this change in X m
In the case where the two streams do not reach the same temperature in
the heat exchanger the change in T will be slightly less than in the m
ideal case
In figure 16 is shown the locus of points where H3 = H3 0 which 3
is designated the inversion curve III Diluting the He to any point below
54
05~----~------~----------------------
004
10
05 ------------------ o
006
002
PHASE SEPARATION
REGION
008
15 r---------------
04
03
o t shy
02
01
o
3 4Figure 16 Enthalpy Inversion Curves for He - He Solutions The
inset shows the high temperature end of the curve I
55
x
this curve without doing work results in a heating effect whereas above
this curve a cooling effect takes place This inversion curve I given by
(oH oX) = 0 is also shown in the same figure Below this curve the maxishy3
3 mum cooling effect is achieved by diluting the He no farther than the s olushy
3bility curve Above it maximum cooling occurs when the He is diluted as
much as possible but still remains above the curve 1 To prevent a loss
of refrigeration at temperatures below inversion curve I requires the 3
mixer to have a very small impedance for the flow of He so that dilution
below the solubility curve can not take place The technique of bringing
about extra dilution above curve I is discussed later The curve II in
figure 16 was mentioned in section 4 2 but for completenes s is restated 3 4
here Mixing pure He and pure He such that the resultant solution is at
a point below curve II results in heating whereas cooling results for a
point above curve II
The concentration in the dilute stream between mixer and still is
shown in figure 17 for various mixer temperatures These concentrashy
tions are for constant ~4 The specific heat C~4 of th~ He3
in the dilute
stream is shown in figure 18 also given for various mixer temperatures
For a mixer temperature of OOK the specific heat becomes C~4 = 1072 T
joules mole -1 deg -1 in the low temperature limit which is the same as
C for X = O 064 The classical value of 52 R would hold at high tempershy3
atures if the process was at constant IT instead of constant ~4 Values of
C~4 are useful in the design of heat exchangers and so are listed in Table
17 along with X and 8 for constant ~4 for several mixer temperatures3
The vapor pressure of the solution in the still is plotted in figure
19 as a function of still temperature with the mixer temperature as a
parameter The heat of vaporization of the liquid in the still and the
vapor composition (neglecting film flow) are both shown in figure 20
56
08
06
~
o
tshy~
04
02
PH
AS
E S
EP
AR
AT
ION
R
EG
ION
o 0
02
0
04
0
06
0
08
0
10
012
X
F
igu
re 1
7
Co
ncen
trati
on
Pro
file
s f
or
Co
nst
an
t J
4
TABLE 9
THE ENTHALIIY OF HE3 N HE4
H3 (JMOLE)
~ 00001 00002 00005 00010 00020 00030 00040 00050 00060 00080
ClO
0000 -210606 -208000 -202153 -194785 -1083391 -174107 -166024 -15e71 -152114 -140192 0001 0002 0003
-21002 -2~865
-211696
-20719 -206591 -205173
-111943 - 01329 -200368
-94652 -19425 -19361 i
- 83307 -183056 -182640
-174043 -173850 -173531
-16f)971 -1651111 -165547
-1511716 -1511578 -1511349
-52073 -151151 -151748
-140159 -140058 -139889
001l4 -2115134 -203543 -199 146 -192742 -82066 -173087 -165178 -158030 -151464 -139654
0006 -211285 -199965 -96198 -190460 -180476 -171839 -164 135 -157124 -150658 -13e9A4 0008 0010 0012 0014
-1Q7317 -1Q3291 -1J1923j -1R515ii
-196171 -192268 -188302 -18494
-192854 -189284 -85576 -181775
-18767Q -18456 -08122 -177727
-1711385 -175903 -73125 -170120
-170151 -168084 -165706 -163074
-162706 -160928 -158844 -156500
-15876 -154308 -15449 -150333
-149543 -148134 -146451 -144521
-138053 -1middot36870 -1035445 -133793
0016 -1A1054 -1110258 -177910 -1741111 -166940 -160235 -153937 -147995 -142368 -1031931 0018 0020 0075 0030
-1769411 -172834 -11I252 -1I219i
-176202 -172130 -161905 -151636
-173997 -170048 -160065 -149977
-170425 -16666 -157065 -147267
-163624 -160200 -151286 -142023
-157229 -1540 86 -145774 -136993
-151190 -148287 -140001 -132158
-140465 - 104279 -130448 -127500
-140022 -137504 -30596 -1n009
-129877 -127650 -121438 -114483
0035 -141850 -141340 -139823 -137341 -132528 -127894 -123424 -11QI05 -114927 -106962 0040 -141497 -131025 -129623 -1273211 -122869 -1111567 -114406 -110379 -106475 -09900 0015 -11l3 -120697 -19391 -117251 -113091 -109070 -105177 -101 401 -097736 -090711 0050 -110771 -110359 -109134 -107127 -103222 -099445 -095783 -0922211 -088774 -082144 000 -090029 -089661 -~8E1568 -0877 -083287 -079910 -07633 -07~448 -070349 -064389
0070 -09278 -068944 -067953 -066329 -063168 -060108 -057138 -054251 -051440 -046030 OOAO -049520 -048214 -047305 -045817 -0middot42923 -040122 -03 7404 -034762 -032190 -027241 0090 0100 0120
-0~7757 -Oii699i 04540
-027474 -006727
034782
-026634 -005945
035470
-025259 -004666
036595
-022586 -002182
038774
-020002 000218 04n874
-017496 002543 042905
-015061 004801 044874
-012691 (11)6991 046186
-001133 011218 050452
0140 076096 076304 076921 0779lt5 079866 081731 083531 08S273 086960 0Q0186 0160 01110
11 764shy159203
117837 159376
1 8394 59884
119301 1060711
121050 162300
122725 1631117
124338 165274
12158Q4 16676
127398 16A028
130266 170595
0200 2n0761 200920 201387 02145 203599 204983 206307 207578 208800 211112 0250 314663 304795 305182 305807 306996 308117 309182 310196 11l63 312972
0300 4n8571 408684 409012 409538 410531 411459 412331 413154 413932 415367 0350 0400 0450 0500
512485 6640[170]2n 8lt4240
512582 616486 720394 824305
512864 616730 720608 824493
h13313 6171111 720944 1124786
514154 617836 721561 825317
514Q31 618491 722115 1125785
515653 61 9093 722616 82c201
51328 619647 723070 826571
516Q58 1120157 723482 826899
51100 621deg3 724191 A27441
0550 928161 928lt19 928384 Q28641 929097 929491 929834 930131 930387 930786 0600 0650 0700 0750
1O~2084 1146007 12993 1343854
1032135 1136052 1239970 1343890
1032280 1136180 12 40084 143989
103t504 1136375 1240253 1344136
1032895 1136710 1240536 1344373
1033226 1136983 1240760 1344551
1033505 1131206 1240932 1344679
O33738 1137384 1241060 1344761
1033931 1137520 12411 47 1344804
1034205 1137684 1241212 1344781
01100 1447779 1447810 1447897 144AG23 1448219 1448356 1448443 14411485 14411487 1448383 0850 151704 1551731 1551807 1551914 1552073 1552112 1552221 155226 1552192 1552015 0900 1605629 1655653 1655718 16558011 1655932 Hbullbull 55997 1656012 165119114 1655915 1655672 0950 1000
17955 18f3480
1759576 1863498
1759631 1863545
1759705 U63604
1759797 1863667
1759831 1863672
1759815 11163627
1759755 18 63538
17t0655 lR63410
1759351 11163048
11(10 2071333 2071345 2071376 2071409 2071419 2071372 2071275 2071135 2070955 2070492 1200 1300
l7918 lt4A7030
2279194 2487043
2[179211 2487048
2279220 2487037
2gt791115 24F16962
2279092 2486828
2278950 248c646
22711764 2486421
2278540 2486157
2271Q88 2485527
1400 1500
69489 29n2747
2694893 2902744
2694887 2902728
26948511 2902683
2694747 2902540
2694578 2902338
2694360 2902089
2694100 290796
2693801 2901466
2693100 2900702
Page 101
TABLE 9 laquoCONTINUED)
HJ IJMOLE)
T~X 001011 1)0150 00200 00250 00300 00350 00400 00411i0 00500 005-0
flO
0000 -19~4 -107331 -088986 -073383 -059844 -047941 -037382 -027953 -019495 -011881 0001 -19612 -101308 -n88967 -il73367 -059~30 -047928 -037370 -027942 -019484 -011871 0002 00113
-19524 -19H9
-107lt41 -10729
-n88912 -ii88~118
-07331t -073238
-059786 -059715
-047889 -047824
-037334 -037274
-027908 -027853
-laquo)19453 -1119401
-0l1i4i -011793
001)4 -1gt9175 -106972 -ii88688 -073125 -059614 -047733 -03790 -027775 -019328 -011724
0006 -118590 -06525 -088317 -072802 -059327 -047472 -036951 -027553 -019120 -0011528 0008 0010 0012
-17787 -1gt757 -1gt5516
-105902 -105103 -104133
-ii87797 -~ 8732-086321
-1172352 -071 774 -071069
-058925 -0011410 -057782
-047108 -046640 -046070
-036616 -036186 -03MI
-027241 -02842 -026354
-018828 -1118454 -017998
-Ol1254 -010901 -010470
0014 -1gt057 -102994 -ii853611 -070239 -057041 -045397 -035041 -025779 -617458 -009962
0016 -1gt2409 -11)1692 -084274 -069286 -056189 -044622 -034329 -025116 -016837 -009377 0018 0020
-1105711 -118076
-100233 -098622
-083043 ii81678
-068210 -067015
-055227 -054157
-043747 -04gt773
-033523 -03224
-024366 -02J530
-1116135 -1115351
-0oa74 -007975
0025 -1 i2920 -093983 -071710 -063522 -051018 -039910 -029982 -021069 -013042 -000796 0030 -1n650 -088571 -073012 -059300 -047248 -036458 -026788 -018089 -010242 -003150
0035 -099117(1 -1182512 -067670 -054559 -042891 -032450 -023067 -014609 -006967 -000052 00110 0045 0000 0060
-091956 -0114059 -075852 00872
-075911 -068859 -061431 -0 45675
-ij61772 -ii55396 -~48607 -034016
-1149215 -laquo)43385 -0371ZA -023534
-nn996 -0J2617 -0gt6806 -014069
-027925 -022924 -017492 -005500
-0lBe51 -014172 -009067
002274
-010654 -006252 -0oi432
009334
-11113237 ) 00926 005497 015751
003484 0middot07438 011798 02584
0070 -0088) -029007 -018365 -00877A -1)00107 007758 01 4901 021 397 027304 032674 0080 0090 0100
-02252~ -113795
0i531
-011660 0116205 024471
-iin1911 ~15164 032732
006877 023239 0 40115
014828 030538 046875
022039 037151 052942
0 28589 043150 05tl433
034543 0411596 063405
1)39956 1153538 067904
044873 0511018 071971
0120 039Z7 061A96 ii6lS982 n75317 080999 086108 0911702 094829 0911530 101h2
0140 0)3234 100181 106307 111741 116570 120867 124693 128092 131101 13-754 0160 0180
1296 172999
139068 178394
44396 183046
149071 1amp7073
103119 90563
156791 193580
159955 196178
162720 1911393
165125 gt00265
167198 201826
0200 23265 2181153 22123 225592 228543 2JI042 -33139 234875 236282 237388 0250 34630 318gt16 321128 323479 325350 J26801 327P81 328629 -29077 329253
0300 46656 419342 421383 422889 423937 424588 424888 424875 424579 424028 0300 0400 0450
59101 6183)74760
521081 623239 725697
522437 1124037 726031
523275 6211333 125873
523673 624200 125296
523689 623695 724357
523367 622864 723099
52745 62i743 721 558
521854 120361 719763
520718 618743 717740
0500 8785) 828379 1128319 A27775 1126820 820510 1123888 821988 A19841 II 17470
0500 9 on 054 931234 930834 929956 928675 927043 92105 92gt895 920442 917769 0600 104349 lO34225 lii33527 1032358 1030790 102A877 1026662 1024180 1021457 101819 0650 0700
117718 12411 49
1137325 240516
1136364 1gt39320
113493A 1237663
1133116 1gt35615
1130954 1233231
1128494 1230551
1120769 122760
1122809 1gt24436
1119636 li21052
0750 1344630 1343781 1342374 IJ4(1510 1338258 133t673 1332796 1329660 n26294 132-720
0800 1448153 1447109 1445511 1443459 1441022 14311255 1435199 14 31 887 1428346 1424599 0850 0900 0950 1000
155171- 165530 ]7lt8921 181I256
1550491 1653918 175786 IIloOIl88
1548718 151986 1755307 1858673
154495 1149606 1752782 11156015
1543890 1646847 1149881 11152982
1540957 H bullbull 43762 1741656 1849627
1537737 1640392 1743148 lIh4S992
1534264 163770 1739389 18 4Z107
1530563 1$32924 1735408 11138001
1526660 1628876 1731227 1833697
1100 20990 2()67982 21)65523 2062625 2059356 2055769 2051904 2047793 21)43463 2038937 1200 227731 2275173 2272501 2269394 Zi65919 2262129 2258063 2253754 2249229 224451)9 1300 1400 1500
4A4774 2692278 2899AIA
2482443 2689776 2897163
2479583 2686749 21193985
2476290 28329 2A90379
2472634 2679473 211S6415
2468664 267t343 2AB2141
2464421 2670942 2877598
245q937 2666302 28728 18
2455239 2661449 2867826
24511347 2656405 2862644
Page 102
TABL 9 (CONTINUEO)
H3 IJMOLE)
T~middot 006(1) 00640 00650 00700 00750 00800 00900 OOOO Oll 00 Oll00
00
0000 00t1 0(1)2 00(13 0004
-0rS013 -00004 -04971 -0(4931) -0~4116C
1)00000 000009 0(01)360)1)080 000143
001191 ~01200 iiOlntgt ii01270 iiOl3n
006799 006A07 1)068llt 00687lt 006934
011867 011875 011899 011939 011996
016443 01451 016474 016513 016567
0l42Al 024289 024 ]10 024346 024397
0305M 0lri591 0]06 11 03Q645 030693
035561 035567 1)35587 035619 1)35663
039377 039383 039402 039432 039474
001)6 oOos OOH 00tgt 0014
-01I467Q -0~4410 -O408C -03677 -0319r
000321 000571 000R92 001284 101747
1101)1509 ~01756 01)2074 00243 ii02921
1)07103 007330 0(764)oollon I)OR451
012158 o123A4 012675 013031 013451
016n3 016941 017220 017562 017965
024542 024744 025004 0l5322 025698
0308211 031018 03i262 03j560 031 9 12
035791 035970 031201 036482 036814
039596 039766 039984 040251 040566
0011 0018 0020 0025 0030
-0l264 -02012 -01311
l)ii0756 03(61
002280 002884 003558 005546 007962
003449 004047 004715 ii(l6684 009078
008951 00952F 0101Alt 0120411 (I1 433S
013934 014482 015094 016899 019096
018430 0111957 019545 0212Bl 023394
026130 026620 027168 028 784 030753
032318 03~778 0332(11 034808 036656
037197 037631 n]A1l5 0]9547 041293
040929 041341 041800 043160 044816
003S 0040 0045 00ltgt0 001l0
0116217 O~977 0i314f n17O~ 0gt6A8~
010797 014039 017675 Oc1688 030770
0118B7 nl)101 ~ ii2c68S ii31695
017027 O2010~ n23563 n273l1 036051
021677 024635 127960 031639 040003
025A79 (I2A728 031932 035481 04)563
033070 035729 0311723 0 42044 049628
038830 04i331 044148 047276 054434
0middot43349 045712 0411377 051339 058127
046769 049014 051547 054364 060829
0070 00110 0090 01(10 O po
O~7551
04933 0 2074 1)763Q 1-479
041129 052600 065036 078307 106Q20
041979 n53375 n65738 078938 l07418
045981 057026 069037 08194 109732
049606 060314 071995 iIA4531 111759
052864 063163 074636 0136867 113516
058390 068230 0711040 0010714 116286
062729 072077 0823A6 09)559 11A152
066015 0 74927 n84787 095508 1101208
068356 076882 086337 096647 119529
0140 0160 OlAO 0200 OSO
136077 IAA96~ 230911 28221 3gt9170
137717 17075 203926 238705 328956
138 097 170451 204107 38BOl )28878
191133 171671 0048601 23914Q 32113lt
141306 172649 205401 239279 327647
142532 173396 20717 2301206 3lt6748
144303 174256 205754 2311497 324447
1415247 174350 205072
~21 54 1
145449 1 73756 203744 235109 318094
144919 172539 201834 232559 314159
0300 43242 422460 422243 421046 419666 41A115 41 4547 4104 14 405781 400702 0350 0400 0450 0500
519350 fIii691ii 715508 11489
518125 615303 713585 812702
r17797 1S14882 713086 A12136
S16047 612673 710489 A)9206
014123 610297 707731 A06120
512038 607767 70_11124 A02888
507427 602286 698604 196030
5002118 596302 691899 7BA703
496684 1)139873 614767 780964
490659 583048 617251 772858
0550 0600 060 0700 0750
0Il4891 10i538f 11627 12i747A 13A951lt1
912468 1012750 1113450 1214494 1315A26
911844 1~12074 1i12728 1213731 131502
908624 1008599 1109027 1209821 110937
905251 1004974 1105177 1205775 106704
901736 100110 1101191 1201590 1300340
1194323 993305
1092849 1192857 1293251
886452 984954
1084070 1183692 1283739
R71n80 h76211
1074907 1174152 1273857
16955] 967U3
10615406 1164280 1263649
OIlOO 14gt0667 1417399 1416566 1412310 1407913 1403384 1393974 1384145 1373952 1363438 0850 Ogeo 0900 1000
)5gt2571 1624645 176864 18gt9212
1519181 1621140 1723gt55 1825506
1518317 1620248 1722337 1824564
15139)A 1~15700 1711660 11119767
1509360 1611013 1712845 1814834
1504682 1606198 1707903 lA09774
1494976 1596221 1697616 1799316
1484858 158r836 1687045 I18A457
1474]80 1575096 1676063 1777250
1463586 1564044 1664173 1765739
1100 1200 13eo 1400 1500
2034233 223911 lt445B 2C1l8A 1lr729lt
2030)54 2235582 ~441117 2646903 2852R98
21)29368 2234559 2440060 2645816 2A517e4
2024357 22293501 2434693 2 40301 2A46136
2019210 2224026 2429196 2634656 21140358
2013940 221111570 2423577 26211~91 2B34462
2003064 2201330 2412013 261 7039 21322350
199195 2195702 2400061 26048014 28Oq863
lQe0185 2183737 2187789 292250 21Cl7052
1968276 2171479 2375222 2579406 2783959
Page 103
TA~LF 9 (CONTINUED)
H3 (JMOLEI
TI 01301) 01400 01500 01600 01800 02000 02250 02500 02750 OlOOO
(KI
0000 042167 044040 045089 045391 044012 0 4 (1334 033005 023100 011009 -002960 Ooni 000 0on3 0004
042173 04219 042219 042259
0441)46 0441162 0441190 044129
1)45094 n45110 1)45137 n4S174
1)453911 n45411 045417 1)454n
044016 044031 044054 0440R8
04n]38 040352 040374 040405
0l3009 033021 033042 033071
02104 024116 024136 0211(3
1111013 (loll 024 011043 011 069
-n029i6 -00gt945 -00292A -002903
0006 0008 0010 0012 0014
042370 042537 042745 04gt999 043299
044gt39 044394 044093 044836 045123
n4)2Ao n45428 045619 0451152 046128
045575 04lt77 0459n (104(1204(391)
044183 044316 044487 044696 044943
040495 040620 ()40781 040977 04)gt09
03355 n3372 n33422 033605 0331122
02242 023351 021493 02)665 02869
1)11143 011247 01138 1 011544 011737
-nOtl32 -00gt7]3 -00~606 -002451 -00gt267
0016 043645 045454 046446 046696 045228 041477 03+072 024104 011960 -002055 0018 0440311 045829 046805 047042 045SH n41781 034355 024370 012212 -0018tl 0020 0444710 046248 n47208 n47429 045912 042120 0341011 0246611 012494 -001547 0025 0030
1)45771 n4735)
047487 048999
1148397 1)491147
0411573 1)49970
046979 048281
041122 044347
035607 036750
025549 026624
(I 13327 014346
-000753 000216
0035 049212 050780 )51558 1)51616 049A18 045791 038099 027894 015548 00360 0040 0045Ooso (IOM
051354 00371 1 00(461 010264
0521130 05gt145 057723 n63(48
0S3S26 0)5750 058226 063923
1153511 055653 0511039 063530
051586 0middot53586 055815 060950
047454 049336 0H433 056269
03653 041411 043371 047A94
029356 031011 03857 037119
016933 0111501 1120251 024290
002679 004172 005839 009687
0070 069F47 070168 1170585 069957 066968 061943 053207 04212F1 029041 0014216 0010 078026 078434 0711168 077283 073842 06A433 059291 047871 034493 019415 0090 0100
0~710(171)5gt
087192 096785
1186625 095902
0A5464 094451
081536 090009
070710 0113741
1)66125 073681
054330 06l4
040629 n47433
025272 031772
0120 11QI8) 118gt19 116693 114644 109124 101915 090838 077764 062954 046625
0140 143894 14247 140080 13743 130821 1226415 1111501 096493 oFlOMl 063805 0160 0180 0200
170754 199)Q 2-9lt011
168447 196463 225998
165659 193085 22066
16t420 189290 211741
)04740 1 11 0565 208026
145599 170482 1 Q7035
132381 156204 1081727
117422 1402H 164890
100942 122966 146715
083126 104379 127362
0250 3977Q 304994 099835 [194331 [182385 26Ql22 251626 232602 212419 191220
0300 395219 389369 383182 376684 62R43 347998 3211217 307253 285263 262316 0350 4114255 477507 470447 463100 447635 431255 409667 387007 63422 339032 0400 5751167 56F1365 060567 552497 535630 517914 494745 470595 445603 4198AO 0450 0500
6Q401 74420
661247 7551191
152RI0 746701
4411A 13746gt
6260S0 718332
61)774 911444
582615 72671
557146 646035
030901 618674
50991 590697
0550 IIl060Fl 851379 A41892 FI3171 812103 791309 764454 736789 708436 679504 0600 957726 948052 938128 9279711 907074 885473 857645 829047 799809 770025 0650 0700
1055604 1154114
1045533 1143684
1035218 1133011
10246A4 1122136
1003030 1099805
980703 107821
Q52001 1047326
92562 1017123
1192511 986337 ~ 955068
07S0 1253153 1242398 1231411 1gt20214 11Q7268 1173687 1143470 111gt571 1081113 1049194
0800 1302640 1341589 1330310 1318826 195318 1271191 1240312 12011175 1176700 1144186 0850 1402512 1441189 1429643 1417895 13Q3R71 n69242 1331755 1305630 1272987 1239923 0900 1502717 1541144 1529351 1517360 149859 1467767 1435719 1403051 13M88 1336310 0950 1000
1603211 173959
1641406 1741940
1629385 1129701
11717 17172A3
59229 1691932
1561708 1666012
153439 1632960
1500967 159939
1467310 1565207
1433265 1531)7lt2
1100 1906103 1943697 1931083 19182R lR92193 lf16i554 1831627 1197138 P62204 1726921 1200 13GO
215896 gt3 24011
2146211 2349353
2133268 2336107
2120136 2226A2
2093398 2295368
2066126 2267533
2031428 2232151
1996192 219250
1960534 2159946
1924547 2123331
1400 1500
25 6312 2770619
2552996 2157061
2539484 2143309
2525796 2729384
2497966 2701088
4(9627 2672295
2433632 2(35746
2397135 259R711
gth60251 2061303
2323074 2523616
Page 104
TABLE 10
THE OSMOTIC PRESSURE OF HE3 IN HE AND THE EXPRESSION -[ ~4(X T) -~4 (TwO)]
OSMOTIC PRESSURE bull P OSM -[ ~4(X T) -~4O(T=O)] bull U
)( 00001 X bull 00002 X bull OOOO X bull 00010 X bull 00020
P OS U P 0514 U P OS U P OSM U P OSM U (Kl TORR) IJMOLEI CTORRI CJMOLEI (TORRI CJMOLEI nORRI CJMOLEI CTORRI IJMOL[I
0000 bullbull 810middot00 1783-006 15lmiddotmiddot00l 56middot2middot006 6978-003 2566-00 2181-002 8020-005 6769-002 2bullbullbull9-00 0001 0002
5509-00 7002-00
2026006 2575-006
1620-003 18l-00l
5956-006 6778-006
709l-00l 7 bullbull26-00l
2608-005 2731-00
2196_002 2238002
8073-00 82l1-005
6787-002 681-002
2 bullbull96-00 2516-00
0003 000
880-00 1OA3-003
3250-006 398Z-006
21511-003 2506-003
791l-006 9216-006
79-003 8612-003
2923-005 3167-005
2308_002 2 bullbull0l-002
8bullbull88-005 8836005
6931-002 7056-002
2Imiddot9-00 2 595-00
0006 151)2-003 5SiH-006 3281-003 1208-005 1021-002 l756-005 2650-002 975-005 7bullbull01-002 221-00 0008 0middot0100012
1 93l-003 2371-00l 28lmiddot003
7108-006 8719-006 103-005
middot1l0-003 4959-003 5822-003
1511-005 1823-005 21middot1-005
120l-002 1397-002 1599-002
bullbullbull25-005 5138-005 5879-005
295l-00Z 3292-002 365middot-002
1086-00 10210-004 1middotmiddot00middot
7855-002 8393-002 8996 002
2 888-004 3 086004 3 308-004
001middot 3257middot00l 11 98-00ll 6693-00l 2bullbull61-005 1806-002 6639-005 4034-002 1483-00 9648-002 3548-004
0016 37112-003 1361-005 7571-00l 2784-005 201 6-002 7bullbull12-00 4426_002 1628-00 103-001 3801-004 0018 0020
bullbull 149_00l bullbull596-003
1526_005 1690-005
8 bullbull54_003 9339-00l
3109-005 3434-005
2228-002 2443-002
819-005 8983-005
4828_002 5236_002
1775-00 1925-004
1106-001 1180-001
4066-00 bullbull 3l9-004
0075 0030
5 718_003 681-003
2103_005 2516-005
1156-00Z 1380-002
4252-005 507-005
2986_00Z l534-002 1~g8 6279002
7344_002 2l09-004 2701-004
137-001 1575-001
s051-004 5 191-00
0035 7966-003 2930-005 160-002 5898-005 bullbull 086-002 1503-00 8 bullbull23-002 3097-00 1781-001 65bull 9- 004 000 9093-003 3345-00 1828-002 672-005 bullbull641-002 170700 9511-002 3bullbull97-00 1991-001 320-00 0045 0050
1022-002 1135-00Z
3761-00i 4177-00r
2053-00Z 2278-002
7551-005 8379-005
5197-00Z 575-002
1911-00 2116-00
1061-001 1171-001
3900-00 bullbull305-004
2203-001 2 bullbull17-001
8101-004 8 889-004
0060 13M-002 5011-00- 2728-002 100middot-00middot 6872-002 2528-00 139pound-001 5middot118-00 2850-001 1 048-003
0070 OORO 0090
1586-002 1h2-002 20l8-002
5848-005 6690-005 7537-005
3178-002 3629-002 bullbull 080-002
11 70-004 1l37-00middot 1505-004
799l-002 9116-002 10Z-001
2941-00 3l55-00 3770-00
161 4-001 1837-001 2060-001
59l6-00 657-004 7580-00bull
3287-001 3727-001 168-001
1209-00] 1037 1-003 1533-003
0100 0120
224_fl022715-002
8391-005 1013-00
bullbull5n-002 5435-002
1673-00 2012-00middot
1136-001 1362-001
bullbull 185-004 5021-00
2284_001 2732-001
840500bull 1006-003
4611-001 5500-001
1 696-003 2 02-003
0140 l17-002 119 1-004 6338-002 2357-004 1587-001 5861-004 l18Z-001 10172003 6393-001 2 353- 003 011i1) OlFJO o 00
l619-002
g~~gg~ 1l75-004 1568-004 1712-00
7241-002 815-00~9048-00
2707-004
~2~~8g 1812-001
~~~2ggl 6709-004 756-Og48432-0 4
36l1-001 4g81-oo 1bullbull 1 -001
103middot0-003 lII98-g03 16 7- Ol
7287-001 R18~-gol907 - 0
2 684-003
Ju~gn 0250 5603-002 2345-00 11l1-001 bull bullbullcmiddot-OOmiddot 2 828-001 1066-00l 5658-001 2107-003 1132middot000 41 91-003
Oloo 67~002 3046-00 1357-001 5540-on4 3392-001 1302-003 6785-001 250-003 1357middot000 506-003 0350 0middot00
7914_002 904_002
3932_004 5068_004
1583-001 1809-001
6842-004 8394-004
3957_001 bullbull 521-001
1557_00 1837-003
7913_001 901-001
3012-003 3bullbull99-003
1582000 1807middot000
5 920-003 6820-003
0450 0501)
1017-001 1110-001
653l_004 8412-00
20l5-001 2Z61-001
1027-003 12gt7-003
5g86-001 5 51-001
219-003 2503-00l
10P00O 1130000
4018-003 middot580003
2033000 Z258middot000
7 753-003 828-003
0550 1244-001 101f 0-003 2487-001 1537-003 6Z16-00l 2908-003 1243middot000 5192-003 2bullbull83middot000 9 15-003 0600 0650 0700
13r7-001 1bullbull70-001 15I1l-001
131S1-003 1757-003 2227-003
2713-001 2939-001 3165-001
1880-003 2Z97-003 2809-003
6780-001 7345-001 7910-001
3l76-00l l917-00l bullbull 554-00l
1356middot000 1bullbull68middot000 1581middot0011
5(167-003 66~60037bullbull 9-003
2709middot000 293bullbull000 3160-000
1middot08-002 1middot20n-002 l l 26-002
075n 1696-001 28e7-003 3391-001 3bullbull50-003 e475-001 5320-003 1694+000 8bullbull33-00l 3385middot000 1 465-002
0800 0850 0900
181)9-001 1922-001 2035-001
361Z-003 bullbull 669-00l 6122-003
3617-001 3843-001 4069-001
bullbull 217-003 5375-003 6870-003
900-001 9605-001 1017+000
6271-003 7bullbull94-003 9113-003
1807000 19200011 2033 +000
9r91-003 10102-002 1785002
3611middot000 3836+000 4062000
1622-002 1807-002 2 031-002
0950 1000
2148-001 2261-001
81 4O-OOl 1094-002
4295-001 4521-001
8929-003 11 77-002
1073000 1130000
1130-002 1426-00Z
2160011 225900011
152middot-002 1R41-002
4287+000 bullbull5130000
2 311-002 2 67 0-002
1100 74117-001 2002-002 4973-001 209-002 1243+000 2l68-002 248000 224-002 4964+000 3 136-002 1200 1300 14110
27)3-001 29~9_00l 315-001
l618-002 6319-002 1061-001
5 bullbull25-001 5878_001 6l311-001
3717-002 64i7-002 1072-001
1 356000 1469+000 1582+000
bullbull 017-000 6751-002 1107-001
Z710000 2936+000 316Z+000
bullbull 515-002 7290-002 1165-001
5415000 5866+000 6317+000
5509-002 e l68-OO2 1 281-001
1500 ll91-001 1713-001 6782-001 17C6-001 1 695+000 1763-001 3388+00U 1825-001 6768+000 i950-00l
Page 105
TABLE 10 ICO~TINUEO)
X 00030 X 0000 X 00050 )( 00060 )( bull 0middot0080 T P OSM u P OS U4 P OS U P OSM U P OSM u
11lt1 (TORR) (JOLE) (TORR) (JMOLEI (TORR) (JMOLE) ITORR) (JMOLEI (TORR) tJMOLE)
0000 t3116-001 803-00 2076-001 763middot-004 2967-001 1091-003 3966-001 1bullbull58-003 62bullbull-001 2 296-003 0001 0002 0003 000
1308-001 1315-001 1325-001 1339_001
bullbull811-00 bullbull83_00 bullbull872-004 bullbull925-00
2079-001 2085-001 2097-001 2113-001
76middot3-00middot 7668-00middot 7710-00middot 7769-00 4
2970-001 2 977-001 2990-001 3007-001
1092-003 109S-003 1099-003 1106-003
3969_001 3977_001 3990_001 bullbull 008_001
1bullbull59-003 1462-003 1bullbull67-003 1474-003
6247-001 6256-001 6270-001 6291-001
2 297-003 2 30 0-003 2 306-003 2 313-003
0006 1380-001 5074-00 2158-001 7935-1)0 4 3056-001 112-003 4060-001 1493-003 6348-001 20 33-003 0008 0middot010 0012 001middot
1middot5-00115112-001 1579_001 1665-001
5276-00 5523-004 5807-004 6122-00
222rOOl 229 -001 2387-001 2488-001
81 62-004 8445-004 8776-004 91 49-00
3123-001 3208-001 3308-001 3423-001
11middot8-003 11 80-003 121fo-003 12511-003
middot132-001 4223-001 middot332-001 bullbull 457_001
1519-003 1553-003 1593-003 1639-003
6 428-001 6 530-001 6652-001 fo795-001
2 36-003 2 401-003 2 4bull 6-003 2 498-003
0016 0018 0020 0025 0030
1707-001 1855-001 1957-001 2228-001 2513-001
6461-004 6821-004 71 96-00 8191-00 92middot1-00
2599-001 2718-001 28bullbull-001 3181-001 353-001
9557-004 99115-004 1046-003 1170-003 1303-003
3549-001 3686-001 3832-001 bullbull 228-001 658-001
1305-003 1355-003 1middot09-003 1555-003 1713-003
bullbull 597_001 bullbull 749_001 bullbull912-001 5360-001 5852_001
1690-003 176-003 1806-003 1971-003 21 52-003
6955-001 7132-001 732-001 78amp0-001 860-001
2551-003 2 623-003 2 693-003 2 890-003 3111-003
0035 000 005 0050 0060
2809-001 311 3-001 3middot22-001 3735-001 bullbull 371-001
1033-003 11 45-003 1258-003 1373-003 1607-003
3921-001 bullbull 3U-001 bullbull 712-001 5119-001 599-001
1bullbullmiddot2-003 1586-003 1733-003 1882-003 21 88-003
5112-001 558-001 6070-001 6567-001 758-001
1880-003 2053-003 2232-003 2415-003 2789-003
6376-001 6925_001 7bullbull92-001 8074-00l 9270-001
2345-003 2546-003 2755-003 2969-003 3bullbull 09-003
9110-001 9797-001 1051middot000 1125middot000 1279middot000
3350-003 3 602-003 3866-003 4138-003 bullbull r02-003
0070 0080 0090 0100 0120
50t5-001 565-001 6320-001 6 978-001 8301 001
18middot-003 2083-003 232-003 2567-003 305-003
6795-001 7650-001 8513-001 938ii-001 1113-000
2bullbull99-003 2813-003 31 31-003 3bullbullSo-n03 bullbull 095-003
8623 001 9678-001 107middotmiddot000 1182000 1399000
3171-003 3559_003 3951-003 437-003 5146-003
1050000 1175000 1301+000 14ii9000 1688000
3860-003 middot320-003 bullbull 785-003 5256-003 ~206-003
1 437000 1600middot000 1765000 1932+000 2272000
5286-003 SA83-003 6 49 1-003 7106-003 8 35-003
0140 9631-001 35bullbull-003 1289middot000 bullbull 73-003 1618000 5951-003 l9middot1J+000 71 67-003 2615middot000 9middotamp18-003 OlfoO 0180 0200 0250
IOCJ6middot000 1230middot000 136-000 1700middot000
bullbull 036-003 4531-003 5027-003 6277-003
1bullbull6~middot000 16bullbullmiddot000 1822+000 2268middot000
5396-003 6051-003 6709-003 8365-0(13
1838middot000 2059+000 2280middot000 2836middot000
6762-003 7577-003 8395-003 1045-002
2211middot000 2 bullbull75-000 274110011 3 bullbull0middot-000
81 34-003 9107-003 1middot008-002 125middot-002
2962middot000 3310middot000 3661middot000 452+000
)089-0021218-002 347-002 1673-002
0300 0350 0400 0bullbull50 0500
2036000 2373000 270000 3047000 33e-000
7542-003 8827-003 1014-002 1148-002 1287-002
2715+000 3163000 3611middot000 bullbull 060000 bullbull509000
100-002 1113-002 1345-002 1521-002 1701-002
3393000 3952000 bullbull512000 5072000 5632000
1253-002 1bullbull63-002 1676-002 1893-002 2114-002
middot072000 bullbull7410011 5411+000 608ii+000 6754000
1503-002 1753-002 2007-002 2264-002 2526-002
5421middot000 6315+000 7206middot000 8098000 8991middot000
2001-002 2 332-002 2667-002 3005-002 3 348-002
0550 3722middot000 1431-002 959-000 18116-002 6193000 2340-002 7426000 ~793-002 988000 3697-002 0600 0650 0700 0750
bullbull 060-000 4397middot000 4735-000 0073middot000
151lt002 1738-002 1906-002 20116-002
5bullbull08+000 5858middot000 6307middot000 6757middot000
2077-002 2275-002 2bullbull84-002 2705-002
675middot000 7315middot000 7877000 8bullbull39middot000
2512-002 2812-002 3061-002 3323-002
809111000 8771+000 9bullbull4middot000 1012middot001
3066-002 33middot7002 3637002 3940-002
1078-001 1167middot001 1257middot001 136middot001
bullbull 052-002 414-002 bullbull 186-002 IIln-002
0800 0850
5bullbull0000 5748000
2284-002 2510-002
7207middot000 7657000
295-(102 3212-002
9000+000 9562000
360-002 3912-002
1079001 11middot6001
4262002 4611-002
1middot36middot001 1526001
5575 002 6006-002
0900 0900 1000
6086middot000 6424+000 6762000
2775-002 3097_002 3bullbull97-002
8107000 8557000 9007000
3518-002 3881-002 323-002
1012001 1069+001 1125001
4260-002 466-002 517-002
1214001 1281001 138+001
5000-002 546002 5969-002
1615middot001 1705-001 1795+001
6middot77-002 7004-0027 610-002
1100 7bullbull38middot000 66-002 9907000 5554-002 1237001 6460-002 1bullbull83001 7365-002 197-001 9169-002 1200 1300
811middotmiddot0008790000
6501-002 9 bullbull3-002
1081001 117hOOI
7bullbull92-002 1052-001
1350001 1 462001
881-002 1159 001
1618001 1753001
9468-002 1266-001
2153+001 2333001
1144-001 1479-001
1middot00 1500
9466middot000 101middot001
1397-001 207-001
126hOOl 1351+001
1513-001 21 97-001
1575001 1687001
1628-001 2321-001
18811001 2023001
113-001 2bullbullmiddotmiddot-00
2512middot001 2692+001
1 973- 00 2 691-001
Page 106
TABLE 10 (CONTINUED)
It bull 00100 X bull 00150 X bull 00200 X bull O O4ljO X bull Ch0300
p 0514 U4 P OSM U4 POSH U4 POSH U4 P OSM U4 (I() ITORR) IJMOLE) (TORR) (JMOLEI nORR) IJMOLEI (TORR) (JMOLEI (TORR) IJMOLpound)
0000 8845-001 3252-003 1647+000 6056-003 2532+000 Q310-00J 3506+000 1289-002 4545+000 1671-002 0001 8848_001 3254-003 1647+000 1gt057-003 2532+000 9312 003 35060000 189-002 4546 0000 1 67 1-0020002 8811i8-001 3257-003 16480000 1gt061-003 2534+000 9316-003 35080000 1 bull 90-002 4547+000 1672-002 0003 8873-001 3263-003 1650+000 1gt068-003 2535+000 93gt3-003 3510+000 129 1-002 4549000 1 6n-002 00114 A8Q5-001 3271-003 165J+000 6077-003 2531hOOO 9333-003 3513+00u 1292-002 4552000 1674-002
0006 8957-001 3294-003 166U-000 6103-003 2546+000 9362-003 3521-000 1295-002 4561+000 1677-002 0008 q044-001 3325-003 1670+000 61 40-003 2557+000 Q403-003 3533-00U 1 bull 99-002 4574-000 1 682-002 0010 9154-001 3366-003 1683+000 61 87-003 2571-000 9454-003 35480 0011 1305-002 4590-000 1688-002 0012 92A8-001 3lt15-003 1698_000 6244-003 2588+000 9518-003 3567+000 1312-002 4610-000 1 695-002 001 4 Q1I44-001 31172-003 1716+000 6311-003 2 609-000 9592-003 3589_000 l3l0-002 4633+000 1104-002
0016 9621-001 3538-003 1737+000 6387-003 2632-000 9677-003 361 4-000 1329-002 4660-000 1 714-002 00)8 98]8-001 3610-003 1761000 6473-003 2658000 9774-003 364 ii000 1339-002 4691000 1 725-002 0010 1003-000 3689_003 1786+000 6568-003 2687+000 9880-003 3674000 1351-002 4725000 1 737-002 0025 104_000 3913_003 1861+000 6842-003 2772000 1019-002 3767000 1385-002 4824+000 1 77002 0030 11]3000 It167_003 1948+000 71 62-003 2872000 1056-002 3977000 1426-002 4943+000 19 19-002
0035 1209-000 11445-003 204imiddot000 7520-003 2 986+000 1098-001 4005+000 1473-002 508+000 1 869-002 0040 1iiQO+000 4743-003 2151-000 7911-003 3112000 1144-00 4147middot00U 1525-002 5238+000 1926 -0020045 1375000 5056-003 226i+000 8329-003 3248-000 1194-002 4302+000 1582-002 5409-000 1 989-002 0050 1464000 5382-003 238HOOO 8769-003 33911-000 12118-002 4469+000 1643-002 5594-000 2057-0020060 1648+000 6061-003 2639000 9703-003 3706+000 1363-002 483ii+000 1777-002 6001+000 2 207-002
0070 1841+000 6769-003 2908+000 10laquogt9-002 4042+000 1486-002 5227000 1922-002 6 448-000 2 37 1-002 OOM 2039000 7497-003 3187-000 1172-002 4395+000 1616-002 5645000 2076-002 6 927+000 2 547-002 0090 2241+000 8241-003 3476-000 1278-002 4761+000 1751-002 6083000 2237-002 7430-000 2732-002 0100 2446+000 8996-003 3771000 1387-002 5139+000 1890-002 653700U 2404-002 7954+000 2 925-002 0120 2864000 1053-002 4 37i+000 1609-002 5917000 2176-002 7479+000 2750-002 9050+000 3 328-002
0140 32A8~000 ]209-002 4993-000 1836-002 6719+000 2471-002 8455-000 3109-002 10 0 19+00 1 3 148-002 0160 371 7000 1367-002 5621-000 2067-002 7538-000 2772-002 945700U 3478-002 1152+001 4 235-002 Oleo 4149+000 1526_002 6257000 2301-002 8 4 011 +000 3091-002 1050001 3963-002 1260001 4634-002 0200 4584 000 1687-002 6897000 2537-002 9208+000 3387-002 1151001 4233-002 1379+001 5072-002 0250 5679000 2091-002 8516000 31 34-n02 1134_001 4172-002 1414 +001 5 bull 01-002 1amp91001 6219-002
0300 6780000 2499-002 1015001 3737-002 1349-001 4967-002 1680+001 1gt184-002 2008middot001 7 388-002 0350 7886000 2910-002 1179+001 4347-002 1567+001 5770-002 19iO-001 7]80-002 2329001 8 573-002 0 400 8995+000 33l5-002 134-001 496 1-002 1785+001 6581-002 2221-001 81 84-002 2652-001 9 769-0020 450 1011-001 374-002 1510-001 558 0-002 200lt-001 7398-00lt 249+001 91 97-002 2977001 1)98-001 0 500 1122001 41 68-002 1676-001 6205-002 2224+001 8222-002 2767001 1022-001 330001 1 219-001
0550 1233-001 4598-002 1842-001 6836-002 2 445-001 9052-002 304Z+001 1125-001 3632001 1 342-001 0600 1345001 5034_00i 2008 001 7473-002 2 666+001 9 890_002 331 7+001 1228_001 3961_001 1465-0010600 147001 5478-002 2175+001 81 19-002 2887001 1074-001 359Z_001 1333-001 4290-001 1590-001 0700 1568_001 5931-002 2342+001 8775-002 3108001 1159-001 3868_001 1439-001 4620+001 1r15-0010750 1 680+001 6398002 2509 +001 94middot5-002 3330001 1246_001 4144+001 15116-001 4951+001 1 1142-001 0800 1792001 6883-002 267amp-001 1013-001 3552-001 1335-001 4420+001 1(55-001 52111 +001 1 971 -001 0850 1914+001 7396-002 2843001 1085-001 3774+001 14n-001 4697+001 1767middot001 5613+001 2middot103-0010900 2015+001 7948-002 3010+001 1160-001 3996+001 1523-001 4974-001 1883-001 5944+001 ZZ39-001 0950 2127001 8557-002 3177+001 12112-001 4218001 1625-00] 5251+001 Cl004-001 6276-001 2 38 1-001 1000 2239 -001 92115-002 3344-001 1331-001 41141001 1734-001 5528-001 21 34-001 6608+001 2 531-001
1100 2463+001 1097-001 3679+001 1511 11-1101 4885+001 1987-001 6083001 2428-001 7272001 2 865-001 1200 26A7+001 1340001 401 4 001 1828-001 5331+001 2312-001 6638_001 2793-001 7937-001 3 27 0-001 1300 2911_001 1692_001 4349+001 2220-001 5776+001 2745-001 7194+001 3266-001 8603001 3 r84-0011400 3135001 2202-001 4684+001 2771-001 6222001 3337-001 7750+001 3899-001 9269001 4 1157-001 1500 339+001 2936001 501 9 001 3546-001 6667_001 4152-001 8306+001 11755-001 9935-001 5 354-001
Page 107
TABLf 10 (CONTINUED)
)I bull 00350 X bull 00400 X bull 00450 ~ bull 00500 X 0O5gt0
T P OM U4 POSH U4 P OSM U4 P OS U4 P OSM U4 (K) (TORRI CJMOLE) CTORRl IJMOLE) nOAA) (JMOLE) (TOAA) (JMOLEI (TORA) IJMOLEI
0000 0001
1]631+000 5631+000
2070 002 2071-002
6748+000 6749+000
2481-002 2482-002
7885+000 78116+000
2899-002 2900-002
9031+000 9034000
3321-002 3321-002
101 1hOOl 101A001
3 742- OO 3 73-002
0002 0On3 0004
5633000 563150000 5 618000
2071-002 2072_002 2073-002
6750000 6753+000 6756000
2482-002 2483-002 2484-002
7887000 7890+000 7894000
2900-002 2901-002 2902-002
90340011 90360011 9040+000
3322-002 3323002 3324-002
101Smiddot001 1018+001 1019001
3 743-002 3744- 002 3146-002
0006 5648000 2077-002 6766+000 2488-002 7904+000 2906-002 9051000 3328-002 1020+001 3 750-002 0008 0middot010 0012
56amp1+000 678+000 5699+000
2082-002 2088-002 2096-002
6780+000 6798+000 6820+000
2493-002 2500-002 2508-002
7918000 7937+000 7960+000
2912-002 2 9111-002 2927-002
9066 +000 9085 +000 9109+000
3333-002 3341-002 3349-002
1021+001 1middot023001 1026+001
3155-002 3763-002 3 772- 002
0014 7 4+000 2105-002 6846+000 2517-002 7987+000 2937-002 9137+000 3360-002 10029+001 3 782-002
0016 Oots 0020 0025 0030
5752000 5784+000 5 820+000 5 926000 6003+000
2115-002 2127-002 2140-002 2179-002 2226-002
6876+000 6909+000 6947+000 7058+000 7192+000
252R-002 2541-002 c554-002 2595-002 264-002
8018+000 8053000 8092+000 8Z08+000 8348000
29411-002 291-002 2976-002 30111-002 3070-002
9169000 9206000 924600U 9366000 951200U
3HI-002 3385-002 3400-002 3444-002 3498-002
1032+001 1036001 1040001 1052middot001 1068+001
3795-002 3809-002 10 11 24-002 3870-00~ 31i25-002
0035 6201000 2280-002 7348000 2702-002 8512+000 3130-002 9684+000 3061-002 1085001 399 1-002 0040 0045 0050
6368000 504+000 6755+000
2342-002 2410-002 2484-002
7526+000 772000 7940000
2767-002 2840-002 2919-002
8699+000 8908000 9137000
3199-002 327S-002 3360-002
98711+0011 1010001 1034+001
3633-002 3713-002 31101-002
1106001 11211+001 1154+001
4066-002 4149-002 4442-002
0060 7201+000 2648-002 8420000 3096-002 9649+000 354111-002 1088+001 4000-002 1210001 4450-002
0070 0090 0090 0100 0120
7695+000 9227+000 A792middot000 93R2+000 1062+001
2829-002 3025_002 3233-002 3450-002 3906-002
8956+000 9539000 1016+001 1081+001 121 9+001
3293-002 3507-002 3736-002 3975-002 4482-002
1022+001 1085001 1152001 1223001 1374001
3759-002 3990-002 4~3~-002 4498-002 5053-002
1149+001 1216+01)1 1288001 1365001 152t1+001
4225-002 4411-002 4731-002 5017-002 5~17-002
1275001 1346001 122middot001 1504001 1679+001
4 687-002 4 948-002 5 230-002 5530-002 6174-002
0140 11112+001 4385-002 1365001 5018-002 1534+001 5642-002 1702001 6257-002 1866001 61162-002 0160 0180
1339+001 1468 +001
4923-002 5397-002
1527001 1673+001
5615-002 6151-002
1112001 1875+001
6297-002 6894-002
1895001 2073001
61168-002 7625-002
2074001 2268+001
7626-002 amp341-002
0200 1605+001 5903-002 1828001 6723-002 2048+001 7530-002 2263+001 8322-002 2474001 9099-002 0250 1964001 7225-002 2234+001 8216-002 2499+001 9191-00lt 2759001 1015-001 3015001 1109-001
0300 0350
2331+001 2702001
8576-002 9947-002
2649001 3071+001
9746-002 11 30-001
2962001 3 434+001
1090-001 1264-001
3270001 3791+001
1203-001 1395-001
3573001 4142001
1 314-001 1l24-001
0400 0450
3078+001 3455001
133-0011273-001
3498+001 3927+001
1289-001 1447-001
3911+001 4393001
1441)-0011618-001
4319+001 4851+001
1590-001 1787-001
4720001 5303+001
1131-001 1 953-001
0500 3835001 1414-001 4359001 1607-001 4877+001 1797-001 53870001 1985-001 5891001 2 17 0-001
0550 4216+001 1556-001 4793+001 1769-001 5363+001 1979-001 5926001 2185-001 6482+001 2390-001 0600 4598+001 1700-001 5229+001 1931-001 5852+001 2161-001 64611+001 2387-001 7076+001 2 611-001 0650 0700
4991+001 5365001
1844-001 1989-001
5665001 6103+001
2095-001 2260-001
6342+001 6833+001
2344-001 2529-001
7011+001 7556001
2590-001 2795-001
7672001 A270middot001
2 833-001 3 057- 001
0750 5750001 2136-001 6541+001 2427-001 7325+001 2716-001 8102001 3001-001 9870001 hil93-001
0800 6135001 2285-001 6980+001 2596-001 7818+001 2904-001 8649001 3210-001 9471001 3512-001 0850 6520+001 2437-001 7420+001 2768-001 8312+001 3096-001 9196+001 3421-001 1007+002 343-001 0900 0950
6906+001 7292001
2593-001 2755_001
7860+001 8301+001
2944-001 31 26-001
8807+001 9302+001
3292-001 3494-001
9745+001 1029+002
337-001 3859-001
1068+002 1128002
3 979-001 4 22 1-001
1000 7679001 2925-001 8742+001 3316-001 9797+001 3704-001 1084002 4089-001 119900C 4471-001
1100 8453+001 3299-001 9625001 3730-001 1079+002 4158-001 1195002 4584-001 1309+002 5 006-00 1200 92t7+OOl 3745-001 1051+002 4216-001 1178+002 4685-001 1305002 5150001 1431002 5612-001 1300 1000+002 4299-001 1139+002 4811-001 1278+002 5320 001 1415002 5A25-001 1552002 63211-001 1400 1500
1078+002 1155002
5012-001 5949-001
1228+002 1317002
5564-001 6542-001
1377+002 1477+002
6114-001 732-001
1526+002 1637+002
6660-00 7718-001
1674+002 1795002
7 Z03-00 8 302-001
Page 108
TlBLE 10 (CONTINUED)
)( 00600 )( 00640 )( 00650 X bull 00700 X bull 00750
P OSM U4 P OSM U4 P OSM U4 P OSM U4 P 05104 U4 IK) tTOqR) (JMOLE) (TORR) (JMOLE) ClORR) (JMnLE) (TORR) (JMOLE) (TORR) tJMnL[)
0000 1132001 4161-002 1222001 4492-002 1244001 4574-00i 1354 001 4980-002 1462001 5 376- 002 0001 1132001 4161-002 1222001 4492-012 1244001 4575-00i 1354001 4980-002 1462001 5 376-002 0002 1132001 4162-002 1220001 4493-002 1244001 457S_002 1355001 4981-002 1 462001 5377-002 0003 1132001 4163-002 1222001 4494-002 1245001 4576-002 135S001 4982-002 1463middot001 5378-002 0004 1133001 4164-002 1223001 4496-002 1245001 4578-002 135S001 4q84-002 1463middot001 5380-002
0006 1134001 4169-002 1224001 4500-002 1246001 4582-002 1357001 4Q88-002 1 464001 5384-002 0008 1135001 41 75-002 1225001 4506-002 1248001 4088-002 1358001 4994-002 1466001 5 391-002 0010 1137 001 41 82-002 1228001 4514-002 1250001 4591gt-002 1360001 Sn02-002 1468001 5 399-002 001 2 1middot140001 41 9 1-002 1230001 4023-002 1253001 4606-002 1363001 5012-002 1471001 5+09-002 001 4 1143001 4202-002 1233001 4534-002 1256001 4617-002 1366001 S1)24-002 1 474001 5+21-002
0016 1146001 4215-002 1237001 4547-002 1259001 41gt30-002 1370001 5037-002 1478001 5434-002 001 8 1100001 4229-002 124hOOI 4562-002 1263001 4645-002 1374001 50S2-002 1 482001 5 450-002 0020 11S5001 4245-002 1245001 4578-002 1268001 4661-002 1379001 5069-002 1487001 5 467-002 0025 1167001 4293-002 1258001 4627-01)2 1281001 4710-002 1392001 5119-002 1501001 5 518-002 0030 111l13001 4350-002 1274001 4686-002 1297001 4769-002 1 409001 5180-002 151$001 558-002
0035 1201001 4418-002 1293001 4755-002 1316001 4839-002 1428001 S252-002 10538001 5 b55-002 0040 10222001 4495-002 1315001 4834-002 1338+001 4919-002 1451+001 5334-002 1561001 5 139-00shy0045 1246001 4582-002 1339001 4924-002 1362001 5008-002 1476001 5427-002 1587001 5middot M34-OO2 0050 1272001 4678-002 1366001 5023-002 1389001 5lOR-002 1504001 5529-002 1616001 5 94 0-002 0060 131001 4895-002 1427001 5247-002 1 451001 5334-002 1567001 5763-002 1681001 6 181-002
0070 1399001 5144-002 1497+001 5503-002 1S21001 5592-002 1640001 6031-002 1757001 6 459- 002 OOlllO 1474001 5418-002 1574001 5788-002 1599001 S880-002 1722001 6331-002 1841+001 6 770-002 0090 15155001 5716-002 1658+001 6098-002 1684+001 6192-002 1811001 o~58-g02 1934001 7110002 0100 1641+001 6033-002 1748001 6429-002 1175001 6527-00~ 1906+001 1008-002 2033middot001 7476-002 0120 18gt7+001 6720-002 1944001 71 47-002 1972+001 7252-002 211 4 001 7771-002 2251001 8 275-002
0140 2027001 7454-002 2153001 7918-002 2184001 8032-002 2338+001 8595-002 2486001 9 141-002 0160 2249+001 8271-002 2386001 8715-002 2~20middotOOI 8900-002 2587+001 9511-002 2148001 1011-001 0180 2459001 9042-002 2608+001 9590-002 2645001 9725-002 21126001 1039-001 3001001 1104-001 0200 26111001 9859-002 2843001 10~5-001 2 883001 1060-001 3079 001 11 32-001 3270001 1 202-001 0250 32t-5middot001 1201-001 3461+001 1273-001 3509+001 1291-001 3747001 1378-001 3979001 1 463- 001
0300 3869001 1423-001 4101001 1509-001 4159+001 1530-001 4442001 1634-001 4718001 1 735-001 0350 4486+001 1651-001 4757+001 1750-001 4824001 1775-001 515f)001 18lt16-001 5478001 2 015-001 0400 514001 1882_001 5424001 1996-001 5500001 2024-001 5880001 2164-001 6252001 2301-001 0450 5748001 2116-001 6098001 2245-001 6185001 2277-001 661 5001 2435_001 7037001 2 590-001 0500 6381001 2353-001 6778001 2497-001 6875001 2532-001 7356+001 2709-001 7829001 2883-001
0550 7030001 2591-001 7463+001 2750-001 7571001 2190-001 8103+001 2986-001 8627001 3178-001 0600 7677001 2832-001 8150+001 3006-001 8270001 3049-001 8854 001 3264-001 Q431+001 3476-001 0 650 11326001 3014-001 8843001 3264-001 8972001 3311-001 9609+001 3545-001 1middot024+002 3 777-001 0700 8977+001 331-001 9537001 3523-001 9676+001 3S74-001 10037002 3R28-001 1middot105002 4079-001 0750 9630001 3563-001 1023002 3785-001 1038+002 3840-001 1113+002 4111-001 1186002 4384-001
0800 1028+002 3811-001 1093002 4049-001 1109002 410B-001 1189002 4401-001 1268+002 4 69 1-001 0850 1094+002 4063-001 1163+002 4316-001 1180002 4379-001 1265002 4692-001 1350+002 5002-001 0900 1110+002 4318-001 1233+002 4581-001 1251+002 4654-001 1342002 4987-001 1432+002 5 317-001 0950 1226002 4580-001 1303+002 4865-001 1322+002 4936-001 1418002 5289001 1514002 5639-001 1000 1291002 4850-001 1373002 51 51-001 1394002 5226-001 1495002 5599-001 1596+002 5 969-001
1100 14raquo3+002 5425-001 151 4002 5758-001 1537002 5841-001 1649002 6255-001 1761002 6 665-001 1400 1506+002 6072-001 1655002 6431-001 1680002 6529-001 1803+002 6q82-001 1 926+002 7 433-001 1300 1688002 6828-001 1196+002 7226-001 1823002 7325-001 1958002 7B1 9-OO1 2091002 8 310-001 1400 1821+002 7743-001 1938002 81 74-001 1967middot002 8281-001 2112middot002 eH600 2257002 9 348-001 1500 1953002 8883-001 2019+002 9346-001 2111+002 9461-001 0267002 1004+000 2423002 1061+000
Page 109
TABLE 10 (CONTINUEO)
X 00800 X 00900 X 01000 X 01100 X 01200
p OS U4 P OS U4 P OSM U4 P OSM U4 P OSM U4 (K) (TORR) (JMOLE) (TORR) (JMOLE) (TORR) (JMOLEI (TORR) IJOLE) ltTORR) IJMOLE)
0000 1567middot001 5760middot002 1764 +001 6487-002 1944+001 7147-002 2102+001 7730-002 2237middot001 8 224-002 0001 1567+001 5760-002 1761H 001 6487-002 1944+001 7147-002 2103001 7730-002 2237middot001 8225-002 0002 1567+001 5761-002 1765+001 6488-002 1944middot001 714~-002 2103-001 7731-002 2237-001 8 226-002 0003 t567middot001 5762-002 176)middot001 64 89-002 1 945-001 7149-002 2103_001 7732-002 2238-001 8 227-002 0004 1568_001 5764_002 1765-001 6491-002 1 945001 7151-002 2104001 7734-002 2238-001 8 229-002
0006 1569middot001 5769-002 1767middot001 6496-002 1 946001 7156-002 2105-001 7 39-002 2240-001 8 234-002 0008 1571001 5775-002 1769001 6502-002 1948001 7163-002 2107-001 7746-002 2242-001 emiddot 242-0020010 1573-001 5784-002 1771-001 6511-002 1951-001 7172-002 2110-001 7756-002 2245-001 8252-002 0012 1 576001 5794-002 1774middot001 6522-002 1 954001 7183-002 211 3-001 7767-002 2248001 8e63-002 0014 1579001 5806-002 1777001 6535-002 1 957-001 7197-002 211 6 001 7781-002 2e52-001 8e78-002
0016 151l001 58eO-002 1781001 6549-002 1962001 7212-002 2121-001 7797-002 2256middot001 8294-002 001 8 1597001 5836-002 1786001 6566-002 1966001 7229-002 2126+001 7fl15-002 2261-001 8 312-002 0020 1592-001 5854-002 1791-001 )584-002 1971-001 7248-002 213hOOl 7e35-002 2267+001 e333-002 0025 1606+001 5906-002 1806middot001 6639-002 1987+001 7305-002 21 47 001 7894-002 2283-001 8394-002 0030 1604-001 5970-002 1824-001 )706-002 2006-001 7375-002 2167+001 7966-002 2304-001 8 468-002
0035 1644001 6045-002 1845middot001 6785-002 2028-001 7457-002 2190-001 8051-002 2328-001 8 557-002 0040 161110001 6132-002 1870-001 6876-002 2054001 7552-002 221 7-001 81 49-002 2357-001 8 667-0020045 1694001 6230-002 1898-001 697-002 2083-001 7658-002 2247_001 8260-002 2387001 8774-002 0050 1774001 6339-002 1929001 7092-002 2115-001 7777-002 22810001 8384-002 2 421-001 8 901-002 0060 1791-001 6587-002 2000-001 73 53-002 2190-001 11051-002 2358-001 8668-002 2501-001 195-002
0070 1869-001 6873-002 2082001 7656-002 2276001 8369-002 2448_001 9001-002 2595001 9 541-002 OOAO 1907001 7195-002 2175-001 7998-002 2374_001 87lt9-002 2551001 9378-002 2702-001 9 935-002 0090 2053_001 7548_002 2277-001 8374-002 2484001 9131-002 2666001 9flOO-002 2822-001 1038-001 0100 2116-001 7928-002 2389+001 8783-002 2 600-001 9561-002 2789-001 1025-001 2951+001 1085-001 0120 gt3R30001 8762-002 2633001 9682-002 2861+001 1052-001 3065001 1127-001 3243-001 1192-001
0140 2630001 9669-002 2901-001 1067-001 3149001 11M-001 3372+001 1gt40-001 3S67-001 i31l-001 0160 2904001 1068-001 3200001 11 77-001 3 471001 1276-001 3716001 1366-001 3931middot001 1445-001 OlRO 311-001 1166-001 3494001 1285-001 3790001 1394-001 4059_001 1492-001 bullbull298-001 1580-001 0200 3455-001 1270-001 3806-001 1399-001 4130001 1519-001 4426001 1627-001 4691middot001 1 12C-0010250 42r15middot001 15lt6-001 4635+001 1704-001 5036-001 1852-001 5 1 4060ll1 1988-1ll1 5744-001 2112-001
0300 4988001 1835001 5505middot001 2025-001 5991001 2203-001 6445+001 2370-001 86001 ~524-001 0350 5794001 2131-001 6403001 2355-001 6980001 2567-001 7523_001 2761-001 8030001 ~953-001 0400 6616001 2434-001 7321001 2694-001 7993001 2940-001 8629001 374-001 9230middot001 3 395-001 0450 7451001 2742-001 8254001 3037-001 9023-001 3320-001 9757001 3590-001 1045+002 3846- 0010500 8294001 3054-001 9198001 3386-001 1007002 3706-001 1090002 4012-001 1170002 4304-001
0550 9144001 3368middot001 1015-002 3738-001 1112002 4095-001 1206002 4439-001 1295002 4769-001 0600 9999+001 3685-001 1111-002 4094-001 1219002 4489-001 1322002 4870-001 1422middot002 5 238-001 0650 1086002 4005-001 1207002 4452-001 1326+002 4886-001 1440002 5306-001 1550002 5712-001 0700 1172002 4327-001 130bullbull 002 4813-001 1 433002 528~-001 1558_002 5744-001 1679002 6 189- 001 0750 121119002 4651-001 1402-002 51 76-001 1541+002 5688-001 1677002 61 81-001 10809002 6 671-001
0800 1346002 4978-001 1500002 5543-001 1650+002 6094-001 1796002 6632-001 1939-002 7156-001 0850 1433middot002 5309-001 1598+002 5913-001 1758-002 6504-001 1916002 7082-001 2069-002 7046-001 0900 1510002 5644-001 1696002 6288-001 1867002 6920-001 2036002 7538-001 2200002 S142-001 0950 1608002 5986-001 1794 002 6670-001 1977002 7342-001 2156002 8000-001 2331middot002 8 644-001 1000 1696002 6336-001 1893002 7060-001 2086002 7772-001 2276002 8470-001 2463002 9155-001
1100 1871002 7072-001 2091002 7877-001 2306002 8670-001 2518002 9450-001 2727002 1 022000 1200 2048+002 7881-001 2289-002 8767-001 2527002 9641-001 2761+002 1050000 2992002 1135000 1300 2224-002 8799-001 2487-002 9767-001 2747002 1072-000 3004 -002 1167-000 3258002 1260+000 1400 2401-002 9877 001 2686+002 1093-000 2969002 119000 324amp-002 1299-000 3524+002 1 400-000 1500 2578002 1118-000 21186+002 1231+000 3190-002 1343-000 3492_002 1454-000 3791-002 1564-000
Page 110
TABLE 10 (CONTINUED)
)( 01300 )( 01400 X bull 0middot1500 X bull 01600 X bull 01 800
P 0gt U4 P OS U4 P OS U4 P OSM U4 P OSM U4 (K) (TO~RI (JMOLE) (TORR) (JOLE) nORR) (JOLEI (TORR) (JMOLEI (TORR) tJOLE)
0300 7248001 2665-001 7594+001 2792-001 7902001 2905-001 8170+001 1003-001 8578001 3 152-001 0350 0 400
13501+001 9792001
3126-001 3601-001
8933001 1032002
3285-001 3794001
9 1 326+0111 1080+002
34ZQ-QU3971001
9677+QQl 1124002
3558-gU 41 33-001
1025002 1middot199+002
3 768-001 4 408-001
0450 1111002 408B-001 1173002 4315-001 1231002 4527-001 1284+002 47Z3-001 1318middot002 5061-001 0500 1245002 458Z-001 1317+002 4846-001 13a5+00z 5094-001 1448+002 53Z6-001 1middot56100Z 541-001
0550 13111+002 5084001 1463+00Z 5384-001 1541002 5669-001 161 4 002 5938-001 1747middot00Z 4Z7-001 0600 1519002 5591-001 161100Z 59Z9-001 1 699+00Z 6Z52-001 1782+002 6559-001 1936+002 71Z3-001 0650 0700 0750
1657+002 1796002 191700Z
6103_001 66Z0-001 71 41-001
1760+002 1910+00Z 2060middot00Z
6480-001 70 36-001 7596-001
1858+002 Z019+00Z Z180002
6841-001 7436-001 8035-001
195c002 2123+00Z Z29b00Z
71 87-001 7AZO-001 8459-001
21Z7+00Z Z319+002 251300Z
7 8Z7-OO1 8 539-001 9 258-001
0800 207700Z 7666-001 2Z1Z+00Z 81 61-001 Z343+00Z 8640-001 Z469002 9104-001 2709+00Z 9 982-001 0850 0 900 0950 1000
ZZ19+00Z 2361002 Z503+00Z 2646+002
8196-001 8731-001 9Z74-001 98Z6-001
2364middot00Z 2S17+00Z 2671+002 2824+002
8731-001 9307-001 9890-001 1048+000
Z506+002 Z670+00Z Z834+00Z 2999+002
9250-001 9867-001 1049+000 1112+000
264300Z Z91 8+00Z 2994+00Z 370middot00Z
9754-001 1041000 1108+000 11 75000
2 90Smiddot00Z 310Z+00Z 3300middot00Z 3499+002
1071000 1145+00( 1middot 2Z 0+ 000 1 296 000
1100 2932+00Z 1097+000 3133middot00Z 11 71middotOno 333000Z 1243+000 35Z4002 1314000 38911middot00Z 1 452 +000 1200 3Z19middot00Z 1219000 344002 1301+000 3 b63+00Z 1382+000 387900Z 1461+000 4300+00Z 1 61lmiddot000 1300 1400
3511+002 379600Z
135Z000 1501+000
375400Z 4066 +002
14Z000 1599+000
399700Z 4331+00Z
1531+00n 1697+000
4236+002 4594+00Z
1619+000 1793+000
4702+002 S107+00i
1 790 000 1 98 1000
1500 4086+002 1672000 4378002 1779+000 4667002 1885+000 4952002 1990000 551Z+002 2 195000
TABLE 10 (CONTINUED)
)( 02000 X nZ250 X 02500 X 0Z7SO X bull 03000
p OS U4 P OSM U4 P OS U4 P OS U4 P OS U4 (K) (TORRI (JMOLE) (TORRI eJMOLE) (TORR) (JMOLEI eTORR) (JMOLE) (TORRI IJOLEl
0300 8807001 3236-001 88Z1+001 3240-001 8510001 3124-001 7f4b+001 2878-001 6801+001 2 493-001 0350 1064middot002 3910-001 108~+00Z 3987-001 1074middot00Z 394Z-001 1026+002 3766-001 9409+001 3449-001 0400 0450 0500
IZII)6+00Z1453+00Z 16-6+00Z
4614-001 5341-001 6086-001
1Z98middot00Z 1519+00Z 1746+00Z
4770-001 5581-001 6414-001
1308+002 155Z+00Z 18Z+QQZ
4803-001 5697-001 ~618-QOl
IZ82+002 1548+00Z 18Z3+00Z
4704-001 5681-001 690-001
1217+00Z 1506+00Z 1805002
4464-001 55Z3-001 6 619-001
0550 18I)Z+002 6846-001 1977-002 7Z65-001 Z058+00Z 7561-001 Z104+002 7724-001 2111+002 145-001 0600 0650 0700 0750
Z071+00Z 2Z113+00Z 2491-00Z Z713+00Z
7617-001 8399~001 9189-001 9987-001
Z212+002 Z450-002 Z691+00Z 2934+00Z
81 31-001 9009-001 9898-001 1080000
Z319+002 25114+00Z Z85Z+002 3123+002
8521-001 9496-001 1048+000 1148+000
Z391+002 Z683_00Z Z978+002 3Z7600Z
8779-001 9-51001 1094+000 1204000
Z425middot00Z Z743+002 3066+00Z 3393+002
11895-001 1 007 -000 1 1Z5 +OOO 1246+000
0800 0850 0900 0950 1000
29~0middot00Z 3148+00Z 3368+00Z 3589+002 3810middot00Z
1079+001) 1161+000 1243-000 13Z6-000 1410-000
3179002 34Z6+002 3674+002 3923+00Z 4173+00Z
1110000 IZ6Z+000 1354 +000 1449+000 1543+000
3396+00Z 3 671+00Z 3948+00Z 42Z6+002 4505+00Z
1Z49000 13H+000 1454+000 1558+000 1664+000
3571hOOZ 388200Z 4188_00Z 4495+00Z 4805+002
1315000 1428+000 1541000 1656 +000 1772+000
37Z3+00Z 4056-00Z 439Z+00 41 47Z9+002 5069+00Z
1 368000 1 49 1+000 1 615000 1 74 1+000 10 868+000
1100 4256+002 158Z+000 4677+00Z 1736+000 5068+002 1879+000 54Z8+00Z Z010000 0753+00Z ZIZ8+000 IZ00 1300 1400
4703+002 5153+002 5605+00Z
1763+000 1955+000 Z164000
5184-002 5693+002 6Z0 4+00Z
1939+000 ZI12middotOQO Z383+000
5635+00Z 6Z04+00Z 6776+00Z
Z103+000 Z339+000 Z592-000
6055+00Z 6686_002 7320middot00Z
Z256-000 ZSI5+000 Z790+000
6 443middot00Z 7137+00Z 7834+00Z
2 396 +000 2middot b78 +000 Z976+000
1500 605 7 -002 2395+000 6717+002 Z637+000 7351+00Z Z86+000 7957+002 3089+000 8535+002 3 Z98 -0OO
Page 111
TABLE 11
THE SPECIFIC HEAT 0 THE TOTAL HE3 - HE4 ~OLUTION
C IJMOLE-I()
TX 01001 00002 00005 00010 00020 00030 00040 00050 00060 00080
(I()
0000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 0002 0003
6509-004 949_004 1066_003
8928_004 1516_003 1853_003
1254_003 2402_003 3316_003
1593-003 3139_003 4514-003
2016_003 4010_003 5956_003
2314-003 4613_003 6882_003
255it_003 5094_003 1112-003
215-003 S50_003 8 I29-003
2933-003 5858_003 8168_003
3239-003 Amiddot12-003 9 693-003
0004 1124-003 2040-003 3910_003 5828_003 1821-003 9101_003 1010-002 093-002 1166_002 i290-002
0006 1171-003 2221-003 4180-003 1103-003 1115-002 13l9-002 1489_002 1620-002 113l-002 1 923-002 0middot008 lol01-003 2middot315-003 5l1 4-003 8924-003 1382-002 1100-002 1932-00l 2119-002 2217-002 2 54 1-002 OOlO 0012 0014
124-003 t 222-003 12l1-003
2middot364-003 2394-003 2middot414middot003
5413-003 5640-003 5155-003
9121-003 1028-002 1067-00l
1586-002 1141-002 1860-00l
2010-002 2263-002 2468-002
2327-002 2666-002 2951-002
pS18-002 li990-00l 3349-00l
2790-002 3259-002 3683-002
~136-002 3middot 699- OO 4224-002
0016 0018 0020 0Ol5 0030
1231-003 1234-003 1236_003 240-003 1243_003
2429-003 2439_003 2447_003 2461-003 2470-003
5838-003 5899_003 5941_003 6021_003 6071-003
1091-002 1119-002 1136-002 11 66-002 1185-002
1952-002 20l4-002 20U-00l 2187-002 2255_002
2635-002 2171-00l 2883_002 3088-00l 3226_002
31 92-002 3395 _O0l 3560_002 3888_002 4l09_00l
110 6511-002 3926-002 4156-002 603-002 4917-002
4056-002 4384-002 4612-002 5245-002 5659-002
4 (07-00l 5145-002 5 538-002 6353-002 6 913-002
0035 1245-003 2477-003 6111-003 11 97-002 2301-002 3321-00l 4I68-002 51 46-002 5965-002 447-002 0040 1248-003 2483-003 6136-003 1206-002 2334-002 3392-002 4385-002 5319-002 6198-002 7814-002 0045 0050
1251-003 1254-003
2487-003 2492-003
6155-003 6170-003
121]-002 1218-002
2359-002 l379-002
3445-002 3486-002
4414-002 4~43-002
545 t-002 554-002
6319-002 6523-002
8104-002 bullbull l38-002
0060 1262-003 2503-003 6196-003 1226-002 2406-002 3545-002 4644-002 5706-002 6133-002 8687-002
0010 1273-003 2515-003 6218-003 1232-002 2426-002 3586-002 471 4-002 911-002 6818-002 8929-002 0080 0090
1287-003 1305-003
2530-003 2549_003
6240-003 6264-003
1236-002 1241-002
2440-002 2451-002
3615-00~ 3637-002
4763_002 4S01-002
5886-002 lJ9 43-002
6983-002 7063-002
9 107-002 9 24 1-002
0100 0120
1328-003 13S1-003
2572_003 2632_003
6291-003 6356_00 3
1245-002 1253-002
2460_002 2476_002
3655_002 3683-002
411131-002 4875_002
5987-002 6053-002
1125-002 7215-002
346-002 9 498-002
0140 1471-003 2716-003 6444-003 1263-00l 2 491-002 3106-002 4910-002 Cmiddot101-002 7280-002 605-002 0160 0180 0200 0250
1middot581-003 17~3-003 1900-003 2523-003
2827-003 2969-003 3146-003 3710-003
6557-003 6101-003 6879-003 7505-003
1215-002 1290-002 1309-002 1372-002
2507-002 2524-002 2544-002 2 611-002
3128-002 3749-002 3773-002 3844-002
4939-002 4966-002 4994-002 5073-002
61 40-002 70331-002 615-002 7315-002 ~208-002 1415-002 6196-002 1514-002
9middot85-002 9 751-002 808-00l 9 935-002
0300 3453-003 4699-003 8435-003 1465-002 2106-002 3943-002 5176_002 6404-002 7629-002 1 007-001 0350 0400
4150-003 6415-003
5996-003 1122-003
9733-003 1146-002
1595-002 1168-002
2831-002 30ll-002
4076-002 4251-002
5311-002 548ti_002
6544-002 6723-002
7713-002 1955-002
t022-001 1 041-001
0450 8691-003 9931-003 1367-002 1990-002 3233-002 4474-002 5712_002 6949-002 8183-002 1065-001 0500 1146-002 1210-002 1644-002 2266-002 3510-002 4751-002 5991_002 7228-002 8464_002 1093-001
0550 14114-002 1608-002 1982-002 2604-002 3848-002 50At-002 632-002 715611-002 8804-002 i127-001 0600 0650 0100 0750
1898-002 2563-002 3694-002 5612-002
l022-00l 2688-002 3819-002 5736-002
2396-002 3061-002 4192-002 6109-002
3018-002 3683-002 4813-002 6729-002
4261-002 4 926-002 6055-002 7969-002
5503-002 6167-002 7296-002 9208-002
6743-002 1407-002 8535-002 1045-001
7982-002 86411)-002 9714-002 11611-001
9220-002 9884-002 10101-001 10 292-00 1
1169-001 1236-001 348-001 1539-001
0800 8718-002 8842-002 9214-002 9833-002 1107-001 1231-001 1354-001 1418-001 1601-001 1847- 001 0850 0900 0950
10346-001 2031-001 2970-001
1359_001 2043_001 l982001
1396-001 2080-001 3019-001
1457-001 21 41-001 3080-001
1581001 2264_001 3201-001
1704-001 2387-001 33l3-001
1e21-OO1 2509-001 3444_001
195 0-001 2631-001 3566-001
l073-001 2754-001 3687-001
2 318-001 2 998-001 3930-001
1000 4203-001 42lS-00l 4252-001 4312-001 4432-001 4553-001 4173_001 193-001 4913-001 5153-001
1100 7106-001 7718-001 7153-001 7812-001 1929-001 8046-001 8162-001 8middot279-001 8396-001 8 629-001 1200 1292+000 1293+000 1296+000 1302+000 1313+000 1324+000 1335000 1346+000 1357+000 1380+000 10300 1400
2046+000 3115+000
2047middot000 3116+000
2050+000 3119+000
2055+000 3124+000
2066000 3133middot000
2076+000 3142+000
2087+000 3152000
raquo097+000 31 61000
2107+000 3170+000
2 128+000 3189+000
1500 41532+000 4533middot000 4535middot000 4539+000 4541+000 4555+000 4063+000 4middot11+000 4579+000 4595+000
Page 112
TAIR 11 (CONTINuEDI
C (JOLE-IltI
011100 00130 00200 00250 00300 00350 00400 00450 00500 00550T~ 110
0000 0000middot000 II 000000 00011middot000 0000middot000 0000middot000 0000middot000 0000000 0middot000middot000 0000000 0000middot000 0001 3~00middot003 4035003 4410003 484 3003 5115-003 5415-003 515-003 1009-003 6250-003 6471-003 0002 69CJ5003 8067_003 8937003 9685003 1035_002 1095_002 11 511-002 1202-002 1250_002 1295-002 0003 1048-002 209_002 1340-002 1452-002 1552002 1642-002 112S_002 11102-002 1814-002 1943- 002 0004 13CJ5_002 1611_002 1186_002 1935002 2068_002 2189_002 2299002 2402_002 2499_002 2 590-002
0006 2084-062 2410-002 2614-002 2899-002 3099-002 3280-002 3441-002 3601002 3746-002 3 1t83-002 0008 2160-002 202-002 3556-002 3858-002 4126-002 43611-002 4591 -002 41 91-002 4991-002 5114-002 0010 3419-002 30982-002 4430-002 4811-002 5148-002 5452-002 5131-002 5990-002 6233-002 emiddot461-002 0012 4054-002 4148-002 5294-002 5156-002 6163-002 6529-002 6866-002 11111-002 1410-002 1745-002 0014 4659-002 5495-002 6144_002 6690-002 7169-002 7600-002 7994_002 8360-002 8702-002 025-002
0016 52lt6-002 6219-002 6918_002 1611-002 8165-002 8661-002 9115-002 953-002 9928002 1 030-001 0018 5156-002 915-002 1792-002 8517-002 9148middot002 9112-002 1023-001 1070-001 1115-001 1middot157-001 0020 6243-002 1518_002 8582_002 9405-002 1012-001 1015-001 11 33_001 1 86-001 1236001 1282-001 0025 72111-002 9085-002 1043-001 11 53-001 1246middot001 1328-001 140J-001 1471-001 1534-001 1593-001 0030 8102-002 1036-001 1209-001 1348-001 1 466_001 1569_001 1662_001 1146-001 1824-001 1 891-001
0035 a150-002 11 42-001 1352-001 1524-001 1668-001 1795-001 1908-001 2middot010-001 2104-001 2191-001 0040 9264-002 IUI-00l 1416-001 1619-001 1853-001 2004-001 237-001 2259-001 2311-001 2 4 14-001 0045 9616-002 1305-001 1582-001 1816-001 2017-001 2194-001 2]51-001 2 0493-001 2623-001 2 143-001 0050 1001-001 1middot361-001 1614-001 1936-001 2164-001 2366-001 2541 -001 2710-001 2860-001 2 997-001 0060 1052-001 1464-001 1821-001 2134-001 2412-001 2661-001 2886-001 092-001 3282-001 ]457-001
0070 1088-001 534_001 1931-001 2287-001 2608-001 2899-001 31 66-001 412-001 3640-001 31153-001 0080 10114-001 1587-001 2015-001 2406-001 2764-001 3093-001 3397_001 680-001 3943-001 4- 190-001 0090 1134-001 1628_001 2081-001 2500-001 2889-001 3250-001 3587_001 3903-001 4199-001 4 479-001 0100 1150-001 660-001 2134-001 2576-001 2990-001 3379-001 3745-001 4090-001 4416-001 4 125-001 0120 1173-001 1707_001 2212-001 2691-001 3145-001 3571-001 3988_001 4381-001 4756-001 5115 001
0140 1188-001 1740-001 2267-001 2771-001 3255-001 3119-001 41 65-001 4593-001 5007-001 5 405-001 0160 1200-001 1764-001 2307-001 28l1-001 3336-001 38Z5-001 4298-001 4755-001 5197-001 15 627-001 0180 1210-001 783-001 2338-001 2816-001 3398-001 3906-001 4399_001 4880-001 5347-001 SJJ01-001 0200 10217-001 1797-001 2362-001 2912-011 3 447-001 3970-001 4480-001 4977-001 5464-001 Smiddot940-001 0250 1234-001 1826-001 2406-001 2976-001 3535-001 4083-001 4123-001 51 52-001 5673-001 6185-001
0300 1249-001 1848-001 2439-001 3020-001 3594-001 4160-001 471 7001 ~26R-00I 5811-001 6 347-001 0350 1266-001 810-001 2467-001 3057001 3640-001 4217-001 4788-001 5352-001 5911-001 6 4 64-001 0400 1286_001 1893_001 2495_001 309 1-001 3681_001 4266_001 41146_001 5420-001 5990-001 6554001 0450 1310001 1920_001 2525_001 3125-001 3 720_001 4311_001 4891_001 5479-001 6057_001 6630-001 0500 1339_001 1951_001 2558001 31 61_001 3160_001 4356_001 4947_001 5535-001 6119-001 6 b99-001
0550 1374-001 1987-001 2596-001 3202-001 3804-001 4402-001 4998_001 111590-001 6179-001 6764-001 0600 1416-001 2030-001 2640-001 3248-001 3852-001 4454-001 5052-001 5648-001 6240-001 6 830- 001 0650 1482-001 2097-001 2709-001 3318-001 3924-001 4527-001 5128-001 5726-001 6322-001 6 915-001 0100 1middot595-001 2210-001 2822-001 3432-001 4039-001 4644-001 5246-001 5846-001 6444-001 1040-001 0750 10185-001 2400-001 3012-001 3622-001 4230-001 4835-001 5439-001 6040-001 6639-001 7236-001
0800 20CJ3-001 2707-001 3318-001 3928-001 4535-001 5140-001 5744_001 6345-001 6945-001 7 542-001 0850 2564-001 3175-001 3185-001 4393-001 4999-001 5603-001 6205-001 806-001 1405-001 8002-001 0900 3242-001 3851_001 4458-001 5063-001 5666-001 6268-001 6868_001 1466-001 8063-001 8659-001 0950 4112-001 4716-001 5379-001 5980-001 6580-001 7178-001 7714-001 111middot369-001 8962-001 9554-001 1000 5393-001 992001 6589-001 1184-001 7178-001 8371-001 8962-001 9552-001 1014000 1 073000
1100 8162-001 9444-001 1002middot000 1060000 1118middot000 1176middot000 1233000 1291000 1348+000 1405000 1200 1402000 14580000 1513000 1568000 1624000 1679+000 1734000 1789middot000 1844000 i 898middot000 1300 2149middot000 2201000 2253middot000 2304middot000 2356000 2407000 2459000 2510middot000 2561middot000 2 612000 1400 3208000 3254000 3301middot000 3347000 3393000 3440000 3486000 3S32middot000 3518middot000 3 623000 1500 4611middot000 4650000 4690000 4729middot000 4168middot000 48070000 4846000 488middot000 4924middot000 bullbull 963middot000
Page 113
TABLE 11 (CONTINUE)
C IJMOLE IO
0 00600 00640 00650 00700 00750 00800 OOYOO 01000 011 00 01i00
00
0000 00110+000 (1000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0middot000+000 0000+000 0000+000 0001 6693-003 6858_003 6899_003 7096-003 7285-003 7467_003 71114_003 bullbull 139-003 8447-003 8 74 0-003 000i 1339-002 137i-002 1380-00l 1419-002 1 1057-002 1493-002 1563_0(12 628-002 168Q-00l 148-002 0003 200 8_002 2057_002 2069_00 2 2128-00i 21115_00i 224O_OOi 2344_002 2441-002 2534_002 2 622-002 0004 i676_00i 2743_002 2759-002 2838-002 29 13_002 2986_002 3J2amp-002 3255-002 3378-002 3495-002
0006 4013-002 4112-002 4136-00l 42amp5-002 4369-00i 4478-002 4 86-002 4e81-002 5066-002 Si42-002 0008 5347-002 5480-002 5512-002 5670-002 58ii-002 5968-002 6i46-00i 650-002 6753-002 6988-002 0010 6679-002 845-002 6885-002 7083-002 1273-002 7456-002 7803- 002 11130-002 8438-002 8middot732-002 0012 8006-00i 1I206-00i 8255-002 8493-00i 8722-002 8941-002 9359-002 Q S1-OO2 1012-001 1047-001 0014 9330-002 9564-00i 9621-00i 9819-002 1017-001 1042-001 1091-001 11 37-001 10180-001 1 22 1-001
0016 10t5-001 1092-001 1098_001 11 30-001 1161-001 1190-001 1246_001 loi9s-001 1 348-001 1 395-001 0018 1196-001 1226_001 12310-001 1270-001 1304-001 1337-001 1400-001 1459-001 -515-001 1568-001 0020 1327_001 1360 001 1369 001 1409-001 1 447_001 1484_001 1554_001 1620-001 168i-001 1 741 - 001 0025 1649_001 1692-001 1703-001 1753-001 1802-001 1849-001 1937- 001 iOiO-OOl i098-001 2172-001 0030 19M-00I i018-001 i030-001 209i-OOl iH51-001 ii08-001 i3IS-001 i415-001 i510-001 2 599-001
0035 2i73-001 2336-00 i351-001 i4i4-001 i494-001 i561-001 i89-001 2A06-001 i917-001 3023-001 0040 i570-001 i6103-001 i661-001 i747-001 28i9-001 i901-001 3054_001 3191-001 3320-001 3441-001 0045 2855-001 2939-001 2960-001 3059-001 3154-001 3243-001 3412-001 middot569-001 3715-001 3 854-001 0050 3125-001 3222-001 3245-001 3359-001 3466-001 3569-001 3760-001 393A-00I 4103-001 4 259-001 0060 3621-001 3744-001 3173-001 3916-001 10052-001 4181-001 442l-001 4644-001 4851-001 SOH-OOI
0070 40111-001 420i-001 4i38-OO1 4414-001 4581-001 4739-001 5032_001 530i-00 5553-001 5 787-001 0080 443-001 45-001 4642-001 4850-001 5047-001 5235-001 5086_001 5908-001 6204-001 6 1081-001 0090 4743-001 4944_001 4993-001 5i31-001 5458_001 5674_001 6080-001 0454-001 6802-001 1126-001 0100 501 8-001 5242 001 5297_001 5563-001 5818_001 6062-001 6020_001 6946-001 7342-001 7 13-001 0120 5459_001 50724_001 5789_001 6106-001 6 411-001 6705_001 7i6~_01)1 7782-001 8270-001 8 31-001
0140 5790-001 61189-001 616i-001 6S21-001 6869-001 7206-001 7848_001 8454-001 9026-001 569-001 0middot160 6044-001 6369-001 6449-001 6843-0111 7226-001 7599-001 831 4-001 8994-001 9641-001 1 026-0011 0180 6i44-001 6590-001 6676-001 7098-001 7509-001 7911-001 868amp-001 9-431-001 1014000 1 082+0011 0i00 6405-0111 6769-001 6859-001 7303-001 7739-001 8165-001 8Q9J-OOI -789-0 0 l 1056+000 1129+1100 02511 6689-001 7086-001 7184-001 7673-001 8154-001 8626-001 9S5U-ODI 1045+000 1132+0110 1216+000
0300 6877-001 7295-001 7399-001 7915-001 8 425-1101 8929-001 9lt11 9-001 1089+1100 1183+0110 1 276+000 0350 7011-001 7444_001 7552001 8088-001 8619-0111 9145-001 1018+000 11211+000 1ii0-DOO 1 318+000 11400 711 4-001 7559_001 7669-001 8220-001 8766-1101 9308-001 1038+000 11 43+000 1247+000 t 349 +ODO 0450 7i00-ODl 7653_001 7765_1101 83i7-001 8885_001 9438_001 1054 +0011 1162+000 1~269000 1 374 +000 11500 7276-001 7735-0111 7849-0111 8419-001 8985_0111 9549_001 1061+0(10 11 77+000 1286+0110 1 394+000
0550 7347-0111 7811-001 1920-001 8503-001 9076-001 9647-001 1078 -01111 1190000 1301+0011 411 +000 0600 7417-001 7885-1101 8001 001 8583-1101 9162-001 9739-1101 1088+11110 1middot202+000 1314+1100 4i6+000 0650 7SDI-001 7976-001 80910-001 8679-0111 9263-001 9844-1101 10 100+11110 1215+000 13i8+00D 1441+000 07011 76]3-001 8106-1101 8224-001 8813-001 9400-001 9985-001 111 5+000 1(31)+000 1345+0110 1 459+000 0750 7middot831-001 8306-1101 8424-001 9015-001 96115-001 101119+1100 1136+000 1middot252+000 1368+000 1482+0011
08110 81~8-001 8614_11111 873i-001 9325-1101 9915-0111 1050+000 1168+000 1284+000 1400-000 515+0011 118511 11laquo97_001 91173_1101 9191-11111 9183-0111 11137+11110 111960110 121 4000 1330+11110 1446+1100 1 562+0011 0900 9i5i-OD1 9726-001 9845-001 1044+0110 1102+11110 1161+000 1218000 1395+0110 1511000 6i6+000 0950 101114+0011 11162+000 1073+111111 11 32+0011 1191+1100 1249+000 1366+000 14820011 1598+000 bull fl3+000 1000 1131+0110 11780011 1190-000 1248+1100 1306+000 1364000 1480+0110 11595+000 1710+000 1 824+0011
1100 14(12+0011 1508+1100 151 9+1100 1576+01111 1633+0011 1689+000 180i+QOO 1914+11110 2026+000 2138+000 121111 1953+000 1997+1100 21101+11110 20tli+DDO 2116000 i170+DDO iZ79_DDO 2386+0011 2494+11011 ZbOl+QOQ 103011 2663-1100 2704+11011 2114+000 i7b5+00Q 2816-000 2866+000 2961_11110 306e+000 3168+000 3 268+000 141111 369+11110 37116-000 3715+1100 3760+000 3806+000 3851+000 3942+11011 40 32+000 4122+111111 4 212+0011 15110 5002+000 51133+000 5041+0011 5079-000 5118+ 000 5156+0011 5233+0011 ~309+QOQ 5386+000 5 46i+ODO
Page 114
TABLE 11 ltCONTINUED)
C IJMOLEmiddotIO
01300 01400 01500 01600 01800 02000 02250 02500 02150 03000~ (I( )
0000 0000+000 0000+000 0000+000 0000+000 0000middot000 0000+000 0000+000 0000middot000 0000+000 0000+000 0001 9020003 9288_003 9547003 97n-003 1027-002 1072002 11 20_002 1177-002 1225-002 1i72-002 0002 1804_002 1158_002 1909_002 1959_002 2055_002 2145_002 2252_002 2353-002 2450_002 2 544-002 0003 2706_002 2786_002 2864_002 2939_002 3082_002 3217002 3378_002 3530_002 3676_002 3amp16002 0004 3607_002 3715_002 381 8002 3918_002 4109002 4289_002 4503_002 4706_002 4901_002 15 088002
0006 5410-002 5571middot002 5727-002 5817-002 6163-002 6434-002 6154_002 7059-002 7350-002 7 03 1-002 0008 7212-002 7427-002 7634middot002 7834-002 8216middot002 8577-002 9005-002 9411-002 9800-002 1011-001 0010 9012-002 9281-002 9540-002 9790-002 1027-001 10072-001 1125-001 1middotP6-001 1225-001 1272-001 0012 1QIH-OQl 1middot113-001 1144-001 1175-001 1232-001 1286-001 135U-OOI 1middot411-001 147 0-001 1 526- 001 0014 1middot261-001 1298-001 1335-001 1370-001 1 437-001 1500-001 1575-001 10646-001 11 14-001 1 180-001
0016 1440-001 1483_001 1525-001 1565-001 1641-001 1714-001 1799_001 1881-001 1959-001 2034-001 0018 161 9-001 1668_001 174-001 1760-001 184tgt-001 1927-001 2024-001 215-001 2203-001 2 287-001 0020 11lt)8001 1852_001 1904-001 1954_001 2050-001 2141_001 2248 001 2350 001 2447-001 2 54 1-001 0025 2243-001 2311-001 2376_001 2439-001 2559-001 2673-001 280 7001 2935-001 3056 001 3174-001
0030 26A5-001 2707_001 2846_001 2921-001 3066001 3203_001 336-001 351A-00l 3664_001 3 8OS-001
0035 3123-001 3219-001 3312-001 3401-001 3570-001 3730-001 3919-001 4094-001 4270-001 4 435-001 0040 3557-001 3668-001 3774-001 3876-001 4071-001 4254-001 4471-001 4677-001 4873-001 5062-001 0045 39A5-001 4111-001 4231-001 4347-001 4568-001 4775-001 502U-001 5252-001 5474-001 5 687-001 0050 4407-001 4548_001 4683-001 4813-001 5060-001 5292-001 5560-001 1125-001 6072-001 6309-001 0060 5227-001 5401-001 5567-001 5726-001 6028-001 6310-001 6643-001 6 951-001 1256-001 7542-001
0010 6008-001 218_001 6417-001 6608-001 6 968-001 7304-001 7 98_0111 A06lt)-001 8421-001 8 759 001 0080 6743-001 6991-001 7220-001 7451-001 7874-001 8267-001 8726001 91 56-001 9565middot001 9955-001 0090 1430-001 7716_001 7988001 8249-001 8738_001 9192-001 9120-001 1021+000 1068+000 1 113 +000 0100 8062-001 8392-001 8704-001 9000-001 9551-001 1008000 1068000 124+000 1177+000 lc27000 0120 lt)17 001 9580_001 9914-001 1035+000 1106+000 117+000 1246 +000 1316+000 1382000 1444+000
01 40 1008+000 1058+000 1105+000 1150+000 loc35+000 1314+000 1406+000 1491+000 1570+000 645+000 0160 1085+000 1141middot000 1195+000 1247+000 1346+000 1438+000 11146000 1740+000 829+000646+000 0180 1148+000 1211+000 1272middot000 1330+000 11141+000 1546+000 168+000 1783+000 1891+000 1994+000 0200 1201+000 1269+000 1330+000 1400+000 1523+000 1639+000 1176+000 1904+000 2026+000 2141middot000 0250 1299+000 1379+000 1457+000 1534+000 1681+000 1821middot000 1lt)89+000 247+000 2299+000 2 444+000
0300 1366+000 1454+000 1541+000 1626+000 1791+000 19H+000 21 42 +000 325+000 2502+000 2 671+000 0350 141 4+000 1509+000 1602+000 1694 +OOl 1872+000 2046+000 2255+000 2451+000 2654+000 2 844+000 0400 1450000 1549+000 1647000 1744+000 1 934+000 2118+000 2342+000 2560+000 2771+000 2 978+000 0450 1478+000 1581+000 1683+000 1783000 1981middot000 Z174+000 2410+000 C640+000 2864middot000 3083+000 0500 1501+000 1607000 1711middot000 1815middot000 2019+000 2219+000 246S+0IHI 2104+0 2939+000 3 169000
0550 1520+000 1628+000 1735+000 1841+000 2050+000 2256+000 2509+000 751+000 3000+000 3 240+000 0600 1537+000 1641+000 1756+000 1864middot000 2077+000 2288+000 2541000 2801middot000 3051+000 t29S+000 0650 1553+000 1665+000 1775middot000 1885+000 2102+000 2316+000 2580 +000 2140middot000 3096+000 3349000 0700 1512+000 1685+000 1796+000 1907+000 2121+000 2345+000 213000 2818middot000 3139middot000 3396+000 0750 1596+000 1710+000 1823+000 1935middot000 2157+000 2317+000 26411 +000 2417+000 3181+000 3 443+000
0800 16~0+000 1744+000 1857+000 1970+000 2194+000 2416+00amp 2690+000 961+000 3229+000 1494+000 0850 1677+000 1191+000 1905middot000 2018+000 2243+000 2466+000 2142+000 3015+000 3285+000 3 552+000 0900 1141+000 1856+000 1969+000 2083+000 2308+000 2531+000 2808000 3082+000 3353+000 3 622+000 0950 1821+000 1941+000 2055000 2168middot000 2393+000 2616+0011 2892+000 3166+000 3438+000 3 101+000 1000 1938+000 2051+000 2164+000 2217+000 2501+000 2723+000 2998+000 3211+000 3542+000 3 810000
1100 2249+000 2360+000 2410+000 2580+000 2799+000 3011+000 3287+000 3554middot000 3820+000 4084middot000 1200 2707+000 2814+000 2920+000 3025000 3236+000 3445+000 3704+000 3962middot000 4218+000 4bullbull12+000 1300 3368+000 3467+000 3566+000 3665+000 3862+000 4051000 43011+000 4541+000 4181+000 5019+000 1400 43(12middot000 4391middot000 4480+000 4568+000 4745+000 4920+000 5138+000 5355+000 5569+000 5783+000 1500 5537+000 5613+000 5688+000 5163+000 5 912000 6060+000 6244000 6427+000 6608+000 6 788+000
Page 115
TA8Le 12
THE ENTROPy OF THE TOTAL HE3 - HE SOLUTION
5 (J140LE-K)
~ 011001 00002 00005 00010 00020 00030 00040 00050 00060 00080
UO
0000 0001 0002 0003
0000+000 7128_004 1271-003 16111-003
0000+000 9212_004 1751_003 2411_003
0000+000 126-003 2495_003 3651_003
0000+000 1598_003 lI BO-003 4129_003
0000middot000 2019_00l bullbull 030-003 0026_003
0000+000 2316_003 4626_003 6927_003
000(1+000 21554_003 ~103_003 7t II _OO3
0000+000 c75_003 50-003 8255_003
0000+000 2933_003 5 8h_003 8790_003
0000+000 3239- 003 677-003 9110-001
000 1996-003 299B_003 4701-003 62l2-003 7997-00l 9212_003 10111-00~ i099-002 1171-002 1 29-002
0006 2464-003 3866-003 6483-003 8966-003 1 IB2-002 10371-002 15111-002 1middot-002 1 151-000 1 937-002 0008 0010
2806-003 3075-003
bullbull520-003 503-003
7923-003 9117-003
1136-002 1345-002
151-002 1872-002
1805-002 2219-002
2009-002 2483-002
21 7A-002 2701-002
2l25-00l 28B9-002
2middot~15-002 3a 06-OO2
0012 3298-003 5477-003 1013-002 1527-002 2176-002 2609-002 29311-002 320A-002 30440-002 3 1129-002 0014 3486-003 5847-003 1101-002 1689-002 2 bullbull54-002 2973-00 3371-002 3697-002 3975-002 4439-002
0016 36M-003 6PI_003 1178-002 1833-002 2708-002 3314-002 3782_002 bullbull 165-002 4491-002 5035-002 Omiddotou 0020
3796-003 3926-003
6457-003 6115-003
1247-002 1310-002
1964-002 2082-002
292-002 3159-002
3633-002 3931-002
41 70-002 4536-002
611-002 5037-002
bullbull988-00l 5466-002
51115-002 6178-002
0025 0030
bullbull 202-003 4428-003
72amp3-003 7712-003
1bullbullbull4-002 1554-002
2339-002 2554-002
3amp36-002 bullbull 01-002
bullbull 598-002 5174-002
53amp9_002 60 99-002
6016-002 1188-002
6573-00l 7568-002
705-002 821-002
0035 bullbull620-003 8094-003 1648-002 2737-002 bullbull 392-002 5678-002 6745_002 7660-002 8 bullbull64-002 9833-002 0040 0045 0050 0060
4786-003 bullbull 934_003 5066_003 5295-003
8425-003 8717_003 8980_003 9435_003
1730-002 1802-002 1867-002 1980-002
2898-002 3040-002 3168-002 331-002
4702-002 bullbull 978_002 522a-002 5664_002
6127-002 6529_002 6890_002 7536_002
7323middot002 7844-002 831 9_0112 91)1-0n2
80359-002 0993-002 9573-002 1060-001
9277-00l 1002-001 1070-001 1191-001
1085-001 1179-001 1266-001 1 4Z1-001
0070 5bullbull90-003 9822-003 2075-002 3581-002 6037-002 8086-002 9879_002 11middot9-001 1296-001 557-00 0080 0090 0100 0120
5661-003 581middot-003 5913-003 6200-003
1016-002 06-002 1073-002 1120-002
2158-002 2Z32-002 2298-002 2414-002
376-002 3801-002 4022-002 4250-00Z
6362-002 6650-002 6908-002 7358-002
1566-002 1051-001 8993-002 10107-01)19378-002 11 58-001 100S-001 1241-001
1227-001 1297-001 1359-001 1middot469-001
388-001 1 471-001 1 546-001 1676-001
1 677- 00 1 1185-001 1883-001 2middot0SS-001
01middot0 6419-003 1161 002 2512-002 444-002 771-002 1062-001 1322_001 1S63-001 17811-001 2202-001 0160 6623-003 11 98_002 2599-002 bullbull 613-002 8075-002 1111-001 11118_001 l64S-OOl 1886-001 2 331-1101 0180 0200
687-003 7007-003
1232-002 1264_002
2677_002 2748-002
4764-002 bullbull901-002
8371-002 8638-002
115S-001 1195-001
1bullbull46_001 1499_001
10717-001 1782-001
1972-001 2050-001
Zmiddot6-001 2 5bull 9-001
0250 7493-003 13middot1-002 2908-002 S200-002 9212-002 1280-001 1lIll-00l 1922-001 2217-001 2 169-001
0300 A030-003 1417-002 3053-002 5bullbull57-002 9696-002 1351-001 1704 -001 20311-001 2355-001 2 951-001 0350 0400 0bullbull50 0500
8655-003 9396-003 1028-002 1middot114-002
1bullbull99-002 1590-002 1693-002 1812-002
3192-002 3333-002 3480-002 3638-002
5693-002 5916-002 6137-002 6360-002
1012-001 1051-001 1088-001 1123-001
1bullbull12-001 1middot68-001 1519-001 1568-001
1785-001 1851-001 19Z3-001 1985-001
2]37-001 2226-001 2)06-001 2381-001
2bullbull73-001 2571ll-001 2673-001 2761-001
]107-001 ]i5-001 3 369-001 3 483-001
0550 12i8-002 1948_002 3810-002 6S92-002 1158-001 1615-001 2043-001 0451-001 283-001 3588-001 0600 0650 0100 0750
1bullbull04-002 15110-002 1808-012 2122-00Z
2105-002 2291_002 2527_002 2851_002
3999-002 bullbull215_002 bullbullbull79_00Z bullbull828_002
6835-002 7101-002 7411-002 7803-002
119-001 1230-001 1270_001 1318_001
1661-001 1707_001 1756-001 1813_001
2100-00)21S6_001 2H5_001 2280-001
2519-001 21585-001 265]-001 2726-001
2921-001 2998_001 3075-001 3156-001
]688-001 ]8-001 3879-001 3978-001
0800 2576-002 3312-002 531 4-OOZ 8329-002 1379-001 1881-001 2356-001 2Al]-001 329-001 ~O87-001
0850 0900
3238-002 middot19O-OOZ
3981-002 4941-002
6005-002 698amp-002
9058-002 1007-001
1middot59-001 1568-001
1969-001 2085-001
2452-001 257-001
2914-001 3043-001
3359-001 3bullbull96-001
4 212-001 4 363-001
0950 55gt7-002 6285-002 8350-002 11middot7-001 171-001 2238-001 Z734-001 209-00 3669-001 58-001 1000 7351-002 8middot11-002 1020-001 1335-001 1908-001 2 bullbull311-001 2940-001 3 bullbull22-001 3887-001 4 raO-OOl
1100 1288-001 1366-001 1577-001 1898-001 2483-001 302-001 3538_001 4031-001 4507-001 5 4 22-001 1200 1300 1400
218-001 34H-001 5367_001
2246-001 3S61-001 5447_001
2bullbull61-001 3778_001 5667_001
2787-001 4108-001 6001-001
3381-001 bullbull 711-001 6611_001
3933-001 5271-001 717B_001
bullbull 456 0111 5803_001 771 11 _001
bullbull959-001 11315-001 8237-001
5446-001 6810-1101 8739_001
6381-001 762-001 9 106-001
1500 79110 001 8061-001 8282-001 8619-001 9236-001 9809-001 103S+000 108+000 1139000 1middoti37middot000
Page Ilb
TAlK 12 CONTINUED)
IJMOLE-K)
00100 00150 00200 00250 00300 00350 00400 00450 00500 00550 ~ ItO
0000 0000+000 1)000000 0000000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 31500-003 4035_003 4470_003 4844_0n3 5115_003 547_003 5752_003 6009-003 6250_003 6 477-003 0002 69Q9-003 8070_003 8939_00 3 9686_003 1035002 1095_002 11 5deg_002 202-0OZ 1250-002 1295-002 0003 1049_002 1210_002 1341-002 1453_002 1552-002 1642_002 172)_002 1802-002 1875002 1 943002 0004 1399_002 1613_002 1787_002 1937-002 2069_002 219n_002 2 bull 011-002 2403-002 2500-002 2 591-002
0006 ~OQS-002 2418-002 2679-002 2904-002 3103-002 3284-002 3450-007 3middot604-002 3749-002 3R85-OO2 0008 27~7-002 3220-002 3569-002 3869-002 4135-002 4376-002 415911-002 4middot~04-002 4997-002 5 179- 002 0010 3474-002 4018-002 4457-002 4833-002 5166-002 54-002 5745_002 iIiOOl-002 6244-002 amp472-002 0middot012 4154-002 4812-002 5341-002 5794-0n2 6194-002 6557-002 68911-002 7200-002 7490-002 1 4-002 0014 41125-002 0600-002 6221-002 6751-002 7220-002 7644-002 8033-0112 8]95-002 8734-002 ~U54-002
0016 54A4-002 ~382-002 7096_002 7705-n02 8242-002 8728-002 91 74-OO 95811-002 9976-002 1 034- 001 0018 6131-002 7155-002 7965-002 8654-00 9261-002 9809-002 1031 -001 10711-001 1122-001 163-001 0020 6763-002 7918_002 8827_002 9SY7-0n2 1028_001 1089_001 1145_001 11 97-001 1245-001 I Z9 1-001 0025 8272-002 9775_002 1094_001 11 93-001 1279-001 1356-001 1427-001 1492-001 1S53-001 1 611-001 0030 9675-0n2 1155_001 1300-001 1 420-001 1526_001 1620-001 170S-00t 1785-001 1859-001 1928-001
0035 1097-001 1323-001 1497-001 1642-01l1 1767-001 1879-001 1980-001 1074-001 2161-001 2243-001 00 40 121 8-001 14S1-001 1686-001 1855-001 2002-001 2132-001 22511-001 ]59-001 2460-001 2 554-001 0middot045 1middot39-001 1631-001 1866-001 2061-001 2230-001 2379-001 251 4-001 263A-001 2753-001 2 861-001 0050 143-001 1771-001 2038-001 2259-001 2 450-001 2620-001 27Ta-001 2912-001 3042-001 3middot164-001 0060 16O-001 2030-001 2356-001 2630-001 2 867-001 307E1-001 368_001 3441-001 3602-001 3 152-001
0070 1785-001 2261-001 2646-001 2971-001 3255-001 3507-001 373+-001 3943-001 4136-001 4 315-001 0080 192-001 2469_001 2909-001 3285-001 3613-001 3907-001 4173_001 4416-001 46112-001 4852-001 0090 20115_01)1 2659_001 3151-001 3574_001 3946_001 4280-001 4584_001 4863_001 5122_001 5363 001 0100 20185-001 283Z-001 3373-001 384 1-001 4256-001 4630-001 4971-001 5284-001 5576-001 5 848-001 0120 2397-001 3llY-001 3769-001 4322-001 4816-001 5264-001 5 76_001 6057-001 6 412-001 6 146-001
0140 2579-001 3405-001 11115-001 4743-001 5309-001 5827-001 6305-001 749001 7165-001 7557001 0160 2738-001 639-001 44211-001 5117-001 5750-001 6331-001 68711-001 7374-001 7847-001 8 294 - 0010180 2880-001 3848-001 4694-001 5453-001 6146-001 6786-001 782-0111 7 941-001 8461-001 amp967-001 0200 3008-001 4036-001 4941-001 5758-001 6507-001 7201-001 750-001 bullbull 46f)-001 9038-001 586-001 0250 32A2-00l 4441-001 5473-001 6415-001 7286-001 8100-001 8866-001 9591-001 1028+0011 1 094000
0300 35t18-001 4715-001 5915-001 6962-001 7936-001 8852-001 9718-0()l 054middot000 1133+000 1208+000 0350 3702-001 5062-001 6293-001 7430-001 8494_001 9497-001 1045 +000 11 36000 1223+000 1 307+000 0400 3872-0111 5313_001 66211-001 7841-001 8983_001 1006+000 110Y00O 1208+000 1303000 1 394+000 0450 4025-001 5538_001 6920-001 8207-001 9418-001 1057000 1161+000 1272+000 1374+000 1472+000 0500 4164-001 5742_001 7188-001 8538-001 9812-001 1103+000 1219+000 1330+000 1438+000 1542+000
0550 4293-001 5929-001 7433-001 8841-001 1017+000 1144+000 1266+000 1383+000 1496+000 1606000 0600 445-001 6middot104-001 7661-001 9121-001 1051+000 1183+000 1311hOOO 1432+000 1550+000 1665+000 0650 45~0-001 ~269-001 7875-001 9384-001 1082+000 1219+000 13511000 1middot478middot000 1601+000 1120+000 0700 4644-001 ~428-001 8079-001 9633-001 1111+000 1253+000 1389+000 1520+000 1648middot000 1 172+000 0750 47110-001 6586-001 8280-001 9876-001 10140+000 1285middot000 1426+000 561+000 1693middot000 1821+000
0800 48114-001 6750-001 8483-001 1012middot000 1168middot000 137+000 146Z+000 1601000 1137+000 1869000 0850 5024-001 6927-001 8697-001 1037+000 1197+000 1350+000 1498000 141+000 1780+0011 1916+000 0900 5189-001 7127_001 8932-001 1064000 1227000 1384+000 1535+000 1682000 1824+000 1 963+000 0950 5388-0111 7359_001 9196-001 1094+000 1260+000 1420+000 1574+000 1724middot000 1870middot000 2012middot000 1000 56~2-001 7633-001 9502-001 1127+000 1297000 1460+000 11 7+000 770+000 1919+000 2 064000
1100 62Q7-001 8354-001 1028middot000 1211+000 1386middot000 1554+000 171 7+000 1876middot000 2030middot000 2181+000 1200 7275-001 9382-001 1136+000 1323+000 1503+000 1677+00( 1845000 008+00Q 2167+000 2 323000 1300 8674-001 1082+000 1284+000 1476+000 1660+000 1838+000 201lhOoO 2178+000 2341middot000 2 501000 1400 10gt3+000 1282+000 1487middot000 1683+000 1871middot000 2052+000 2228+000 239q+000 2566+000 2 730+000 1500 1330+000 1552middot000 1761+000 1959+000 2150+000 2334+000 21113+000 C687middot000 2857+000 3 024+000
Page 117
TA8LE 12 (CONTINUED)
S (JMOLE-Ilt)
~ 00600 00640 00650 00700 00750 OOAOO 00900 01000 01100 01200
110
0000 0001 0002 0003 0004
00110middot000 6613-003 1339002 2008-002 2677-002
0000middot00(1 6858_003 1372_002 2057_002 273-002
0000middot000 6899_00 3 1380002 207(1-0022759002
0000000 7096-003 1419002 21 29-002 2838_002
0000000 7285-003 1457_002 2185_002 2914002
0000000 7467-003 1493_002 2240_002 2987_002
0000000 781 4-003 163_002 234-002 3125-002
0000000 -139-003 162111-002 2442-002 3255-002
0000middot000 8447-003 1689-002 2534-002 3319 002
0000000 140-003 1r48-002 2622-002 3496002
0006 0008 0010 0012 0014
4015-002 1113152-002 66118-002 1103-002 1307-002
411 4-002 5484-002 6854-002 8222-002 95d9-002
41311-002 5517-002 6894-002 8271-002 9640-002
42S7-002 5675-002 7092-00 2 8508-002 9923-002
4370-002 5826-002 728 1-002 8735-002 1019-001
4480002 5972-002 7464-002 8954-002 1middot0-4-001
481-002 6249002 7AlII-002 9371-002 1093-001
4A83-002 6510-002 81 36-002 0761-002 11 39001
5067-002 6756-002 8444-002 1013-001 10182-001
5243-002 990-002 8 737002 1048-001 1223-001
0016 0018 0020 0025 0030
1069-001 1202-001 1335_001 1665-001 194 001
1095-001 1232_001 1368_001 1707_001 2045_001
1102-001 1239-001 1376_001 1118-001 2057_001
1134-001 1275-001 1416_001 1767-001 2117-001
1164 001 1309001 1 454 001 1 8 15_001 2174-001
1193-001 1 342-001 1490_001 1861_001 2230-001
1249 _001 10--0011560_001 1948_001 233S 001
1301-001 1463-001 1625_001 2030-001 2433-001
1350-001 1519-001 1 687_001 2107-001 2526-001
1397-001 1572-001 146 001 2181-001 Z615-001
0035 0040 0045 0050 0060
2321-001 2644-001 29t3-00l 3278-001 3892-001
2380-001 2712-001 3040-001 3365-001 3999-001
2394-001 2728-001 3059-001 3386-001 4025-001
2465-001 2809-001 31 51-001 3489-001 -1gt2-001
2532-001 2887-001 3139001 3588-001 4272-001
2597-001 middot2961-001 3323-001 3682-001 4388-001
2720-001 3103-001 34U-00I 3861-001 405-001
20135-001 3235-001 3middot632-001 402111-001 411109-001
2944001 3360-001 3773-001 4185-001 5000-001
3047-001 3478-001 )907001 4334-001 I5181-00
0070 0080 0090 0100 0120
4484-001 5049-001 5589middot001 6104-001 1059-001
4612 001 5199_001 5761-001 6298_001 7298_001
4643-001 5236-001 5803-001 6345middot001 7357-001
4794-001 5412-001 6006-001 6575-001 7639-001
4937-001 5580-001 6199-001 6193-001 7908-01
5075001 5741-001 6383-001 7001-001 8166-001
5334_001 6042_001 672901)1 7393_001 850-001
5575001 6323-001 7051-001 7757-001 9100-001
5801-001 6585-001 7351-001 8096-001 9520-001
6015-001 834-001 70635-001 8 416-001 9 916-001
0140 0160 0180 0200 02S0
7927001 8718-001 441-001 1011000 1157middot000
8210-001 90_2-001 9805-001 10UmiddotOOO 1206000
8218001 9121-001 989-001 1061000 1218 000
8613-001 9506-001 1033000 1109000 1276000
8933-001 9814-001 1014000 1155000 1332000
9239-001 10023middot000 1114000 1199000 1386000
9tH5-00l 1089000 11 9(01121283000 149(000
1035000 152000 12600001362000 588000
1085middot000 1210000 10327000 1-36000 16110-000
1133000 1 265000 1389+000 1506-000 1 168000
0300 0350 0400 0450 0500
1281000 1388_000 14A2middot000 1566 000 143000
1337_000 1450000 1551+000 1640000 1721_000
13510000 1466000 1567000 1658000 1741000
14111000 1sectAoI-0001650000 178000 1836000
1483000 1615000 17JhOOO 1835000 1929000
1546000 1686000 1809_000 1919 000 2020000
1 68000 IA22000 1960000 2083000 21 95000
1782000 1952-000 104000 239000 2363000
1891+000 2016000 2241000 2389+000 2524000
1995000 2195middot000 z37J000 2S34000 2679middot000
0550 0600 0650 0700 0750
1712- 000 1771-000 1836000 1892-000 1946000
1795000 1864000 1927000 1987000 2043000
1816000 1885000 1949middot000 2010000 2067000
1917000 1991+000 2060-000 21Z5middot000 21 86000
201 5000 2094middot000 2168middot000 2237000 2303000
2111000 2195000 2274middot000 2347middot000 2417000
2297000 23910000 2479000 2561000 2638000
2475000 2579000 iI~76middot000 2767000 2852000
2647000 2761000 2867000 2966000 3059000
2amp13middot000 2937000 3 051000 3 159000 3260000
0800 0850 0900 0950 1000
1917-000 2048000 2019000 2151000 22116000
2098-000 2151000 2205+000 2260000 2317000
2123000 2177+000 2231middot000 2287-000 2344000
2245-000 2303-000 2361-0110 2419000 2480000
2366000 2 427000 2488+000 2550000 2614000
2483-000 2548000 2613000 2678-000 2745-000
27tl-00O 278bmiddot00o 2A56+000 2927000 3000-000
934000 3013000 3091000 ~16C100o 3247000
3149000 3235+000 3319000 3403middot000 3488middot000
3357 000 345 0000 3541000 3 631000 3 122000
1100 1200 1300 1400 1500
2328000 2475000 2658+000 2890000 3186000
2444000 2594000 2780000 3015_000 3315000
2472000 2624middot000 2811-000 3047_000 3346000
2614000 2770middot000 2961000 3201000 3503_000
2752000 291 4 000 3109000 3352000 3658+000
2889000 3055-000 3255_000 35010000 3810000
31 55 000 3331000 31J39_000 3792_000 4107000
3413000 3599000 3815-000 -07tmiddotOOO 4396+000
366000 3860middot000 40114000 4352000 4678000
3 909000 4114middot000 4347000 4622-000 4953-000
Page 118
TABU 12 (CONTINUED)
S CJMOLE-K)
01300 01400 01500 01600 01800 02000 02250 0241100 02750 03000~ 11lt1
0000 01100-000 0000-000 0000-000 0000-000 0000-000 0000-000 0000-000 0middot000-000 0000-000 0000-000 0001 9020-003 9288_003 9547-003 9797-003 1027-002 1072-002 1126-002 1177-002 1225-002 1212-002 0002 1804-002 18S8_002 1909-002 1959-002 2055_002 2145_002 225Z_002 235~-002 2450_002 2544-002 0003 2706-002 2786_002 2864_002 2939-002 3082-002 3217-002 3378_002 3530-002 3676-002 3816-002 0004 3608_002 3715_002 3819_002 3919_002 4109_002 4290_002 4t03_002 4707-002 4901_002 50811-002
0006 5411-002 572-002 5728-002 5878-01)2 6164-002 6434-002 6755-002 7060-002 7351-002 7 632-002 0008 7214-002 7429-002 7636-002 7836-002 8lin8-002 8579-002 9006-002 412-002 9801-002 1 018-001 0010 901 7-002 92lt6-002 9545-002 9795-002 1027-001 1072-001 1126-001 11 76-001 1225-001 1272-001 0middot012 1middot082-0n1 1middot114-001 1145-001 11 75-001 1232-001 1287-001 1351-001 1412-001 147 0-001 lmiddot526-001 0014 1262-001 1300-001 1336-001 1371-001 1 438-001 1501-001 1576-001 1647-001 1715-001 1 78O-OOt
0016 1442-001 1485-001 1527-001 1567-001 1643-001 1715-001 11101-001 882-001 1960-001 2035-001 0018 162-001 1670-001 111 1-001 1762-001 18U-00I 1929-001 2026_001 2117-001 2205-001 2 289-001 0020 1802-001 1856_001 1908-001 1958-001 2053-001 2143_001 2 2~1)-001 2352-001 2 449_001 2 543-001 0025 2251-001 23I8-001 2383-001 2446-001 2565-001 2678-001 21112-001 2939-001 3061-001 3178-001 0030 2699_001 27~0-001 2858_001 2933-001 3017_001 3213_001 3373 _001 3526-001 3672-001 312-001
0035 3146-001 3241-001 3332-001 34Z0-001 3587-001 3746-001 3934-001 4112001 4282-001 4 446-001 01140 3591 - 001 3700-001 3804-001 3905-001 4091-001 4278-001 4493-001 4697-001 4892-001 5 079- 0n 0045 4035-0111 4157-001 4275-001 4389-001 4605-001 4809-001 5051-0nl 528-001 5501-001 5712-001 0050 4477-001 4613-001 4744-001 4871-001 5112-0111 5339-001 5609-001 5A64-001 6108-001 6 343-001 0middot060 h 33-01l 1 551 8001 5677-0111 58Z9-001 6120-001 6394-001 671 9-001 7026-001 7320-001 7 tl 03-001
0070 6218-001 6413-001 6599_001 6779-001 7120001 7442-001 7822_0111 8182-001 8526-001 8857-001 0080 709-001 7294_001 7509-001 7717-001 8110-001 8481-001 891 8OII 9331-001 9726-001 1 010000 0090 7903-001 8160-00 8405_001 8641-001 9088-001 9508_001 1000000 1047- 000 1092000 1135-000 0100 8719_001 9008_001 9284-001 9549-001 1005000 1052000 1108_000 1160middot000 1210-000 125hOOO 0120 1029000 1065000 1099000 1131+000 1193_000 125000 131 8000 i382middot000 1 443_000 1 501+000
01 40 1177+000 1220middot000 1261-000 1300middot000 1373+000 1442000 1523000 l59A-000 1670-000 1 139000 0160 1317middot000 1367middot000 1414middot000 1460middot000 1546-000 1626middot000 1720-000 1808middot000 1891+000 1971-000 0180 1449+000 1505-000 1560000 1612-000 1710000 1802-000 1909000 2010-000 2105middot000 2196middot000 0200 1572middot000 1636middot000 1697-000 1755-000 186hOOO 1969+000 209000(1 2204middot000 2311-000 2414-000 0250 1852middot000 1932-000 2009000 2083middot000 22Z4000 2356middot000 Zt1 hooo 265middot000 2794-000 2 926-000
0300 2095-000 2190middot000 2283000 2372middot000 2541-000 2700-000 2888000 306-000 3232+000 3392-000 0350 2309-000 2419_000 2 1 525000 2 162811110 2823000 300e-ooo 3221_0110 3433-000 3630-000 3U+000 0400 2500middot000 26Z3_000 2742+000 2857+000 3 1 017000 3286000 3534 _000 ~769-000 3992000 4206middot000 0450 2673000 2808_000 2938000 3065_000 3308_000 l539_000 381 4000 4075+000 4324+000 4 563000 0500 2830000 2976_000 311 7_000 3254+000 3519_000 377hOOO 4071 0110 4356-000 4630_000 1193000
0550 2974+000 3130-000 3281middot000 34Z9middot000 37I3-000 3984+000 4308_000 4jI17-000 4913middot000 5198-000 0600 3101middot000 3middot272+000 3433000 3590+000 3892+000 4182-000 4528000 459-000 5176middot000 15483+000 0650 3231middot000 3405+000 3574middot000 3740000 4060000 4366middot000 4733000 50 084middot000 5422-000 5 749-000 0700 3346+000 3529000 3707-000 3880middot000 4216000 4539middot000 4925000 5296000 5653-000 5999000 0750 3456+000 3middot646-000 3832-000 4013middot000 4364+000 4702-00n 5107000 549j1-000 5871-000 6235-000
0800 360middot000 3757_000 3950middot000 41 39-010 4504000 4856-000 5279+000 586-000 6078middot000 6459000 0850 360-000 3864-000 4064-000 4260+000 4639middot000 5004-000 5444middot000 51116-000 6276-000 _6 612-000 0900 3757000 3968000 4175+000 4377+000 4169000 5147_000 502_000 6041+000 6 465-000 6 877000 0950 3854000 4011000 4283-000 4491-000 4896000 5286+000 5756000 6210+000 6649_000 7 075000 1000 3950-000 173000 4391_000 4605-000 5021_000 5423000 5901000 375000 6828000 7 268_000
1100 414hooo 382middot000 4611-000 4836middot000 5272middot000 5695-000 620S+000 6699-000 7177+000 7 643000 1200 43~2middot000 4606-000 4844-000 5078-000 5534-000 5975000 6508000 702middot000 7526-000 8 01 4-000 1300 4604-000 4855+000 5102-000 5344-000 5816+000 6273middot000 61127middot000 7363-000 7884middot000 13392-000 l400 4886-000 5144-000 5398middot000 5647middot000 6133-000 6604-000 7174+000 772emiddot000 8266middot000 13191-000 1500 5223middot000 548hOOO 5746middot000 6001middot000 6498-000 6980-000 7565-000 81 32000 8684middot000 9223000
Page 119
TABLE 13
THE ENTHALPY AND EXCESS ENTHALPy OF THE TOTAL HE3 - HE4 SOLUTyON
X bull 00001 X bull 00002 X bull 00005 It bull 00010 X bull 00020
T -H HE -H HE -H HE -H Hp -H HE IKI (JMOLE) IJMOLEI IJMOLEI (JMOL1 IJMOLEI IJMOIEI IJMOLpoundI fJMOIEI IJMOLEI IJMOLEI
0000 0001 0002 0003
3905631 3905631 3905631 3905630
-000021 -000021 _000021 -000021
3905261 3905261 3905261 3905261
-000042 -000042 -000042 -000042
3904151 3904151 3904150 3904150
-000104 -000104 _000103 -000103
3902297 39112297 3902296 3902296
000203 -000203 _000 202 _000 202
3898580 3898580 3898579 38 98579
_000392 _000392 000391 _000391
0004 3903610 _000021 3905260 -000042 3904150 _000103 3902296 _0 00202 38 985711 _000390
0006 3905630 -000021 3905260 -0110041 3904149 -000102 3902294 -000200 3898576 _000388 0008 0010 0012 0014
3905630 3905630 3905629 3905629
-000020 -000020 -000020 -000020
3905260 3905259 39 05259 3905258
-00004i -000040 -000040 -000039
3904148 3904147 3904146 3904145
-000101 -000100 -000099 -000098
3911229 39(12291 3902289 39CI2287
-00199 _000197 -000195 _000193
3898574 ~89851l 38 bull98567 3898561+
_000386 _000383 _000l80 000376
0016 3905629 -000019 3905258 -000039 3904143 -000097 3902284 -000191 3898560 _000313 0018 0020
3905629 3905628
-000019 -000019
3905257 3905257
middot000038 -00003$
3904142 3904141
-000095 000094
3902282 3902280
000189 -000186
3898556 3898552
_000369 _000365
0025 3905628 -000018 3905255 -000037 3904138 -000091 3902274 000181 3898541 000355 0030 3905627 -000018 3905254 -0110036 3904135 middot000089 390228 _000115 3898530 _000344
0035 3905627 -000017 3905253 middot000034 3904132 -000086 39022(12 middot000170 38 9851 9 _000333 0040 3905626 middot000011 3905252 -000033 3904129 -000083 3902216 000164 3898507 000323 0045 3905625 middot000016 3905250 -000032 39 04126 middot000080 3902210 -000159 3898495 0middot00312 0050 3905625 -000016 3905249 -000031 3904123 -000077 3902244 000153 3898483 000301 0060 3905623 -000014 3905247 -000029 39 04117 middot000072 3902232 -000142 3898459 _0middot00280
0070 3905622 -000013 3905244 -000027 3904110 -000066 3902220 -000131 3898435 000258 0080 0090
3905621 3905620
-000012 000011
3905242 3905239
-000024 -000022
39 04104 3904098
-000061 _000055
39112207 3902195
_000120 000110
38 98411 38 98387
000237
0002 16 0100 39056 18 -000010 3905237 -0110020 3904092 middot000050 39021A3 -000099 3898362 000195 0120 3905616 -000008 3905231 -000016 3904079 -000039 39112118 000078 3898313 000153
011+0 3905613 -00006 3905226 -000012 3904066 middot000029 3902132 000058 3898263 000113 0160 3905610 middot000n04 39115221 -000001l 3904053 -000019 3902107 000038 1898213 000073 0110 0200 0250
3905606 3905603 3905592
-000002 000000 000005
39 05215 39(15209 3905191
middot000004 000000 000010
3904040 39 04026 39 03990
middot000009 000001 000025
3fh020lH 3902055 3901 988
000018 000002 000050
3898163 38 bull98112 3897983
000034 0middot00005 000101
0300 3905577 000010 3905110 000019 3903951 000049 3901 9 19 000097 38 97850 000196 0350 3905557 00001 4 39115144 000029 3903906 000072 3901841 000 145 3191712 000291 0400 3905529 000019 3905110 000031 3903853 000096 3901157 000191 3897566 000384 0450 0500
3905491 3905441
000024 000028
3905066 3905009
000047 000057
3903790 3903115
000119 000142
3bullbull01664 3bullbull 015i1
000238 000284
3897410 3897242
000416 000568
0550 3905375 000033 39 04938 000066 3903625 0001 64 3901 436 000329 3891058 000659 0600 0650 07BO 01 0
3905291 3905181 3905927 3904 99
000037 000042 000046 000051
3904848 3904731 39 04571 39 04336
000075 000084 000093 000101
3903516 39 03381 39 03202 3902949
000187 000209 000232 000254
390126 3901130 39 09203900636
000374 000419 000463 000507
3896856 3896628 38 bull96356 38 bull96009
000749 000839 000927 0middot01015
0800 3904446 000055 3903978 000110 3902511 000275 3900227 000551 3195539 001102 0850 0900 0950 1000
3903900 3903065 3901826 3900046
000059 000064 000068 000072
3903425 3902584 3901339 3899553
000119 000127 000136 000144
3902000 3901141 3899871 3898073
000297 000318 000339 000360
3899625 3898735 3197441 3895601
000594 000636 000611 000720
3894815 3893923 3192569 3890613
001188 001273 001357 001 440
1100 31942)5 000080 3893710 000160 3892195 000401 31189669 000801 3884611 001603 1200 1300
3184068 3867610
000088 000096
3883551 3867012
000116 000191
3882002 31 65500
000440 000478
39 79418 3162863
0Dn880 000955
3874252 38 57588
001160 001 911
1400 1500
3842097 3804138
000103 000110
38 bull 41559 3803592
000206 000219
3839947 3801954
000514 000548
3837260 37 99224
001 028 001 096
38 31887 3793163
002055 002193
Page 120
TABLE 13 (CONTINUEO
l( bull 00030 X bull 10040 X bull 00050 X bull 0060 )( 00080
T bull lot HE -H HE -H HE -H HF -H HE (K (JMOL) (JMOEI IJMOLE) (JMOLE) (JMOLEI (JMOLE) (lMOE IJMOLE) IJMOLEI tJMOLE)
0000 0001 0002 0003 0004
38948l2 3894852 38948l2 3894851 3894850
-000570 -000570 -000570 _000569 000568
3891116 3891116 3891116 3891115 389 111 4
-0bull 00740 -000740 -000740 -000739 -0007311
38117372 3887372 3887372 3887371 3887370
-000902 -000902 -000902 -000901 -000900
3883622 3883621 31=1 83621 38 83620 3A83619
_001058 -001058 00)05700056 _001055
876101 3876101 3876101 38 76101 38 76099
_001349 _001349 _001349 001 348 _001 347
0006 3894848 -000566 3891112 -000736 3887367 -000898 3883616 -001053 3876096 _001J44 0008 0middot010 0012 0014
3894845 3894841 3894837 38 94832
-000563 -000560 -000556 -000551
3891108 38 91104 3891099 38H093
-000732 -000728 -000724 -010718
3887364 3887359 3887353 3887347
-000A94 -000890 -000884 -000878
31113612 3883607 3A83601 31i83594
-001 049 -001044 -001038 _001032
3876091 3876085 3876079 3876071
001340 -0middot01334 _deg01 328 _001321
0016 3894827 middot000546 3891087 -000712 3887340 -000872 38835A7 001024 3876062 001 312 0018 0020
3894822 3894816
-000541 -000536
3891081 3891074
-010706 -010700
3887332 3887324
-000864 -000857
3A83578 3A83569
-001016 -001008
3876052 38 76041
_001303 0 middot01293
0025 0030
3894801 3894785
-000521 -000507
38 bull91055 38bull91035
-0006112 -000663
38bull 87302 3887279
-000836 middot000814
38 83544 3Abull 1I3517
-000985 -000959
38 76011 3875978
-0middot01265 _0middot01234
0035 3894769 -000491 389101 4 -000644 3887253 -000791 38834118 -000932 3875942 001201 0040 0045 0050 0060
38947~2 3894735 38947 18 3894683
000476
000460 _000444 000413
3890992 38 bull90970 3890948 3890902
-000624 000603 middot000583 000542
3887227 38 87200 3887173 38 8711 6
-000767 _000742 000717 _000666
3883457 3883426 3883394 3883327
000904
000876 _000847 _00(1787
3875904 ~875864 38 75823 38 75737
001166
001130 _001093 _001018
0070 3894647 -000381 3890855 -000500 3887059 -000616 38 tl 3259 -000 727 38 75649 _000940 0080 0090 0100 0120
3894611 3894575 3894538 3894465
-000350 -000318 -000287 -000226
3890807 3890760 38 bull90711 38 bull90614
-000459 middot000418 middot000377 000296
3887000 3886941 38 86881 3886761
-000565 000514 middot0middot00463 -000363
38 tl3190 3883120 38 83049 38 tl2905
-000667 -000607 -000546 -000427
3875559 38 75467 3875374 38 75186
_000862 000783 000705 000548
0140 3894391 middot000166 3890516 middota00216 3886639 middot000263 3882760 -000309 3874995 000392 0160 0180 0200 0250
3894317 3894242 3894167 3893976
middot000106 _000047
000011 000155
3890418 389031 9 389021 9 38 89968
000137 -000059
000019 000210
3886517 3886394 3886270 3885958
middot000165 -000068
000028 000266
3882614 3tl 82467 38 82319 3881946
-000192 000076
000039 000324
3874802 3874607 3874412 38 73918
_000238 000085
000067 000444
0300 3893782 000297 3889712 000399 3885640 000502 3881567 000606 3873418 000819 0350 0400 0450 0500
3893581 31193313 3893156 3892925
000438 000577 000116 000854
3889450 38 bull89180 38 bull88900 3888608
000586 000172 000957 001140
3885317 38bull84985 38 84644 3884289
000736 000968 001198 001427
38~113 3F1 bull807A9 3Abull tl 03A6 3A79970
000886 001165 001 44 1 001 715
38 72911 38 72395 38 bull 71869 38 71330
001191 001561 001928 002Z9J
0550 389Z679 000990 3888300 001321 3883920 001654 3879539 001 9S7 38 70775 002654 0600 0650
3892415 3892125
001125 001259
3887974 38876Z1
0015(11 001680
3883532 3883117
001878 002101
3879089 3A78613
002256 0025Z3
3870202 3869602
003013 003369
0700 0750
3891791 3891382
001392 001523
3887225 3886755
001857 002032
3882659 3882127
002322 002542
3878093 311117499
002789 003051
3868958 38 68241
003722 004072
0800 3890850 001654 3886161 002206 3881471 002758 3876781 003311 3867400 004418 0850 3890114 001783 3885373 002378 38 80622 002973 3875870 003569 38 66366 004761 0900 3889111 001910 38 tl4299 00254A 3879487 003186 3874674 003824 3865047 0middot05101 0950 1000
3887696 3885740
002036 002161
38 bull82822 38 bull80806
00276 002882
3877949 3875872
003395 003603
3873075 3870938
004075 004324
3863326 3861069
005436 005767
1100 3879565 002404 3814512 003206 38 69460 004008 3864407 004810 38 54301 006415 1200 1300
386901115 3852313
002640 002867
386391 8 3847038
003520 003822
3858751 3841763
004401 004718
3853584 3836488
005281 005734
3843Z511 38 25938
007043 007646
1400 3826513 003083 3821139 004111 3815765 005140 31110391 006168 3799642 008Z24 1500 37883n3 003289 3782842 004386 3777381 005483 3771 921 006579 3161000 008772
Page lZ1
TABL~ 13 (CONTINUED)
X bull 00100 I( bull 00150 )( bull 00200 )( bull 0n20 l( bull 00300
T -M HE -H HE -M HE -101 HE -H HE 11(1 IJMOLI) (JMOLEI IJMOLll IJMOLEI IJMOLE) IJMOLEI IJMOLrO IJMOLEI IJMOLEI IJMOLEI
0000 386A5118 -001f18 3849616 -00~2011 3830572 middot002692 31111442 00092 3792236 003416 0001 386851118 001618 3849616 -002206 3830572 -002692 3811441 middot001091 H 92236 003416 0002 0003
3868558 386ASo7
_001611t 001617
38 bull 4961b 38 49615
-00220 -002205
38 30571 3830570
-002691 -002690
3A11441 3811 4 3C1
_00)091 00309 0
]79223J 379i234
003416 _003414
0004 38685136 -001616 849613 middot002204 383069 -002689 3811 438 003088 3792232 0034 13
0006 386852 -001613 middot1849609 -002200 JIt3056 -002685 3811433 -00]084 H 92227 003408 0008 0010
3868547 3868541
middotOOlMIt -001602
]849604 3849596
-002195 -0021111
3830558 3830550
-002679 -002672
38114iJ6 38 11 417
-003078 middot003070
37 bull 92220 3792211
003402
0middot03394 0012 0014
3868534 3868525
001595 -0015ti7
3849588 38 bull 49577
middot002180 -1102171
38 30540 38 30529
middot0middot02664 -002653
3Amiddot11 407 38 113C14
-003061 -003 050
37921 9 3792186
003385 _003373
0016 3868515 middot001578 3849566 -0Cl2160 3830516 middot002642 3A1130 _003038 3792171 _003360 0018 0020 0025
3868504 38611492 3868458
-001568 _001557 001526
3849553 31t49538 384949b
-0U2149 0 02135 -0112098
3830501 3830484 3830437
-002629 _00261 4 002572
3811364 3811346 3111294
003024
003008 _002962
3792153 3792134 3792078
003345 _003329 003280
0030 3868420 0111490 3849448 002054 3830380 002522 311111231 _002908 3792111 0 003222
0035 38611371 -001452 3849393 middot002005 3830316 middot0024b5 3811159 _002845 37 91931 003154 0040 0045
3868332 386112A5
-001411 -001368
38 49334 3849270
-001952 -001895
38302116 3830169
-002403 -002336
3111111179 3~10992
-002175 -00700
3791843 3791746
_00]079 _002996
0050 3868236 -001324 3849203 middot001836 3830088 -002264 3810898 -0026 19 3791642 -002907 0060 3868133 middot001233 849062 -001 712 38 29912 -002113 3AI0694 -002444 3791 4 12 -002713
0070 386806 -001139 3848912 -001582 3829725 -001952 3810472 middot00256 3791161 002501 0080 38679 16 -001044 3848755 -001448 3829527 -001784 3810238 002059 3790892 002278 0090 0100 0120
3867803 3867689 3867457
middot000948 -000852 00065
3848595 3848430 3848093
-001312 -001174 000897
3829322 3829111 3828676
-001612 -001437 -0010
3A0999 31109738 311119211
-0Oi854 middot0Oj645 001 217
379060 3790315 3789701
002044
001804
001308
0140 3867220 -000467 3847748 -000618 3828228 -000721 3A08664 000780 ]71190611 000799 0160 3866981 middot000117 3847398 -000340 3827170 middot000359 311 08103 -000339 3788401 000283 0180 3866740 -000087 3847043 -00001 3827306 000004 3A07533 000104 37 87127 000238 0200 0250
3866498 38658115
000102 000570
3846685 38 45779
000216 000908
3826836 38256113
000367 001275
38116904 3805481
00550 001 669
37 117042 37bull 85295
000163 002086
0300 38652l4 001036 3844860 001598 3824431 002185 303981 002794 3783512 003421 0350 0400 0450
3864636 3863998 3863349
001499 001960 0Ol418
3843931 3842990 3842037
002287 002974 003656
3823205 3821965 3820710
003096 004004 004909
31102462 3A0095 37 99371
003922 000049 0011173
37111103 37 79873 3778023
004763 006106 007447
0500 38626117 002873 3841069 004335 3819439 005809 37 ~n800 007292 3776153 008783
0550 31162009 003324 3840085 005008 3818151 006703 37 96209 008405 37 74262 0010113 0600 0(51) 0700 0750
3861312 38605119 3859823 3858982
003772 004217 004657 005094
3839082 3838052 3836977 3835829
0115678 006342 007000 007654
3816843 38 15507 38 14127 38 12672
00759 1 008474 00 9349 010218
3794597 37 929S7 3791272 37 895J3
009511 0106 10 011 701 012784
3772348 3770406 37 6841 7 376635
011435 012749 014054 015349
01300 3858Gl8 005527 3834558 008301 3811095 011078 3187631 013857 37 64169 016634 0850 0900 0950
3856861 3855419 3853577
005955 006379 006798
3833095 38 31348 3829203
008942 009576 010203
3809327 3807276 3804828
011931 012714 013609
3755C9 37 83204 378 0455
014920 015972 017012
3761 793 37 59136 3756085
017906 019166 020412
1000 3851199 007211 3826524 010822 3801849 014432 3777176 01111040 3752509 021643
10 100 3844194 008021 38 189Z8 012034 3793664 016046 37 68404 020053 3743150 024055 1200 10300
38329 15 38153A8
008804 009559
38070eo 37bull8901
0132011 014337
3781247 37 62644
017608 0019112
3155420 37362110
022003 02388 0
3729600 3709925
026390 028639
1400 1500
3788895 3750079
0010280 010965
37 egt2027 37 22780
0154111 016444
3735165 3695487
020550 0219 17
3708310 36 68202
025675 027381
3681 464 3640927
030 79 1 032836
Page 122
TABlF 13 (CONTINUED)
X bull 00350 X bull 00400 X bull 00450 )( bull 0middotn500 )( bull 0middot05S0
T -H HE middotH HE middotH HE H HE middotH HE (K ~JMOLI) JMOLEI (JMOLE) ~JMOLE) IJMOLEI (JMOLEI (JMOUI IJMOLE (JIoIOLf) I JMOlEI
0000 3772966 -003676 3753637 middot003877 37 3U57 middot004027 37 h8JO 004130 J695360 004190 0001 0002
3772966 3772965
003676
003675 37gt3637 3753636
middot003877 0deg3876
3734257 3734256
004027 -004026
3714829 37 14828
004129 004129
1695360 36 bull95359
004190
004189 0003 0004
377293 3772962
_003674 003672
37 53635 3753633
-003875 -003874
3734254 3734252
-004025 -004023
3714827 37 1482)
-004127 004U6
36 95357 ]69535S
004188
004186
0006 3772956 -003668 37gt3627 middot003869 3734246 -004018 3714818 004121 3695348 _004181 0008 0010 0012 0014
3772948 3772939 3772927 3772913
-003661 -003653 middot003643 003631
375361 9 3753609 3753596 3753581
-003862 -003854 -003843 middot003831
3734238 3734227 3734214 37 34198
-004011 -004002 -003992 -003979
37148O 3714798 3714785 3714768
_004114 -004104 004093 004080
3695339 3695328 3695313 ]695297
_004174 _0middot04164 _004153 0middot04140
0016 3772896 -003617 3753564 n03811 3734180 -003964 37h700 -004065 3695277 _004125 0018 0020
3772878 3772857
-003602 -003584
3753545 3753523
003801 -003783
3734160 3734137
-003948 -003929
37147f 9 37 14705
-004048 -004029
369525S 3695231
004107
004088 0025 0030
3772797 3772725
003533
003472 37gt3460 3753383
003730 -003666
3734071 3733990
-003875 -003808
3714636 3714552
_003973 -0OJ905
369515 3695072
004030 _003960
0035 3772641 -003401 3753294 -003591 3733897 -003731 3714404 _003826 3694cJ70 003879 0040 3772546 -003321 3753193 -003507 3733790 -003643 3714342 -003735 3694853 _003785 0045 0050
3772441 3772326
-003232 -003136
3753080 37 gt2958
-003413 middot003311
3733671 3733541
-003546 -003439
3714217 37h080
-00]633003522
3694722 3694579
_0middot03680 _00356sect
0060 3772075 -002925 3752686 -003086 3733250 middot003200 3713772 -003272 3694256 _003306
0070 3771796 -002693 3752383 -002836 3732924 002935 3713426 002993 3693890 003014 0080 0090 0100 0120
3771496 3771179 3770847 3770150
-002446 -002186 -001917 _001359
n52054 3751704 3751338 3750563
-002568 -002284 -001 98q -001372
3732569 3732190 3731790 3730941
-002647 -002342 002023 001352
3713046 3712638 3712207 37112e8
-002688 _002363 -002021 -00300
3693487 369305J 3692593 3691607
_002693 _002350 _001 988 _001219
0140 37 69420 -000783 3749747 -0U0732 3730043 -000651 3710311 _000543 l69055J _000408 0160 3768665 -000195 3748900 -000076 3729107 000069 37U9290 000240 1689449 000434 01 80 0200 0250
3767892 37 67104 3765089
000401 001002 002524
3748030 3747142 3744863
000 59 1 001266 0029A l
3728143 3727157 3724621
000805 001552 003454
37U823sect 3707103 3704365
001041 001 857 003942
36M306 3687131 3684095
001298 002181 0middot04444
0300 3763027 004065 3742527 004723 3722015 005394 37014q2 006075 3680959 006766 0350 3760932 005617 3740150 006482 3719359 007356 3gt8560 00823M 3677755 009125 0400 0450 0500
3758811 3756667 3754500
007173 008729 010279
3737741 )735305 3732844
008249 010016 011779
3716665 3713940 3711186
009330 011307 013281
31955~4 312572 3~89528
010416 012600 014783
3674500 367120] 3667871
011506 013895 016284
0550 3752311 011824 3730358 013537 3708405 015250 386454 016962 3664505 018671 0600 0650 0700 0750
37 50097 3747853 3745563 3743197
013361 014888 016406 017913
3727846 3725303 3722711 3720044
015286 017027 018756 020474
370sect596 3702754 3699864 3696896
017211 01 9 162 021102 023029
318330 36t0210 31701 36 73704
019132 02 293 023442 025577
36 61107 3657b7c 3654185 3650620
021050 023419 025776 028119
0800 3740709 019408 37172sect4 0 22177 3693805 024941 370364 027697 3646931 030444 0850 3738031 020889 3714274 0 23866 3690525 026837 3666784 029798 3643052 032751 0900 3735072 022356 3711015 025539 3686966 028714 3662926 031 88 0 36 38t96 035036 0950 1000
3731722 3727847
023807 025240
3707366 3703194
0 27194 028828
3683018 3678550
030572 032408
3658680 36 53917
033940 035976
36343sect 3629296
037298 039533
1100 3717903 028048 3692666 0l2033 3667440 036006 3142225 03q96A 3617024 043917 1200 1300
3703789 36fI3S80
030769 033389
3677988 3657246
035137 03812A
3652199 3630925
039494 042853
3126423 360461A
043837 047565
3600662 3578326
0middot48166 052261
1400 10500
3654629 361364
035897 038279
3627806 35 1f6414
0 40989 04370q
3600997 35 59179
046068 049124
35 74204 3531 960
051132 054523
3547426 3504757
056181 059906
Page 123
TA8LE 13 (CONTINUEDI
l( bull 00600 )( bull 00640 )( bull 00650 )( bull 0117(10 )( bull 00750
T (Kl
middotH (JMOL1
tolE (JMOLEI
middot101 (JHOLEI
HE (JMOLEI
middot101 (JMOLEI
HE (JHOLEI
11 (JHOLF1
HI (JMOLEI
104 (JMOLE)
1111 tJMOLEI
0000 0001 0002 0003 0004
]675852 3675852 3675851 3675849 3675847
004212
004212
004211
004i110
004208
]660221 ]660220 36b021 9 3660218 36b0215
middot004205 middot004204 -0042n4 middot004202 -004201
]656310 36 56309 36 56308 3656306 3b 56304
004200 -004199 004199 004197 _004195
36 3671i 36 3675 3636734 3636732 36 36730
004155
004155
004154
004153
004151
HlI7133 ]61713Z 3617131 ]61712 617127
004083
004082
004082 _004080 004078
0006 0008 0010 0012 0014
3675840 3675831 3675819 36758 04 3675787
-004203 -004196 -0041 8 6 -004175 -004161
36deg0208 3660199 1660186 600171 3660154
middot004195 middot004188 middot004178 -0114167 -004153
3656297 365628S 3656275 3656260 36 56242
-004190 -004183 -004173 -004162 -004148
3636723 36$67 13 3636700 3636684 3136666
004146
00138 -004129 -004117 -004103
36 17120 3617109 3617096 3617080 3617061
004073 _004065 _004056 _004044 _0middot04029
0016 0018 0020 0025 0030
3675717 3675744 3675719 3675644 36 75554
-004145 004128 -00410B -004049 003978
3660133 3660110 3660084 ]660008 ]659911
-004137 middot004119 middot004099 -0114040 003967
3656222 3656198 3656172 3656095 3656002
middot004132 00411 4 -004094 middot004034 -0D3901
3636645 3136621 3636594 36 36515 31364 19
-004087 004068 004048 00]987 _00]914
3617040 3617015 36 16i88 36169 06 3616807
004013
003995
003974 _003912 _003837
0035 0040 0045 0050 0060
]675448 ]675327 36751 9 1 ]675042]6747 04
-003894 -003798 -003691 -003572 -003304
3659806 ]6I9682 3659542 3659388 3659 039
-003882 -003784 middot003675 -003554 -003280
3655892 3655767 3655627 3655471 3655120
middot003876 -003778 -003668 -003546 -003270
3636306 3t-36177 3636~]1 3635871 31)55(17
_003826 -003727 00]614 middot00]490 -003207
3616691 36165511 3616409 3616243 3615867
_00]749 _003647 -0middot035]] _0middot03406 -00]U7
0070 0080 0090 0100 0120
]6743i0 3673896 36734~7 ]6 7 2948 36 7 1899
-003000 -002666 002306 001925 -001113
3658641 3658201 1657723 3657214 165611 5
-002967 ~01I2623 -0112251 -001855 -001009
3654719 3654274 3653792 3653217 36 5UM
-002956 -002609 -002234 0011135 _00098 1
3635090 3634626 31341~1 36$35S1 332412
-002884 002525 _002136 -0017c1 _0On 828
3615434 3614953 3614427 3613863 3612637
002785 _0024 16 002014 _001583 000654
0140 0160 01 80 0200 0250
3670772 36695138 36613358 3667093 3663814
-000250 000648 001574 002520 004956
3654932 3653685 3652388 3651051 3647581
middot0001011 0(10834 (101 81)6 002803 005314
36 50970 3649707 3648394 3647040 3643522
-000070 000882 001 866 002875 005479
3631147 36 Z98 10 36 l84 1i 326974 36u~3222
0On129 001133 002173 003242 006011
611307 3609896 360842Z 36 06896 36029 15
000346 001399 002494 00]6210middot06549
0300 0350 0400 0450 0500
36604 19 3656946 36534 14 3649835 3646215
007464 010018 012597 0151 89 011784
3643983 36middot0296 3636544 36 32741 ]628893
008027 010734 013471 016223 018981
3639873 363613] 3632327 3628467 3624563
008169 010 913 013689 016482 019280
3119322 315319 3111240 3117103 3602916
0011878 011 8 11 014781 017172 020171
3598766 3594503 3590155 3585741 3581273
009592 012 109 011172 019059 022258
0550 0600 0650 0700 0750
3642560 3638869 3635139 3631357 3627495
020376 022962 025539 028 102 030651
3625007 36 21083 361711 9 3613101 36 09 002
021737 024488 027229 029957 0 32670
36 206 19 3616638 3612615 3608538 36 04379
022017 024868 027650 030420 033173
31)986115 35 9441 3090099 3085728 3SIJ1275
02171 026767 029753 032727 035685
35767511 3572198 3567593 356292i 3558 182
0middot25459 02Sb57 031 15 47 0middot]5024 038 185
0800 0850 0900 0950 1000
3623508 3619331 361878 36100]9 3604617
033182 035692 038180 0 40643 043071
3604177 3600363 35i5672 3590597 3585010
035364 038037 0 40687 0 43309 0 45903
3600096 3595622 3590872 3585738 3580092
035908 038622 041312 043975 046607
35 76695 3071 925 35b68S0 3obI451 3555512
038624 04 1540 044430 047293 050123
3553307 3548242 1542901 3537179 3530948
041326 04444 047535 050595 053622
10100 1200 1300 1400 1500
35 9 1837 35149 15 355201 3520665 3477572
047851 052480 056941 061212 065271
357698 3554330 3531042 3499269 3455838
050988 0 55920 0 60673 0 65223 0 69549
3566664 3549185 3525792 3493922 3450406
051771 056778 061604 066225 070617
35 4 15 08 35 23472 3499502 3407198 3bullbull c32C9
055674 061059 066249 0 7 1219 075943
3516369 3497716 3473330 3440494 3396133
0middot59561 065322 070875 0 761 93 08149
Page 124
TABLE )3 (CONTINUED
l( bull 00800 X bull 00900 X bull 01000 X 0100 X bull 01200
T -H HE -H HE -101 F -p ME _101 ME (1lt) (JMOLFI JMOlE) (JMOlE (jMOLE IJMOLE IJMOLEI (JMOL (JMOLE IJMOLE IJMOLEI
0000 35 975(14 middot003984 3558178 middot00371R 3518774 middot003374 3479308 002968 3439792 _00~512
0001 0002 0003 000 4
359750 4 35 975 02 35 975nl 35 97498
middot003984 003983 003981 _003980
3558177 3558176 3558174 3558171
middot003717 -0037 17 -003715 -0U3713
3518773 35 18772 3518770 3518767
middot003374 003373 003371 003369
3479307 3479306 3479304 34 79301
002967
002967
002965
002963
34 39792 )43979( ~43978l1 34 39785
002512
002511 _002~10 002508
0006 3597490 middot003974 355EH64 -00370R 3518759 -003364 34 79292 -002957 34 39777 0middot02502 0008 0010 0012 0014
3097480 35 97467 3597450 35 974~1
-003966 -003957 -003944 -003930
3558153 3558139 3558121 35 58101
-003700 -003690 -0113677 -0113663
3518748 3518733 3518715 3518694
-003356 middot003346 -003333 -003318
3479281 3479215 3479247 3479225
middotU02949 -002939 -002926 -0029 11
l43976 )439749 34 39729 3439707
002494 _00lt483 -0middot0~411 002456
0016 35 97409 -003914 3558078 -003646 3518670 -003301 34 79260 002894 34 39681 _deg02438 0018 0020 0025 0030
359 73R3 3597305 35 97272 359 7170
-003895 _003874 _003812 -003736
3558051 3558022 3557934 l557828
-0113627 -003605 -003542 middot003464
3518642 3518611 35 18520 35 18410
-003282 -003260 003195 003116
3479171 3479139 34(9045 3418929
-00(1874 -002852 002787 -002707
3439651 34 396 18 3439520 34 39401
_002418 _0023Y6 _002330 002249
0middot035 3597051 middot003646 3557703 -003372 3518279 -003023 34 78794 -0026 12 34 39260 _002152 0040 35969 14 -003543 3557559 -003267 3518129 -002915 34 786 38 -002502 34390915 _002041 0045 0050 0middot060
3096760 3596590 35 96202
-003426 -003297 -003003
3557398 3557218 3556809
-003147 -003014 middot002709
3517960 3517772 3517343
-002793 -002656 -002344
34 784102 ]47826 34778 18
-00378 -002239 -001 9 19
34389 10 3438713 3438248
-001 9 15 ~001774 _001449
0070 35 917o6 -002663 3556336 -002357 3516845 001980 3477298 _001 546 34 37706 _001067 0080 0090 0100 (l120
3595256 35 947 11 35 9413 3592844
-002284 0011170 001425 -000462
3555804 3555221 3554590 35)3209
-0111960 -001525 -001055 -000030
3516284 3515666 3514995 3513519
-001568 -001115 000623
000458
3476709 34 76059 34 75351 34737A7
-001122 000052 -000141
000988
34 37092 34 36411 34 35669 34 34021
_000633 000150
000378 001552
01 40 3591451 000579 3551696 001088 3511893 001644 347204 002237 3432188 0028~7
0160 3389969 001680 3550078 002277 3510147 002914 34701R6 003582 3430203 004270 01 80 0200 0250
35684]1 35 86808 3582602
002826 004010 007094
35 48376 3546607 3541961
~ 004S14 008198
3508303 3506380 -3501309
0middot04252 005644 0~09313
34 b8206 34 661 35 3460653
005004 00492 010432
34 28 093 3425880 34 20001
005772 0middot07349 ~1l547
0300 3578208 010308 1537088 011745 ]495969 013181 3454858 0146 08 3413762 016021 0350 0400 0450
3573687 3369072 3564385
013608 016960 02031+1
3532060 352691 8 3521688
015401 019125 0 228119
3490444 3484784 3479020
017182 021269 025409
3448846 34+2677 34363116
0lR946 023387 027894
3407273 3400612 3393791
020685 025472 030339
0500 3559637 023738 3516387 026676 3473172 029578 34ii9997 032441 3386869 035257
0550 3554838 02739 35 11025 030472 3467254 033764 3423529 037010 3379855 040204 0600 3549992 030538 3505609 034270 3461274 037955 34169A9 041589 3372762 0middot45165 0650 0700 0750
3545097 3540142 3535101
033930 037309 040672
35(01403494605 3488981
0J8062 0 41843 0 45607
34 55233 3449123 3442920
042143 046320 050482
3410383 341137Q1 33 96923
046167 050738 055293
3365594 3358345 335099)
050131 050090 060035
0800 3529933 044015 340 83227 0+9350 3436584 054622 3390008 059827 3343505 064959 0850 0900
3524573 3518938
047333 050624
3477281 3471060
0 53067 0 56754
3430055 3423250
058735 062816
3382899 33 75514
064332 06e804
33351119 3327857
069854 074713
0950 3512922 053R83 3464460 0 60401 3416068 066859 3367711i3 073236 3319520 079531 1000 3506400 057106 31+57357 0 64020 34 08387 070861 3359496 077622 3310689 084300
1100 3491247 063430 3441059 0 7 1113 3390950 078717 334 0924 086237 329098b 093670 1200 1300 1400 1500
3472100 3447128 34138 10 3369028
069566 075482 081147 086534
3420805 3394785 3360506 3314884
077996 0 84634 0 90992 0 97038
3369593 3342529 3307291 3260833
086343 093699 100747 107449
3318468 3290363 3254171 3206878
094603 102674 1104 08 117764
326743) 323829i1 3201148 3153024
102771 1011554 119971 1279 77
Page 125
TABLE 13 ICONTINUED
lC bull 01300 lC bull 01400 X bull 01500 lC bull 01600 lC bull 01800
T -H HE -H HE -H HE -H HE _H HEIKI IJMOLE IJMOlE IJMOLEI IJMOLE IJMOLE IJMOLEI IJMOLE 1JMOLE I IJMOLEI IJMOLE)
0300 3372687 017413 3331638 018779 3290622 020111 3249642 021 408 3167814 023869 0350 336570 022394 3324222 024067 3282756 02569 32413l~ 3158645 0303070~~860400 3358565 027519 3316572 029524 3274627 03147 3232734 O 3 82 U 49121 0370140450 3351242 032740 3308743 0 35091 3266299 037386 32 t 3912 039624 313933 0439050500 3343192 038021 3300771 0 40731 3257811 043378 32 14914 0415963 3129330 050923
0550 3336238 043341 3292683 0 46417 3249193 049427 3205772 052368 3119154 058027 0600 3328596 048681 3214495 052130 3240466 055509 31bull 96509 05815 3108833 0651900650 3320871 054028 3276218 057856 3231640 061608 1 87138 065284 3098385 0723860700 3313058 059373 l267846 063581 3222712 067711 31middot776~9 071760 3087812 0middot79i990750 3305140 064704 3259363 0 6295 3213668 073804 3168057 078230 3077104 0middot86810 0800 3297079 010014 3250733 074989 3204473 079979 3158299 084681 3066231 094008 0850 3288818 075296 3241902 080654 3195073 085924 314834 091104 3055144 1011780900 3280282 080540 3232793 086281 3185395 091931 31 38090 091488 3043773 1083080950 3271311 085741 3223311 0 91863 3175344 097890 3127473 103823 3032031 115388 1000 3261969 090891 3213340 0 97391 3164807 103794 3iU372 110101 3019808 122406
1100 3241139 101011 3191388 108256 3141738 115402 3092188 122446 29 9340 1036214 1200 3216498 110843 31065660 118816 3114925 126686 30middot64296 134451 2963367 1middot496501300 3186321 120334 3134452 129012 3082690 137583 30310]6 146047 2928067 162633 1middot400 3149228 h29431 3095413 1 38787 3042708 148032 2990114 1057166 28 85274 1 7508710500 3099275 138086 30 45634 1 48086 2992106 157974 2938691 167749 2832218 186942
TABLE 13 ICONTINUED)
lC bull 02000 lC bull 02250 lC bull 02500 lC bull 0~750 lC bull 03000 HET -H -H HE -H HE -H HE -H HE
11( IJMOLE IJMOLEI IJMOLEI IJMOLEI 1JMOLE 1 IJMOLEI 1JMOLE I IJMOU IJMOLE IJMOLE 0300 3086192 026125 2984509 028600 2883270 030630 2182540 032152 2682380 033103 0350 3076190 033094 2973502 036195 28 71296 038815 2169633 040893 2668572 0423680400 3065773 040385 2962000 0 44185 2858742 047469 2156058 050180 2654004 052260 0450 31550~7 LIl 2950113 0 52455 2845736 056461 27 41960 059864 2638842 062610 0500 3044049 055579 29 37921 060926 2832369 165698 2727446 069141 2623204 013302
0550 3032858 063364 2925485 069539 2818712 075113 271252 080034 2607178 084249 0600 3021496 071225 2912844 0 78251 2804815 084653 2697460 090382 25908~9 095385 0650 3009986 0 79 135 2900025 0 87031 2790710 094283 26 82088 100140 2574210 106655 0700 2998333 087069 2887042 095851 2776415 103968 26 66500 111372 2557346 1middot180170750 29amp6531 095011 28bull 73890 104688 2761931 113682 26 50701 121947 2540247 129436
0800 297455 102942 2860548 113521 2747241 123401 2634678 132537 2522906 140881 0850 2962356 110849 2846974 122334 2732307 1033105 2618399 143117 2505295 15232 0900 2949870 118716 2833107 1 3110 2717072 142173 26018 10 153665 2487366 163740 0950 2937011 126531 2818865 139830 2701460 152388 2584841 164161 2469051 175105 1000 2923675 134281 2804149 148484 2685377 1061933 25 67402 174585 2450267 186397
1100 2895075 149537 2772820 165529 2651340 180745 25306T9 195143 2410878 208680 1200 2862897 164390 2737991 10 82134 2613880 199083 24 90606 215195 U 6821g 230428 1middot300 2825511 1078747 2698147 198194 2571536 216828 24 45718 234608 32091 251493 1400 27 80917 192525 2651182 213611 25 22276 233868 23 94238 253257 2267110 271736 1500 2126237 205643 2594485 228294 24 63577 250102 2333551 271027 2204447 2 91030
Page 126
TABLE 14
THE VAPOR PRESSURE 0 HE3 - HE4 50LUTrON~
P (TORR)
~ 00001 00002 00005 0middot0010 00020 00030 00040 10010 00060 00080
110
0300 2102-006 4204_006 1051-001 2101-005 4200-005 6295-005 8386_005 1047-004 1251-004 1670-004 0320 0340 0360 0380
3962-006 6961_006 1153-005 1817-005
7923-006 1392_005 2304_00S 3630-005
198a-005 347 _005 5718_005 9068_005
3919-005 6952_005 1151-004 1812-004
7910-005 1389_004 2298004 3617_004
1185-004 2080_004 3442_004 5417_004
1H9_004 2770_004 4~82004 7209-004
1971-004 3457_004 I717-004 1I991-004
2362-004 4143_004 6849_004 1077-00l
3140-004 s505-004 9099-004 1 431-003
0400 2746-005 5482-005 1369-004 2734-004 5457-004 8170-004 1087-003 t 356-003 10624-003 2156-003 0420 4007-005 7988-005 1992-004 3978-004 7937-004 1188-003 1581-003 1972-003 2361-003 3middot134-003 0440 0460 0480
5680-005 7865-005 l070-0il4
1middotU9-OO4 1555-004 2098-004
2810-004 3860-004 5180-004
56g8-004 76 4-004 1031-003
10 119-003 1534-003 2053-003
1614-003 2294-003 3070-003
2227-003 3052-003 4082-003
2middot777-003 3805-003 5090-003
3325-003 4555-003 092-003
4413-003 044-003 082-003
0500 1437-004 2783-004 681 8-004 1353-003 2691-003 4022-003 5347-003 6665-003 7976-003 1058-002 0520 0540 0560 0580
1916-0Q4 2550-004 3403_004 4569_004
3645_004 4734_004 6120_004 7903_004
8829_004 1128_003 1426_003 1789_003
1745-003 2217_003 2781-003 3451-003
3463_003 4386_003 5479_003 6761-003
5173-003 6545_003 8163_003 1005-002
687middot_003 8I9Z_003 1083_002 1333_002
8566-003 1083_002 149_002 1659-002
1025_002 1295_002 1613_002 1983-002
1359-002 1717_002 lU7-002 2 626-002
0600 6182-004 toZ2-003 2233-003 4247-003 8258-003 1225-002 122-002 2016-002 2409-002 3188-002 0620 0640
8434-004 1159-003
1328-003 1733-003
2779-003 3454-003
51 92-003 63U-003
9998-003 1202-002
1478-002 1769-002
1953-002 2333-002
2middot42middot002 J 1I94002
2897-002 3451-002
830-002 4558-002
0660 0680
1599-003 2211-003
2274-003 2middot998-003
4297-003 5356-003
7662-003 9277-003
1436-002 1709-002
2103-002 2485-002
2765-002 3258-002
3425-002 4026-002
4080-002 4789-002
5380-002 305-002
0700 304-003 3964-003 6691-003 1123-002 2026-002 2924-002 31117-002 4705-002 5588-002 1340-002 0720 0740 0760 0780
4205-003 5759middot003 7832-003 1057_002
5250-003 6951003 9183_003 t209_002
8381003 1052-002 1323_002 1665_002
1359-002 1646-002 1997-002 2425-002
2396_002 2829-002 3337_002 3936_002
3427-002 4005-002 4671_002 5439_002
4452_011 2 51 74_002 5996_002 6934_002
5472-002 6331-002 7315-002 8420-002
6486-002 7494-002 8626_002 9898_002
8 497-002 188-002 1 123- 00110 283-001
0800 143-002 1584-002 2096-002 2947-002 4642-002 6328-002 8004-002 9671-002 1133-001 1462-001 0820 0840 0860 0880
1813-002 2459-002 3199-002 4125-002
2063-002 2671-002 3434-002 4383-002
2U5-0OZ 3306-002 4136-002 5157-002
3585-002 4361-002 5304-002 6443-002
5477-002 6 463-00ii 7629-002 9005-002
7358-002 8553-002 9941-002 1middot155-001
9228-002 10063-001 1224-001 1409-001
1109-001 1270-001 1453-001 1661-001
1294-001 1 475-001 1680-001 1 911-001
1661-001 1883-001 2middotUI-001 2 4011-001
0900 I271-002 5554_002 6404-002 7816-002 1063-001 1343-001 1121_001 189-001 2172-001 2118-001 0920 0940 0960 0980
6677-002 8390-002 1046-001 1294_001
6988_002 8729middot002 1083_001 10334_001
7917-002 9742-002 1193-001 1453_001
9462-002 1143-001 1376-001 1652-001
1254-001 1478-001 1741-001 2047-001
1560-001 1812-001 2103-001 2440_001
186middot-001 21 4-001 2464-001 2831-001
216middot001 2474-001 2823-001 3220-001
2468-001 2802-001 3180-001 3607-001
3065-001 3 453-001 887-001 4374-001
1000 19-001 1632-001 1761-001 1976-001 2403-001 228-001 3251-001 2671-001 4089-001 4 919-001 1050 1100
2579-001 4028-001
2631-001 4089-001
2786-001 4273-001
3044-001 4578-001
3557-001 5186-001
4067-001 5790-001
4575-001 6392-011
5080-001 6990-001
5583-001 7585-001
579-001 8 166-001
1150 10200
6081-001 8907-001
6153-001 8990-001
6367-001 9U-001
6724-001 9650-001
7435-001 1047middot000
8142-001 1129middot000
8845-001 1210middot000
9545-001 10 291000
1024middot000 1312middot000
1162middot000 1 532000
1300 1768middot000 1779000 1811middot000 1865000 1971middot000 2077middot000 213000 2288middot000 2393middot000 2601000 1400 1500
3220+000 5468+000
3234middot000 5485000
3274middot000 5534+000
3341000 5616+000
3475+000 5779000
3608+000 5942000
3741+000 610middot000
3813+000 6265middot000
4005middot000 6 426000
4266middot000 47000
Page 127
TAeL[ 14 (CONTtNU[OI
p ITORRI
00100 o0150 00200 00250 00300 00350 00400 004S0 00500 00550 ~
110
0300 2082-004 3100-004 4096-004 5069-004 6015-004 6933-004 182Z-004 11681-004 9510-004 1031-003 0320 3913-004 5819_004 1682-004 9499-004 1126-003 1298-003 1463_003 1624-003 1718-003 1921-003 0340 6858_004 1019_003 1344_003 1661_003 1969_003 2261_003 2556 003 183S-003 3104_003 363-003 0360 1133-003 1682_003 2218_003 21~9-003 3245_003 3136_003 4211_003 4669_003 5112_003 5538-003 0380 1181_003 2643_003 3483_003 4299_003 5093_003 5861_003 6605_003 1324_003 A017_003 e 68S_001
0400 2684-003 3980-003 5243-003 6471-003 1662-003 8811-003 9935_003 1101-002 1206-002 )306-002 0420 3900-003 S180-003 761Z-003 9392-003 1112-002 1279-002 144Z-002 598-1)02 1150-00Z ]895-002 0440 5490-003 8135-003 1071-002 1321-002 1564-002 1199-002 2021-002 2247-002 260-002 2 666-002 0460 1518-003 10114-002 1466-002 1808-002 2140-002 2462-001 27H-002 3015-002 3367-002 648-002 0480 1005-002 1489-002 1959-0OZ 2416-002 2859-002 3289-001 3706-002 4109-002 4499-002 4875-002
0500 1315-002 1948_002 2562-00Z 3160-002 3739-002 4302-002 4141_002 50314-002 5885-002 6378-002 0520 1690-002 2501-002 3289_002 4056-002 4800-002 5522-002 6222_002 tIe99-002 7555-002 8189-002 0540 2134_002 3158_002 4153_00 2 51Z0-002 6059_002 6970_002 185middot_002 8710-002 9538_002 1 034-001 0560 2656-002 3928_002 5165_002 6367-002 1535-002 8668-002 9767_002 1083-001 1186-001 lch-OOI 0580 3261-002 4821_002 6338-002 1812-002 9245_002 1063-001 11 98_001 1329-001 1456_001 1 519-001
0600 3958-002 5847_002 7685-002 9471-002 1121-001 1289-001 1 53-001 1611-001 1765-001 )914-001 0620 4152-002 7016-002 9217-002 1136-001 1344-001 1546-001 1142-001 1931-001 2117-001 ZZ96-001 0640 5653-002 8middot331-002 1095-001 1349-001 1595-001 1835-001 2068-001 2294-001 2513-001 2 726-001 0660 66o6-002 98Z1-002 1289-001 1587-001 1871-001 2159-001 2433-001 2~99001 2 957-001 3 208-001 0680 7803-002 1148-001 1505-001 1853-001 2191-001 2~20-001 2114(-001 3150-001 3451-001 3144-001
0700 9073-002 1332_001 1146-001 21 48-001 2539-001 2920-001 3290-001 3649 001 3998-001 4337-001 0720 1049-001 1537_001 2011-001 2473-001 2923-001 3360-001 3785_001 41 99-001 4600-001 990-001 074 0 1206_001 1762_001 2304-001 2831-001 3344_001 3843_001 4328_001 4800-001 5259-001 5 705-001 0760 1380-001 2011-001 2625_001 3223-001 3805-001 4371-001 492Z-001 5451-001 5979-001 6 86-001 0780 1573-001 2284_001 2977_001 3651-001 4307_001 4946_001 51368_001 61 73 001 6762-001 7335-001
0800 1787-001 2585-001 3362-001 4111-001 4855-001 5572-001 6270-001 tI 950-00l 7612-001 8 255-001 0820 2024-001 2914-001 3782-001 46Z6-001 5449-001 6250-001 7030-001 7190-001 8530-001 9Z50-00l 0840 2286-001 3276-001 4240-001 51 78-0111 6093-001 6 984-001 7852-001 86911-001 9521-001 1032-000 0860 2577-001 ]612-001 4139-001 5178-001 6790-001 7717-001 8739-00 9~16-001 1059-000 1middot148-000 0880 2900-001 4107-001 528Z-001 64C8-001 7545-001 8633-001 9694-001 1073-000 1114-000 1 272000
0900 3258-001 4583-001 5874-001 71 33-001 8360-001 9556 001 1012000 186000 12970000 1405000 0920 3656-001 5105_001 651 9-001 1896-001 9240-001 1055000 118l000 1307middot000 1 4290000 1 547000 0940 4097-001 5619_001 7220-001 8123_001 1019000 116200(1 130Z000 14311000 1570000 1100000 0960 4588 001 308_001 7984_001 9619-001 11210000 1217000 1429000 1571000 1122000 ]863000 0980 5133-001 6998_001 881 6-001 10590000 1232000 14010000 11566000 727middot000 1884-000 2 037000
1000 5739-001 7155-001 9721-001 1164000 1351000 1534000 1112000 1887middot000 2051middot000 2 223000 1050 1566-001 9990-001 1235middot000 1466middot000 1692000 1912000 2121000 2middot33middot000 2543middot000 2143000 1100 9935-001 1281000 1561+000 1835middot000 2103000 2365-000 2620000 2810middot000 3115000 3354-000 1150 1299-000 1635middot000 19640000 228Smiddot000 2599middot000 2906middot000 3206000 3500middot000 3787middot000 4 068000 1200 1690middot000 2079000 Z460middot000 2832000 3196000 3552middot000 3900000 4242-000 4576middot000 4 902000
1300 2801 000 331 4000 3810middot800 4295000 47nmiddot00O 5237middot000 5o93middot000 6140000 6578middot000 1008000 1400 4526middot000 5165000 5791000 6404-000 7006-000 7596middot000 8175000 8743middot000 9300000 9846000 1500 7064middot000 7848middot000 8618-000 9373middot000 1011middot001 1084001 11560001 1226middot001 1295middot001 1middot36Zmiddot001
Page 128
TABLE 14 ICONTINUED
P ITORR
00600 00640 00650 00700 00750 00800 00900 01000 01100 01200 ~ 00
0300 1107middot003 10166003 1181middot003 1251003 1318middot00l 1382-003 1tSOOmiddotOOl 606middot00l 1700middot003 1 183-003 0320 2069003 211900l 2206003 2337middot003 2 46200l 2582_00l 2804_003 3003003 3182003 33l9003 0340 3611003 3803_00l 3850003 4079003 4298_003 4507003 4896_003 5241-003 556100l 1841-00l 0360 5948 003 6264003 6341003 6718003 7080_003 7425_003 8069003 8652003 917600 3 9 644003 0380 93~8_003 9824_003 9946_00 3 1054002 1111-002 1165_002 1267002 1359-002 1442_002 i 517-002
0400 1403-002 10418-002 1496-00Z 1586002 1 1171-002 1153-002 1907002 2047002 2 174-00Z 2 288-002 0420 2036-002 215middot002 2171-002 2301-002 2426middot002 2546-002 2770middot002 l975-002 3161-002 329-002 0440 2864-002 301 7002 3054-002 323a-002 3414-002 3583002 3901-002 41 9Z-002 457middot002 bullbull696-002 0460 3920-002 4130middot002 4181-002 4433-002 4675-002 4908-002 5346-002 5747-002 6114middot00Z amp447-002 0middot480 52~8-002 5520-002 5589-002 5926-002 6251-002 6564-002 71 52-002 769]-002 8189-00c 8 640-002
0500 6854middot002 7223middot002 731 4-002 7757-002 8183-002 8594-002 9369_002 OOA-OOI 1074-001 1 134-001 0520 8802002 9277002 9393-002 9964-002 1051-001 1104_001 1205-001 1297-001 1382-001 1460-001 0540 10 112middot001 J 172-001 1186-001 1259-001 1328-001 1396-001 1523middot001 ~640-001 1749001 1848- 001 0560 13113-001 458_001 1bullbull76001 1566-001 1654_001 1738_001 1891_001 044001 2180-001 2306-001 0580 1697-001 J 790-001 1812-001 1923-001 2031-001 2134-001 2331-0b1 2513-001 2682-001 2837-001
0600 20-8-001 21 70-001 2198-001 2333-001 2464-001 2590-001 2829_001 3052-001 3258-001 ]449-001 0620 2469-001 2604-001 2637-001 2799-001 2 956-001 3108-001 3397_001 3666-001 3915-001 4147-001 0640 29~2-00l 3092-001 3132-001 3325-001 3512-001 3693-001 4038-001 4359-001 4658-001 4 935-001 0660 3451-001 640-001 3686-001 3914-001 4135-001 4349-001 4756-001 5137-001 5491-001 5821-001 0680 4028-001 4249-001 4303-001 4570-001 4829-001 5079-001 51556-001 600]-001 6419-001 6 807-001
0700 4666-001 4923-001 bullbull 986-001 5295-001 5596-001 5887-001 6442-001 6962-001 7448-001 901-001 0720 5369-001 5664_001 5737-001 6094-001 6440-001 6776-001 741 1001 8018-001 8581-001 9 106-001 0740 6139_001 6476_001 6560-001 6968-001 7365-001 7750_001 8485_001 ~175-001 9822-001 1043 bull000 0760 6979_001 7363_001 7457_001 7922-001 8374_001 8812_001 9650_001 1044000 1118000 101870000 0780 7892-001 8326_001 8433_001 8959-001 9471_001 9967_001 10920000 101 810000 12650000 13440000
0800 88A2-001 9310-001 9491-001 10080000 10660000 11220000 12290 000 13300000 14250000 15140 000 0820 9951-001 10500000 10630000 11 300000 1194000 12570000 13770000 14900000 15970000 1697middot000 0840 10 11 00000 1171 0000 1186middot000 12600000 13320000 14020000 15360000 16630000 17820000 18950000 0860 1234middot000 13020000 13190000 1401middot000 14810000 15580000 17080000 1middota49deg000 19820000 2100000 0880 1030000 14420000 1461 0000 1551 0000 16400000 17260000 1891+000 2040000 21950000 23340000
0900 11510 0000 5930000 16130000 17130000 18100000 19050000 20870 000 2600000 24230000 25770000 0920 16630000 J753middot000 17760 000 1885middot000 1 9920000 20960000 22970000 24810000 26660000 28360000 0940 18260000 19250000 19490000 20690000 21870000 23010000 25200000 272~0000 29250000 31120000 0960 2001+000 21080000 21350000 22660000 23940000 25180000 2 bull 580000 29850000 32010000 3~OoOOO 0980 21870000 2304 0000 2333 0000 24750000 2614 0000 27490000 30U000 32A o OOO 3~9000 31170000
1000 2385000 2512+000 25430000 2698000 2848 0000 2990000 3279000 548000 38040000 40470000 1050 29390000 3093000 31310000 33180000 35010000 36790000 40230000 43510000 46630000 4 9590000 1100 31)87000 3771 0000 38160000 40390000 42510000 4471 0000 488~0000 52750000 I6500000 60070000 1150 43430000 45590000 4612000 4850000 51330000 53840000 5871 0000 336deg000 6780 0000 72040000 1200 5222000 54140000 55360000 58~2deg000 61420000 6436middot000 1005000 75490000 80690000 85660000
1300 74t90000 77600000 7842+000 8246000 86420000 90310000 97840000 10l1deg001 11200001 11860001 1~00 10380001 10800001 10910001 11 420001 11930001 12430001 13390001 14320001 15210001 16070001 1500 14~90001 1481001 1494001 1580001 16210001 16830001 1804 0001 9200001 2031+001 21390001
Page 129
tOO+8pound tOO+6ZtE tOO+Z61t 1000StOpound lOO+SSSZ lOO+tOZ toO+6ZS2 100middott2 100middotZEZ lUOZYZZ 005 I 10000pound9i tOO+6poundSZ tOOmiddotti tOOpoundIpoundZ 100SLlZ tOOotSOZ toO9t6 1 100middotS1 1009 ( 1006891 00 1 100096 1OO+6St 1000Jnt toOSZ I 1000tZ91 tOOSZSol 1000Z1 10069pound1 100Upound lOOoOSZt OOtI
1000Z 100pound1 100Wtpound1 1000poundSZt 1001111 100Ottl 100poundpound01 000Z6deg6 000pound66 000006 OOZI 100pound611 100SSt1 1006011 toOSSOt 000+poundZ66 000pound6 OOOSOS OOOoIlStS 000Z66 0000SU9 OStl OOOopoundHO 0006096 000+0Z6 000096S 0000S2S OOOotos 00099Z 000+S69 000699 000+9pound9 OOtt 000 at 000Z06deg OOOoWoy OOOmiddotziZ 000middotOU9 00009 000000 00019S OOOSOSS OUOot1ZS OSOt 00064]deg 000019 000_01l14 000+6611S 000+pound9SS 000-6ZS 00006S 000+00 00006 OOOoLZ OOOt
000-pound09 OOOOLliS 00099 00060 S OOOoOts OOOolllS 00006 000091pound OOOmiddotUt 000SZ6pound 01160 OOO-LOSS 000-19poundS OOoyt 000-L6 000-04 0001 h OOO-Stt 000-poundS6pound 000-19E ouO-S6Spound 0960 OOomiddotttoS OOOmiddotZSs OOOoLt OOOozt 0000Z9Z OOOoZO 0006Spound 000119pound OOOmiddotSs~ 000s8Zpound 0iJ060 00095 0000poundpound 00009I1Z OOO-lOl OOOIILIipound 000 0999degpound OOO+npound 00006Zpound OOO+hl Ii 000-966Z 0260 000_ tt1 0000 ltO OOO_ZSIIpound OOO-slLpound OOO-Uipound ooooapoundpound 000_1101pound 000-1I116Z 000-6SSZ OOO-zeZ 0060
OOO-poundOipound 000-19pound OOO-poundOSpound 000-5poundpound 000-6Llpound 000-600pound OOOopoundlSZ OOOoOZ 00006SS2 OOOoSZ 09S0 OOO-Zpoundpound OOOoOSZpound OOOoO~Ipound OOOopoundZOpound 000-9SZ OOO-ZtLZ OOOLpoundSZ OOO-OZ 00009poundpoundZ OOOSZZZ 09S0 000_U6Z 000middot1I06Z OOOotZioZ OOO-oUZ OOOmiddotOLSZ OOO-SpoundZ 00006lZZ 000-Z61Z OOOOOPZ OOO+OOOZ oeo 000_S9Z 000middott6SZ 0009tSZ 000061Z OOOhzZ OOO-UtZ 00006pound0Z 000-Z96t OOOOSS[ OOOotOL1 OZSO OOOopoundpoundZ 00001l6ZZ OOOopoundZZ OUOolstz OOOoZOZ 0000Spound61 OOOUSl 00006L1 000+9L9 000L6t OOSO
000-S90Z OOOoLZOZ OOOoELfIt 000degto6t 000-80St OOOmiddotLtL 0000019t 000-lSS OOOdegLa ( OOOmiddotst1 OSLO OOOottSt OOO-OSLl 0000poundL1 OOOmiddotZLIj 000Z6St 0000pound14]1 OOOmiddotlZl 000S9pound1 OOO-ZIpound OOOzszt 09L0 OOO-SLS1 OOO-poundSSl OOO-SHiL 000-pound91 000middot6pound 1 00009Zpound1 000-9Z1 00010Z1 OOO+ZSI 000-6601 hLO OOO-Lpound OOO-Lpoundl OOO+SIpound1 OOO-ZLZl OOOmiddotIZt 0009St1 000-9801 OOOmiddotLOl OOOSOO 100-90S6 OUO 0009Llt 00000911 OOOoSpound1 1 0000S601 000601 00000001 100-116 tOO-LLO6 100-18 100-poundZpoundS OOLO
000_00 100-SI66 tOO-middotlLo 100-16 100-LOO6 100-pound6SS 100-60S 100-0111L lOO-ZOSL tOO-SlItL OS90 tOO-EOS 100-Z11I tOO_lSZ 100-S00S 100-tL9L tOO-LZpoundL 100-S009 100-6999 100-60 100-9Z19 0990 100_11pound1 100-pound0 100_e69 100-ESL9 100-1lL9 100-619 lOO-9SS 100-L9S 100-6Z tOO_Z61S 09 0 too-Spound~S 100-16SS tOO-S6Le l OO-lIjS 100-0ZS t OO-S~il1degS 100-Z06 100-LtLdeg tOO-LSS 100-01pound OZ9deg0 tOO-poundS9 tOO-SSllo 100-middotSL 100-9 100-8S 100-tOpound tOO-690 100-t6pound 100-9f1L( 100-S~9pound 0090
100-1L6pound tOO-5S6t 100-06pound 100-poundlSpound 100-iL9pound tOO-LlSpound 100-0tOpound 100-IpoundZmiddotpound tOO-ztt ~ 100-OiltgtZ Oaso 100-681pound 100-Z91degpound 100-9t li toO-LOpound lOO-ZL6Z 100-9SSZ tOO-aOLoZ 100-t29Z tOO-zSZ 100-1oZ 0950 100-ZSi 100-ZSZ too-Los 100-tOZ tOO-tLtOZ 100-lI1ZZ 100-991degZ 100-8602 tOO-poundZOZ tOO-O~middott OirSO 100-L96deg 1 100-U61 tOO-LS6 1 too-~Z~o 1 100-Z9S1 tOO-6Lol lOO-90tt 100-S91 100-S6So 100-1(S1 OZSO [OO-OSl 100-E1Sol 100-iOi L [OO-n t 100-8pounddeg1 100-88poundt tOO-Zzpoundt toO-Z8Zmiddot1 100-UZt tOO-Silll OOSO
100-tEtdegl tOO-6pound1 t 100-11pound 1ot tOo-Oinot 100-0601 100-ESO1 tOO-SOool ZOO-tSL6 ZOO-6U6 ZOO-OiO6 OQOZOO-60ti 200-IIpoundoS ZOO-ZapoundoS ZOO-eeZs ZOo-zsOs ZOO-SZSL ZOO-SLL ZOO-09ZL ZOO-610 ZOO-S9 090 ZOO-poundS6degmiddot ZOO-ZOmiddot9 ZOO-iltOq ZOO-SS6S ZOO-OSSS ZOO-gOs ZOO-6lS lOO-eLlS 200-90tS ZOO-poundt6deg 00 ZOO-Imiddotmiddot ZOO-tOZ ZOO-Opounde ilOO-OZ ZOO-OZ1 ZOO-poundOO ZOO-LpoundSpound ZOO-Ettt lOO-SI9 ZOO-Owpound OZO ZOO-96LZ ZOO-SZ ZOO-OLez ZOO-098degZ ZOO-UsoZ ZOO-LHZ ZOO-Sl9Z ZOO-65SZ ZOO-OSoZ ZOO-Otltz 00deg0
ZOO-US1 ZOO-SSol ZOO-LiIl ZOO-USl ZOO-osst ZOO-SOSI ZOO-9poundL t ~00-tf9I ZOO_Z901 ZOO-poundilS1 OaEO ZOO-ltl ZOO-6S11 ZOO-LL I L ZOO-OSIl ZOO-L9tt ZOO-1lmiddot 1 zOO-OOldegl ZOO-(LO1 ZOO-ZtOO ZOO-90001 09pound0 EOO-pound69 EOO-6I1S9 poundOO-OZOL pound00-90L pound00-1I00
0 L EOO-US9 pound00-09 poundOO-n EOO-I0t pound00-110 0pounddeg0
pound00-poundpound1 pound00-6SSpound EOO-~~r (00-066pound EOO-ZL6t pound00-06pound EOO-leLpound poundOO-L69E pound00-96S( poundOO-Upound OlpoundoO pound00-16 pound00-9102 poundOO-ZLO~ EOO-[OZ poundOO-Z01Z tOO-ZLOZ EOO-110Z pound00-6961 pound00-Lt6deg1 pound00-S58I OOEO
000pound0 OSLZO OOSZO IISZZoU OOOzmiddotO OOelO 00910 OOSlO 0010 00pound10 ~
U1~Ol1 cI
(QiON1INO) t i1BYI
TABLE 15
THE HE3 CONCENTRATION TN THE VAPOR ABOVE HE3 - HE4 SOLUTIONS
XV
00001 0On02 00005 00010 00020 00030 0004 0 0005 0 00060 00080
C1()
0300 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0320 0340
09999 09998
10000 09999
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000ioooo
10000 10000
0360 09995 09997 09999 09999 10000 10000 10000 10000 10000 10000 0380 099 87 0 9993 09997 1)9999 09999 10000 10000 100 00 10000 10000
0400 09970 09985 09994 09997 09998 09999 09999 09999 09999 10000 0420 0440
0middot993g 098 79
09969 09lt139
09998 099 76
09994 u9988
0middot9997 0middot9994
09998 09996
09998 09997
09999 0999 7
09999 0 9998
09999 09998
0460 09711 09881 09955 09977 09989 09992 09994 09995 0 9996 09997 0middot480 0 96 20 0 9A O 09921 0 9960 0 9980 09987 0 999 0 0 9992 09993 0 9995
0500 09377 09678 098l-1i1 09934 09967 09978 09983 09986 09989 09991 0520 0540
09032 08570
09491 09230
09790 09677
098q4 09835
09946 09917
09964 09944
09973 0995
09978 09966
09982 09972
09986 09979
0560 07988 0 8881 0 9 520 09753 09875 09916 0 9936 09949 0995 7 09968 05ac 07300 08439 09310 09642 09817 09877 099 07 0992_ 09937 09953
0600 06538 07906 09041 09496 09740 09825 09868 09A93 09911 09932 0620 )0640 0middot160 0middot680
0middot5744 04961 0middot4225 03561
0729 06631 05940 05251
08708 0 8310 0 7851 07342
u9308 0 9075 08795 08 465
0middot9641 0 9 514 0middot9357 0 9 167
09757 09(69 09560 09427
0981 0 9 149 0966(1 09563
09amp52 09798 09730 09646
09876 0 98 30 0 9773 0 9702
09906 0 987 1 09828 09714
0700 02981 04593 06796 118090 08942 09267 094 3 0 9544 0961 6 09708 0720 0740
02486 02071
03982 03431
06230 05661
07675 07227
08681 08386
09078 08860
09290 091111
0 9423 0928 0
09513 09391
09628 09534
0760 01727 02944 051(4 067lt5 08060 08614 089 21 09115 09250 09424 0780 01443 02522 04572 06272 07705 08340 086911l 08928 n9088 09297
oeoo 01210 02159 04075 05787 07327 08040 08451 0 871e 0middot8906 09153 0820 0840 0860
0101 9 00863 00 734
01850 01588 01367
036 18 03205 028 34
05311 1)4851 04414
06933 06528 06120
07718 0737 07024
08181 0 7892 07585
0S4iT 08236 07966
08704 08482 0 8243
0899 1 08812 08616
0880 00627 0118 0 0Z506 04005 057 14 06662 07264 0768 1 07986 08404
0900 00539 0loe3 02216 03626 05317 06295 116934 073113 0 77 16 08177 0920 0 940
00466 0040 4
00890 00777
01 962 01 7 39
03278 029 61
0middot4932 0middot4564
05930 05570
06597 06259
0 7 075 0676 1
0 7434 07143
07937 0768 6
0 960 0980
00353 00309
0068 1 00600
01545 01375
02675 0241fgt
04 216 03888
05218 04878
()592~ 05590
06444 06127
0 6846 06546
07425 07157
1000 00272 005311 01227 021 A5 03582 04553 05266 05813 06245 06884 1050 1100 1150
0020~ 00154 00119
00396 00303 00236
009 34 00723 00570
)1708 I1348 VI077
0291 4 02373 01943
0J811 03179 02653
0450~ 038 2Q
03247
05057 04365 03751
05501 0 48 13 041A4
06196 05523 04889
1200 00095 001 88 00456 00811 01601 02222 02156 032l0 03627 04308
1300 00063 00124 003 05 00592 01117 01586 020011 02386 002730 03332 1400 0middot0044 00087 00215 00421 00808 01164 01 493 01198 0 02081 02591 1middot500 0middot0032 001164 001lt9 00312 0-0606 000881 01140 0138 15 0161 6 02042
Page 131
TABLE 15 (CONTINUED)
XV
~ 001()0 00150 00200 00250 00300 00350 00400 00450 00500 00550
(I()
0300 10000 10000 10000 looon 10000 10000 1000n 1000n ]0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0360 10000 10000 10000 10000 10000 10000 10000 10UOO 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 100UO 10000 10000
0400 10000 10000 10000 10000 100000 10000 10000 10000 0000 10000 0middot420 0440
0middot9999 0middot9991i
10000 09999
10000 09999
10000 119999
10000 10000
10000 10000
10000 10000
10000 10000
]0000 10000
10000 10000
0460 09998 0999A 09999 09999 0middot9999 09999 09999 09999 09999 09999 04 0 09996 09997 09998 1)9998 0middot9998 09999 0 9999 09999 0 9999 09999
0500 09993 09995 09996 09997 09997 09998 0999A 09999 09998 09998 0520 0540 0560 0580
09981i 09983 09974 09962
09992 09988 09982 09974
09994 09991 09986 09980
09995 09993 09989 09984
09996 09994 09991 09986
09996 09995 09992 09988
09997 0999i 09993 09989
09997 09996 0999] 09990
09997 0999t) 09994 09991
09998 09996 09994 09992
0600 09945 09963 09972 09977 09980 09983 099811) 09986 0 9987 09988 0620 0640 060 06f1O
09924 0middot9896 0middot9861 0middot9817
0994 09929 099015 0987c
09961 0 9946 09928 09905
09968 09956 09941 09923
0middot9973 0 9963 0middot9950 0middot9934
09976 09968 09957 09943
09979 0 9971 09961 09949
09981 09Jfh 09965 09954
0middot9912 0 9976 09968 09958
09984 09978 09971 09961
0700 09763 09839 09877 09900 09915 09926 09934 0994 1 09946 09950 0720 0740 070 0780
09699 09622 09531 09427
09794 09741 09679 09606
09843 09802 09754 09698
09872 119839 09800 09754
09892 09864 09830 09791
09906 09881 09852 09819
0991 09895 09869 09839
09924 09905 0 9882 09855
09931 0991 3 09892 09868
09936 09920 09901 09878
081)0 09308 0 9522 09633 09701 09746 09779 09804 09823 09839 09852 08~0 09173 09427 09559 09640 09695 09734 09764 09787 09806 09821 0840 0middot9023 09319 09475 09571 0 9636 09683 0 9719 0976 09769 O97S7 0860 08f1O
08857 08676
0 9200 09068
09381 09277
09494 09408
0 9570 0middot9496
09625 09561
0 9667 09610
0 9700 0961t9
09726 0 9679
09748 09704
0900 0920 0940
08lt81 08273 08053
08924 0876R 08600
09163 090)8 08903
09312 09208 09095
09415 0 9325 09227
09489 09411 09325
0954 0947 09399
09590 09521094amp
09626 09568 09501t
09656 09602 095lt3
0960 09AO
07822 07582
0842t 08234
08758 08603
08973 08842
09122 09008
09231 09130
09315 09224
09J81 0 9299
094)5 09359
09479 09409
1000 07335 08037 081t40 08702 0R886 09022 09127 09210 09278 09334 1050 1middot100 1middot150
06699 06059 Q5438
07513 06960 06398
07998 0751 9 0701 7
08321 07899 01449
0middot8550 0middot8175 0middot7768
08722 08384 08013
0885 08548 08207
0896) 08680 08365
0 9050 0middot8788 0middot8496
09U3 08879 08605
1200 04855 05845 06508 06983 0middot7341 07619 0784) 08025 08178 08307
1300 03840 0481Fl 05522 06052 06466 06798 07070 07298 07491 07656 1400 1500
0)038 02425
03944 0323
04636 03884
05192 04416
05623 04859
05987 05234
06292 0555
06552 05835
06776 06080
06971 06295
Page 132
TABLE 15 (CONTI NUEO)
XV
00600 00~41) 00650 00700 00750 00800 00900 01000 011 00 01200~ 00
0300 10000 10000 10000 10000 10000 10000 10000 1000 0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 03~0 10000 10000 10000 10000 10000 10000 10000 10g00 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000
0420 10 0000 1000t) 10000 10000 100000 10000 10000 10000 1middot0000 10000 0420 1middot0000 10000 10000 10000 10000 10000 10000 10000 0000 10000 0440 1middot0000 10000 10000 10000 1middot0000 10000 10000 10lOO middot0000 10000 04~0 0middot9999 10000 10000 10000 10000 10000 10000 10UOO 1middot0000 10000 0480 0middot9999 09999 09999 09999 0 9999 09999 09999 09999 0 9999 09999
0500 09999 09999 09999 09999 09999 09999 09999 09999 09999 09999 0520 09998 09998 09998 U9998 09998 09998 O999~ 09998 09998 09999 0540 09996 09997 09997 09997 09997 09997 09997 09998 09998 09998 0560 09995 0999~ 09995 09995 09996 09996 09996 09991 099970999 0580 09992 09993 09993 09993 09994 09994 09994 09995 09995 09995
0600 09989 09990 09990 09990 09991 09991 09992 09992 0middot9993 09993 0620 0middot9985 09986 09986 09987 09987 09988 09989 09990 09990 09991 0middot640 09979 0 9981 0middot9981 09982 0middot9983 09984 09985 0998~ 0 9987 09988 0middot660 09973 09974 09974 09976 09971 09978 09980 09981 0middot9983 09984 0middot680 09964 09966 09966 09968 0middot9970 09971 09914 09976 0middot9977 09979
0700 09954 09956 09957 09959 09961 09963 09966 09969 09971 09972 0720 09941 09944 09945 09948 0middotQ951 09953 09951 09960 09963 09965 0740 09926 09930 09930 09935 09938 09941 09946 09950 09954 09956 0760 09908 09913 09914 09919 09923 09927 099]3 0 9939 0993 09946 0780 09887 09893 09894 09900 09906 09911 09918 0 9925 09930 0993
0800 09862 09870 09871 09879 09886 09891 09901 09909 0991 5 09920 0820 09834 0984] 09845 09854 0middot9862 09869 09881 09890 0middot9898 09904 0840 09802 09813 0 98 15 9826 0middot9836 09844 09858 09870 09879 09886 0860 0middot9766 09779 09781 09795 0middot9806 09816 0 9833 09A 0middot98S7 09866 0880 0middot9726 09740 09744 09759 0middot9773 09784 098 04 094120 0middot9833 09843
0900 09681 09698 09702 09720 0973 09749 09772 09790 09805 09818 0920 09631 09650 09655 09676 09694 09710 09737 09758 0middot9775 09790 0940 09576 09s99 0960 09628 09649 09667 09698 09722 09742 09759 0960 09516 09542 09548 09575 09599 09620 0965S 09083 09706 09725 09~0 09451 09481 09487 09518 09545 09569 09609 0 964 1 09667 09689
1000 09381 09414 09422 09457 09487 09514 09558 09594 0middot962 09649 1middot050 0middot9184 09227 09237 09282 0middot9322 09357 09416 0940 0middot9503 09536 1middot100 0middot8956 09010 0middot9022 09080 0 9 130 09175 09250 0931+ 0 9362 0middot9404 1middot10 08699 08765 08780 08851 089 13 08968 09061 091 3 0middot9200 09253 1middot200 0841 8 08496 0851 4 08598 0middot8672 08738 08850 08942 0 9011 09083
1300 07800 07901 07925 08036 08135 08224 08375 0 850 1 08607 08697 1410 07143 07266 07295 074)0 Q7551 07661 07851 080 10 0middot8144 08261 1500 06481 06626 06659 06813 06953 07081 07304 07492 07655 07795
Page 133
68880 Tl880 lZL8deg0 1980 S880 19pound80 l1ZS0 alSO L20S0 S16L0 OUS1 OpoundUO OL060 deg006middot0 L1680 9188deg0 8lL80 66S8n 8aSS0 OsSO 19pound8deg0 00[ 6pound6deg0 50pound60 SZ60 pound616deg0 81160 060 556S00 Z0680 a88deg0 LUoo OOE
Spound560 60amp60 H60 ~E6deg0 08pound60 6Zpound60 LIi~60 6ZZ60 L816deg0 6pound160 OUZl 02960 L6560 69i60 iE56deg0 66deg0 pound560 Zh6deg0 ZLpound6deg0 8poundE60 86260 05tot 696deg0 9L960 CQ60 _296deg0 _656deg0 pound956deg0 poundZ56deg0 6660 ZL6deg0 060 OUt 0
85L60 5L600 8L60 80L6middot0 8960 6596deg0 82960 6deg96middot0 88560 956middot0 OOt 1860 OS60 l6L60 LLL6middot0 65L60 HoL60 8U60 OL6middot0 8896middot0 OL960 000
pound96middot0 Sa86middot0 1860 Z086middot0 98L6middot0 69L6deg0 6tL6deg0 LpoundL6deg0 tU6middot0 LOL60 086middot0 Z586middot0 86 0 -pound1260 2860 Ot96middot0 96L6middot0 8LL6middot0 89L60 9SL60 ZL6deg0 0160 69860 Z9860 551160 860 poundpound86
00 12960 S0960 96L6deg0 98L60 ELL60 060
S8860 6L8600 ZL860 9860 5860 pound860 OE860 22860 pound1860 Z0860 OZ60 66860 6860 68860 Z8860 poundL8b0 986middot0 Z586middot0 5860 8pound86deg0 6286middot0 006middot0
2166middot0 80660 E066middot0 L696middot0 0686deg0 Z886deg0 poundLe6deg0 L986deg0 09860 2586 0 0 088middotU Z66deg0 12660 LU6deg0 Z166middot0 506600 6686deg0 16860 98S60 0896deg0 L86deg0 098deg0 5pound66deg0 Zpound6600 6266deg0 266deg0 61660 166deg0 L066deg0 pound0660 ij6860 pound6860 0 08deg0 bullbull66deg0 2660 6pound66deg0 11pound660 2pound6b0 Ll660 22660 81660 t660 01660 0~90
pound5660 15660 6660 66middot0 pound66middot0 6pound660 pound66deg0 2pound66deg0 ~2660 5266middot0 0080
09660 6i660 L5660 i566deg0 25660 6660 9660 pound660 166deg0 9pound660 OtiLO L9660 99660 59660 pound9660 19660 8566deg0 55660 415660 (566middot0 6660 OJILO poundL660 2L660 0 U660 ~L660 89660 99660 9660 29660 (966deg0 65660 OtLO 9L660 L~66O LL66deg0 L660 L660 EL660 U66n OL660 89660 L9660 OZLO 2866deg0 2866
0 0 18660 0866deg0 6L66deg0 8L660 U66deg0 9~660 itL66 deg 0 U660 oOLO
98660 96660 5866deg0 l966deg 0 866deg0 pound866 00 2866 00 1866deg0 1866deg0 0866 00 0~900
6966 00 6t1660 0 9866deg0 ~86600 L866deg0 LS660 98660 911660 58660 866deg0 Oli9middot0 16660 166600 166bull0 16660 06660 066600 68660 68660 6S660 98660 090 pound6660 pound6660 pound6660 pound666middot0 pound6660 pound6660 26660 Z6660 C666middot0 1666middot0 Ol9deg0 56660 5666deg 0 -6660 6660 5666middot0 56660 666degn 416660 6660 6660 OU9deg0
96660 96660 96660 11666middot0 111666deg0 96660 9666deg0 9666deg0 9666deg0 S666middot0 O~lO L666deg0 L6660 L 6deg0 L666deg0 ~666middot0 L6660 L6660 L6660 L666middot0 L6660 osmiddoto 86660 86660 96middot0 tl666deg0 11666middot0 96660 8666middot0 8666deg0 tl666middot0 86660 050 6666deg0 66660 6666deg0 00660 66660 6666deg0 6666deg0 66660 06b60 6666deg0 o~smiddoto
6666deg0 6666deg0 66660 0666 0 66660 66660 6666deg0 66660 6666middot0 6666deg0 OOSmiddotO
66660 666600 001)01 0000deg1 6666middot0 6666middot0 6666deg0 0666middot0 tgt66600 OlJmiddotO ggggl 0000deg1 0000middot1 oooOmiddott 0000deg1 deg t 0000 01 OOOOOt 0000deg1 OOUOmiddotl OUOOmiddotl 0deg0 OOOoot 000001 001001 00001 0000deg1 00001 011001 0000middot1 0000middot1 0bullbullmiddot0 00001 ()OOOt 4000deg1 ~ 0000deg1 00001 0200 oOOot 0000deg1 000 I OUOOot 01gt00middot1 00001 0000 01 000deg1 0000deg1 0000deg1 00000( 00001 0000deg1 OOuool 00001 00deg0
OOOOt 000001 OOOOt 0000( 00001 0000deg1 00001 0000deg1 0000middot1 0000deg1 OijpoundO 0000middot1 OOOooL 0000deg1 00001 0000middot1 00001 0000middot1 0000-1 uooomiddott 0000middot 01(0 00001 0000middot t 001)01 00001 0000middot1 0000middot1 00001 00001 ~ ouOOmiddotl 0pounddeg0 0000middot1 0000deg 00001 00001 OOOOOt 0000deg1 00001 OUOOl UOOOol 0000deg O~poundU OOOOt 00001 110001 0000deg1 00001 0000deg1 0000middot1 0000middot1 0000middot1 ~ OOEmiddotO
000pound00 OS~2middot0 OOiZoO OillO OOOZmiddotO 0081deg0 0091deg0 00510 0091deg0 00pounddeg0 ~
fll(
(Q3m~UNOgt 5( 318-1
00
3Table 16 The Enthalpy and Entr opy of He Along the Solubility Curve and the Heat Absorption Rate of the Dilution Refrigerator
T Xt H3 (Xt T) S3 (Xt T) H3 (Xt T) - H3deg(T) (TmTi)Q=O
(O~) 3(Jmo1e He )
3(JoK mole He ) 3
(Jmo1e He ) T=T m
0000 0064000 00 00 00
0001 0064000 9451 x 10-5 010716 8188 x 10 -5 0365
0002 0064002 3781 x 10 -4
02143 3277x10-4 0364
0004 0064007 1 513 x 10 -3 04286 1312x10-3 0361
0006 0064016 3404 x 10-3 06427 2954 x 10 -3 0359
0008 0064029 6050 x 10-3
08567 5254 x 10-3
0357
0010 0064045 9452x10-3 10705 8214x10-3 0355
0015 006410 002125 1604 001850 0349
0020 006418 003772 2134 003288 0345
0025 006429 005881 2660 005132 0339
0030 006443 008443 3182 007377 0334
0035 006459 011448 3697 010012 0329
0040 006480 014884 4206 013028 0325
0045 006503 01873 4705 01641 0320
0050 006530 02298 5195 02014 0316
0060 006596 03257 6141 02857 0306
0070 006680 04347 7032 03813 0298
0080 006784 05549 7867 04865 0289
0090 006906 06844 8643 05995 0281
010 007042 08213 9362 07186 0274
012 007361 11122 10643 09699 0262
014 007731 1 4190 11739 1 2328 0255
016 008157 1 736 12670 1502 0250
018 008628 2058 13468 1 774 0247
020 009144 2383 14154 2046 0245
025 010618 3195 1549 2718 0245
030 012363 3988 1643 3364 0252
035 014373 4749 1710 3975 0260
040 01665 5471 1759 4 541 0271
045 01918 6150 1796 5061 0283
050 02201 6732 1822 5478 0297
055 02527 7338 1839 5916 0311
060 02908 7810 1846 6216 0326
Page 135
TABLE 17
THE HE3 CONCENTRATION SPECIFIC HEAT AND ENTROPy AT CONSTANT ~4
T III m
0000 DEGREES T m
0010 DEGREES Tm 0020 DEGREES
T X Cfgt4 53 X Cfgt4 53 X C~4 53 (K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K)
0000 006400 00000 0001)0 0001 0064011 0107C 01072 0002 006399 02144 02143 1)003 006398 03217 03215 0004 006396 04290 04288
0006 006391 06443 0middot6434 0008 006383 0860 4 08583 0010 006374 10177 10737 006404 10745 10705 0012 006362 12964 12894 006393 12925 12856 0014 006349 15168 15058 006379 15122 15013
0016 1)06333 17391 17228 006364 17339 11171 0018 006316 19637 19406 006346 19578 19348 0020 006296 21907 21592 006326 21842 21528 006418 21645 21331 0025 006238 27104 211OD 006269 27621 27019 006360 27375 26779 0030 006169 33693 32677 006199 33593 32580 006290 3middot3294 32290
0035 006088 39888 38333 006118 39770 38219 006208 39418 37880 0040 005997 46282 44074 006026 46146 43943 006116 45742 43553 0045 005896 52846 49903 005925 52693 49755 006014 52240 49314 0050 005786 59564 55816 005815 59395 55651 005903 58895 55161 0060 005541 73202 67879 005575 73009 67681 005660 72435 67092
0070 005289 86727 80182 005316 86518 79953 1105399 85892 79272 0080 005022 99790 92623 005048 99571 92365 005128 98921 91598 0090 004755 112071 105096 004780 1l185S 104812 1104856 111205 103968 0100 004494 123295 117500 004518 123082 111193 004591 122446 116281 0120 004009 141442 141746 004031 141265 141403 004098 140840 140380
0140 003585 156269 164861 003605 162838 164491 003665 161448 163389 0160 003182 164656 187486 003200 165749 187085 1103259 165830 185794 0180 002908 175207 207065 002924 172729 206659 002974 172843 205449 0200 002654 181627 225819 002669 181539 225403 002714 161273 224163 0250 002155 192703 267752 002167 192629 267319 002204 192403 266030
0300 001806 197727 303369 001817 197703 302925 001848 197634 301600 0350 0400
0middot01551 001356
201378 203670
334078 361131
001560 001364
201326 203647
333632 360677
(101586001387
201166 203580
332303 359322
0450 001203 205341 385205 001210 205319 384749 001231 205265 383393 0500 001079 207311 406925 001085 207267 406466 001104 207124 405100
0550 000977 209525 426780 000982 209480 426317 1100999 209355 424935 0600 0650
000890 000815
211960 214933
445111 4621A8
000895 000819
211917 214842
444643 461716
000910 000834
211778 214654
443252 460311
0700 000749 218847 478254 000753 218781 477774 000766 218554 476354 0750 000690 224606 493538 000694 224507 493054 1gt00706 224094 491613
0800 000635 233202 508299 000639 233033 507806 000650 232577 506334 0850 000583 247028 522826 000587 24677tJ 522321 000597 246067 520817 0900 000531 268309 537531 000535 267920 537007 000545 266765 535449 0middot950 1000
000478 000421
297390 331787
552922 569838
000481 000424
301574 333057
552370 569242
100491 000433
299752 331382
550730 567414
1100 000283 704503 614275 000286 693165 613469 000294 676812 611083 1200 000098 1738501 714579 000100 1677101 710943 000108 Itgt1J305 705365 1300 000000 000000 000000 1400 000000 000000 000000 1500 000000 000000 000000
Page 136
TABLE 17 (CONTINUED)
T m
II 0050 DEGREES T m
bull 0100 DEGREES Tm a 0200 DEGREES
T X Clo4 53 X CIlo4 53 X Cf4 53 IK) (JMOLE-K) CJMOLE-K) (JMOLE-K) (JMOLE-K) (JMULE-K) CJMOLE-KI
0050 006530 55557 51950 000000 00000 00000 000000 00000 00000 0060 006270 68655 63235 000000 00000 00000 000000 0middot0000 00000
00 70 005989 81771 74805 000000 00000 00000 000000 0middot0000 00000 0080 0middot05696 94606 86566 000000 00000 00000 0middot00000 0middot0000 00000 0090 0100
005401 005113
106847 1181A5
98424 1100281
000000 007042
00000 107161
00600 93624
000000 UOOOOO
0middot0000 00000
00000 00000
0 120 004 571 137293 133640 006307 126129 114848 000000 000000 00000
0140 004092 156793 156114 005656 146070 135676 000000 00000 00000 0 160 Ol AO
003653 003327
163652 171204
177909 197439
005061 004604
155667 164952
156134 174878
000000 000000
0middot0000 0middot0000
00000 00000
0 2 00 003037 179369 215941 004201 173821 192764 009144 164768 141542 0 250 002467 190964 257442 003412 187054 233201 u07228 179647 180039
0 3 00 002068 197137 292804 002858 194075 267968 u05973 188660 213658 0 35 0 0 4 00
(l01H6 001553
200234 202994
n34fl 350331
002453 002145
198430 201291
298213 324896
U05086 U04425
194110 197611
243173 269326
)450 001378 205010 374367 001903 203481 348720 003914 200048 292741 0500 001236 206535 396039 001708 204712 370237 003507 201931 313911
0 550 001119 208399 415799 001548 206821 389813 003175 20middot3386 333225 0600 001020 210771 414025 001412 208861 407902 002898 204920 350978 n650 000935 213497 451000 001297 210600 424690 002664 20middot6195 367435 071)0 000861 216978 466944 001196 213002 440377 002461 20middot7636 382765 0 750 000794 22191H 482076 001106 216663 455190 1102285 210191 397161
0 8 00 000733 229486 496632 001025 222308 469343 002128 212345 410815 0amp50 000675 241307 510879 000950 230723 483062 001985 217372 423801 0900 000618 2596~7 525170 000878 243589 496597 001854 223342 436408 0950 000560 288207 539953 000806 263229 510274 001729 231609 448695 1000 000498 321825 555896 000131 289821 524529 001607 244603 460892
1100 000354 580966 595964 000565 305216 557481 001358 288125 486278 1200 000162 1230201 671211 000355 1001625 606464 001079 363583 515631 1 300 000000 000078 2840930 750865 000742 115849 556015 1400 000000 000000 000317 1501686 634901 1500 000000 000000 000000
TABLE 17 (CONTINUED)
T = 0300 DEGREES T 0400 DEGREES T OIOO DEGREES m m m X CJJ4 53 X Cf4 S3 X Cf4 S3
(Kl (JMOLE-K) (JMOLE-K) (JMOLE-K) CJMOLE-K) (JMOLE-K) CJMOLE-KI
0300 012363 197721 164293 0350 010046 198066 194823 0400 008543 1988(1 221262 016650 231794 175895 0450 007456 200199 244745 013616 216682 202286 0500 006625 201422 265893 011739 209547 224585 022010 284688 182210
0550 005964 2()2486 285136 010385 207183 244405 017706 241038 207168 0600 005423 203453 302792 009340 206270 262377 015343 221874 226966 0650 004973 21)4394 319111 008499 205979 278867 013675 215281 244396 0700 004589 205386 334292 007803 206054 294129 012391 212093 260209 0750 004258 206601 348500 007214 206428 308354 011354 2100432 274773
0800 003968 208229 361883 006707 207156 321697 010490 20middot9682 288323 0S50 003710 210496 374572 006263 208357 334289 009753 209631 301028 0900 003477 213783 386691 005868 middot210216 346247 009111 210241 313024 0950 003261 218696 398373 005512 213016 357683 008544 211636 324424 1000 003058 225569 409762 005184 217007 368707 008032 213912 335333
1100 002670 248215 432273 004583 230394 389969 007127 222135 356068 1200 002275 292769 455737 004014 255243 411031 006314 237633 376018 1300 001839 370332 482695 003432 299765 433198 005531 265004 396073 1400 001329 483665 518038 002796 384167 458542 004725 313845 417432 1500 000707 1466084 577753 002064 573025 491242 003846 405955 442029
Page 137 GPO 840middot 501
bull bull bull
Table 1
Table 2
Table 3
Table 4
Table 5
Table 6
Table 7
Table 8
Table 9
Table 10
Table II
Table 12
Table 13
Table 14
Table 15
Table of Contents (continued)
Page
List of Tables 3
Some Temperature Independent Propertles of He 4
in Super fluid He bull bull bull bull bull bull bull bull bull bull bull bull bull bull 9
The Phase Separation Temperature or Solubility 3 4
Curve for Dilute Solutions of He - He bullbullbull 0 bull bull bull 19
Some Physical Constants and Basic Properties of 3 4
Pure He and He Used in this Work bullbullbullbullbullbullbullbullbullbull 84 3
Thermodynamic Properties 01 Pure Liquid He
Below 10 5degK 85 4
Thermodynamic Properties of Pure Liquid He
Below I 5degK bull bull bull 86
The Solubility Curve for Concentrated Solutions of 3 4
He - He 0 bull 0 0 bull bull bull bull bull bull bull 0 bull bull bull 88
The Entropy of He3
in He4
and Its Rate of Change with
Respect to Concentration at Constant Temperature bull bull 90 3
The Chemical Potential of He middot43
in He When the He
Behaves as an Ideal Fermi Dirac Gasmiddot 97 3 4
The Enthalpy of He in He bull bull 101 3 4
The Osmotic Pressure of He in He and the expression
-[ 1l (X T)-1l O(T=O)] bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull bull 1054 4
3 4The Specific Heat of the Total He - He Solution 112
3 4The Entropy of the Total He - He Solution bull bull bull bull lIb
3 The Enthalpy and Excess Enthalpy of the Total He shy
4 He Solutlon 120
3 4The Vapor Pressure of He - He Solutions bull 127 334
The He Concentration in the Vapor Above He - He
Solutions 0 bull bull bull bull bull bull bull 0 bull 0 0 bull bull bull 0 bull bull bull bull 131
vi
Table ot Contents (continued)
Table 16 3
The Enthalpy and Entropy 01 He Along the Solubility
Page
Curve and the Heat Abs orption Rate of the Dilution
Refrigerator 135
Table 17 3
The He Concentration Specific Heat and Entropy at
Constant 11 4
136
vii
ABSTRACT
3 4The thermodynamic properties of liquid He - He solutions beshy
tween 0 and L 5degK are calculated by using the weakly interacting Fermishy3
Dirac gas model for He in He4 Certain experimental data below about
O 4 0 K are used to evaluate s orne of the parameter s in the model The 3 4
properties of both He in He and the total solution are calculated for 3
concentrations of He up to 30 percent All experimental data agree
very well with the calculated results although little data exist below
04degK The calculated properties are used to analyze the behavior of 3 4
the He - He dilution refrigerator in both the continuous and singleshy
cycle processes The maximum heat absorption below about 004degK is 3
found to be 82 T2 joules per mole of He circulated The effect of an 4
imperfect heat exchanger and He circulation on the refrigeration
capacity is discussed An analysis of two new types of single-cycle
processes is also given
Key Words Cryogenics dilution refrigerator enthalpy entropy
Fermi-Dirac gas helium-3 helium-4 liquid mixtures
osmotic pressure quantum fluid specific heat thermoshy
dynamic properties
viii
THERMODYNAMIC PROPERTIES OF HE3 - HE4 SOLUTIONS WITH APPLICATIONS TO THE HE3- HE4
DILUTION REFRIGERATOR
Ray Radebaugh
1 bull Introduction
Early in 1966 Hall et al [1] and Neganovet al [2] independently
succeeded in achieving continuous refrigeration below O 1 0 K using a 3 4
He - He dilution refrigerator Such a refrigerator was first proposed
by London Clarke and Mendoza [ 3] Previously such temperatures
could be reached only by adiabatic demagnetization of a paramagnetic
salt although the process is not a continuous one Since the dilution
refrigerator has certain advantages over adiabatic demagnetization
researchers are rapidly turning their attention to this new technique
Several new dilution refrigerators have been built since early 1966 with
many others in the construction or planning stage Improvements are
constantly being made to these refrigerators and as a result the lowest
temperatures reached with them have steadily been reduced Vilches
and Wheatley have just recently reached O 012 OK in continuous operation
[4] and O 0045degK in transient operation [5] It should be possible to
reach even lower temperatures with this technique but further design reshy3
finements are hampered by a lack of data on the properties of the He shy4
He solutions used in the refrigerator
The purpose of this paper is to present a complete and consistent 3 4
set of data for the thermodynamic properties of liquid He - He solutions
for the temperature range 0 - 1 5 degK Such information is needed to
analyze the performance of dilution refrigerators and to help optimize
their design These data of course are also necessary to predict the 3 4
behavior of any other process which involves He - He solutions at these
temperatures Nothing will be said of the transport properties of the
solutions which are also urgently needed for the optimum design of
dilution refrigerator s
Most of the properties to be discussed in this paper have been
measured experimentally but unfortunately very few of the measureshy
ments have been done below O 5degK An excellent list of the experimenshy
tally determined properties has already been given [ 6] To this list
should be added the recent specific heat measurements of Edwards et al
[7] down to about O 1 oK and of Anderson et al [8] down to about O 004degK
The solubility curve has now been measured extensively down to about
O 02degK [9] The specific heat measurements however are not extensive
enough to permit a deduction of various thermodynamic properties as
functions of temperature and concentration down to OOK without recourse
to some theoretical model In this paper it will be shown that the thermoshy
dynamic properties of a weakly interacting Fermi-Dirac gas are in very 3 4
good agreement with all existing experimental data on He - He solutions
for temperatures below 1 50 K provided that values of certain parameters
of the model are determined from experiments Application of these
thermodynamic properties will then be made to describe the behavior of 3 4
He - He dilution refrigerators The Fermi-Dirac gas model has been
applied previously [ 4 5 10] to the analysis of the dilution refrigerator but
not to the extent of this paper In addition the previous analyses did not 3
take into account interactions between the He atoms in solutionwhich is
important for many of the properties
2 Selection of a Theoretical Model
3 4Experiments have shown that He is not miscible in He for all
3 4concentrations and temperatures The phase diagram of He - He
2
solutions shown in figure 1 indicates that for teITlperatures less than
about O 86 OK certain interITlediate concentrations are not perITlitted 3
Instead the solution separates into a concentrated He phase floating on 3
top of the heavier dilute solution At OaK it is possible to dissolve He
in He 4
up to a concentration of (64 plusmn O 1) percent [ 9] Thus at very low
teITlperatures the only concern is with dilute solutions and essentially 3
pure He Only dilute solutions will be considered here since a satisshy
factory theoretical ITlode1 has not been found for concentrated solutions
i e for concentrations greater than about 20 to 30 percent The propshy3
erties of pure He can of course be deduced directly froITl experiITlenta1
results SOITle of which extend down to the ITlillidegree region
Landau and POITleranchuk[14] were the first to propose a theoreti shy3 4
cal ITlode1 for the behavior of dilute He - He solutions According to
this theory the excitation spectruITl of the liquid is ITlodified by the addition
of noninteracting FerITli quasipartic1es equal in nUITlber to the nUITlber of 3
He atOITls The analysis was liITlited however to the nondegenerate
(high teITlperature) range where the quasipartic1es can be treated as an 3
ideal gas and thus would contribute an aITlount 32 R per ITlo1e of He
to the specific heat of the solution For teITlperatures sOITlewhat less 4
than 1 0 K the specific heat of He becoITles extreITle1y sITlall so the specifshy3
ic heat for T lt 1 deg K is due solely to the He contribution For teITlperashy
tures of about O 5degK and for concentrations less than 15 percent the
prediction of a 32 R contribution to the specific heat has been borne out
by ITleasureITlents of Edwards et al [7] Results of de Bruyn Ouboter
et al [11] above 04degK however appear to be in good agreeITlent only 3 4
in the liITlit of zero concentration This ideal gas ITlodel of He - He
solutions has been used in the past to analyze the behavior of the dilution
refriger ator [ 1 2 6 15]
3
15
~middot10
o
Ishy
~
05 o
A
Lin
e
o -
de B
ruyn
Ou
bo
ter
et
01
(J
-E
dw
ard
s e
t 01
amp
-B
rew
er
an
d K
eys
ton
PH
AS
E
SE
PA
RA
TIO
N
RE
GIO
N
04
06
08
10
02
x
3 4
Fig
ure
1
P
hase
Dia
gra
m o
f H
eH
e S
olu
tio
ns
T
he d
ata
po
ints
are
fro
m s
ev
era
l au
tho
rs
l 71
1
l2J
an
d t
he d
eta
iled
beh
av
ior
at
the in
ters
ecti
on
of
the
A a
nd
ph
ase
sep
ara
tio
n
lin
es
is f
rom
th
e w
ork
of
Gra
f et
al
L
13
]
For temperatures approaching OOK the 32 R term must disappear
according to the third law of therrrlodynamics Measurements l 7 8] show
that the specific heat begins to drop at about O 2 to O 5degK (depending on
concentration) and becomes proportional to T for much lower temperatures
Since the dilution refrigerator usually operates below 01 degK the ideal
gas model can not be relied upon to give a satisfactory explanation of the
behavior of a dilution refrigerator
Edwards et al [7] showed that their specific heat data were fit 3
very well at all temperatures by treating the He as a Fermi-Dirac gas 3
with an effective mass m~~ of 2 5 times the mass of a He atom
Anderson et aL [8] also found that the same model would fit their data
within experimental error but with the values 2 38 and 246 for mm3
in 1 32 percent and 5 02 percent solutions respectively The data of
Anderson et al extended well into the degenerate region of the Fermishy
Dirac gas where the specific heat is proportional to both mm and T3
Thus the Fermi-Dirac gas model shows excellent promise for predicting 3 3 4
the thermodynamic properties of He in liquid He - He solutions at all
temperatures
The variation of mm with concentration can be accounted for by3
3conSidering weak interactions between the He atoms Doing so however
does not change the specific heat from that of a noninteracting Fermishy
Dirac gas with the same mm [ 16] It will be shown that the behavior3
of the solubility curve also requires that interactions be introduced 3 4
Thus in this note the thermodynamic properties of He - He solutions
are derived from the weakly interacting Fermi-Dirac gas model
3 Computational Methods
3 43 1 Properties of He in Liquid He
The behavior of the interparticle interaction and its effects must
be evaluated before calculations of thermodynamic properties can be
5
made Bardeen Baym and Pines [17] (BBP) assumed the interaction 3
between two He atoms separated by a distance r is spin velocity and
concentration independent and weak Their interaction is written in
terms of the Fourier transform V(k) by
J V(r ) = V (i~) e i kmiddot r dk (1)
3(21T)
where k is the wave vector For an isotropic systemV(k) = V(k) The
effective mass m~ is then given as [ 17]
m = 1 +1 F S = 1 _ N(O) J2kf V(k) k (1 _ L) dk (2) m 2 23 1 2k 0 2 k o
f f
where m is the value of m at zero concentration o
2 2 (3)N(O) = m k 21T tlf
is the density of energy states at the Fermi surface for one spin orientashy
tion and k is the magnitude of the Fermi wave vector The dependencef
of k on concentration is shown by the relationf
2 2k = (31T n3)13 = (31T NAv)13 (4)f
3where n3 is the number density of He atoms in solution NA is
Avogadros number and v is the volume of solution containing one mole 3
of He The expression
233 v=V X=2758X+760+165X cm moleHe (5)
m
3where V is the molar volume of the solution and X is the He concenshy
m
tration will be used throughout these calculations Equation (5) agrees
6
with experimental data [ 9 18] to within O 3 percent for concentrations
less than X = O 3 and all temperatures less than 1 5degK The value 3 4
27 58 cm mole is the molar volume of pure He between 0 and 1 5degK
To calculate m from (2) knowledge of V(k) is necessary The
simple two-parameter form used by BBP to fit spin-diffusion results
[8] is given by
V(k) = V cos (13k) (6)o
o 2 -38 3with 13 = 316 A and V0 = -00754 m s n = -1 303 x 10 ergs cm
4 44
where m 4 is the mass of the He atom s is the velocity of first sound in 4 4
He at T = 0 and n 4 is the number density of pure He at T O Ebner
[19] recently extended these calculations for V (k) to higher concentrations
and used the form
(7)
where V is the same as that used by BBP and the other parameters are o
C = 40752 C = 00564 (8 ) 2 3
The form of V(k) given in (6) is limited to concentrations less than 5 pershy
cent whereas the form in (7) is valid for concentrations even higher than
30 percent Ebner states however that V(k) in (7) may contain some
10 --15 percent error Both forms for V(k) were used in (2) to solve for
mm assuming mom3 = 234 as suggested by BBP Figure 2 shows3
the calculated concentration dependence of mm compared with four3
experimental points from specific heat data Both curves give good agreeshy
ment with experiment but since Ebners form of V(k) is valid for higher
concentrations mm obtained by using his form of V(k) will be adopted3
here These values of mm are also listed in Table 1 along with k3 f
and the Fermi temperature T f given by
7
23~--_
____
____
____
_~__
____
____
____
__L
__
__
__
__
__
__
__
_~
__
__
__
__
__
__
__
__~
__
__
__
__
__
__
__~
o 0
05
010
0
15
02
0
025
x
3
4 3
Fig
ure
2
Eff
ecti
ve M
ass
Rati
o o
f H
e in
He
as
a F
un
cti
on
of
He
Co
ncen
trati
on
TABLE 1
SOME TEMPERATURE INDEPENDENT PROPERTIES OF HE3 IN SUPERFLUID HE4
X 10-7 kf
-1(em )
T f (OK)
11=
m 1m3
-(1l3 + L 3 deg)R
(OK)
00000 000000 0000000 234000 0258728 00001 040136 0005535 234046 0258841 0middot0002 050567 00087B4 234092 0258956 0middot0005 068628 0016171 234225 0259310 00010 086462 0025643 234442 0259920
00020 108926 0040627 234857 0261201 0middot0030 124677 0053137 235253 0262544 00040 137213 0064255 235633 0263940 0middot0050 147794 0074432 236000 0265382 00060 157041 0083910 236355 0266865
0U080 172814 0101322 237033 0269938 0middot0100 186124 0117214 237674 0273139 0middot0150 212961 0152510 239145 0281601 0middot0200 234287 0183572 240462 0290600 0middot0250 252263 0211771 241656 0300U32
00300 267947 0237848 242748 0309825 0middotU350 281946 0262265 243753 031 99 26 0middot0400 294645 0285332 244684 0330293 00450 306304 0307272 245550 0340892 00500 317109 0328251 246359 0351698
00550 327197 0348395 247117 0362685 0middot0600 336673 0367807 247830 0373837 0middot0640 343870 0382864 248371 0382864 0middot0650 345620 0386567 248502 0385135 0middot0700 354104 0404742 249138 0396565
00750 362178 0422388 249742 0408115 0U8 OO 369887 0439551 250315 041 9775 00900 384352 0472586 251381 0443382 01000 397732 0504107 252357 0467321 01100 410202 0534310 253255 0491539
0-1200 421894 0563353 254088 0515992 01300 432914 0591359 254864 0540643 01400 443344 0618430 255592 0565461 01500 453252 0644651 256278 0590420 01600 462694 0670092 256927 0615498
01800 480362 0718869 258133 066t934 02000 496644 0765151 259239 0716639 02250 515379 0819942 260512 0780246 02500 532610 0871743 261690 0843959 02750 548575 0920896 262796 0907654
03000 563456 0967674 263844 0971234 03500 590503 1054946 265810 1097725 04000 614589 1134915 267648 1222900 04500 636280 1208563 269392 1346348 05000 655978 1276633 271062 1467729
Page 9
2 2 23T h k 2 K m 54 890(v m~~m) oK
f f 3 (9)
where K is Boltzmann I s constant
Stoner [20] has evaluated the specific heat C of a Fermi-Dirac v
gas for all temperatures as a function of the ratio TITr Since he gives
only tabulated results for the intermediate temperature range a power
series expression was fit to his data to facilitate calculations of thermoshy
dynamic properties The details of this power series fit are given in 3 4
Appendix A The specific heat and entropy of dilute He - He solutions
can now be calculated as functions of temperature and concentration
However to proceed with calculations of enthalpy chemical
potential osmotic pressure and other related properties the deviation 3
of the chemical potential of He in solution from that of an ideal Fermishy
Dirac gas must be found There will be a considerable deviation because 3
of the presence of a binding energy and the interaction between He atoms 3
The chemical potential of He in solution can be written as
1 (X T) 1 (X T) + 1 1 (X T)3 f 3 (10)
where 1 is the chemical potential of the ideal Fermi-Dirac gas with effecshyf
tive mass m and is given by T
J H - TS 53 U - TS R T + 53 Jr C dTf f f f f f v
o
T - T J (CvT) dT (11 )
o
In this equation H Sf and U are the molar enthalpy entropy andf f
internal ener gy of the ideal Fermi-Dirac gas and R is the gas constant
Since C has been expressed as a power series in T the integrations v
can be easily carried out with the aid of a computer
10
3
The term 1 13 can be evaluated from the expe rimental data for the
dilute solubility curve and then compared with theoretical re sults for 1 1 bull
The experimental values of 13 are found by making use of the fact that 3
in a phase separated solution the chemical potential of He must be the
same in both the dilute and concentrated phases If at first it is conshy3
sidered that the concentrated phase is pure He then
(12 )
where Xt denotes the concentration of the dilute phase on the solubility
curve
rT T 1 deg = - L3 deg + J C deg dT - T J (C degIT) dT
3 3 3 o 0 (13 )
3is the chemical potential of pure He and L3 deg is the molar heat of vaporshy
lzahon 0 f He 3 OOKpure at T = bull The quantity 1 deg + L3 deg is calculated3
3using values for the properties of pure He given in Appendix B The
term 1X T) in (12) is evaluated using (11) at each data point [79]t
for the solubility curve By combining (12) and (13)values for 13 (X T)t
+ L3 deg can be determined The results of such calculations are shown in
figure 3 Also in figure 3 are shown curves for T f from (9) and a theoretshy
ical result for 113 + L3 deg which will be discussed shortly From (11) (12)
and (13) it is obvious that (-11 3 - L3 deg)R = T f for T = 0 0 K and the conshy3 4
centration at which this occurs is the limiting solubility of He in He at
T = OOK
The theoretical behavior of 1 using V(k) has been discussed by3
BBP and Ebner However bull their definition of 13 is slightly different than
that used here The difference is that they use the effective mass m inshyo
stead of m in evaluating I1 in (l0) The theoretical expression given byf
BBP for their 1-13 r at T = OOK is
11
08
1
06
o ~ 0
4
I-
N
02
o
TH
IS
WO
RK
0CD
l G
I
LO
o -P
3 -
3
R
0-
Ifff
e
f 01
EX
PE
RIM
EN
TA
L
a _
Ed
wa
rds
tit
01
I L
0-P
3-
3
R
005
0
10
015
0
20
0
25
x F
igu
re 3
T
he
Ferm
i T
em
pera
ture
an
d D
ev
iati
on
of
the C
hem
ical
Po
ten
tial
fro
m t
he I
deal
Ferm
i -D
irac V
alu
e
2 NA J2kf 2 k =Eo + (N Iv) V(O) - -2 k (1 - 2k ) V(k) dk (14)A 41T 0 f
where E is the binding energy and is independent of concentration The o
second and third terms on the right side of (14) are the Hartree and exshy
change corrections to ~3 To be consistent with the theory of BBP and
Ebner the ~31 defined by (10) and used here should contain an additional
term equal to the difference between ~f evaluated at mo and m However
when this additional term is neglected the theoretical ~31 from (14) fits
experimental data very well even for temperatures up to O 6degK as will be
shown very shortly Inclusion of the additional term requires ~3 to be
temperature dependent to give agreement with experimental values at
finite temperatures This temperature dependence has been worked out
by Ebner only for the high and low temperature limits Since the primary
purpose of this paper is to find a model which can be used to fit experishy
mental data over a wide range of temperature and concentration the
additional term in (14) required by rigorous theory will not be considered
in this paper Equation (14) was evaluated numerically using Ebners
form of V(k) The quantity Eo + L3 deg is found from a best fit of the
theoretical ~3 + L3 deg to the data points in figure 3 Only the data for
X lt O 075 were considered for the fit since it will be shown that the data
at higher concentrations and temperatures require some correction
From this fit it is found that
(15)
and that
X t (T = O) = O 0640 (16)
13
J
is the limiting solubility of He3
in He4
at T = 0deg K fft et al t 9] report
a slightly different value of O 0637 for X t (T = O) from a T2 extrapolation
of their data The theoretical result for J t is given in Table 1 in addition3
to being shown in figure 3 Including the additional term in (14) would
yield the result O 282 degK for (1S) which agrees with the value given by
fft et al l 9] The uncertainty in V(k) however is such that the difshy
ference in the two results for (-Eo - L3 deg )R is inconsequential [19 21]
The discrepancy between experimental and theoretical values for
1 r at higher concentrations can be completely explained by correcting 1 03 3
4used in (12) to account for the presence of a small amount of He in the
concentrated phase This correction then changes the experimental values
tor J The term 1c which must be added to tl3 deg to give the chemical poshy3
tential of the concentrated phase was actually found by forcing the experishy
mental data for tl3 + L3 deg in figure 3 to agree with the theoretical result
shown in the same figure This correction term J is shown in figure 4 as c
a function of temperature For temperatures above O 4deg K this curve was
deduced from a smoothly drawn phase separation line bridging the gap beshy
tween the low and high temperature data shown in figure 1 Figure 4 comshy
pares this calculated behavior of 1 with two other results for J One of c c
these other results is based on the experimental work of de Bruyn Ouboter
et al lll] for the thermodynamic properties of concentrated solutions
down to about 04deg K The term 1 is calculated from their data by the c
relation IOGt)
- G t + (1 - X ) oX (17)1c - u X=X
u
where X is the concentration of the concentrated phase and G t is taken u
to be
G t = G -l X 1 deg + (1 - X) 1 0]3 4
= X (13 - 1 deg) + (1 - X) (14 - J deg) (18)3 4
14
I I
I I
I
08~------~------~------~-------r------~------~~~
CD-0 E
rn CD
1 0
-gt
0 =l I
--8-- de Bruyn Ouboter et 01
---0-- This Work
--- Regulor Solution Theory
06 I I
I I
I I
I
I fI
I I04
I I
I
I I
02
o 02 04 06
Figure 4 The Difference in Chemical 130tential Between the Conshycentrated Phase and Pure He bull
15
with G as the Gibbs free energy and -1 - -1 0 the difference in chemical4 4
potential between He4
in solution and pure He 4 The term (oGt joX)X=X u
is very difficult to evaluate from the experimental data but appears to
be fairly small For a first approximation that term is chosen to be zero
which then leaves -1 = G i A better approximation can be made Since c
the terms 1J and J must be the same in both the dilute and concentrated 3 4
phases the term oGtjoX must also be the same in both phases The
theoretical behavior of -1 - -1 0 and -1 - -1 (to be calculated later) in3 3 4 4
0
the dilute phase can be used to find oGtjoX This then results in a
negative value for oGi oX and makes -1 less than Gt The difference c
though is only significant above about O4degK but is still less than the
experimental uncertainty and so it is not shown in figure 4 The other
curve shown for comparison in this figure results from assuming that
the solutions behave as a regular solution This assumption should give
reasonable results in the concentrated phase at least for the higher temshy
peratures The details of the calculation for -1 from the regular solution c
theory are given in Appendix C where the concentration X as a function of u
temperature is listed in Table 6 It is evident from the curve shown in
figure 4 that the behavior of -1 which results in an exact agreement of c
experimental and theoretical -1 + L3 0 can be considered to be consistent3
with all other estimates of its behavior although possibly too high around
O 2 OK In other words the theoretical -1 I agrees with experimental data3
along the solubility curve within experimental error and no temperature
dependence of -1 f is necessary to give this agreement even for temperashy3
tures as high as O6degK Of course a small temperature dependence is
still possible in view of the fairly large uncertainty in -1c but -1 I is3
assumed to be independent of T in all of the present calculations In any
case a small temperature-dependent term would have very little effect on
most of the thermodynamic properties at all but the lowest temperatures
since -1 I contributes significantly to these properties only at low temperashy3
tures
16
By using the theoretical behavior of JI t and ~c (11) and (12) can3
be used to derive the theoretical phase separation teInperature as a
function of concentration This calculation is just the reverse of the
case where the experiInental 1-13 I was deduced froIn the experiInental
phase separation teInperature The results for the theoretical phase
separation teInperature are shown in figure 5 along with experiInental
values l 7 9] and are listed in Table 2 To sUInInarize the behavior of
the weakly interacting FerIni-Dirac gas Inodel using Ebners expression
for V(k) which was deduced froIn spin diffusion predicts an In(X)In3
in agreeInent with experiInent These values of In(X)In are used in3
the specific heat of a FerIni-Dirac gas which then correctly predicts 3 4
specific heat of He in He at all teInperatures In addition this Inodel
gives the correct concentration dependence of the phase separation
teInperature
The present definitions (10) and (13) for 1-13 and 1-13 deg result in large
negative values for these terInS at T = OOK due to the quantity L3 o In
addition any uncertainty associated with L3 deg appears in 1-13 and 1-1 0 The3
bull
absolute value of cheInical potential in any systeIn is arbitrary and it
Inakes nUInerical cOInputations siInpler if JI and JI are changed by a3 3
0
constant valu~ The terIns JI3
and JI deg are now redefined by adding L3 deg 3
to the right sides of (10) and (13) The new definitions then becoIne
JI3 (X T) =JI (X T) + JI3
I (X) + L3 deg (10)f
and
T
1-13 deg (T) = JT
C3deg dT - T J (C degT) dT3 o o
(13 )
17
04 bull
03
f- t shy
02
01
c
o 1fft et 01
EXPERIMENTAL C pounddttords et 01
O~~---L----~----~----~----~----~----~----~----~ O~ 008 010 012 014
X 3
Figure 5 The Phase Separation Temperature as a Function of He Concentration
18
Table 2
The Phase Separation Temperature or Solubility Curve for Dilute Solutions of He3 - He 4
X T X T (OK) (OK)
006400 00 0090 o 1946
006404 000946 0095 02129
00641 001486 010 O 2301
00642 00208 O 11 02616
00643 O 0253 O 12 02902
00645 00323 013 03166
00647 00377 014 03412
0065 00445 015 03644
0066 00606 016 03863
0067 00721 017 04072
0068 00817 018 04272
0070 00970 020 04647
0072 01102 0225 O 5075
0074 01223 025 05460
0078 O 1436 0275 O 5809
0082 01618 030 06097
0086 01789
19
where 1-1 t 3 is now shown as a function of X only The term 1-13 0 now beshy3
comes zero at T = 0 oK The entropy and enthalpy of He in He40 are
taken as
T [ _ S3(X T) = Sf (X T) = J C (X T)TJ dT (19)v
o
H (X T) =1-13 (X T) + TS (X T) = 1-13 (X) + L3deg + H (X T)3 3 f
T
= 1-113 (X) + L 3 0 +RTf + (53) J C v (X T) d T (20) o
3 4The osmotic pressure n of He in liquid He can be determined
from the relation
n V = - (1-1 - 1-1 0 ) (21)4 4 4
which follows from altering an equation given by London et al [3] In
(21) the term V =V -X oV lox = 27 58 - 3 30 X3 cm3mole is the4 m m
4partial molar volume of He in solution and is only slightly different than
4V 4 0 The right side of (21) is the difference in the He chemical potentialbull
4 4between He in solution and pure He and is easily evaluated from the
Gibbs-Duhem equation for constant temperature and pressure
dl-13 dl-14 (22)X - + (1 - X) - =0
dX dX
In integral form (22) becomes
XJ X (23)1-14 - 1-14 o -- - 1 _ X dl-13 o
20
which upon substitution into (20) yields
(24)
The integral is easily evaluated numerically since J is known as a3
function of X from (lot)
3 4 32 Properties of the Total He - He Solution
Up to now consideration has been given only to the thermodynamic 3 4properties of He in liquid He and not those of the total solution Howshy
3 ever in the case of the He - He
4 dilu~ion refrigerator operating in a 3
steady state the He contribution is all that is needed Ideally in this 3 4
refrigerator He diffuses through a stationary column of He so that the 4
He contribution is not needed for thermodynamic calculations For the
transient behavior of the dilution refrigerator or any other process where
the bulk liquid is involvedthe thermodynamic properties of the total
solution are needed The total specific heat and entropy are taken as [ 14]
(25)
(26)
where C 4 0 and S 4 0 are the specific heat and entropy of pure He4 Equashy
tions (25) and (26) are good approximations only for temperatures not too
close to the A point since the A point changes with concentration (see
fig 1) Below 1 0 K however C deg is very much smaller than C so the4 v
approximation is certainly good up to X = 03 for these temperatures At
1 5 D K the results for C from (25) begin to deviate considerably from
experiment [11] for X much above O 1
21
The enthalpy H (same as the internal energy U for the low temshy
peratures and pressures of interest here) can be calculated in three
different ways Unfortunately the results are not exactly the same in
each case The first method makes use of the relation
H = G + TS = X ~3 + (1 - X) ~4 + TS
= X H + (1 - X) (~ - ~ 0) + (1 - X) H 0 bull (27)3 4 4 4
To be consistent with (lOt) and (13 1)
rT H a = leo dT
3 J 3 (28) o
T H 0 = - L + L 0 +J C 0 dT (29 )
4 4 0
3 4 o
4where L 4 a is the heat of vaporization of pure He at 0 0 K The second
method uses
T H = Ho +J C dT (30)
o
0 0where H is the value of (27) at T = K The third method which is o
somewhat of a combination of the first two replaces H in (30) for o
X gt O 064 with the value of (27) on the phase separation curve instead of
at oaK The lower limit of the integral is also replaced by the phase
separation temperature The results obtained by this third method should
be a good compromise except for the fact that curves of H versus X for
constant T will have an abrupt change in slope at X = O 064 which would
be unrealistic The second method was chosen for these calculations
and will give the same results as the third method for X S 0064 Since
the theoretical behavior of C agrees so well with experimentthe resulting
22
values of H should be quite accurate at least for X s O 064 The second
method eliminates the abrupt change in slope at X = O 064but the result
for H above this concentration may not be quite so accurate The first
method suffers from the disadvantage that it relies entirely on the theoshy
retical behavior of ~3 and ~4 both of which are more uncertain than the
calculated C The difference in H caused by using the various methods
is only a few parts per thousand This difference is greatly magnified
however when the excess enthalpy
(31 )
is considered The first method can give values for HE which are 15 to
20 percent higher than the second method for large values of X This
difference is due mainly to a temperature dependence of -1 that is not 4
quite consistent with properties such as specific heat Possibly a small
temperature dependent term in ~3 I might correct this inconsistency
From (31) and (27) it is easy to see that at T = OOK HE is just (1 - X)
3 4The vapor pres sure of He - He solutions is found from a trial
and error solution of the equation
J
(32)
3where X is the He molar concentration in the vapor P3 deg is the vapor
3 pressur of pure He and the Bs are the second virial coefficients for
3 4 He and He from the work of Kilpatrick et al [22] Equation (32)
follows from a combination of expressions given by de Bruyn Ouboter
et al [23] A very good approximation for X at least for temperaturesv
23
above about O 5degK can be found from the theory of regular solutions In
this case [ 23]
X (1 - X) p 0 v
p 3 0 exp [ (W RT)(l- 2X)] (33 )
X (1 - X ) shyv 4
where p 0 = p deg exp (B p degRT) is the fugacity of the component i and W 1 1 11 1
is a constant taken to be WR = 1 37degK [24] The results of (33) for X v
are substituted into (32) to find p
The heat of vaporization of a binary solution can be treated as
either integral or differential depending on the conditions of vaporization
[ 25] When a quantity of liquid solution is completely vaporized so the
initial liquid concentration and final gas concentration are equal the
integral heat of vaporization is absorbed in the process This integral
heat of vaporization is ApX if the process is done at constant pressureand
A if done at constant temperature For the low pressures dealt withTX
here the gas phase can be treated as ideal and thus the enthalpy in both
the liquid and gas phase are independent of pressure The integral heats
of vaporization can then be written as
ApX + R(T - TI) = A =XL deg(T) + (I-X) L deg(T) - ~(X T)TX 3 4 (34)
where T is the final temperature in the constant pressure process and 3 4
L3 deg (T) and L deg(T) are the heats of vaporization of pure He and He at4
the temperature T The term -~ gives the deviation from the ideal
heat of vaporization and is just the negative of the excess enthalpy
If a mole of gas is formed from an infinite reservoir of liquidthe
heat absorbed is Avt the differential heat of vaporization In this proshy
cess the gas and liquid phase concentrations are different From the
work of Ruhemann [25]
24
E r E ( ) (X _ X) 0 H (X T) (35)+L-H X T - v oX J
The term in brackets gives the deviation from the ideal differential heat
of vaporization and will be denoted as AE vt
3 43 3 Applications to the He - He Dilution Refrigerator
A schematic diagram of the He3
- He4
dilution refrig~rator is 3
shown in figure 6 Nearly pure He gas leaves the vacuum pump at a 4
pressure of about 30 torr and passes through a pumped He bath which 3
condenses the He bull After passing through a flow limiting capillary the 3
liquid He is cooled by passing through the still and the heat exchanger 3
The pure He liquid enters the mixing chamber or mixer where it 3 4
floats on top of and is in equilibrium with a dilute solution of He in He bull 3
For very low temperatures the dilute solution contains 64 percent He bull
This 64 percent solution communicates with the solution in the still via
the return line in the heat exchanger For the solution in this return line to
be in mechanical equilibrium the chemical potential jJ4 must be the same
throughout the tube Since the te~perature of the still is higher than the
mixing chamber the concentration of the solution decreases as it apshy
proaches the still From results to be given later the concentration in
the still is about I percent for T 5 = o 6 0 K where T 5 is the still tempershy3
ature As this liquid vaporizes in the still nearly pure He is removed
from the solution provided of course superfluid film flow is greatly 3
restricted To complete the cycle the He gas is compressed to about
30 torr at room temperature and returned to the condenser As the conshy3
centration in the still is lowered He will diffuse from the 6 4 percent
solution in the mixing chamber through the heat exchanger to the still
25
He4
~J--~~
He4 -I He3
He3 VACUUM PUMP - 300 OK
CONDENSER 08 -12 OK
CAPILLARY
STILL 06-07 oK
HEAT EXCHANGER
MIXING CHAMBER
He4 shy QOI-QsoK 64 He3
He3
3 4Figure 6 SChematic Diagram of the He - He Dilution Refrigerator
26
3To preserve equilibrium in the mixing chamber He must pass from the
upper rich phase to the lower dilute phase to maintain a 64 percent conshy3
centration in the latter In so doing the He absorbs heat if the temperashy3
ture is kept constant As the He dIffuses through the nearly stationary 4 3
column of He in the heat exchanger it cools the incoming pure He
stream in the heat exchanger A thermodynamic analysis of the dilution 3 4
refrigerator in a steady state uses only the properties of the He in He 4
since the He is stationary in the ideal case
The heat absorption rate of the dilution refrigerator is of fundashy
mental importance to those interested in the capabilities First consider 3
the case where only pure He is circulated by the pump By treating the mixer as an open thermodynamic system this heat absorption rate Q in
the steady state at a temperature T can immediately be written as an
enthalpy difference
(36)
3where n 3 is the molar circulation rate of He the first term on the right
3 4is the enthalpy of He in He along the lower or dilute solubility curve
3and H3cT ) is the enthalpy of He in the incoming concentrated stream
i at temperature T When the mixer temperature is below about O 2 0 K
1 3
the concentrated phase is nearly pure He and so the incoming stream 3 c
must also be nearly pure He bull Thus H3 becomes equal to H deg Howshy3
ever at higher temperatures the concentrated phase in the mixer will 4 4
contain a certain amount of He It is possible for this He to diffuse up 3
the incoming He stream to cause some dilution above the mixer To
calculate the heat absorption in the mixer the concentration of the stream
just as it leaves the last heat exchanger must be known If the velocity of 3 4
the incoming He stream is high enough He will be prevented from
27
diffusing up as high as the heat exchanger E~pressed analytically the 3 bull
stream leaving the heat exchanger will be pure He for n3 LVmDA raquo 1
whereas for ~ 3 LVmDA laquo 1 the stream will have the same composition
as the concentrated phase in the mixer In this expression L is the
length of tubing from the last heat exchanger to the mixer V is the m
molar volume of the incoming stream D is the diffusion coefficient of 4 3
He in He and A is the cross-sectional area of the tube In practice
something between the two extremes most likely will occur The enthalpy
3 l H 4 h d I 1o f He 1n a so utlon conta 1n1ng some e 1S rat er uncerta1n an so 1tt e 4
can be said about the heat absorption in the extreme where the He easily
diffuses up to the heat exchanger However from the work of de Bruyn 3
Ouboter et ale [11] it looks as though the enthalpy of He in the incoming
stream at about O 6degK will be on the order of 10 percent higher than H3 o
The difference between H3 c and H3 deg decreases to zero at about O 2 deg K
Equation (36) should be very accurate when H3c can be taken as
H3 deg since H3 is known very well along the solubility curve Though in
principle H3 (X T) can be found from (20)an alternative method fort
temperatures of O 1 deg K and below has been chosen If the incoming pure 3
He stream is at the same temperature as the dilute solution then the
process is reversible The heat absorption is then given as
Qr(T)~3 == T[8 (X T) -8 deg(T)] (37)3 t 3
from which it follows that
H 3 (Xt T) == Qr(T)n 3 + H3deg(T) == T[ 8 (X T) -8 deg(T)] + H deg(T)
3 t 3 3
(38)
Values of H3 and 8 along the solubility curve are obtained by second3
order interpolation in tables of H3 and 8 as functions of X and T Howshy3
ever interpolation in the 8 table is much more precise than that of the3
28
H 3 table for temperature of O 1 oK and below This is because J r + L3 deg 3
and RTf in H3 are very large numbers which cancel each other exactly
at OOK on the solubility curve Their resulting contribution to H3 slightly
above OOK on the solubility curve is subject to considerable error unless
both terms are evaluated to a great number of places Thus H3 (X-t T)
is evaluated from (38) for temperatures of O 1 OK and below Above T
O lOK (53)I C dT is the dominating term in H3 and so H3 (Xf T) is V
oaccurately obtained by interpolation in the H3 table Values for H3 deg (T )
iare taken from Appendix B
4In the case where the gas circulated contains some He the calshy
culation of heat absorption can become very complex especially at temshy
peratures above about O 2 OK Since operation of the refrigerator above
this temperature is of limited interest analysis of the heat absorption at
these temperatures will not be made Below about 02 OK the amount of 3
pure He available for refrigeration is reduced to
(39)
where X t is the concentration of the dilute phase at the temperature T i 3
n is the number of moles of gas mixture circulated and X is the He conshy
centration in the circulated gas The dilute solution already separated
out at T will contain 1
( 1 - X)n 3t =nXt 1 - X (40)t
3 4moles of He bull Neglecting the very small He contribution the heat absorpshy
tion rate in the mixer per mole of gas m~ circulated can be written as
29
middot Q(TT) 1 r X - X t ) 1 - X J
o = X H3 (XtT) -L(l _ X H3deg (Ti)+X 1 _ X )H3 (X Ti )n t tA A
(41 )
where all the X t inside the brackets must be evaluated at T i
For low flow impedences in the dilute stream between the mixer
and stillthe solution will be in mechanical equilibrium throughout its length
This equilibrium condition is expressed by ~4 = constant and from (21 )this
implies that the osmotic pressure must be constant at least for low
temperatures where d~4 deg dT is extremely small and for low concentrashygt
tions where V 4 is nearly constant At higher temperatures (T O 5degK)rJ
the change of ~ 4 deg with temperature must be taken into account When
this is done the condition ~4 = constant then is equivalent to IT + p f =
constant for small X where IT is the osmotic pressure and P is thef
4fountain pressure of pure He defined and calculated from (80) in Appenshy
dix B For high concentrations the condition IT + p f = constant does not
hold exactly since V 4 in (21) changes slightly with concentration However
the difference in V 4 between X = 0 and X = O 3 is only O 3 percent Given
a temperature and concentration in the mixer the concentration anywhere
in the heat exchanger or still may be found from curves of the osmotic plus
fountain pressure or to be exact curves of ~4 In practice a small 3
gradient in the osmotic pres sure must exist to drive the He through the
heat exchanger and may not always be negligible The calculated conshy
centration in the still then represents an upper limit and the deviation
from this value can be found if the flow impedance of the heat exchanger
is knowno Fourth order interpolations can be carried out in a table of
~4 to find the concentration as a function of temperature Once the conshy3
centration in the heat exchanger is known the entropy of He anywhere
along it is easily found from fourth order interpolation in the S 3 table 3
The specific heat of the He at constant ~ designated as C is then 4 ~4
30
given as 08
1 3 ) (42)CjJ = T ~ aT
4 1-L4= const
The differentiation of S 3 is carried out after fitting the data for S 3 at
constant 114 with a third order polynominal in T It should be obvious
that C will be a function of the mixer temperature as well as the local ~4
temperature since the former determines the osmotic pres sure in the
system
The vapor pres sure and vapor concentration in the still as a
function of both still and mixer temperature can be easily found from
interpolation in the p and X tables using values of X in the still as detershyv
mined from the condition 114 = constant in the dilute stream The heat QS
required to vaporize a mole of liquid in the still has contributions from 3 4
both the He and the He vaporized Because of the large heat of vaporishy
zation of He4 this contribution which is given by (1 - Xv) L deg(T) can4
3 not be neglected The He contribution is Xv L (T) where L (T) is just
3 33
the difference between the enthalpy of He in the saturated vapor and in 3
the dilute liquid The He vapor enthalpy can be written as H3 deg (T)
+ L deg(T) From this it immediately follows that3
(43)
where
(44)
is the deviation from the ideal heat of vaporization and n is the gas flow rate
The interface between the dilute and concentrated solutions must
remain in the mixing chamber if the refrigerator is to operate properly
Thus it is important to examine just where this interface will be for all
31
possible sets of conditions The assumption is made at this point that
the liquid volumes in the heat exchanger and condenser are negligible
compared with the volume of both the still and mixing chamber The
volume of the still containing liquid immediately after the initial filling
and before circulation begins is written as
v = r V (45)s mc
where V is the total volume of liquid in the mixing chamber If the mc
whole system is filled initially with n moles of solution at a concentration
of X then the initial volume of liquid is o
o n V = V + V = V (1 + r) (46)
m mc s mc
where V 0 is the molar volume V of the solution from (5) for a con-m m
centration of X During operation of the refrigerator phase separationo
occurs in the mixer and h is the fraction of mixer volume occupied bym
the dilute solution The total volume of solution during operation will be
different than the initial volume which then results in a change in liquid
level in the still Let the ratio of present to initial volume of liquid in
the still be h Both hand h are found from a solution of the simultashys m s
neous equations
(1 - h ) V X Iv u + h V X p Iv t + h r V X Iv s = nX m mc u m m mc V m s mc s m 0
(47)
(1 - h ) V Iv u + h V Iv t + h r V Iv s = n m mc m m mc m s mc m
(48)
where the subscripts and superscripts u t and s on X and V refer to m
the concentration and molar volume in the upper concentrated phase of
the mixer in the lower dilute phase of the mixer and in the still The
32
3first equation represents the total number of moles of He in the system
and the second gives the total moles of solution Substituting (46) into
these two equations yields
rX (1 + r) X XXt Xu s o u ( - --) h + h =----shy (49)
s s o uV t V u m V V V m m m m m
h = (1 + r) 1 (50)
s s o u V V
m m
after rearranging The values used for X are given in Appendix C u
Problems associated with the heat exchanger can be eliminated by
operating the refrigerator in a single -cycle process In this case the heat 3
exchanger is unnecessary since pure He is not returned to the mixer
Vilches and Wheatley [5] have reached O 0045deg K with this method and 3
maintained it for about an hour before depleting the He bull The proce s s is
reversible and thus for isothermal operation the heat absorption is simply
given by (37) However for T gt 0 0 1 0 K the term S3 deg should be replaced by 3
the entropy per mole of He along the solubility curve for the concentrated
phase although the difference is significant only for temperatures above lt
about 02 or 03degK For T 001 OK it is evident from (38) that (37) beshy
comes identical to H3 (Xt T) - H3 deg (T) = Q(T T)~ 3 which is the maxishy
mum value of Q(T T i)~ 3 and is a fairly good approximation for temshy
peratures up to about O 2 or O 3 deg K The greater refrigeration rate is
gained only at the expense of sacrificing the continuous nature of the 3
dilution refrigerator The amount of He remaining in the mixer after
the lowest temperature is reached is important to know thus analysis
of the transient mode is needed The natural assumption is made that
the heat capacity of the mixing chamber itself is negligible compared with
33
11
I
III
the solution Unless a large amount of cerium magnesium nitrate is used
as the thermometer the as sumption is very g~od Again by treating the
mixer as an open thermodynamic system the change in entropy of the
total system can be expressed as
oQ (51)d8t = T + on 8 J3 3
where oQ is the increment of heat absorbed for the incremental change 3
on of He in the system Equation (51) can also be put in the form3
d8
Qn3 =T-t_8) (52)dn 3
3
where Q is the heat input rate and ~ 3 the molar rate of change of He3
in 3
the mixer- and 8 is the He entropy along the dilute solubility curve3
If n is the number of moles of dilute solution and if the concentrated t 3 lt
solution is assumed to be essentially pure He (T O l5degK) then
8 t = n t 8 + n3 8 3 0
J (53)
where 8 is the molar entropy of the dilute solution from (26) The
derivative becomes
dS t OS dT dnt d8 3 deg dT 0
T dn = n t T OT)X dn + T8 dn + n3 T ciT dn3 + T833 3 3
e dT dnteo dT
= n -d + T8 -d + n3 -d + T8 0 (54)
11 n3 n3 3 n3 3
The mere process of cooling the liquid will automatically cause a small 3
transfer of He from the dilute to the concentrated phase This is evident
from application of the leverage rule to the phase diagram For tempershy
atures les s than about O 15 0 K this effect is quite small and so dnt l dn3
is
34
taken to be zero One calculation was made for a starting temperature
of O 3 oK In this case dnedn was still taken as zero but the value for C3
-1 -1 was taken as [7] C = 64T joules mole deg for a 124 percent solution
below 03 oK instead of using a 64 percent solution Combining (54) and
(52) yields the normalized equation
dT 03 + T (S3- S3deg) (55)
d(n n ) - (ntno) C + (n n ) C deg 3 o 3 o 3
3where n is the original number of moles of pure He in the mixer The
o term T(S3- S3deg) is the same as H (X T) - H deg(T) for T lt O 10K
3 t 3 Equation (55) was solved numerically for T as a function of n3no with
several different values for ntno and 6~ 3 In choosing values for
6~ 3 a value for the ultimate temperature to be reached is picked and
-6~ 3 is set equal to T(S3- S3deg) at that temperature
3When all the pure He is extracted from the mixer continued
3pumping will then begin to remove He from the remaining dilute solution
The obvious question is will this continue to produce a refrigeration effect 3
As the concentration of He in the dilute phase is reducedthe osmotic
pressure is lowered thus work is being done by the system Since the
process is reversible (52) also describes the behavior in this case
However S now becomes t
S t =n3 S 3 + n 4 S 4 deg (56)
so that
(57)
The term n3 dS dn can also be expressed as3 3
35
dS 3 i 08 3 dX oS3 dT n3 dn
3 =n3 oX JT dn
3 + n3 aT)Xdn3
08 3 C 3 dT] = X (1 - X) [ oX) + T dX
T (58)
where the relation X = n3(n + n4) has been used When (58) is entered3
into (57) (52) may be written as
oS bull bull - I 3 dT ]Qn 3 = X (1 - X) LT
oX)
T+ C 3 dX
(59)
3The term (oS3oX)T is always negative and so heat is given off when He
is added to the system (xi 3 gt0) but heat is absorbed during removal of
He3 (~3 lt 0) Since S3 approaches infinity as X decreases to zero the
limit -0 3 00 as X 0 must follow for T =constant However the 3
total isothermal heat absorption per mole of He originally in solution
when going from the concentration Xi to X f given by
l X oS i - Xi r f X (_3) dX
bQno = T x ) j X 1 - X oX T 1
1 (60)
has a finite value for X 0 This is so because S3 increases only asf
-23X for X o
Cooling may als 0 be accomplished by adding pure He4 to a dilute 4
solution through a superleak If the incoming He is at the same tempershy
ature as the dilute solution then the process also would be reversible
In the reversible cc-se the heat absorbed is also given by (52) but with S3
replaced by S 4 0 and n3 replaced by n bull From the system entropy in (56)4
the derivative becomes
36
(61)
which then leads to a heat absorption rate of
bull 2 r (deg53) dT ]Qn 4 = - X l oX + C 3 dX
T (62)
Even though (62) is always less than (59) n is not limited by a pumping
4 rate and therefore can be made much larger than rl Hence Q could be
34
made larger in this second case where He is added to the solution comshy3
pared with the case where He is removed from the solution However 4
in practice the incoming He will always be at a temperature T which is 1
higher than T This reduces the refrigeration rate to
(63)
4where the last term in brackets represents the heat load in cooling the He
3from T to T The total heat absorbed per mole of He in solution when
1
going from the concentration Xi to X at T = constant is thenf
~Qn3 = T[5 (X T) - 5 (X T)] - [(Xi - Xf)X X ] [H deg(T ) - H deg(T)] bull3 f 3 i i f 4 i 4
(64)
For Ti = T this expression approaches infinity as X goes to zero Forf
X laquoXi the last term in (64) becomes (1X )[H deg(T ) - H deg(T)]f f 4 i 4
4 Results and Discussion 3 4
4 1 Properties of He in Liquid He 3 4
The entropy of He in He calculated from (19) is shown in
figure 7 as a function of temperature for various values of X The
37
50 M gt1
40
TO Q)
0
I~ 30 0 E en Q)
J 0
J
gtshya 200 a r z w
pure He3
o 01 02 03 04 T oK
3Figure 7 The Entropy of He in Liqui~He 4
as a Function of Temperature for Various He Concentrations
38
3 entropy of pure He is also shown for comparison All the properties of
4 3He 3in He are listed as per mole of He Of special interest is the entropy
for X = O 064 in the low temperature limit which is given as 53 = 107 2 T
joules deg-1 mole -1 This expression is good to within 1 percent for temshy
peratures up to about 004degK For those interested in more precise
values 53 is listed in Table 7 of Appendix D along with values of (05 oXT3
-4for temperatures below 1 5degK and X between 10 and 03 The horizontal
line drawn in the columns for X gt O 064 indicates the location of the solushy
bility curve The only uncertainty in 53 comes from the specific heat The
weakly interacting Fermi-Dirac gas model fits the measured specific heat
to within experimental error thus the experimental uncertainty of about
1 - - 2 percent is all that carries over to the calculated specific heat and
entropy The ideal Fermi-Dirac gas chemical potential IJ is listed inf
Table 8 since it may be useful for certain calculations
The enthalpy H3 from (20) is shown in figure 8 and also compared
with H3 0 Again more precise values are listed in Table 9 of Appendix D
It is evident from figure 8 that (oH oXT changes sign at about 02degK and3
that H3 for X lt O 064 becomes less than H3 deg for temperatures below O IOK
The effect of these two occurrences on the dilution refrigerator will be disshy
cussed in section 43 The enthalpy values contain an additional uncertainty
not found in the specific heat and entropy namely the uncertainty in
1-l3 r It can be speculated that the resulting uncertainty in H3 for high
temperatures will never be larger than the order of 5 percent The
greatest uncertainty will be for lar ge concentrations For concentrations
much less than 64 percent the error in H3 should be less than about
02 joulesmole at all temperatures On and very near the solubility
curve H3 will be nearly as accurate as the specific heat and entropy
The osmotic pressure has been evaluated from (24) The results
are shown in figure 9 and listed in Table 10 of Appendix D Table 10
39
8
Hi 0 57
~~------~------~~------~------~------~------~--------~----~
6 0 E shyen CI)
J 0
-)
4 gtshya J ltt J t-Z lampJ
2
o
Figure 8
01 02 T oK
03
The Enthalpy of He3
in Liqui~ He4
as a Function of Temperature for Various He Concentrations
04
40
-2
--------------------
IOOO
r----~~--r_~~~~~~----~--_r--r_r_~~~------r_--r__r~~_
IOO
J--
A
V~~~
-~
~
IDE
AL
FE
RM
I-D
IRA
C G
AS
X
=0
64
_
---
X=
0
64
10
X
=O
shy 0 ~
X=
OI
~
01
01
laquo
I
001
1
0
Fig
ure
9
01
01
T o
K
3 4
Th
e O
smo
tic P
ressu
re o
f H
e in
Liq
uid
He
as
a F
un
cti
on
of
Tem
pera
ture
fo
r V
ari
ou
s H
e3
Co
ncen
trati
on
s
also lists values for the expression -[ IJ4(X T) -1l O(T=O)] The fountain4
pressure Pf is shown in figure 9 for comparison with the osmotic pressure
The dashed line in the figure represents the osmotic pressure of a 64 3
percent solution if the He is treated as an ideal or non-interacting Fermishy
Dirac gas In that case IT is given as ITv = 23 U where U is the internalf f
energy of the ideal Fermi-Dirac gas It is evident that even weak intershy
actions can change the osmotic pressure considerably The limiting
values of IT at low temperatures are strongly dependent on the shape of
the (-1J r - L deg)R curve below X = 0064 andconsequently contain fairly3 3
large uncertainties perhaps the order of 10 percent Measurements of
the osmotic pressure for temperatures somewhat les s than T f would then
be extremely useful in determining the exact behavior of 1l3 I and the intershy
actions The classical expression [3] for the osmotic pressure
E TI V 4 = - RT tn(l - X) - iJ 4
(65)
4where 1l E is the excess chemical potential of He in the liquid solution
4 has been used in the past [3] for high temperatures The term 1l E conshy
4 tributes only a very small part to IT at these temperatures and thus IT
is nearly proportional to T For temperatures less than the order of
T f quantum effects come into play and prevent IT from going to zero at
T = OOK It is instructive to compare the calculated values of IT with exshy
perimental results at temperatures of O 8degK and above The comparison E
is most effective if 114 is observed instead of IIbecause any differences
in IT would be greatly magnified in 1lE
bull Figure 10 shows values of 1lER
4 4 calculated by (65) from the theoretical results for II V 4 The dashed lines
give two typical experimental values [ 3 24] for a temperature of 08 degK
The lack of agreement indicates more experimental results are needed
before any conclusion can be made about the reliability of the calculated
42
005~------------~------------~-------------------------------------------------------------------~
004
003
002
001
T 0 OK
-001
10
04
Data of London et of (T 08 OK)
o -=-- - 02
01
o 001 002 003
4Figure 10 Behavior of the Excess He Chemical Potential as Deduced
from the Osmotic Pressure of He 3 in He4 bull
43
II although the uncertainty in II is approximately an order of magnitude
less than that of 1-14 E R
3 44 2 Properties of the Total He - He Solution
Tables 11 through 13 of Appendix D list the specific heat entropy 3 4
enthalpy and excess enthalpy for the total He - He solution These 3
results are listed as per mole of solution instead of per mole of He as
in the previous section Figure 11 compares the values of HE calculated
from (31) with experimental results Lll 26] In general the agreement
is very good except for high temperatures and concentrations which is
to be expected from the model used here It is interesting to note that
HE becomes negative for temperatures les s than about O 15deg K This
inversion temperature is shown as a function of X in figure 16 (p 55)
denoted as curve ll Below this temperature heating rather than coolshy3 4
ing occurs when pure He and He are mixed together to form a solution
This result of course has no bearing on the dilution refrigerator since
in that case it is not the pure components which are mixed together The
reverse process separating a mixture into its two pure components
does produce some refrigeration and will be discussed in detail in section
43
3 4The vapor pressure of the He - He solutions as derived from
(32) are shown in figure 12 and listed in Table 14 The results in
figure 12 show the ratio PP3deg so that curves for several temperatures
can be included on one graph Again there is good agreement with exshy
perimental results L27] The experimental curve shown for O 4degK was
taken as the vapor pressure of the concentrated phase given approxishy
mately by P = Xu P3deg The vapor composition used in the calculation of
P is listed in Table 15 Fortunately X is not very sensitive to WR for v
X larger than about O 5 v
44
Q)-o E
fh Q)
l o ~
--------- T =OOK
-Ol~~--~~--~~--~--~~--~~--~~--~~~~~
08
06
04
02
o
I et 0 I
--0--de Bruyn Ouboter I 115degK
rJ Sommers et 0 I T = 102deg K II
- This Work I I
I I
I I
I cent I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I l
~~~___________ a
02
o 005 010 015 x
3 4Figure 11 The Excess Enthalpy of He - He Solutions as a Function
of He 3 Concentration for Various Temperatures
45
10 r------__--------------------
08
OS
o~ a
0
OA
010
O8degK 005 02
r 0 o 001 Q02
o 01 02 03
This Work
--- Experimentol
fill 015
x 3 4
Figure 12 The Vapor Pressure of He - He Solutions Divided by the Vapor Pres sure of Pure He 3 as a Function of He 3
Concentration for Various TeITlperatures
46
The differential heat of vaporization A is derived from (35) and vt
the term A E vt which represents the deviation from the ideal differential
heat of vaporization is plotted as a function of X in figure 13 The dash-v
ed part of the curves are in the region of X gt 03 and so represent intershy
polations The as sumption was made previously that the solutions could be
treated by regular solution theory to find X from a given value of X at the v
temperature T The relationship between X and X is therefore subjectedv
to some uncertainty especially for X less than about O 5 The term E v
A II from (35) uses both X and X which would appear to cause an unshyv~ v
Ecertainty in A However the term ~ in (35) is very nearly linear in
vt E
X which results in A being practically independent of X Thus for a vt
given value of X the uncertainty-in AE is nearly removed The directII
v ~ E experimental results of Sommers [28] and results deduced from H
data [11] are also shown in figure 13 for comparison
3 44 3 Applications to the He - He Dilution Refrigerator
The enthalpy H3 (X T) and entropy S3 (X T) along the lower t t
solubility curve are listed in Table 16 The maximum heat absorption
rate Q(T T)~3 calculated from (36) is also listed and applies to the case 3
where only pure He is circulated Plots of H3 (Xt T) H3 deg (T) and
Q(T T)~3 are given in figures l4a and 14b For temperatures less
than about O 04degK the expressions
Q(T T)n3 = 82 T2 joulesmole He 3 (66) I
fit the results within 1 percent These numbers are somewhat smaller
than those given previously by this author [ 29] since the binding energy
E was changed to fit the latest results [9] on the solubility curve The o experimental behavior of Q(T T)n is (83 plusmn 4) T2 joulesmole He 3
3
47
o -I
-2
-3cu
0 E
en
-4
cu
J
0 J -5
~
-t0
0
111
gt
lt
-6
-7
-s
-9 I
I I
I I
I
I
I I
I
a 0
1 0
2 0
3 0
4 0
5 0
6 0
7 O
S 0
9 1
0
I E
xper
imen
tal
I
Xv
Fig
ure
13
T
he D
ev
iati
on
fro
m t
he I
deal
Dif
fere
nti
al
Heat
of
Vap
ori
zati
on
of
He
3 -
He
4 S
olu
tio
ns
5
Q)
o E (J) 2 Q)
J o J
1 f 1( ~
IJ I I
IV J J
j I IJ
J
IV I H3 (Xl T) 1 I
~ I OfT T) 113 V I
L1 I J
IX J H3O(T)II I
I J II IJ
1 I IJ I I I(
II I JIfj I
1 V III V
J
2
2 5 2 5
Figure 14a Plots of H (X T) H (T) and O(T T)~ 3 =H (X T3 t 3 3 t
- H3 0 (T) for Low Temperatures
49
10
5
2
~lcP o E
fI) Q) 5 J o
J
gt-~
Q 2 -J lt c t- _I 210 W
5
2
-210 10 2 5 101 2 5 10deg 2
J II-2
I III i
IJ i V
II Ifj
H3 (X T)
J
JJ
~ h
JV W
JV
II rl
J I(
V 1
J
rj
J V
L
~
V~ ~ I
J
II
~ I ih ~I
J V Ill
W II j V
J LI 1 f
IJI( Jt Q(TT) h3 j
V )
(HffTJ
I 1
I 1
I JI
1
I
I
T oK
Figure 14b Plots of H3 (Xt T) H3 (T) and a(T T)~ 3 for High
TeITIperatures
50
3Peshkov [ 10] gave the value 100 T2 joulesmole He from his calculations
using X = 005 as the limiting solubility The same result would be
reached in the present work by considering a 5 percent solution Vilches 2
and Wheatley [5] also derlved the value 82 T but 59 percent was used
as the limiting solubility The uncertainty of the present results beshy
tween O 004degK and O 2degK for H 3
(X-f T) and Q(T T)~ 3 are estimated to
be about 2 percent judging from the experimental uncertainties in C 3
C3
0 and the solubility curve Above O 2degK the accuracy may not be
quite as good
For temperatures less than about O OlooK considerable uncershy
tainty exists in C deg According to Balian and Fredkin [30] the limiting3
temperature dependence of C deg should have the form C oT = 3 3
A [-fn(BT)] 12 The experimental results [31] below O OlooK neither
confirm nor deny this temperature dependence If this form is correct
then at sufficiently low temperatures Q(T T)ri would become zero though3
-6 temperatures less than 10 oK would probably be required A more
recent theory [32] shows that C degT approaches a constant value at3
3T = OOK A transition of He to a superfluid phase in either the pure or
dilute liquid would also alter the present analysis below the transition
temperature However neither of these effects should change the presshy
ent calculations at O 004 0 K and above
It is obvious from the curves in figures l4a and 14b that the 3
incoming pure He can be at a much higher temperature than the outgoing 3
dilute He and still provide refrigeration It can be deduced from (66)
that for temperatures less than about O 04degK the refrigeration power
goes to zero when (T T) = O 36 where T is the temperature of m 1 Q=O m
the mixer More exact values of this ratio are given in Table 16 and
are slightly dependent on T bull For small residual heat leaJlts the limiting m
temperature of the mixer is thus determined solely by the inlet
51
3 temperature of the pure He For example if the residual heat leak is
5about 1 ergmin or less for a circulation rate of about 2 x 10- moles
sec then the mixer will reach O 005degK for an inlet temperature of
0014degK Unfortunately heat transfer at these low temperatures beshy
comes very poor and it looks as though considerable research on heat
exchanger properties and design are required to reduce the temperature 3
of the incoming He to this low value
4 3Any He in the incoming He stream will reduce the refrigeration
effect as given by (41) for temperatures below about 02degK For temshy4
peratures of O 040 0 K and below the influence of He is easily evaluated
since H (Xf T) and H deg(T ) can be represented as in (66) Figure 153 3 i
3shows how the concentration of He in the circulated gas stream can
affect the refrigeration capacity in the mixer The figure shows plots of 2 2
(QT m)X obtained from (41) normalized by the quantity (QT m )X= 1
for various values of the ratio T T Values of T T near 1 0 can m 1 m 1
only be achieved with nearly perfect heat exchangers something quite
difficult at very low temperatures If it is assumed that the presence 4
of He has no effect on the heat exchange properties then T and T 1 m
will remain the same for all X and the curves will then show the ratio
(Q)X(Q)X=l The dashed line in this figure represents the reduction in
refrigeration capacity which would be due only to a reduced amount of 3
He bull Obviously this curve is quite different than the more exact curves
especially for low values of T T Most of this difference is due to m 1
the fact that some dilute phase with its very high heat capacity must be 4
cooled from T to T whenever He is present in the incoming stream 1 m
From the curves shown in figure 15 it is easy to see the importance of 4
eliminating He from the gas stream particularly at low temperatures
where T T will be low and near its ultimate value The other curve m 1 3
in figure 15 shows how the ratio (T T)Q 0 varies with the He m 1 =
52
01
V
J
IDmiddot
bull
08
06
04
02 o
02
0
4 0
6 0
8 1
0 x
Fig
ure
15
Th
e R
ati
o o
f M
ixer
Tem
pera
ture
to
In
let
Tem
pera
ture
fo
r Z
ero
Po
wer
Inp
ut
an
d t
he R
ati
o Q
T2
as
a F
un
cti
on
of
He
3 C
on
cen
trati
on
in
th
e C
ircu
late
d G
as
m
4concentration in the gas stream The effect of He on this ratio is
fairly small for less than about 50 percent He4
It will now be shown that the fractional change in T itself is m
only slightly larger than the fractional change in the ratio (T IT)a-om 1 -
This fact can only be found from an analysis of the heat exchanger A
system of several individual heat exchangers of the type used by Vilches
and Wheatley L4] will be assumed but only the lowest temperature heat
exchanger will need to be analyzed In the ideal case both the dilute and
concentrated streams will leave the lower heat exchanger at the same
temperature T The dilute and concentrated streams enter the heat 1
exchanger at the temperature Tm and Tb respectively At low temperashy-1
tures the specific heat of the two streams are C = 107 T joules mole -1 -1 -1 ~4
deg and C = 25 T joules mole ieg bull A heat balance is then made3
0
on the heat exchanger which leads to the condition
2 dT T dT
1 = O 81 (~) m (67)T T T
1 1 m
For T IT = O 36 this becomes dT T = O 11 dT IT Therefore m 1 11m m
T changes very little for a change in T and the fractional change in 1 m
T will be only about 11 percent larger than the fractional change in the m
ratio (TmTi)a=Oat least for (TmTi)a=O near 036 The ratio
(T IT )a decreases by about 7 5 percent when going from X = 075 to m 1 =0
X = 1 0 so T will decrease by about 83 percent for this change in X m
In the case where the two streams do not reach the same temperature in
the heat exchanger the change in T will be slightly less than in the m
ideal case
In figure 16 is shown the locus of points where H3 = H3 0 which 3
is designated the inversion curve III Diluting the He to any point below
54
05~----~------~----------------------
004
10
05 ------------------ o
006
002
PHASE SEPARATION
REGION
008
15 r---------------
04
03
o t shy
02
01
o
3 4Figure 16 Enthalpy Inversion Curves for He - He Solutions The
inset shows the high temperature end of the curve I
55
x
this curve without doing work results in a heating effect whereas above
this curve a cooling effect takes place This inversion curve I given by
(oH oX) = 0 is also shown in the same figure Below this curve the maxishy3
3 mum cooling effect is achieved by diluting the He no farther than the s olushy
3bility curve Above it maximum cooling occurs when the He is diluted as
much as possible but still remains above the curve 1 To prevent a loss
of refrigeration at temperatures below inversion curve I requires the 3
mixer to have a very small impedance for the flow of He so that dilution
below the solubility curve can not take place The technique of bringing
about extra dilution above curve I is discussed later The curve II in
figure 16 was mentioned in section 4 2 but for completenes s is restated 3 4
here Mixing pure He and pure He such that the resultant solution is at
a point below curve II results in heating whereas cooling results for a
point above curve II
The concentration in the dilute stream between mixer and still is
shown in figure 17 for various mixer temperatures These concentrashy
tions are for constant ~4 The specific heat C~4 of th~ He3
in the dilute
stream is shown in figure 18 also given for various mixer temperatures
For a mixer temperature of OOK the specific heat becomes C~4 = 1072 T
joules mole -1 deg -1 in the low temperature limit which is the same as
C for X = O 064 The classical value of 52 R would hold at high tempershy3
atures if the process was at constant IT instead of constant ~4 Values of
C~4 are useful in the design of heat exchangers and so are listed in Table
17 along with X and 8 for constant ~4 for several mixer temperatures3
The vapor pressure of the solution in the still is plotted in figure
19 as a function of still temperature with the mixer temperature as a
parameter The heat of vaporization of the liquid in the still and the
vapor composition (neglecting film flow) are both shown in figure 20
56
08
06
~
o
tshy~
04
02
PH
AS
E S
EP
AR
AT
ION
R
EG
ION
o 0
02
0
04
0
06
0
08
0
10
012
X
F
igu
re 1
7
Co
ncen
trati
on
Pro
file
s f
or
Co
nst
an
t J
4
TABLE 9
THE ENTHALIIY OF HE3 N HE4
H3 (JMOLE)
~ 00001 00002 00005 00010 00020 00030 00040 00050 00060 00080
ClO
0000 -210606 -208000 -202153 -194785 -1083391 -174107 -166024 -15e71 -152114 -140192 0001 0002 0003
-21002 -2~865
-211696
-20719 -206591 -205173
-111943 - 01329 -200368
-94652 -19425 -19361 i
- 83307 -183056 -182640
-174043 -173850 -173531
-16f)971 -1651111 -165547
-1511716 -1511578 -1511349
-52073 -151151 -151748
-140159 -140058 -139889
001l4 -2115134 -203543 -199 146 -192742 -82066 -173087 -165178 -158030 -151464 -139654
0006 -211285 -199965 -96198 -190460 -180476 -171839 -164 135 -157124 -150658 -13e9A4 0008 0010 0012 0014
-1Q7317 -1Q3291 -1J1923j -1R515ii
-196171 -192268 -188302 -18494
-192854 -189284 -85576 -181775
-18767Q -18456 -08122 -177727
-1711385 -175903 -73125 -170120
-170151 -168084 -165706 -163074
-162706 -160928 -158844 -156500
-15876 -154308 -15449 -150333
-149543 -148134 -146451 -144521
-138053 -1middot36870 -1035445 -133793
0016 -1A1054 -1110258 -177910 -1741111 -166940 -160235 -153937 -147995 -142368 -1031931 0018 0020 0075 0030
-1769411 -172834 -11I252 -1I219i
-176202 -172130 -161905 -151636
-173997 -170048 -160065 -149977
-170425 -16666 -157065 -147267
-163624 -160200 -151286 -142023
-157229 -1540 86 -145774 -136993
-151190 -148287 -140001 -132158
-140465 - 104279 -130448 -127500
-140022 -137504 -30596 -1n009
-129877 -127650 -121438 -114483
0035 -141850 -141340 -139823 -137341 -132528 -127894 -123424 -11QI05 -114927 -106962 0040 -141497 -131025 -129623 -1273211 -122869 -1111567 -114406 -110379 -106475 -09900 0015 -11l3 -120697 -19391 -117251 -113091 -109070 -105177 -101 401 -097736 -090711 0050 -110771 -110359 -109134 -107127 -103222 -099445 -095783 -0922211 -088774 -082144 000 -090029 -089661 -~8E1568 -0877 -083287 -079910 -07633 -07~448 -070349 -064389
0070 -09278 -068944 -067953 -066329 -063168 -060108 -057138 -054251 -051440 -046030 OOAO -049520 -048214 -047305 -045817 -0middot42923 -040122 -03 7404 -034762 -032190 -027241 0090 0100 0120
-0~7757 -Oii699i 04540
-027474 -006727
034782
-026634 -005945
035470
-025259 -004666
036595
-022586 -002182
038774
-020002 000218 04n874
-017496 002543 042905
-015061 004801 044874
-012691 (11)6991 046186
-001133 011218 050452
0140 076096 076304 076921 0779lt5 079866 081731 083531 08S273 086960 0Q0186 0160 01110
11 764shy159203
117837 159376
1 8394 59884
119301 1060711
121050 162300
122725 1631117
124338 165274
12158Q4 16676
127398 16A028
130266 170595
0200 2n0761 200920 201387 02145 203599 204983 206307 207578 208800 211112 0250 314663 304795 305182 305807 306996 308117 309182 310196 11l63 312972
0300 4n8571 408684 409012 409538 410531 411459 412331 413154 413932 415367 0350 0400 0450 0500
512485 6640[170]2n 8lt4240
512582 616486 720394 824305
512864 616730 720608 824493
h13313 6171111 720944 1124786
514154 617836 721561 825317
514Q31 618491 722115 1125785
515653 61 9093 722616 82c201
51328 619647 723070 826571
516Q58 1120157 723482 826899
51100 621deg3 724191 A27441
0550 928161 928lt19 928384 Q28641 929097 929491 929834 930131 930387 930786 0600 0650 0700 0750
1O~2084 1146007 12993 1343854
1032135 1136052 1239970 1343890
1032280 1136180 12 40084 143989
103t504 1136375 1240253 1344136
1032895 1136710 1240536 1344373
1033226 1136983 1240760 1344551
1033505 1131206 1240932 1344679
O33738 1137384 1241060 1344761
1033931 1137520 12411 47 1344804
1034205 1137684 1241212 1344781
01100 1447779 1447810 1447897 144AG23 1448219 1448356 1448443 14411485 14411487 1448383 0850 151704 1551731 1551807 1551914 1552073 1552112 1552221 155226 1552192 1552015 0900 1605629 1655653 1655718 16558011 1655932 Hbullbull 55997 1656012 165119114 1655915 1655672 0950 1000
17955 18f3480
1759576 1863498
1759631 1863545
1759705 U63604
1759797 1863667
1759831 1863672
1759815 11163627
1759755 18 63538
17t0655 lR63410
1759351 11163048
11(10 2071333 2071345 2071376 2071409 2071419 2071372 2071275 2071135 2070955 2070492 1200 1300
l7918 lt4A7030
2279194 2487043
2[179211 2487048
2279220 2487037
2gt791115 24F16962
2279092 2486828
2278950 248c646
22711764 2486421
2278540 2486157
2271Q88 2485527
1400 1500
69489 29n2747
2694893 2902744
2694887 2902728
26948511 2902683
2694747 2902540
2694578 2902338
2694360 2902089
2694100 290796
2693801 2901466
2693100 2900702
Page 101
TABLE 9 laquoCONTINUED)
HJ IJMOLE)
T~X 001011 1)0150 00200 00250 00300 00350 00400 00411i0 00500 005-0
flO
0000 -19~4 -107331 -088986 -073383 -059844 -047941 -037382 -027953 -019495 -011881 0001 -19612 -101308 -n88967 -il73367 -059~30 -047928 -037370 -027942 -019484 -011871 0002 00113
-19524 -19H9
-107lt41 -10729
-n88912 -ii88~118
-07331t -073238
-059786 -059715
-047889 -047824
-037334 -037274
-027908 -027853
-laquo)19453 -1119401
-0l1i4i -011793
001)4 -1gt9175 -106972 -ii88688 -073125 -059614 -047733 -03790 -027775 -019328 -011724
0006 -118590 -06525 -088317 -072802 -059327 -047472 -036951 -027553 -019120 -0011528 0008 0010 0012
-17787 -1gt757 -1gt5516
-105902 -105103 -104133
-ii87797 -~ 8732-086321
-1172352 -071 774 -071069
-058925 -0011410 -057782
-047108 -046640 -046070
-036616 -036186 -03MI
-027241 -02842 -026354
-018828 -1118454 -017998
-Ol1254 -010901 -010470
0014 -1gt057 -102994 -ii853611 -070239 -057041 -045397 -035041 -025779 -617458 -009962
0016 -1gt2409 -11)1692 -084274 -069286 -056189 -044622 -034329 -025116 -016837 -009377 0018 0020
-1105711 -118076
-100233 -098622
-083043 ii81678
-068210 -067015
-055227 -054157
-043747 -04gt773
-033523 -03224
-024366 -02J530
-1116135 -1115351
-0oa74 -007975
0025 -1 i2920 -093983 -071710 -063522 -051018 -039910 -029982 -021069 -013042 -000796 0030 -1n650 -088571 -073012 -059300 -047248 -036458 -026788 -018089 -010242 -003150
0035 -099117(1 -1182512 -067670 -054559 -042891 -032450 -023067 -014609 -006967 -000052 00110 0045 0000 0060
-091956 -0114059 -075852 00872
-075911 -068859 -061431 -0 45675
-ij61772 -ii55396 -~48607 -034016
-1149215 -laquo)43385 -0371ZA -023534
-nn996 -0J2617 -0gt6806 -014069
-027925 -022924 -017492 -005500
-0lBe51 -014172 -009067
002274
-010654 -006252 -0oi432
009334
-11113237 ) 00926 005497 015751
003484 0middot07438 011798 02584
0070 -0088) -029007 -018365 -00877A -1)00107 007758 01 4901 021 397 027304 032674 0080 0090 0100
-02252~ -113795
0i531
-011660 0116205 024471
-iin1911 ~15164 032732
006877 023239 0 40115
014828 030538 046875
022039 037151 052942
0 28589 043150 05tl433
034543 0411596 063405
1)39956 1153538 067904
044873 0511018 071971
0120 039Z7 061A96 ii6lS982 n75317 080999 086108 0911702 094829 0911530 101h2
0140 0)3234 100181 106307 111741 116570 120867 124693 128092 131101 13-754 0160 0180
1296 172999
139068 178394
44396 183046
149071 1amp7073
103119 90563
156791 193580
159955 196178
162720 1911393
165125 gt00265
167198 201826
0200 23265 2181153 22123 225592 228543 2JI042 -33139 234875 236282 237388 0250 34630 318gt16 321128 323479 325350 J26801 327P81 328629 -29077 329253
0300 46656 419342 421383 422889 423937 424588 424888 424875 424579 424028 0300 0400 0450
59101 6183)74760
521081 623239 725697
522437 1124037 726031
523275 6211333 125873
523673 624200 125296
523689 623695 724357
523367 622864 723099
52745 62i743 721 558
521854 120361 719763
520718 618743 717740
0500 8785) 828379 1128319 A27775 1126820 820510 1123888 821988 A19841 II 17470
0500 9 on 054 931234 930834 929956 928675 927043 92105 92gt895 920442 917769 0600 104349 lO34225 lii33527 1032358 1030790 102A877 1026662 1024180 1021457 101819 0650 0700
117718 12411 49
1137325 240516
1136364 1gt39320
113493A 1237663
1133116 1gt35615
1130954 1233231
1128494 1230551
1120769 122760
1122809 1gt24436
1119636 li21052
0750 1344630 1343781 1342374 IJ4(1510 1338258 133t673 1332796 1329660 n26294 132-720
0800 1448153 1447109 1445511 1443459 1441022 14311255 1435199 14 31 887 1428346 1424599 0850 0900 0950 1000
155171- 165530 ]7lt8921 181I256
1550491 1653918 175786 IIloOIl88
1548718 151986 1755307 1858673
154495 1149606 1752782 11156015
1543890 1646847 1149881 11152982
1540957 H bullbull 43762 1741656 1849627
1537737 1640392 1743148 lIh4S992
1534264 163770 1739389 18 4Z107
1530563 1$32924 1735408 11138001
1526660 1628876 1731227 1833697
1100 20990 2()67982 21)65523 2062625 2059356 2055769 2051904 2047793 21)43463 2038937 1200 227731 2275173 2272501 2269394 Zi65919 2262129 2258063 2253754 2249229 224451)9 1300 1400 1500
4A4774 2692278 2899AIA
2482443 2689776 2897163
2479583 2686749 21193985
2476290 28329 2A90379
2472634 2679473 211S6415
2468664 267t343 2AB2141
2464421 2670942 2877598
245q937 2666302 28728 18
2455239 2661449 2867826
24511347 2656405 2862644
Page 102
TABL 9 (CONTINUEO)
H3 IJMOLE)
T~middot 006(1) 00640 00650 00700 00750 00800 00900 OOOO Oll 00 Oll00
00
0000 00t1 0(1)2 00(13 0004
-0rS013 -00004 -04971 -0(4931) -0~4116C
1)00000 000009 0(01)360)1)080 000143
001191 ~01200 iiOlntgt ii01270 iiOl3n
006799 006A07 1)068llt 00687lt 006934
011867 011875 011899 011939 011996
016443 01451 016474 016513 016567
0l42Al 024289 024 ]10 024346 024397
0305M 0lri591 0]06 11 03Q645 030693
035561 035567 1)35587 035619 1)35663
039377 039383 039402 039432 039474
001)6 oOos OOH 00tgt 0014
-01I467Q -0~4410 -O408C -03677 -0319r
000321 000571 000R92 001284 101747
1101)1509 ~01756 01)2074 00243 ii02921
1)07103 007330 0(764)oollon I)OR451
012158 o123A4 012675 013031 013451
016n3 016941 017220 017562 017965
024542 024744 025004 0l5322 025698
0308211 031018 03i262 03j560 031 9 12
035791 035970 031201 036482 036814
039596 039766 039984 040251 040566
0011 0018 0020 0025 0030
-0l264 -02012 -01311
l)ii0756 03(61
002280 002884 003558 005546 007962
003449 004047 004715 ii(l6684 009078
008951 00952F 0101Alt 0120411 (I1 433S
013934 014482 015094 016899 019096
018430 0111957 019545 0212Bl 023394
026130 026620 027168 028 784 030753
032318 03~778 0332(11 034808 036656
037197 037631 n]A1l5 0]9547 041293
040929 041341 041800 043160 044816
003S 0040 0045 00ltgt0 001l0
0116217 O~977 0i314f n17O~ 0gt6A8~
010797 014039 017675 Oc1688 030770
0118B7 nl)101 ~ ii2c68S ii31695
017027 O2010~ n23563 n273l1 036051
021677 024635 127960 031639 040003
025A79 (I2A728 031932 035481 04)563
033070 035729 0311723 0 42044 049628
038830 04i331 044148 047276 054434
0middot43349 045712 0411377 051339 058127
046769 049014 051547 054364 060829
0070 00110 0090 01(10 O po
O~7551
04933 0 2074 1)763Q 1-479
041129 052600 065036 078307 106Q20
041979 n53375 n65738 078938 l07418
045981 057026 069037 08194 109732
049606 060314 071995 iIA4531 111759
052864 063163 074636 0136867 113516
058390 068230 0711040 0010714 116286
062729 072077 0823A6 09)559 11A152
066015 0 74927 n84787 095508 1101208
068356 076882 086337 096647 119529
0140 0160 OlAO 0200 OSO
136077 IAA96~ 230911 28221 3gt9170
137717 17075 203926 238705 328956
138 097 170451 204107 38BOl )28878
191133 171671 0048601 23914Q 32113lt
141306 172649 205401 239279 327647
142532 173396 20717 2301206 3lt6748
144303 174256 205754 2311497 324447
1415247 174350 205072
~21 54 1
145449 1 73756 203744 235109 318094
144919 172539 201834 232559 314159
0300 43242 422460 422243 421046 419666 41A115 41 4547 4104 14 405781 400702 0350 0400 0450 0500
519350 fIii691ii 715508 11489
518125 615303 713585 812702
r17797 1S14882 713086 A12136
S16047 612673 710489 A)9206
014123 610297 707731 A06120
512038 607767 70_11124 A02888
507427 602286 698604 196030
5002118 596302 691899 7BA703
496684 1)139873 614767 780964
490659 583048 617251 772858
0550 0600 060 0700 0750
0Il4891 10i538f 11627 12i747A 13A951lt1
912468 1012750 1113450 1214494 1315A26
911844 1~12074 1i12728 1213731 131502
908624 1008599 1109027 1209821 110937
905251 1004974 1105177 1205775 106704
901736 100110 1101191 1201590 1300340
1194323 993305
1092849 1192857 1293251
886452 984954
1084070 1183692 1283739
R71n80 h76211
1074907 1174152 1273857
16955] 967U3
10615406 1164280 1263649
OIlOO 14gt0667 1417399 1416566 1412310 1407913 1403384 1393974 1384145 1373952 1363438 0850 Ogeo 0900 1000
)5gt2571 1624645 176864 18gt9212
1519181 1621140 1723gt55 1825506
1518317 1620248 1722337 1824564
15139)A 1~15700 1711660 11119767
1509360 1611013 1712845 1814834
1504682 1606198 1707903 lA09774
1494976 1596221 1697616 1799316
1484858 158r836 1687045 I18A457
1474]80 1575096 1676063 1777250
1463586 1564044 1664173 1765739
1100 1200 13eo 1400 1500
2034233 223911 lt445B 2C1l8A 1lr729lt
2030)54 2235582 ~441117 2646903 2852R98
21)29368 2234559 2440060 2645816 2A517e4
2024357 22293501 2434693 2 40301 2A46136
2019210 2224026 2429196 2634656 21140358
2013940 221111570 2423577 26211~91 2B34462
2003064 2201330 2412013 261 7039 21322350
199195 2195702 2400061 26048014 28Oq863
lQe0185 2183737 2187789 292250 21Cl7052
1968276 2171479 2375222 2579406 2783959
Page 103
TA~LF 9 (CONTINUED)
H3 (JMOLEI
TI 01301) 01400 01500 01600 01800 02000 02250 02500 02750 OlOOO
(KI
0000 042167 044040 045089 045391 044012 0 4 (1334 033005 023100 011009 -002960 Ooni 000 0on3 0004
042173 04219 042219 042259
0441)46 0441162 0441190 044129
1)45094 n45110 1)45137 n4S174
1)453911 n45411 045417 1)454n
044016 044031 044054 0440R8
04n]38 040352 040374 040405
0l3009 033021 033042 033071
02104 024116 024136 0211(3
1111013 (loll 024 011043 011 069
-n029i6 -00gt945 -00292A -002903
0006 0008 0010 0012 0014
042370 042537 042745 04gt999 043299
044gt39 044394 044093 044836 045123
n4)2Ao n45428 045619 0451152 046128
045575 04lt77 0459n (104(1204(391)
044183 044316 044487 044696 044943
040495 040620 ()40781 040977 04)gt09
03355 n3372 n33422 033605 0331122
02242 023351 021493 02)665 02869
1)11143 011247 01138 1 011544 011737
-nOtl32 -00gt7]3 -00~606 -002451 -00gt267
0016 043645 045454 046446 046696 045228 041477 03+072 024104 011960 -002055 0018 0440311 045829 046805 047042 045SH n41781 034355 024370 012212 -0018tl 0020 0444710 046248 n47208 n47429 045912 042120 0341011 0246611 012494 -001547 0025 0030
1)45771 n4735)
047487 048999
1148397 1)491147
0411573 1)49970
046979 048281
041122 044347
035607 036750
025549 026624
(I 13327 014346
-000753 000216
0035 049212 050780 )51558 1)51616 049A18 045791 038099 027894 015548 00360 0040 0045Ooso (IOM
051354 00371 1 00(461 010264
0521130 05gt145 057723 n63(48
0S3S26 0)5750 058226 063923
1153511 055653 0511039 063530
051586 0middot53586 055815 060950
047454 049336 0H433 056269
03653 041411 043371 047A94
029356 031011 03857 037119
016933 0111501 1120251 024290
002679 004172 005839 009687
0070 069F47 070168 1170585 069957 066968 061943 053207 04212F1 029041 0014216 0010 078026 078434 0711168 077283 073842 06A433 059291 047871 034493 019415 0090 0100
0~710(171)5gt
087192 096785
1186625 095902
0A5464 094451
081536 090009
070710 0113741
1)66125 073681
054330 06l4
040629 n47433
025272 031772
0120 11QI8) 118gt19 116693 114644 109124 101915 090838 077764 062954 046625
0140 143894 14247 140080 13743 130821 1226415 1111501 096493 oFlOMl 063805 0160 0180 0200
170754 199)Q 2-9lt011
168447 196463 225998
165659 193085 22066
16t420 189290 211741
)04740 1 11 0565 208026
145599 170482 1 Q7035
132381 156204 1081727
117422 1402H 164890
100942 122966 146715
083126 104379 127362
0250 3977Q 304994 099835 [194331 [182385 26Ql22 251626 232602 212419 191220
0300 395219 389369 383182 376684 62R43 347998 3211217 307253 285263 262316 0350 4114255 477507 470447 463100 447635 431255 409667 387007 63422 339032 0400 5751167 56F1365 060567 552497 535630 517914 494745 470595 445603 4198AO 0450 0500
6Q401 74420
661247 7551191
152RI0 746701
4411A 13746gt
6260S0 718332
61)774 911444
582615 72671
557146 646035
030901 618674
50991 590697
0550 IIl060Fl 851379 A41892 FI3171 812103 791309 764454 736789 708436 679504 0600 957726 948052 938128 9279711 907074 885473 857645 829047 799809 770025 0650 0700
1055604 1154114
1045533 1143684
1035218 1133011
10246A4 1122136
1003030 1099805
980703 107821
Q52001 1047326
92562 1017123
1192511 986337 ~ 955068
07S0 1253153 1242398 1231411 1gt20214 11Q7268 1173687 1143470 111gt571 1081113 1049194
0800 1302640 1341589 1330310 1318826 195318 1271191 1240312 12011175 1176700 1144186 0850 1402512 1441189 1429643 1417895 13Q3R71 n69242 1331755 1305630 1272987 1239923 0900 1502717 1541144 1529351 1517360 149859 1467767 1435719 1403051 13M88 1336310 0950 1000
1603211 173959
1641406 1741940
1629385 1129701
11717 17172A3
59229 1691932
1561708 1666012
153439 1632960
1500967 159939
1467310 1565207
1433265 1531)7lt2
1100 1906103 1943697 1931083 19182R lR92193 lf16i554 1831627 1197138 P62204 1726921 1200 13GO
215896 gt3 24011
2146211 2349353
2133268 2336107
2120136 2226A2
2093398 2295368
2066126 2267533
2031428 2232151
1996192 219250
1960534 2159946
1924547 2123331
1400 1500
25 6312 2770619
2552996 2157061
2539484 2143309
2525796 2729384
2497966 2701088
4(9627 2672295
2433632 2(35746
2397135 259R711
gth60251 2061303
2323074 2523616
Page 104
TABLE 10
THE OSMOTIC PRESSURE OF HE3 IN HE AND THE EXPRESSION -[ ~4(X T) -~4 (TwO)]
OSMOTIC PRESSURE bull P OSM -[ ~4(X T) -~4O(T=O)] bull U
)( 00001 X bull 00002 X bull OOOO X bull 00010 X bull 00020
P OS U P 0514 U P OS U P OSM U P OSM U (Kl TORR) IJMOLEI CTORRI CJMOLEI (TORRI CJMOLEI nORRI CJMOLEI CTORRI IJMOL[I
0000 bullbull 810middot00 1783-006 15lmiddotmiddot00l 56middot2middot006 6978-003 2566-00 2181-002 8020-005 6769-002 2bullbullbull9-00 0001 0002
5509-00 7002-00
2026006 2575-006
1620-003 18l-00l
5956-006 6778-006
709l-00l 7 bullbull26-00l
2608-005 2731-00
2196_002 2238002
8073-00 82l1-005
6787-002 681-002
2 bullbull96-00 2516-00
0003 000
880-00 1OA3-003
3250-006 398Z-006
21511-003 2506-003
791l-006 9216-006
79-003 8612-003
2923-005 3167-005
2308_002 2 bullbull0l-002
8bullbull88-005 8836005
6931-002 7056-002
2Imiddot9-00 2 595-00
0006 151)2-003 5SiH-006 3281-003 1208-005 1021-002 l756-005 2650-002 975-005 7bullbull01-002 221-00 0008 0middot0100012
1 93l-003 2371-00l 28lmiddot003
7108-006 8719-006 103-005
middot1l0-003 4959-003 5822-003
1511-005 1823-005 21middot1-005
120l-002 1397-002 1599-002
bullbullbull25-005 5138-005 5879-005
295l-00Z 3292-002 365middot-002
1086-00 10210-004 1middotmiddot00middot
7855-002 8393-002 8996 002
2 888-004 3 086004 3 308-004
001middot 3257middot00l 11 98-00ll 6693-00l 2bullbull61-005 1806-002 6639-005 4034-002 1483-00 9648-002 3548-004
0016 37112-003 1361-005 7571-00l 2784-005 201 6-002 7bullbull12-00 4426_002 1628-00 103-001 3801-004 0018 0020
bullbull 149_00l bullbull596-003
1526_005 1690-005
8 bullbull54_003 9339-00l
3109-005 3434-005
2228-002 2443-002
819-005 8983-005
4828_002 5236_002
1775-00 1925-004
1106-001 1180-001
4066-00 bullbull 3l9-004
0075 0030
5 718_003 681-003
2103_005 2516-005
1156-00Z 1380-002
4252-005 507-005
2986_00Z l534-002 1~g8 6279002
7344_002 2l09-004 2701-004
137-001 1575-001
s051-004 5 191-00
0035 7966-003 2930-005 160-002 5898-005 bullbull 086-002 1503-00 8 bullbull23-002 3097-00 1781-001 65bull 9- 004 000 9093-003 3345-00 1828-002 672-005 bullbull641-002 170700 9511-002 3bullbull97-00 1991-001 320-00 0045 0050
1022-002 1135-00Z
3761-00i 4177-00r
2053-00Z 2278-002
7551-005 8379-005
5197-00Z 575-002
1911-00 2116-00
1061-001 1171-001
3900-00 bullbull305-004
2203-001 2 bullbull17-001
8101-004 8 889-004
0060 13M-002 5011-00- 2728-002 100middot-00middot 6872-002 2528-00 139pound-001 5middot118-00 2850-001 1 048-003
0070 OORO 0090
1586-002 1h2-002 20l8-002
5848-005 6690-005 7537-005
3178-002 3629-002 bullbull 080-002
11 70-004 1l37-00middot 1505-004
799l-002 9116-002 10Z-001
2941-00 3l55-00 3770-00
161 4-001 1837-001 2060-001
59l6-00 657-004 7580-00bull
3287-001 3727-001 168-001
1209-00] 1037 1-003 1533-003
0100 0120
224_fl022715-002
8391-005 1013-00
bullbull5n-002 5435-002
1673-00 2012-00middot
1136-001 1362-001
bullbull 185-004 5021-00
2284_001 2732-001
840500bull 1006-003
4611-001 5500-001
1 696-003 2 02-003
0140 l17-002 119 1-004 6338-002 2357-004 1587-001 5861-004 l18Z-001 10172003 6393-001 2 353- 003 011i1) OlFJO o 00
l619-002
g~~gg~ 1l75-004 1568-004 1712-00
7241-002 815-00~9048-00
2707-004
~2~~8g 1812-001
~~~2ggl 6709-004 756-Og48432-0 4
36l1-001 4g81-oo 1bullbull 1 -001
103middot0-003 lII98-g03 16 7- Ol
7287-001 R18~-gol907 - 0
2 684-003
Ju~gn 0250 5603-002 2345-00 11l1-001 bull bullbullcmiddot-OOmiddot 2 828-001 1066-00l 5658-001 2107-003 1132middot000 41 91-003
Oloo 67~002 3046-00 1357-001 5540-on4 3392-001 1302-003 6785-001 250-003 1357middot000 506-003 0350 0middot00
7914_002 904_002
3932_004 5068_004
1583-001 1809-001
6842-004 8394-004
3957_001 bullbull 521-001
1557_00 1837-003
7913_001 901-001
3012-003 3bullbull99-003
1582000 1807middot000
5 920-003 6820-003
0450 0501)
1017-001 1110-001
653l_004 8412-00
20l5-001 2Z61-001
1027-003 12gt7-003
5g86-001 5 51-001
219-003 2503-00l
10P00O 1130000
4018-003 middot580003
2033000 Z258middot000
7 753-003 828-003
0550 1244-001 101f 0-003 2487-001 1537-003 6Z16-00l 2908-003 1243middot000 5192-003 2bullbull83middot000 9 15-003 0600 0650 0700
13r7-001 1bullbull70-001 15I1l-001
131S1-003 1757-003 2227-003
2713-001 2939-001 3165-001
1880-003 2Z97-003 2809-003
6780-001 7345-001 7910-001
3l76-00l l917-00l bullbull 554-00l
1356middot000 1bullbull68middot000 1581middot0011
5(167-003 66~60037bullbull 9-003
2709middot000 293bullbull000 3160-000
1middot08-002 1middot20n-002 l l 26-002
075n 1696-001 28e7-003 3391-001 3bullbull50-003 e475-001 5320-003 1694+000 8bullbull33-00l 3385middot000 1 465-002
0800 0850 0900
181)9-001 1922-001 2035-001
361Z-003 bullbull 669-00l 6122-003
3617-001 3843-001 4069-001
bullbull 217-003 5375-003 6870-003
900-001 9605-001 1017+000
6271-003 7bullbull94-003 9113-003
1807000 19200011 2033 +000
9r91-003 10102-002 1785002
3611middot000 3836+000 4062000
1622-002 1807-002 2 031-002
0950 1000
2148-001 2261-001
81 4O-OOl 1094-002
4295-001 4521-001
8929-003 11 77-002
1073000 1130000
1130-002 1426-00Z
2160011 225900011
152middot-002 1R41-002
4287+000 bullbull5130000
2 311-002 2 67 0-002
1100 74117-001 2002-002 4973-001 209-002 1243+000 2l68-002 248000 224-002 4964+000 3 136-002 1200 1300 14110
27)3-001 29~9_00l 315-001
l618-002 6319-002 1061-001
5 bullbull25-001 5878_001 6l311-001
3717-002 64i7-002 1072-001
1 356000 1469+000 1582+000
bullbull 017-000 6751-002 1107-001
Z710000 2936+000 316Z+000
bullbull 515-002 7290-002 1165-001
5415000 5866+000 6317+000
5509-002 e l68-OO2 1 281-001
1500 ll91-001 1713-001 6782-001 17C6-001 1 695+000 1763-001 3388+00U 1825-001 6768+000 i950-00l
Page 105
TABLE 10 ICO~TINUEO)
X 00030 X 0000 X 00050 )( 00060 )( bull 0middot0080 T P OSM u P OS U4 P OS U P OSM U P OSM u
11lt1 (TORR) (JOLE) (TORR) (JMOLEI (TORR) (JMOLE) ITORR) (JMOLEI (TORR) tJMOLE)
0000 t3116-001 803-00 2076-001 763middot-004 2967-001 1091-003 3966-001 1bullbull58-003 62bullbull-001 2 296-003 0001 0002 0003 000
1308-001 1315-001 1325-001 1339_001
bullbull811-00 bullbull83_00 bullbull872-004 bullbull925-00
2079-001 2085-001 2097-001 2113-001
76middot3-00middot 7668-00middot 7710-00middot 7769-00 4
2970-001 2 977-001 2990-001 3007-001
1092-003 109S-003 1099-003 1106-003
3969_001 3977_001 3990_001 bullbull 008_001
1bullbull59-003 1462-003 1bullbull67-003 1474-003
6247-001 6256-001 6270-001 6291-001
2 297-003 2 30 0-003 2 306-003 2 313-003
0006 1380-001 5074-00 2158-001 7935-1)0 4 3056-001 112-003 4060-001 1493-003 6348-001 20 33-003 0008 0middot010 0012 001middot
1middot5-00115112-001 1579_001 1665-001
5276-00 5523-004 5807-004 6122-00
222rOOl 229 -001 2387-001 2488-001
81 62-004 8445-004 8776-004 91 49-00
3123-001 3208-001 3308-001 3423-001
11middot8-003 11 80-003 121fo-003 12511-003
middot132-001 4223-001 middot332-001 bullbull 457_001
1519-003 1553-003 1593-003 1639-003
6 428-001 6 530-001 6652-001 fo795-001
2 36-003 2 401-003 2 4bull 6-003 2 498-003
0016 0018 0020 0025 0030
1707-001 1855-001 1957-001 2228-001 2513-001
6461-004 6821-004 71 96-00 8191-00 92middot1-00
2599-001 2718-001 28bullbull-001 3181-001 353-001
9557-004 99115-004 1046-003 1170-003 1303-003
3549-001 3686-001 3832-001 bullbull 228-001 658-001
1305-003 1355-003 1middot09-003 1555-003 1713-003
bullbull 597_001 bullbull 749_001 bullbull912-001 5360-001 5852_001
1690-003 176-003 1806-003 1971-003 21 52-003
6955-001 7132-001 732-001 78amp0-001 860-001
2551-003 2 623-003 2 693-003 2 890-003 3111-003
0035 000 005 0050 0060
2809-001 311 3-001 3middot22-001 3735-001 bullbull 371-001
1033-003 11 45-003 1258-003 1373-003 1607-003
3921-001 bullbull 3U-001 bullbull 712-001 5119-001 599-001
1bullbullmiddot2-003 1586-003 1733-003 1882-003 21 88-003
5112-001 558-001 6070-001 6567-001 758-001
1880-003 2053-003 2232-003 2415-003 2789-003
6376-001 6925_001 7bullbull92-001 8074-00l 9270-001
2345-003 2546-003 2755-003 2969-003 3bullbull 09-003
9110-001 9797-001 1051middot000 1125middot000 1279middot000
3350-003 3 602-003 3866-003 4138-003 bullbull r02-003
0070 0080 0090 0100 0120
50t5-001 565-001 6320-001 6 978-001 8301 001
18middot-003 2083-003 232-003 2567-003 305-003
6795-001 7650-001 8513-001 938ii-001 1113-000
2bullbull99-003 2813-003 31 31-003 3bullbullSo-n03 bullbull 095-003
8623 001 9678-001 107middotmiddot000 1182000 1399000
3171-003 3559_003 3951-003 437-003 5146-003
1050000 1175000 1301+000 14ii9000 1688000
3860-003 middot320-003 bullbull 785-003 5256-003 ~206-003
1 437000 1600middot000 1765000 1932+000 2272000
5286-003 SA83-003 6 49 1-003 7106-003 8 35-003
0140 9631-001 35bullbull-003 1289middot000 bullbull 73-003 1618000 5951-003 l9middot1J+000 71 67-003 2615middot000 9middotamp18-003 OlfoO 0180 0200 0250
IOCJ6middot000 1230middot000 136-000 1700middot000
bullbull 036-003 4531-003 5027-003 6277-003
1bullbull6~middot000 16bullbullmiddot000 1822+000 2268middot000
5396-003 6051-003 6709-003 8365-0(13
1838middot000 2059+000 2280middot000 2836middot000
6762-003 7577-003 8395-003 1045-002
2211middot000 2 bullbull75-000 274110011 3 bullbull0middot-000
81 34-003 9107-003 1middot008-002 125middot-002
2962middot000 3310middot000 3661middot000 452+000
)089-0021218-002 347-002 1673-002
0300 0350 0400 0bullbull50 0500
2036000 2373000 270000 3047000 33e-000
7542-003 8827-003 1014-002 1148-002 1287-002
2715+000 3163000 3611middot000 bullbull 060000 bullbull509000
100-002 1113-002 1345-002 1521-002 1701-002
3393000 3952000 bullbull512000 5072000 5632000
1253-002 1bullbull63-002 1676-002 1893-002 2114-002
middot072000 bullbull7410011 5411+000 608ii+000 6754000
1503-002 1753-002 2007-002 2264-002 2526-002
5421middot000 6315+000 7206middot000 8098000 8991middot000
2001-002 2 332-002 2667-002 3005-002 3 348-002
0550 3722middot000 1431-002 959-000 18116-002 6193000 2340-002 7426000 ~793-002 988000 3697-002 0600 0650 0700 0750
bullbull 060-000 4397middot000 4735-000 0073middot000
151lt002 1738-002 1906-002 20116-002
5bullbull08+000 5858middot000 6307middot000 6757middot000
2077-002 2275-002 2bullbull84-002 2705-002
675middot000 7315middot000 7877000 8bullbull39middot000
2512-002 2812-002 3061-002 3323-002
809111000 8771+000 9bullbull4middot000 1012middot001
3066-002 33middot7002 3637002 3940-002
1078-001 1167middot001 1257middot001 136middot001
bullbull 052-002 414-002 bullbull 186-002 IIln-002
0800 0850
5bullbull0000 5748000
2284-002 2510-002
7207middot000 7657000
295-(102 3212-002
9000+000 9562000
360-002 3912-002
1079001 11middot6001
4262002 4611-002
1middot36middot001 1526001
5575 002 6006-002
0900 0900 1000
6086middot000 6424+000 6762000
2775-002 3097_002 3bullbull97-002
8107000 8557000 9007000
3518-002 3881-002 323-002
1012001 1069+001 1125001
4260-002 466-002 517-002
1214001 1281001 138+001
5000-002 546002 5969-002
1615middot001 1705-001 1795+001
6middot77-002 7004-0027 610-002
1100 7bullbull38middot000 66-002 9907000 5554-002 1237001 6460-002 1bullbull83001 7365-002 197-001 9169-002 1200 1300
811middotmiddot0008790000
6501-002 9 bullbull3-002
1081001 117hOOI
7bullbull92-002 1052-001
1350001 1 462001
881-002 1159 001
1618001 1753001
9468-002 1266-001
2153+001 2333001
1144-001 1479-001
1middot00 1500
9466middot000 101middot001
1397-001 207-001
126hOOl 1351+001
1513-001 21 97-001
1575001 1687001
1628-001 2321-001
18811001 2023001
113-001 2bullbullmiddotmiddot-00
2512middot001 2692+001
1 973- 00 2 691-001
Page 106
TABLE 10 (CONTINUED)
It bull 00100 X bull 00150 X bull 00200 X bull O O4ljO X bull Ch0300
p 0514 U4 P OSM U4 POSH U4 POSH U4 P OSM U4 (I() ITORR) IJMOLE) (TORR) (JMOLEI nORR) IJMOLEI (TORR) (JMOLEI (TORR) IJMOLpound)
0000 8845-001 3252-003 1647+000 6056-003 2532+000 Q310-00J 3506+000 1289-002 4545+000 1671-002 0001 8848_001 3254-003 1647+000 1gt057-003 2532+000 9312 003 35060000 189-002 4546 0000 1 67 1-0020002 8811i8-001 3257-003 16480000 1gt061-003 2534+000 9316-003 35080000 1 bull 90-002 4547+000 1672-002 0003 8873-001 3263-003 1650+000 1gt068-003 2535+000 93gt3-003 3510+000 129 1-002 4549000 1 6n-002 00114 A8Q5-001 3271-003 165J+000 6077-003 2531hOOO 9333-003 3513+00u 1292-002 4552000 1674-002
0006 8957-001 3294-003 166U-000 6103-003 2546+000 9362-003 3521-000 1295-002 4561+000 1677-002 0008 q044-001 3325-003 1670+000 61 40-003 2557+000 Q403-003 3533-00U 1 bull 99-002 4574-000 1 682-002 0010 9154-001 3366-003 1683+000 61 87-003 2571-000 9454-003 35480 0011 1305-002 4590-000 1688-002 0012 92A8-001 3lt15-003 1698_000 6244-003 2588+000 9518-003 3567+000 1312-002 4610-000 1 695-002 001 4 Q1I44-001 31172-003 1716+000 6311-003 2 609-000 9592-003 3589_000 l3l0-002 4633+000 1104-002
0016 9621-001 3538-003 1737+000 6387-003 2632-000 9677-003 361 4-000 1329-002 4660-000 1 714-002 00)8 98]8-001 3610-003 1761000 6473-003 2658000 9774-003 364 ii000 1339-002 4691000 1 725-002 0010 1003-000 3689_003 1786+000 6568-003 2687+000 9880-003 3674000 1351-002 4725000 1 737-002 0025 104_000 3913_003 1861+000 6842-003 2772000 1019-002 3767000 1385-002 4824+000 1 77002 0030 11]3000 It167_003 1948+000 71 62-003 2872000 1056-002 3977000 1426-002 4943+000 19 19-002
0035 1209-000 11445-003 204imiddot000 7520-003 2 986+000 1098-001 4005+000 1473-002 508+000 1 869-002 0040 1iiQO+000 4743-003 2151-000 7911-003 3112000 1144-00 4147middot00U 1525-002 5238+000 1926 -0020045 1375000 5056-003 226i+000 8329-003 3248-000 1194-002 4302+000 1582-002 5409-000 1 989-002 0050 1464000 5382-003 238HOOO 8769-003 33911-000 12118-002 4469+000 1643-002 5594-000 2057-0020060 1648+000 6061-003 2639000 9703-003 3706+000 1363-002 483ii+000 1777-002 6001+000 2 207-002
0070 1841+000 6769-003 2908+000 10laquogt9-002 4042+000 1486-002 5227000 1922-002 6 448-000 2 37 1-002 OOM 2039000 7497-003 3187-000 1172-002 4395+000 1616-002 5645000 2076-002 6 927+000 2 547-002 0090 2241+000 8241-003 3476-000 1278-002 4761+000 1751-002 6083000 2237-002 7430-000 2732-002 0100 2446+000 8996-003 3771000 1387-002 5139+000 1890-002 653700U 2404-002 7954+000 2 925-002 0120 2864000 1053-002 4 37i+000 1609-002 5917000 2176-002 7479+000 2750-002 9050+000 3 328-002
0140 32A8~000 ]209-002 4993-000 1836-002 6719+000 2471-002 8455-000 3109-002 10 0 19+00 1 3 148-002 0160 371 7000 1367-002 5621-000 2067-002 7538-000 2772-002 945700U 3478-002 1152+001 4 235-002 Oleo 4149+000 1526_002 6257000 2301-002 8 4 011 +000 3091-002 1050001 3963-002 1260001 4634-002 0200 4584 000 1687-002 6897000 2537-002 9208+000 3387-002 1151001 4233-002 1379+001 5072-002 0250 5679000 2091-002 8516000 31 34-n02 1134_001 4172-002 1414 +001 5 bull 01-002 1amp91001 6219-002
0300 6780000 2499-002 1015001 3737-002 1349-001 4967-002 1680+001 1gt184-002 2008middot001 7 388-002 0350 7886000 2910-002 1179+001 4347-002 1567+001 5770-002 19iO-001 7]80-002 2329001 8 573-002 0 400 8995+000 33l5-002 134-001 496 1-002 1785+001 6581-002 2221-001 81 84-002 2652-001 9 769-0020 450 1011-001 374-002 1510-001 558 0-002 200lt-001 7398-00lt 249+001 91 97-002 2977001 1)98-001 0 500 1122001 41 68-002 1676-001 6205-002 2224+001 8222-002 2767001 1022-001 330001 1 219-001
0550 1233-001 4598-002 1842-001 6836-002 2 445-001 9052-002 304Z+001 1125-001 3632001 1 342-001 0600 1345001 5034_00i 2008 001 7473-002 2 666+001 9 890_002 331 7+001 1228_001 3961_001 1465-0010600 147001 5478-002 2175+001 81 19-002 2887001 1074-001 359Z_001 1333-001 4290-001 1590-001 0700 1568_001 5931-002 2342+001 8775-002 3108001 1159-001 3868_001 1439-001 4620+001 1r15-0010750 1 680+001 6398002 2509 +001 94middot5-002 3330001 1246_001 4144+001 15116-001 4951+001 1 1142-001 0800 1792001 6883-002 267amp-001 1013-001 3552-001 1335-001 4420+001 1(55-001 52111 +001 1 971 -001 0850 1914+001 7396-002 2843001 1085-001 3774+001 14n-001 4697+001 1767middot001 5613+001 2middot103-0010900 2015+001 7948-002 3010+001 1160-001 3996+001 1523-001 4974-001 1883-001 5944+001 ZZ39-001 0950 2127001 8557-002 3177+001 12112-001 4218001 1625-00] 5251+001 Cl004-001 6276-001 2 38 1-001 1000 2239 -001 92115-002 3344-001 1331-001 41141001 1734-001 5528-001 21 34-001 6608+001 2 531-001
1100 2463+001 1097-001 3679+001 1511 11-1101 4885+001 1987-001 6083001 2428-001 7272001 2 865-001 1200 26A7+001 1340001 401 4 001 1828-001 5331+001 2312-001 6638_001 2793-001 7937-001 3 27 0-001 1300 2911_001 1692_001 4349+001 2220-001 5776+001 2745-001 7194+001 3266-001 8603001 3 r84-0011400 3135001 2202-001 4684+001 2771-001 6222001 3337-001 7750+001 3899-001 9269001 4 1157-001 1500 339+001 2936001 501 9 001 3546-001 6667_001 4152-001 8306+001 11755-001 9935-001 5 354-001
Page 107
TABLf 10 (CONTINUED)
)I bull 00350 X bull 00400 X bull 00450 ~ bull 00500 X 0O5gt0
T P OM U4 POSH U4 P OSM U4 P OS U4 P OSM U4 (K) (TORRI CJMOLE) CTORRl IJMOLE) nOAA) (JMOLE) (TOAA) (JMOLEI (TORA) IJMOLEI
0000 0001
1]631+000 5631+000
2070 002 2071-002
6748+000 6749+000
2481-002 2482-002
7885+000 78116+000
2899-002 2900-002
9031+000 9034000
3321-002 3321-002
101 1hOOl 101A001
3 742- OO 3 73-002
0002 0On3 0004
5633000 563150000 5 618000
2071-002 2072_002 2073-002
6750000 6753+000 6756000
2482-002 2483-002 2484-002
7887000 7890+000 7894000
2900-002 2901-002 2902-002
90340011 90360011 9040+000
3322-002 3323002 3324-002
101Smiddot001 1018+001 1019001
3 743-002 3744- 002 3146-002
0006 5648000 2077-002 6766+000 2488-002 7904+000 2906-002 9051000 3328-002 1020+001 3 750-002 0008 0middot010 0012
56amp1+000 678+000 5699+000
2082-002 2088-002 2096-002
6780+000 6798+000 6820+000
2493-002 2500-002 2508-002
7918000 7937+000 7960+000
2912-002 2 9111-002 2927-002
9066 +000 9085 +000 9109+000
3333-002 3341-002 3349-002
1021+001 1middot023001 1026+001
3155-002 3763-002 3 772- 002
0014 7 4+000 2105-002 6846+000 2517-002 7987+000 2937-002 9137+000 3360-002 10029+001 3 782-002
0016 Oots 0020 0025 0030
5752000 5784+000 5 820+000 5 926000 6003+000
2115-002 2127-002 2140-002 2179-002 2226-002
6876+000 6909+000 6947+000 7058+000 7192+000
252R-002 2541-002 c554-002 2595-002 264-002
8018+000 8053000 8092+000 8Z08+000 8348000
29411-002 291-002 2976-002 30111-002 3070-002
9169000 9206000 924600U 9366000 951200U
3HI-002 3385-002 3400-002 3444-002 3498-002
1032+001 1036001 1040001 1052middot001 1068+001
3795-002 3809-002 10 11 24-002 3870-00~ 31i25-002
0035 6201000 2280-002 7348000 2702-002 8512+000 3130-002 9684+000 3061-002 1085001 399 1-002 0040 0045 0050
6368000 504+000 6755+000
2342-002 2410-002 2484-002
7526+000 772000 7940000
2767-002 2840-002 2919-002
8699+000 8908000 9137000
3199-002 327S-002 3360-002
98711+0011 1010001 1034+001
3633-002 3713-002 31101-002
1106001 11211+001 1154+001
4066-002 4149-002 4442-002
0060 7201+000 2648-002 8420000 3096-002 9649+000 354111-002 1088+001 4000-002 1210001 4450-002
0070 0090 0090 0100 0120
7695+000 9227+000 A792middot000 93R2+000 1062+001
2829-002 3025_002 3233-002 3450-002 3906-002
8956+000 9539000 1016+001 1081+001 121 9+001
3293-002 3507-002 3736-002 3975-002 4482-002
1022+001 1085001 1152001 1223001 1374001
3759-002 3990-002 4~3~-002 4498-002 5053-002
1149+001 1216+01)1 1288001 1365001 152t1+001
4225-002 4411-002 4731-002 5017-002 5~17-002
1275001 1346001 122middot001 1504001 1679+001
4 687-002 4 948-002 5 230-002 5530-002 6174-002
0140 11112+001 4385-002 1365001 5018-002 1534+001 5642-002 1702001 6257-002 1866001 61162-002 0160 0180
1339+001 1468 +001
4923-002 5397-002
1527001 1673+001
5615-002 6151-002
1112001 1875+001
6297-002 6894-002
1895001 2073001
61168-002 7625-002
2074001 2268+001
7626-002 amp341-002
0200 1605+001 5903-002 1828001 6723-002 2048+001 7530-002 2263+001 8322-002 2474001 9099-002 0250 1964001 7225-002 2234+001 8216-002 2499+001 9191-00lt 2759001 1015-001 3015001 1109-001
0300 0350
2331+001 2702001
8576-002 9947-002
2649001 3071+001
9746-002 11 30-001
2962001 3 434+001
1090-001 1264-001
3270001 3791+001
1203-001 1395-001
3573001 4142001
1 314-001 1l24-001
0400 0450
3078+001 3455001
133-0011273-001
3498+001 3927+001
1289-001 1447-001
3911+001 4393001
1441)-0011618-001
4319+001 4851+001
1590-001 1787-001
4720001 5303+001
1131-001 1 953-001
0500 3835001 1414-001 4359001 1607-001 4877+001 1797-001 53870001 1985-001 5891001 2 17 0-001
0550 4216+001 1556-001 4793+001 1769-001 5363+001 1979-001 5926001 2185-001 6482+001 2390-001 0600 4598+001 1700-001 5229+001 1931-001 5852+001 2161-001 64611+001 2387-001 7076+001 2 611-001 0650 0700
4991+001 5365001
1844-001 1989-001
5665001 6103+001
2095-001 2260-001
6342+001 6833+001
2344-001 2529-001
7011+001 7556001
2590-001 2795-001
7672001 A270middot001
2 833-001 3 057- 001
0750 5750001 2136-001 6541+001 2427-001 7325+001 2716-001 8102001 3001-001 9870001 hil93-001
0800 6135001 2285-001 6980+001 2596-001 7818+001 2904-001 8649001 3210-001 9471001 3512-001 0850 6520+001 2437-001 7420+001 2768-001 8312+001 3096-001 9196+001 3421-001 1007+002 343-001 0900 0950
6906+001 7292001
2593-001 2755_001
7860+001 8301+001
2944-001 31 26-001
8807+001 9302+001
3292-001 3494-001
9745+001 1029+002
337-001 3859-001
1068+002 1128002
3 979-001 4 22 1-001
1000 7679001 2925-001 8742+001 3316-001 9797+001 3704-001 1084002 4089-001 119900C 4471-001
1100 8453+001 3299-001 9625001 3730-001 1079+002 4158-001 1195002 4584-001 1309+002 5 006-00 1200 92t7+OOl 3745-001 1051+002 4216-001 1178+002 4685-001 1305002 5150001 1431002 5612-001 1300 1000+002 4299-001 1139+002 4811-001 1278+002 5320 001 1415002 5A25-001 1552002 63211-001 1400 1500
1078+002 1155002
5012-001 5949-001
1228+002 1317002
5564-001 6542-001
1377+002 1477+002
6114-001 732-001
1526+002 1637+002
6660-00 7718-001
1674+002 1795002
7 Z03-00 8 302-001
Page 108
TlBLE 10 (CONTINUED)
)( 00600 )( 00640 )( 00650 X bull 00700 X bull 00750
P OSM U4 P OSM U4 P OSM U4 P OSM U4 P 05104 U4 IK) tTOqR) (JMOLE) (TORR) (JMOLE) ClORR) (JMnLE) (TORR) (JMOLE) (TORR) tJMnL[)
0000 1132001 4161-002 1222001 4492-002 1244001 4574-00i 1354 001 4980-002 1462001 5 376- 002 0001 1132001 4161-002 1222001 4492-012 1244001 4575-00i 1354001 4980-002 1462001 5 376-002 0002 1132001 4162-002 1220001 4493-002 1244001 457S_002 1355001 4981-002 1 462001 5377-002 0003 1132001 4163-002 1222001 4494-002 1245001 4576-002 135S001 4982-002 1463middot001 5378-002 0004 1133001 4164-002 1223001 4496-002 1245001 4578-002 135S001 4q84-002 1463middot001 5380-002
0006 1134001 4169-002 1224001 4500-002 1246001 4582-002 1357001 4Q88-002 1 464001 5384-002 0008 1135001 41 75-002 1225001 4506-002 1248001 4088-002 1358001 4994-002 1466001 5 391-002 0010 1137 001 41 82-002 1228001 4514-002 1250001 4591gt-002 1360001 Sn02-002 1468001 5 399-002 001 2 1middot140001 41 9 1-002 1230001 4023-002 1253001 4606-002 1363001 5012-002 1471001 5+09-002 001 4 1143001 4202-002 1233001 4534-002 1256001 4617-002 1366001 S1)24-002 1 474001 5+21-002
0016 1146001 4215-002 1237001 4547-002 1259001 41gt30-002 1370001 5037-002 1478001 5434-002 001 8 1100001 4229-002 124hOOI 4562-002 1263001 4645-002 1374001 50S2-002 1 482001 5 450-002 0020 11S5001 4245-002 1245001 4578-002 1268001 4661-002 1379001 5069-002 1487001 5 467-002 0025 1167001 4293-002 1258001 4627-01)2 1281001 4710-002 1392001 5119-002 1501001 5 518-002 0030 111l13001 4350-002 1274001 4686-002 1297001 4769-002 1 409001 5180-002 151$001 558-002
0035 1201001 4418-002 1293001 4755-002 1316001 4839-002 1428001 S252-002 10538001 5 b55-002 0040 10222001 4495-002 1315001 4834-002 1338+001 4919-002 1451+001 5334-002 1561001 5 139-00shy0045 1246001 4582-002 1339001 4924-002 1362001 5008-002 1476001 5427-002 1587001 5middot M34-OO2 0050 1272001 4678-002 1366001 5023-002 1389001 5lOR-002 1504001 5529-002 1616001 5 94 0-002 0060 131001 4895-002 1427001 5247-002 1 451001 5334-002 1567001 5763-002 1681001 6 181-002
0070 1399001 5144-002 1497+001 5503-002 1S21001 5592-002 1640001 6031-002 1757001 6 459- 002 OOlllO 1474001 5418-002 1574001 5788-002 1599001 S880-002 1722001 6331-002 1841+001 6 770-002 0090 15155001 5716-002 1658+001 6098-002 1684+001 6192-002 1811001 o~58-g02 1934001 7110002 0100 1641+001 6033-002 1748001 6429-002 1175001 6527-00~ 1906+001 1008-002 2033middot001 7476-002 0120 18gt7+001 6720-002 1944001 71 47-002 1972+001 7252-002 211 4 001 7771-002 2251001 8 275-002
0140 2027001 7454-002 2153001 7918-002 2184001 8032-002 2338+001 8595-002 2486001 9 141-002 0160 2249+001 8271-002 2386001 8715-002 2~20middotOOI 8900-002 2587+001 9511-002 2148001 1011-001 0180 2459001 9042-002 2608+001 9590-002 2645001 9725-002 21126001 1039-001 3001001 1104-001 0200 26111001 9859-002 2843001 10~5-001 2 883001 1060-001 3079 001 11 32-001 3270001 1 202-001 0250 32t-5middot001 1201-001 3461+001 1273-001 3509+001 1291-001 3747001 1378-001 3979001 1 463- 001
0300 3869001 1423-001 4101001 1509-001 4159+001 1530-001 4442001 1634-001 4718001 1 735-001 0350 4486+001 1651-001 4757+001 1750-001 4824001 1775-001 515f)001 18lt16-001 5478001 2 015-001 0400 514001 1882_001 5424001 1996-001 5500001 2024-001 5880001 2164-001 6252001 2301-001 0450 5748001 2116-001 6098001 2245-001 6185001 2277-001 661 5001 2435_001 7037001 2 590-001 0500 6381001 2353-001 6778001 2497-001 6875001 2532-001 7356+001 2709-001 7829001 2883-001
0550 7030001 2591-001 7463+001 2750-001 7571001 2190-001 8103+001 2986-001 8627001 3178-001 0600 7677001 2832-001 8150+001 3006-001 8270001 3049-001 8854 001 3264-001 Q431+001 3476-001 0 650 11326001 3014-001 8843001 3264-001 8972001 3311-001 9609+001 3545-001 1middot024+002 3 777-001 0700 8977+001 331-001 9537001 3523-001 9676+001 3S74-001 10037002 3R28-001 1middot105002 4079-001 0750 9630001 3563-001 1023002 3785-001 1038+002 3840-001 1113+002 4111-001 1186002 4384-001
0800 1028+002 3811-001 1093002 4049-001 1109002 410B-001 1189002 4401-001 1268+002 4 69 1-001 0850 1094+002 4063-001 1163+002 4316-001 1180002 4379-001 1265002 4692-001 1350+002 5002-001 0900 1110+002 4318-001 1233+002 4581-001 1251+002 4654-001 1342002 4987-001 1432+002 5 317-001 0950 1226002 4580-001 1303+002 4865-001 1322+002 4936-001 1418002 5289001 1514002 5639-001 1000 1291002 4850-001 1373002 51 51-001 1394002 5226-001 1495002 5599-001 1596+002 5 969-001
1100 14raquo3+002 5425-001 151 4002 5758-001 1537002 5841-001 1649002 6255-001 1761002 6 665-001 1400 1506+002 6072-001 1655002 6431-001 1680002 6529-001 1803+002 6q82-001 1 926+002 7 433-001 1300 1688002 6828-001 1196+002 7226-001 1823002 7325-001 1958002 7B1 9-OO1 2091002 8 310-001 1400 1821+002 7743-001 1938002 81 74-001 1967middot002 8281-001 2112middot002 eH600 2257002 9 348-001 1500 1953002 8883-001 2019+002 9346-001 2111+002 9461-001 0267002 1004+000 2423002 1061+000
Page 109
TABLE 10 (CONTINUEO)
X 00800 X 00900 X 01000 X 01100 X 01200
p OS U4 P OS U4 P OSM U4 P OSM U4 P OSM U4 (K) (TORR) (JMOLE) (TORR) (JMOLE) (TORR) (JMOLEI (TORR) IJOLE) ltTORR) IJMOLE)
0000 1567middot001 5760middot002 1764 +001 6487-002 1944+001 7147-002 2102+001 7730-002 2237middot001 8 224-002 0001 1567+001 5760-002 1761H 001 6487-002 1944+001 7147-002 2103001 7730-002 2237middot001 8225-002 0002 1567+001 5761-002 1765+001 6488-002 1944middot001 714~-002 2103-001 7731-002 2237-001 8 226-002 0003 t567middot001 5762-002 176)middot001 64 89-002 1 945-001 7149-002 2103_001 7732-002 2238-001 8 227-002 0004 1568_001 5764_002 1765-001 6491-002 1 945001 7151-002 2104001 7734-002 2238-001 8 229-002
0006 1569middot001 5769-002 1767middot001 6496-002 1 946001 7156-002 2105-001 7 39-002 2240-001 8 234-002 0008 1571001 5775-002 1769001 6502-002 1948001 7163-002 2107-001 7746-002 2242-001 emiddot 242-0020010 1573-001 5784-002 1771-001 6511-002 1951-001 7172-002 2110-001 7756-002 2245-001 8252-002 0012 1 576001 5794-002 1774middot001 6522-002 1 954001 7183-002 211 3-001 7767-002 2248001 8e63-002 0014 1579001 5806-002 1777001 6535-002 1 957-001 7197-002 211 6 001 7781-002 2e52-001 8e78-002
0016 151l001 58eO-002 1781001 6549-002 1962001 7212-002 2121-001 7797-002 2256middot001 8294-002 001 8 1597001 5836-002 1786001 6566-002 1966001 7229-002 2126+001 7fl15-002 2261-001 8 312-002 0020 1592-001 5854-002 1791-001 )584-002 1971-001 7248-002 213hOOl 7e35-002 2267+001 e333-002 0025 1606+001 5906-002 1806middot001 6639-002 1987+001 7305-002 21 47 001 7894-002 2283-001 8394-002 0030 1604-001 5970-002 1824-001 )706-002 2006-001 7375-002 2167+001 7966-002 2304-001 8 468-002
0035 1644001 6045-002 1845middot001 6785-002 2028-001 7457-002 2190-001 8051-002 2328-001 8 557-002 0040 161110001 6132-002 1870-001 6876-002 2054001 7552-002 221 7-001 81 49-002 2357-001 8 667-0020045 1694001 6230-002 1898-001 697-002 2083-001 7658-002 2247_001 8260-002 2387001 8774-002 0050 1774001 6339-002 1929001 7092-002 2115-001 7777-002 22810001 8384-002 2 421-001 8 901-002 0060 1791-001 6587-002 2000-001 73 53-002 2190-001 11051-002 2358-001 8668-002 2501-001 195-002
0070 1869-001 6873-002 2082001 7656-002 2276001 8369-002 2448_001 9001-002 2595001 9 541-002 OOAO 1907001 7195-002 2175-001 7998-002 2374_001 87lt9-002 2551001 9378-002 2702-001 9 935-002 0090 2053_001 7548_002 2277-001 8374-002 2484001 9131-002 2666001 9flOO-002 2822-001 1038-001 0100 2116-001 7928-002 2389+001 8783-002 2 600-001 9561-002 2789-001 1025-001 2951+001 1085-001 0120 gt3R30001 8762-002 2633001 9682-002 2861+001 1052-001 3065001 1127-001 3243-001 1192-001
0140 2630001 9669-002 2901-001 1067-001 3149001 11M-001 3372+001 1gt40-001 3S67-001 i31l-001 0160 2904001 1068-001 3200001 11 77-001 3 471001 1276-001 3716001 1366-001 3931middot001 1445-001 OlRO 311-001 1166-001 3494001 1285-001 3790001 1394-001 4059_001 1492-001 bullbull298-001 1580-001 0200 3455-001 1270-001 3806-001 1399-001 4130001 1519-001 4426001 1627-001 4691middot001 1 12C-0010250 42r15middot001 15lt6-001 4635+001 1704-001 5036-001 1852-001 5 1 4060ll1 1988-1ll1 5744-001 2112-001
0300 4988001 1835001 5505middot001 2025-001 5991001 2203-001 6445+001 2370-001 86001 ~524-001 0350 5794001 2131-001 6403001 2355-001 6980001 2567-001 7523_001 2761-001 8030001 ~953-001 0400 6616001 2434-001 7321001 2694-001 7993001 2940-001 8629001 374-001 9230middot001 3 395-001 0450 7451001 2742-001 8254001 3037-001 9023-001 3320-001 9757001 3590-001 1045+002 3846- 0010500 8294001 3054-001 9198001 3386-001 1007002 3706-001 1090002 4012-001 1170002 4304-001
0550 9144001 3368middot001 1015-002 3738-001 1112002 4095-001 1206002 4439-001 1295002 4769-001 0600 9999+001 3685-001 1111-002 4094-001 1219002 4489-001 1322002 4870-001 1422middot002 5 238-001 0650 1086002 4005-001 1207002 4452-001 1326+002 4886-001 1440002 5306-001 1550002 5712-001 0700 1172002 4327-001 130bullbull 002 4813-001 1 433002 528~-001 1558_002 5744-001 1679002 6 189- 001 0750 121119002 4651-001 1402-002 51 76-001 1541+002 5688-001 1677002 61 81-001 10809002 6 671-001
0800 1346002 4978-001 1500002 5543-001 1650+002 6094-001 1796002 6632-001 1939-002 7156-001 0850 1433middot002 5309-001 1598+002 5913-001 1758-002 6504-001 1916002 7082-001 2069-002 7046-001 0900 1510002 5644-001 1696002 6288-001 1867002 6920-001 2036002 7538-001 2200002 S142-001 0950 1608002 5986-001 1794 002 6670-001 1977002 7342-001 2156002 8000-001 2331middot002 8 644-001 1000 1696002 6336-001 1893002 7060-001 2086002 7772-001 2276002 8470-001 2463002 9155-001
1100 1871002 7072-001 2091002 7877-001 2306002 8670-001 2518002 9450-001 2727002 1 022000 1200 2048+002 7881-001 2289-002 8767-001 2527002 9641-001 2761+002 1050000 2992002 1135000 1300 2224-002 8799-001 2487-002 9767-001 2747002 1072-000 3004 -002 1167-000 3258002 1260+000 1400 2401-002 9877 001 2686+002 1093-000 2969002 119000 324amp-002 1299-000 3524+002 1 400-000 1500 2578002 1118-000 21186+002 1231+000 3190-002 1343-000 3492_002 1454-000 3791-002 1564-000
Page 110
TABLE 10 (CONTINUED)
)( 01300 )( 01400 X bull 0middot1500 X bull 01600 X bull 01 800
P 0gt U4 P OS U4 P OS U4 P OSM U4 P OSM U4 (K) (TO~RI (JMOLE) (TORR) (JOLE) nORR) (JOLEI (TORR) (JMOLEI (TORR) tJOLE)
0300 7248001 2665-001 7594+001 2792-001 7902001 2905-001 8170+001 1003-001 8578001 3 152-001 0350 0 400
13501+001 9792001
3126-001 3601-001
8933001 1032002
3285-001 3794001
9 1 326+0111 1080+002
34ZQ-QU3971001
9677+QQl 1124002
3558-gU 41 33-001
1025002 1middot199+002
3 768-001 4 408-001
0450 1111002 408B-001 1173002 4315-001 1231002 4527-001 1284+002 47Z3-001 1318middot002 5061-001 0500 1245002 458Z-001 1317+002 4846-001 13a5+00z 5094-001 1448+002 53Z6-001 1middot56100Z 541-001
0550 13111+002 5084001 1463+00Z 5384-001 1541002 5669-001 161 4 002 5938-001 1747middot00Z 4Z7-001 0600 1519002 5591-001 161100Z 59Z9-001 1 699+00Z 6Z52-001 1782+002 6559-001 1936+002 71Z3-001 0650 0700 0750
1657+002 1796002 191700Z
6103_001 66Z0-001 71 41-001
1760+002 1910+00Z 2060middot00Z
6480-001 70 36-001 7596-001
1858+002 Z019+00Z Z180002
6841-001 7436-001 8035-001
195c002 2123+00Z Z29b00Z
71 87-001 7AZO-001 8459-001
21Z7+00Z Z319+002 251300Z
7 8Z7-OO1 8 539-001 9 258-001
0800 207700Z 7666-001 2Z1Z+00Z 81 61-001 Z343+00Z 8640-001 Z469002 9104-001 2709+00Z 9 982-001 0850 0 900 0950 1000
ZZ19+00Z 2361002 Z503+00Z 2646+002
8196-001 8731-001 9Z74-001 98Z6-001
2364middot00Z 2S17+00Z 2671+002 2824+002
8731-001 9307-001 9890-001 1048+000
Z506+002 Z670+00Z Z834+00Z 2999+002
9250-001 9867-001 1049+000 1112+000
264300Z Z91 8+00Z 2994+00Z 370middot00Z
9754-001 1041000 1108+000 11 75000
2 90Smiddot00Z 310Z+00Z 3300middot00Z 3499+002
1071000 1145+00( 1middot 2Z 0+ 000 1 296 000
1100 2932+00Z 1097+000 3133middot00Z 11 71middotOno 333000Z 1243+000 35Z4002 1314000 38911middot00Z 1 452 +000 1200 3Z19middot00Z 1219000 344002 1301+000 3 b63+00Z 1382+000 387900Z 1461+000 4300+00Z 1 61lmiddot000 1300 1400
3511+002 379600Z
135Z000 1501+000
375400Z 4066 +002
14Z000 1599+000
399700Z 4331+00Z
1531+00n 1697+000
4236+002 4594+00Z
1619+000 1793+000
4702+002 S107+00i
1 790 000 1 98 1000
1500 4086+002 1672000 4378002 1779+000 4667002 1885+000 4952002 1990000 551Z+002 2 195000
TABLE 10 (CONTINUED)
)( 02000 X nZ250 X 02500 X 0Z7SO X bull 03000
p OS U4 P OSM U4 P OS U4 P OS U4 P OS U4 (K) (TORRI (JMOLE) (TORRI eJMOLE) (TORR) (JMOLEI eTORR) (JMOLE) (TORRI IJOLEl
0300 8807001 3236-001 88Z1+001 3240-001 8510001 3124-001 7f4b+001 2878-001 6801+001 2 493-001 0350 1064middot002 3910-001 108~+00Z 3987-001 1074middot00Z 394Z-001 1026+002 3766-001 9409+001 3449-001 0400 0450 0500
IZII)6+00Z1453+00Z 16-6+00Z
4614-001 5341-001 6086-001
1Z98middot00Z 1519+00Z 1746+00Z
4770-001 5581-001 6414-001
1308+002 155Z+00Z 18Z+QQZ
4803-001 5697-001 ~618-QOl
IZ82+002 1548+00Z 18Z3+00Z
4704-001 5681-001 690-001
1217+00Z 1506+00Z 1805002
4464-001 55Z3-001 6 619-001
0550 18I)Z+002 6846-001 1977-002 7Z65-001 Z058+00Z 7561-001 Z104+002 7724-001 2111+002 145-001 0600 0650 0700 0750
Z071+00Z 2Z113+00Z 2491-00Z Z713+00Z
7617-001 8399~001 9189-001 9987-001
Z212+002 Z450-002 Z691+00Z 2934+00Z
81 31-001 9009-001 9898-001 1080000
Z319+002 25114+00Z Z85Z+002 3123+002
8521-001 9496-001 1048+000 1148+000
Z391+002 Z683_00Z Z978+002 3Z7600Z
8779-001 9-51001 1094+000 1204000
Z425middot00Z Z743+002 3066+00Z 3393+002
11895-001 1 007 -000 1 1Z5 +OOO 1246+000
0800 0850 0900 0950 1000
29~0middot00Z 3148+00Z 3368+00Z 3589+002 3810middot00Z
1079+001) 1161+000 1243-000 13Z6-000 1410-000
3179002 34Z6+002 3674+002 3923+00Z 4173+00Z
1110000 IZ6Z+000 1354 +000 1449+000 1543+000
3396+00Z 3 671+00Z 3948+00Z 42Z6+002 4505+00Z
1Z49000 13H+000 1454+000 1558+000 1664+000
3571hOOZ 388200Z 4188_00Z 4495+00Z 4805+002
1315000 1428+000 1541000 1656 +000 1772+000
37Z3+00Z 4056-00Z 439Z+00 41 47Z9+002 5069+00Z
1 368000 1 49 1+000 1 615000 1 74 1+000 10 868+000
1100 4256+002 158Z+000 4677+00Z 1736+000 5068+002 1879+000 54Z8+00Z Z010000 0753+00Z ZIZ8+000 IZ00 1300 1400
4703+002 5153+002 5605+00Z
1763+000 1955+000 Z164000
5184-002 5693+002 6Z0 4+00Z
1939+000 ZI12middotOQO Z383+000
5635+00Z 6Z04+00Z 6776+00Z
Z103+000 Z339+000 Z592-000
6055+00Z 6686_002 7320middot00Z
Z256-000 ZSI5+000 Z790+000
6 443middot00Z 7137+00Z 7834+00Z
2 396 +000 2middot b78 +000 Z976+000
1500 605 7 -002 2395+000 6717+002 Z637+000 7351+00Z Z86+000 7957+002 3089+000 8535+002 3 Z98 -0OO
Page 111
TABLE 11
THE SPECIFIC HEAT 0 THE TOTAL HE3 - HE4 ~OLUTION
C IJMOLE-I()
TX 01001 00002 00005 00010 00020 00030 00040 00050 00060 00080
(I()
0000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 0002 0003
6509-004 949_004 1066_003
8928_004 1516_003 1853_003
1254_003 2402_003 3316_003
1593-003 3139_003 4514-003
2016_003 4010_003 5956_003
2314-003 4613_003 6882_003
255it_003 5094_003 1112-003
215-003 S50_003 8 I29-003
2933-003 5858_003 8168_003
3239-003 Amiddot12-003 9 693-003
0004 1124-003 2040-003 3910_003 5828_003 1821-003 9101_003 1010-002 093-002 1166_002 i290-002
0006 1171-003 2221-003 4180-003 1103-003 1115-002 13l9-002 1489_002 1620-002 113l-002 1 923-002 0middot008 lol01-003 2middot315-003 5l1 4-003 8924-003 1382-002 1100-002 1932-00l 2119-002 2217-002 2 54 1-002 OOlO 0012 0014
124-003 t 222-003 12l1-003
2middot364-003 2394-003 2middot414middot003
5413-003 5640-003 5155-003
9121-003 1028-002 1067-00l
1586-002 1141-002 1860-00l
2010-002 2263-002 2468-002
2327-002 2666-002 2951-002
pS18-002 li990-00l 3349-00l
2790-002 3259-002 3683-002
~136-002 3middot 699- OO 4224-002
0016 0018 0020 0Ol5 0030
1231-003 1234-003 1236_003 240-003 1243_003
2429-003 2439_003 2447_003 2461-003 2470-003
5838-003 5899_003 5941_003 6021_003 6071-003
1091-002 1119-002 1136-002 11 66-002 1185-002
1952-002 20l4-002 20U-00l 2187-002 2255_002
2635-002 2171-00l 2883_002 3088-00l 3226_002
31 92-002 3395 _O0l 3560_002 3888_002 4l09_00l
110 6511-002 3926-002 4156-002 603-002 4917-002
4056-002 4384-002 4612-002 5245-002 5659-002
4 (07-00l 5145-002 5 538-002 6353-002 6 913-002
0035 1245-003 2477-003 6111-003 11 97-002 2301-002 3321-00l 4I68-002 51 46-002 5965-002 447-002 0040 1248-003 2483-003 6136-003 1206-002 2334-002 3392-002 4385-002 5319-002 6198-002 7814-002 0045 0050
1251-003 1254-003
2487-003 2492-003
6155-003 6170-003
121]-002 1218-002
2359-002 l379-002
3445-002 3486-002
4414-002 4~43-002
545 t-002 554-002
6319-002 6523-002
8104-002 bullbull l38-002
0060 1262-003 2503-003 6196-003 1226-002 2406-002 3545-002 4644-002 5706-002 6133-002 8687-002
0010 1273-003 2515-003 6218-003 1232-002 2426-002 3586-002 471 4-002 911-002 6818-002 8929-002 0080 0090
1287-003 1305-003
2530-003 2549_003
6240-003 6264-003
1236-002 1241-002
2440-002 2451-002
3615-00~ 3637-002
4763_002 4S01-002
5886-002 lJ9 43-002
6983-002 7063-002
9 107-002 9 24 1-002
0100 0120
1328-003 13S1-003
2572_003 2632_003
6291-003 6356_00 3
1245-002 1253-002
2460_002 2476_002
3655_002 3683-002
411131-002 4875_002
5987-002 6053-002
1125-002 7215-002
346-002 9 498-002
0140 1471-003 2716-003 6444-003 1263-00l 2 491-002 3106-002 4910-002 Cmiddot101-002 7280-002 605-002 0160 0180 0200 0250
1middot581-003 17~3-003 1900-003 2523-003
2827-003 2969-003 3146-003 3710-003
6557-003 6101-003 6879-003 7505-003
1215-002 1290-002 1309-002 1372-002
2507-002 2524-002 2544-002 2 611-002
3128-002 3749-002 3773-002 3844-002
4939-002 4966-002 4994-002 5073-002
61 40-002 70331-002 615-002 7315-002 ~208-002 1415-002 6196-002 1514-002
9middot85-002 9 751-002 808-00l 9 935-002
0300 3453-003 4699-003 8435-003 1465-002 2106-002 3943-002 5176_002 6404-002 7629-002 1 007-001 0350 0400
4150-003 6415-003
5996-003 1122-003
9733-003 1146-002
1595-002 1168-002
2831-002 30ll-002
4076-002 4251-002
5311-002 548ti_002
6544-002 6723-002
7713-002 1955-002
t022-001 1 041-001
0450 8691-003 9931-003 1367-002 1990-002 3233-002 4474-002 5712_002 6949-002 8183-002 1065-001 0500 1146-002 1210-002 1644-002 2266-002 3510-002 4751-002 5991_002 7228-002 8464_002 1093-001
0550 14114-002 1608-002 1982-002 2604-002 3848-002 50At-002 632-002 715611-002 8804-002 i127-001 0600 0650 0100 0750
1898-002 2563-002 3694-002 5612-002
l022-00l 2688-002 3819-002 5736-002
2396-002 3061-002 4192-002 6109-002
3018-002 3683-002 4813-002 6729-002
4261-002 4 926-002 6055-002 7969-002
5503-002 6167-002 7296-002 9208-002
6743-002 1407-002 8535-002 1045-001
7982-002 86411)-002 9714-002 11611-001
9220-002 9884-002 10101-001 10 292-00 1
1169-001 1236-001 348-001 1539-001
0800 8718-002 8842-002 9214-002 9833-002 1107-001 1231-001 1354-001 1418-001 1601-001 1847- 001 0850 0900 0950
10346-001 2031-001 2970-001
1359_001 2043_001 l982001
1396-001 2080-001 3019-001
1457-001 21 41-001 3080-001
1581001 2264_001 3201-001
1704-001 2387-001 33l3-001
1e21-OO1 2509-001 3444_001
195 0-001 2631-001 3566-001
l073-001 2754-001 3687-001
2 318-001 2 998-001 3930-001
1000 4203-001 42lS-00l 4252-001 4312-001 4432-001 4553-001 4173_001 193-001 4913-001 5153-001
1100 7106-001 7718-001 7153-001 7812-001 1929-001 8046-001 8162-001 8middot279-001 8396-001 8 629-001 1200 1292+000 1293+000 1296+000 1302+000 1313+000 1324+000 1335000 1346+000 1357+000 1380+000 10300 1400
2046+000 3115+000
2047middot000 3116+000
2050+000 3119+000
2055+000 3124+000
2066000 3133middot000
2076+000 3142+000
2087+000 3152000
raquo097+000 31 61000
2107+000 3170+000
2 128+000 3189+000
1500 41532+000 4533middot000 4535middot000 4539+000 4541+000 4555+000 4063+000 4middot11+000 4579+000 4595+000
Page 112
TAIR 11 (CONTINuEDI
C (JOLE-IltI
011100 00130 00200 00250 00300 00350 00400 00450 00500 00550T~ 110
0000 0000middot000 II 000000 00011middot000 0000middot000 0000middot000 0000middot000 0000000 0middot000middot000 0000000 0000middot000 0001 3~00middot003 4035003 4410003 484 3003 5115-003 5415-003 515-003 1009-003 6250-003 6471-003 0002 69CJ5003 8067_003 8937003 9685003 1035_002 1095_002 11 511-002 1202-002 1250_002 1295-002 0003 1048-002 209_002 1340-002 1452-002 1552002 1642-002 112S_002 11102-002 1814-002 1943- 002 0004 13CJ5_002 1611_002 1186_002 1935002 2068_002 2189_002 2299002 2402_002 2499_002 2 590-002
0006 2084-062 2410-002 2614-002 2899-002 3099-002 3280-002 3441-002 3601002 3746-002 3 1t83-002 0008 2160-002 202-002 3556-002 3858-002 4126-002 43611-002 4591 -002 41 91-002 4991-002 5114-002 0010 3419-002 30982-002 4430-002 4811-002 5148-002 5452-002 5131-002 5990-002 6233-002 emiddot461-002 0012 4054-002 4148-002 5294-002 5156-002 6163-002 6529-002 6866-002 11111-002 1410-002 1745-002 0014 4659-002 5495-002 6144_002 6690-002 7169-002 7600-002 7994_002 8360-002 8702-002 025-002
0016 52lt6-002 6219-002 6918_002 1611-002 8165-002 8661-002 9115-002 953-002 9928002 1 030-001 0018 5156-002 915-002 1792-002 8517-002 9148middot002 9112-002 1023-001 1070-001 1115-001 1middot157-001 0020 6243-002 1518_002 8582_002 9405-002 1012-001 1015-001 11 33_001 1 86-001 1236001 1282-001 0025 72111-002 9085-002 1043-001 11 53-001 1246middot001 1328-001 140J-001 1471-001 1534-001 1593-001 0030 8102-002 1036-001 1209-001 1348-001 1 466_001 1569_001 1662_001 1146-001 1824-001 1 891-001
0035 a150-002 11 42-001 1352-001 1524-001 1668-001 1795-001 1908-001 2middot010-001 2104-001 2191-001 0040 9264-002 IUI-00l 1416-001 1619-001 1853-001 2004-001 237-001 2259-001 2311-001 2 4 14-001 0045 9616-002 1305-001 1582-001 1816-001 2017-001 2194-001 2]51-001 2 0493-001 2623-001 2 143-001 0050 1001-001 1middot361-001 1614-001 1936-001 2164-001 2366-001 2541 -001 2710-001 2860-001 2 997-001 0060 1052-001 1464-001 1821-001 2134-001 2412-001 2661-001 2886-001 092-001 3282-001 ]457-001
0070 1088-001 534_001 1931-001 2287-001 2608-001 2899-001 31 66-001 412-001 3640-001 31153-001 0080 10114-001 1587-001 2015-001 2406-001 2764-001 3093-001 3397_001 680-001 3943-001 4- 190-001 0090 1134-001 1628_001 2081-001 2500-001 2889-001 3250-001 3587_001 3903-001 4199-001 4 479-001 0100 1150-001 660-001 2134-001 2576-001 2990-001 3379-001 3745-001 4090-001 4416-001 4 125-001 0120 1173-001 1707_001 2212-001 2691-001 3145-001 3571-001 3988_001 4381-001 4756-001 5115 001
0140 1188-001 1740-001 2267-001 2771-001 3255-001 3119-001 41 65-001 4593-001 5007-001 5 405-001 0160 1200-001 1764-001 2307-001 28l1-001 3336-001 38Z5-001 4298-001 4755-001 5197-001 15 627-001 0180 1210-001 783-001 2338-001 2816-001 3398-001 3906-001 4399_001 4880-001 5347-001 SJJ01-001 0200 10217-001 1797-001 2362-001 2912-011 3 447-001 3970-001 4480-001 4977-001 5464-001 Smiddot940-001 0250 1234-001 1826-001 2406-001 2976-001 3535-001 4083-001 4123-001 51 52-001 5673-001 6185-001
0300 1249-001 1848-001 2439-001 3020-001 3594-001 4160-001 471 7001 ~26R-00I 5811-001 6 347-001 0350 1266-001 810-001 2467-001 3057001 3640-001 4217-001 4788-001 5352-001 5911-001 6 4 64-001 0400 1286_001 1893_001 2495_001 309 1-001 3681_001 4266_001 41146_001 5420-001 5990-001 6554001 0450 1310001 1920_001 2525_001 3125-001 3 720_001 4311_001 4891_001 5479-001 6057_001 6630-001 0500 1339_001 1951_001 2558001 31 61_001 3160_001 4356_001 4947_001 5535-001 6119-001 6 b99-001
0550 1374-001 1987-001 2596-001 3202-001 3804-001 4402-001 4998_001 111590-001 6179-001 6764-001 0600 1416-001 2030-001 2640-001 3248-001 3852-001 4454-001 5052-001 5648-001 6240-001 6 830- 001 0650 1482-001 2097-001 2709-001 3318-001 3924-001 4527-001 5128-001 5726-001 6322-001 6 915-001 0100 1middot595-001 2210-001 2822-001 3432-001 4039-001 4644-001 5246-001 5846-001 6444-001 1040-001 0750 10185-001 2400-001 3012-001 3622-001 4230-001 4835-001 5439-001 6040-001 6639-001 7236-001
0800 20CJ3-001 2707-001 3318-001 3928-001 4535-001 5140-001 5744_001 6345-001 6945-001 7 542-001 0850 2564-001 3175-001 3185-001 4393-001 4999-001 5603-001 6205-001 806-001 1405-001 8002-001 0900 3242-001 3851_001 4458-001 5063-001 5666-001 6268-001 6868_001 1466-001 8063-001 8659-001 0950 4112-001 4716-001 5379-001 5980-001 6580-001 7178-001 7714-001 111middot369-001 8962-001 9554-001 1000 5393-001 992001 6589-001 1184-001 7178-001 8371-001 8962-001 9552-001 1014000 1 073000
1100 8162-001 9444-001 1002middot000 1060000 1118middot000 1176middot000 1233000 1291000 1348+000 1405000 1200 1402000 14580000 1513000 1568000 1624000 1679+000 1734000 1789middot000 1844000 i 898middot000 1300 2149middot000 2201000 2253middot000 2304middot000 2356000 2407000 2459000 2510middot000 2561middot000 2 612000 1400 3208000 3254000 3301middot000 3347000 3393000 3440000 3486000 3S32middot000 3518middot000 3 623000 1500 4611middot000 4650000 4690000 4729middot000 4168middot000 48070000 4846000 488middot000 4924middot000 bullbull 963middot000
Page 113
TABLE 11 (CONTINUE)
C IJMOLE IO
0 00600 00640 00650 00700 00750 00800 OOYOO 01000 011 00 01i00
00
0000 00110+000 (1000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0middot000+000 0000+000 0000+000 0001 6693-003 6858_003 6899_003 7096-003 7285-003 7467_003 71114_003 bullbull 139-003 8447-003 8 74 0-003 000i 1339-002 137i-002 1380-00l 1419-002 1 1057-002 1493-002 1563_0(12 628-002 168Q-00l 148-002 0003 200 8_002 2057_002 2069_00 2 2128-00i 21115_00i 224O_OOi 2344_002 2441-002 2534_002 2 622-002 0004 i676_00i 2743_002 2759-002 2838-002 29 13_002 2986_002 3J2amp-002 3255-002 3378-002 3495-002
0006 4013-002 4112-002 4136-00l 42amp5-002 4369-00i 4478-002 4 86-002 4e81-002 5066-002 Si42-002 0008 5347-002 5480-002 5512-002 5670-002 58ii-002 5968-002 6i46-00i 650-002 6753-002 6988-002 0010 6679-002 845-002 6885-002 7083-002 1273-002 7456-002 7803- 002 11130-002 8438-002 8middot732-002 0012 8006-00i 1I206-00i 8255-002 8493-00i 8722-002 8941-002 9359-002 Q S1-OO2 1012-001 1047-001 0014 9330-002 9564-00i 9621-00i 9819-002 1017-001 1042-001 1091-001 11 37-001 10180-001 1 22 1-001
0016 10t5-001 1092-001 1098_001 11 30-001 1161-001 1190-001 1246_001 loi9s-001 1 348-001 1 395-001 0018 1196-001 1226_001 12310-001 1270-001 1304-001 1337-001 1400-001 1459-001 -515-001 1568-001 0020 1327_001 1360 001 1369 001 1409-001 1 447_001 1484_001 1554_001 1620-001 168i-001 1 741 - 001 0025 1649_001 1692-001 1703-001 1753-001 1802-001 1849-001 1937- 001 iOiO-OOl i098-001 2172-001 0030 19M-00I i018-001 i030-001 209i-OOl iH51-001 ii08-001 i3IS-001 i415-001 i510-001 2 599-001
0035 2i73-001 2336-00 i351-001 i4i4-001 i494-001 i561-001 i89-001 2A06-001 i917-001 3023-001 0040 i570-001 i6103-001 i661-001 i747-001 28i9-001 i901-001 3054_001 3191-001 3320-001 3441-001 0045 2855-001 2939-001 2960-001 3059-001 3154-001 3243-001 3412-001 middot569-001 3715-001 3 854-001 0050 3125-001 3222-001 3245-001 3359-001 3466-001 3569-001 3760-001 393A-00I 4103-001 4 259-001 0060 3621-001 3744-001 3173-001 3916-001 10052-001 4181-001 442l-001 4644-001 4851-001 SOH-OOI
0070 40111-001 420i-001 4i38-OO1 4414-001 4581-001 4739-001 5032_001 530i-00 5553-001 5 787-001 0080 443-001 45-001 4642-001 4850-001 5047-001 5235-001 5086_001 5908-001 6204-001 6 1081-001 0090 4743-001 4944_001 4993-001 5i31-001 5458_001 5674_001 6080-001 0454-001 6802-001 1126-001 0100 501 8-001 5242 001 5297_001 5563-001 5818_001 6062-001 6020_001 6946-001 7342-001 7 13-001 0120 5459_001 50724_001 5789_001 6106-001 6 411-001 6705_001 7i6~_01)1 7782-001 8270-001 8 31-001
0140 5790-001 61189-001 616i-001 6S21-001 6869-001 7206-001 7848_001 8454-001 9026-001 569-001 0middot160 6044-001 6369-001 6449-001 6843-0111 7226-001 7599-001 831 4-001 8994-001 9641-001 1 026-0011 0180 6i44-001 6590-001 6676-001 7098-001 7509-001 7911-001 868amp-001 9-431-001 1014000 1 082+0011 0i00 6405-0111 6769-001 6859-001 7303-001 7739-001 8165-001 8Q9J-OOI -789-0 0 l 1056+000 1129+1100 02511 6689-001 7086-001 7184-001 7673-001 8154-001 8626-001 9S5U-ODI 1045+000 1132+0110 1216+000
0300 6877-001 7295-001 7399-001 7915-001 8 425-1101 8929-001 9lt11 9-001 1089+1100 1183+0110 1 276+000 0350 7011-001 7444_001 7552001 8088-001 8619-0111 9145-001 1018+000 11211+000 1ii0-DOO 1 318+000 11400 711 4-001 7559_001 7669-001 8220-001 8766-1101 9308-001 1038+000 11 43+000 1247+000 t 349 +ODO 0450 7i00-ODl 7653_001 7765_1101 83i7-001 8885_001 9438_001 1054 +0011 1162+000 1~269000 1 374 +000 11500 7276-001 7735-0111 7849-0111 8419-001 8985_0111 9549_001 1061+0(10 11 77+000 1286+0110 1 394+000
0550 7347-0111 7811-001 1920-001 8503-001 9076-001 9647-001 1078 -01111 1190000 1301+0011 411 +000 0600 7417-001 7885-1101 8001 001 8583-1101 9162-001 9739-1101 1088+11110 1middot202+000 1314+1100 4i6+000 0650 7SDI-001 7976-001 80910-001 8679-0111 9263-001 9844-1101 10 100+11110 1215+000 13i8+00D 1441+000 07011 76]3-001 8106-1101 8224-001 8813-001 9400-001 9985-001 111 5+000 1(31)+000 1345+0110 1 459+000 0750 7middot831-001 8306-1101 8424-001 9015-001 96115-001 101119+1100 1136+000 1middot252+000 1368+000 1482+0011
08110 81~8-001 8614_11111 873i-001 9325-1101 9915-0111 1050+000 1168+000 1284+000 1400-000 515+0011 118511 11laquo97_001 91173_1101 9191-11111 9183-0111 11137+11110 111960110 121 4000 1330+11110 1446+1100 1 562+0011 0900 9i5i-OD1 9726-001 9845-001 1044+0110 1102+11110 1161+000 1218000 1395+0110 1511000 6i6+000 0950 101114+0011 11162+000 1073+111111 11 32+0011 1191+1100 1249+000 1366+000 14820011 1598+000 bull fl3+000 1000 1131+0110 11780011 1190-000 1248+1100 1306+000 1364000 1480+0110 11595+000 1710+000 1 824+0011
1100 14(12+0011 1508+1100 151 9+1100 1576+01111 1633+0011 1689+000 180i+QOO 1914+11110 2026+000 2138+000 121111 1953+000 1997+1100 21101+11110 20tli+DDO 2116000 i170+DDO iZ79_DDO 2386+0011 2494+11011 ZbOl+QOQ 103011 2663-1100 2704+11011 2114+000 i7b5+00Q 2816-000 2866+000 2961_11110 306e+000 3168+000 3 268+000 141111 369+11110 37116-000 3715+1100 3760+000 3806+000 3851+000 3942+11011 40 32+000 4122+111111 4 212+0011 15110 5002+000 51133+000 5041+0011 5079-000 5118+ 000 5156+0011 5233+0011 ~309+QOQ 5386+000 5 46i+ODO
Page 114
TABLE 11 ltCONTINUED)
C IJMOLEmiddotIO
01300 01400 01500 01600 01800 02000 02250 02500 02150 03000~ (I( )
0000 0000+000 0000+000 0000+000 0000+000 0000middot000 0000+000 0000+000 0000middot000 0000+000 0000+000 0001 9020003 9288_003 9547003 97n-003 1027-002 1072002 11 20_002 1177-002 1225-002 1i72-002 0002 1804_002 1158_002 1909_002 1959_002 2055_002 2145_002 2252_002 2353-002 2450_002 2 544-002 0003 2706_002 2786_002 2864_002 2939_002 3082_002 3217002 3378_002 3530_002 3676_002 3amp16002 0004 3607_002 3715_002 381 8002 3918_002 4109002 4289_002 4503_002 4706_002 4901_002 15 088002
0006 5410-002 5571middot002 5727-002 5817-002 6163-002 6434-002 6154_002 7059-002 7350-002 7 03 1-002 0008 7212-002 7427-002 7634middot002 7834-002 8216middot002 8577-002 9005-002 9411-002 9800-002 1011-001 0010 9012-002 9281-002 9540-002 9790-002 1027-001 10072-001 1125-001 1middotP6-001 1225-001 1272-001 0012 1QIH-OQl 1middot113-001 1144-001 1175-001 1232-001 1286-001 135U-OOI 1middot411-001 147 0-001 1 526- 001 0014 1middot261-001 1298-001 1335-001 1370-001 1 437-001 1500-001 1575-001 10646-001 11 14-001 1 180-001
0016 1440-001 1483_001 1525-001 1565-001 1641-001 1714-001 1799_001 1881-001 1959-001 2034-001 0018 161 9-001 1668_001 174-001 1760-001 184tgt-001 1927-001 2024-001 215-001 2203-001 2 287-001 0020 11lt)8001 1852_001 1904-001 1954_001 2050-001 2141_001 2248 001 2350 001 2447-001 2 54 1-001 0025 2243-001 2311-001 2376_001 2439-001 2559-001 2673-001 280 7001 2935-001 3056 001 3174-001
0030 26A5-001 2707_001 2846_001 2921-001 3066001 3203_001 336-001 351A-00l 3664_001 3 8OS-001
0035 3123-001 3219-001 3312-001 3401-001 3570-001 3730-001 3919-001 4094-001 4270-001 4 435-001 0040 3557-001 3668-001 3774-001 3876-001 4071-001 4254-001 4471-001 4677-001 4873-001 5062-001 0045 39A5-001 4111-001 4231-001 4347-001 4568-001 4775-001 502U-001 5252-001 5474-001 5 687-001 0050 4407-001 4548_001 4683-001 4813-001 5060-001 5292-001 5560-001 1125-001 6072-001 6309-001 0060 5227-001 5401-001 5567-001 5726-001 6028-001 6310-001 6643-001 6 951-001 1256-001 7542-001
0010 6008-001 218_001 6417-001 6608-001 6 968-001 7304-001 7 98_0111 A06lt)-001 8421-001 8 759 001 0080 6743-001 6991-001 7220-001 7451-001 7874-001 8267-001 8726001 91 56-001 9565middot001 9955-001 0090 1430-001 7716_001 7988001 8249-001 8738_001 9192-001 9120-001 1021+000 1068+000 1 113 +000 0100 8062-001 8392-001 8704-001 9000-001 9551-001 1008000 1068000 124+000 1177+000 lc27000 0120 lt)17 001 9580_001 9914-001 1035+000 1106+000 117+000 1246 +000 1316+000 1382000 1444+000
01 40 1008+000 1058+000 1105+000 1150+000 loc35+000 1314+000 1406+000 1491+000 1570+000 645+000 0160 1085+000 1141middot000 1195+000 1247+000 1346+000 1438+000 11146000 1740+000 829+000646+000 0180 1148+000 1211+000 1272middot000 1330+000 11141+000 1546+000 168+000 1783+000 1891+000 1994+000 0200 1201+000 1269+000 1330+000 1400+000 1523+000 1639+000 1176+000 1904+000 2026+000 2141middot000 0250 1299+000 1379+000 1457+000 1534+000 1681+000 1821middot000 1lt)89+000 247+000 2299+000 2 444+000
0300 1366+000 1454+000 1541+000 1626+000 1791+000 19H+000 21 42 +000 325+000 2502+000 2 671+000 0350 141 4+000 1509+000 1602+000 1694 +OOl 1872+000 2046+000 2255+000 2451+000 2654+000 2 844+000 0400 1450000 1549+000 1647000 1744+000 1 934+000 2118+000 2342+000 2560+000 2771+000 2 978+000 0450 1478+000 1581+000 1683+000 1783000 1981middot000 Z174+000 2410+000 C640+000 2864middot000 3083+000 0500 1501+000 1607000 1711middot000 1815middot000 2019+000 2219+000 246S+0IHI 2104+0 2939+000 3 169000
0550 1520+000 1628+000 1735+000 1841+000 2050+000 2256+000 2509+000 751+000 3000+000 3 240+000 0600 1537+000 1641+000 1756+000 1864middot000 2077+000 2288+000 2541000 2801middot000 3051+000 t29S+000 0650 1553+000 1665+000 1775middot000 1885+000 2102+000 2316+000 2580 +000 2140middot000 3096+000 3349000 0700 1512+000 1685+000 1796+000 1907+000 2121+000 2345+000 213000 2818middot000 3139middot000 3396+000 0750 1596+000 1710+000 1823+000 1935middot000 2157+000 2317+000 26411 +000 2417+000 3181+000 3 443+000
0800 16~0+000 1744+000 1857+000 1970+000 2194+000 2416+00amp 2690+000 961+000 3229+000 1494+000 0850 1677+000 1191+000 1905middot000 2018+000 2243+000 2466+000 2142+000 3015+000 3285+000 3 552+000 0900 1141+000 1856+000 1969+000 2083+000 2308+000 2531+000 2808000 3082+000 3353+000 3 622+000 0950 1821+000 1941+000 2055000 2168middot000 2393+000 2616+0011 2892+000 3166+000 3438+000 3 101+000 1000 1938+000 2051+000 2164+000 2217+000 2501+000 2723+000 2998+000 3211+000 3542+000 3 810000
1100 2249+000 2360+000 2410+000 2580+000 2799+000 3011+000 3287+000 3554middot000 3820+000 4084middot000 1200 2707+000 2814+000 2920+000 3025000 3236+000 3445+000 3704+000 3962middot000 4218+000 4bullbull12+000 1300 3368+000 3467+000 3566+000 3665+000 3862+000 4051000 43011+000 4541+000 4181+000 5019+000 1400 43(12middot000 4391middot000 4480+000 4568+000 4745+000 4920+000 5138+000 5355+000 5569+000 5783+000 1500 5537+000 5613+000 5688+000 5163+000 5 912000 6060+000 6244000 6427+000 6608+000 6 788+000
Page 115
TA8Le 12
THE ENTROPy OF THE TOTAL HE3 - HE SOLUTION
5 (J140LE-K)
~ 011001 00002 00005 00010 00020 00030 00040 00050 00060 00080
UO
0000 0001 0002 0003
0000+000 7128_004 1271-003 16111-003
0000+000 9212_004 1751_003 2411_003
0000+000 126-003 2495_003 3651_003
0000+000 1598_003 lI BO-003 4129_003
0000middot000 2019_00l bullbull 030-003 0026_003
0000+000 2316_003 4626_003 6927_003
000(1+000 21554_003 ~103_003 7t II _OO3
0000+000 c75_003 50-003 8255_003
0000+000 2933_003 5 8h_003 8790_003
0000+000 3239- 003 677-003 9110-001
000 1996-003 299B_003 4701-003 62l2-003 7997-00l 9212_003 10111-00~ i099-002 1171-002 1 29-002
0006 2464-003 3866-003 6483-003 8966-003 1 IB2-002 10371-002 15111-002 1middot-002 1 151-000 1 937-002 0008 0010
2806-003 3075-003
bullbull520-003 503-003
7923-003 9117-003
1136-002 1345-002
151-002 1872-002
1805-002 2219-002
2009-002 2483-002
21 7A-002 2701-002
2l25-00l 28B9-002
2middot~15-002 3a 06-OO2
0012 3298-003 5477-003 1013-002 1527-002 2176-002 2609-002 29311-002 320A-002 30440-002 3 1129-002 0014 3486-003 5847-003 1101-002 1689-002 2 bullbull54-002 2973-00 3371-002 3697-002 3975-002 4439-002
0016 36M-003 6PI_003 1178-002 1833-002 2708-002 3314-002 3782_002 bullbull 165-002 4491-002 5035-002 Omiddotou 0020
3796-003 3926-003
6457-003 6115-003
1247-002 1310-002
1964-002 2082-002
292-002 3159-002
3633-002 3931-002
41 70-002 4536-002
611-002 5037-002
bullbull988-00l 5466-002
51115-002 6178-002
0025 0030
bullbull 202-003 4428-003
72amp3-003 7712-003
1bullbullbull4-002 1554-002
2339-002 2554-002
3amp36-002 bullbull 01-002
bullbull 598-002 5174-002
53amp9_002 60 99-002
6016-002 1188-002
6573-00l 7568-002
705-002 821-002
0035 bullbull620-003 8094-003 1648-002 2737-002 bullbull 392-002 5678-002 6745_002 7660-002 8 bullbull64-002 9833-002 0040 0045 0050 0060
4786-003 bullbull 934_003 5066_003 5295-003
8425-003 8717_003 8980_003 9435_003
1730-002 1802-002 1867-002 1980-002
2898-002 3040-002 3168-002 331-002
4702-002 bullbull 978_002 522a-002 5664_002
6127-002 6529_002 6890_002 7536_002
7323middot002 7844-002 831 9_0112 91)1-0n2
80359-002 0993-002 9573-002 1060-001
9277-00l 1002-001 1070-001 1191-001
1085-001 1179-001 1266-001 1 4Z1-001
0070 5bullbull90-003 9822-003 2075-002 3581-002 6037-002 8086-002 9879_002 11middot9-001 1296-001 557-00 0080 0090 0100 0120
5661-003 581middot-003 5913-003 6200-003
1016-002 06-002 1073-002 1120-002
2158-002 2Z32-002 2298-002 2414-002
376-002 3801-002 4022-002 4250-00Z
6362-002 6650-002 6908-002 7358-002
1566-002 1051-001 8993-002 10107-01)19378-002 11 58-001 100S-001 1241-001
1227-001 1297-001 1359-001 1middot469-001
388-001 1 471-001 1 546-001 1676-001
1 677- 00 1 1185-001 1883-001 2middot0SS-001
01middot0 6419-003 1161 002 2512-002 444-002 771-002 1062-001 1322_001 1S63-001 17811-001 2202-001 0160 6623-003 11 98_002 2599-002 bullbull 613-002 8075-002 1111-001 11118_001 l64S-OOl 1886-001 2 331-1101 0180 0200
687-003 7007-003
1232-002 1264_002
2677_002 2748-002
4764-002 bullbull901-002
8371-002 8638-002
115S-001 1195-001
1bullbull46_001 1499_001
10717-001 1782-001
1972-001 2050-001
Zmiddot6-001 2 5bull 9-001
0250 7493-003 13middot1-002 2908-002 S200-002 9212-002 1280-001 1lIll-00l 1922-001 2217-001 2 169-001
0300 A030-003 1417-002 3053-002 5bullbull57-002 9696-002 1351-001 1704 -001 20311-001 2355-001 2 951-001 0350 0400 0bullbull50 0500
8655-003 9396-003 1028-002 1middot114-002
1bullbull99-002 1590-002 1693-002 1812-002
3192-002 3333-002 3480-002 3638-002
5693-002 5916-002 6137-002 6360-002
1012-001 1051-001 1088-001 1123-001
1bullbull12-001 1middot68-001 1519-001 1568-001
1785-001 1851-001 19Z3-001 1985-001
2]37-001 2226-001 2)06-001 2381-001
2bullbull73-001 2571ll-001 2673-001 2761-001
]107-001 ]i5-001 3 369-001 3 483-001
0550 12i8-002 1948_002 3810-002 6S92-002 1158-001 1615-001 2043-001 0451-001 283-001 3588-001 0600 0650 0100 0750
1bullbull04-002 15110-002 1808-012 2122-00Z
2105-002 2291_002 2527_002 2851_002
3999-002 bullbull215_002 bullbullbull79_00Z bullbull828_002
6835-002 7101-002 7411-002 7803-002
119-001 1230-001 1270_001 1318_001
1661-001 1707_001 1756-001 1813_001
2100-00)21S6_001 2H5_001 2280-001
2519-001 21585-001 265]-001 2726-001
2921-001 2998_001 3075-001 3156-001
]688-001 ]8-001 3879-001 3978-001
0800 2576-002 3312-002 531 4-OOZ 8329-002 1379-001 1881-001 2356-001 2Al]-001 329-001 ~O87-001
0850 0900
3238-002 middot19O-OOZ
3981-002 4941-002
6005-002 698amp-002
9058-002 1007-001
1middot59-001 1568-001
1969-001 2085-001
2452-001 257-001
2914-001 3043-001
3359-001 3bullbull96-001
4 212-001 4 363-001
0950 55gt7-002 6285-002 8350-002 11middot7-001 171-001 2238-001 Z734-001 209-00 3669-001 58-001 1000 7351-002 8middot11-002 1020-001 1335-001 1908-001 2 bullbull311-001 2940-001 3 bullbull22-001 3887-001 4 raO-OOl
1100 1288-001 1366-001 1577-001 1898-001 2483-001 302-001 3538_001 4031-001 4507-001 5 4 22-001 1200 1300 1400
218-001 34H-001 5367_001
2246-001 3S61-001 5447_001
2bullbull61-001 3778_001 5667_001
2787-001 4108-001 6001-001
3381-001 bullbull 711-001 6611_001
3933-001 5271-001 717B_001
bullbull 456 0111 5803_001 771 11 _001
bullbull959-001 11315-001 8237-001
5446-001 6810-1101 8739_001
6381-001 762-001 9 106-001
1500 79110 001 8061-001 8282-001 8619-001 9236-001 9809-001 103S+000 108+000 1139000 1middoti37middot000
Page Ilb
TAlK 12 CONTINUED)
IJMOLE-K)
00100 00150 00200 00250 00300 00350 00400 00450 00500 00550 ~ ItO
0000 0000+000 1)000000 0000000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 31500-003 4035_003 4470_003 4844_0n3 5115_003 547_003 5752_003 6009-003 6250_003 6 477-003 0002 69Q9-003 8070_003 8939_00 3 9686_003 1035002 1095_002 11 5deg_002 202-0OZ 1250-002 1295-002 0003 1049_002 1210_002 1341-002 1453_002 1552-002 1642_002 172)_002 1802-002 1875002 1 943002 0004 1399_002 1613_002 1787_002 1937-002 2069_002 219n_002 2 bull 011-002 2403-002 2500-002 2 591-002
0006 ~OQS-002 2418-002 2679-002 2904-002 3103-002 3284-002 3450-007 3middot604-002 3749-002 3R85-OO2 0008 27~7-002 3220-002 3569-002 3869-002 4135-002 4376-002 415911-002 4middot~04-002 4997-002 5 179- 002 0010 3474-002 4018-002 4457-002 4833-002 5166-002 54-002 5745_002 iIiOOl-002 6244-002 amp472-002 0middot012 4154-002 4812-002 5341-002 5794-0n2 6194-002 6557-002 68911-002 7200-002 7490-002 1 4-002 0014 41125-002 0600-002 6221-002 6751-002 7220-002 7644-002 8033-0112 8]95-002 8734-002 ~U54-002
0016 54A4-002 ~382-002 7096_002 7705-n02 8242-002 8728-002 91 74-OO 95811-002 9976-002 1 034- 001 0018 6131-002 7155-002 7965-002 8654-00 9261-002 9809-002 1031 -001 10711-001 1122-001 163-001 0020 6763-002 7918_002 8827_002 9SY7-0n2 1028_001 1089_001 1145_001 11 97-001 1245-001 I Z9 1-001 0025 8272-002 9775_002 1094_001 11 93-001 1279-001 1356-001 1427-001 1492-001 1S53-001 1 611-001 0030 9675-0n2 1155_001 1300-001 1 420-001 1526_001 1620-001 170S-00t 1785-001 1859-001 1928-001
0035 1097-001 1323-001 1497-001 1642-01l1 1767-001 1879-001 1980-001 1074-001 2161-001 2243-001 00 40 121 8-001 14S1-001 1686-001 1855-001 2002-001 2132-001 22511-001 ]59-001 2460-001 2 554-001 0middot045 1middot39-001 1631-001 1866-001 2061-001 2230-001 2379-001 251 4-001 263A-001 2753-001 2 861-001 0050 143-001 1771-001 2038-001 2259-001 2 450-001 2620-001 27Ta-001 2912-001 3042-001 3middot164-001 0060 16O-001 2030-001 2356-001 2630-001 2 867-001 307E1-001 368_001 3441-001 3602-001 3 152-001
0070 1785-001 2261-001 2646-001 2971-001 3255-001 3507-001 373+-001 3943-001 4136-001 4 315-001 0080 192-001 2469_001 2909-001 3285-001 3613-001 3907-001 4173_001 4416-001 46112-001 4852-001 0090 20115_01)1 2659_001 3151-001 3574_001 3946_001 4280-001 4584_001 4863_001 5122_001 5363 001 0100 20185-001 283Z-001 3373-001 384 1-001 4256-001 4630-001 4971-001 5284-001 5576-001 5 848-001 0120 2397-001 3llY-001 3769-001 4322-001 4816-001 5264-001 5 76_001 6057-001 6 412-001 6 146-001
0140 2579-001 3405-001 11115-001 4743-001 5309-001 5827-001 6305-001 749001 7165-001 7557001 0160 2738-001 639-001 44211-001 5117-001 5750-001 6331-001 68711-001 7374-001 7847-001 8 294 - 0010180 2880-001 3848-001 4694-001 5453-001 6146-001 6786-001 782-0111 7 941-001 8461-001 amp967-001 0200 3008-001 4036-001 4941-001 5758-001 6507-001 7201-001 750-001 bullbull 46f)-001 9038-001 586-001 0250 32A2-00l 4441-001 5473-001 6415-001 7286-001 8100-001 8866-001 9591-001 1028+0011 1 094000
0300 35t18-001 4715-001 5915-001 6962-001 7936-001 8852-001 9718-0()l 054middot000 1133+000 1208+000 0350 3702-001 5062-001 6293-001 7430-001 8494_001 9497-001 1045 +000 11 36000 1223+000 1 307+000 0400 3872-0111 5313_001 66211-001 7841-001 8983_001 1006+000 110Y00O 1208+000 1303000 1 394+000 0450 4025-001 5538_001 6920-001 8207-001 9418-001 1057000 1161+000 1272+000 1374+000 1472+000 0500 4164-001 5742_001 7188-001 8538-001 9812-001 1103+000 1219+000 1330+000 1438+000 1542+000
0550 4293-001 5929-001 7433-001 8841-001 1017+000 1144+000 1266+000 1383+000 1496+000 1606000 0600 445-001 6middot104-001 7661-001 9121-001 1051+000 1183+000 1311hOOO 1432+000 1550+000 1665+000 0650 45~0-001 ~269-001 7875-001 9384-001 1082+000 1219+000 13511000 1middot478middot000 1601+000 1120+000 0700 4644-001 ~428-001 8079-001 9633-001 1111+000 1253+000 1389+000 1520+000 1648middot000 1 172+000 0750 47110-001 6586-001 8280-001 9876-001 10140+000 1285middot000 1426+000 561+000 1693middot000 1821+000
0800 48114-001 6750-001 8483-001 1012middot000 1168middot000 137+000 146Z+000 1601000 1137+000 1869000 0850 5024-001 6927-001 8697-001 1037+000 1197+000 1350+000 1498000 141+000 1780+0011 1916+000 0900 5189-001 7127_001 8932-001 1064000 1227000 1384+000 1535+000 1682000 1824+000 1 963+000 0950 5388-0111 7359_001 9196-001 1094+000 1260+000 1420+000 1574+000 1724middot000 1870middot000 2012middot000 1000 56~2-001 7633-001 9502-001 1127+000 1297000 1460+000 11 7+000 770+000 1919+000 2 064000
1100 62Q7-001 8354-001 1028middot000 1211+000 1386middot000 1554+000 171 7+000 1876middot000 2030middot000 2181+000 1200 7275-001 9382-001 1136+000 1323+000 1503+000 1677+00( 1845000 008+00Q 2167+000 2 323000 1300 8674-001 1082+000 1284+000 1476+000 1660+000 1838+000 201lhOoO 2178+000 2341middot000 2 501000 1400 10gt3+000 1282+000 1487middot000 1683+000 1871middot000 2052+000 2228+000 239q+000 2566+000 2 730+000 1500 1330+000 1552middot000 1761+000 1959+000 2150+000 2334+000 21113+000 C687middot000 2857+000 3 024+000
Page 117
TA8LE 12 (CONTINUED)
S (JMOLE-Ilt)
~ 00600 00640 00650 00700 00750 OOAOO 00900 01000 01100 01200
110
0000 0001 0002 0003 0004
00110middot000 6613-003 1339002 2008-002 2677-002
0000middot00(1 6858_003 1372_002 2057_002 273-002
0000middot000 6899_00 3 1380002 207(1-0022759002
0000000 7096-003 1419002 21 29-002 2838_002
0000000 7285-003 1457_002 2185_002 2914002
0000000 7467-003 1493_002 2240_002 2987_002
0000000 781 4-003 163_002 234-002 3125-002
0000000 -139-003 162111-002 2442-002 3255-002
0000middot000 8447-003 1689-002 2534-002 3319 002
0000000 140-003 1r48-002 2622-002 3496002
0006 0008 0010 0012 0014
4015-002 1113152-002 66118-002 1103-002 1307-002
411 4-002 5484-002 6854-002 8222-002 95d9-002
41311-002 5517-002 6894-002 8271-002 9640-002
42S7-002 5675-002 7092-00 2 8508-002 9923-002
4370-002 5826-002 728 1-002 8735-002 1019-001
4480002 5972-002 7464-002 8954-002 1middot0-4-001
481-002 6249002 7AlII-002 9371-002 1093-001
4A83-002 6510-002 81 36-002 0761-002 11 39001
5067-002 6756-002 8444-002 1013-001 10182-001
5243-002 990-002 8 737002 1048-001 1223-001
0016 0018 0020 0025 0030
1069-001 1202-001 1335_001 1665-001 194 001
1095-001 1232_001 1368_001 1707_001 2045_001
1102-001 1239-001 1376_001 1118-001 2057_001
1134-001 1275-001 1416_001 1767-001 2117-001
1164 001 1309001 1 454 001 1 8 15_001 2174-001
1193-001 1 342-001 1490_001 1861_001 2230-001
1249 _001 10--0011560_001 1948_001 233S 001
1301-001 1463-001 1625_001 2030-001 2433-001
1350-001 1519-001 1 687_001 2107-001 2526-001
1397-001 1572-001 146 001 2181-001 Z615-001
0035 0040 0045 0050 0060
2321-001 2644-001 29t3-00l 3278-001 3892-001
2380-001 2712-001 3040-001 3365-001 3999-001
2394-001 2728-001 3059-001 3386-001 4025-001
2465-001 2809-001 31 51-001 3489-001 -1gt2-001
2532-001 2887-001 3139001 3588-001 4272-001
2597-001 middot2961-001 3323-001 3682-001 4388-001
2720-001 3103-001 34U-00I 3861-001 405-001
20135-001 3235-001 3middot632-001 402111-001 411109-001
2944001 3360-001 3773-001 4185-001 5000-001
3047-001 3478-001 )907001 4334-001 I5181-00
0070 0080 0090 0100 0120
4484-001 5049-001 5589middot001 6104-001 1059-001
4612 001 5199_001 5761-001 6298_001 7298_001
4643-001 5236-001 5803-001 6345middot001 7357-001
4794-001 5412-001 6006-001 6575-001 7639-001
4937-001 5580-001 6199-001 6193-001 7908-01
5075001 5741-001 6383-001 7001-001 8166-001
5334_001 6042_001 672901)1 7393_001 850-001
5575001 6323-001 7051-001 7757-001 9100-001
5801-001 6585-001 7351-001 8096-001 9520-001
6015-001 834-001 70635-001 8 416-001 9 916-001
0140 0160 0180 0200 02S0
7927001 8718-001 441-001 1011000 1157middot000
8210-001 90_2-001 9805-001 10UmiddotOOO 1206000
8218001 9121-001 989-001 1061000 1218 000
8613-001 9506-001 1033000 1109000 1276000
8933-001 9814-001 1014000 1155000 1332000
9239-001 10023middot000 1114000 1199000 1386000
9tH5-00l 1089000 11 9(01121283000 149(000
1035000 152000 12600001362000 588000
1085middot000 1210000 10327000 1-36000 16110-000
1133000 1 265000 1389+000 1506-000 1 168000
0300 0350 0400 0450 0500
1281000 1388_000 14A2middot000 1566 000 143000
1337_000 1450000 1551+000 1640000 1721_000
13510000 1466000 1567000 1658000 1741000
14111000 1sectAoI-0001650000 178000 1836000
1483000 1615000 17JhOOO 1835000 1929000
1546000 1686000 1809_000 1919 000 2020000
1 68000 IA22000 1960000 2083000 21 95000
1782000 1952-000 104000 239000 2363000
1891+000 2016000 2241000 2389+000 2524000
1995000 2195middot000 z37J000 2S34000 2679middot000
0550 0600 0650 0700 0750
1712- 000 1771-000 1836000 1892-000 1946000
1795000 1864000 1927000 1987000 2043000
1816000 1885000 1949middot000 2010000 2067000
1917000 1991+000 2060-000 21Z5middot000 21 86000
201 5000 2094middot000 2168middot000 2237000 2303000
2111000 2195000 2274middot000 2347middot000 2417000
2297000 23910000 2479000 2561000 2638000
2475000 2579000 iI~76middot000 2767000 2852000
2647000 2761000 2867000 2966000 3059000
2amp13middot000 2937000 3 051000 3 159000 3260000
0800 0850 0900 0950 1000
1917-000 2048000 2019000 2151000 22116000
2098-000 2151000 2205+000 2260000 2317000
2123000 2177+000 2231middot000 2287-000 2344000
2245-000 2303-000 2361-0110 2419000 2480000
2366000 2 427000 2488+000 2550000 2614000
2483-000 2548000 2613000 2678-000 2745-000
27tl-00O 278bmiddot00o 2A56+000 2927000 3000-000
934000 3013000 3091000 ~16C100o 3247000
3149000 3235+000 3319000 3403middot000 3488middot000
3357 000 345 0000 3541000 3 631000 3 122000
1100 1200 1300 1400 1500
2328000 2475000 2658+000 2890000 3186000
2444000 2594000 2780000 3015_000 3315000
2472000 2624middot000 2811-000 3047_000 3346000
2614000 2770middot000 2961000 3201000 3503_000
2752000 291 4 000 3109000 3352000 3658+000
2889000 3055-000 3255_000 35010000 3810000
31 55 000 3331000 31J39_000 3792_000 4107000
3413000 3599000 3815-000 -07tmiddotOOO 4396+000
366000 3860middot000 40114000 4352000 4678000
3 909000 4114middot000 4347000 4622-000 4953-000
Page 118
TABU 12 (CONTINUED)
S CJMOLE-K)
01300 01400 01500 01600 01800 02000 02250 0241100 02750 03000~ 11lt1
0000 01100-000 0000-000 0000-000 0000-000 0000-000 0000-000 0000-000 0middot000-000 0000-000 0000-000 0001 9020-003 9288_003 9547-003 9797-003 1027-002 1072-002 1126-002 1177-002 1225-002 1212-002 0002 1804-002 18S8_002 1909-002 1959-002 2055_002 2145_002 225Z_002 235~-002 2450_002 2544-002 0003 2706-002 2786_002 2864_002 2939-002 3082-002 3217-002 3378_002 3530-002 3676-002 3816-002 0004 3608_002 3715_002 3819_002 3919_002 4109_002 4290_002 4t03_002 4707-002 4901_002 50811-002
0006 5411-002 572-002 5728-002 5878-01)2 6164-002 6434-002 6755-002 7060-002 7351-002 7 632-002 0008 7214-002 7429-002 7636-002 7836-002 8lin8-002 8579-002 9006-002 412-002 9801-002 1 018-001 0010 901 7-002 92lt6-002 9545-002 9795-002 1027-001 1072-001 1126-001 11 76-001 1225-001 1272-001 0middot012 1middot082-0n1 1middot114-001 1145-001 11 75-001 1232-001 1287-001 1351-001 1412-001 147 0-001 lmiddot526-001 0014 1262-001 1300-001 1336-001 1371-001 1 438-001 1501-001 1576-001 1647-001 1715-001 1 78O-OOt
0016 1442-001 1485-001 1527-001 1567-001 1643-001 1715-001 11101-001 882-001 1960-001 2035-001 0018 162-001 1670-001 111 1-001 1762-001 18U-00I 1929-001 2026_001 2117-001 2205-001 2 289-001 0020 1802-001 1856_001 1908-001 1958-001 2053-001 2143_001 2 2~1)-001 2352-001 2 449_001 2 543-001 0025 2251-001 23I8-001 2383-001 2446-001 2565-001 2678-001 21112-001 2939-001 3061-001 3178-001 0030 2699_001 27~0-001 2858_001 2933-001 3017_001 3213_001 3373 _001 3526-001 3672-001 312-001
0035 3146-001 3241-001 3332-001 34Z0-001 3587-001 3746-001 3934-001 4112001 4282-001 4 446-001 01140 3591 - 001 3700-001 3804-001 3905-001 4091-001 4278-001 4493-001 4697-001 4892-001 5 079- 0n 0045 4035-0111 4157-001 4275-001 4389-001 4605-001 4809-001 5051-0nl 528-001 5501-001 5712-001 0050 4477-001 4613-001 4744-001 4871-001 5112-0111 5339-001 5609-001 5A64-001 6108-001 6 343-001 0middot060 h 33-01l 1 551 8001 5677-0111 58Z9-001 6120-001 6394-001 671 9-001 7026-001 7320-001 7 tl 03-001
0070 6218-001 6413-001 6599_001 6779-001 7120001 7442-001 7822_0111 8182-001 8526-001 8857-001 0080 709-001 7294_001 7509-001 7717-001 8110-001 8481-001 891 8OII 9331-001 9726-001 1 010000 0090 7903-001 8160-00 8405_001 8641-001 9088-001 9508_001 1000000 1047- 000 1092000 1135-000 0100 8719_001 9008_001 9284-001 9549-001 1005000 1052000 1108_000 1160middot000 1210-000 125hOOO 0120 1029000 1065000 1099000 1131+000 1193_000 125000 131 8000 i382middot000 1 443_000 1 501+000
01 40 1177+000 1220middot000 1261-000 1300middot000 1373+000 1442000 1523000 l59A-000 1670-000 1 139000 0160 1317middot000 1367middot000 1414middot000 1460middot000 1546-000 1626middot000 1720-000 1808middot000 1891+000 1971-000 0180 1449+000 1505-000 1560000 1612-000 1710000 1802-000 1909000 2010-000 2105middot000 2196middot000 0200 1572middot000 1636middot000 1697-000 1755-000 186hOOO 1969+000 209000(1 2204middot000 2311-000 2414-000 0250 1852middot000 1932-000 2009000 2083middot000 22Z4000 2356middot000 Zt1 hooo 265middot000 2794-000 2 926-000
0300 2095-000 2190middot000 2283000 2372middot000 2541-000 2700-000 2888000 306-000 3232+000 3392-000 0350 2309-000 2419_000 2 1 525000 2 162811110 2823000 300e-ooo 3221_0110 3433-000 3630-000 3U+000 0400 2500middot000 26Z3_000 2742+000 2857+000 3 1 017000 3286000 3534 _000 ~769-000 3992000 4206middot000 0450 2673000 2808_000 2938000 3065_000 3308_000 l539_000 381 4000 4075+000 4324+000 4 563000 0500 2830000 2976_000 311 7_000 3254+000 3519_000 377hOOO 4071 0110 4356-000 4630_000 1193000
0550 2974+000 3130-000 3281middot000 34Z9middot000 37I3-000 3984+000 4308_000 4jI17-000 4913middot000 5198-000 0600 3101middot000 3middot272+000 3433000 3590+000 3892+000 4182-000 4528000 459-000 5176middot000 15483+000 0650 3231middot000 3405+000 3574middot000 3740000 4060000 4366middot000 4733000 50 084middot000 5422-000 5 749-000 0700 3346+000 3529000 3707-000 3880middot000 4216000 4539middot000 4925000 5296000 5653-000 5999000 0750 3456+000 3middot646-000 3832-000 4013middot000 4364+000 4702-00n 5107000 549j1-000 5871-000 6235-000
0800 360middot000 3757_000 3950middot000 41 39-010 4504000 4856-000 5279+000 586-000 6078middot000 6459000 0850 360-000 3864-000 4064-000 4260+000 4639middot000 5004-000 5444middot000 51116-000 6276-000 _6 612-000 0900 3757000 3968000 4175+000 4377+000 4169000 5147_000 502_000 6041+000 6 465-000 6 877000 0950 3854000 4011000 4283-000 4491-000 4896000 5286+000 5756000 6210+000 6649_000 7 075000 1000 3950-000 173000 4391_000 4605-000 5021_000 5423000 5901000 375000 6828000 7 268_000
1100 414hooo 382middot000 4611-000 4836middot000 5272middot000 5695-000 620S+000 6699-000 7177+000 7 643000 1200 43~2middot000 4606-000 4844-000 5078-000 5534-000 5975000 6508000 702middot000 7526-000 8 01 4-000 1300 4604-000 4855+000 5102-000 5344-000 5816+000 6273middot000 61127middot000 7363-000 7884middot000 13392-000 l400 4886-000 5144-000 5398middot000 5647middot000 6133-000 6604-000 7174+000 772emiddot000 8266middot000 13191-000 1500 5223middot000 548hOOO 5746middot000 6001middot000 6498-000 6980-000 7565-000 81 32000 8684middot000 9223000
Page 119
TABLE 13
THE ENTHALPY AND EXCESS ENTHALPy OF THE TOTAL HE3 - HE4 SOLUTyON
X bull 00001 X bull 00002 X bull 00005 It bull 00010 X bull 00020
T -H HE -H HE -H HE -H Hp -H HE IKI (JMOLE) IJMOLEI IJMOLEI (JMOL1 IJMOLEI IJMOIEI IJMOLpoundI fJMOIEI IJMOLEI IJMOLEI
0000 0001 0002 0003
3905631 3905631 3905631 3905630
-000021 -000021 _000021 -000021
3905261 3905261 3905261 3905261
-000042 -000042 -000042 -000042
3904151 3904151 3904150 3904150
-000104 -000104 _000103 -000103
3902297 39112297 3902296 3902296
000203 -000203 _000 202 _000 202
3898580 3898580 3898579 38 98579
_000392 _000392 000391 _000391
0004 3903610 _000021 3905260 -000042 3904150 _000103 3902296 _0 00202 38 985711 _000390
0006 3905630 -000021 3905260 -0110041 3904149 -000102 3902294 -000200 3898576 _000388 0008 0010 0012 0014
3905630 3905630 3905629 3905629
-000020 -000020 -000020 -000020
3905260 3905259 39 05259 3905258
-00004i -000040 -000040 -000039
3904148 3904147 3904146 3904145
-000101 -000100 -000099 -000098
3911229 39(12291 3902289 39CI2287
-00199 _000197 -000195 _000193
3898574 ~89851l 38 bull98567 3898561+
_000386 _000383 _000l80 000376
0016 3905629 -000019 3905258 -000039 3904143 -000097 3902284 -000191 3898560 _000313 0018 0020
3905629 3905628
-000019 -000019
3905257 3905257
middot000038 -00003$
3904142 3904141
-000095 000094
3902282 3902280
000189 -000186
3898556 3898552
_000369 _000365
0025 3905628 -000018 3905255 -000037 3904138 -000091 3902274 000181 3898541 000355 0030 3905627 -000018 3905254 -0110036 3904135 middot000089 390228 _000115 3898530 _000344
0035 3905627 -000017 3905253 middot000034 3904132 -000086 39022(12 middot000170 38 9851 9 _000333 0040 3905626 middot000011 3905252 -000033 3904129 -000083 3902216 000164 3898507 000323 0045 3905625 middot000016 3905250 -000032 39 04126 middot000080 3902210 -000159 3898495 0middot00312 0050 3905625 -000016 3905249 -000031 3904123 -000077 3902244 000153 3898483 000301 0060 3905623 -000014 3905247 -000029 39 04117 middot000072 3902232 -000142 3898459 _0middot00280
0070 3905622 -000013 3905244 -000027 3904110 -000066 3902220 -000131 3898435 000258 0080 0090
3905621 3905620
-000012 000011
3905242 3905239
-000024 -000022
39 04104 3904098
-000061 _000055
39112207 3902195
_000120 000110
38 98411 38 98387
000237
0002 16 0100 39056 18 -000010 3905237 -0110020 3904092 middot000050 39021A3 -000099 3898362 000195 0120 3905616 -000008 3905231 -000016 3904079 -000039 39112118 000078 3898313 000153
011+0 3905613 -00006 3905226 -000012 3904066 middot000029 3902132 000058 3898263 000113 0160 3905610 middot000n04 39115221 -000001l 3904053 -000019 3902107 000038 1898213 000073 0110 0200 0250
3905606 3905603 3905592
-000002 000000 000005
39 05215 39(15209 3905191
middot000004 000000 000010
3904040 39 04026 39 03990
middot000009 000001 000025
3fh020lH 3902055 3901 988
000018 000002 000050
3898163 38 bull98112 3897983
000034 0middot00005 000101
0300 3905577 000010 3905110 000019 3903951 000049 3901 9 19 000097 38 97850 000196 0350 3905557 00001 4 39115144 000029 3903906 000072 3901841 000 145 3191712 000291 0400 3905529 000019 3905110 000031 3903853 000096 3901157 000191 3897566 000384 0450 0500
3905491 3905441
000024 000028
3905066 3905009
000047 000057
3903790 3903115
000119 000142
3bullbull01664 3bullbull 015i1
000238 000284
3897410 3897242
000416 000568
0550 3905375 000033 39 04938 000066 3903625 0001 64 3901 436 000329 3891058 000659 0600 0650 07BO 01 0
3905291 3905181 3905927 3904 99
000037 000042 000046 000051
3904848 3904731 39 04571 39 04336
000075 000084 000093 000101
3903516 39 03381 39 03202 3902949
000187 000209 000232 000254
390126 3901130 39 09203900636
000374 000419 000463 000507
3896856 3896628 38 bull96356 38 bull96009
000749 000839 000927 0middot01015
0800 3904446 000055 3903978 000110 3902511 000275 3900227 000551 3195539 001102 0850 0900 0950 1000
3903900 3903065 3901826 3900046
000059 000064 000068 000072
3903425 3902584 3901339 3899553
000119 000127 000136 000144
3902000 3901141 3899871 3898073
000297 000318 000339 000360
3899625 3898735 3197441 3895601
000594 000636 000611 000720
3894815 3893923 3192569 3890613
001188 001273 001357 001 440
1100 31942)5 000080 3893710 000160 3892195 000401 31189669 000801 3884611 001603 1200 1300
3184068 3867610
000088 000096
3883551 3867012
000116 000191
3882002 31 65500
000440 000478
39 79418 3162863
0Dn880 000955
3874252 38 57588
001160 001 911
1400 1500
3842097 3804138
000103 000110
38 bull 41559 3803592
000206 000219
3839947 3801954
000514 000548
3837260 37 99224
001 028 001 096
38 31887 3793163
002055 002193
Page 120
TABLE 13 (CONTINUEO
l( bull 00030 X bull 10040 X bull 00050 X bull 0060 )( 00080
T bull lot HE -H HE -H HE -H HF -H HE (K (JMOL) (JMOEI IJMOLE) (JMOLE) (JMOLEI (JMOLE) (lMOE IJMOLE) IJMOLEI tJMOLE)
0000 0001 0002 0003 0004
38948l2 3894852 38948l2 3894851 3894850
-000570 -000570 -000570 _000569 000568
3891116 3891116 3891116 3891115 389 111 4
-0bull 00740 -000740 -000740 -000739 -0007311
38117372 3887372 3887372 3887371 3887370
-000902 -000902 -000902 -000901 -000900
3883622 3883621 31=1 83621 38 83620 3A83619
_001058 -001058 00)05700056 _001055
876101 3876101 3876101 38 76101 38 76099
_001349 _001349 _001349 001 348 _001 347
0006 3894848 -000566 3891112 -000736 3887367 -000898 3883616 -001053 3876096 _001J44 0008 0middot010 0012 0014
3894845 3894841 3894837 38 94832
-000563 -000560 -000556 -000551
3891108 38 91104 3891099 38H093
-000732 -000728 -000724 -010718
3887364 3887359 3887353 3887347
-000A94 -000890 -000884 -000878
31113612 3883607 3A83601 31i83594
-001 049 -001044 -001038 _001032
3876091 3876085 3876079 3876071
001340 -0middot01334 _deg01 328 _001321
0016 3894827 middot000546 3891087 -000712 3887340 -000872 38835A7 001024 3876062 001 312 0018 0020
3894822 3894816
-000541 -000536
3891081 3891074
-010706 -010700
3887332 3887324
-000864 -000857
3A83578 3A83569
-001016 -001008
3876052 38 76041
_001303 0 middot01293
0025 0030
3894801 3894785
-000521 -000507
38 bull91055 38bull91035
-0006112 -000663
38bull 87302 3887279
-000836 middot000814
38 83544 3Abull 1I3517
-000985 -000959
38 76011 3875978
-0middot01265 _0middot01234
0035 3894769 -000491 389101 4 -000644 3887253 -000791 38834118 -000932 3875942 001201 0040 0045 0050 0060
38947~2 3894735 38947 18 3894683
000476
000460 _000444 000413
3890992 38 bull90970 3890948 3890902
-000624 000603 middot000583 000542
3887227 38 87200 3887173 38 8711 6
-000767 _000742 000717 _000666
3883457 3883426 3883394 3883327
000904
000876 _000847 _00(1787
3875904 ~875864 38 75823 38 75737
001166
001130 _001093 _001018
0070 3894647 -000381 3890855 -000500 3887059 -000616 38 tl 3259 -000 727 38 75649 _000940 0080 0090 0100 0120
3894611 3894575 3894538 3894465
-000350 -000318 -000287 -000226
3890807 3890760 38 bull90711 38 bull90614
-000459 middot000418 middot000377 000296
3887000 3886941 38 86881 3886761
-000565 000514 middot0middot00463 -000363
38 tl3190 3883120 38 83049 38 tl2905
-000667 -000607 -000546 -000427
3875559 38 75467 3875374 38 75186
_000862 000783 000705 000548
0140 3894391 middot000166 3890516 middota00216 3886639 middot000263 3882760 -000309 3874995 000392 0160 0180 0200 0250
3894317 3894242 3894167 3893976
middot000106 _000047
000011 000155
3890418 389031 9 389021 9 38 89968
000137 -000059
000019 000210
3886517 3886394 3886270 3885958
middot000165 -000068
000028 000266
3882614 3tl 82467 38 82319 3881946
-000192 000076
000039 000324
3874802 3874607 3874412 38 73918
_000238 000085
000067 000444
0300 3893782 000297 3889712 000399 3885640 000502 3881567 000606 3873418 000819 0350 0400 0450 0500
3893581 31193313 3893156 3892925
000438 000577 000116 000854
3889450 38 bull89180 38 bull88900 3888608
000586 000172 000957 001140
3885317 38bull84985 38 84644 3884289
000736 000968 001198 001427
38~113 3F1 bull807A9 3Abull tl 03A6 3A79970
000886 001165 001 44 1 001 715
38 72911 38 72395 38 bull 71869 38 71330
001191 001561 001928 002Z9J
0550 389Z679 000990 3888300 001321 3883920 001654 3879539 001 9S7 38 70775 002654 0600 0650
3892415 3892125
001125 001259
3887974 38876Z1
0015(11 001680
3883532 3883117
001878 002101
3879089 3A78613
002256 0025Z3
3870202 3869602
003013 003369
0700 0750
3891791 3891382
001392 001523
3887225 3886755
001857 002032
3882659 3882127
002322 002542
3878093 311117499
002789 003051
3868958 38 68241
003722 004072
0800 3890850 001654 3886161 002206 3881471 002758 3876781 003311 3867400 004418 0850 3890114 001783 3885373 002378 38 80622 002973 3875870 003569 38 66366 004761 0900 3889111 001910 38 tl4299 00254A 3879487 003186 3874674 003824 3865047 0middot05101 0950 1000
3887696 3885740
002036 002161
38 bull82822 38 bull80806
00276 002882
3877949 3875872
003395 003603
3873075 3870938
004075 004324
3863326 3861069
005436 005767
1100 3879565 002404 3814512 003206 38 69460 004008 3864407 004810 38 54301 006415 1200 1300
386901115 3852313
002640 002867
386391 8 3847038
003520 003822
3858751 3841763
004401 004718
3853584 3836488
005281 005734
3843Z511 38 25938
007043 007646
1400 3826513 003083 3821139 004111 3815765 005140 31110391 006168 3799642 008Z24 1500 37883n3 003289 3782842 004386 3777381 005483 3771 921 006579 3161000 008772
Page lZ1
TABL~ 13 (CONTINUED)
X bull 00100 I( bull 00150 )( bull 00200 )( bull 0n20 l( bull 00300
T -M HE -H HE -M HE -101 HE -H HE 11(1 IJMOLI) (JMOLEI IJMOLll IJMOLEI IJMOLE) IJMOLEI IJMOLrO IJMOLEI IJMOLEI IJMOLEI
0000 386A5118 -001f18 3849616 -00~2011 3830572 middot002692 31111442 00092 3792236 003416 0001 386851118 001618 3849616 -002206 3830572 -002692 3811441 middot001091 H 92236 003416 0002 0003
3868558 386ASo7
_001611t 001617
38 bull 4961b 38 49615
-00220 -002205
38 30571 3830570
-002691 -002690
3A11441 3811 4 3C1
_00)091 00309 0
]79223J 379i234
003416 _003414
0004 38685136 -001616 849613 middot002204 383069 -002689 3811 438 003088 3792232 0034 13
0006 386852 -001613 middot1849609 -002200 JIt3056 -002685 3811433 -00]084 H 92227 003408 0008 0010
3868547 3868541
middotOOlMIt -001602
]849604 3849596
-002195 -0021111
3830558 3830550
-002679 -002672
38114iJ6 38 11 417
-003078 middot003070
37 bull 92220 3792211
003402
0middot03394 0012 0014
3868534 3868525
001595 -0015ti7
3849588 38 bull 49577
middot002180 -1102171
38 30540 38 30529
middot0middot02664 -002653
3Amiddot11 407 38 113C14
-003061 -003 050
37921 9 3792186
003385 _003373
0016 3868515 middot001578 3849566 -0Cl2160 3830516 middot002642 3A1130 _003038 3792171 _003360 0018 0020 0025
3868504 38611492 3868458
-001568 _001557 001526
3849553 31t49538 384949b
-0U2149 0 02135 -0112098
3830501 3830484 3830437
-002629 _00261 4 002572
3811364 3811346 3111294
003024
003008 _002962
3792153 3792134 3792078
003345 _003329 003280
0030 3868420 0111490 3849448 002054 3830380 002522 311111231 _002908 3792111 0 003222
0035 38611371 -001452 3849393 middot002005 3830316 middot0024b5 3811159 _002845 37 91931 003154 0040 0045
3868332 386112A5
-001411 -001368
38 49334 3849270
-001952 -001895
38302116 3830169
-002403 -002336
3111111179 3~10992
-002175 -00700
3791843 3791746
_00]079 _002996
0050 3868236 -001324 3849203 middot001836 3830088 -002264 3810898 -0026 19 3791642 -002907 0060 3868133 middot001233 849062 -001 712 38 29912 -002113 3AI0694 -002444 3791 4 12 -002713
0070 386806 -001139 3848912 -001582 3829725 -001952 3810472 middot00256 3791161 002501 0080 38679 16 -001044 3848755 -001448 3829527 -001784 3810238 002059 3790892 002278 0090 0100 0120
3867803 3867689 3867457
middot000948 -000852 00065
3848595 3848430 3848093
-001312 -001174 000897
3829322 3829111 3828676
-001612 -001437 -0010
3A0999 31109738 311119211
-0Oi854 middot0Oj645 001 217
379060 3790315 3789701
002044
001804
001308
0140 3867220 -000467 3847748 -000618 3828228 -000721 3A08664 000780 ]71190611 000799 0160 3866981 middot000117 3847398 -000340 3827170 middot000359 311 08103 -000339 3788401 000283 0180 3866740 -000087 3847043 -00001 3827306 000004 3A07533 000104 37 87127 000238 0200 0250
3866498 38658115
000102 000570
3846685 38 45779
000216 000908
3826836 38256113
000367 001275
38116904 3805481
00550 001 669
37 117042 37bull 85295
000163 002086
0300 38652l4 001036 3844860 001598 3824431 002185 303981 002794 3783512 003421 0350 0400 0450
3864636 3863998 3863349
001499 001960 0Ol418
3843931 3842990 3842037
002287 002974 003656
3823205 3821965 3820710
003096 004004 004909
31102462 3A0095 37 99371
003922 000049 0011173
37111103 37 79873 3778023
004763 006106 007447
0500 38626117 002873 3841069 004335 3819439 005809 37 ~n800 007292 3776153 008783
0550 31162009 003324 3840085 005008 3818151 006703 37 96209 008405 37 74262 0010113 0600 0(51) 0700 0750
3861312 38605119 3859823 3858982
003772 004217 004657 005094
3839082 3838052 3836977 3835829
0115678 006342 007000 007654
3816843 38 15507 38 14127 38 12672
00759 1 008474 00 9349 010218
3794597 37 929S7 3791272 37 895J3
009511 0106 10 011 701 012784
3772348 3770406 37 6841 7 376635
011435 012749 014054 015349
01300 3858Gl8 005527 3834558 008301 3811095 011078 3187631 013857 37 64169 016634 0850 0900 0950
3856861 3855419 3853577
005955 006379 006798
3833095 38 31348 3829203
008942 009576 010203
3809327 3807276 3804828
011931 012714 013609
3755C9 37 83204 378 0455
014920 015972 017012
3761 793 37 59136 3756085
017906 019166 020412
1000 3851199 007211 3826524 010822 3801849 014432 3777176 01111040 3752509 021643
10 100 3844194 008021 38 189Z8 012034 3793664 016046 37 68404 020053 3743150 024055 1200 10300
38329 15 38153A8
008804 009559
38070eo 37bull8901
0132011 014337
3781247 37 62644
017608 0019112
3155420 37362110
022003 02388 0
3729600 3709925
026390 028639
1400 1500
3788895 3750079
0010280 010965
37 egt2027 37 22780
0154111 016444
3735165 3695487
020550 0219 17
3708310 36 68202
025675 027381
3681 464 3640927
030 79 1 032836
Page 122
TABlF 13 (CONTINUED)
X bull 00350 X bull 00400 X bull 00450 )( bull 0middotn500 )( bull 0middot05S0
T -H HE middotH HE middotH HE H HE middotH HE (K ~JMOLI) JMOLEI (JMOLE) ~JMOLE) IJMOLEI (JMOLEI (JMOUI IJMOLE (JIoIOLf) I JMOlEI
0000 3772966 -003676 3753637 middot003877 37 3U57 middot004027 37 h8JO 004130 J695360 004190 0001 0002
3772966 3772965
003676
003675 37gt3637 3753636
middot003877 0deg3876
3734257 3734256
004027 -004026
3714829 37 14828
004129 004129
1695360 36 bull95359
004190
004189 0003 0004
377293 3772962
_003674 003672
37 53635 3753633
-003875 -003874
3734254 3734252
-004025 -004023
3714827 37 1482)
-004127 004U6
36 95357 ]69535S
004188
004186
0006 3772956 -003668 37gt3627 middot003869 3734246 -004018 3714818 004121 3695348 _004181 0008 0010 0012 0014
3772948 3772939 3772927 3772913
-003661 -003653 middot003643 003631
375361 9 3753609 3753596 3753581
-003862 -003854 -003843 middot003831
3734238 3734227 3734214 37 34198
-004011 -004002 -003992 -003979
37148O 3714798 3714785 3714768
_004114 -004104 004093 004080
3695339 3695328 3695313 ]695297
_004174 _0middot04164 _004153 0middot04140
0016 3772896 -003617 3753564 n03811 3734180 -003964 37h700 -004065 3695277 _004125 0018 0020
3772878 3772857
-003602 -003584
3753545 3753523
003801 -003783
3734160 3734137
-003948 -003929
37147f 9 37 14705
-004048 -004029
369525S 3695231
004107
004088 0025 0030
3772797 3772725
003533
003472 37gt3460 3753383
003730 -003666
3734071 3733990
-003875 -003808
3714636 3714552
_003973 -0OJ905
369515 3695072
004030 _003960
0035 3772641 -003401 3753294 -003591 3733897 -003731 3714404 _003826 3694cJ70 003879 0040 3772546 -003321 3753193 -003507 3733790 -003643 3714342 -003735 3694853 _003785 0045 0050
3772441 3772326
-003232 -003136
3753080 37 gt2958
-003413 middot003311
3733671 3733541
-003546 -003439
3714217 37h080
-00]633003522
3694722 3694579
_0middot03680 _00356sect
0060 3772075 -002925 3752686 -003086 3733250 middot003200 3713772 -003272 3694256 _003306
0070 3771796 -002693 3752383 -002836 3732924 002935 3713426 002993 3693890 003014 0080 0090 0100 0120
3771496 3771179 3770847 3770150
-002446 -002186 -001917 _001359
n52054 3751704 3751338 3750563
-002568 -002284 -001 98q -001372
3732569 3732190 3731790 3730941
-002647 -002342 002023 001352
3713046 3712638 3712207 37112e8
-002688 _002363 -002021 -00300
3693487 369305J 3692593 3691607
_002693 _002350 _001 988 _001219
0140 37 69420 -000783 3749747 -0U0732 3730043 -000651 3710311 _000543 l69055J _000408 0160 3768665 -000195 3748900 -000076 3729107 000069 37U9290 000240 1689449 000434 01 80 0200 0250
3767892 37 67104 3765089
000401 001002 002524
3748030 3747142 3744863
000 59 1 001266 0029A l
3728143 3727157 3724621
000805 001552 003454
37U823sect 3707103 3704365
001041 001 857 003942
36M306 3687131 3684095
001298 002181 0middot04444
0300 3763027 004065 3742527 004723 3722015 005394 37014q2 006075 3680959 006766 0350 3760932 005617 3740150 006482 3719359 007356 3gt8560 00823M 3677755 009125 0400 0450 0500
3758811 3756667 3754500
007173 008729 010279
3737741 )735305 3732844
008249 010016 011779
3716665 3713940 3711186
009330 011307 013281
31955~4 312572 3~89528
010416 012600 014783
3674500 367120] 3667871
011506 013895 016284
0550 3752311 011824 3730358 013537 3708405 015250 386454 016962 3664505 018671 0600 0650 0700 0750
37 50097 3747853 3745563 3743197
013361 014888 016406 017913
3727846 3725303 3722711 3720044
015286 017027 018756 020474
370sect596 3702754 3699864 3696896
017211 01 9 162 021102 023029
318330 36t0210 31701 36 73704
019132 02 293 023442 025577
36 61107 3657b7c 3654185 3650620
021050 023419 025776 028119
0800 3740709 019408 37172sect4 0 22177 3693805 024941 370364 027697 3646931 030444 0850 3738031 020889 3714274 0 23866 3690525 026837 3666784 029798 3643052 032751 0900 3735072 022356 3711015 025539 3686966 028714 3662926 031 88 0 36 38t96 035036 0950 1000
3731722 3727847
023807 025240
3707366 3703194
0 27194 028828
3683018 3678550
030572 032408
3658680 36 53917
033940 035976
36343sect 3629296
037298 039533
1100 3717903 028048 3692666 0l2033 3667440 036006 3142225 03q96A 3617024 043917 1200 1300
3703789 36fI3S80
030769 033389
3677988 3657246
035137 03812A
3652199 3630925
039494 042853
3126423 360461A
043837 047565
3600662 3578326
0middot48166 052261
1400 10500
3654629 361364
035897 038279
3627806 35 1f6414
0 40989 04370q
3600997 35 59179
046068 049124
35 74204 3531 960
051132 054523
3547426 3504757
056181 059906
Page 123
TA8LE 13 (CONTINUEDI
l( bull 00600 )( bull 00640 )( bull 00650 )( bull 0117(10 )( bull 00750
T (Kl
middotH (JMOL1
tolE (JMOLEI
middot101 (JHOLEI
HE (JMOLEI
middot101 (JMOLEI
HE (JHOLEI
11 (JHOLF1
HI (JMOLEI
104 (JMOLE)
1111 tJMOLEI
0000 0001 0002 0003 0004
]675852 3675852 3675851 3675849 3675847
004212
004212
004211
004i110
004208
]660221 ]660220 36b021 9 3660218 36b0215
middot004205 middot004204 -0042n4 middot004202 -004201
]656310 36 56309 36 56308 3656306 3b 56304
004200 -004199 004199 004197 _004195
36 3671i 36 3675 3636734 3636732 36 36730
004155
004155
004154
004153
004151
HlI7133 ]61713Z 3617131 ]61712 617127
004083
004082
004082 _004080 004078
0006 0008 0010 0012 0014
3675840 3675831 3675819 36758 04 3675787
-004203 -004196 -0041 8 6 -004175 -004161
36deg0208 3660199 1660186 600171 3660154
middot004195 middot004188 middot004178 -0114167 -004153
3656297 365628S 3656275 3656260 36 56242
-004190 -004183 -004173 -004162 -004148
3636723 36$67 13 3636700 3636684 3136666
004146
00138 -004129 -004117 -004103
36 17120 3617109 3617096 3617080 3617061
004073 _004065 _004056 _004044 _0middot04029
0016 0018 0020 0025 0030
3675717 3675744 3675719 3675644 36 75554
-004145 004128 -00410B -004049 003978
3660133 3660110 3660084 ]660008 ]659911
-004137 middot004119 middot004099 -0114040 003967
3656222 3656198 3656172 3656095 3656002
middot004132 00411 4 -004094 middot004034 -0D3901
3636645 3136621 3636594 36 36515 31364 19
-004087 004068 004048 00]987 _00]914
3617040 3617015 36 16i88 36169 06 3616807
004013
003995
003974 _003912 _003837
0035 0040 0045 0050 0060
]675448 ]675327 36751 9 1 ]675042]6747 04
-003894 -003798 -003691 -003572 -003304
3659806 ]6I9682 3659542 3659388 3659 039
-003882 -003784 middot003675 -003554 -003280
3655892 3655767 3655627 3655471 3655120
middot003876 -003778 -003668 -003546 -003270
3636306 3t-36177 3636~]1 3635871 31)55(17
_003826 -003727 00]614 middot00]490 -003207
3616691 36165511 3616409 3616243 3615867
_00]749 _003647 -0middot035]] _0middot03406 -00]U7
0070 0080 0090 0100 0120
]6743i0 3673896 36734~7 ]6 7 2948 36 7 1899
-003000 -002666 002306 001925 -001113
3658641 3658201 1657723 3657214 165611 5
-002967 ~01I2623 -0112251 -001855 -001009
3654719 3654274 3653792 3653217 36 5UM
-002956 -002609 -002234 0011135 _00098 1
3635090 3634626 31341~1 36$35S1 332412
-002884 002525 _002136 -0017c1 _0On 828
3615434 3614953 3614427 3613863 3612637
002785 _0024 16 002014 _001583 000654
0140 0160 01 80 0200 0250
3670772 36695138 36613358 3667093 3663814
-000250 000648 001574 002520 004956
3654932 3653685 3652388 3651051 3647581
middot0001011 0(10834 (101 81)6 002803 005314
36 50970 3649707 3648394 3647040 3643522
-000070 000882 001 866 002875 005479
3631147 36 Z98 10 36 l84 1i 326974 36u~3222
0On129 001133 002173 003242 006011
611307 3609896 360842Z 36 06896 36029 15
000346 001399 002494 00]6210middot06549
0300 0350 0400 0450 0500
36604 19 3656946 36534 14 3649835 3646215
007464 010018 012597 0151 89 011784
3643983 36middot0296 3636544 36 32741 ]628893
008027 010734 013471 016223 018981
3639873 363613] 3632327 3628467 3624563
008169 010 913 013689 016482 019280
3119322 315319 3111240 3117103 3602916
0011878 011 8 11 014781 017172 020171
3598766 3594503 3590155 3585741 3581273
009592 012 109 011172 019059 022258
0550 0600 0650 0700 0750
3642560 3638869 3635139 3631357 3627495
020376 022962 025539 028 102 030651
3625007 36 21083 361711 9 3613101 36 09 002
021737 024488 027229 029957 0 32670
36 206 19 3616638 3612615 3608538 36 04379
022017 024868 027650 030420 033173
31)986115 35 9441 3090099 3085728 3SIJ1275
02171 026767 029753 032727 035685
35767511 3572198 3567593 356292i 3558 182
0middot25459 02Sb57 031 15 47 0middot]5024 038 185
0800 0850 0900 0950 1000
3623508 3619331 361878 36100]9 3604617
033182 035692 038180 0 40643 043071
3604177 3600363 35i5672 3590597 3585010
035364 038037 0 40687 0 43309 0 45903
3600096 3595622 3590872 3585738 3580092
035908 038622 041312 043975 046607
35 76695 3071 925 35b68S0 3obI451 3555512
038624 04 1540 044430 047293 050123
3553307 3548242 1542901 3537179 3530948
041326 04444 047535 050595 053622
10100 1200 1300 1400 1500
35 9 1837 35149 15 355201 3520665 3477572
047851 052480 056941 061212 065271
357698 3554330 3531042 3499269 3455838
050988 0 55920 0 60673 0 65223 0 69549
3566664 3549185 3525792 3493922 3450406
051771 056778 061604 066225 070617
35 4 15 08 35 23472 3499502 3407198 3bullbull c32C9
055674 061059 066249 0 7 1219 075943
3516369 3497716 3473330 3440494 3396133
0middot59561 065322 070875 0 761 93 08149
Page 124
TABLE )3 (CONTINUED
l( bull 00800 X bull 00900 X bull 01000 X 0100 X bull 01200
T -H HE -H HE -101 F -p ME _101 ME (1lt) (JMOLFI JMOlE) (JMOlE (jMOLE IJMOLE IJMOLEI (JMOL (JMOLE IJMOLE IJMOLEI
0000 35 975(14 middot003984 3558178 middot00371R 3518774 middot003374 3479308 002968 3439792 _00~512
0001 0002 0003 000 4
359750 4 35 975 02 35 975nl 35 97498
middot003984 003983 003981 _003980
3558177 3558176 3558174 3558171
middot003717 -0037 17 -003715 -0U3713
3518773 35 18772 3518770 3518767
middot003374 003373 003371 003369
3479307 3479306 3479304 34 79301
002967
002967
002965
002963
34 39792 )43979( ~43978l1 34 39785
002512
002511 _002~10 002508
0006 3597490 middot003974 355EH64 -00370R 3518759 -003364 34 79292 -002957 34 39777 0middot02502 0008 0010 0012 0014
3097480 35 97467 3597450 35 974~1
-003966 -003957 -003944 -003930
3558153 3558139 3558121 35 58101
-003700 -003690 -0113677 -0113663
3518748 3518733 3518715 3518694
-003356 middot003346 -003333 -003318
3479281 3479215 3479247 3479225
middotU02949 -002939 -002926 -0029 11
l43976 )439749 34 39729 3439707
002494 _00lt483 -0middot0~411 002456
0016 35 97409 -003914 3558078 -003646 3518670 -003301 34 79260 002894 34 39681 _deg02438 0018 0020 0025 0030
359 73R3 3597305 35 97272 359 7170
-003895 _003874 _003812 -003736
3558051 3558022 3557934 l557828
-0113627 -003605 -003542 middot003464
3518642 3518611 35 18520 35 18410
-003282 -003260 003195 003116
3479171 3479139 34(9045 3418929
-00(1874 -002852 002787 -002707
3439651 34 396 18 3439520 34 39401
_002418 _0023Y6 _002330 002249
0middot035 3597051 middot003646 3557703 -003372 3518279 -003023 34 78794 -0026 12 34 39260 _002152 0040 35969 14 -003543 3557559 -003267 3518129 -002915 34 786 38 -002502 34390915 _002041 0045 0050 0middot060
3096760 3596590 35 96202
-003426 -003297 -003003
3557398 3557218 3556809
-003147 -003014 middot002709
3517960 3517772 3517343
-002793 -002656 -002344
34 784102 ]47826 34778 18
-00378 -002239 -001 9 19
34389 10 3438713 3438248
-001 9 15 ~001774 _001449
0070 35 917o6 -002663 3556336 -002357 3516845 001980 3477298 _001 546 34 37706 _001067 0080 0090 0100 (l120
3595256 35 947 11 35 9413 3592844
-002284 0011170 001425 -000462
3555804 3555221 3554590 35)3209
-0111960 -001525 -001055 -000030
3516284 3515666 3514995 3513519
-001568 -001115 000623
000458
3476709 34 76059 34 75351 34737A7
-001122 000052 -000141
000988
34 37092 34 36411 34 35669 34 34021
_000633 000150
000378 001552
01 40 3591451 000579 3551696 001088 3511893 001644 347204 002237 3432188 0028~7
0160 3389969 001680 3550078 002277 3510147 002914 34701R6 003582 3430203 004270 01 80 0200 0250
35684]1 35 86808 3582602
002826 004010 007094
35 48376 3546607 3541961
~ 004S14 008198
3508303 3506380 -3501309
0middot04252 005644 0~09313
34 b8206 34 661 35 3460653
005004 00492 010432
34 28 093 3425880 34 20001
005772 0middot07349 ~1l547
0300 3578208 010308 1537088 011745 ]495969 013181 3454858 0146 08 3413762 016021 0350 0400 0450
3573687 3369072 3564385
013608 016960 02031+1
3532060 352691 8 3521688
015401 019125 0 228119
3490444 3484784 3479020
017182 021269 025409
3448846 34+2677 34363116
0lR946 023387 027894
3407273 3400612 3393791
020685 025472 030339
0500 3559637 023738 3516387 026676 3473172 029578 34ii9997 032441 3386869 035257
0550 3554838 02739 35 11025 030472 3467254 033764 3423529 037010 3379855 040204 0600 3549992 030538 3505609 034270 3461274 037955 34169A9 041589 3372762 0middot45165 0650 0700 0750
3545097 3540142 3535101
033930 037309 040672
35(01403494605 3488981
0J8062 0 41843 0 45607
34 55233 3449123 3442920
042143 046320 050482
3410383 341137Q1 33 96923
046167 050738 055293
3365594 3358345 335099)
050131 050090 060035
0800 3529933 044015 340 83227 0+9350 3436584 054622 3390008 059827 3343505 064959 0850 0900
3524573 3518938
047333 050624
3477281 3471060
0 53067 0 56754
3430055 3423250
058735 062816
3382899 33 75514
064332 06e804
33351119 3327857
069854 074713
0950 3512922 053R83 3464460 0 60401 3416068 066859 3367711i3 073236 3319520 079531 1000 3506400 057106 31+57357 0 64020 34 08387 070861 3359496 077622 3310689 084300
1100 3491247 063430 3441059 0 7 1113 3390950 078717 334 0924 086237 329098b 093670 1200 1300 1400 1500
3472100 3447128 34138 10 3369028
069566 075482 081147 086534
3420805 3394785 3360506 3314884
077996 0 84634 0 90992 0 97038
3369593 3342529 3307291 3260833
086343 093699 100747 107449
3318468 3290363 3254171 3206878
094603 102674 1104 08 117764
326743) 323829i1 3201148 3153024
102771 1011554 119971 1279 77
Page 125
TABLE 13 ICONTINUED
lC bull 01300 lC bull 01400 X bull 01500 lC bull 01600 lC bull 01800
T -H HE -H HE -H HE -H HE _H HEIKI IJMOLE IJMOlE IJMOLEI IJMOLE IJMOLE IJMOLEI IJMOLE 1JMOLE I IJMOLEI IJMOLE)
0300 3372687 017413 3331638 018779 3290622 020111 3249642 021 408 3167814 023869 0350 336570 022394 3324222 024067 3282756 02569 32413l~ 3158645 0303070~~860400 3358565 027519 3316572 029524 3274627 03147 3232734 O 3 82 U 49121 0370140450 3351242 032740 3308743 0 35091 3266299 037386 32 t 3912 039624 313933 0439050500 3343192 038021 3300771 0 40731 3257811 043378 32 14914 0415963 3129330 050923
0550 3336238 043341 3292683 0 46417 3249193 049427 3205772 052368 3119154 058027 0600 3328596 048681 3214495 052130 3240466 055509 31bull 96509 05815 3108833 0651900650 3320871 054028 3276218 057856 3231640 061608 1 87138 065284 3098385 0723860700 3313058 059373 l267846 063581 3222712 067711 31middot776~9 071760 3087812 0middot79i990750 3305140 064704 3259363 0 6295 3213668 073804 3168057 078230 3077104 0middot86810 0800 3297079 010014 3250733 074989 3204473 079979 3158299 084681 3066231 094008 0850 3288818 075296 3241902 080654 3195073 085924 314834 091104 3055144 1011780900 3280282 080540 3232793 086281 3185395 091931 31 38090 091488 3043773 1083080950 3271311 085741 3223311 0 91863 3175344 097890 3127473 103823 3032031 115388 1000 3261969 090891 3213340 0 97391 3164807 103794 3iU372 110101 3019808 122406
1100 3241139 101011 3191388 108256 3141738 115402 3092188 122446 29 9340 1036214 1200 3216498 110843 31065660 118816 3114925 126686 30middot64296 134451 2963367 1middot496501300 3186321 120334 3134452 129012 3082690 137583 30310]6 146047 2928067 162633 1middot400 3149228 h29431 3095413 1 38787 3042708 148032 2990114 1057166 28 85274 1 7508710500 3099275 138086 30 45634 1 48086 2992106 157974 2938691 167749 2832218 186942
TABLE 13 ICONTINUED)
lC bull 02000 lC bull 02250 lC bull 02500 lC bull 0~750 lC bull 03000 HET -H -H HE -H HE -H HE -H HE
11( IJMOLE IJMOLEI IJMOLEI IJMOLEI 1JMOLE 1 IJMOLEI 1JMOLE I IJMOU IJMOLE IJMOLE 0300 3086192 026125 2984509 028600 2883270 030630 2182540 032152 2682380 033103 0350 3076190 033094 2973502 036195 28 71296 038815 2169633 040893 2668572 0423680400 3065773 040385 2962000 0 44185 2858742 047469 2156058 050180 2654004 052260 0450 31550~7 LIl 2950113 0 52455 2845736 056461 27 41960 059864 2638842 062610 0500 3044049 055579 29 37921 060926 2832369 165698 2727446 069141 2623204 013302
0550 3032858 063364 2925485 069539 2818712 075113 271252 080034 2607178 084249 0600 3021496 071225 2912844 0 78251 2804815 084653 2697460 090382 25908~9 095385 0650 3009986 0 79 135 2900025 0 87031 2790710 094283 26 82088 100140 2574210 106655 0700 2998333 087069 2887042 095851 2776415 103968 26 66500 111372 2557346 1middot180170750 29amp6531 095011 28bull 73890 104688 2761931 113682 26 50701 121947 2540247 129436
0800 297455 102942 2860548 113521 2747241 123401 2634678 132537 2522906 140881 0850 2962356 110849 2846974 122334 2732307 1033105 2618399 143117 2505295 15232 0900 2949870 118716 2833107 1 3110 2717072 142173 26018 10 153665 2487366 163740 0950 2937011 126531 2818865 139830 2701460 152388 2584841 164161 2469051 175105 1000 2923675 134281 2804149 148484 2685377 1061933 25 67402 174585 2450267 186397
1100 2895075 149537 2772820 165529 2651340 180745 25306T9 195143 2410878 208680 1200 2862897 164390 2737991 10 82134 2613880 199083 24 90606 215195 U 6821g 230428 1middot300 2825511 1078747 2698147 198194 2571536 216828 24 45718 234608 32091 251493 1400 27 80917 192525 2651182 213611 25 22276 233868 23 94238 253257 2267110 271736 1500 2126237 205643 2594485 228294 24 63577 250102 2333551 271027 2204447 2 91030
Page 126
TABLE 14
THE VAPOR PRESSURE 0 HE3 - HE4 50LUTrON~
P (TORR)
~ 00001 00002 00005 0middot0010 00020 00030 00040 10010 00060 00080
110
0300 2102-006 4204_006 1051-001 2101-005 4200-005 6295-005 8386_005 1047-004 1251-004 1670-004 0320 0340 0360 0380
3962-006 6961_006 1153-005 1817-005
7923-006 1392_005 2304_00S 3630-005
198a-005 347 _005 5718_005 9068_005
3919-005 6952_005 1151-004 1812-004
7910-005 1389_004 2298004 3617_004
1185-004 2080_004 3442_004 5417_004
1H9_004 2770_004 4~82004 7209-004
1971-004 3457_004 I717-004 1I991-004
2362-004 4143_004 6849_004 1077-00l
3140-004 s505-004 9099-004 1 431-003
0400 2746-005 5482-005 1369-004 2734-004 5457-004 8170-004 1087-003 t 356-003 10624-003 2156-003 0420 4007-005 7988-005 1992-004 3978-004 7937-004 1188-003 1581-003 1972-003 2361-003 3middot134-003 0440 0460 0480
5680-005 7865-005 l070-0il4
1middotU9-OO4 1555-004 2098-004
2810-004 3860-004 5180-004
56g8-004 76 4-004 1031-003
10 119-003 1534-003 2053-003
1614-003 2294-003 3070-003
2227-003 3052-003 4082-003
2middot777-003 3805-003 5090-003
3325-003 4555-003 092-003
4413-003 044-003 082-003
0500 1437-004 2783-004 681 8-004 1353-003 2691-003 4022-003 5347-003 6665-003 7976-003 1058-002 0520 0540 0560 0580
1916-0Q4 2550-004 3403_004 4569_004
3645_004 4734_004 6120_004 7903_004
8829_004 1128_003 1426_003 1789_003
1745-003 2217_003 2781-003 3451-003
3463_003 4386_003 5479_003 6761-003
5173-003 6545_003 8163_003 1005-002
687middot_003 8I9Z_003 1083_002 1333_002
8566-003 1083_002 149_002 1659-002
1025_002 1295_002 1613_002 1983-002
1359-002 1717_002 lU7-002 2 626-002
0600 6182-004 toZ2-003 2233-003 4247-003 8258-003 1225-002 122-002 2016-002 2409-002 3188-002 0620 0640
8434-004 1159-003
1328-003 1733-003
2779-003 3454-003
51 92-003 63U-003
9998-003 1202-002
1478-002 1769-002
1953-002 2333-002
2middot42middot002 J 1I94002
2897-002 3451-002
830-002 4558-002
0660 0680
1599-003 2211-003
2274-003 2middot998-003
4297-003 5356-003
7662-003 9277-003
1436-002 1709-002
2103-002 2485-002
2765-002 3258-002
3425-002 4026-002
4080-002 4789-002
5380-002 305-002
0700 304-003 3964-003 6691-003 1123-002 2026-002 2924-002 31117-002 4705-002 5588-002 1340-002 0720 0740 0760 0780
4205-003 5759middot003 7832-003 1057_002
5250-003 6951003 9183_003 t209_002
8381003 1052-002 1323_002 1665_002
1359-002 1646-002 1997-002 2425-002
2396_002 2829-002 3337_002 3936_002
3427-002 4005-002 4671_002 5439_002
4452_011 2 51 74_002 5996_002 6934_002
5472-002 6331-002 7315-002 8420-002
6486-002 7494-002 8626_002 9898_002
8 497-002 188-002 1 123- 00110 283-001
0800 143-002 1584-002 2096-002 2947-002 4642-002 6328-002 8004-002 9671-002 1133-001 1462-001 0820 0840 0860 0880
1813-002 2459-002 3199-002 4125-002
2063-002 2671-002 3434-002 4383-002
2U5-0OZ 3306-002 4136-002 5157-002
3585-002 4361-002 5304-002 6443-002
5477-002 6 463-00ii 7629-002 9005-002
7358-002 8553-002 9941-002 1middot155-001
9228-002 10063-001 1224-001 1409-001
1109-001 1270-001 1453-001 1661-001
1294-001 1 475-001 1680-001 1 911-001
1661-001 1883-001 2middotUI-001 2 4011-001
0900 I271-002 5554_002 6404-002 7816-002 1063-001 1343-001 1121_001 189-001 2172-001 2118-001 0920 0940 0960 0980
6677-002 8390-002 1046-001 1294_001
6988_002 8729middot002 1083_001 10334_001
7917-002 9742-002 1193-001 1453_001
9462-002 1143-001 1376-001 1652-001
1254-001 1478-001 1741-001 2047-001
1560-001 1812-001 2103-001 2440_001
186middot-001 21 4-001 2464-001 2831-001
216middot001 2474-001 2823-001 3220-001
2468-001 2802-001 3180-001 3607-001
3065-001 3 453-001 887-001 4374-001
1000 19-001 1632-001 1761-001 1976-001 2403-001 228-001 3251-001 2671-001 4089-001 4 919-001 1050 1100
2579-001 4028-001
2631-001 4089-001
2786-001 4273-001
3044-001 4578-001
3557-001 5186-001
4067-001 5790-001
4575-001 6392-011
5080-001 6990-001
5583-001 7585-001
579-001 8 166-001
1150 10200
6081-001 8907-001
6153-001 8990-001
6367-001 9U-001
6724-001 9650-001
7435-001 1047middot000
8142-001 1129middot000
8845-001 1210middot000
9545-001 10 291000
1024middot000 1312middot000
1162middot000 1 532000
1300 1768middot000 1779000 1811middot000 1865000 1971middot000 2077middot000 213000 2288middot000 2393middot000 2601000 1400 1500
3220+000 5468+000
3234middot000 5485000
3274middot000 5534+000
3341000 5616+000
3475+000 5779000
3608+000 5942000
3741+000 610middot000
3813+000 6265middot000
4005middot000 6 426000
4266middot000 47000
Page 127
TAeL[ 14 (CONTtNU[OI
p ITORRI
00100 o0150 00200 00250 00300 00350 00400 004S0 00500 00550 ~
110
0300 2082-004 3100-004 4096-004 5069-004 6015-004 6933-004 182Z-004 11681-004 9510-004 1031-003 0320 3913-004 5819_004 1682-004 9499-004 1126-003 1298-003 1463_003 1624-003 1718-003 1921-003 0340 6858_004 1019_003 1344_003 1661_003 1969_003 2261_003 2556 003 183S-003 3104_003 363-003 0360 1133-003 1682_003 2218_003 21~9-003 3245_003 3136_003 4211_003 4669_003 5112_003 5538-003 0380 1181_003 2643_003 3483_003 4299_003 5093_003 5861_003 6605_003 1324_003 A017_003 e 68S_001
0400 2684-003 3980-003 5243-003 6471-003 1662-003 8811-003 9935_003 1101-002 1206-002 )306-002 0420 3900-003 S180-003 761Z-003 9392-003 1112-002 1279-002 144Z-002 598-1)02 1150-00Z ]895-002 0440 5490-003 8135-003 1071-002 1321-002 1564-002 1199-002 2021-002 2247-002 260-002 2 666-002 0460 1518-003 10114-002 1466-002 1808-002 2140-002 2462-001 27H-002 3015-002 3367-002 648-002 0480 1005-002 1489-002 1959-0OZ 2416-002 2859-002 3289-001 3706-002 4109-002 4499-002 4875-002
0500 1315-002 1948_002 2562-00Z 3160-002 3739-002 4302-002 4141_002 50314-002 5885-002 6378-002 0520 1690-002 2501-002 3289_002 4056-002 4800-002 5522-002 6222_002 tIe99-002 7555-002 8189-002 0540 2134_002 3158_002 4153_00 2 51Z0-002 6059_002 6970_002 185middot_002 8710-002 9538_002 1 034-001 0560 2656-002 3928_002 5165_002 6367-002 1535-002 8668-002 9767_002 1083-001 1186-001 lch-OOI 0580 3261-002 4821_002 6338-002 1812-002 9245_002 1063-001 11 98_001 1329-001 1456_001 1 519-001
0600 3958-002 5847_002 7685-002 9471-002 1121-001 1289-001 1 53-001 1611-001 1765-001 )914-001 0620 4152-002 7016-002 9217-002 1136-001 1344-001 1546-001 1142-001 1931-001 2117-001 ZZ96-001 0640 5653-002 8middot331-002 1095-001 1349-001 1595-001 1835-001 2068-001 2294-001 2513-001 2 726-001 0660 66o6-002 98Z1-002 1289-001 1587-001 1871-001 2159-001 2433-001 2~99001 2 957-001 3 208-001 0680 7803-002 1148-001 1505-001 1853-001 2191-001 2~20-001 2114(-001 3150-001 3451-001 3144-001
0700 9073-002 1332_001 1146-001 21 48-001 2539-001 2920-001 3290-001 3649 001 3998-001 4337-001 0720 1049-001 1537_001 2011-001 2473-001 2923-001 3360-001 3785_001 41 99-001 4600-001 990-001 074 0 1206_001 1762_001 2304-001 2831-001 3344_001 3843_001 4328_001 4800-001 5259-001 5 705-001 0760 1380-001 2011-001 2625_001 3223-001 3805-001 4371-001 492Z-001 5451-001 5979-001 6 86-001 0780 1573-001 2284_001 2977_001 3651-001 4307_001 4946_001 51368_001 61 73 001 6762-001 7335-001
0800 1787-001 2585-001 3362-001 4111-001 4855-001 5572-001 6270-001 tI 950-00l 7612-001 8 255-001 0820 2024-001 2914-001 3782-001 46Z6-001 5449-001 6250-001 7030-001 7190-001 8530-001 9Z50-00l 0840 2286-001 3276-001 4240-001 51 78-0111 6093-001 6 984-001 7852-001 86911-001 9521-001 1032-000 0860 2577-001 ]612-001 4139-001 5178-001 6790-001 7717-001 8739-00 9~16-001 1059-000 1middot148-000 0880 2900-001 4107-001 528Z-001 64C8-001 7545-001 8633-001 9694-001 1073-000 1114-000 1 272000
0900 3258-001 4583-001 5874-001 71 33-001 8360-001 9556 001 1012000 186000 12970000 1405000 0920 3656-001 5105_001 651 9-001 1896-001 9240-001 1055000 118l000 1307middot000 1 4290000 1 547000 0940 4097-001 5619_001 7220-001 8123_001 1019000 116200(1 130Z000 14311000 1570000 1100000 0960 4588 001 308_001 7984_001 9619-001 11210000 1217000 1429000 1571000 1122000 ]863000 0980 5133-001 6998_001 881 6-001 10590000 1232000 14010000 11566000 727middot000 1884-000 2 037000
1000 5739-001 7155-001 9721-001 1164000 1351000 1534000 1112000 1887middot000 2051middot000 2 223000 1050 1566-001 9990-001 1235middot000 1466middot000 1692000 1912000 2121000 2middot33middot000 2543middot000 2143000 1100 9935-001 1281000 1561+000 1835middot000 2103000 2365-000 2620000 2810middot000 3115000 3354-000 1150 1299-000 1635middot000 19640000 228Smiddot000 2599middot000 2906middot000 3206000 3500middot000 3787middot000 4 068000 1200 1690middot000 2079000 Z460middot000 2832000 3196000 3552middot000 3900000 4242-000 4576middot000 4 902000
1300 2801 000 331 4000 3810middot800 4295000 47nmiddot00O 5237middot000 5o93middot000 6140000 6578middot000 1008000 1400 4526middot000 5165000 5791000 6404-000 7006-000 7596middot000 8175000 8743middot000 9300000 9846000 1500 7064middot000 7848middot000 8618-000 9373middot000 1011middot001 1084001 11560001 1226middot001 1295middot001 1middot36Zmiddot001
Page 128
TABLE 14 ICONTINUED
P ITORR
00600 00640 00650 00700 00750 00800 00900 01000 01100 01200 ~ 00
0300 1107middot003 10166003 1181middot003 1251003 1318middot00l 1382-003 1tSOOmiddotOOl 606middot00l 1700middot003 1 183-003 0320 2069003 211900l 2206003 2337middot003 2 46200l 2582_00l 2804_003 3003003 3182003 33l9003 0340 3611003 3803_00l 3850003 4079003 4298_003 4507003 4896_003 5241-003 556100l 1841-00l 0360 5948 003 6264003 6341003 6718003 7080_003 7425_003 8069003 8652003 917600 3 9 644003 0380 93~8_003 9824_003 9946_00 3 1054002 1111-002 1165_002 1267002 1359-002 1442_002 i 517-002
0400 1403-002 10418-002 1496-00Z 1586002 1 1171-002 1153-002 1907002 2047002 2 174-00Z 2 288-002 0420 2036-002 215middot002 2171-002 2301-002 2426middot002 2546-002 2770middot002 l975-002 3161-002 329-002 0440 2864-002 301 7002 3054-002 323a-002 3414-002 3583002 3901-002 41 9Z-002 457middot002 bullbull696-002 0460 3920-002 4130middot002 4181-002 4433-002 4675-002 4908-002 5346-002 5747-002 6114middot00Z amp447-002 0middot480 52~8-002 5520-002 5589-002 5926-002 6251-002 6564-002 71 52-002 769]-002 8189-00c 8 640-002
0500 6854middot002 7223middot002 731 4-002 7757-002 8183-002 8594-002 9369_002 OOA-OOI 1074-001 1 134-001 0520 8802002 9277002 9393-002 9964-002 1051-001 1104_001 1205-001 1297-001 1382-001 1460-001 0540 10 112middot001 J 172-001 1186-001 1259-001 1328-001 1396-001 1523middot001 ~640-001 1749001 1848- 001 0560 13113-001 458_001 1bullbull76001 1566-001 1654_001 1738_001 1891_001 044001 2180-001 2306-001 0580 1697-001 J 790-001 1812-001 1923-001 2031-001 2134-001 2331-0b1 2513-001 2682-001 2837-001
0600 20-8-001 21 70-001 2198-001 2333-001 2464-001 2590-001 2829_001 3052-001 3258-001 ]449-001 0620 2469-001 2604-001 2637-001 2799-001 2 956-001 3108-001 3397_001 3666-001 3915-001 4147-001 0640 29~2-00l 3092-001 3132-001 3325-001 3512-001 3693-001 4038-001 4359-001 4658-001 4 935-001 0660 3451-001 640-001 3686-001 3914-001 4135-001 4349-001 4756-001 5137-001 5491-001 5821-001 0680 4028-001 4249-001 4303-001 4570-001 4829-001 5079-001 51556-001 600]-001 6419-001 6 807-001
0700 4666-001 4923-001 bullbull 986-001 5295-001 5596-001 5887-001 6442-001 6962-001 7448-001 901-001 0720 5369-001 5664_001 5737-001 6094-001 6440-001 6776-001 741 1001 8018-001 8581-001 9 106-001 0740 6139_001 6476_001 6560-001 6968-001 7365-001 7750_001 8485_001 ~175-001 9822-001 1043 bull000 0760 6979_001 7363_001 7457_001 7922-001 8374_001 8812_001 9650_001 1044000 1118000 101870000 0780 7892-001 8326_001 8433_001 8959-001 9471_001 9967_001 10920000 101 810000 12650000 13440000
0800 88A2-001 9310-001 9491-001 10080000 10660000 11220000 12290 000 13300000 14250000 15140 000 0820 9951-001 10500000 10630000 11 300000 1194000 12570000 13770000 14900000 15970000 1697middot000 0840 10 11 00000 1171 0000 1186middot000 12600000 13320000 14020000 15360000 16630000 17820000 18950000 0860 1234middot000 13020000 13190000 1401middot000 14810000 15580000 17080000 1middota49deg000 19820000 2100000 0880 1030000 14420000 1461 0000 1551 0000 16400000 17260000 1891+000 2040000 21950000 23340000
0900 11510 0000 5930000 16130000 17130000 18100000 19050000 20870 000 2600000 24230000 25770000 0920 16630000 J753middot000 17760 000 1885middot000 1 9920000 20960000 22970000 24810000 26660000 28360000 0940 18260000 19250000 19490000 20690000 21870000 23010000 25200000 272~0000 29250000 31120000 0960 2001+000 21080000 21350000 22660000 23940000 25180000 2 bull 580000 29850000 32010000 3~OoOOO 0980 21870000 2304 0000 2333 0000 24750000 2614 0000 27490000 30U000 32A o OOO 3~9000 31170000
1000 2385000 2512+000 25430000 2698000 2848 0000 2990000 3279000 548000 38040000 40470000 1050 29390000 3093000 31310000 33180000 35010000 36790000 40230000 43510000 46630000 4 9590000 1100 31)87000 3771 0000 38160000 40390000 42510000 4471 0000 488~0000 52750000 I6500000 60070000 1150 43430000 45590000 4612000 4850000 51330000 53840000 5871 0000 336deg000 6780 0000 72040000 1200 5222000 54140000 55360000 58~2deg000 61420000 6436middot000 1005000 75490000 80690000 85660000
1300 74t90000 77600000 7842+000 8246000 86420000 90310000 97840000 10l1deg001 11200001 11860001 1~00 10380001 10800001 10910001 11 420001 11930001 12430001 13390001 14320001 15210001 16070001 1500 14~90001 1481001 1494001 1580001 16210001 16830001 1804 0001 9200001 2031+001 21390001
Page 129
tOO+8pound tOO+6ZtE tOO+Z61t 1000StOpound lOO+SSSZ lOO+tOZ toO+6ZS2 100middott2 100middotZEZ lUOZYZZ 005 I 10000pound9i tOO+6poundSZ tOOmiddotti tOOpoundIpoundZ 100SLlZ tOOotSOZ toO9t6 1 100middotS1 1009 ( 1006891 00 1 100096 1OO+6St 1000Jnt toOSZ I 1000tZ91 tOOSZSol 1000Z1 10069pound1 100Upound lOOoOSZt OOtI
1000Z 100pound1 100Wtpound1 1000poundSZt 1001111 100Ottl 100poundpound01 000Z6deg6 000pound66 000006 OOZI 100pound611 100SSt1 1006011 toOSSOt 000+poundZ66 000pound6 OOOSOS OOOoIlStS 000Z66 0000SU9 OStl OOOopoundHO 0006096 000+0Z6 000096S 0000S2S OOOotos 00099Z 000+S69 000699 000+9pound9 OOtt 000 at 000Z06deg OOOoWoy OOOmiddotziZ 000middotOU9 00009 000000 00019S OOOSOSS OUOot1ZS OSOt 00064]deg 000019 000_01l14 000+6611S 000+pound9SS 000-6ZS 00006S 000+00 00006 OOOoLZ OOOt
000-pound09 OOOOLliS 00099 00060 S OOOoOts OOOolllS 00006 000091pound OOOmiddotUt 000SZ6pound 01160 OOO-LOSS 000-19poundS OOoyt 000-L6 000-04 0001 h OOO-Stt 000-poundS6pound 000-19E ouO-S6Spound 0960 OOomiddotttoS OOOmiddotZSs OOOoLt OOOozt 0000Z9Z OOOoZO 0006Spound 000119pound OOOmiddotSs~ 000s8Zpound 0iJ060 00095 0000poundpound 00009I1Z OOO-lOl OOOIILIipound 000 0999degpound OOO+npound 00006Zpound OOO+hl Ii 000-966Z 0260 000_ tt1 0000 ltO OOO_ZSIIpound OOO-slLpound OOO-Uipound ooooapoundpound 000_1101pound 000-1I116Z 000-6SSZ OOO-zeZ 0060
OOO-poundOipound 000-19pound OOO-poundOSpound 000-5poundpound 000-6Llpound 000-600pound OOOopoundlSZ OOOoOZ 00006SS2 OOOoSZ 09S0 OOO-Zpoundpound OOOoOSZpound OOOoO~Ipound OOOopoundZOpound 000-9SZ OOO-ZtLZ OOOLpoundSZ OOO-OZ 00009poundpoundZ OOOSZZZ 09S0 000_U6Z 000middot1I06Z OOOotZioZ OOO-oUZ OOOmiddotOLSZ OOO-SpoundZ 00006lZZ 000-Z61Z OOOOOPZ OOO+OOOZ oeo 000_S9Z 000middott6SZ 0009tSZ 000061Z OOOhzZ OOO-UtZ 00006pound0Z 000-Z96t OOOOSS[ OOOotOL1 OZSO OOOopoundpoundZ 00001l6ZZ OOOopoundZZ OUOolstz OOOoZOZ 0000Spound61 OOOUSl 00006L1 000+9L9 000L6t OOSO
000-S90Z OOOoLZOZ OOOoELfIt 000degto6t 000-80St OOOmiddotLtL 0000019t 000-lSS OOOdegLa ( OOOmiddotst1 OSLO OOOottSt OOO-OSLl 0000poundL1 OOOmiddotZLIj 000Z6St 0000pound14]1 OOOmiddotlZl 000S9pound1 OOO-ZIpound OOOzszt 09L0 OOO-SLS1 OOO-poundSSl OOO-SHiL 000-pound91 000middot6pound 1 00009Zpound1 000-9Z1 00010Z1 OOO+ZSI 000-6601 hLO OOO-Lpound OOO-Lpoundl OOO+SIpound1 OOO-ZLZl OOOmiddotIZt 0009St1 000-9801 OOOmiddotLOl OOOSOO 100-90S6 OUO 0009Llt 00000911 OOOoSpound1 1 0000S601 000601 00000001 100-116 tOO-LLO6 100-18 100-poundZpoundS OOLO
000_00 100-SI66 tOO-middotlLo 100-16 100-LOO6 100-pound6SS 100-60S 100-0111L lOO-ZOSL tOO-SlItL OS90 tOO-EOS 100-Z11I tOO_lSZ 100-S00S 100-tL9L tOO-LZpoundL 100-S009 100-6999 100-60 100-9Z19 0990 100_11pound1 100-pound0 100_e69 100-ESL9 100-1lL9 100-619 lOO-9SS 100-L9S 100-6Z tOO_Z61S 09 0 too-Spound~S 100-16SS tOO-S6Le l OO-lIjS 100-0ZS t OO-S~il1degS 100-Z06 100-LtLdeg tOO-LSS 100-01pound OZ9deg0 tOO-poundS9 tOO-SSllo 100-middotSL 100-9 100-8S 100-tOpound tOO-690 100-t6pound 100-9f1L( 100-S~9pound 0090
100-1L6pound tOO-5S6t 100-06pound 100-poundlSpound 100-iL9pound tOO-LlSpound 100-0tOpound 100-IpoundZmiddotpound tOO-ztt ~ 100-OiltgtZ Oaso 100-681pound 100-Z91degpound 100-9t li toO-LOpound lOO-ZL6Z 100-9SSZ tOO-aOLoZ 100-t29Z tOO-zSZ 100-1oZ 0950 100-ZSi 100-ZSZ too-Los 100-tOZ tOO-tLtOZ 100-lI1ZZ 100-991degZ 100-8602 tOO-poundZOZ tOO-O~middott OirSO 100-L96deg 1 100-U61 tOO-LS6 1 too-~Z~o 1 100-Z9S1 tOO-6Lol lOO-90tt 100-S91 100-S6So 100-1(S1 OZSO [OO-OSl 100-E1Sol 100-iOi L [OO-n t 100-8pounddeg1 100-88poundt tOO-Zzpoundt toO-Z8Zmiddot1 100-UZt tOO-Silll OOSO
100-tEtdegl tOO-6pound1 t 100-11pound 1ot tOo-Oinot 100-0601 100-ESO1 tOO-SOool ZOO-tSL6 ZOO-6U6 ZOO-OiO6 OQOZOO-60ti 200-IIpoundoS ZOO-ZapoundoS ZOO-eeZs ZOo-zsOs ZOO-SZSL ZOO-SLL ZOO-09ZL ZOO-610 ZOO-S9 090 ZOO-poundS6degmiddot ZOO-ZOmiddot9 ZOO-iltOq ZOO-SS6S ZOO-OSSS ZOO-gOs ZOO-6lS lOO-eLlS 200-90tS ZOO-poundt6deg 00 ZOO-Imiddotmiddot ZOO-tOZ ZOO-Opounde ilOO-OZ ZOO-OZ1 ZOO-poundOO ZOO-LpoundSpound ZOO-Ettt lOO-SI9 ZOO-Owpound OZO ZOO-96LZ ZOO-SZ ZOO-OLez ZOO-098degZ ZOO-UsoZ ZOO-LHZ ZOO-Sl9Z ZOO-65SZ ZOO-OSoZ ZOO-Otltz 00deg0
ZOO-US1 ZOO-SSol ZOO-LiIl ZOO-USl ZOO-osst ZOO-SOSI ZOO-9poundL t ~00-tf9I ZOO_Z901 ZOO-poundilS1 OaEO ZOO-ltl ZOO-6S11 ZOO-LL I L ZOO-OSIl ZOO-L9tt ZOO-1lmiddot 1 zOO-OOldegl ZOO-(LO1 ZOO-ZtOO ZOO-90001 09pound0 EOO-pound69 EOO-6I1S9 poundOO-OZOL pound00-90L pound00-1I00
0 L EOO-US9 pound00-09 poundOO-n EOO-I0t pound00-110 0pounddeg0
pound00-poundpound1 pound00-6SSpound EOO-~~r (00-066pound EOO-ZL6t pound00-06pound EOO-leLpound poundOO-L69E pound00-96S( poundOO-Upound OlpoundoO pound00-16 pound00-9102 poundOO-ZLO~ EOO-[OZ poundOO-Z01Z tOO-ZLOZ EOO-110Z pound00-6961 pound00-Lt6deg1 pound00-S58I OOEO
000pound0 OSLZO OOSZO IISZZoU OOOzmiddotO OOelO 00910 OOSlO 0010 00pound10 ~
U1~Ol1 cI
(QiON1INO) t i1BYI
TABLE 15
THE HE3 CONCENTRATION TN THE VAPOR ABOVE HE3 - HE4 SOLUTIONS
XV
00001 0On02 00005 00010 00020 00030 0004 0 0005 0 00060 00080
C1()
0300 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0320 0340
09999 09998
10000 09999
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000ioooo
10000 10000
0360 09995 09997 09999 09999 10000 10000 10000 10000 10000 10000 0380 099 87 0 9993 09997 1)9999 09999 10000 10000 100 00 10000 10000
0400 09970 09985 09994 09997 09998 09999 09999 09999 09999 10000 0420 0440
0middot993g 098 79
09969 09lt139
09998 099 76
09994 u9988
0middot9997 0middot9994
09998 09996
09998 09997
09999 0999 7
09999 0 9998
09999 09998
0460 09711 09881 09955 09977 09989 09992 09994 09995 0 9996 09997 0middot480 0 96 20 0 9A O 09921 0 9960 0 9980 09987 0 999 0 0 9992 09993 0 9995
0500 09377 09678 098l-1i1 09934 09967 09978 09983 09986 09989 09991 0520 0540
09032 08570
09491 09230
09790 09677
098q4 09835
09946 09917
09964 09944
09973 0995
09978 09966
09982 09972
09986 09979
0560 07988 0 8881 0 9 520 09753 09875 09916 0 9936 09949 0995 7 09968 05ac 07300 08439 09310 09642 09817 09877 099 07 0992_ 09937 09953
0600 06538 07906 09041 09496 09740 09825 09868 09A93 09911 09932 0620 )0640 0middot160 0middot680
0middot5744 04961 0middot4225 03561
0729 06631 05940 05251
08708 0 8310 0 7851 07342
u9308 0 9075 08795 08 465
0middot9641 0 9 514 0middot9357 0 9 167
09757 09(69 09560 09427
0981 0 9 149 0966(1 09563
09amp52 09798 09730 09646
09876 0 98 30 0 9773 0 9702
09906 0 987 1 09828 09714
0700 02981 04593 06796 118090 08942 09267 094 3 0 9544 0961 6 09708 0720 0740
02486 02071
03982 03431
06230 05661
07675 07227
08681 08386
09078 08860
09290 091111
0 9423 0928 0
09513 09391
09628 09534
0760 01727 02944 051(4 067lt5 08060 08614 089 21 09115 09250 09424 0780 01443 02522 04572 06272 07705 08340 086911l 08928 n9088 09297
oeoo 01210 02159 04075 05787 07327 08040 08451 0 871e 0middot8906 09153 0820 0840 0860
0101 9 00863 00 734
01850 01588 01367
036 18 03205 028 34
05311 1)4851 04414
06933 06528 06120
07718 0737 07024
08181 0 7892 07585
0S4iT 08236 07966
08704 08482 0 8243
0899 1 08812 08616
0880 00627 0118 0 0Z506 04005 057 14 06662 07264 0768 1 07986 08404
0900 00539 0loe3 02216 03626 05317 06295 116934 073113 0 77 16 08177 0920 0 940
00466 0040 4
00890 00777
01 962 01 7 39
03278 029 61
0middot4932 0middot4564
05930 05570
06597 06259
0 7 075 0676 1
0 7434 07143
07937 0768 6
0 960 0980
00353 00309
0068 1 00600
01545 01375
02675 0241fgt
04 216 03888
05218 04878
()592~ 05590
06444 06127
0 6846 06546
07425 07157
1000 00272 005311 01227 021 A5 03582 04553 05266 05813 06245 06884 1050 1100 1150
0020~ 00154 00119
00396 00303 00236
009 34 00723 00570
)1708 I1348 VI077
0291 4 02373 01943
0J811 03179 02653
0450~ 038 2Q
03247
05057 04365 03751
05501 0 48 13 041A4
06196 05523 04889
1200 00095 001 88 00456 00811 01601 02222 02156 032l0 03627 04308
1300 00063 00124 003 05 00592 01117 01586 020011 02386 002730 03332 1400 0middot0044 00087 00215 00421 00808 01164 01 493 01198 0 02081 02591 1middot500 0middot0032 001164 001lt9 00312 0-0606 000881 01140 0138 15 0161 6 02042
Page 131
TABLE 15 (CONTINUED)
XV
~ 001()0 00150 00200 00250 00300 00350 00400 00450 00500 00550
(I()
0300 10000 10000 10000 looon 10000 10000 1000n 1000n ]0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0360 10000 10000 10000 10000 10000 10000 10000 10UOO 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 100UO 10000 10000
0400 10000 10000 10000 10000 100000 10000 10000 10000 0000 10000 0middot420 0440
0middot9999 0middot9991i
10000 09999
10000 09999
10000 119999
10000 10000
10000 10000
10000 10000
10000 10000
]0000 10000
10000 10000
0460 09998 0999A 09999 09999 0middot9999 09999 09999 09999 09999 09999 04 0 09996 09997 09998 1)9998 0middot9998 09999 0 9999 09999 0 9999 09999
0500 09993 09995 09996 09997 09997 09998 0999A 09999 09998 09998 0520 0540 0560 0580
09981i 09983 09974 09962
09992 09988 09982 09974
09994 09991 09986 09980
09995 09993 09989 09984
09996 09994 09991 09986
09996 09995 09992 09988
09997 0999i 09993 09989
09997 09996 0999] 09990
09997 0999t) 09994 09991
09998 09996 09994 09992
0600 09945 09963 09972 09977 09980 09983 099811) 09986 0 9987 09988 0620 0640 060 06f1O
09924 0middot9896 0middot9861 0middot9817
0994 09929 099015 0987c
09961 0 9946 09928 09905
09968 09956 09941 09923
0middot9973 0 9963 0middot9950 0middot9934
09976 09968 09957 09943
09979 0 9971 09961 09949
09981 09Jfh 09965 09954
0middot9912 0 9976 09968 09958
09984 09978 09971 09961
0700 09763 09839 09877 09900 09915 09926 09934 0994 1 09946 09950 0720 0740 070 0780
09699 09622 09531 09427
09794 09741 09679 09606
09843 09802 09754 09698
09872 119839 09800 09754
09892 09864 09830 09791
09906 09881 09852 09819
0991 09895 09869 09839
09924 09905 0 9882 09855
09931 0991 3 09892 09868
09936 09920 09901 09878
081)0 09308 0 9522 09633 09701 09746 09779 09804 09823 09839 09852 08~0 09173 09427 09559 09640 09695 09734 09764 09787 09806 09821 0840 0middot9023 09319 09475 09571 0 9636 09683 0 9719 0976 09769 O97S7 0860 08f1O
08857 08676
0 9200 09068
09381 09277
09494 09408
0 9570 0middot9496
09625 09561
0 9667 09610
0 9700 0961t9
09726 0 9679
09748 09704
0900 0920 0940
08lt81 08273 08053
08924 0876R 08600
09163 090)8 08903
09312 09208 09095
09415 0 9325 09227
09489 09411 09325
0954 0947 09399
09590 09521094amp
09626 09568 09501t
09656 09602 095lt3
0960 09AO
07822 07582
0842t 08234
08758 08603
08973 08842
09122 09008
09231 09130
09315 09224
09J81 0 9299
094)5 09359
09479 09409
1000 07335 08037 081t40 08702 0R886 09022 09127 09210 09278 09334 1050 1middot100 1middot150
06699 06059 Q5438
07513 06960 06398
07998 0751 9 0701 7
08321 07899 01449
0middot8550 0middot8175 0middot7768
08722 08384 08013
0885 08548 08207
0896) 08680 08365
0 9050 0middot8788 0middot8496
09U3 08879 08605
1200 04855 05845 06508 06983 0middot7341 07619 0784) 08025 08178 08307
1300 03840 0481Fl 05522 06052 06466 06798 07070 07298 07491 07656 1400 1500
0)038 02425
03944 0323
04636 03884
05192 04416
05623 04859
05987 05234
06292 0555
06552 05835
06776 06080
06971 06295
Page 132
TABLE 15 (CONTI NUEO)
XV
00600 00~41) 00650 00700 00750 00800 00900 01000 011 00 01200~ 00
0300 10000 10000 10000 10000 10000 10000 10000 1000 0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 03~0 10000 10000 10000 10000 10000 10000 10000 10g00 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000
0420 10 0000 1000t) 10000 10000 100000 10000 10000 10000 1middot0000 10000 0420 1middot0000 10000 10000 10000 10000 10000 10000 10000 0000 10000 0440 1middot0000 10000 10000 10000 1middot0000 10000 10000 10lOO middot0000 10000 04~0 0middot9999 10000 10000 10000 10000 10000 10000 10UOO 1middot0000 10000 0480 0middot9999 09999 09999 09999 0 9999 09999 09999 09999 0 9999 09999
0500 09999 09999 09999 09999 09999 09999 09999 09999 09999 09999 0520 09998 09998 09998 U9998 09998 09998 O999~ 09998 09998 09999 0540 09996 09997 09997 09997 09997 09997 09997 09998 09998 09998 0560 09995 0999~ 09995 09995 09996 09996 09996 09991 099970999 0580 09992 09993 09993 09993 09994 09994 09994 09995 09995 09995
0600 09989 09990 09990 09990 09991 09991 09992 09992 0middot9993 09993 0620 0middot9985 09986 09986 09987 09987 09988 09989 09990 09990 09991 0middot640 09979 0 9981 0middot9981 09982 0middot9983 09984 09985 0998~ 0 9987 09988 0middot660 09973 09974 09974 09976 09971 09978 09980 09981 0middot9983 09984 0middot680 09964 09966 09966 09968 0middot9970 09971 09914 09976 0middot9977 09979
0700 09954 09956 09957 09959 09961 09963 09966 09969 09971 09972 0720 09941 09944 09945 09948 0middotQ951 09953 09951 09960 09963 09965 0740 09926 09930 09930 09935 09938 09941 09946 09950 09954 09956 0760 09908 09913 09914 09919 09923 09927 099]3 0 9939 0993 09946 0780 09887 09893 09894 09900 09906 09911 09918 0 9925 09930 0993
0800 09862 09870 09871 09879 09886 09891 09901 09909 0991 5 09920 0820 09834 0984] 09845 09854 0middot9862 09869 09881 09890 0middot9898 09904 0840 09802 09813 0 98 15 9826 0middot9836 09844 09858 09870 09879 09886 0860 0middot9766 09779 09781 09795 0middot9806 09816 0 9833 09A 0middot98S7 09866 0880 0middot9726 09740 09744 09759 0middot9773 09784 098 04 094120 0middot9833 09843
0900 09681 09698 09702 09720 0973 09749 09772 09790 09805 09818 0920 09631 09650 09655 09676 09694 09710 09737 09758 0middot9775 09790 0940 09576 09s99 0960 09628 09649 09667 09698 09722 09742 09759 0960 09516 09542 09548 09575 09599 09620 0965S 09083 09706 09725 09~0 09451 09481 09487 09518 09545 09569 09609 0 964 1 09667 09689
1000 09381 09414 09422 09457 09487 09514 09558 09594 0middot962 09649 1middot050 0middot9184 09227 09237 09282 0middot9322 09357 09416 0940 0middot9503 09536 1middot100 0middot8956 09010 0middot9022 09080 0 9 130 09175 09250 0931+ 0 9362 0middot9404 1middot10 08699 08765 08780 08851 089 13 08968 09061 091 3 0middot9200 09253 1middot200 0841 8 08496 0851 4 08598 0middot8672 08738 08850 08942 0 9011 09083
1300 07800 07901 07925 08036 08135 08224 08375 0 850 1 08607 08697 1410 07143 07266 07295 074)0 Q7551 07661 07851 080 10 0middot8144 08261 1500 06481 06626 06659 06813 06953 07081 07304 07492 07655 07795
Page 133
68880 Tl880 lZL8deg0 1980 S880 19pound80 l1ZS0 alSO L20S0 S16L0 OUS1 OpoundUO OL060 deg006middot0 L1680 9188deg0 8lL80 66S8n 8aSS0 OsSO 19pound8deg0 00[ 6pound6deg0 50pound60 SZ60 pound616deg0 81160 060 556S00 Z0680 a88deg0 LUoo OOE
Spound560 60amp60 H60 ~E6deg0 08pound60 6Zpound60 LIi~60 6ZZ60 L816deg0 6pound160 OUZl 02960 L6560 69i60 iE56deg0 66deg0 pound560 Zh6deg0 ZLpound6deg0 8poundE60 86260 05tot 696deg0 9L960 CQ60 _296deg0 _656deg0 pound956deg0 poundZ56deg0 6660 ZL6deg0 060 OUt 0
85L60 5L600 8L60 80L6middot0 8960 6596deg0 82960 6deg96middot0 88560 956middot0 OOt 1860 OS60 l6L60 LLL6middot0 65L60 HoL60 8U60 OL6middot0 8896middot0 OL960 000
pound96middot0 Sa86middot0 1860 Z086middot0 98L6middot0 69L6deg0 6tL6deg0 LpoundL6deg0 tU6middot0 LOL60 086middot0 Z586middot0 86 0 -pound1260 2860 Ot96middot0 96L6middot0 8LL6middot0 89L60 9SL60 ZL6deg0 0160 69860 Z9860 551160 860 poundpound86
00 12960 S0960 96L6deg0 98L60 ELL60 060
S8860 6L8600 ZL860 9860 5860 pound860 OE860 22860 pound1860 Z0860 OZ60 66860 6860 68860 Z8860 poundL8b0 986middot0 Z586middot0 5860 8pound86deg0 6286middot0 006middot0
2166middot0 80660 E066middot0 L696middot0 0686deg0 Z886deg0 poundLe6deg0 L986deg0 09860 2586 0 0 088middotU Z66deg0 12660 LU6deg0 Z166middot0 506600 6686deg0 16860 98S60 0896deg0 L86deg0 098deg0 5pound66deg0 Zpound6600 6266deg0 266deg0 61660 166deg0 L066deg0 pound0660 ij6860 pound6860 0 08deg0 bullbull66deg0 2660 6pound66deg0 11pound660 2pound6b0 Ll660 22660 81660 t660 01660 0~90
pound5660 15660 6660 66middot0 pound66middot0 6pound660 pound66deg0 2pound66deg0 ~2660 5266middot0 0080
09660 6i660 L5660 i566deg0 25660 6660 9660 pound660 166deg0 9pound660 OtiLO L9660 99660 59660 pound9660 19660 8566deg0 55660 415660 (566middot0 6660 OJILO poundL660 2L660 0 U660 ~L660 89660 99660 9660 29660 (966deg0 65660 OtLO 9L660 L~66O LL66deg0 L660 L660 EL660 U66n OL660 89660 L9660 OZLO 2866deg0 2866
0 0 18660 0866deg0 6L66deg0 8L660 U66deg0 9~660 itL66 deg 0 U660 oOLO
98660 96660 5866deg0 l966deg 0 866deg0 pound866 00 2866 00 1866deg0 1866deg0 0866 00 0~900
6966 00 6t1660 0 9866deg0 ~86600 L866deg0 LS660 98660 911660 58660 866deg0 Oli9middot0 16660 166600 166bull0 16660 06660 066600 68660 68660 6S660 98660 090 pound6660 pound6660 pound6660 pound666middot0 pound6660 pound6660 26660 Z6660 C666middot0 1666middot0 Ol9deg0 56660 5666deg 0 -6660 6660 5666middot0 56660 666degn 416660 6660 6660 OU9deg0
96660 96660 96660 11666middot0 111666deg0 96660 9666deg0 9666deg0 9666deg0 S666middot0 O~lO L666deg0 L6660 L 6deg0 L666deg0 ~666middot0 L6660 L6660 L6660 L666middot0 L6660 osmiddoto 86660 86660 96middot0 tl666deg0 11666middot0 96660 8666middot0 8666deg0 tl666middot0 86660 050 6666deg0 66660 6666deg0 00660 66660 6666deg0 6666deg0 66660 06b60 6666deg0 o~smiddoto
6666deg0 6666deg0 66660 0666 0 66660 66660 6666deg0 66660 6666middot0 6666deg0 OOSmiddotO
66660 666600 001)01 0000deg1 6666middot0 6666middot0 6666deg0 0666middot0 tgt66600 OlJmiddotO ggggl 0000deg1 0000middot1 oooOmiddott 0000deg1 deg t 0000 01 OOOOOt 0000deg1 OOUOmiddotl OUOOmiddotl 0deg0 OOOoot 000001 001001 00001 0000deg1 00001 011001 0000middot1 0000middot1 0bullbullmiddot0 00001 ()OOOt 4000deg1 ~ 0000deg1 00001 0200 oOOot 0000deg1 000 I OUOOot 01gt00middot1 00001 0000 01 000deg1 0000deg1 0000deg1 00000( 00001 0000deg1 OOuool 00001 00deg0
OOOOt 000001 OOOOt 0000( 00001 0000deg1 00001 0000deg1 0000middot1 0000deg1 OijpoundO 0000middot1 OOOooL 0000deg1 00001 0000middot1 00001 0000middot1 0000-1 uooomiddott 0000middot 01(0 00001 0000middot t 001)01 00001 0000middot1 0000middot1 00001 00001 ~ ouOOmiddotl 0pounddeg0 0000middot1 0000deg 00001 00001 OOOOOt 0000deg1 00001 OUOOl UOOOol 0000deg O~poundU OOOOt 00001 110001 0000deg1 00001 0000deg1 0000middot1 0000middot1 0000middot1 ~ OOEmiddotO
000pound00 OS~2middot0 OOiZoO OillO OOOZmiddotO 0081deg0 0091deg0 00510 0091deg0 00pounddeg0 ~
fll(
(Q3m~UNOgt 5( 318-1
00
3Table 16 The Enthalpy and Entr opy of He Along the Solubility Curve and the Heat Absorption Rate of the Dilution Refrigerator
T Xt H3 (Xt T) S3 (Xt T) H3 (Xt T) - H3deg(T) (TmTi)Q=O
(O~) 3(Jmo1e He )
3(JoK mole He ) 3
(Jmo1e He ) T=T m
0000 0064000 00 00 00
0001 0064000 9451 x 10-5 010716 8188 x 10 -5 0365
0002 0064002 3781 x 10 -4
02143 3277x10-4 0364
0004 0064007 1 513 x 10 -3 04286 1312x10-3 0361
0006 0064016 3404 x 10-3 06427 2954 x 10 -3 0359
0008 0064029 6050 x 10-3
08567 5254 x 10-3
0357
0010 0064045 9452x10-3 10705 8214x10-3 0355
0015 006410 002125 1604 001850 0349
0020 006418 003772 2134 003288 0345
0025 006429 005881 2660 005132 0339
0030 006443 008443 3182 007377 0334
0035 006459 011448 3697 010012 0329
0040 006480 014884 4206 013028 0325
0045 006503 01873 4705 01641 0320
0050 006530 02298 5195 02014 0316
0060 006596 03257 6141 02857 0306
0070 006680 04347 7032 03813 0298
0080 006784 05549 7867 04865 0289
0090 006906 06844 8643 05995 0281
010 007042 08213 9362 07186 0274
012 007361 11122 10643 09699 0262
014 007731 1 4190 11739 1 2328 0255
016 008157 1 736 12670 1502 0250
018 008628 2058 13468 1 774 0247
020 009144 2383 14154 2046 0245
025 010618 3195 1549 2718 0245
030 012363 3988 1643 3364 0252
035 014373 4749 1710 3975 0260
040 01665 5471 1759 4 541 0271
045 01918 6150 1796 5061 0283
050 02201 6732 1822 5478 0297
055 02527 7338 1839 5916 0311
060 02908 7810 1846 6216 0326
Page 135
TABLE 17
THE HE3 CONCENTRATION SPECIFIC HEAT AND ENTROPy AT CONSTANT ~4
T III m
0000 DEGREES T m
0010 DEGREES Tm 0020 DEGREES
T X Cfgt4 53 X Cfgt4 53 X C~4 53 (K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K)
0000 006400 00000 0001)0 0001 0064011 0107C 01072 0002 006399 02144 02143 1)003 006398 03217 03215 0004 006396 04290 04288
0006 006391 06443 0middot6434 0008 006383 0860 4 08583 0010 006374 10177 10737 006404 10745 10705 0012 006362 12964 12894 006393 12925 12856 0014 006349 15168 15058 006379 15122 15013
0016 1)06333 17391 17228 006364 17339 11171 0018 006316 19637 19406 006346 19578 19348 0020 006296 21907 21592 006326 21842 21528 006418 21645 21331 0025 006238 27104 211OD 006269 27621 27019 006360 27375 26779 0030 006169 33693 32677 006199 33593 32580 006290 3middot3294 32290
0035 006088 39888 38333 006118 39770 38219 006208 39418 37880 0040 005997 46282 44074 006026 46146 43943 006116 45742 43553 0045 005896 52846 49903 005925 52693 49755 006014 52240 49314 0050 005786 59564 55816 005815 59395 55651 005903 58895 55161 0060 005541 73202 67879 005575 73009 67681 005660 72435 67092
0070 005289 86727 80182 005316 86518 79953 1105399 85892 79272 0080 005022 99790 92623 005048 99571 92365 005128 98921 91598 0090 004755 112071 105096 004780 1l185S 104812 1104856 111205 103968 0100 004494 123295 117500 004518 123082 111193 004591 122446 116281 0120 004009 141442 141746 004031 141265 141403 004098 140840 140380
0140 003585 156269 164861 003605 162838 164491 003665 161448 163389 0160 003182 164656 187486 003200 165749 187085 1103259 165830 185794 0180 002908 175207 207065 002924 172729 206659 002974 172843 205449 0200 002654 181627 225819 002669 181539 225403 002714 161273 224163 0250 002155 192703 267752 002167 192629 267319 002204 192403 266030
0300 001806 197727 303369 001817 197703 302925 001848 197634 301600 0350 0400
0middot01551 001356
201378 203670
334078 361131
001560 001364
201326 203647
333632 360677
(101586001387
201166 203580
332303 359322
0450 001203 205341 385205 001210 205319 384749 001231 205265 383393 0500 001079 207311 406925 001085 207267 406466 001104 207124 405100
0550 000977 209525 426780 000982 209480 426317 1100999 209355 424935 0600 0650
000890 000815
211960 214933
445111 4621A8
000895 000819
211917 214842
444643 461716
000910 000834
211778 214654
443252 460311
0700 000749 218847 478254 000753 218781 477774 000766 218554 476354 0750 000690 224606 493538 000694 224507 493054 1gt00706 224094 491613
0800 000635 233202 508299 000639 233033 507806 000650 232577 506334 0850 000583 247028 522826 000587 24677tJ 522321 000597 246067 520817 0900 000531 268309 537531 000535 267920 537007 000545 266765 535449 0middot950 1000
000478 000421
297390 331787
552922 569838
000481 000424
301574 333057
552370 569242
100491 000433
299752 331382
550730 567414
1100 000283 704503 614275 000286 693165 613469 000294 676812 611083 1200 000098 1738501 714579 000100 1677101 710943 000108 Itgt1J305 705365 1300 000000 000000 000000 1400 000000 000000 000000 1500 000000 000000 000000
Page 136
TABLE 17 (CONTINUED)
T m
II 0050 DEGREES T m
bull 0100 DEGREES Tm a 0200 DEGREES
T X Clo4 53 X CIlo4 53 X Cf4 53 IK) (JMOLE-K) CJMOLE-K) (JMOLE-K) (JMOLE-K) (JMULE-K) CJMOLE-KI
0050 006530 55557 51950 000000 00000 00000 000000 00000 00000 0060 006270 68655 63235 000000 00000 00000 000000 0middot0000 00000
00 70 005989 81771 74805 000000 00000 00000 000000 0middot0000 00000 0080 0middot05696 94606 86566 000000 00000 00000 0middot00000 0middot0000 00000 0090 0100
005401 005113
106847 1181A5
98424 1100281
000000 007042
00000 107161
00600 93624
000000 UOOOOO
0middot0000 00000
00000 00000
0 120 004 571 137293 133640 006307 126129 114848 000000 000000 00000
0140 004092 156793 156114 005656 146070 135676 000000 00000 00000 0 160 Ol AO
003653 003327
163652 171204
177909 197439
005061 004604
155667 164952
156134 174878
000000 000000
0middot0000 0middot0000
00000 00000
0 2 00 003037 179369 215941 004201 173821 192764 009144 164768 141542 0 250 002467 190964 257442 003412 187054 233201 u07228 179647 180039
0 3 00 002068 197137 292804 002858 194075 267968 u05973 188660 213658 0 35 0 0 4 00
(l01H6 001553
200234 202994
n34fl 350331
002453 002145
198430 201291
298213 324896
U05086 U04425
194110 197611
243173 269326
)450 001378 205010 374367 001903 203481 348720 003914 200048 292741 0500 001236 206535 396039 001708 204712 370237 003507 201931 313911
0 550 001119 208399 415799 001548 206821 389813 003175 20middot3386 333225 0600 001020 210771 414025 001412 208861 407902 002898 204920 350978 n650 000935 213497 451000 001297 210600 424690 002664 20middot6195 367435 071)0 000861 216978 466944 001196 213002 440377 002461 20middot7636 382765 0 750 000794 22191H 482076 001106 216663 455190 1102285 210191 397161
0 8 00 000733 229486 496632 001025 222308 469343 002128 212345 410815 0amp50 000675 241307 510879 000950 230723 483062 001985 217372 423801 0900 000618 2596~7 525170 000878 243589 496597 001854 223342 436408 0950 000560 288207 539953 000806 263229 510274 001729 231609 448695 1000 000498 321825 555896 000131 289821 524529 001607 244603 460892
1100 000354 580966 595964 000565 305216 557481 001358 288125 486278 1200 000162 1230201 671211 000355 1001625 606464 001079 363583 515631 1 300 000000 000078 2840930 750865 000742 115849 556015 1400 000000 000000 000317 1501686 634901 1500 000000 000000 000000
TABLE 17 (CONTINUED)
T = 0300 DEGREES T 0400 DEGREES T OIOO DEGREES m m m X CJJ4 53 X Cf4 S3 X Cf4 S3
(Kl (JMOLE-K) (JMOLE-K) (JMOLE-K) CJMOLE-K) (JMOLE-K) CJMOLE-KI
0300 012363 197721 164293 0350 010046 198066 194823 0400 008543 1988(1 221262 016650 231794 175895 0450 007456 200199 244745 013616 216682 202286 0500 006625 201422 265893 011739 209547 224585 022010 284688 182210
0550 005964 2()2486 285136 010385 207183 244405 017706 241038 207168 0600 005423 203453 302792 009340 206270 262377 015343 221874 226966 0650 004973 21)4394 319111 008499 205979 278867 013675 215281 244396 0700 004589 205386 334292 007803 206054 294129 012391 212093 260209 0750 004258 206601 348500 007214 206428 308354 011354 2100432 274773
0800 003968 208229 361883 006707 207156 321697 010490 20middot9682 288323 0S50 003710 210496 374572 006263 208357 334289 009753 209631 301028 0900 003477 213783 386691 005868 middot210216 346247 009111 210241 313024 0950 003261 218696 398373 005512 213016 357683 008544 211636 324424 1000 003058 225569 409762 005184 217007 368707 008032 213912 335333
1100 002670 248215 432273 004583 230394 389969 007127 222135 356068 1200 002275 292769 455737 004014 255243 411031 006314 237633 376018 1300 001839 370332 482695 003432 299765 433198 005531 265004 396073 1400 001329 483665 518038 002796 384167 458542 004725 313845 417432 1500 000707 1466084 577753 002064 573025 491242 003846 405955 442029
Page 137 GPO 840middot 501
Table ot Contents (continued)
Table 16 3
The Enthalpy and Entropy 01 He Along the Solubility
Page
Curve and the Heat Abs orption Rate of the Dilution
Refrigerator 135
Table 17 3
The He Concentration Specific Heat and Entropy at
Constant 11 4
136
vii
ABSTRACT
3 4The thermodynamic properties of liquid He - He solutions beshy
tween 0 and L 5degK are calculated by using the weakly interacting Fermishy3
Dirac gas model for He in He4 Certain experimental data below about
O 4 0 K are used to evaluate s orne of the parameter s in the model The 3 4
properties of both He in He and the total solution are calculated for 3
concentrations of He up to 30 percent All experimental data agree
very well with the calculated results although little data exist below
04degK The calculated properties are used to analyze the behavior of 3 4
the He - He dilution refrigerator in both the continuous and singleshy
cycle processes The maximum heat absorption below about 004degK is 3
found to be 82 T2 joules per mole of He circulated The effect of an 4
imperfect heat exchanger and He circulation on the refrigeration
capacity is discussed An analysis of two new types of single-cycle
processes is also given
Key Words Cryogenics dilution refrigerator enthalpy entropy
Fermi-Dirac gas helium-3 helium-4 liquid mixtures
osmotic pressure quantum fluid specific heat thermoshy
dynamic properties
viii
THERMODYNAMIC PROPERTIES OF HE3 - HE4 SOLUTIONS WITH APPLICATIONS TO THE HE3- HE4
DILUTION REFRIGERATOR
Ray Radebaugh
1 bull Introduction
Early in 1966 Hall et al [1] and Neganovet al [2] independently
succeeded in achieving continuous refrigeration below O 1 0 K using a 3 4
He - He dilution refrigerator Such a refrigerator was first proposed
by London Clarke and Mendoza [ 3] Previously such temperatures
could be reached only by adiabatic demagnetization of a paramagnetic
salt although the process is not a continuous one Since the dilution
refrigerator has certain advantages over adiabatic demagnetization
researchers are rapidly turning their attention to this new technique
Several new dilution refrigerators have been built since early 1966 with
many others in the construction or planning stage Improvements are
constantly being made to these refrigerators and as a result the lowest
temperatures reached with them have steadily been reduced Vilches
and Wheatley have just recently reached O 012 OK in continuous operation
[4] and O 0045degK in transient operation [5] It should be possible to
reach even lower temperatures with this technique but further design reshy3
finements are hampered by a lack of data on the properties of the He shy4
He solutions used in the refrigerator
The purpose of this paper is to present a complete and consistent 3 4
set of data for the thermodynamic properties of liquid He - He solutions
for the temperature range 0 - 1 5 degK Such information is needed to
analyze the performance of dilution refrigerators and to help optimize
their design These data of course are also necessary to predict the 3 4
behavior of any other process which involves He - He solutions at these
temperatures Nothing will be said of the transport properties of the
solutions which are also urgently needed for the optimum design of
dilution refrigerator s
Most of the properties to be discussed in this paper have been
measured experimentally but unfortunately very few of the measureshy
ments have been done below O 5degK An excellent list of the experimenshy
tally determined properties has already been given [ 6] To this list
should be added the recent specific heat measurements of Edwards et al
[7] down to about O 1 oK and of Anderson et al [8] down to about O 004degK
The solubility curve has now been measured extensively down to about
O 02degK [9] The specific heat measurements however are not extensive
enough to permit a deduction of various thermodynamic properties as
functions of temperature and concentration down to OOK without recourse
to some theoretical model In this paper it will be shown that the thermoshy
dynamic properties of a weakly interacting Fermi-Dirac gas are in very 3 4
good agreement with all existing experimental data on He - He solutions
for temperatures below 1 50 K provided that values of certain parameters
of the model are determined from experiments Application of these
thermodynamic properties will then be made to describe the behavior of 3 4
He - He dilution refrigerators The Fermi-Dirac gas model has been
applied previously [ 4 5 10] to the analysis of the dilution refrigerator but
not to the extent of this paper In addition the previous analyses did not 3
take into account interactions between the He atoms in solutionwhich is
important for many of the properties
2 Selection of a Theoretical Model
3 4Experiments have shown that He is not miscible in He for all
3 4concentrations and temperatures The phase diagram of He - He
2
solutions shown in figure 1 indicates that for teITlperatures less than
about O 86 OK certain interITlediate concentrations are not perITlitted 3
Instead the solution separates into a concentrated He phase floating on 3
top of the heavier dilute solution At OaK it is possible to dissolve He
in He 4
up to a concentration of (64 plusmn O 1) percent [ 9] Thus at very low
teITlperatures the only concern is with dilute solutions and essentially 3
pure He Only dilute solutions will be considered here since a satisshy
factory theoretical ITlode1 has not been found for concentrated solutions
i e for concentrations greater than about 20 to 30 percent The propshy3
erties of pure He can of course be deduced directly froITl experiITlenta1
results SOITle of which extend down to the ITlillidegree region
Landau and POITleranchuk[14] were the first to propose a theoreti shy3 4
cal ITlode1 for the behavior of dilute He - He solutions According to
this theory the excitation spectruITl of the liquid is ITlodified by the addition
of noninteracting FerITli quasipartic1es equal in nUITlber to the nUITlber of 3
He atOITls The analysis was liITlited however to the nondegenerate
(high teITlperature) range where the quasipartic1es can be treated as an 3
ideal gas and thus would contribute an aITlount 32 R per ITlo1e of He
to the specific heat of the solution For teITlperatures sOITlewhat less 4
than 1 0 K the specific heat of He becoITles extreITle1y sITlall so the specifshy3
ic heat for T lt 1 deg K is due solely to the He contribution For teITlperashy
tures of about O 5degK and for concentrations less than 15 percent the
prediction of a 32 R contribution to the specific heat has been borne out
by ITleasureITlents of Edwards et al [7] Results of de Bruyn Ouboter
et al [11] above 04degK however appear to be in good agreeITlent only 3 4
in the liITlit of zero concentration This ideal gas ITlodel of He - He
solutions has been used in the past to analyze the behavior of the dilution
refriger ator [ 1 2 6 15]
3
15
~middot10
o
Ishy
~
05 o
A
Lin
e
o -
de B
ruyn
Ou
bo
ter
et
01
(J
-E
dw
ard
s e
t 01
amp
-B
rew
er
an
d K
eys
ton
PH
AS
E
SE
PA
RA
TIO
N
RE
GIO
N
04
06
08
10
02
x
3 4
Fig
ure
1
P
hase
Dia
gra
m o
f H
eH
e S
olu
tio
ns
T
he d
ata
po
ints
are
fro
m s
ev
era
l au
tho
rs
l 71
1
l2J
an
d t
he d
eta
iled
beh
av
ior
at
the in
ters
ecti
on
of
the
A a
nd
ph
ase
sep
ara
tio
n
lin
es
is f
rom
th
e w
ork
of
Gra
f et
al
L
13
]
For temperatures approaching OOK the 32 R term must disappear
according to the third law of therrrlodynamics Measurements l 7 8] show
that the specific heat begins to drop at about O 2 to O 5degK (depending on
concentration) and becomes proportional to T for much lower temperatures
Since the dilution refrigerator usually operates below 01 degK the ideal
gas model can not be relied upon to give a satisfactory explanation of the
behavior of a dilution refrigerator
Edwards et al [7] showed that their specific heat data were fit 3
very well at all temperatures by treating the He as a Fermi-Dirac gas 3
with an effective mass m~~ of 2 5 times the mass of a He atom
Anderson et aL [8] also found that the same model would fit their data
within experimental error but with the values 2 38 and 246 for mm3
in 1 32 percent and 5 02 percent solutions respectively The data of
Anderson et al extended well into the degenerate region of the Fermishy
Dirac gas where the specific heat is proportional to both mm and T3
Thus the Fermi-Dirac gas model shows excellent promise for predicting 3 3 4
the thermodynamic properties of He in liquid He - He solutions at all
temperatures
The variation of mm with concentration can be accounted for by3
3conSidering weak interactions between the He atoms Doing so however
does not change the specific heat from that of a noninteracting Fermishy
Dirac gas with the same mm [ 16] It will be shown that the behavior3
of the solubility curve also requires that interactions be introduced 3 4
Thus in this note the thermodynamic properties of He - He solutions
are derived from the weakly interacting Fermi-Dirac gas model
3 Computational Methods
3 43 1 Properties of He in Liquid He
The behavior of the interparticle interaction and its effects must
be evaluated before calculations of thermodynamic properties can be
5
made Bardeen Baym and Pines [17] (BBP) assumed the interaction 3
between two He atoms separated by a distance r is spin velocity and
concentration independent and weak Their interaction is written in
terms of the Fourier transform V(k) by
J V(r ) = V (i~) e i kmiddot r dk (1)
3(21T)
where k is the wave vector For an isotropic systemV(k) = V(k) The
effective mass m~ is then given as [ 17]
m = 1 +1 F S = 1 _ N(O) J2kf V(k) k (1 _ L) dk (2) m 2 23 1 2k 0 2 k o
f f
where m is the value of m at zero concentration o
2 2 (3)N(O) = m k 21T tlf
is the density of energy states at the Fermi surface for one spin orientashy
tion and k is the magnitude of the Fermi wave vector The dependencef
of k on concentration is shown by the relationf
2 2k = (31T n3)13 = (31T NAv)13 (4)f
3where n3 is the number density of He atoms in solution NA is
Avogadros number and v is the volume of solution containing one mole 3
of He The expression
233 v=V X=2758X+760+165X cm moleHe (5)
m
3where V is the molar volume of the solution and X is the He concenshy
m
tration will be used throughout these calculations Equation (5) agrees
6
with experimental data [ 9 18] to within O 3 percent for concentrations
less than X = O 3 and all temperatures less than 1 5degK The value 3 4
27 58 cm mole is the molar volume of pure He between 0 and 1 5degK
To calculate m from (2) knowledge of V(k) is necessary The
simple two-parameter form used by BBP to fit spin-diffusion results
[8] is given by
V(k) = V cos (13k) (6)o
o 2 -38 3with 13 = 316 A and V0 = -00754 m s n = -1 303 x 10 ergs cm
4 44
where m 4 is the mass of the He atom s is the velocity of first sound in 4 4
He at T = 0 and n 4 is the number density of pure He at T O Ebner
[19] recently extended these calculations for V (k) to higher concentrations
and used the form
(7)
where V is the same as that used by BBP and the other parameters are o
C = 40752 C = 00564 (8 ) 2 3
The form of V(k) given in (6) is limited to concentrations less than 5 pershy
cent whereas the form in (7) is valid for concentrations even higher than
30 percent Ebner states however that V(k) in (7) may contain some
10 --15 percent error Both forms for V(k) were used in (2) to solve for
mm assuming mom3 = 234 as suggested by BBP Figure 2 shows3
the calculated concentration dependence of mm compared with four3
experimental points from specific heat data Both curves give good agreeshy
ment with experiment but since Ebners form of V(k) is valid for higher
concentrations mm obtained by using his form of V(k) will be adopted3
here These values of mm are also listed in Table 1 along with k3 f
and the Fermi temperature T f given by
7
23~--_
____
____
____
_~__
____
____
____
__L
__
__
__
__
__
__
__
_~
__
__
__
__
__
__
__
__~
__
__
__
__
__
__
__~
o 0
05
010
0
15
02
0
025
x
3
4 3
Fig
ure
2
Eff
ecti
ve M
ass
Rati
o o
f H
e in
He
as
a F
un
cti
on
of
He
Co
ncen
trati
on
TABLE 1
SOME TEMPERATURE INDEPENDENT PROPERTIES OF HE3 IN SUPERFLUID HE4
X 10-7 kf
-1(em )
T f (OK)
11=
m 1m3
-(1l3 + L 3 deg)R
(OK)
00000 000000 0000000 234000 0258728 00001 040136 0005535 234046 0258841 0middot0002 050567 00087B4 234092 0258956 0middot0005 068628 0016171 234225 0259310 00010 086462 0025643 234442 0259920
00020 108926 0040627 234857 0261201 0middot0030 124677 0053137 235253 0262544 00040 137213 0064255 235633 0263940 0middot0050 147794 0074432 236000 0265382 00060 157041 0083910 236355 0266865
0U080 172814 0101322 237033 0269938 0middot0100 186124 0117214 237674 0273139 0middot0150 212961 0152510 239145 0281601 0middot0200 234287 0183572 240462 0290600 0middot0250 252263 0211771 241656 0300U32
00300 267947 0237848 242748 0309825 0middotU350 281946 0262265 243753 031 99 26 0middot0400 294645 0285332 244684 0330293 00450 306304 0307272 245550 0340892 00500 317109 0328251 246359 0351698
00550 327197 0348395 247117 0362685 0middot0600 336673 0367807 247830 0373837 0middot0640 343870 0382864 248371 0382864 0middot0650 345620 0386567 248502 0385135 0middot0700 354104 0404742 249138 0396565
00750 362178 0422388 249742 0408115 0U8 OO 369887 0439551 250315 041 9775 00900 384352 0472586 251381 0443382 01000 397732 0504107 252357 0467321 01100 410202 0534310 253255 0491539
0-1200 421894 0563353 254088 0515992 01300 432914 0591359 254864 0540643 01400 443344 0618430 255592 0565461 01500 453252 0644651 256278 0590420 01600 462694 0670092 256927 0615498
01800 480362 0718869 258133 066t934 02000 496644 0765151 259239 0716639 02250 515379 0819942 260512 0780246 02500 532610 0871743 261690 0843959 02750 548575 0920896 262796 0907654
03000 563456 0967674 263844 0971234 03500 590503 1054946 265810 1097725 04000 614589 1134915 267648 1222900 04500 636280 1208563 269392 1346348 05000 655978 1276633 271062 1467729
Page 9
2 2 23T h k 2 K m 54 890(v m~~m) oK
f f 3 (9)
where K is Boltzmann I s constant
Stoner [20] has evaluated the specific heat C of a Fermi-Dirac v
gas for all temperatures as a function of the ratio TITr Since he gives
only tabulated results for the intermediate temperature range a power
series expression was fit to his data to facilitate calculations of thermoshy
dynamic properties The details of this power series fit are given in 3 4
Appendix A The specific heat and entropy of dilute He - He solutions
can now be calculated as functions of temperature and concentration
However to proceed with calculations of enthalpy chemical
potential osmotic pressure and other related properties the deviation 3
of the chemical potential of He in solution from that of an ideal Fermishy
Dirac gas must be found There will be a considerable deviation because 3
of the presence of a binding energy and the interaction between He atoms 3
The chemical potential of He in solution can be written as
1 (X T) 1 (X T) + 1 1 (X T)3 f 3 (10)
where 1 is the chemical potential of the ideal Fermi-Dirac gas with effecshyf
tive mass m and is given by T
J H - TS 53 U - TS R T + 53 Jr C dTf f f f f f v
o
T - T J (CvT) dT (11 )
o
In this equation H Sf and U are the molar enthalpy entropy andf f
internal ener gy of the ideal Fermi-Dirac gas and R is the gas constant
Since C has been expressed as a power series in T the integrations v
can be easily carried out with the aid of a computer
10
3
The term 1 13 can be evaluated from the expe rimental data for the
dilute solubility curve and then compared with theoretical re sults for 1 1 bull
The experimental values of 13 are found by making use of the fact that 3
in a phase separated solution the chemical potential of He must be the
same in both the dilute and concentrated phases If at first it is conshy3
sidered that the concentrated phase is pure He then
(12 )
where Xt denotes the concentration of the dilute phase on the solubility
curve
rT T 1 deg = - L3 deg + J C deg dT - T J (C degIT) dT
3 3 3 o 0 (13 )
3is the chemical potential of pure He and L3 deg is the molar heat of vaporshy
lzahon 0 f He 3 OOKpure at T = bull The quantity 1 deg + L3 deg is calculated3
3using values for the properties of pure He given in Appendix B The
term 1X T) in (12) is evaluated using (11) at each data point [79]t
for the solubility curve By combining (12) and (13)values for 13 (X T)t
+ L3 deg can be determined The results of such calculations are shown in
figure 3 Also in figure 3 are shown curves for T f from (9) and a theoretshy
ical result for 113 + L3 deg which will be discussed shortly From (11) (12)
and (13) it is obvious that (-11 3 - L3 deg)R = T f for T = 0 0 K and the conshy3 4
centration at which this occurs is the limiting solubility of He in He at
T = OOK
The theoretical behavior of 1 using V(k) has been discussed by3
BBP and Ebner However bull their definition of 13 is slightly different than
that used here The difference is that they use the effective mass m inshyo
stead of m in evaluating I1 in (l0) The theoretical expression given byf
BBP for their 1-13 r at T = OOK is
11
08
1
06
o ~ 0
4
I-
N
02
o
TH
IS
WO
RK
0CD
l G
I
LO
o -P
3 -
3
R
0-
Ifff
e
f 01
EX
PE
RIM
EN
TA
L
a _
Ed
wa
rds
tit
01
I L
0-P
3-
3
R
005
0
10
015
0
20
0
25
x F
igu
re 3
T
he
Ferm
i T
em
pera
ture
an
d D
ev
iati
on
of
the C
hem
ical
Po
ten
tial
fro
m t
he I
deal
Ferm
i -D
irac V
alu
e
2 NA J2kf 2 k =Eo + (N Iv) V(O) - -2 k (1 - 2k ) V(k) dk (14)A 41T 0 f
where E is the binding energy and is independent of concentration The o
second and third terms on the right side of (14) are the Hartree and exshy
change corrections to ~3 To be consistent with the theory of BBP and
Ebner the ~31 defined by (10) and used here should contain an additional
term equal to the difference between ~f evaluated at mo and m However
when this additional term is neglected the theoretical ~31 from (14) fits
experimental data very well even for temperatures up to O 6degK as will be
shown very shortly Inclusion of the additional term requires ~3 to be
temperature dependent to give agreement with experimental values at
finite temperatures This temperature dependence has been worked out
by Ebner only for the high and low temperature limits Since the primary
purpose of this paper is to find a model which can be used to fit experishy
mental data over a wide range of temperature and concentration the
additional term in (14) required by rigorous theory will not be considered
in this paper Equation (14) was evaluated numerically using Ebners
form of V(k) The quantity Eo + L3 deg is found from a best fit of the
theoretical ~3 + L3 deg to the data points in figure 3 Only the data for
X lt O 075 were considered for the fit since it will be shown that the data
at higher concentrations and temperatures require some correction
From this fit it is found that
(15)
and that
X t (T = O) = O 0640 (16)
13
J
is the limiting solubility of He3
in He4
at T = 0deg K fft et al t 9] report
a slightly different value of O 0637 for X t (T = O) from a T2 extrapolation
of their data The theoretical result for J t is given in Table 1 in addition3
to being shown in figure 3 Including the additional term in (14) would
yield the result O 282 degK for (1S) which agrees with the value given by
fft et al l 9] The uncertainty in V(k) however is such that the difshy
ference in the two results for (-Eo - L3 deg )R is inconsequential [19 21]
The discrepancy between experimental and theoretical values for
1 r at higher concentrations can be completely explained by correcting 1 03 3
4used in (12) to account for the presence of a small amount of He in the
concentrated phase This correction then changes the experimental values
tor J The term 1c which must be added to tl3 deg to give the chemical poshy3
tential of the concentrated phase was actually found by forcing the experishy
mental data for tl3 + L3 deg in figure 3 to agree with the theoretical result
shown in the same figure This correction term J is shown in figure 4 as c
a function of temperature For temperatures above O 4deg K this curve was
deduced from a smoothly drawn phase separation line bridging the gap beshy
tween the low and high temperature data shown in figure 1 Figure 4 comshy
pares this calculated behavior of 1 with two other results for J One of c c
these other results is based on the experimental work of de Bruyn Ouboter
et al lll] for the thermodynamic properties of concentrated solutions
down to about 04deg K The term 1 is calculated from their data by the c
relation IOGt)
- G t + (1 - X ) oX (17)1c - u X=X
u
where X is the concentration of the concentrated phase and G t is taken u
to be
G t = G -l X 1 deg + (1 - X) 1 0]3 4
= X (13 - 1 deg) + (1 - X) (14 - J deg) (18)3 4
14
I I
I I
I
08~------~------~------~-------r------~------~~~
CD-0 E
rn CD
1 0
-gt
0 =l I
--8-- de Bruyn Ouboter et 01
---0-- This Work
--- Regulor Solution Theory
06 I I
I I
I I
I
I fI
I I04
I I
I
I I
02
o 02 04 06
Figure 4 The Difference in Chemical 130tential Between the Conshycentrated Phase and Pure He bull
15
with G as the Gibbs free energy and -1 - -1 0 the difference in chemical4 4
potential between He4
in solution and pure He 4 The term (oGt joX)X=X u
is very difficult to evaluate from the experimental data but appears to
be fairly small For a first approximation that term is chosen to be zero
which then leaves -1 = G i A better approximation can be made Since c
the terms 1J and J must be the same in both the dilute and concentrated 3 4
phases the term oGtjoX must also be the same in both phases The
theoretical behavior of -1 - -1 0 and -1 - -1 (to be calculated later) in3 3 4 4
0
the dilute phase can be used to find oGtjoX This then results in a
negative value for oGi oX and makes -1 less than Gt The difference c
though is only significant above about O4degK but is still less than the
experimental uncertainty and so it is not shown in figure 4 The other
curve shown for comparison in this figure results from assuming that
the solutions behave as a regular solution This assumption should give
reasonable results in the concentrated phase at least for the higher temshy
peratures The details of the calculation for -1 from the regular solution c
theory are given in Appendix C where the concentration X as a function of u
temperature is listed in Table 6 It is evident from the curve shown in
figure 4 that the behavior of -1 which results in an exact agreement of c
experimental and theoretical -1 + L3 0 can be considered to be consistent3
with all other estimates of its behavior although possibly too high around
O 2 OK In other words the theoretical -1 I agrees with experimental data3
along the solubility curve within experimental error and no temperature
dependence of -1 f is necessary to give this agreement even for temperashy3
tures as high as O6degK Of course a small temperature dependence is
still possible in view of the fairly large uncertainty in -1c but -1 I is3
assumed to be independent of T in all of the present calculations In any
case a small temperature-dependent term would have very little effect on
most of the thermodynamic properties at all but the lowest temperatures
since -1 I contributes significantly to these properties only at low temperashy3
tures
16
By using the theoretical behavior of JI t and ~c (11) and (12) can3
be used to derive the theoretical phase separation teInperature as a
function of concentration This calculation is just the reverse of the
case where the experiInental 1-13 I was deduced froIn the experiInental
phase separation teInperature The results for the theoretical phase
separation teInperature are shown in figure 5 along with experiInental
values l 7 9] and are listed in Table 2 To sUInInarize the behavior of
the weakly interacting FerIni-Dirac gas Inodel using Ebners expression
for V(k) which was deduced froIn spin diffusion predicts an In(X)In3
in agreeInent with experiInent These values of In(X)In are used in3
the specific heat of a FerIni-Dirac gas which then correctly predicts 3 4
specific heat of He in He at all teInperatures In addition this Inodel
gives the correct concentration dependence of the phase separation
teInperature
The present definitions (10) and (13) for 1-13 and 1-13 deg result in large
negative values for these terInS at T = OOK due to the quantity L3 o In
addition any uncertainty associated with L3 deg appears in 1-13 and 1-1 0 The3
bull
absolute value of cheInical potential in any systeIn is arbitrary and it
Inakes nUInerical cOInputations siInpler if JI and JI are changed by a3 3
0
constant valu~ The terIns JI3
and JI deg are now redefined by adding L3 deg 3
to the right sides of (10) and (13) The new definitions then becoIne
JI3 (X T) =JI (X T) + JI3
I (X) + L3 deg (10)f
and
T
1-13 deg (T) = JT
C3deg dT - T J (C degT) dT3 o o
(13 )
17
04 bull
03
f- t shy
02
01
c
o 1fft et 01
EXPERIMENTAL C pounddttords et 01
O~~---L----~----~----~----~----~----~----~----~ O~ 008 010 012 014
X 3
Figure 5 The Phase Separation Temperature as a Function of He Concentration
18
Table 2
The Phase Separation Temperature or Solubility Curve for Dilute Solutions of He3 - He 4
X T X T (OK) (OK)
006400 00 0090 o 1946
006404 000946 0095 02129
00641 001486 010 O 2301
00642 00208 O 11 02616
00643 O 0253 O 12 02902
00645 00323 013 03166
00647 00377 014 03412
0065 00445 015 03644
0066 00606 016 03863
0067 00721 017 04072
0068 00817 018 04272
0070 00970 020 04647
0072 01102 0225 O 5075
0074 01223 025 05460
0078 O 1436 0275 O 5809
0082 01618 030 06097
0086 01789
19
where 1-1 t 3 is now shown as a function of X only The term 1-13 0 now beshy3
comes zero at T = 0 oK The entropy and enthalpy of He in He40 are
taken as
T [ _ S3(X T) = Sf (X T) = J C (X T)TJ dT (19)v
o
H (X T) =1-13 (X T) + TS (X T) = 1-13 (X) + L3deg + H (X T)3 3 f
T
= 1-113 (X) + L 3 0 +RTf + (53) J C v (X T) d T (20) o
3 4The osmotic pressure n of He in liquid He can be determined
from the relation
n V = - (1-1 - 1-1 0 ) (21)4 4 4
which follows from altering an equation given by London et al [3] In
(21) the term V =V -X oV lox = 27 58 - 3 30 X3 cm3mole is the4 m m
4partial molar volume of He in solution and is only slightly different than
4V 4 0 The right side of (21) is the difference in the He chemical potentialbull
4 4between He in solution and pure He and is easily evaluated from the
Gibbs-Duhem equation for constant temperature and pressure
dl-13 dl-14 (22)X - + (1 - X) - =0
dX dX
In integral form (22) becomes
XJ X (23)1-14 - 1-14 o -- - 1 _ X dl-13 o
20
which upon substitution into (20) yields
(24)
The integral is easily evaluated numerically since J is known as a3
function of X from (lot)
3 4 32 Properties of the Total He - He Solution
Up to now consideration has been given only to the thermodynamic 3 4properties of He in liquid He and not those of the total solution Howshy
3 ever in the case of the He - He
4 dilu~ion refrigerator operating in a 3
steady state the He contribution is all that is needed Ideally in this 3 4
refrigerator He diffuses through a stationary column of He so that the 4
He contribution is not needed for thermodynamic calculations For the
transient behavior of the dilution refrigerator or any other process where
the bulk liquid is involvedthe thermodynamic properties of the total
solution are needed The total specific heat and entropy are taken as [ 14]
(25)
(26)
where C 4 0 and S 4 0 are the specific heat and entropy of pure He4 Equashy
tions (25) and (26) are good approximations only for temperatures not too
close to the A point since the A point changes with concentration (see
fig 1) Below 1 0 K however C deg is very much smaller than C so the4 v
approximation is certainly good up to X = 03 for these temperatures At
1 5 D K the results for C from (25) begin to deviate considerably from
experiment [11] for X much above O 1
21
The enthalpy H (same as the internal energy U for the low temshy
peratures and pressures of interest here) can be calculated in three
different ways Unfortunately the results are not exactly the same in
each case The first method makes use of the relation
H = G + TS = X ~3 + (1 - X) ~4 + TS
= X H + (1 - X) (~ - ~ 0) + (1 - X) H 0 bull (27)3 4 4 4
To be consistent with (lOt) and (13 1)
rT H a = leo dT
3 J 3 (28) o
T H 0 = - L + L 0 +J C 0 dT (29 )
4 4 0
3 4 o
4where L 4 a is the heat of vaporization of pure He at 0 0 K The second
method uses
T H = Ho +J C dT (30)
o
0 0where H is the value of (27) at T = K The third method which is o
somewhat of a combination of the first two replaces H in (30) for o
X gt O 064 with the value of (27) on the phase separation curve instead of
at oaK The lower limit of the integral is also replaced by the phase
separation temperature The results obtained by this third method should
be a good compromise except for the fact that curves of H versus X for
constant T will have an abrupt change in slope at X = O 064 which would
be unrealistic The second method was chosen for these calculations
and will give the same results as the third method for X S 0064 Since
the theoretical behavior of C agrees so well with experimentthe resulting
22
values of H should be quite accurate at least for X s O 064 The second
method eliminates the abrupt change in slope at X = O 064but the result
for H above this concentration may not be quite so accurate The first
method suffers from the disadvantage that it relies entirely on the theoshy
retical behavior of ~3 and ~4 both of which are more uncertain than the
calculated C The difference in H caused by using the various methods
is only a few parts per thousand This difference is greatly magnified
however when the excess enthalpy
(31 )
is considered The first method can give values for HE which are 15 to
20 percent higher than the second method for large values of X This
difference is due mainly to a temperature dependence of -1 that is not 4
quite consistent with properties such as specific heat Possibly a small
temperature dependent term in ~3 I might correct this inconsistency
From (31) and (27) it is easy to see that at T = OOK HE is just (1 - X)
3 4The vapor pres sure of He - He solutions is found from a trial
and error solution of the equation
J
(32)
3where X is the He molar concentration in the vapor P3 deg is the vapor
3 pressur of pure He and the Bs are the second virial coefficients for
3 4 He and He from the work of Kilpatrick et al [22] Equation (32)
follows from a combination of expressions given by de Bruyn Ouboter
et al [23] A very good approximation for X at least for temperaturesv
23
above about O 5degK can be found from the theory of regular solutions In
this case [ 23]
X (1 - X) p 0 v
p 3 0 exp [ (W RT)(l- 2X)] (33 )
X (1 - X ) shyv 4
where p 0 = p deg exp (B p degRT) is the fugacity of the component i and W 1 1 11 1
is a constant taken to be WR = 1 37degK [24] The results of (33) for X v
are substituted into (32) to find p
The heat of vaporization of a binary solution can be treated as
either integral or differential depending on the conditions of vaporization
[ 25] When a quantity of liquid solution is completely vaporized so the
initial liquid concentration and final gas concentration are equal the
integral heat of vaporization is absorbed in the process This integral
heat of vaporization is ApX if the process is done at constant pressureand
A if done at constant temperature For the low pressures dealt withTX
here the gas phase can be treated as ideal and thus the enthalpy in both
the liquid and gas phase are independent of pressure The integral heats
of vaporization can then be written as
ApX + R(T - TI) = A =XL deg(T) + (I-X) L deg(T) - ~(X T)TX 3 4 (34)
where T is the final temperature in the constant pressure process and 3 4
L3 deg (T) and L deg(T) are the heats of vaporization of pure He and He at4
the temperature T The term -~ gives the deviation from the ideal
heat of vaporization and is just the negative of the excess enthalpy
If a mole of gas is formed from an infinite reservoir of liquidthe
heat absorbed is Avt the differential heat of vaporization In this proshy
cess the gas and liquid phase concentrations are different From the
work of Ruhemann [25]
24
E r E ( ) (X _ X) 0 H (X T) (35)+L-H X T - v oX J
The term in brackets gives the deviation from the ideal differential heat
of vaporization and will be denoted as AE vt
3 43 3 Applications to the He - He Dilution Refrigerator
A schematic diagram of the He3
- He4
dilution refrig~rator is 3
shown in figure 6 Nearly pure He gas leaves the vacuum pump at a 4
pressure of about 30 torr and passes through a pumped He bath which 3
condenses the He bull After passing through a flow limiting capillary the 3
liquid He is cooled by passing through the still and the heat exchanger 3
The pure He liquid enters the mixing chamber or mixer where it 3 4
floats on top of and is in equilibrium with a dilute solution of He in He bull 3
For very low temperatures the dilute solution contains 64 percent He bull
This 64 percent solution communicates with the solution in the still via
the return line in the heat exchanger For the solution in this return line to
be in mechanical equilibrium the chemical potential jJ4 must be the same
throughout the tube Since the te~perature of the still is higher than the
mixing chamber the concentration of the solution decreases as it apshy
proaches the still From results to be given later the concentration in
the still is about I percent for T 5 = o 6 0 K where T 5 is the still tempershy3
ature As this liquid vaporizes in the still nearly pure He is removed
from the solution provided of course superfluid film flow is greatly 3
restricted To complete the cycle the He gas is compressed to about
30 torr at room temperature and returned to the condenser As the conshy3
centration in the still is lowered He will diffuse from the 6 4 percent
solution in the mixing chamber through the heat exchanger to the still
25
He4
~J--~~
He4 -I He3
He3 VACUUM PUMP - 300 OK
CONDENSER 08 -12 OK
CAPILLARY
STILL 06-07 oK
HEAT EXCHANGER
MIXING CHAMBER
He4 shy QOI-QsoK 64 He3
He3
3 4Figure 6 SChematic Diagram of the He - He Dilution Refrigerator
26
3To preserve equilibrium in the mixing chamber He must pass from the
upper rich phase to the lower dilute phase to maintain a 64 percent conshy3
centration in the latter In so doing the He absorbs heat if the temperashy3
ture is kept constant As the He dIffuses through the nearly stationary 4 3
column of He in the heat exchanger it cools the incoming pure He
stream in the heat exchanger A thermodynamic analysis of the dilution 3 4
refrigerator in a steady state uses only the properties of the He in He 4
since the He is stationary in the ideal case
The heat absorption rate of the dilution refrigerator is of fundashy
mental importance to those interested in the capabilities First consider 3
the case where only pure He is circulated by the pump By treating the mixer as an open thermodynamic system this heat absorption rate Q in
the steady state at a temperature T can immediately be written as an
enthalpy difference
(36)
3where n 3 is the molar circulation rate of He the first term on the right
3 4is the enthalpy of He in He along the lower or dilute solubility curve
3and H3cT ) is the enthalpy of He in the incoming concentrated stream
i at temperature T When the mixer temperature is below about O 2 0 K
1 3
the concentrated phase is nearly pure He and so the incoming stream 3 c
must also be nearly pure He bull Thus H3 becomes equal to H deg Howshy3
ever at higher temperatures the concentrated phase in the mixer will 4 4
contain a certain amount of He It is possible for this He to diffuse up 3
the incoming He stream to cause some dilution above the mixer To
calculate the heat absorption in the mixer the concentration of the stream
just as it leaves the last heat exchanger must be known If the velocity of 3 4
the incoming He stream is high enough He will be prevented from
27
diffusing up as high as the heat exchanger E~pressed analytically the 3 bull
stream leaving the heat exchanger will be pure He for n3 LVmDA raquo 1
whereas for ~ 3 LVmDA laquo 1 the stream will have the same composition
as the concentrated phase in the mixer In this expression L is the
length of tubing from the last heat exchanger to the mixer V is the m
molar volume of the incoming stream D is the diffusion coefficient of 4 3
He in He and A is the cross-sectional area of the tube In practice
something between the two extremes most likely will occur The enthalpy
3 l H 4 h d I 1o f He 1n a so utlon conta 1n1ng some e 1S rat er uncerta1n an so 1tt e 4
can be said about the heat absorption in the extreme where the He easily
diffuses up to the heat exchanger However from the work of de Bruyn 3
Ouboter et ale [11] it looks as though the enthalpy of He in the incoming
stream at about O 6degK will be on the order of 10 percent higher than H3 o
The difference between H3 c and H3 deg decreases to zero at about O 2 deg K
Equation (36) should be very accurate when H3c can be taken as
H3 deg since H3 is known very well along the solubility curve Though in
principle H3 (X T) can be found from (20)an alternative method fort
temperatures of O 1 deg K and below has been chosen If the incoming pure 3
He stream is at the same temperature as the dilute solution then the
process is reversible The heat absorption is then given as
Qr(T)~3 == T[8 (X T) -8 deg(T)] (37)3 t 3
from which it follows that
H 3 (Xt T) == Qr(T)n 3 + H3deg(T) == T[ 8 (X T) -8 deg(T)] + H deg(T)
3 t 3 3
(38)
Values of H3 and 8 along the solubility curve are obtained by second3
order interpolation in tables of H3 and 8 as functions of X and T Howshy3
ever interpolation in the 8 table is much more precise than that of the3
28
H 3 table for temperature of O 1 oK and below This is because J r + L3 deg 3
and RTf in H3 are very large numbers which cancel each other exactly
at OOK on the solubility curve Their resulting contribution to H3 slightly
above OOK on the solubility curve is subject to considerable error unless
both terms are evaluated to a great number of places Thus H3 (X-t T)
is evaluated from (38) for temperatures of O 1 OK and below Above T
O lOK (53)I C dT is the dominating term in H3 and so H3 (Xf T) is V
oaccurately obtained by interpolation in the H3 table Values for H3 deg (T )
iare taken from Appendix B
4In the case where the gas circulated contains some He the calshy
culation of heat absorption can become very complex especially at temshy
peratures above about O 2 OK Since operation of the refrigerator above
this temperature is of limited interest analysis of the heat absorption at
these temperatures will not be made Below about 02 OK the amount of 3
pure He available for refrigeration is reduced to
(39)
where X t is the concentration of the dilute phase at the temperature T i 3
n is the number of moles of gas mixture circulated and X is the He conshy
centration in the circulated gas The dilute solution already separated
out at T will contain 1
( 1 - X)n 3t =nXt 1 - X (40)t
3 4moles of He bull Neglecting the very small He contribution the heat absorpshy
tion rate in the mixer per mole of gas m~ circulated can be written as
29
middot Q(TT) 1 r X - X t ) 1 - X J
o = X H3 (XtT) -L(l _ X H3deg (Ti)+X 1 _ X )H3 (X Ti )n t tA A
(41 )
where all the X t inside the brackets must be evaluated at T i
For low flow impedences in the dilute stream between the mixer
and stillthe solution will be in mechanical equilibrium throughout its length
This equilibrium condition is expressed by ~4 = constant and from (21 )this
implies that the osmotic pressure must be constant at least for low
temperatures where d~4 deg dT is extremely small and for low concentrashygt
tions where V 4 is nearly constant At higher temperatures (T O 5degK)rJ
the change of ~ 4 deg with temperature must be taken into account When
this is done the condition ~4 = constant then is equivalent to IT + p f =
constant for small X where IT is the osmotic pressure and P is thef
4fountain pressure of pure He defined and calculated from (80) in Appenshy
dix B For high concentrations the condition IT + p f = constant does not
hold exactly since V 4 in (21) changes slightly with concentration However
the difference in V 4 between X = 0 and X = O 3 is only O 3 percent Given
a temperature and concentration in the mixer the concentration anywhere
in the heat exchanger or still may be found from curves of the osmotic plus
fountain pressure or to be exact curves of ~4 In practice a small 3
gradient in the osmotic pres sure must exist to drive the He through the
heat exchanger and may not always be negligible The calculated conshy
centration in the still then represents an upper limit and the deviation
from this value can be found if the flow impedance of the heat exchanger
is knowno Fourth order interpolations can be carried out in a table of
~4 to find the concentration as a function of temperature Once the conshy3
centration in the heat exchanger is known the entropy of He anywhere
along it is easily found from fourth order interpolation in the S 3 table 3
The specific heat of the He at constant ~ designated as C is then 4 ~4
30
given as 08
1 3 ) (42)CjJ = T ~ aT
4 1-L4= const
The differentiation of S 3 is carried out after fitting the data for S 3 at
constant 114 with a third order polynominal in T It should be obvious
that C will be a function of the mixer temperature as well as the local ~4
temperature since the former determines the osmotic pres sure in the
system
The vapor pres sure and vapor concentration in the still as a
function of both still and mixer temperature can be easily found from
interpolation in the p and X tables using values of X in the still as detershyv
mined from the condition 114 = constant in the dilute stream The heat QS
required to vaporize a mole of liquid in the still has contributions from 3 4
both the He and the He vaporized Because of the large heat of vaporishy
zation of He4 this contribution which is given by (1 - Xv) L deg(T) can4
3 not be neglected The He contribution is Xv L (T) where L (T) is just
3 33
the difference between the enthalpy of He in the saturated vapor and in 3
the dilute liquid The He vapor enthalpy can be written as H3 deg (T)
+ L deg(T) From this it immediately follows that3
(43)
where
(44)
is the deviation from the ideal heat of vaporization and n is the gas flow rate
The interface between the dilute and concentrated solutions must
remain in the mixing chamber if the refrigerator is to operate properly
Thus it is important to examine just where this interface will be for all
31
possible sets of conditions The assumption is made at this point that
the liquid volumes in the heat exchanger and condenser are negligible
compared with the volume of both the still and mixing chamber The
volume of the still containing liquid immediately after the initial filling
and before circulation begins is written as
v = r V (45)s mc
where V is the total volume of liquid in the mixing chamber If the mc
whole system is filled initially with n moles of solution at a concentration
of X then the initial volume of liquid is o
o n V = V + V = V (1 + r) (46)
m mc s mc
where V 0 is the molar volume V of the solution from (5) for a con-m m
centration of X During operation of the refrigerator phase separationo
occurs in the mixer and h is the fraction of mixer volume occupied bym
the dilute solution The total volume of solution during operation will be
different than the initial volume which then results in a change in liquid
level in the still Let the ratio of present to initial volume of liquid in
the still be h Both hand h are found from a solution of the simultashys m s
neous equations
(1 - h ) V X Iv u + h V X p Iv t + h r V X Iv s = nX m mc u m m mc V m s mc s m 0
(47)
(1 - h ) V Iv u + h V Iv t + h r V Iv s = n m mc m m mc m s mc m
(48)
where the subscripts and superscripts u t and s on X and V refer to m
the concentration and molar volume in the upper concentrated phase of
the mixer in the lower dilute phase of the mixer and in the still The
32
3first equation represents the total number of moles of He in the system
and the second gives the total moles of solution Substituting (46) into
these two equations yields
rX (1 + r) X XXt Xu s o u ( - --) h + h =----shy (49)
s s o uV t V u m V V V m m m m m
h = (1 + r) 1 (50)
s s o u V V
m m
after rearranging The values used for X are given in Appendix C u
Problems associated with the heat exchanger can be eliminated by
operating the refrigerator in a single -cycle process In this case the heat 3
exchanger is unnecessary since pure He is not returned to the mixer
Vilches and Wheatley [5] have reached O 0045deg K with this method and 3
maintained it for about an hour before depleting the He bull The proce s s is
reversible and thus for isothermal operation the heat absorption is simply
given by (37) However for T gt 0 0 1 0 K the term S3 deg should be replaced by 3
the entropy per mole of He along the solubility curve for the concentrated
phase although the difference is significant only for temperatures above lt
about 02 or 03degK For T 001 OK it is evident from (38) that (37) beshy
comes identical to H3 (Xt T) - H3 deg (T) = Q(T T)~ 3 which is the maxishy
mum value of Q(T T i)~ 3 and is a fairly good approximation for temshy
peratures up to about O 2 or O 3 deg K The greater refrigeration rate is
gained only at the expense of sacrificing the continuous nature of the 3
dilution refrigerator The amount of He remaining in the mixer after
the lowest temperature is reached is important to know thus analysis
of the transient mode is needed The natural assumption is made that
the heat capacity of the mixing chamber itself is negligible compared with
33
11
I
III
the solution Unless a large amount of cerium magnesium nitrate is used
as the thermometer the as sumption is very g~od Again by treating the
mixer as an open thermodynamic system the change in entropy of the
total system can be expressed as
oQ (51)d8t = T + on 8 J3 3
where oQ is the increment of heat absorbed for the incremental change 3
on of He in the system Equation (51) can also be put in the form3
d8
Qn3 =T-t_8) (52)dn 3
3
where Q is the heat input rate and ~ 3 the molar rate of change of He3
in 3
the mixer- and 8 is the He entropy along the dilute solubility curve3
If n is the number of moles of dilute solution and if the concentrated t 3 lt
solution is assumed to be essentially pure He (T O l5degK) then
8 t = n t 8 + n3 8 3 0
J (53)
where 8 is the molar entropy of the dilute solution from (26) The
derivative becomes
dS t OS dT dnt d8 3 deg dT 0
T dn = n t T OT)X dn + T8 dn + n3 T ciT dn3 + T833 3 3
e dT dnteo dT
= n -d + T8 -d + n3 -d + T8 0 (54)
11 n3 n3 3 n3 3
The mere process of cooling the liquid will automatically cause a small 3
transfer of He from the dilute to the concentrated phase This is evident
from application of the leverage rule to the phase diagram For tempershy
atures les s than about O 15 0 K this effect is quite small and so dnt l dn3
is
34
taken to be zero One calculation was made for a starting temperature
of O 3 oK In this case dnedn was still taken as zero but the value for C3
-1 -1 was taken as [7] C = 64T joules mole deg for a 124 percent solution
below 03 oK instead of using a 64 percent solution Combining (54) and
(52) yields the normalized equation
dT 03 + T (S3- S3deg) (55)
d(n n ) - (ntno) C + (n n ) C deg 3 o 3 o 3
3where n is the original number of moles of pure He in the mixer The
o term T(S3- S3deg) is the same as H (X T) - H deg(T) for T lt O 10K
3 t 3 Equation (55) was solved numerically for T as a function of n3no with
several different values for ntno and 6~ 3 In choosing values for
6~ 3 a value for the ultimate temperature to be reached is picked and
-6~ 3 is set equal to T(S3- S3deg) at that temperature
3When all the pure He is extracted from the mixer continued
3pumping will then begin to remove He from the remaining dilute solution
The obvious question is will this continue to produce a refrigeration effect 3
As the concentration of He in the dilute phase is reducedthe osmotic
pressure is lowered thus work is being done by the system Since the
process is reversible (52) also describes the behavior in this case
However S now becomes t
S t =n3 S 3 + n 4 S 4 deg (56)
so that
(57)
The term n3 dS dn can also be expressed as3 3
35
dS 3 i 08 3 dX oS3 dT n3 dn
3 =n3 oX JT dn
3 + n3 aT)Xdn3
08 3 C 3 dT] = X (1 - X) [ oX) + T dX
T (58)
where the relation X = n3(n + n4) has been used When (58) is entered3
into (57) (52) may be written as
oS bull bull - I 3 dT ]Qn 3 = X (1 - X) LT
oX)
T+ C 3 dX
(59)
3The term (oS3oX)T is always negative and so heat is given off when He
is added to the system (xi 3 gt0) but heat is absorbed during removal of
He3 (~3 lt 0) Since S3 approaches infinity as X decreases to zero the
limit -0 3 00 as X 0 must follow for T =constant However the 3
total isothermal heat absorption per mole of He originally in solution
when going from the concentration Xi to X f given by
l X oS i - Xi r f X (_3) dX
bQno = T x ) j X 1 - X oX T 1
1 (60)
has a finite value for X 0 This is so because S3 increases only asf
-23X for X o
Cooling may als 0 be accomplished by adding pure He4 to a dilute 4
solution through a superleak If the incoming He is at the same tempershy
ature as the dilute solution then the process also would be reversible
In the reversible cc-se the heat absorbed is also given by (52) but with S3
replaced by S 4 0 and n3 replaced by n bull From the system entropy in (56)4
the derivative becomes
36
(61)
which then leads to a heat absorption rate of
bull 2 r (deg53) dT ]Qn 4 = - X l oX + C 3 dX
T (62)
Even though (62) is always less than (59) n is not limited by a pumping
4 rate and therefore can be made much larger than rl Hence Q could be
34
made larger in this second case where He is added to the solution comshy3
pared with the case where He is removed from the solution However 4
in practice the incoming He will always be at a temperature T which is 1
higher than T This reduces the refrigeration rate to
(63)
4where the last term in brackets represents the heat load in cooling the He
3from T to T The total heat absorbed per mole of He in solution when
1
going from the concentration Xi to X at T = constant is thenf
~Qn3 = T[5 (X T) - 5 (X T)] - [(Xi - Xf)X X ] [H deg(T ) - H deg(T)] bull3 f 3 i i f 4 i 4
(64)
For Ti = T this expression approaches infinity as X goes to zero Forf
X laquoXi the last term in (64) becomes (1X )[H deg(T ) - H deg(T)]f f 4 i 4
4 Results and Discussion 3 4
4 1 Properties of He in Liquid He 3 4
The entropy of He in He calculated from (19) is shown in
figure 7 as a function of temperature for various values of X The
37
50 M gt1
40
TO Q)
0
I~ 30 0 E en Q)
J 0
J
gtshya 200 a r z w
pure He3
o 01 02 03 04 T oK
3Figure 7 The Entropy of He in Liqui~He 4
as a Function of Temperature for Various He Concentrations
38
3 entropy of pure He is also shown for comparison All the properties of
4 3He 3in He are listed as per mole of He Of special interest is the entropy
for X = O 064 in the low temperature limit which is given as 53 = 107 2 T
joules deg-1 mole -1 This expression is good to within 1 percent for temshy
peratures up to about 004degK For those interested in more precise
values 53 is listed in Table 7 of Appendix D along with values of (05 oXT3
-4for temperatures below 1 5degK and X between 10 and 03 The horizontal
line drawn in the columns for X gt O 064 indicates the location of the solushy
bility curve The only uncertainty in 53 comes from the specific heat The
weakly interacting Fermi-Dirac gas model fits the measured specific heat
to within experimental error thus the experimental uncertainty of about
1 - - 2 percent is all that carries over to the calculated specific heat and
entropy The ideal Fermi-Dirac gas chemical potential IJ is listed inf
Table 8 since it may be useful for certain calculations
The enthalpy H3 from (20) is shown in figure 8 and also compared
with H3 0 Again more precise values are listed in Table 9 of Appendix D
It is evident from figure 8 that (oH oXT changes sign at about 02degK and3
that H3 for X lt O 064 becomes less than H3 deg for temperatures below O IOK
The effect of these two occurrences on the dilution refrigerator will be disshy
cussed in section 43 The enthalpy values contain an additional uncertainty
not found in the specific heat and entropy namely the uncertainty in
1-l3 r It can be speculated that the resulting uncertainty in H3 for high
temperatures will never be larger than the order of 5 percent The
greatest uncertainty will be for lar ge concentrations For concentrations
much less than 64 percent the error in H3 should be less than about
02 joulesmole at all temperatures On and very near the solubility
curve H3 will be nearly as accurate as the specific heat and entropy
The osmotic pressure has been evaluated from (24) The results
are shown in figure 9 and listed in Table 10 of Appendix D Table 10
39
8
Hi 0 57
~~------~------~~------~------~------~------~--------~----~
6 0 E shyen CI)
J 0
-)
4 gtshya J ltt J t-Z lampJ
2
o
Figure 8
01 02 T oK
03
The Enthalpy of He3
in Liqui~ He4
as a Function of Temperature for Various He Concentrations
04
40
-2
--------------------
IOOO
r----~~--r_~~~~~~----~--_r--r_r_~~~------r_--r__r~~_
IOO
J--
A
V~~~
-~
~
IDE
AL
FE
RM
I-D
IRA
C G
AS
X
=0
64
_
---
X=
0
64
10
X
=O
shy 0 ~
X=
OI
~
01
01
laquo
I
001
1
0
Fig
ure
9
01
01
T o
K
3 4
Th
e O
smo
tic P
ressu
re o
f H
e in
Liq
uid
He
as
a F
un
cti
on
of
Tem
pera
ture
fo
r V
ari
ou
s H
e3
Co
ncen
trati
on
s
also lists values for the expression -[ IJ4(X T) -1l O(T=O)] The fountain4
pressure Pf is shown in figure 9 for comparison with the osmotic pressure
The dashed line in the figure represents the osmotic pressure of a 64 3
percent solution if the He is treated as an ideal or non-interacting Fermishy
Dirac gas In that case IT is given as ITv = 23 U where U is the internalf f
energy of the ideal Fermi-Dirac gas It is evident that even weak intershy
actions can change the osmotic pressure considerably The limiting
values of IT at low temperatures are strongly dependent on the shape of
the (-1J r - L deg)R curve below X = 0064 andconsequently contain fairly3 3
large uncertainties perhaps the order of 10 percent Measurements of
the osmotic pressure for temperatures somewhat les s than T f would then
be extremely useful in determining the exact behavior of 1l3 I and the intershy
actions The classical expression [3] for the osmotic pressure
E TI V 4 = - RT tn(l - X) - iJ 4
(65)
4where 1l E is the excess chemical potential of He in the liquid solution
4 has been used in the past [3] for high temperatures The term 1l E conshy
4 tributes only a very small part to IT at these temperatures and thus IT
is nearly proportional to T For temperatures less than the order of
T f quantum effects come into play and prevent IT from going to zero at
T = OOK It is instructive to compare the calculated values of IT with exshy
perimental results at temperatures of O 8degK and above The comparison E
is most effective if 114 is observed instead of IIbecause any differences
in IT would be greatly magnified in 1lE
bull Figure 10 shows values of 1lER
4 4 calculated by (65) from the theoretical results for II V 4 The dashed lines
give two typical experimental values [ 3 24] for a temperature of 08 degK
The lack of agreement indicates more experimental results are needed
before any conclusion can be made about the reliability of the calculated
42
005~------------~------------~-------------------------------------------------------------------~
004
003
002
001
T 0 OK
-001
10
04
Data of London et of (T 08 OK)
o -=-- - 02
01
o 001 002 003
4Figure 10 Behavior of the Excess He Chemical Potential as Deduced
from the Osmotic Pressure of He 3 in He4 bull
43
II although the uncertainty in II is approximately an order of magnitude
less than that of 1-14 E R
3 44 2 Properties of the Total He - He Solution
Tables 11 through 13 of Appendix D list the specific heat entropy 3 4
enthalpy and excess enthalpy for the total He - He solution These 3
results are listed as per mole of solution instead of per mole of He as
in the previous section Figure 11 compares the values of HE calculated
from (31) with experimental results Lll 26] In general the agreement
is very good except for high temperatures and concentrations which is
to be expected from the model used here It is interesting to note that
HE becomes negative for temperatures les s than about O 15deg K This
inversion temperature is shown as a function of X in figure 16 (p 55)
denoted as curve ll Below this temperature heating rather than coolshy3 4
ing occurs when pure He and He are mixed together to form a solution
This result of course has no bearing on the dilution refrigerator since
in that case it is not the pure components which are mixed together The
reverse process separating a mixture into its two pure components
does produce some refrigeration and will be discussed in detail in section
43
3 4The vapor pressure of the He - He solutions as derived from
(32) are shown in figure 12 and listed in Table 14 The results in
figure 12 show the ratio PP3deg so that curves for several temperatures
can be included on one graph Again there is good agreement with exshy
perimental results L27] The experimental curve shown for O 4degK was
taken as the vapor pressure of the concentrated phase given approxishy
mately by P = Xu P3deg The vapor composition used in the calculation of
P is listed in Table 15 Fortunately X is not very sensitive to WR for v
X larger than about O 5 v
44
Q)-o E
fh Q)
l o ~
--------- T =OOK
-Ol~~--~~--~~--~--~~--~~--~~--~~~~~
08
06
04
02
o
I et 0 I
--0--de Bruyn Ouboter I 115degK
rJ Sommers et 0 I T = 102deg K II
- This Work I I
I I
I I
I cent I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I l
~~~___________ a
02
o 005 010 015 x
3 4Figure 11 The Excess Enthalpy of He - He Solutions as a Function
of He 3 Concentration for Various Temperatures
45
10 r------__--------------------
08
OS
o~ a
0
OA
010
O8degK 005 02
r 0 o 001 Q02
o 01 02 03
This Work
--- Experimentol
fill 015
x 3 4
Figure 12 The Vapor Pressure of He - He Solutions Divided by the Vapor Pres sure of Pure He 3 as a Function of He 3
Concentration for Various TeITlperatures
46
The differential heat of vaporization A is derived from (35) and vt
the term A E vt which represents the deviation from the ideal differential
heat of vaporization is plotted as a function of X in figure 13 The dash-v
ed part of the curves are in the region of X gt 03 and so represent intershy
polations The as sumption was made previously that the solutions could be
treated by regular solution theory to find X from a given value of X at the v
temperature T The relationship between X and X is therefore subjectedv
to some uncertainty especially for X less than about O 5 The term E v
A II from (35) uses both X and X which would appear to cause an unshyv~ v
Ecertainty in A However the term ~ in (35) is very nearly linear in
vt E
X which results in A being practically independent of X Thus for a vt
given value of X the uncertainty-in AE is nearly removed The directII
v ~ E experimental results of Sommers [28] and results deduced from H
data [11] are also shown in figure 13 for comparison
3 44 3 Applications to the He - He Dilution Refrigerator
The enthalpy H3 (X T) and entropy S3 (X T) along the lower t t
solubility curve are listed in Table 16 The maximum heat absorption
rate Q(T T)~3 calculated from (36) is also listed and applies to the case 3
where only pure He is circulated Plots of H3 (Xt T) H3 deg (T) and
Q(T T)~3 are given in figures l4a and 14b For temperatures less
than about O 04degK the expressions
Q(T T)n3 = 82 T2 joulesmole He 3 (66) I
fit the results within 1 percent These numbers are somewhat smaller
than those given previously by this author [ 29] since the binding energy
E was changed to fit the latest results [9] on the solubility curve The o experimental behavior of Q(T T)n is (83 plusmn 4) T2 joulesmole He 3
3
47
o -I
-2
-3cu
0 E
en
-4
cu
J
0 J -5
~
-t0
0
111
gt
lt
-6
-7
-s
-9 I
I I
I I
I
I
I I
I
a 0
1 0
2 0
3 0
4 0
5 0
6 0
7 O
S 0
9 1
0
I E
xper
imen
tal
I
Xv
Fig
ure
13
T
he D
ev
iati
on
fro
m t
he I
deal
Dif
fere
nti
al
Heat
of
Vap
ori
zati
on
of
He
3 -
He
4 S
olu
tio
ns
5
Q)
o E (J) 2 Q)
J o J
1 f 1( ~
IJ I I
IV J J
j I IJ
J
IV I H3 (Xl T) 1 I
~ I OfT T) 113 V I
L1 I J
IX J H3O(T)II I
I J II IJ
1 I IJ I I I(
II I JIfj I
1 V III V
J
2
2 5 2 5
Figure 14a Plots of H (X T) H (T) and O(T T)~ 3 =H (X T3 t 3 3 t
- H3 0 (T) for Low Temperatures
49
10
5
2
~lcP o E
fI) Q) 5 J o
J
gt-~
Q 2 -J lt c t- _I 210 W
5
2
-210 10 2 5 101 2 5 10deg 2
J II-2
I III i
IJ i V
II Ifj
H3 (X T)
J
JJ
~ h
JV W
JV
II rl
J I(
V 1
J
rj
J V
L
~
V~ ~ I
J
II
~ I ih ~I
J V Ill
W II j V
J LI 1 f
IJI( Jt Q(TT) h3 j
V )
(HffTJ
I 1
I 1
I JI
1
I
I
T oK
Figure 14b Plots of H3 (Xt T) H3 (T) and a(T T)~ 3 for High
TeITIperatures
50
3Peshkov [ 10] gave the value 100 T2 joulesmole He from his calculations
using X = 005 as the limiting solubility The same result would be
reached in the present work by considering a 5 percent solution Vilches 2
and Wheatley [5] also derlved the value 82 T but 59 percent was used
as the limiting solubility The uncertainty of the present results beshy
tween O 004degK and O 2degK for H 3
(X-f T) and Q(T T)~ 3 are estimated to
be about 2 percent judging from the experimental uncertainties in C 3
C3
0 and the solubility curve Above O 2degK the accuracy may not be
quite as good
For temperatures less than about O OlooK considerable uncershy
tainty exists in C deg According to Balian and Fredkin [30] the limiting3
temperature dependence of C deg should have the form C oT = 3 3
A [-fn(BT)] 12 The experimental results [31] below O OlooK neither
confirm nor deny this temperature dependence If this form is correct
then at sufficiently low temperatures Q(T T)ri would become zero though3
-6 temperatures less than 10 oK would probably be required A more
recent theory [32] shows that C degT approaches a constant value at3
3T = OOK A transition of He to a superfluid phase in either the pure or
dilute liquid would also alter the present analysis below the transition
temperature However neither of these effects should change the presshy
ent calculations at O 004 0 K and above
It is obvious from the curves in figures l4a and 14b that the 3
incoming pure He can be at a much higher temperature than the outgoing 3
dilute He and still provide refrigeration It can be deduced from (66)
that for temperatures less than about O 04degK the refrigeration power
goes to zero when (T T) = O 36 where T is the temperature of m 1 Q=O m
the mixer More exact values of this ratio are given in Table 16 and
are slightly dependent on T bull For small residual heat leaJlts the limiting m
temperature of the mixer is thus determined solely by the inlet
51
3 temperature of the pure He For example if the residual heat leak is
5about 1 ergmin or less for a circulation rate of about 2 x 10- moles
sec then the mixer will reach O 005degK for an inlet temperature of
0014degK Unfortunately heat transfer at these low temperatures beshy
comes very poor and it looks as though considerable research on heat
exchanger properties and design are required to reduce the temperature 3
of the incoming He to this low value
4 3Any He in the incoming He stream will reduce the refrigeration
effect as given by (41) for temperatures below about 02degK For temshy4
peratures of O 040 0 K and below the influence of He is easily evaluated
since H (Xf T) and H deg(T ) can be represented as in (66) Figure 153 3 i
3shows how the concentration of He in the circulated gas stream can
affect the refrigeration capacity in the mixer The figure shows plots of 2 2
(QT m)X obtained from (41) normalized by the quantity (QT m )X= 1
for various values of the ratio T T Values of T T near 1 0 can m 1 m 1
only be achieved with nearly perfect heat exchangers something quite
difficult at very low temperatures If it is assumed that the presence 4
of He has no effect on the heat exchange properties then T and T 1 m
will remain the same for all X and the curves will then show the ratio
(Q)X(Q)X=l The dashed line in this figure represents the reduction in
refrigeration capacity which would be due only to a reduced amount of 3
He bull Obviously this curve is quite different than the more exact curves
especially for low values of T T Most of this difference is due to m 1
the fact that some dilute phase with its very high heat capacity must be 4
cooled from T to T whenever He is present in the incoming stream 1 m
From the curves shown in figure 15 it is easy to see the importance of 4
eliminating He from the gas stream particularly at low temperatures
where T T will be low and near its ultimate value The other curve m 1 3
in figure 15 shows how the ratio (T T)Q 0 varies with the He m 1 =
52
01
V
J
IDmiddot
bull
08
06
04
02 o
02
0
4 0
6 0
8 1
0 x
Fig
ure
15
Th
e R
ati
o o
f M
ixer
Tem
pera
ture
to
In
let
Tem
pera
ture
fo
r Z
ero
Po
wer
Inp
ut
an
d t
he R
ati
o Q
T2
as
a F
un
cti
on
of
He
3 C
on
cen
trati
on
in
th
e C
ircu
late
d G
as
m
4concentration in the gas stream The effect of He on this ratio is
fairly small for less than about 50 percent He4
It will now be shown that the fractional change in T itself is m
only slightly larger than the fractional change in the ratio (T IT)a-om 1 -
This fact can only be found from an analysis of the heat exchanger A
system of several individual heat exchangers of the type used by Vilches
and Wheatley L4] will be assumed but only the lowest temperature heat
exchanger will need to be analyzed In the ideal case both the dilute and
concentrated streams will leave the lower heat exchanger at the same
temperature T The dilute and concentrated streams enter the heat 1
exchanger at the temperature Tm and Tb respectively At low temperashy-1
tures the specific heat of the two streams are C = 107 T joules mole -1 -1 -1 ~4
deg and C = 25 T joules mole ieg bull A heat balance is then made3
0
on the heat exchanger which leads to the condition
2 dT T dT
1 = O 81 (~) m (67)T T T
1 1 m
For T IT = O 36 this becomes dT T = O 11 dT IT Therefore m 1 11m m
T changes very little for a change in T and the fractional change in 1 m
T will be only about 11 percent larger than the fractional change in the m
ratio (TmTi)a=Oat least for (TmTi)a=O near 036 The ratio
(T IT )a decreases by about 7 5 percent when going from X = 075 to m 1 =0
X = 1 0 so T will decrease by about 83 percent for this change in X m
In the case where the two streams do not reach the same temperature in
the heat exchanger the change in T will be slightly less than in the m
ideal case
In figure 16 is shown the locus of points where H3 = H3 0 which 3
is designated the inversion curve III Diluting the He to any point below
54
05~----~------~----------------------
004
10
05 ------------------ o
006
002
PHASE SEPARATION
REGION
008
15 r---------------
04
03
o t shy
02
01
o
3 4Figure 16 Enthalpy Inversion Curves for He - He Solutions The
inset shows the high temperature end of the curve I
55
x
this curve without doing work results in a heating effect whereas above
this curve a cooling effect takes place This inversion curve I given by
(oH oX) = 0 is also shown in the same figure Below this curve the maxishy3
3 mum cooling effect is achieved by diluting the He no farther than the s olushy
3bility curve Above it maximum cooling occurs when the He is diluted as
much as possible but still remains above the curve 1 To prevent a loss
of refrigeration at temperatures below inversion curve I requires the 3
mixer to have a very small impedance for the flow of He so that dilution
below the solubility curve can not take place The technique of bringing
about extra dilution above curve I is discussed later The curve II in
figure 16 was mentioned in section 4 2 but for completenes s is restated 3 4
here Mixing pure He and pure He such that the resultant solution is at
a point below curve II results in heating whereas cooling results for a
point above curve II
The concentration in the dilute stream between mixer and still is
shown in figure 17 for various mixer temperatures These concentrashy
tions are for constant ~4 The specific heat C~4 of th~ He3
in the dilute
stream is shown in figure 18 also given for various mixer temperatures
For a mixer temperature of OOK the specific heat becomes C~4 = 1072 T
joules mole -1 deg -1 in the low temperature limit which is the same as
C for X = O 064 The classical value of 52 R would hold at high tempershy3
atures if the process was at constant IT instead of constant ~4 Values of
C~4 are useful in the design of heat exchangers and so are listed in Table
17 along with X and 8 for constant ~4 for several mixer temperatures3
The vapor pressure of the solution in the still is plotted in figure
19 as a function of still temperature with the mixer temperature as a
parameter The heat of vaporization of the liquid in the still and the
vapor composition (neglecting film flow) are both shown in figure 20
56
08
06
~
o
tshy~
04
02
PH
AS
E S
EP
AR
AT
ION
R
EG
ION
o 0
02
0
04
0
06
0
08
0
10
012
X
F
igu
re 1
7
Co
ncen
trati
on
Pro
file
s f
or
Co
nst
an
t J
4
TABLE 9
THE ENTHALIIY OF HE3 N HE4
H3 (JMOLE)
~ 00001 00002 00005 00010 00020 00030 00040 00050 00060 00080
ClO
0000 -210606 -208000 -202153 -194785 -1083391 -174107 -166024 -15e71 -152114 -140192 0001 0002 0003
-21002 -2~865
-211696
-20719 -206591 -205173
-111943 - 01329 -200368
-94652 -19425 -19361 i
- 83307 -183056 -182640
-174043 -173850 -173531
-16f)971 -1651111 -165547
-1511716 -1511578 -1511349
-52073 -151151 -151748
-140159 -140058 -139889
001l4 -2115134 -203543 -199 146 -192742 -82066 -173087 -165178 -158030 -151464 -139654
0006 -211285 -199965 -96198 -190460 -180476 -171839 -164 135 -157124 -150658 -13e9A4 0008 0010 0012 0014
-1Q7317 -1Q3291 -1J1923j -1R515ii
-196171 -192268 -188302 -18494
-192854 -189284 -85576 -181775
-18767Q -18456 -08122 -177727
-1711385 -175903 -73125 -170120
-170151 -168084 -165706 -163074
-162706 -160928 -158844 -156500
-15876 -154308 -15449 -150333
-149543 -148134 -146451 -144521
-138053 -1middot36870 -1035445 -133793
0016 -1A1054 -1110258 -177910 -1741111 -166940 -160235 -153937 -147995 -142368 -1031931 0018 0020 0075 0030
-1769411 -172834 -11I252 -1I219i
-176202 -172130 -161905 -151636
-173997 -170048 -160065 -149977
-170425 -16666 -157065 -147267
-163624 -160200 -151286 -142023
-157229 -1540 86 -145774 -136993
-151190 -148287 -140001 -132158
-140465 - 104279 -130448 -127500
-140022 -137504 -30596 -1n009
-129877 -127650 -121438 -114483
0035 -141850 -141340 -139823 -137341 -132528 -127894 -123424 -11QI05 -114927 -106962 0040 -141497 -131025 -129623 -1273211 -122869 -1111567 -114406 -110379 -106475 -09900 0015 -11l3 -120697 -19391 -117251 -113091 -109070 -105177 -101 401 -097736 -090711 0050 -110771 -110359 -109134 -107127 -103222 -099445 -095783 -0922211 -088774 -082144 000 -090029 -089661 -~8E1568 -0877 -083287 -079910 -07633 -07~448 -070349 -064389
0070 -09278 -068944 -067953 -066329 -063168 -060108 -057138 -054251 -051440 -046030 OOAO -049520 -048214 -047305 -045817 -0middot42923 -040122 -03 7404 -034762 -032190 -027241 0090 0100 0120
-0~7757 -Oii699i 04540
-027474 -006727
034782
-026634 -005945
035470
-025259 -004666
036595
-022586 -002182
038774
-020002 000218 04n874
-017496 002543 042905
-015061 004801 044874
-012691 (11)6991 046186
-001133 011218 050452
0140 076096 076304 076921 0779lt5 079866 081731 083531 08S273 086960 0Q0186 0160 01110
11 764shy159203
117837 159376
1 8394 59884
119301 1060711
121050 162300
122725 1631117
124338 165274
12158Q4 16676
127398 16A028
130266 170595
0200 2n0761 200920 201387 02145 203599 204983 206307 207578 208800 211112 0250 314663 304795 305182 305807 306996 308117 309182 310196 11l63 312972
0300 4n8571 408684 409012 409538 410531 411459 412331 413154 413932 415367 0350 0400 0450 0500
512485 6640[170]2n 8lt4240
512582 616486 720394 824305
512864 616730 720608 824493
h13313 6171111 720944 1124786
514154 617836 721561 825317
514Q31 618491 722115 1125785
515653 61 9093 722616 82c201
51328 619647 723070 826571
516Q58 1120157 723482 826899
51100 621deg3 724191 A27441
0550 928161 928lt19 928384 Q28641 929097 929491 929834 930131 930387 930786 0600 0650 0700 0750
1O~2084 1146007 12993 1343854
1032135 1136052 1239970 1343890
1032280 1136180 12 40084 143989
103t504 1136375 1240253 1344136
1032895 1136710 1240536 1344373
1033226 1136983 1240760 1344551
1033505 1131206 1240932 1344679
O33738 1137384 1241060 1344761
1033931 1137520 12411 47 1344804
1034205 1137684 1241212 1344781
01100 1447779 1447810 1447897 144AG23 1448219 1448356 1448443 14411485 14411487 1448383 0850 151704 1551731 1551807 1551914 1552073 1552112 1552221 155226 1552192 1552015 0900 1605629 1655653 1655718 16558011 1655932 Hbullbull 55997 1656012 165119114 1655915 1655672 0950 1000
17955 18f3480
1759576 1863498
1759631 1863545
1759705 U63604
1759797 1863667
1759831 1863672
1759815 11163627
1759755 18 63538
17t0655 lR63410
1759351 11163048
11(10 2071333 2071345 2071376 2071409 2071419 2071372 2071275 2071135 2070955 2070492 1200 1300
l7918 lt4A7030
2279194 2487043
2[179211 2487048
2279220 2487037
2gt791115 24F16962
2279092 2486828
2278950 248c646
22711764 2486421
2278540 2486157
2271Q88 2485527
1400 1500
69489 29n2747
2694893 2902744
2694887 2902728
26948511 2902683
2694747 2902540
2694578 2902338
2694360 2902089
2694100 290796
2693801 2901466
2693100 2900702
Page 101
TABLE 9 laquoCONTINUED)
HJ IJMOLE)
T~X 001011 1)0150 00200 00250 00300 00350 00400 00411i0 00500 005-0
flO
0000 -19~4 -107331 -088986 -073383 -059844 -047941 -037382 -027953 -019495 -011881 0001 -19612 -101308 -n88967 -il73367 -059~30 -047928 -037370 -027942 -019484 -011871 0002 00113
-19524 -19H9
-107lt41 -10729
-n88912 -ii88~118
-07331t -073238
-059786 -059715
-047889 -047824
-037334 -037274
-027908 -027853
-laquo)19453 -1119401
-0l1i4i -011793
001)4 -1gt9175 -106972 -ii88688 -073125 -059614 -047733 -03790 -027775 -019328 -011724
0006 -118590 -06525 -088317 -072802 -059327 -047472 -036951 -027553 -019120 -0011528 0008 0010 0012
-17787 -1gt757 -1gt5516
-105902 -105103 -104133
-ii87797 -~ 8732-086321
-1172352 -071 774 -071069
-058925 -0011410 -057782
-047108 -046640 -046070
-036616 -036186 -03MI
-027241 -02842 -026354
-018828 -1118454 -017998
-Ol1254 -010901 -010470
0014 -1gt057 -102994 -ii853611 -070239 -057041 -045397 -035041 -025779 -617458 -009962
0016 -1gt2409 -11)1692 -084274 -069286 -056189 -044622 -034329 -025116 -016837 -009377 0018 0020
-1105711 -118076
-100233 -098622
-083043 ii81678
-068210 -067015
-055227 -054157
-043747 -04gt773
-033523 -03224
-024366 -02J530
-1116135 -1115351
-0oa74 -007975
0025 -1 i2920 -093983 -071710 -063522 -051018 -039910 -029982 -021069 -013042 -000796 0030 -1n650 -088571 -073012 -059300 -047248 -036458 -026788 -018089 -010242 -003150
0035 -099117(1 -1182512 -067670 -054559 -042891 -032450 -023067 -014609 -006967 -000052 00110 0045 0000 0060
-091956 -0114059 -075852 00872
-075911 -068859 -061431 -0 45675
-ij61772 -ii55396 -~48607 -034016
-1149215 -laquo)43385 -0371ZA -023534
-nn996 -0J2617 -0gt6806 -014069
-027925 -022924 -017492 -005500
-0lBe51 -014172 -009067
002274
-010654 -006252 -0oi432
009334
-11113237 ) 00926 005497 015751
003484 0middot07438 011798 02584
0070 -0088) -029007 -018365 -00877A -1)00107 007758 01 4901 021 397 027304 032674 0080 0090 0100
-02252~ -113795
0i531
-011660 0116205 024471
-iin1911 ~15164 032732
006877 023239 0 40115
014828 030538 046875
022039 037151 052942
0 28589 043150 05tl433
034543 0411596 063405
1)39956 1153538 067904
044873 0511018 071971
0120 039Z7 061A96 ii6lS982 n75317 080999 086108 0911702 094829 0911530 101h2
0140 0)3234 100181 106307 111741 116570 120867 124693 128092 131101 13-754 0160 0180
1296 172999
139068 178394
44396 183046
149071 1amp7073
103119 90563
156791 193580
159955 196178
162720 1911393
165125 gt00265
167198 201826
0200 23265 2181153 22123 225592 228543 2JI042 -33139 234875 236282 237388 0250 34630 318gt16 321128 323479 325350 J26801 327P81 328629 -29077 329253
0300 46656 419342 421383 422889 423937 424588 424888 424875 424579 424028 0300 0400 0450
59101 6183)74760
521081 623239 725697
522437 1124037 726031
523275 6211333 125873
523673 624200 125296
523689 623695 724357
523367 622864 723099
52745 62i743 721 558
521854 120361 719763
520718 618743 717740
0500 8785) 828379 1128319 A27775 1126820 820510 1123888 821988 A19841 II 17470
0500 9 on 054 931234 930834 929956 928675 927043 92105 92gt895 920442 917769 0600 104349 lO34225 lii33527 1032358 1030790 102A877 1026662 1024180 1021457 101819 0650 0700
117718 12411 49
1137325 240516
1136364 1gt39320
113493A 1237663
1133116 1gt35615
1130954 1233231
1128494 1230551
1120769 122760
1122809 1gt24436
1119636 li21052
0750 1344630 1343781 1342374 IJ4(1510 1338258 133t673 1332796 1329660 n26294 132-720
0800 1448153 1447109 1445511 1443459 1441022 14311255 1435199 14 31 887 1428346 1424599 0850 0900 0950 1000
155171- 165530 ]7lt8921 181I256
1550491 1653918 175786 IIloOIl88
1548718 151986 1755307 1858673
154495 1149606 1752782 11156015
1543890 1646847 1149881 11152982
1540957 H bullbull 43762 1741656 1849627
1537737 1640392 1743148 lIh4S992
1534264 163770 1739389 18 4Z107
1530563 1$32924 1735408 11138001
1526660 1628876 1731227 1833697
1100 20990 2()67982 21)65523 2062625 2059356 2055769 2051904 2047793 21)43463 2038937 1200 227731 2275173 2272501 2269394 Zi65919 2262129 2258063 2253754 2249229 224451)9 1300 1400 1500
4A4774 2692278 2899AIA
2482443 2689776 2897163
2479583 2686749 21193985
2476290 28329 2A90379
2472634 2679473 211S6415
2468664 267t343 2AB2141
2464421 2670942 2877598
245q937 2666302 28728 18
2455239 2661449 2867826
24511347 2656405 2862644
Page 102
TABL 9 (CONTINUEO)
H3 IJMOLE)
T~middot 006(1) 00640 00650 00700 00750 00800 00900 OOOO Oll 00 Oll00
00
0000 00t1 0(1)2 00(13 0004
-0rS013 -00004 -04971 -0(4931) -0~4116C
1)00000 000009 0(01)360)1)080 000143
001191 ~01200 iiOlntgt ii01270 iiOl3n
006799 006A07 1)068llt 00687lt 006934
011867 011875 011899 011939 011996
016443 01451 016474 016513 016567
0l42Al 024289 024 ]10 024346 024397
0305M 0lri591 0]06 11 03Q645 030693
035561 035567 1)35587 035619 1)35663
039377 039383 039402 039432 039474
001)6 oOos OOH 00tgt 0014
-01I467Q -0~4410 -O408C -03677 -0319r
000321 000571 000R92 001284 101747
1101)1509 ~01756 01)2074 00243 ii02921
1)07103 007330 0(764)oollon I)OR451
012158 o123A4 012675 013031 013451
016n3 016941 017220 017562 017965
024542 024744 025004 0l5322 025698
0308211 031018 03i262 03j560 031 9 12
035791 035970 031201 036482 036814
039596 039766 039984 040251 040566
0011 0018 0020 0025 0030
-0l264 -02012 -01311
l)ii0756 03(61
002280 002884 003558 005546 007962
003449 004047 004715 ii(l6684 009078
008951 00952F 0101Alt 0120411 (I1 433S
013934 014482 015094 016899 019096
018430 0111957 019545 0212Bl 023394
026130 026620 027168 028 784 030753
032318 03~778 0332(11 034808 036656
037197 037631 n]A1l5 0]9547 041293
040929 041341 041800 043160 044816
003S 0040 0045 00ltgt0 001l0
0116217 O~977 0i314f n17O~ 0gt6A8~
010797 014039 017675 Oc1688 030770
0118B7 nl)101 ~ ii2c68S ii31695
017027 O2010~ n23563 n273l1 036051
021677 024635 127960 031639 040003
025A79 (I2A728 031932 035481 04)563
033070 035729 0311723 0 42044 049628
038830 04i331 044148 047276 054434
0middot43349 045712 0411377 051339 058127
046769 049014 051547 054364 060829
0070 00110 0090 01(10 O po
O~7551
04933 0 2074 1)763Q 1-479
041129 052600 065036 078307 106Q20
041979 n53375 n65738 078938 l07418
045981 057026 069037 08194 109732
049606 060314 071995 iIA4531 111759
052864 063163 074636 0136867 113516
058390 068230 0711040 0010714 116286
062729 072077 0823A6 09)559 11A152
066015 0 74927 n84787 095508 1101208
068356 076882 086337 096647 119529
0140 0160 OlAO 0200 OSO
136077 IAA96~ 230911 28221 3gt9170
137717 17075 203926 238705 328956
138 097 170451 204107 38BOl )28878
191133 171671 0048601 23914Q 32113lt
141306 172649 205401 239279 327647
142532 173396 20717 2301206 3lt6748
144303 174256 205754 2311497 324447
1415247 174350 205072
~21 54 1
145449 1 73756 203744 235109 318094
144919 172539 201834 232559 314159
0300 43242 422460 422243 421046 419666 41A115 41 4547 4104 14 405781 400702 0350 0400 0450 0500
519350 fIii691ii 715508 11489
518125 615303 713585 812702
r17797 1S14882 713086 A12136
S16047 612673 710489 A)9206
014123 610297 707731 A06120
512038 607767 70_11124 A02888
507427 602286 698604 196030
5002118 596302 691899 7BA703
496684 1)139873 614767 780964
490659 583048 617251 772858
0550 0600 060 0700 0750
0Il4891 10i538f 11627 12i747A 13A951lt1
912468 1012750 1113450 1214494 1315A26
911844 1~12074 1i12728 1213731 131502
908624 1008599 1109027 1209821 110937
905251 1004974 1105177 1205775 106704
901736 100110 1101191 1201590 1300340
1194323 993305
1092849 1192857 1293251
886452 984954
1084070 1183692 1283739
R71n80 h76211
1074907 1174152 1273857
16955] 967U3
10615406 1164280 1263649
OIlOO 14gt0667 1417399 1416566 1412310 1407913 1403384 1393974 1384145 1373952 1363438 0850 Ogeo 0900 1000
)5gt2571 1624645 176864 18gt9212
1519181 1621140 1723gt55 1825506
1518317 1620248 1722337 1824564
15139)A 1~15700 1711660 11119767
1509360 1611013 1712845 1814834
1504682 1606198 1707903 lA09774
1494976 1596221 1697616 1799316
1484858 158r836 1687045 I18A457
1474]80 1575096 1676063 1777250
1463586 1564044 1664173 1765739
1100 1200 13eo 1400 1500
2034233 223911 lt445B 2C1l8A 1lr729lt
2030)54 2235582 ~441117 2646903 2852R98
21)29368 2234559 2440060 2645816 2A517e4
2024357 22293501 2434693 2 40301 2A46136
2019210 2224026 2429196 2634656 21140358
2013940 221111570 2423577 26211~91 2B34462
2003064 2201330 2412013 261 7039 21322350
199195 2195702 2400061 26048014 28Oq863
lQe0185 2183737 2187789 292250 21Cl7052
1968276 2171479 2375222 2579406 2783959
Page 103
TA~LF 9 (CONTINUED)
H3 (JMOLEI
TI 01301) 01400 01500 01600 01800 02000 02250 02500 02750 OlOOO
(KI
0000 042167 044040 045089 045391 044012 0 4 (1334 033005 023100 011009 -002960 Ooni 000 0on3 0004
042173 04219 042219 042259
0441)46 0441162 0441190 044129
1)45094 n45110 1)45137 n4S174
1)453911 n45411 045417 1)454n
044016 044031 044054 0440R8
04n]38 040352 040374 040405
0l3009 033021 033042 033071
02104 024116 024136 0211(3
1111013 (loll 024 011043 011 069
-n029i6 -00gt945 -00292A -002903
0006 0008 0010 0012 0014
042370 042537 042745 04gt999 043299
044gt39 044394 044093 044836 045123
n4)2Ao n45428 045619 0451152 046128
045575 04lt77 0459n (104(1204(391)
044183 044316 044487 044696 044943
040495 040620 ()40781 040977 04)gt09
03355 n3372 n33422 033605 0331122
02242 023351 021493 02)665 02869
1)11143 011247 01138 1 011544 011737
-nOtl32 -00gt7]3 -00~606 -002451 -00gt267
0016 043645 045454 046446 046696 045228 041477 03+072 024104 011960 -002055 0018 0440311 045829 046805 047042 045SH n41781 034355 024370 012212 -0018tl 0020 0444710 046248 n47208 n47429 045912 042120 0341011 0246611 012494 -001547 0025 0030
1)45771 n4735)
047487 048999
1148397 1)491147
0411573 1)49970
046979 048281
041122 044347
035607 036750
025549 026624
(I 13327 014346
-000753 000216
0035 049212 050780 )51558 1)51616 049A18 045791 038099 027894 015548 00360 0040 0045Ooso (IOM
051354 00371 1 00(461 010264
0521130 05gt145 057723 n63(48
0S3S26 0)5750 058226 063923
1153511 055653 0511039 063530
051586 0middot53586 055815 060950
047454 049336 0H433 056269
03653 041411 043371 047A94
029356 031011 03857 037119
016933 0111501 1120251 024290
002679 004172 005839 009687
0070 069F47 070168 1170585 069957 066968 061943 053207 04212F1 029041 0014216 0010 078026 078434 0711168 077283 073842 06A433 059291 047871 034493 019415 0090 0100
0~710(171)5gt
087192 096785
1186625 095902
0A5464 094451
081536 090009
070710 0113741
1)66125 073681
054330 06l4
040629 n47433
025272 031772
0120 11QI8) 118gt19 116693 114644 109124 101915 090838 077764 062954 046625
0140 143894 14247 140080 13743 130821 1226415 1111501 096493 oFlOMl 063805 0160 0180 0200
170754 199)Q 2-9lt011
168447 196463 225998
165659 193085 22066
16t420 189290 211741
)04740 1 11 0565 208026
145599 170482 1 Q7035
132381 156204 1081727
117422 1402H 164890
100942 122966 146715
083126 104379 127362
0250 3977Q 304994 099835 [194331 [182385 26Ql22 251626 232602 212419 191220
0300 395219 389369 383182 376684 62R43 347998 3211217 307253 285263 262316 0350 4114255 477507 470447 463100 447635 431255 409667 387007 63422 339032 0400 5751167 56F1365 060567 552497 535630 517914 494745 470595 445603 4198AO 0450 0500
6Q401 74420
661247 7551191
152RI0 746701
4411A 13746gt
6260S0 718332
61)774 911444
582615 72671
557146 646035
030901 618674
50991 590697
0550 IIl060Fl 851379 A41892 FI3171 812103 791309 764454 736789 708436 679504 0600 957726 948052 938128 9279711 907074 885473 857645 829047 799809 770025 0650 0700
1055604 1154114
1045533 1143684
1035218 1133011
10246A4 1122136
1003030 1099805
980703 107821
Q52001 1047326
92562 1017123
1192511 986337 ~ 955068
07S0 1253153 1242398 1231411 1gt20214 11Q7268 1173687 1143470 111gt571 1081113 1049194
0800 1302640 1341589 1330310 1318826 195318 1271191 1240312 12011175 1176700 1144186 0850 1402512 1441189 1429643 1417895 13Q3R71 n69242 1331755 1305630 1272987 1239923 0900 1502717 1541144 1529351 1517360 149859 1467767 1435719 1403051 13M88 1336310 0950 1000
1603211 173959
1641406 1741940
1629385 1129701
11717 17172A3
59229 1691932
1561708 1666012
153439 1632960
1500967 159939
1467310 1565207
1433265 1531)7lt2
1100 1906103 1943697 1931083 19182R lR92193 lf16i554 1831627 1197138 P62204 1726921 1200 13GO
215896 gt3 24011
2146211 2349353
2133268 2336107
2120136 2226A2
2093398 2295368
2066126 2267533
2031428 2232151
1996192 219250
1960534 2159946
1924547 2123331
1400 1500
25 6312 2770619
2552996 2157061
2539484 2143309
2525796 2729384
2497966 2701088
4(9627 2672295
2433632 2(35746
2397135 259R711
gth60251 2061303
2323074 2523616
Page 104
TABLE 10
THE OSMOTIC PRESSURE OF HE3 IN HE AND THE EXPRESSION -[ ~4(X T) -~4 (TwO)]
OSMOTIC PRESSURE bull P OSM -[ ~4(X T) -~4O(T=O)] bull U
)( 00001 X bull 00002 X bull OOOO X bull 00010 X bull 00020
P OS U P 0514 U P OS U P OSM U P OSM U (Kl TORR) IJMOLEI CTORRI CJMOLEI (TORRI CJMOLEI nORRI CJMOLEI CTORRI IJMOL[I
0000 bullbull 810middot00 1783-006 15lmiddotmiddot00l 56middot2middot006 6978-003 2566-00 2181-002 8020-005 6769-002 2bullbullbull9-00 0001 0002
5509-00 7002-00
2026006 2575-006
1620-003 18l-00l
5956-006 6778-006
709l-00l 7 bullbull26-00l
2608-005 2731-00
2196_002 2238002
8073-00 82l1-005
6787-002 681-002
2 bullbull96-00 2516-00
0003 000
880-00 1OA3-003
3250-006 398Z-006
21511-003 2506-003
791l-006 9216-006
79-003 8612-003
2923-005 3167-005
2308_002 2 bullbull0l-002
8bullbull88-005 8836005
6931-002 7056-002
2Imiddot9-00 2 595-00
0006 151)2-003 5SiH-006 3281-003 1208-005 1021-002 l756-005 2650-002 975-005 7bullbull01-002 221-00 0008 0middot0100012
1 93l-003 2371-00l 28lmiddot003
7108-006 8719-006 103-005
middot1l0-003 4959-003 5822-003
1511-005 1823-005 21middot1-005
120l-002 1397-002 1599-002
bullbullbull25-005 5138-005 5879-005
295l-00Z 3292-002 365middot-002
1086-00 10210-004 1middotmiddot00middot
7855-002 8393-002 8996 002
2 888-004 3 086004 3 308-004
001middot 3257middot00l 11 98-00ll 6693-00l 2bullbull61-005 1806-002 6639-005 4034-002 1483-00 9648-002 3548-004
0016 37112-003 1361-005 7571-00l 2784-005 201 6-002 7bullbull12-00 4426_002 1628-00 103-001 3801-004 0018 0020
bullbull 149_00l bullbull596-003
1526_005 1690-005
8 bullbull54_003 9339-00l
3109-005 3434-005
2228-002 2443-002
819-005 8983-005
4828_002 5236_002
1775-00 1925-004
1106-001 1180-001
4066-00 bullbull 3l9-004
0075 0030
5 718_003 681-003
2103_005 2516-005
1156-00Z 1380-002
4252-005 507-005
2986_00Z l534-002 1~g8 6279002
7344_002 2l09-004 2701-004
137-001 1575-001
s051-004 5 191-00
0035 7966-003 2930-005 160-002 5898-005 bullbull 086-002 1503-00 8 bullbull23-002 3097-00 1781-001 65bull 9- 004 000 9093-003 3345-00 1828-002 672-005 bullbull641-002 170700 9511-002 3bullbull97-00 1991-001 320-00 0045 0050
1022-002 1135-00Z
3761-00i 4177-00r
2053-00Z 2278-002
7551-005 8379-005
5197-00Z 575-002
1911-00 2116-00
1061-001 1171-001
3900-00 bullbull305-004
2203-001 2 bullbull17-001
8101-004 8 889-004
0060 13M-002 5011-00- 2728-002 100middot-00middot 6872-002 2528-00 139pound-001 5middot118-00 2850-001 1 048-003
0070 OORO 0090
1586-002 1h2-002 20l8-002
5848-005 6690-005 7537-005
3178-002 3629-002 bullbull 080-002
11 70-004 1l37-00middot 1505-004
799l-002 9116-002 10Z-001
2941-00 3l55-00 3770-00
161 4-001 1837-001 2060-001
59l6-00 657-004 7580-00bull
3287-001 3727-001 168-001
1209-00] 1037 1-003 1533-003
0100 0120
224_fl022715-002
8391-005 1013-00
bullbull5n-002 5435-002
1673-00 2012-00middot
1136-001 1362-001
bullbull 185-004 5021-00
2284_001 2732-001
840500bull 1006-003
4611-001 5500-001
1 696-003 2 02-003
0140 l17-002 119 1-004 6338-002 2357-004 1587-001 5861-004 l18Z-001 10172003 6393-001 2 353- 003 011i1) OlFJO o 00
l619-002
g~~gg~ 1l75-004 1568-004 1712-00
7241-002 815-00~9048-00
2707-004
~2~~8g 1812-001
~~~2ggl 6709-004 756-Og48432-0 4
36l1-001 4g81-oo 1bullbull 1 -001
103middot0-003 lII98-g03 16 7- Ol
7287-001 R18~-gol907 - 0
2 684-003
Ju~gn 0250 5603-002 2345-00 11l1-001 bull bullbullcmiddot-OOmiddot 2 828-001 1066-00l 5658-001 2107-003 1132middot000 41 91-003
Oloo 67~002 3046-00 1357-001 5540-on4 3392-001 1302-003 6785-001 250-003 1357middot000 506-003 0350 0middot00
7914_002 904_002
3932_004 5068_004
1583-001 1809-001
6842-004 8394-004
3957_001 bullbull 521-001
1557_00 1837-003
7913_001 901-001
3012-003 3bullbull99-003
1582000 1807middot000
5 920-003 6820-003
0450 0501)
1017-001 1110-001
653l_004 8412-00
20l5-001 2Z61-001
1027-003 12gt7-003
5g86-001 5 51-001
219-003 2503-00l
10P00O 1130000
4018-003 middot580003
2033000 Z258middot000
7 753-003 828-003
0550 1244-001 101f 0-003 2487-001 1537-003 6Z16-00l 2908-003 1243middot000 5192-003 2bullbull83middot000 9 15-003 0600 0650 0700
13r7-001 1bullbull70-001 15I1l-001
131S1-003 1757-003 2227-003
2713-001 2939-001 3165-001
1880-003 2Z97-003 2809-003
6780-001 7345-001 7910-001
3l76-00l l917-00l bullbull 554-00l
1356middot000 1bullbull68middot000 1581middot0011
5(167-003 66~60037bullbull 9-003
2709middot000 293bullbull000 3160-000
1middot08-002 1middot20n-002 l l 26-002
075n 1696-001 28e7-003 3391-001 3bullbull50-003 e475-001 5320-003 1694+000 8bullbull33-00l 3385middot000 1 465-002
0800 0850 0900
181)9-001 1922-001 2035-001
361Z-003 bullbull 669-00l 6122-003
3617-001 3843-001 4069-001
bullbull 217-003 5375-003 6870-003
900-001 9605-001 1017+000
6271-003 7bullbull94-003 9113-003
1807000 19200011 2033 +000
9r91-003 10102-002 1785002
3611middot000 3836+000 4062000
1622-002 1807-002 2 031-002
0950 1000
2148-001 2261-001
81 4O-OOl 1094-002
4295-001 4521-001
8929-003 11 77-002
1073000 1130000
1130-002 1426-00Z
2160011 225900011
152middot-002 1R41-002
4287+000 bullbull5130000
2 311-002 2 67 0-002
1100 74117-001 2002-002 4973-001 209-002 1243+000 2l68-002 248000 224-002 4964+000 3 136-002 1200 1300 14110
27)3-001 29~9_00l 315-001
l618-002 6319-002 1061-001
5 bullbull25-001 5878_001 6l311-001
3717-002 64i7-002 1072-001
1 356000 1469+000 1582+000
bullbull 017-000 6751-002 1107-001
Z710000 2936+000 316Z+000
bullbull 515-002 7290-002 1165-001
5415000 5866+000 6317+000
5509-002 e l68-OO2 1 281-001
1500 ll91-001 1713-001 6782-001 17C6-001 1 695+000 1763-001 3388+00U 1825-001 6768+000 i950-00l
Page 105
TABLE 10 ICO~TINUEO)
X 00030 X 0000 X 00050 )( 00060 )( bull 0middot0080 T P OSM u P OS U4 P OS U P OSM U P OSM u
11lt1 (TORR) (JOLE) (TORR) (JMOLEI (TORR) (JMOLE) ITORR) (JMOLEI (TORR) tJMOLE)
0000 t3116-001 803-00 2076-001 763middot-004 2967-001 1091-003 3966-001 1bullbull58-003 62bullbull-001 2 296-003 0001 0002 0003 000
1308-001 1315-001 1325-001 1339_001
bullbull811-00 bullbull83_00 bullbull872-004 bullbull925-00
2079-001 2085-001 2097-001 2113-001
76middot3-00middot 7668-00middot 7710-00middot 7769-00 4
2970-001 2 977-001 2990-001 3007-001
1092-003 109S-003 1099-003 1106-003
3969_001 3977_001 3990_001 bullbull 008_001
1bullbull59-003 1462-003 1bullbull67-003 1474-003
6247-001 6256-001 6270-001 6291-001
2 297-003 2 30 0-003 2 306-003 2 313-003
0006 1380-001 5074-00 2158-001 7935-1)0 4 3056-001 112-003 4060-001 1493-003 6348-001 20 33-003 0008 0middot010 0012 001middot
1middot5-00115112-001 1579_001 1665-001
5276-00 5523-004 5807-004 6122-00
222rOOl 229 -001 2387-001 2488-001
81 62-004 8445-004 8776-004 91 49-00
3123-001 3208-001 3308-001 3423-001
11middot8-003 11 80-003 121fo-003 12511-003
middot132-001 4223-001 middot332-001 bullbull 457_001
1519-003 1553-003 1593-003 1639-003
6 428-001 6 530-001 6652-001 fo795-001
2 36-003 2 401-003 2 4bull 6-003 2 498-003
0016 0018 0020 0025 0030
1707-001 1855-001 1957-001 2228-001 2513-001
6461-004 6821-004 71 96-00 8191-00 92middot1-00
2599-001 2718-001 28bullbull-001 3181-001 353-001
9557-004 99115-004 1046-003 1170-003 1303-003
3549-001 3686-001 3832-001 bullbull 228-001 658-001
1305-003 1355-003 1middot09-003 1555-003 1713-003
bullbull 597_001 bullbull 749_001 bullbull912-001 5360-001 5852_001
1690-003 176-003 1806-003 1971-003 21 52-003
6955-001 7132-001 732-001 78amp0-001 860-001
2551-003 2 623-003 2 693-003 2 890-003 3111-003
0035 000 005 0050 0060
2809-001 311 3-001 3middot22-001 3735-001 bullbull 371-001
1033-003 11 45-003 1258-003 1373-003 1607-003
3921-001 bullbull 3U-001 bullbull 712-001 5119-001 599-001
1bullbullmiddot2-003 1586-003 1733-003 1882-003 21 88-003
5112-001 558-001 6070-001 6567-001 758-001
1880-003 2053-003 2232-003 2415-003 2789-003
6376-001 6925_001 7bullbull92-001 8074-00l 9270-001
2345-003 2546-003 2755-003 2969-003 3bullbull 09-003
9110-001 9797-001 1051middot000 1125middot000 1279middot000
3350-003 3 602-003 3866-003 4138-003 bullbull r02-003
0070 0080 0090 0100 0120
50t5-001 565-001 6320-001 6 978-001 8301 001
18middot-003 2083-003 232-003 2567-003 305-003
6795-001 7650-001 8513-001 938ii-001 1113-000
2bullbull99-003 2813-003 31 31-003 3bullbullSo-n03 bullbull 095-003
8623 001 9678-001 107middotmiddot000 1182000 1399000
3171-003 3559_003 3951-003 437-003 5146-003
1050000 1175000 1301+000 14ii9000 1688000
3860-003 middot320-003 bullbull 785-003 5256-003 ~206-003
1 437000 1600middot000 1765000 1932+000 2272000
5286-003 SA83-003 6 49 1-003 7106-003 8 35-003
0140 9631-001 35bullbull-003 1289middot000 bullbull 73-003 1618000 5951-003 l9middot1J+000 71 67-003 2615middot000 9middotamp18-003 OlfoO 0180 0200 0250
IOCJ6middot000 1230middot000 136-000 1700middot000
bullbull 036-003 4531-003 5027-003 6277-003
1bullbull6~middot000 16bullbullmiddot000 1822+000 2268middot000
5396-003 6051-003 6709-003 8365-0(13
1838middot000 2059+000 2280middot000 2836middot000
6762-003 7577-003 8395-003 1045-002
2211middot000 2 bullbull75-000 274110011 3 bullbull0middot-000
81 34-003 9107-003 1middot008-002 125middot-002
2962middot000 3310middot000 3661middot000 452+000
)089-0021218-002 347-002 1673-002
0300 0350 0400 0bullbull50 0500
2036000 2373000 270000 3047000 33e-000
7542-003 8827-003 1014-002 1148-002 1287-002
2715+000 3163000 3611middot000 bullbull 060000 bullbull509000
100-002 1113-002 1345-002 1521-002 1701-002
3393000 3952000 bullbull512000 5072000 5632000
1253-002 1bullbull63-002 1676-002 1893-002 2114-002
middot072000 bullbull7410011 5411+000 608ii+000 6754000
1503-002 1753-002 2007-002 2264-002 2526-002
5421middot000 6315+000 7206middot000 8098000 8991middot000
2001-002 2 332-002 2667-002 3005-002 3 348-002
0550 3722middot000 1431-002 959-000 18116-002 6193000 2340-002 7426000 ~793-002 988000 3697-002 0600 0650 0700 0750
bullbull 060-000 4397middot000 4735-000 0073middot000
151lt002 1738-002 1906-002 20116-002
5bullbull08+000 5858middot000 6307middot000 6757middot000
2077-002 2275-002 2bullbull84-002 2705-002
675middot000 7315middot000 7877000 8bullbull39middot000
2512-002 2812-002 3061-002 3323-002
809111000 8771+000 9bullbull4middot000 1012middot001
3066-002 33middot7002 3637002 3940-002
1078-001 1167middot001 1257middot001 136middot001
bullbull 052-002 414-002 bullbull 186-002 IIln-002
0800 0850
5bullbull0000 5748000
2284-002 2510-002
7207middot000 7657000
295-(102 3212-002
9000+000 9562000
360-002 3912-002
1079001 11middot6001
4262002 4611-002
1middot36middot001 1526001
5575 002 6006-002
0900 0900 1000
6086middot000 6424+000 6762000
2775-002 3097_002 3bullbull97-002
8107000 8557000 9007000
3518-002 3881-002 323-002
1012001 1069+001 1125001
4260-002 466-002 517-002
1214001 1281001 138+001
5000-002 546002 5969-002
1615middot001 1705-001 1795+001
6middot77-002 7004-0027 610-002
1100 7bullbull38middot000 66-002 9907000 5554-002 1237001 6460-002 1bullbull83001 7365-002 197-001 9169-002 1200 1300
811middotmiddot0008790000
6501-002 9 bullbull3-002
1081001 117hOOI
7bullbull92-002 1052-001
1350001 1 462001
881-002 1159 001
1618001 1753001
9468-002 1266-001
2153+001 2333001
1144-001 1479-001
1middot00 1500
9466middot000 101middot001
1397-001 207-001
126hOOl 1351+001
1513-001 21 97-001
1575001 1687001
1628-001 2321-001
18811001 2023001
113-001 2bullbullmiddotmiddot-00
2512middot001 2692+001
1 973- 00 2 691-001
Page 106
TABLE 10 (CONTINUED)
It bull 00100 X bull 00150 X bull 00200 X bull O O4ljO X bull Ch0300
p 0514 U4 P OSM U4 POSH U4 POSH U4 P OSM U4 (I() ITORR) IJMOLE) (TORR) (JMOLEI nORR) IJMOLEI (TORR) (JMOLEI (TORR) IJMOLpound)
0000 8845-001 3252-003 1647+000 6056-003 2532+000 Q310-00J 3506+000 1289-002 4545+000 1671-002 0001 8848_001 3254-003 1647+000 1gt057-003 2532+000 9312 003 35060000 189-002 4546 0000 1 67 1-0020002 8811i8-001 3257-003 16480000 1gt061-003 2534+000 9316-003 35080000 1 bull 90-002 4547+000 1672-002 0003 8873-001 3263-003 1650+000 1gt068-003 2535+000 93gt3-003 3510+000 129 1-002 4549000 1 6n-002 00114 A8Q5-001 3271-003 165J+000 6077-003 2531hOOO 9333-003 3513+00u 1292-002 4552000 1674-002
0006 8957-001 3294-003 166U-000 6103-003 2546+000 9362-003 3521-000 1295-002 4561+000 1677-002 0008 q044-001 3325-003 1670+000 61 40-003 2557+000 Q403-003 3533-00U 1 bull 99-002 4574-000 1 682-002 0010 9154-001 3366-003 1683+000 61 87-003 2571-000 9454-003 35480 0011 1305-002 4590-000 1688-002 0012 92A8-001 3lt15-003 1698_000 6244-003 2588+000 9518-003 3567+000 1312-002 4610-000 1 695-002 001 4 Q1I44-001 31172-003 1716+000 6311-003 2 609-000 9592-003 3589_000 l3l0-002 4633+000 1104-002
0016 9621-001 3538-003 1737+000 6387-003 2632-000 9677-003 361 4-000 1329-002 4660-000 1 714-002 00)8 98]8-001 3610-003 1761000 6473-003 2658000 9774-003 364 ii000 1339-002 4691000 1 725-002 0010 1003-000 3689_003 1786+000 6568-003 2687+000 9880-003 3674000 1351-002 4725000 1 737-002 0025 104_000 3913_003 1861+000 6842-003 2772000 1019-002 3767000 1385-002 4824+000 1 77002 0030 11]3000 It167_003 1948+000 71 62-003 2872000 1056-002 3977000 1426-002 4943+000 19 19-002
0035 1209-000 11445-003 204imiddot000 7520-003 2 986+000 1098-001 4005+000 1473-002 508+000 1 869-002 0040 1iiQO+000 4743-003 2151-000 7911-003 3112000 1144-00 4147middot00U 1525-002 5238+000 1926 -0020045 1375000 5056-003 226i+000 8329-003 3248-000 1194-002 4302+000 1582-002 5409-000 1 989-002 0050 1464000 5382-003 238HOOO 8769-003 33911-000 12118-002 4469+000 1643-002 5594-000 2057-0020060 1648+000 6061-003 2639000 9703-003 3706+000 1363-002 483ii+000 1777-002 6001+000 2 207-002
0070 1841+000 6769-003 2908+000 10laquogt9-002 4042+000 1486-002 5227000 1922-002 6 448-000 2 37 1-002 OOM 2039000 7497-003 3187-000 1172-002 4395+000 1616-002 5645000 2076-002 6 927+000 2 547-002 0090 2241+000 8241-003 3476-000 1278-002 4761+000 1751-002 6083000 2237-002 7430-000 2732-002 0100 2446+000 8996-003 3771000 1387-002 5139+000 1890-002 653700U 2404-002 7954+000 2 925-002 0120 2864000 1053-002 4 37i+000 1609-002 5917000 2176-002 7479+000 2750-002 9050+000 3 328-002
0140 32A8~000 ]209-002 4993-000 1836-002 6719+000 2471-002 8455-000 3109-002 10 0 19+00 1 3 148-002 0160 371 7000 1367-002 5621-000 2067-002 7538-000 2772-002 945700U 3478-002 1152+001 4 235-002 Oleo 4149+000 1526_002 6257000 2301-002 8 4 011 +000 3091-002 1050001 3963-002 1260001 4634-002 0200 4584 000 1687-002 6897000 2537-002 9208+000 3387-002 1151001 4233-002 1379+001 5072-002 0250 5679000 2091-002 8516000 31 34-n02 1134_001 4172-002 1414 +001 5 bull 01-002 1amp91001 6219-002
0300 6780000 2499-002 1015001 3737-002 1349-001 4967-002 1680+001 1gt184-002 2008middot001 7 388-002 0350 7886000 2910-002 1179+001 4347-002 1567+001 5770-002 19iO-001 7]80-002 2329001 8 573-002 0 400 8995+000 33l5-002 134-001 496 1-002 1785+001 6581-002 2221-001 81 84-002 2652-001 9 769-0020 450 1011-001 374-002 1510-001 558 0-002 200lt-001 7398-00lt 249+001 91 97-002 2977001 1)98-001 0 500 1122001 41 68-002 1676-001 6205-002 2224+001 8222-002 2767001 1022-001 330001 1 219-001
0550 1233-001 4598-002 1842-001 6836-002 2 445-001 9052-002 304Z+001 1125-001 3632001 1 342-001 0600 1345001 5034_00i 2008 001 7473-002 2 666+001 9 890_002 331 7+001 1228_001 3961_001 1465-0010600 147001 5478-002 2175+001 81 19-002 2887001 1074-001 359Z_001 1333-001 4290-001 1590-001 0700 1568_001 5931-002 2342+001 8775-002 3108001 1159-001 3868_001 1439-001 4620+001 1r15-0010750 1 680+001 6398002 2509 +001 94middot5-002 3330001 1246_001 4144+001 15116-001 4951+001 1 1142-001 0800 1792001 6883-002 267amp-001 1013-001 3552-001 1335-001 4420+001 1(55-001 52111 +001 1 971 -001 0850 1914+001 7396-002 2843001 1085-001 3774+001 14n-001 4697+001 1767middot001 5613+001 2middot103-0010900 2015+001 7948-002 3010+001 1160-001 3996+001 1523-001 4974-001 1883-001 5944+001 ZZ39-001 0950 2127001 8557-002 3177+001 12112-001 4218001 1625-00] 5251+001 Cl004-001 6276-001 2 38 1-001 1000 2239 -001 92115-002 3344-001 1331-001 41141001 1734-001 5528-001 21 34-001 6608+001 2 531-001
1100 2463+001 1097-001 3679+001 1511 11-1101 4885+001 1987-001 6083001 2428-001 7272001 2 865-001 1200 26A7+001 1340001 401 4 001 1828-001 5331+001 2312-001 6638_001 2793-001 7937-001 3 27 0-001 1300 2911_001 1692_001 4349+001 2220-001 5776+001 2745-001 7194+001 3266-001 8603001 3 r84-0011400 3135001 2202-001 4684+001 2771-001 6222001 3337-001 7750+001 3899-001 9269001 4 1157-001 1500 339+001 2936001 501 9 001 3546-001 6667_001 4152-001 8306+001 11755-001 9935-001 5 354-001
Page 107
TABLf 10 (CONTINUED)
)I bull 00350 X bull 00400 X bull 00450 ~ bull 00500 X 0O5gt0
T P OM U4 POSH U4 P OSM U4 P OS U4 P OSM U4 (K) (TORRI CJMOLE) CTORRl IJMOLE) nOAA) (JMOLE) (TOAA) (JMOLEI (TORA) IJMOLEI
0000 0001
1]631+000 5631+000
2070 002 2071-002
6748+000 6749+000
2481-002 2482-002
7885+000 78116+000
2899-002 2900-002
9031+000 9034000
3321-002 3321-002
101 1hOOl 101A001
3 742- OO 3 73-002
0002 0On3 0004
5633000 563150000 5 618000
2071-002 2072_002 2073-002
6750000 6753+000 6756000
2482-002 2483-002 2484-002
7887000 7890+000 7894000
2900-002 2901-002 2902-002
90340011 90360011 9040+000
3322-002 3323002 3324-002
101Smiddot001 1018+001 1019001
3 743-002 3744- 002 3146-002
0006 5648000 2077-002 6766+000 2488-002 7904+000 2906-002 9051000 3328-002 1020+001 3 750-002 0008 0middot010 0012
56amp1+000 678+000 5699+000
2082-002 2088-002 2096-002
6780+000 6798+000 6820+000
2493-002 2500-002 2508-002
7918000 7937+000 7960+000
2912-002 2 9111-002 2927-002
9066 +000 9085 +000 9109+000
3333-002 3341-002 3349-002
1021+001 1middot023001 1026+001
3155-002 3763-002 3 772- 002
0014 7 4+000 2105-002 6846+000 2517-002 7987+000 2937-002 9137+000 3360-002 10029+001 3 782-002
0016 Oots 0020 0025 0030
5752000 5784+000 5 820+000 5 926000 6003+000
2115-002 2127-002 2140-002 2179-002 2226-002
6876+000 6909+000 6947+000 7058+000 7192+000
252R-002 2541-002 c554-002 2595-002 264-002
8018+000 8053000 8092+000 8Z08+000 8348000
29411-002 291-002 2976-002 30111-002 3070-002
9169000 9206000 924600U 9366000 951200U
3HI-002 3385-002 3400-002 3444-002 3498-002
1032+001 1036001 1040001 1052middot001 1068+001
3795-002 3809-002 10 11 24-002 3870-00~ 31i25-002
0035 6201000 2280-002 7348000 2702-002 8512+000 3130-002 9684+000 3061-002 1085001 399 1-002 0040 0045 0050
6368000 504+000 6755+000
2342-002 2410-002 2484-002
7526+000 772000 7940000
2767-002 2840-002 2919-002
8699+000 8908000 9137000
3199-002 327S-002 3360-002
98711+0011 1010001 1034+001
3633-002 3713-002 31101-002
1106001 11211+001 1154+001
4066-002 4149-002 4442-002
0060 7201+000 2648-002 8420000 3096-002 9649+000 354111-002 1088+001 4000-002 1210001 4450-002
0070 0090 0090 0100 0120
7695+000 9227+000 A792middot000 93R2+000 1062+001
2829-002 3025_002 3233-002 3450-002 3906-002
8956+000 9539000 1016+001 1081+001 121 9+001
3293-002 3507-002 3736-002 3975-002 4482-002
1022+001 1085001 1152001 1223001 1374001
3759-002 3990-002 4~3~-002 4498-002 5053-002
1149+001 1216+01)1 1288001 1365001 152t1+001
4225-002 4411-002 4731-002 5017-002 5~17-002
1275001 1346001 122middot001 1504001 1679+001
4 687-002 4 948-002 5 230-002 5530-002 6174-002
0140 11112+001 4385-002 1365001 5018-002 1534+001 5642-002 1702001 6257-002 1866001 61162-002 0160 0180
1339+001 1468 +001
4923-002 5397-002
1527001 1673+001
5615-002 6151-002
1112001 1875+001
6297-002 6894-002
1895001 2073001
61168-002 7625-002
2074001 2268+001
7626-002 amp341-002
0200 1605+001 5903-002 1828001 6723-002 2048+001 7530-002 2263+001 8322-002 2474001 9099-002 0250 1964001 7225-002 2234+001 8216-002 2499+001 9191-00lt 2759001 1015-001 3015001 1109-001
0300 0350
2331+001 2702001
8576-002 9947-002
2649001 3071+001
9746-002 11 30-001
2962001 3 434+001
1090-001 1264-001
3270001 3791+001
1203-001 1395-001
3573001 4142001
1 314-001 1l24-001
0400 0450
3078+001 3455001
133-0011273-001
3498+001 3927+001
1289-001 1447-001
3911+001 4393001
1441)-0011618-001
4319+001 4851+001
1590-001 1787-001
4720001 5303+001
1131-001 1 953-001
0500 3835001 1414-001 4359001 1607-001 4877+001 1797-001 53870001 1985-001 5891001 2 17 0-001
0550 4216+001 1556-001 4793+001 1769-001 5363+001 1979-001 5926001 2185-001 6482+001 2390-001 0600 4598+001 1700-001 5229+001 1931-001 5852+001 2161-001 64611+001 2387-001 7076+001 2 611-001 0650 0700
4991+001 5365001
1844-001 1989-001
5665001 6103+001
2095-001 2260-001
6342+001 6833+001
2344-001 2529-001
7011+001 7556001
2590-001 2795-001
7672001 A270middot001
2 833-001 3 057- 001
0750 5750001 2136-001 6541+001 2427-001 7325+001 2716-001 8102001 3001-001 9870001 hil93-001
0800 6135001 2285-001 6980+001 2596-001 7818+001 2904-001 8649001 3210-001 9471001 3512-001 0850 6520+001 2437-001 7420+001 2768-001 8312+001 3096-001 9196+001 3421-001 1007+002 343-001 0900 0950
6906+001 7292001
2593-001 2755_001
7860+001 8301+001
2944-001 31 26-001
8807+001 9302+001
3292-001 3494-001
9745+001 1029+002
337-001 3859-001
1068+002 1128002
3 979-001 4 22 1-001
1000 7679001 2925-001 8742+001 3316-001 9797+001 3704-001 1084002 4089-001 119900C 4471-001
1100 8453+001 3299-001 9625001 3730-001 1079+002 4158-001 1195002 4584-001 1309+002 5 006-00 1200 92t7+OOl 3745-001 1051+002 4216-001 1178+002 4685-001 1305002 5150001 1431002 5612-001 1300 1000+002 4299-001 1139+002 4811-001 1278+002 5320 001 1415002 5A25-001 1552002 63211-001 1400 1500
1078+002 1155002
5012-001 5949-001
1228+002 1317002
5564-001 6542-001
1377+002 1477+002
6114-001 732-001
1526+002 1637+002
6660-00 7718-001
1674+002 1795002
7 Z03-00 8 302-001
Page 108
TlBLE 10 (CONTINUED)
)( 00600 )( 00640 )( 00650 X bull 00700 X bull 00750
P OSM U4 P OSM U4 P OSM U4 P OSM U4 P 05104 U4 IK) tTOqR) (JMOLE) (TORR) (JMOLE) ClORR) (JMnLE) (TORR) (JMOLE) (TORR) tJMnL[)
0000 1132001 4161-002 1222001 4492-002 1244001 4574-00i 1354 001 4980-002 1462001 5 376- 002 0001 1132001 4161-002 1222001 4492-012 1244001 4575-00i 1354001 4980-002 1462001 5 376-002 0002 1132001 4162-002 1220001 4493-002 1244001 457S_002 1355001 4981-002 1 462001 5377-002 0003 1132001 4163-002 1222001 4494-002 1245001 4576-002 135S001 4982-002 1463middot001 5378-002 0004 1133001 4164-002 1223001 4496-002 1245001 4578-002 135S001 4q84-002 1463middot001 5380-002
0006 1134001 4169-002 1224001 4500-002 1246001 4582-002 1357001 4Q88-002 1 464001 5384-002 0008 1135001 41 75-002 1225001 4506-002 1248001 4088-002 1358001 4994-002 1466001 5 391-002 0010 1137 001 41 82-002 1228001 4514-002 1250001 4591gt-002 1360001 Sn02-002 1468001 5 399-002 001 2 1middot140001 41 9 1-002 1230001 4023-002 1253001 4606-002 1363001 5012-002 1471001 5+09-002 001 4 1143001 4202-002 1233001 4534-002 1256001 4617-002 1366001 S1)24-002 1 474001 5+21-002
0016 1146001 4215-002 1237001 4547-002 1259001 41gt30-002 1370001 5037-002 1478001 5434-002 001 8 1100001 4229-002 124hOOI 4562-002 1263001 4645-002 1374001 50S2-002 1 482001 5 450-002 0020 11S5001 4245-002 1245001 4578-002 1268001 4661-002 1379001 5069-002 1487001 5 467-002 0025 1167001 4293-002 1258001 4627-01)2 1281001 4710-002 1392001 5119-002 1501001 5 518-002 0030 111l13001 4350-002 1274001 4686-002 1297001 4769-002 1 409001 5180-002 151$001 558-002
0035 1201001 4418-002 1293001 4755-002 1316001 4839-002 1428001 S252-002 10538001 5 b55-002 0040 10222001 4495-002 1315001 4834-002 1338+001 4919-002 1451+001 5334-002 1561001 5 139-00shy0045 1246001 4582-002 1339001 4924-002 1362001 5008-002 1476001 5427-002 1587001 5middot M34-OO2 0050 1272001 4678-002 1366001 5023-002 1389001 5lOR-002 1504001 5529-002 1616001 5 94 0-002 0060 131001 4895-002 1427001 5247-002 1 451001 5334-002 1567001 5763-002 1681001 6 181-002
0070 1399001 5144-002 1497+001 5503-002 1S21001 5592-002 1640001 6031-002 1757001 6 459- 002 OOlllO 1474001 5418-002 1574001 5788-002 1599001 S880-002 1722001 6331-002 1841+001 6 770-002 0090 15155001 5716-002 1658+001 6098-002 1684+001 6192-002 1811001 o~58-g02 1934001 7110002 0100 1641+001 6033-002 1748001 6429-002 1175001 6527-00~ 1906+001 1008-002 2033middot001 7476-002 0120 18gt7+001 6720-002 1944001 71 47-002 1972+001 7252-002 211 4 001 7771-002 2251001 8 275-002
0140 2027001 7454-002 2153001 7918-002 2184001 8032-002 2338+001 8595-002 2486001 9 141-002 0160 2249+001 8271-002 2386001 8715-002 2~20middotOOI 8900-002 2587+001 9511-002 2148001 1011-001 0180 2459001 9042-002 2608+001 9590-002 2645001 9725-002 21126001 1039-001 3001001 1104-001 0200 26111001 9859-002 2843001 10~5-001 2 883001 1060-001 3079 001 11 32-001 3270001 1 202-001 0250 32t-5middot001 1201-001 3461+001 1273-001 3509+001 1291-001 3747001 1378-001 3979001 1 463- 001
0300 3869001 1423-001 4101001 1509-001 4159+001 1530-001 4442001 1634-001 4718001 1 735-001 0350 4486+001 1651-001 4757+001 1750-001 4824001 1775-001 515f)001 18lt16-001 5478001 2 015-001 0400 514001 1882_001 5424001 1996-001 5500001 2024-001 5880001 2164-001 6252001 2301-001 0450 5748001 2116-001 6098001 2245-001 6185001 2277-001 661 5001 2435_001 7037001 2 590-001 0500 6381001 2353-001 6778001 2497-001 6875001 2532-001 7356+001 2709-001 7829001 2883-001
0550 7030001 2591-001 7463+001 2750-001 7571001 2190-001 8103+001 2986-001 8627001 3178-001 0600 7677001 2832-001 8150+001 3006-001 8270001 3049-001 8854 001 3264-001 Q431+001 3476-001 0 650 11326001 3014-001 8843001 3264-001 8972001 3311-001 9609+001 3545-001 1middot024+002 3 777-001 0700 8977+001 331-001 9537001 3523-001 9676+001 3S74-001 10037002 3R28-001 1middot105002 4079-001 0750 9630001 3563-001 1023002 3785-001 1038+002 3840-001 1113+002 4111-001 1186002 4384-001
0800 1028+002 3811-001 1093002 4049-001 1109002 410B-001 1189002 4401-001 1268+002 4 69 1-001 0850 1094+002 4063-001 1163+002 4316-001 1180002 4379-001 1265002 4692-001 1350+002 5002-001 0900 1110+002 4318-001 1233+002 4581-001 1251+002 4654-001 1342002 4987-001 1432+002 5 317-001 0950 1226002 4580-001 1303+002 4865-001 1322+002 4936-001 1418002 5289001 1514002 5639-001 1000 1291002 4850-001 1373002 51 51-001 1394002 5226-001 1495002 5599-001 1596+002 5 969-001
1100 14raquo3+002 5425-001 151 4002 5758-001 1537002 5841-001 1649002 6255-001 1761002 6 665-001 1400 1506+002 6072-001 1655002 6431-001 1680002 6529-001 1803+002 6q82-001 1 926+002 7 433-001 1300 1688002 6828-001 1196+002 7226-001 1823002 7325-001 1958002 7B1 9-OO1 2091002 8 310-001 1400 1821+002 7743-001 1938002 81 74-001 1967middot002 8281-001 2112middot002 eH600 2257002 9 348-001 1500 1953002 8883-001 2019+002 9346-001 2111+002 9461-001 0267002 1004+000 2423002 1061+000
Page 109
TABLE 10 (CONTINUEO)
X 00800 X 00900 X 01000 X 01100 X 01200
p OS U4 P OS U4 P OSM U4 P OSM U4 P OSM U4 (K) (TORR) (JMOLE) (TORR) (JMOLE) (TORR) (JMOLEI (TORR) IJOLE) ltTORR) IJMOLE)
0000 1567middot001 5760middot002 1764 +001 6487-002 1944+001 7147-002 2102+001 7730-002 2237middot001 8 224-002 0001 1567+001 5760-002 1761H 001 6487-002 1944+001 7147-002 2103001 7730-002 2237middot001 8225-002 0002 1567+001 5761-002 1765+001 6488-002 1944middot001 714~-002 2103-001 7731-002 2237-001 8 226-002 0003 t567middot001 5762-002 176)middot001 64 89-002 1 945-001 7149-002 2103_001 7732-002 2238-001 8 227-002 0004 1568_001 5764_002 1765-001 6491-002 1 945001 7151-002 2104001 7734-002 2238-001 8 229-002
0006 1569middot001 5769-002 1767middot001 6496-002 1 946001 7156-002 2105-001 7 39-002 2240-001 8 234-002 0008 1571001 5775-002 1769001 6502-002 1948001 7163-002 2107-001 7746-002 2242-001 emiddot 242-0020010 1573-001 5784-002 1771-001 6511-002 1951-001 7172-002 2110-001 7756-002 2245-001 8252-002 0012 1 576001 5794-002 1774middot001 6522-002 1 954001 7183-002 211 3-001 7767-002 2248001 8e63-002 0014 1579001 5806-002 1777001 6535-002 1 957-001 7197-002 211 6 001 7781-002 2e52-001 8e78-002
0016 151l001 58eO-002 1781001 6549-002 1962001 7212-002 2121-001 7797-002 2256middot001 8294-002 001 8 1597001 5836-002 1786001 6566-002 1966001 7229-002 2126+001 7fl15-002 2261-001 8 312-002 0020 1592-001 5854-002 1791-001 )584-002 1971-001 7248-002 213hOOl 7e35-002 2267+001 e333-002 0025 1606+001 5906-002 1806middot001 6639-002 1987+001 7305-002 21 47 001 7894-002 2283-001 8394-002 0030 1604-001 5970-002 1824-001 )706-002 2006-001 7375-002 2167+001 7966-002 2304-001 8 468-002
0035 1644001 6045-002 1845middot001 6785-002 2028-001 7457-002 2190-001 8051-002 2328-001 8 557-002 0040 161110001 6132-002 1870-001 6876-002 2054001 7552-002 221 7-001 81 49-002 2357-001 8 667-0020045 1694001 6230-002 1898-001 697-002 2083-001 7658-002 2247_001 8260-002 2387001 8774-002 0050 1774001 6339-002 1929001 7092-002 2115-001 7777-002 22810001 8384-002 2 421-001 8 901-002 0060 1791-001 6587-002 2000-001 73 53-002 2190-001 11051-002 2358-001 8668-002 2501-001 195-002
0070 1869-001 6873-002 2082001 7656-002 2276001 8369-002 2448_001 9001-002 2595001 9 541-002 OOAO 1907001 7195-002 2175-001 7998-002 2374_001 87lt9-002 2551001 9378-002 2702-001 9 935-002 0090 2053_001 7548_002 2277-001 8374-002 2484001 9131-002 2666001 9flOO-002 2822-001 1038-001 0100 2116-001 7928-002 2389+001 8783-002 2 600-001 9561-002 2789-001 1025-001 2951+001 1085-001 0120 gt3R30001 8762-002 2633001 9682-002 2861+001 1052-001 3065001 1127-001 3243-001 1192-001
0140 2630001 9669-002 2901-001 1067-001 3149001 11M-001 3372+001 1gt40-001 3S67-001 i31l-001 0160 2904001 1068-001 3200001 11 77-001 3 471001 1276-001 3716001 1366-001 3931middot001 1445-001 OlRO 311-001 1166-001 3494001 1285-001 3790001 1394-001 4059_001 1492-001 bullbull298-001 1580-001 0200 3455-001 1270-001 3806-001 1399-001 4130001 1519-001 4426001 1627-001 4691middot001 1 12C-0010250 42r15middot001 15lt6-001 4635+001 1704-001 5036-001 1852-001 5 1 4060ll1 1988-1ll1 5744-001 2112-001
0300 4988001 1835001 5505middot001 2025-001 5991001 2203-001 6445+001 2370-001 86001 ~524-001 0350 5794001 2131-001 6403001 2355-001 6980001 2567-001 7523_001 2761-001 8030001 ~953-001 0400 6616001 2434-001 7321001 2694-001 7993001 2940-001 8629001 374-001 9230middot001 3 395-001 0450 7451001 2742-001 8254001 3037-001 9023-001 3320-001 9757001 3590-001 1045+002 3846- 0010500 8294001 3054-001 9198001 3386-001 1007002 3706-001 1090002 4012-001 1170002 4304-001
0550 9144001 3368middot001 1015-002 3738-001 1112002 4095-001 1206002 4439-001 1295002 4769-001 0600 9999+001 3685-001 1111-002 4094-001 1219002 4489-001 1322002 4870-001 1422middot002 5 238-001 0650 1086002 4005-001 1207002 4452-001 1326+002 4886-001 1440002 5306-001 1550002 5712-001 0700 1172002 4327-001 130bullbull 002 4813-001 1 433002 528~-001 1558_002 5744-001 1679002 6 189- 001 0750 121119002 4651-001 1402-002 51 76-001 1541+002 5688-001 1677002 61 81-001 10809002 6 671-001
0800 1346002 4978-001 1500002 5543-001 1650+002 6094-001 1796002 6632-001 1939-002 7156-001 0850 1433middot002 5309-001 1598+002 5913-001 1758-002 6504-001 1916002 7082-001 2069-002 7046-001 0900 1510002 5644-001 1696002 6288-001 1867002 6920-001 2036002 7538-001 2200002 S142-001 0950 1608002 5986-001 1794 002 6670-001 1977002 7342-001 2156002 8000-001 2331middot002 8 644-001 1000 1696002 6336-001 1893002 7060-001 2086002 7772-001 2276002 8470-001 2463002 9155-001
1100 1871002 7072-001 2091002 7877-001 2306002 8670-001 2518002 9450-001 2727002 1 022000 1200 2048+002 7881-001 2289-002 8767-001 2527002 9641-001 2761+002 1050000 2992002 1135000 1300 2224-002 8799-001 2487-002 9767-001 2747002 1072-000 3004 -002 1167-000 3258002 1260+000 1400 2401-002 9877 001 2686+002 1093-000 2969002 119000 324amp-002 1299-000 3524+002 1 400-000 1500 2578002 1118-000 21186+002 1231+000 3190-002 1343-000 3492_002 1454-000 3791-002 1564-000
Page 110
TABLE 10 (CONTINUED)
)( 01300 )( 01400 X bull 0middot1500 X bull 01600 X bull 01 800
P 0gt U4 P OS U4 P OS U4 P OSM U4 P OSM U4 (K) (TO~RI (JMOLE) (TORR) (JOLE) nORR) (JOLEI (TORR) (JMOLEI (TORR) tJOLE)
0300 7248001 2665-001 7594+001 2792-001 7902001 2905-001 8170+001 1003-001 8578001 3 152-001 0350 0 400
13501+001 9792001
3126-001 3601-001
8933001 1032002
3285-001 3794001
9 1 326+0111 1080+002
34ZQ-QU3971001
9677+QQl 1124002
3558-gU 41 33-001
1025002 1middot199+002
3 768-001 4 408-001
0450 1111002 408B-001 1173002 4315-001 1231002 4527-001 1284+002 47Z3-001 1318middot002 5061-001 0500 1245002 458Z-001 1317+002 4846-001 13a5+00z 5094-001 1448+002 53Z6-001 1middot56100Z 541-001
0550 13111+002 5084001 1463+00Z 5384-001 1541002 5669-001 161 4 002 5938-001 1747middot00Z 4Z7-001 0600 1519002 5591-001 161100Z 59Z9-001 1 699+00Z 6Z52-001 1782+002 6559-001 1936+002 71Z3-001 0650 0700 0750
1657+002 1796002 191700Z
6103_001 66Z0-001 71 41-001
1760+002 1910+00Z 2060middot00Z
6480-001 70 36-001 7596-001
1858+002 Z019+00Z Z180002
6841-001 7436-001 8035-001
195c002 2123+00Z Z29b00Z
71 87-001 7AZO-001 8459-001
21Z7+00Z Z319+002 251300Z
7 8Z7-OO1 8 539-001 9 258-001
0800 207700Z 7666-001 2Z1Z+00Z 81 61-001 Z343+00Z 8640-001 Z469002 9104-001 2709+00Z 9 982-001 0850 0 900 0950 1000
ZZ19+00Z 2361002 Z503+00Z 2646+002
8196-001 8731-001 9Z74-001 98Z6-001
2364middot00Z 2S17+00Z 2671+002 2824+002
8731-001 9307-001 9890-001 1048+000
Z506+002 Z670+00Z Z834+00Z 2999+002
9250-001 9867-001 1049+000 1112+000
264300Z Z91 8+00Z 2994+00Z 370middot00Z
9754-001 1041000 1108+000 11 75000
2 90Smiddot00Z 310Z+00Z 3300middot00Z 3499+002
1071000 1145+00( 1middot 2Z 0+ 000 1 296 000
1100 2932+00Z 1097+000 3133middot00Z 11 71middotOno 333000Z 1243+000 35Z4002 1314000 38911middot00Z 1 452 +000 1200 3Z19middot00Z 1219000 344002 1301+000 3 b63+00Z 1382+000 387900Z 1461+000 4300+00Z 1 61lmiddot000 1300 1400
3511+002 379600Z
135Z000 1501+000
375400Z 4066 +002
14Z000 1599+000
399700Z 4331+00Z
1531+00n 1697+000
4236+002 4594+00Z
1619+000 1793+000
4702+002 S107+00i
1 790 000 1 98 1000
1500 4086+002 1672000 4378002 1779+000 4667002 1885+000 4952002 1990000 551Z+002 2 195000
TABLE 10 (CONTINUED)
)( 02000 X nZ250 X 02500 X 0Z7SO X bull 03000
p OS U4 P OSM U4 P OS U4 P OS U4 P OS U4 (K) (TORRI (JMOLE) (TORRI eJMOLE) (TORR) (JMOLEI eTORR) (JMOLE) (TORRI IJOLEl
0300 8807001 3236-001 88Z1+001 3240-001 8510001 3124-001 7f4b+001 2878-001 6801+001 2 493-001 0350 1064middot002 3910-001 108~+00Z 3987-001 1074middot00Z 394Z-001 1026+002 3766-001 9409+001 3449-001 0400 0450 0500
IZII)6+00Z1453+00Z 16-6+00Z
4614-001 5341-001 6086-001
1Z98middot00Z 1519+00Z 1746+00Z
4770-001 5581-001 6414-001
1308+002 155Z+00Z 18Z+QQZ
4803-001 5697-001 ~618-QOl
IZ82+002 1548+00Z 18Z3+00Z
4704-001 5681-001 690-001
1217+00Z 1506+00Z 1805002
4464-001 55Z3-001 6 619-001
0550 18I)Z+002 6846-001 1977-002 7Z65-001 Z058+00Z 7561-001 Z104+002 7724-001 2111+002 145-001 0600 0650 0700 0750
Z071+00Z 2Z113+00Z 2491-00Z Z713+00Z
7617-001 8399~001 9189-001 9987-001
Z212+002 Z450-002 Z691+00Z 2934+00Z
81 31-001 9009-001 9898-001 1080000
Z319+002 25114+00Z Z85Z+002 3123+002
8521-001 9496-001 1048+000 1148+000
Z391+002 Z683_00Z Z978+002 3Z7600Z
8779-001 9-51001 1094+000 1204000
Z425middot00Z Z743+002 3066+00Z 3393+002
11895-001 1 007 -000 1 1Z5 +OOO 1246+000
0800 0850 0900 0950 1000
29~0middot00Z 3148+00Z 3368+00Z 3589+002 3810middot00Z
1079+001) 1161+000 1243-000 13Z6-000 1410-000
3179002 34Z6+002 3674+002 3923+00Z 4173+00Z
1110000 IZ6Z+000 1354 +000 1449+000 1543+000
3396+00Z 3 671+00Z 3948+00Z 42Z6+002 4505+00Z
1Z49000 13H+000 1454+000 1558+000 1664+000
3571hOOZ 388200Z 4188_00Z 4495+00Z 4805+002
1315000 1428+000 1541000 1656 +000 1772+000
37Z3+00Z 4056-00Z 439Z+00 41 47Z9+002 5069+00Z
1 368000 1 49 1+000 1 615000 1 74 1+000 10 868+000
1100 4256+002 158Z+000 4677+00Z 1736+000 5068+002 1879+000 54Z8+00Z Z010000 0753+00Z ZIZ8+000 IZ00 1300 1400
4703+002 5153+002 5605+00Z
1763+000 1955+000 Z164000
5184-002 5693+002 6Z0 4+00Z
1939+000 ZI12middotOQO Z383+000
5635+00Z 6Z04+00Z 6776+00Z
Z103+000 Z339+000 Z592-000
6055+00Z 6686_002 7320middot00Z
Z256-000 ZSI5+000 Z790+000
6 443middot00Z 7137+00Z 7834+00Z
2 396 +000 2middot b78 +000 Z976+000
1500 605 7 -002 2395+000 6717+002 Z637+000 7351+00Z Z86+000 7957+002 3089+000 8535+002 3 Z98 -0OO
Page 111
TABLE 11
THE SPECIFIC HEAT 0 THE TOTAL HE3 - HE4 ~OLUTION
C IJMOLE-I()
TX 01001 00002 00005 00010 00020 00030 00040 00050 00060 00080
(I()
0000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 0002 0003
6509-004 949_004 1066_003
8928_004 1516_003 1853_003
1254_003 2402_003 3316_003
1593-003 3139_003 4514-003
2016_003 4010_003 5956_003
2314-003 4613_003 6882_003
255it_003 5094_003 1112-003
215-003 S50_003 8 I29-003
2933-003 5858_003 8168_003
3239-003 Amiddot12-003 9 693-003
0004 1124-003 2040-003 3910_003 5828_003 1821-003 9101_003 1010-002 093-002 1166_002 i290-002
0006 1171-003 2221-003 4180-003 1103-003 1115-002 13l9-002 1489_002 1620-002 113l-002 1 923-002 0middot008 lol01-003 2middot315-003 5l1 4-003 8924-003 1382-002 1100-002 1932-00l 2119-002 2217-002 2 54 1-002 OOlO 0012 0014
124-003 t 222-003 12l1-003
2middot364-003 2394-003 2middot414middot003
5413-003 5640-003 5155-003
9121-003 1028-002 1067-00l
1586-002 1141-002 1860-00l
2010-002 2263-002 2468-002
2327-002 2666-002 2951-002
pS18-002 li990-00l 3349-00l
2790-002 3259-002 3683-002
~136-002 3middot 699- OO 4224-002
0016 0018 0020 0Ol5 0030
1231-003 1234-003 1236_003 240-003 1243_003
2429-003 2439_003 2447_003 2461-003 2470-003
5838-003 5899_003 5941_003 6021_003 6071-003
1091-002 1119-002 1136-002 11 66-002 1185-002
1952-002 20l4-002 20U-00l 2187-002 2255_002
2635-002 2171-00l 2883_002 3088-00l 3226_002
31 92-002 3395 _O0l 3560_002 3888_002 4l09_00l
110 6511-002 3926-002 4156-002 603-002 4917-002
4056-002 4384-002 4612-002 5245-002 5659-002
4 (07-00l 5145-002 5 538-002 6353-002 6 913-002
0035 1245-003 2477-003 6111-003 11 97-002 2301-002 3321-00l 4I68-002 51 46-002 5965-002 447-002 0040 1248-003 2483-003 6136-003 1206-002 2334-002 3392-002 4385-002 5319-002 6198-002 7814-002 0045 0050
1251-003 1254-003
2487-003 2492-003
6155-003 6170-003
121]-002 1218-002
2359-002 l379-002
3445-002 3486-002
4414-002 4~43-002
545 t-002 554-002
6319-002 6523-002
8104-002 bullbull l38-002
0060 1262-003 2503-003 6196-003 1226-002 2406-002 3545-002 4644-002 5706-002 6133-002 8687-002
0010 1273-003 2515-003 6218-003 1232-002 2426-002 3586-002 471 4-002 911-002 6818-002 8929-002 0080 0090
1287-003 1305-003
2530-003 2549_003
6240-003 6264-003
1236-002 1241-002
2440-002 2451-002
3615-00~ 3637-002
4763_002 4S01-002
5886-002 lJ9 43-002
6983-002 7063-002
9 107-002 9 24 1-002
0100 0120
1328-003 13S1-003
2572_003 2632_003
6291-003 6356_00 3
1245-002 1253-002
2460_002 2476_002
3655_002 3683-002
411131-002 4875_002
5987-002 6053-002
1125-002 7215-002
346-002 9 498-002
0140 1471-003 2716-003 6444-003 1263-00l 2 491-002 3106-002 4910-002 Cmiddot101-002 7280-002 605-002 0160 0180 0200 0250
1middot581-003 17~3-003 1900-003 2523-003
2827-003 2969-003 3146-003 3710-003
6557-003 6101-003 6879-003 7505-003
1215-002 1290-002 1309-002 1372-002
2507-002 2524-002 2544-002 2 611-002
3128-002 3749-002 3773-002 3844-002
4939-002 4966-002 4994-002 5073-002
61 40-002 70331-002 615-002 7315-002 ~208-002 1415-002 6196-002 1514-002
9middot85-002 9 751-002 808-00l 9 935-002
0300 3453-003 4699-003 8435-003 1465-002 2106-002 3943-002 5176_002 6404-002 7629-002 1 007-001 0350 0400
4150-003 6415-003
5996-003 1122-003
9733-003 1146-002
1595-002 1168-002
2831-002 30ll-002
4076-002 4251-002
5311-002 548ti_002
6544-002 6723-002
7713-002 1955-002
t022-001 1 041-001
0450 8691-003 9931-003 1367-002 1990-002 3233-002 4474-002 5712_002 6949-002 8183-002 1065-001 0500 1146-002 1210-002 1644-002 2266-002 3510-002 4751-002 5991_002 7228-002 8464_002 1093-001
0550 14114-002 1608-002 1982-002 2604-002 3848-002 50At-002 632-002 715611-002 8804-002 i127-001 0600 0650 0100 0750
1898-002 2563-002 3694-002 5612-002
l022-00l 2688-002 3819-002 5736-002
2396-002 3061-002 4192-002 6109-002
3018-002 3683-002 4813-002 6729-002
4261-002 4 926-002 6055-002 7969-002
5503-002 6167-002 7296-002 9208-002
6743-002 1407-002 8535-002 1045-001
7982-002 86411)-002 9714-002 11611-001
9220-002 9884-002 10101-001 10 292-00 1
1169-001 1236-001 348-001 1539-001
0800 8718-002 8842-002 9214-002 9833-002 1107-001 1231-001 1354-001 1418-001 1601-001 1847- 001 0850 0900 0950
10346-001 2031-001 2970-001
1359_001 2043_001 l982001
1396-001 2080-001 3019-001
1457-001 21 41-001 3080-001
1581001 2264_001 3201-001
1704-001 2387-001 33l3-001
1e21-OO1 2509-001 3444_001
195 0-001 2631-001 3566-001
l073-001 2754-001 3687-001
2 318-001 2 998-001 3930-001
1000 4203-001 42lS-00l 4252-001 4312-001 4432-001 4553-001 4173_001 193-001 4913-001 5153-001
1100 7106-001 7718-001 7153-001 7812-001 1929-001 8046-001 8162-001 8middot279-001 8396-001 8 629-001 1200 1292+000 1293+000 1296+000 1302+000 1313+000 1324+000 1335000 1346+000 1357+000 1380+000 10300 1400
2046+000 3115+000
2047middot000 3116+000
2050+000 3119+000
2055+000 3124+000
2066000 3133middot000
2076+000 3142+000
2087+000 3152000
raquo097+000 31 61000
2107+000 3170+000
2 128+000 3189+000
1500 41532+000 4533middot000 4535middot000 4539+000 4541+000 4555+000 4063+000 4middot11+000 4579+000 4595+000
Page 112
TAIR 11 (CONTINuEDI
C (JOLE-IltI
011100 00130 00200 00250 00300 00350 00400 00450 00500 00550T~ 110
0000 0000middot000 II 000000 00011middot000 0000middot000 0000middot000 0000middot000 0000000 0middot000middot000 0000000 0000middot000 0001 3~00middot003 4035003 4410003 484 3003 5115-003 5415-003 515-003 1009-003 6250-003 6471-003 0002 69CJ5003 8067_003 8937003 9685003 1035_002 1095_002 11 511-002 1202-002 1250_002 1295-002 0003 1048-002 209_002 1340-002 1452-002 1552002 1642-002 112S_002 11102-002 1814-002 1943- 002 0004 13CJ5_002 1611_002 1186_002 1935002 2068_002 2189_002 2299002 2402_002 2499_002 2 590-002
0006 2084-062 2410-002 2614-002 2899-002 3099-002 3280-002 3441-002 3601002 3746-002 3 1t83-002 0008 2160-002 202-002 3556-002 3858-002 4126-002 43611-002 4591 -002 41 91-002 4991-002 5114-002 0010 3419-002 30982-002 4430-002 4811-002 5148-002 5452-002 5131-002 5990-002 6233-002 emiddot461-002 0012 4054-002 4148-002 5294-002 5156-002 6163-002 6529-002 6866-002 11111-002 1410-002 1745-002 0014 4659-002 5495-002 6144_002 6690-002 7169-002 7600-002 7994_002 8360-002 8702-002 025-002
0016 52lt6-002 6219-002 6918_002 1611-002 8165-002 8661-002 9115-002 953-002 9928002 1 030-001 0018 5156-002 915-002 1792-002 8517-002 9148middot002 9112-002 1023-001 1070-001 1115-001 1middot157-001 0020 6243-002 1518_002 8582_002 9405-002 1012-001 1015-001 11 33_001 1 86-001 1236001 1282-001 0025 72111-002 9085-002 1043-001 11 53-001 1246middot001 1328-001 140J-001 1471-001 1534-001 1593-001 0030 8102-002 1036-001 1209-001 1348-001 1 466_001 1569_001 1662_001 1146-001 1824-001 1 891-001
0035 a150-002 11 42-001 1352-001 1524-001 1668-001 1795-001 1908-001 2middot010-001 2104-001 2191-001 0040 9264-002 IUI-00l 1416-001 1619-001 1853-001 2004-001 237-001 2259-001 2311-001 2 4 14-001 0045 9616-002 1305-001 1582-001 1816-001 2017-001 2194-001 2]51-001 2 0493-001 2623-001 2 143-001 0050 1001-001 1middot361-001 1614-001 1936-001 2164-001 2366-001 2541 -001 2710-001 2860-001 2 997-001 0060 1052-001 1464-001 1821-001 2134-001 2412-001 2661-001 2886-001 092-001 3282-001 ]457-001
0070 1088-001 534_001 1931-001 2287-001 2608-001 2899-001 31 66-001 412-001 3640-001 31153-001 0080 10114-001 1587-001 2015-001 2406-001 2764-001 3093-001 3397_001 680-001 3943-001 4- 190-001 0090 1134-001 1628_001 2081-001 2500-001 2889-001 3250-001 3587_001 3903-001 4199-001 4 479-001 0100 1150-001 660-001 2134-001 2576-001 2990-001 3379-001 3745-001 4090-001 4416-001 4 125-001 0120 1173-001 1707_001 2212-001 2691-001 3145-001 3571-001 3988_001 4381-001 4756-001 5115 001
0140 1188-001 1740-001 2267-001 2771-001 3255-001 3119-001 41 65-001 4593-001 5007-001 5 405-001 0160 1200-001 1764-001 2307-001 28l1-001 3336-001 38Z5-001 4298-001 4755-001 5197-001 15 627-001 0180 1210-001 783-001 2338-001 2816-001 3398-001 3906-001 4399_001 4880-001 5347-001 SJJ01-001 0200 10217-001 1797-001 2362-001 2912-011 3 447-001 3970-001 4480-001 4977-001 5464-001 Smiddot940-001 0250 1234-001 1826-001 2406-001 2976-001 3535-001 4083-001 4123-001 51 52-001 5673-001 6185-001
0300 1249-001 1848-001 2439-001 3020-001 3594-001 4160-001 471 7001 ~26R-00I 5811-001 6 347-001 0350 1266-001 810-001 2467-001 3057001 3640-001 4217-001 4788-001 5352-001 5911-001 6 4 64-001 0400 1286_001 1893_001 2495_001 309 1-001 3681_001 4266_001 41146_001 5420-001 5990-001 6554001 0450 1310001 1920_001 2525_001 3125-001 3 720_001 4311_001 4891_001 5479-001 6057_001 6630-001 0500 1339_001 1951_001 2558001 31 61_001 3160_001 4356_001 4947_001 5535-001 6119-001 6 b99-001
0550 1374-001 1987-001 2596-001 3202-001 3804-001 4402-001 4998_001 111590-001 6179-001 6764-001 0600 1416-001 2030-001 2640-001 3248-001 3852-001 4454-001 5052-001 5648-001 6240-001 6 830- 001 0650 1482-001 2097-001 2709-001 3318-001 3924-001 4527-001 5128-001 5726-001 6322-001 6 915-001 0100 1middot595-001 2210-001 2822-001 3432-001 4039-001 4644-001 5246-001 5846-001 6444-001 1040-001 0750 10185-001 2400-001 3012-001 3622-001 4230-001 4835-001 5439-001 6040-001 6639-001 7236-001
0800 20CJ3-001 2707-001 3318-001 3928-001 4535-001 5140-001 5744_001 6345-001 6945-001 7 542-001 0850 2564-001 3175-001 3185-001 4393-001 4999-001 5603-001 6205-001 806-001 1405-001 8002-001 0900 3242-001 3851_001 4458-001 5063-001 5666-001 6268-001 6868_001 1466-001 8063-001 8659-001 0950 4112-001 4716-001 5379-001 5980-001 6580-001 7178-001 7714-001 111middot369-001 8962-001 9554-001 1000 5393-001 992001 6589-001 1184-001 7178-001 8371-001 8962-001 9552-001 1014000 1 073000
1100 8162-001 9444-001 1002middot000 1060000 1118middot000 1176middot000 1233000 1291000 1348+000 1405000 1200 1402000 14580000 1513000 1568000 1624000 1679+000 1734000 1789middot000 1844000 i 898middot000 1300 2149middot000 2201000 2253middot000 2304middot000 2356000 2407000 2459000 2510middot000 2561middot000 2 612000 1400 3208000 3254000 3301middot000 3347000 3393000 3440000 3486000 3S32middot000 3518middot000 3 623000 1500 4611middot000 4650000 4690000 4729middot000 4168middot000 48070000 4846000 488middot000 4924middot000 bullbull 963middot000
Page 113
TABLE 11 (CONTINUE)
C IJMOLE IO
0 00600 00640 00650 00700 00750 00800 OOYOO 01000 011 00 01i00
00
0000 00110+000 (1000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0middot000+000 0000+000 0000+000 0001 6693-003 6858_003 6899_003 7096-003 7285-003 7467_003 71114_003 bullbull 139-003 8447-003 8 74 0-003 000i 1339-002 137i-002 1380-00l 1419-002 1 1057-002 1493-002 1563_0(12 628-002 168Q-00l 148-002 0003 200 8_002 2057_002 2069_00 2 2128-00i 21115_00i 224O_OOi 2344_002 2441-002 2534_002 2 622-002 0004 i676_00i 2743_002 2759-002 2838-002 29 13_002 2986_002 3J2amp-002 3255-002 3378-002 3495-002
0006 4013-002 4112-002 4136-00l 42amp5-002 4369-00i 4478-002 4 86-002 4e81-002 5066-002 Si42-002 0008 5347-002 5480-002 5512-002 5670-002 58ii-002 5968-002 6i46-00i 650-002 6753-002 6988-002 0010 6679-002 845-002 6885-002 7083-002 1273-002 7456-002 7803- 002 11130-002 8438-002 8middot732-002 0012 8006-00i 1I206-00i 8255-002 8493-00i 8722-002 8941-002 9359-002 Q S1-OO2 1012-001 1047-001 0014 9330-002 9564-00i 9621-00i 9819-002 1017-001 1042-001 1091-001 11 37-001 10180-001 1 22 1-001
0016 10t5-001 1092-001 1098_001 11 30-001 1161-001 1190-001 1246_001 loi9s-001 1 348-001 1 395-001 0018 1196-001 1226_001 12310-001 1270-001 1304-001 1337-001 1400-001 1459-001 -515-001 1568-001 0020 1327_001 1360 001 1369 001 1409-001 1 447_001 1484_001 1554_001 1620-001 168i-001 1 741 - 001 0025 1649_001 1692-001 1703-001 1753-001 1802-001 1849-001 1937- 001 iOiO-OOl i098-001 2172-001 0030 19M-00I i018-001 i030-001 209i-OOl iH51-001 ii08-001 i3IS-001 i415-001 i510-001 2 599-001
0035 2i73-001 2336-00 i351-001 i4i4-001 i494-001 i561-001 i89-001 2A06-001 i917-001 3023-001 0040 i570-001 i6103-001 i661-001 i747-001 28i9-001 i901-001 3054_001 3191-001 3320-001 3441-001 0045 2855-001 2939-001 2960-001 3059-001 3154-001 3243-001 3412-001 middot569-001 3715-001 3 854-001 0050 3125-001 3222-001 3245-001 3359-001 3466-001 3569-001 3760-001 393A-00I 4103-001 4 259-001 0060 3621-001 3744-001 3173-001 3916-001 10052-001 4181-001 442l-001 4644-001 4851-001 SOH-OOI
0070 40111-001 420i-001 4i38-OO1 4414-001 4581-001 4739-001 5032_001 530i-00 5553-001 5 787-001 0080 443-001 45-001 4642-001 4850-001 5047-001 5235-001 5086_001 5908-001 6204-001 6 1081-001 0090 4743-001 4944_001 4993-001 5i31-001 5458_001 5674_001 6080-001 0454-001 6802-001 1126-001 0100 501 8-001 5242 001 5297_001 5563-001 5818_001 6062-001 6020_001 6946-001 7342-001 7 13-001 0120 5459_001 50724_001 5789_001 6106-001 6 411-001 6705_001 7i6~_01)1 7782-001 8270-001 8 31-001
0140 5790-001 61189-001 616i-001 6S21-001 6869-001 7206-001 7848_001 8454-001 9026-001 569-001 0middot160 6044-001 6369-001 6449-001 6843-0111 7226-001 7599-001 831 4-001 8994-001 9641-001 1 026-0011 0180 6i44-001 6590-001 6676-001 7098-001 7509-001 7911-001 868amp-001 9-431-001 1014000 1 082+0011 0i00 6405-0111 6769-001 6859-001 7303-001 7739-001 8165-001 8Q9J-OOI -789-0 0 l 1056+000 1129+1100 02511 6689-001 7086-001 7184-001 7673-001 8154-001 8626-001 9S5U-ODI 1045+000 1132+0110 1216+000
0300 6877-001 7295-001 7399-001 7915-001 8 425-1101 8929-001 9lt11 9-001 1089+1100 1183+0110 1 276+000 0350 7011-001 7444_001 7552001 8088-001 8619-0111 9145-001 1018+000 11211+000 1ii0-DOO 1 318+000 11400 711 4-001 7559_001 7669-001 8220-001 8766-1101 9308-001 1038+000 11 43+000 1247+000 t 349 +ODO 0450 7i00-ODl 7653_001 7765_1101 83i7-001 8885_001 9438_001 1054 +0011 1162+000 1~269000 1 374 +000 11500 7276-001 7735-0111 7849-0111 8419-001 8985_0111 9549_001 1061+0(10 11 77+000 1286+0110 1 394+000
0550 7347-0111 7811-001 1920-001 8503-001 9076-001 9647-001 1078 -01111 1190000 1301+0011 411 +000 0600 7417-001 7885-1101 8001 001 8583-1101 9162-001 9739-1101 1088+11110 1middot202+000 1314+1100 4i6+000 0650 7SDI-001 7976-001 80910-001 8679-0111 9263-001 9844-1101 10 100+11110 1215+000 13i8+00D 1441+000 07011 76]3-001 8106-1101 8224-001 8813-001 9400-001 9985-001 111 5+000 1(31)+000 1345+0110 1 459+000 0750 7middot831-001 8306-1101 8424-001 9015-001 96115-001 101119+1100 1136+000 1middot252+000 1368+000 1482+0011
08110 81~8-001 8614_11111 873i-001 9325-1101 9915-0111 1050+000 1168+000 1284+000 1400-000 515+0011 118511 11laquo97_001 91173_1101 9191-11111 9183-0111 11137+11110 111960110 121 4000 1330+11110 1446+1100 1 562+0011 0900 9i5i-OD1 9726-001 9845-001 1044+0110 1102+11110 1161+000 1218000 1395+0110 1511000 6i6+000 0950 101114+0011 11162+000 1073+111111 11 32+0011 1191+1100 1249+000 1366+000 14820011 1598+000 bull fl3+000 1000 1131+0110 11780011 1190-000 1248+1100 1306+000 1364000 1480+0110 11595+000 1710+000 1 824+0011
1100 14(12+0011 1508+1100 151 9+1100 1576+01111 1633+0011 1689+000 180i+QOO 1914+11110 2026+000 2138+000 121111 1953+000 1997+1100 21101+11110 20tli+DDO 2116000 i170+DDO iZ79_DDO 2386+0011 2494+11011 ZbOl+QOQ 103011 2663-1100 2704+11011 2114+000 i7b5+00Q 2816-000 2866+000 2961_11110 306e+000 3168+000 3 268+000 141111 369+11110 37116-000 3715+1100 3760+000 3806+000 3851+000 3942+11011 40 32+000 4122+111111 4 212+0011 15110 5002+000 51133+000 5041+0011 5079-000 5118+ 000 5156+0011 5233+0011 ~309+QOQ 5386+000 5 46i+ODO
Page 114
TABLE 11 ltCONTINUED)
C IJMOLEmiddotIO
01300 01400 01500 01600 01800 02000 02250 02500 02150 03000~ (I( )
0000 0000+000 0000+000 0000+000 0000+000 0000middot000 0000+000 0000+000 0000middot000 0000+000 0000+000 0001 9020003 9288_003 9547003 97n-003 1027-002 1072002 11 20_002 1177-002 1225-002 1i72-002 0002 1804_002 1158_002 1909_002 1959_002 2055_002 2145_002 2252_002 2353-002 2450_002 2 544-002 0003 2706_002 2786_002 2864_002 2939_002 3082_002 3217002 3378_002 3530_002 3676_002 3amp16002 0004 3607_002 3715_002 381 8002 3918_002 4109002 4289_002 4503_002 4706_002 4901_002 15 088002
0006 5410-002 5571middot002 5727-002 5817-002 6163-002 6434-002 6154_002 7059-002 7350-002 7 03 1-002 0008 7212-002 7427-002 7634middot002 7834-002 8216middot002 8577-002 9005-002 9411-002 9800-002 1011-001 0010 9012-002 9281-002 9540-002 9790-002 1027-001 10072-001 1125-001 1middotP6-001 1225-001 1272-001 0012 1QIH-OQl 1middot113-001 1144-001 1175-001 1232-001 1286-001 135U-OOI 1middot411-001 147 0-001 1 526- 001 0014 1middot261-001 1298-001 1335-001 1370-001 1 437-001 1500-001 1575-001 10646-001 11 14-001 1 180-001
0016 1440-001 1483_001 1525-001 1565-001 1641-001 1714-001 1799_001 1881-001 1959-001 2034-001 0018 161 9-001 1668_001 174-001 1760-001 184tgt-001 1927-001 2024-001 215-001 2203-001 2 287-001 0020 11lt)8001 1852_001 1904-001 1954_001 2050-001 2141_001 2248 001 2350 001 2447-001 2 54 1-001 0025 2243-001 2311-001 2376_001 2439-001 2559-001 2673-001 280 7001 2935-001 3056 001 3174-001
0030 26A5-001 2707_001 2846_001 2921-001 3066001 3203_001 336-001 351A-00l 3664_001 3 8OS-001
0035 3123-001 3219-001 3312-001 3401-001 3570-001 3730-001 3919-001 4094-001 4270-001 4 435-001 0040 3557-001 3668-001 3774-001 3876-001 4071-001 4254-001 4471-001 4677-001 4873-001 5062-001 0045 39A5-001 4111-001 4231-001 4347-001 4568-001 4775-001 502U-001 5252-001 5474-001 5 687-001 0050 4407-001 4548_001 4683-001 4813-001 5060-001 5292-001 5560-001 1125-001 6072-001 6309-001 0060 5227-001 5401-001 5567-001 5726-001 6028-001 6310-001 6643-001 6 951-001 1256-001 7542-001
0010 6008-001 218_001 6417-001 6608-001 6 968-001 7304-001 7 98_0111 A06lt)-001 8421-001 8 759 001 0080 6743-001 6991-001 7220-001 7451-001 7874-001 8267-001 8726001 91 56-001 9565middot001 9955-001 0090 1430-001 7716_001 7988001 8249-001 8738_001 9192-001 9120-001 1021+000 1068+000 1 113 +000 0100 8062-001 8392-001 8704-001 9000-001 9551-001 1008000 1068000 124+000 1177+000 lc27000 0120 lt)17 001 9580_001 9914-001 1035+000 1106+000 117+000 1246 +000 1316+000 1382000 1444+000
01 40 1008+000 1058+000 1105+000 1150+000 loc35+000 1314+000 1406+000 1491+000 1570+000 645+000 0160 1085+000 1141middot000 1195+000 1247+000 1346+000 1438+000 11146000 1740+000 829+000646+000 0180 1148+000 1211+000 1272middot000 1330+000 11141+000 1546+000 168+000 1783+000 1891+000 1994+000 0200 1201+000 1269+000 1330+000 1400+000 1523+000 1639+000 1176+000 1904+000 2026+000 2141middot000 0250 1299+000 1379+000 1457+000 1534+000 1681+000 1821middot000 1lt)89+000 247+000 2299+000 2 444+000
0300 1366+000 1454+000 1541+000 1626+000 1791+000 19H+000 21 42 +000 325+000 2502+000 2 671+000 0350 141 4+000 1509+000 1602+000 1694 +OOl 1872+000 2046+000 2255+000 2451+000 2654+000 2 844+000 0400 1450000 1549+000 1647000 1744+000 1 934+000 2118+000 2342+000 2560+000 2771+000 2 978+000 0450 1478+000 1581+000 1683+000 1783000 1981middot000 Z174+000 2410+000 C640+000 2864middot000 3083+000 0500 1501+000 1607000 1711middot000 1815middot000 2019+000 2219+000 246S+0IHI 2104+0 2939+000 3 169000
0550 1520+000 1628+000 1735+000 1841+000 2050+000 2256+000 2509+000 751+000 3000+000 3 240+000 0600 1537+000 1641+000 1756+000 1864middot000 2077+000 2288+000 2541000 2801middot000 3051+000 t29S+000 0650 1553+000 1665+000 1775middot000 1885+000 2102+000 2316+000 2580 +000 2140middot000 3096+000 3349000 0700 1512+000 1685+000 1796+000 1907+000 2121+000 2345+000 213000 2818middot000 3139middot000 3396+000 0750 1596+000 1710+000 1823+000 1935middot000 2157+000 2317+000 26411 +000 2417+000 3181+000 3 443+000
0800 16~0+000 1744+000 1857+000 1970+000 2194+000 2416+00amp 2690+000 961+000 3229+000 1494+000 0850 1677+000 1191+000 1905middot000 2018+000 2243+000 2466+000 2142+000 3015+000 3285+000 3 552+000 0900 1141+000 1856+000 1969+000 2083+000 2308+000 2531+000 2808000 3082+000 3353+000 3 622+000 0950 1821+000 1941+000 2055000 2168middot000 2393+000 2616+0011 2892+000 3166+000 3438+000 3 101+000 1000 1938+000 2051+000 2164+000 2217+000 2501+000 2723+000 2998+000 3211+000 3542+000 3 810000
1100 2249+000 2360+000 2410+000 2580+000 2799+000 3011+000 3287+000 3554middot000 3820+000 4084middot000 1200 2707+000 2814+000 2920+000 3025000 3236+000 3445+000 3704+000 3962middot000 4218+000 4bullbull12+000 1300 3368+000 3467+000 3566+000 3665+000 3862+000 4051000 43011+000 4541+000 4181+000 5019+000 1400 43(12middot000 4391middot000 4480+000 4568+000 4745+000 4920+000 5138+000 5355+000 5569+000 5783+000 1500 5537+000 5613+000 5688+000 5163+000 5 912000 6060+000 6244000 6427+000 6608+000 6 788+000
Page 115
TA8Le 12
THE ENTROPy OF THE TOTAL HE3 - HE SOLUTION
5 (J140LE-K)
~ 011001 00002 00005 00010 00020 00030 00040 00050 00060 00080
UO
0000 0001 0002 0003
0000+000 7128_004 1271-003 16111-003
0000+000 9212_004 1751_003 2411_003
0000+000 126-003 2495_003 3651_003
0000+000 1598_003 lI BO-003 4129_003
0000middot000 2019_00l bullbull 030-003 0026_003
0000+000 2316_003 4626_003 6927_003
000(1+000 21554_003 ~103_003 7t II _OO3
0000+000 c75_003 50-003 8255_003
0000+000 2933_003 5 8h_003 8790_003
0000+000 3239- 003 677-003 9110-001
000 1996-003 299B_003 4701-003 62l2-003 7997-00l 9212_003 10111-00~ i099-002 1171-002 1 29-002
0006 2464-003 3866-003 6483-003 8966-003 1 IB2-002 10371-002 15111-002 1middot-002 1 151-000 1 937-002 0008 0010
2806-003 3075-003
bullbull520-003 503-003
7923-003 9117-003
1136-002 1345-002
151-002 1872-002
1805-002 2219-002
2009-002 2483-002
21 7A-002 2701-002
2l25-00l 28B9-002
2middot~15-002 3a 06-OO2
0012 3298-003 5477-003 1013-002 1527-002 2176-002 2609-002 29311-002 320A-002 30440-002 3 1129-002 0014 3486-003 5847-003 1101-002 1689-002 2 bullbull54-002 2973-00 3371-002 3697-002 3975-002 4439-002
0016 36M-003 6PI_003 1178-002 1833-002 2708-002 3314-002 3782_002 bullbull 165-002 4491-002 5035-002 Omiddotou 0020
3796-003 3926-003
6457-003 6115-003
1247-002 1310-002
1964-002 2082-002
292-002 3159-002
3633-002 3931-002
41 70-002 4536-002
611-002 5037-002
bullbull988-00l 5466-002
51115-002 6178-002
0025 0030
bullbull 202-003 4428-003
72amp3-003 7712-003
1bullbullbull4-002 1554-002
2339-002 2554-002
3amp36-002 bullbull 01-002
bullbull 598-002 5174-002
53amp9_002 60 99-002
6016-002 1188-002
6573-00l 7568-002
705-002 821-002
0035 bullbull620-003 8094-003 1648-002 2737-002 bullbull 392-002 5678-002 6745_002 7660-002 8 bullbull64-002 9833-002 0040 0045 0050 0060
4786-003 bullbull 934_003 5066_003 5295-003
8425-003 8717_003 8980_003 9435_003
1730-002 1802-002 1867-002 1980-002
2898-002 3040-002 3168-002 331-002
4702-002 bullbull 978_002 522a-002 5664_002
6127-002 6529_002 6890_002 7536_002
7323middot002 7844-002 831 9_0112 91)1-0n2
80359-002 0993-002 9573-002 1060-001
9277-00l 1002-001 1070-001 1191-001
1085-001 1179-001 1266-001 1 4Z1-001
0070 5bullbull90-003 9822-003 2075-002 3581-002 6037-002 8086-002 9879_002 11middot9-001 1296-001 557-00 0080 0090 0100 0120
5661-003 581middot-003 5913-003 6200-003
1016-002 06-002 1073-002 1120-002
2158-002 2Z32-002 2298-002 2414-002
376-002 3801-002 4022-002 4250-00Z
6362-002 6650-002 6908-002 7358-002
1566-002 1051-001 8993-002 10107-01)19378-002 11 58-001 100S-001 1241-001
1227-001 1297-001 1359-001 1middot469-001
388-001 1 471-001 1 546-001 1676-001
1 677- 00 1 1185-001 1883-001 2middot0SS-001
01middot0 6419-003 1161 002 2512-002 444-002 771-002 1062-001 1322_001 1S63-001 17811-001 2202-001 0160 6623-003 11 98_002 2599-002 bullbull 613-002 8075-002 1111-001 11118_001 l64S-OOl 1886-001 2 331-1101 0180 0200
687-003 7007-003
1232-002 1264_002
2677_002 2748-002
4764-002 bullbull901-002
8371-002 8638-002
115S-001 1195-001
1bullbull46_001 1499_001
10717-001 1782-001
1972-001 2050-001
Zmiddot6-001 2 5bull 9-001
0250 7493-003 13middot1-002 2908-002 S200-002 9212-002 1280-001 1lIll-00l 1922-001 2217-001 2 169-001
0300 A030-003 1417-002 3053-002 5bullbull57-002 9696-002 1351-001 1704 -001 20311-001 2355-001 2 951-001 0350 0400 0bullbull50 0500
8655-003 9396-003 1028-002 1middot114-002
1bullbull99-002 1590-002 1693-002 1812-002
3192-002 3333-002 3480-002 3638-002
5693-002 5916-002 6137-002 6360-002
1012-001 1051-001 1088-001 1123-001
1bullbull12-001 1middot68-001 1519-001 1568-001
1785-001 1851-001 19Z3-001 1985-001
2]37-001 2226-001 2)06-001 2381-001
2bullbull73-001 2571ll-001 2673-001 2761-001
]107-001 ]i5-001 3 369-001 3 483-001
0550 12i8-002 1948_002 3810-002 6S92-002 1158-001 1615-001 2043-001 0451-001 283-001 3588-001 0600 0650 0100 0750
1bullbull04-002 15110-002 1808-012 2122-00Z
2105-002 2291_002 2527_002 2851_002
3999-002 bullbull215_002 bullbullbull79_00Z bullbull828_002
6835-002 7101-002 7411-002 7803-002
119-001 1230-001 1270_001 1318_001
1661-001 1707_001 1756-001 1813_001
2100-00)21S6_001 2H5_001 2280-001
2519-001 21585-001 265]-001 2726-001
2921-001 2998_001 3075-001 3156-001
]688-001 ]8-001 3879-001 3978-001
0800 2576-002 3312-002 531 4-OOZ 8329-002 1379-001 1881-001 2356-001 2Al]-001 329-001 ~O87-001
0850 0900
3238-002 middot19O-OOZ
3981-002 4941-002
6005-002 698amp-002
9058-002 1007-001
1middot59-001 1568-001
1969-001 2085-001
2452-001 257-001
2914-001 3043-001
3359-001 3bullbull96-001
4 212-001 4 363-001
0950 55gt7-002 6285-002 8350-002 11middot7-001 171-001 2238-001 Z734-001 209-00 3669-001 58-001 1000 7351-002 8middot11-002 1020-001 1335-001 1908-001 2 bullbull311-001 2940-001 3 bullbull22-001 3887-001 4 raO-OOl
1100 1288-001 1366-001 1577-001 1898-001 2483-001 302-001 3538_001 4031-001 4507-001 5 4 22-001 1200 1300 1400
218-001 34H-001 5367_001
2246-001 3S61-001 5447_001
2bullbull61-001 3778_001 5667_001
2787-001 4108-001 6001-001
3381-001 bullbull 711-001 6611_001
3933-001 5271-001 717B_001
bullbull 456 0111 5803_001 771 11 _001
bullbull959-001 11315-001 8237-001
5446-001 6810-1101 8739_001
6381-001 762-001 9 106-001
1500 79110 001 8061-001 8282-001 8619-001 9236-001 9809-001 103S+000 108+000 1139000 1middoti37middot000
Page Ilb
TAlK 12 CONTINUED)
IJMOLE-K)
00100 00150 00200 00250 00300 00350 00400 00450 00500 00550 ~ ItO
0000 0000+000 1)000000 0000000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 31500-003 4035_003 4470_003 4844_0n3 5115_003 547_003 5752_003 6009-003 6250_003 6 477-003 0002 69Q9-003 8070_003 8939_00 3 9686_003 1035002 1095_002 11 5deg_002 202-0OZ 1250-002 1295-002 0003 1049_002 1210_002 1341-002 1453_002 1552-002 1642_002 172)_002 1802-002 1875002 1 943002 0004 1399_002 1613_002 1787_002 1937-002 2069_002 219n_002 2 bull 011-002 2403-002 2500-002 2 591-002
0006 ~OQS-002 2418-002 2679-002 2904-002 3103-002 3284-002 3450-007 3middot604-002 3749-002 3R85-OO2 0008 27~7-002 3220-002 3569-002 3869-002 4135-002 4376-002 415911-002 4middot~04-002 4997-002 5 179- 002 0010 3474-002 4018-002 4457-002 4833-002 5166-002 54-002 5745_002 iIiOOl-002 6244-002 amp472-002 0middot012 4154-002 4812-002 5341-002 5794-0n2 6194-002 6557-002 68911-002 7200-002 7490-002 1 4-002 0014 41125-002 0600-002 6221-002 6751-002 7220-002 7644-002 8033-0112 8]95-002 8734-002 ~U54-002
0016 54A4-002 ~382-002 7096_002 7705-n02 8242-002 8728-002 91 74-OO 95811-002 9976-002 1 034- 001 0018 6131-002 7155-002 7965-002 8654-00 9261-002 9809-002 1031 -001 10711-001 1122-001 163-001 0020 6763-002 7918_002 8827_002 9SY7-0n2 1028_001 1089_001 1145_001 11 97-001 1245-001 I Z9 1-001 0025 8272-002 9775_002 1094_001 11 93-001 1279-001 1356-001 1427-001 1492-001 1S53-001 1 611-001 0030 9675-0n2 1155_001 1300-001 1 420-001 1526_001 1620-001 170S-00t 1785-001 1859-001 1928-001
0035 1097-001 1323-001 1497-001 1642-01l1 1767-001 1879-001 1980-001 1074-001 2161-001 2243-001 00 40 121 8-001 14S1-001 1686-001 1855-001 2002-001 2132-001 22511-001 ]59-001 2460-001 2 554-001 0middot045 1middot39-001 1631-001 1866-001 2061-001 2230-001 2379-001 251 4-001 263A-001 2753-001 2 861-001 0050 143-001 1771-001 2038-001 2259-001 2 450-001 2620-001 27Ta-001 2912-001 3042-001 3middot164-001 0060 16O-001 2030-001 2356-001 2630-001 2 867-001 307E1-001 368_001 3441-001 3602-001 3 152-001
0070 1785-001 2261-001 2646-001 2971-001 3255-001 3507-001 373+-001 3943-001 4136-001 4 315-001 0080 192-001 2469_001 2909-001 3285-001 3613-001 3907-001 4173_001 4416-001 46112-001 4852-001 0090 20115_01)1 2659_001 3151-001 3574_001 3946_001 4280-001 4584_001 4863_001 5122_001 5363 001 0100 20185-001 283Z-001 3373-001 384 1-001 4256-001 4630-001 4971-001 5284-001 5576-001 5 848-001 0120 2397-001 3llY-001 3769-001 4322-001 4816-001 5264-001 5 76_001 6057-001 6 412-001 6 146-001
0140 2579-001 3405-001 11115-001 4743-001 5309-001 5827-001 6305-001 749001 7165-001 7557001 0160 2738-001 639-001 44211-001 5117-001 5750-001 6331-001 68711-001 7374-001 7847-001 8 294 - 0010180 2880-001 3848-001 4694-001 5453-001 6146-001 6786-001 782-0111 7 941-001 8461-001 amp967-001 0200 3008-001 4036-001 4941-001 5758-001 6507-001 7201-001 750-001 bullbull 46f)-001 9038-001 586-001 0250 32A2-00l 4441-001 5473-001 6415-001 7286-001 8100-001 8866-001 9591-001 1028+0011 1 094000
0300 35t18-001 4715-001 5915-001 6962-001 7936-001 8852-001 9718-0()l 054middot000 1133+000 1208+000 0350 3702-001 5062-001 6293-001 7430-001 8494_001 9497-001 1045 +000 11 36000 1223+000 1 307+000 0400 3872-0111 5313_001 66211-001 7841-001 8983_001 1006+000 110Y00O 1208+000 1303000 1 394+000 0450 4025-001 5538_001 6920-001 8207-001 9418-001 1057000 1161+000 1272+000 1374+000 1472+000 0500 4164-001 5742_001 7188-001 8538-001 9812-001 1103+000 1219+000 1330+000 1438+000 1542+000
0550 4293-001 5929-001 7433-001 8841-001 1017+000 1144+000 1266+000 1383+000 1496+000 1606000 0600 445-001 6middot104-001 7661-001 9121-001 1051+000 1183+000 1311hOOO 1432+000 1550+000 1665+000 0650 45~0-001 ~269-001 7875-001 9384-001 1082+000 1219+000 13511000 1middot478middot000 1601+000 1120+000 0700 4644-001 ~428-001 8079-001 9633-001 1111+000 1253+000 1389+000 1520+000 1648middot000 1 172+000 0750 47110-001 6586-001 8280-001 9876-001 10140+000 1285middot000 1426+000 561+000 1693middot000 1821+000
0800 48114-001 6750-001 8483-001 1012middot000 1168middot000 137+000 146Z+000 1601000 1137+000 1869000 0850 5024-001 6927-001 8697-001 1037+000 1197+000 1350+000 1498000 141+000 1780+0011 1916+000 0900 5189-001 7127_001 8932-001 1064000 1227000 1384+000 1535+000 1682000 1824+000 1 963+000 0950 5388-0111 7359_001 9196-001 1094+000 1260+000 1420+000 1574+000 1724middot000 1870middot000 2012middot000 1000 56~2-001 7633-001 9502-001 1127+000 1297000 1460+000 11 7+000 770+000 1919+000 2 064000
1100 62Q7-001 8354-001 1028middot000 1211+000 1386middot000 1554+000 171 7+000 1876middot000 2030middot000 2181+000 1200 7275-001 9382-001 1136+000 1323+000 1503+000 1677+00( 1845000 008+00Q 2167+000 2 323000 1300 8674-001 1082+000 1284+000 1476+000 1660+000 1838+000 201lhOoO 2178+000 2341middot000 2 501000 1400 10gt3+000 1282+000 1487middot000 1683+000 1871middot000 2052+000 2228+000 239q+000 2566+000 2 730+000 1500 1330+000 1552middot000 1761+000 1959+000 2150+000 2334+000 21113+000 C687middot000 2857+000 3 024+000
Page 117
TA8LE 12 (CONTINUED)
S (JMOLE-Ilt)
~ 00600 00640 00650 00700 00750 OOAOO 00900 01000 01100 01200
110
0000 0001 0002 0003 0004
00110middot000 6613-003 1339002 2008-002 2677-002
0000middot00(1 6858_003 1372_002 2057_002 273-002
0000middot000 6899_00 3 1380002 207(1-0022759002
0000000 7096-003 1419002 21 29-002 2838_002
0000000 7285-003 1457_002 2185_002 2914002
0000000 7467-003 1493_002 2240_002 2987_002
0000000 781 4-003 163_002 234-002 3125-002
0000000 -139-003 162111-002 2442-002 3255-002
0000middot000 8447-003 1689-002 2534-002 3319 002
0000000 140-003 1r48-002 2622-002 3496002
0006 0008 0010 0012 0014
4015-002 1113152-002 66118-002 1103-002 1307-002
411 4-002 5484-002 6854-002 8222-002 95d9-002
41311-002 5517-002 6894-002 8271-002 9640-002
42S7-002 5675-002 7092-00 2 8508-002 9923-002
4370-002 5826-002 728 1-002 8735-002 1019-001
4480002 5972-002 7464-002 8954-002 1middot0-4-001
481-002 6249002 7AlII-002 9371-002 1093-001
4A83-002 6510-002 81 36-002 0761-002 11 39001
5067-002 6756-002 8444-002 1013-001 10182-001
5243-002 990-002 8 737002 1048-001 1223-001
0016 0018 0020 0025 0030
1069-001 1202-001 1335_001 1665-001 194 001
1095-001 1232_001 1368_001 1707_001 2045_001
1102-001 1239-001 1376_001 1118-001 2057_001
1134-001 1275-001 1416_001 1767-001 2117-001
1164 001 1309001 1 454 001 1 8 15_001 2174-001
1193-001 1 342-001 1490_001 1861_001 2230-001
1249 _001 10--0011560_001 1948_001 233S 001
1301-001 1463-001 1625_001 2030-001 2433-001
1350-001 1519-001 1 687_001 2107-001 2526-001
1397-001 1572-001 146 001 2181-001 Z615-001
0035 0040 0045 0050 0060
2321-001 2644-001 29t3-00l 3278-001 3892-001
2380-001 2712-001 3040-001 3365-001 3999-001
2394-001 2728-001 3059-001 3386-001 4025-001
2465-001 2809-001 31 51-001 3489-001 -1gt2-001
2532-001 2887-001 3139001 3588-001 4272-001
2597-001 middot2961-001 3323-001 3682-001 4388-001
2720-001 3103-001 34U-00I 3861-001 405-001
20135-001 3235-001 3middot632-001 402111-001 411109-001
2944001 3360-001 3773-001 4185-001 5000-001
3047-001 3478-001 )907001 4334-001 I5181-00
0070 0080 0090 0100 0120
4484-001 5049-001 5589middot001 6104-001 1059-001
4612 001 5199_001 5761-001 6298_001 7298_001
4643-001 5236-001 5803-001 6345middot001 7357-001
4794-001 5412-001 6006-001 6575-001 7639-001
4937-001 5580-001 6199-001 6193-001 7908-01
5075001 5741-001 6383-001 7001-001 8166-001
5334_001 6042_001 672901)1 7393_001 850-001
5575001 6323-001 7051-001 7757-001 9100-001
5801-001 6585-001 7351-001 8096-001 9520-001
6015-001 834-001 70635-001 8 416-001 9 916-001
0140 0160 0180 0200 02S0
7927001 8718-001 441-001 1011000 1157middot000
8210-001 90_2-001 9805-001 10UmiddotOOO 1206000
8218001 9121-001 989-001 1061000 1218 000
8613-001 9506-001 1033000 1109000 1276000
8933-001 9814-001 1014000 1155000 1332000
9239-001 10023middot000 1114000 1199000 1386000
9tH5-00l 1089000 11 9(01121283000 149(000
1035000 152000 12600001362000 588000
1085middot000 1210000 10327000 1-36000 16110-000
1133000 1 265000 1389+000 1506-000 1 168000
0300 0350 0400 0450 0500
1281000 1388_000 14A2middot000 1566 000 143000
1337_000 1450000 1551+000 1640000 1721_000
13510000 1466000 1567000 1658000 1741000
14111000 1sectAoI-0001650000 178000 1836000
1483000 1615000 17JhOOO 1835000 1929000
1546000 1686000 1809_000 1919 000 2020000
1 68000 IA22000 1960000 2083000 21 95000
1782000 1952-000 104000 239000 2363000
1891+000 2016000 2241000 2389+000 2524000
1995000 2195middot000 z37J000 2S34000 2679middot000
0550 0600 0650 0700 0750
1712- 000 1771-000 1836000 1892-000 1946000
1795000 1864000 1927000 1987000 2043000
1816000 1885000 1949middot000 2010000 2067000
1917000 1991+000 2060-000 21Z5middot000 21 86000
201 5000 2094middot000 2168middot000 2237000 2303000
2111000 2195000 2274middot000 2347middot000 2417000
2297000 23910000 2479000 2561000 2638000
2475000 2579000 iI~76middot000 2767000 2852000
2647000 2761000 2867000 2966000 3059000
2amp13middot000 2937000 3 051000 3 159000 3260000
0800 0850 0900 0950 1000
1917-000 2048000 2019000 2151000 22116000
2098-000 2151000 2205+000 2260000 2317000
2123000 2177+000 2231middot000 2287-000 2344000
2245-000 2303-000 2361-0110 2419000 2480000
2366000 2 427000 2488+000 2550000 2614000
2483-000 2548000 2613000 2678-000 2745-000
27tl-00O 278bmiddot00o 2A56+000 2927000 3000-000
934000 3013000 3091000 ~16C100o 3247000
3149000 3235+000 3319000 3403middot000 3488middot000
3357 000 345 0000 3541000 3 631000 3 122000
1100 1200 1300 1400 1500
2328000 2475000 2658+000 2890000 3186000
2444000 2594000 2780000 3015_000 3315000
2472000 2624middot000 2811-000 3047_000 3346000
2614000 2770middot000 2961000 3201000 3503_000
2752000 291 4 000 3109000 3352000 3658+000
2889000 3055-000 3255_000 35010000 3810000
31 55 000 3331000 31J39_000 3792_000 4107000
3413000 3599000 3815-000 -07tmiddotOOO 4396+000
366000 3860middot000 40114000 4352000 4678000
3 909000 4114middot000 4347000 4622-000 4953-000
Page 118
TABU 12 (CONTINUED)
S CJMOLE-K)
01300 01400 01500 01600 01800 02000 02250 0241100 02750 03000~ 11lt1
0000 01100-000 0000-000 0000-000 0000-000 0000-000 0000-000 0000-000 0middot000-000 0000-000 0000-000 0001 9020-003 9288_003 9547-003 9797-003 1027-002 1072-002 1126-002 1177-002 1225-002 1212-002 0002 1804-002 18S8_002 1909-002 1959-002 2055_002 2145_002 225Z_002 235~-002 2450_002 2544-002 0003 2706-002 2786_002 2864_002 2939-002 3082-002 3217-002 3378_002 3530-002 3676-002 3816-002 0004 3608_002 3715_002 3819_002 3919_002 4109_002 4290_002 4t03_002 4707-002 4901_002 50811-002
0006 5411-002 572-002 5728-002 5878-01)2 6164-002 6434-002 6755-002 7060-002 7351-002 7 632-002 0008 7214-002 7429-002 7636-002 7836-002 8lin8-002 8579-002 9006-002 412-002 9801-002 1 018-001 0010 901 7-002 92lt6-002 9545-002 9795-002 1027-001 1072-001 1126-001 11 76-001 1225-001 1272-001 0middot012 1middot082-0n1 1middot114-001 1145-001 11 75-001 1232-001 1287-001 1351-001 1412-001 147 0-001 lmiddot526-001 0014 1262-001 1300-001 1336-001 1371-001 1 438-001 1501-001 1576-001 1647-001 1715-001 1 78O-OOt
0016 1442-001 1485-001 1527-001 1567-001 1643-001 1715-001 11101-001 882-001 1960-001 2035-001 0018 162-001 1670-001 111 1-001 1762-001 18U-00I 1929-001 2026_001 2117-001 2205-001 2 289-001 0020 1802-001 1856_001 1908-001 1958-001 2053-001 2143_001 2 2~1)-001 2352-001 2 449_001 2 543-001 0025 2251-001 23I8-001 2383-001 2446-001 2565-001 2678-001 21112-001 2939-001 3061-001 3178-001 0030 2699_001 27~0-001 2858_001 2933-001 3017_001 3213_001 3373 _001 3526-001 3672-001 312-001
0035 3146-001 3241-001 3332-001 34Z0-001 3587-001 3746-001 3934-001 4112001 4282-001 4 446-001 01140 3591 - 001 3700-001 3804-001 3905-001 4091-001 4278-001 4493-001 4697-001 4892-001 5 079- 0n 0045 4035-0111 4157-001 4275-001 4389-001 4605-001 4809-001 5051-0nl 528-001 5501-001 5712-001 0050 4477-001 4613-001 4744-001 4871-001 5112-0111 5339-001 5609-001 5A64-001 6108-001 6 343-001 0middot060 h 33-01l 1 551 8001 5677-0111 58Z9-001 6120-001 6394-001 671 9-001 7026-001 7320-001 7 tl 03-001
0070 6218-001 6413-001 6599_001 6779-001 7120001 7442-001 7822_0111 8182-001 8526-001 8857-001 0080 709-001 7294_001 7509-001 7717-001 8110-001 8481-001 891 8OII 9331-001 9726-001 1 010000 0090 7903-001 8160-00 8405_001 8641-001 9088-001 9508_001 1000000 1047- 000 1092000 1135-000 0100 8719_001 9008_001 9284-001 9549-001 1005000 1052000 1108_000 1160middot000 1210-000 125hOOO 0120 1029000 1065000 1099000 1131+000 1193_000 125000 131 8000 i382middot000 1 443_000 1 501+000
01 40 1177+000 1220middot000 1261-000 1300middot000 1373+000 1442000 1523000 l59A-000 1670-000 1 139000 0160 1317middot000 1367middot000 1414middot000 1460middot000 1546-000 1626middot000 1720-000 1808middot000 1891+000 1971-000 0180 1449+000 1505-000 1560000 1612-000 1710000 1802-000 1909000 2010-000 2105middot000 2196middot000 0200 1572middot000 1636middot000 1697-000 1755-000 186hOOO 1969+000 209000(1 2204middot000 2311-000 2414-000 0250 1852middot000 1932-000 2009000 2083middot000 22Z4000 2356middot000 Zt1 hooo 265middot000 2794-000 2 926-000
0300 2095-000 2190middot000 2283000 2372middot000 2541-000 2700-000 2888000 306-000 3232+000 3392-000 0350 2309-000 2419_000 2 1 525000 2 162811110 2823000 300e-ooo 3221_0110 3433-000 3630-000 3U+000 0400 2500middot000 26Z3_000 2742+000 2857+000 3 1 017000 3286000 3534 _000 ~769-000 3992000 4206middot000 0450 2673000 2808_000 2938000 3065_000 3308_000 l539_000 381 4000 4075+000 4324+000 4 563000 0500 2830000 2976_000 311 7_000 3254+000 3519_000 377hOOO 4071 0110 4356-000 4630_000 1193000
0550 2974+000 3130-000 3281middot000 34Z9middot000 37I3-000 3984+000 4308_000 4jI17-000 4913middot000 5198-000 0600 3101middot000 3middot272+000 3433000 3590+000 3892+000 4182-000 4528000 459-000 5176middot000 15483+000 0650 3231middot000 3405+000 3574middot000 3740000 4060000 4366middot000 4733000 50 084middot000 5422-000 5 749-000 0700 3346+000 3529000 3707-000 3880middot000 4216000 4539middot000 4925000 5296000 5653-000 5999000 0750 3456+000 3middot646-000 3832-000 4013middot000 4364+000 4702-00n 5107000 549j1-000 5871-000 6235-000
0800 360middot000 3757_000 3950middot000 41 39-010 4504000 4856-000 5279+000 586-000 6078middot000 6459000 0850 360-000 3864-000 4064-000 4260+000 4639middot000 5004-000 5444middot000 51116-000 6276-000 _6 612-000 0900 3757000 3968000 4175+000 4377+000 4169000 5147_000 502_000 6041+000 6 465-000 6 877000 0950 3854000 4011000 4283-000 4491-000 4896000 5286+000 5756000 6210+000 6649_000 7 075000 1000 3950-000 173000 4391_000 4605-000 5021_000 5423000 5901000 375000 6828000 7 268_000
1100 414hooo 382middot000 4611-000 4836middot000 5272middot000 5695-000 620S+000 6699-000 7177+000 7 643000 1200 43~2middot000 4606-000 4844-000 5078-000 5534-000 5975000 6508000 702middot000 7526-000 8 01 4-000 1300 4604-000 4855+000 5102-000 5344-000 5816+000 6273middot000 61127middot000 7363-000 7884middot000 13392-000 l400 4886-000 5144-000 5398middot000 5647middot000 6133-000 6604-000 7174+000 772emiddot000 8266middot000 13191-000 1500 5223middot000 548hOOO 5746middot000 6001middot000 6498-000 6980-000 7565-000 81 32000 8684middot000 9223000
Page 119
TABLE 13
THE ENTHALPY AND EXCESS ENTHALPy OF THE TOTAL HE3 - HE4 SOLUTyON
X bull 00001 X bull 00002 X bull 00005 It bull 00010 X bull 00020
T -H HE -H HE -H HE -H Hp -H HE IKI (JMOLE) IJMOLEI IJMOLEI (JMOL1 IJMOLEI IJMOIEI IJMOLpoundI fJMOIEI IJMOLEI IJMOLEI
0000 0001 0002 0003
3905631 3905631 3905631 3905630
-000021 -000021 _000021 -000021
3905261 3905261 3905261 3905261
-000042 -000042 -000042 -000042
3904151 3904151 3904150 3904150
-000104 -000104 _000103 -000103
3902297 39112297 3902296 3902296
000203 -000203 _000 202 _000 202
3898580 3898580 3898579 38 98579
_000392 _000392 000391 _000391
0004 3903610 _000021 3905260 -000042 3904150 _000103 3902296 _0 00202 38 985711 _000390
0006 3905630 -000021 3905260 -0110041 3904149 -000102 3902294 -000200 3898576 _000388 0008 0010 0012 0014
3905630 3905630 3905629 3905629
-000020 -000020 -000020 -000020
3905260 3905259 39 05259 3905258
-00004i -000040 -000040 -000039
3904148 3904147 3904146 3904145
-000101 -000100 -000099 -000098
3911229 39(12291 3902289 39CI2287
-00199 _000197 -000195 _000193
3898574 ~89851l 38 bull98567 3898561+
_000386 _000383 _000l80 000376
0016 3905629 -000019 3905258 -000039 3904143 -000097 3902284 -000191 3898560 _000313 0018 0020
3905629 3905628
-000019 -000019
3905257 3905257
middot000038 -00003$
3904142 3904141
-000095 000094
3902282 3902280
000189 -000186
3898556 3898552
_000369 _000365
0025 3905628 -000018 3905255 -000037 3904138 -000091 3902274 000181 3898541 000355 0030 3905627 -000018 3905254 -0110036 3904135 middot000089 390228 _000115 3898530 _000344
0035 3905627 -000017 3905253 middot000034 3904132 -000086 39022(12 middot000170 38 9851 9 _000333 0040 3905626 middot000011 3905252 -000033 3904129 -000083 3902216 000164 3898507 000323 0045 3905625 middot000016 3905250 -000032 39 04126 middot000080 3902210 -000159 3898495 0middot00312 0050 3905625 -000016 3905249 -000031 3904123 -000077 3902244 000153 3898483 000301 0060 3905623 -000014 3905247 -000029 39 04117 middot000072 3902232 -000142 3898459 _0middot00280
0070 3905622 -000013 3905244 -000027 3904110 -000066 3902220 -000131 3898435 000258 0080 0090
3905621 3905620
-000012 000011
3905242 3905239
-000024 -000022
39 04104 3904098
-000061 _000055
39112207 3902195
_000120 000110
38 98411 38 98387
000237
0002 16 0100 39056 18 -000010 3905237 -0110020 3904092 middot000050 39021A3 -000099 3898362 000195 0120 3905616 -000008 3905231 -000016 3904079 -000039 39112118 000078 3898313 000153
011+0 3905613 -00006 3905226 -000012 3904066 middot000029 3902132 000058 3898263 000113 0160 3905610 middot000n04 39115221 -000001l 3904053 -000019 3902107 000038 1898213 000073 0110 0200 0250
3905606 3905603 3905592
-000002 000000 000005
39 05215 39(15209 3905191
middot000004 000000 000010
3904040 39 04026 39 03990
middot000009 000001 000025
3fh020lH 3902055 3901 988
000018 000002 000050
3898163 38 bull98112 3897983
000034 0middot00005 000101
0300 3905577 000010 3905110 000019 3903951 000049 3901 9 19 000097 38 97850 000196 0350 3905557 00001 4 39115144 000029 3903906 000072 3901841 000 145 3191712 000291 0400 3905529 000019 3905110 000031 3903853 000096 3901157 000191 3897566 000384 0450 0500
3905491 3905441
000024 000028
3905066 3905009
000047 000057
3903790 3903115
000119 000142
3bullbull01664 3bullbull 015i1
000238 000284
3897410 3897242
000416 000568
0550 3905375 000033 39 04938 000066 3903625 0001 64 3901 436 000329 3891058 000659 0600 0650 07BO 01 0
3905291 3905181 3905927 3904 99
000037 000042 000046 000051
3904848 3904731 39 04571 39 04336
000075 000084 000093 000101
3903516 39 03381 39 03202 3902949
000187 000209 000232 000254
390126 3901130 39 09203900636
000374 000419 000463 000507
3896856 3896628 38 bull96356 38 bull96009
000749 000839 000927 0middot01015
0800 3904446 000055 3903978 000110 3902511 000275 3900227 000551 3195539 001102 0850 0900 0950 1000
3903900 3903065 3901826 3900046
000059 000064 000068 000072
3903425 3902584 3901339 3899553
000119 000127 000136 000144
3902000 3901141 3899871 3898073
000297 000318 000339 000360
3899625 3898735 3197441 3895601
000594 000636 000611 000720
3894815 3893923 3192569 3890613
001188 001273 001357 001 440
1100 31942)5 000080 3893710 000160 3892195 000401 31189669 000801 3884611 001603 1200 1300
3184068 3867610
000088 000096
3883551 3867012
000116 000191
3882002 31 65500
000440 000478
39 79418 3162863
0Dn880 000955
3874252 38 57588
001160 001 911
1400 1500
3842097 3804138
000103 000110
38 bull 41559 3803592
000206 000219
3839947 3801954
000514 000548
3837260 37 99224
001 028 001 096
38 31887 3793163
002055 002193
Page 120
TABLE 13 (CONTINUEO
l( bull 00030 X bull 10040 X bull 00050 X bull 0060 )( 00080
T bull lot HE -H HE -H HE -H HF -H HE (K (JMOL) (JMOEI IJMOLE) (JMOLE) (JMOLEI (JMOLE) (lMOE IJMOLE) IJMOLEI tJMOLE)
0000 0001 0002 0003 0004
38948l2 3894852 38948l2 3894851 3894850
-000570 -000570 -000570 _000569 000568
3891116 3891116 3891116 3891115 389 111 4
-0bull 00740 -000740 -000740 -000739 -0007311
38117372 3887372 3887372 3887371 3887370
-000902 -000902 -000902 -000901 -000900
3883622 3883621 31=1 83621 38 83620 3A83619
_001058 -001058 00)05700056 _001055
876101 3876101 3876101 38 76101 38 76099
_001349 _001349 _001349 001 348 _001 347
0006 3894848 -000566 3891112 -000736 3887367 -000898 3883616 -001053 3876096 _001J44 0008 0middot010 0012 0014
3894845 3894841 3894837 38 94832
-000563 -000560 -000556 -000551
3891108 38 91104 3891099 38H093
-000732 -000728 -000724 -010718
3887364 3887359 3887353 3887347
-000A94 -000890 -000884 -000878
31113612 3883607 3A83601 31i83594
-001 049 -001044 -001038 _001032
3876091 3876085 3876079 3876071
001340 -0middot01334 _deg01 328 _001321
0016 3894827 middot000546 3891087 -000712 3887340 -000872 38835A7 001024 3876062 001 312 0018 0020
3894822 3894816
-000541 -000536
3891081 3891074
-010706 -010700
3887332 3887324
-000864 -000857
3A83578 3A83569
-001016 -001008
3876052 38 76041
_001303 0 middot01293
0025 0030
3894801 3894785
-000521 -000507
38 bull91055 38bull91035
-0006112 -000663
38bull 87302 3887279
-000836 middot000814
38 83544 3Abull 1I3517
-000985 -000959
38 76011 3875978
-0middot01265 _0middot01234
0035 3894769 -000491 389101 4 -000644 3887253 -000791 38834118 -000932 3875942 001201 0040 0045 0050 0060
38947~2 3894735 38947 18 3894683
000476
000460 _000444 000413
3890992 38 bull90970 3890948 3890902
-000624 000603 middot000583 000542
3887227 38 87200 3887173 38 8711 6
-000767 _000742 000717 _000666
3883457 3883426 3883394 3883327
000904
000876 _000847 _00(1787
3875904 ~875864 38 75823 38 75737
001166
001130 _001093 _001018
0070 3894647 -000381 3890855 -000500 3887059 -000616 38 tl 3259 -000 727 38 75649 _000940 0080 0090 0100 0120
3894611 3894575 3894538 3894465
-000350 -000318 -000287 -000226
3890807 3890760 38 bull90711 38 bull90614
-000459 middot000418 middot000377 000296
3887000 3886941 38 86881 3886761
-000565 000514 middot0middot00463 -000363
38 tl3190 3883120 38 83049 38 tl2905
-000667 -000607 -000546 -000427
3875559 38 75467 3875374 38 75186
_000862 000783 000705 000548
0140 3894391 middot000166 3890516 middota00216 3886639 middot000263 3882760 -000309 3874995 000392 0160 0180 0200 0250
3894317 3894242 3894167 3893976
middot000106 _000047
000011 000155
3890418 389031 9 389021 9 38 89968
000137 -000059
000019 000210
3886517 3886394 3886270 3885958
middot000165 -000068
000028 000266
3882614 3tl 82467 38 82319 3881946
-000192 000076
000039 000324
3874802 3874607 3874412 38 73918
_000238 000085
000067 000444
0300 3893782 000297 3889712 000399 3885640 000502 3881567 000606 3873418 000819 0350 0400 0450 0500
3893581 31193313 3893156 3892925
000438 000577 000116 000854
3889450 38 bull89180 38 bull88900 3888608
000586 000172 000957 001140
3885317 38bull84985 38 84644 3884289
000736 000968 001198 001427
38~113 3F1 bull807A9 3Abull tl 03A6 3A79970
000886 001165 001 44 1 001 715
38 72911 38 72395 38 bull 71869 38 71330
001191 001561 001928 002Z9J
0550 389Z679 000990 3888300 001321 3883920 001654 3879539 001 9S7 38 70775 002654 0600 0650
3892415 3892125
001125 001259
3887974 38876Z1
0015(11 001680
3883532 3883117
001878 002101
3879089 3A78613
002256 0025Z3
3870202 3869602
003013 003369
0700 0750
3891791 3891382
001392 001523
3887225 3886755
001857 002032
3882659 3882127
002322 002542
3878093 311117499
002789 003051
3868958 38 68241
003722 004072
0800 3890850 001654 3886161 002206 3881471 002758 3876781 003311 3867400 004418 0850 3890114 001783 3885373 002378 38 80622 002973 3875870 003569 38 66366 004761 0900 3889111 001910 38 tl4299 00254A 3879487 003186 3874674 003824 3865047 0middot05101 0950 1000
3887696 3885740
002036 002161
38 bull82822 38 bull80806
00276 002882
3877949 3875872
003395 003603
3873075 3870938
004075 004324
3863326 3861069
005436 005767
1100 3879565 002404 3814512 003206 38 69460 004008 3864407 004810 38 54301 006415 1200 1300
386901115 3852313
002640 002867
386391 8 3847038
003520 003822
3858751 3841763
004401 004718
3853584 3836488
005281 005734
3843Z511 38 25938
007043 007646
1400 3826513 003083 3821139 004111 3815765 005140 31110391 006168 3799642 008Z24 1500 37883n3 003289 3782842 004386 3777381 005483 3771 921 006579 3161000 008772
Page lZ1
TABL~ 13 (CONTINUED)
X bull 00100 I( bull 00150 )( bull 00200 )( bull 0n20 l( bull 00300
T -M HE -H HE -M HE -101 HE -H HE 11(1 IJMOLI) (JMOLEI IJMOLll IJMOLEI IJMOLE) IJMOLEI IJMOLrO IJMOLEI IJMOLEI IJMOLEI
0000 386A5118 -001f18 3849616 -00~2011 3830572 middot002692 31111442 00092 3792236 003416 0001 386851118 001618 3849616 -002206 3830572 -002692 3811441 middot001091 H 92236 003416 0002 0003
3868558 386ASo7
_001611t 001617
38 bull 4961b 38 49615
-00220 -002205
38 30571 3830570
-002691 -002690
3A11441 3811 4 3C1
_00)091 00309 0
]79223J 379i234
003416 _003414
0004 38685136 -001616 849613 middot002204 383069 -002689 3811 438 003088 3792232 0034 13
0006 386852 -001613 middot1849609 -002200 JIt3056 -002685 3811433 -00]084 H 92227 003408 0008 0010
3868547 3868541
middotOOlMIt -001602
]849604 3849596
-002195 -0021111
3830558 3830550
-002679 -002672
38114iJ6 38 11 417
-003078 middot003070
37 bull 92220 3792211
003402
0middot03394 0012 0014
3868534 3868525
001595 -0015ti7
3849588 38 bull 49577
middot002180 -1102171
38 30540 38 30529
middot0middot02664 -002653
3Amiddot11 407 38 113C14
-003061 -003 050
37921 9 3792186
003385 _003373
0016 3868515 middot001578 3849566 -0Cl2160 3830516 middot002642 3A1130 _003038 3792171 _003360 0018 0020 0025
3868504 38611492 3868458
-001568 _001557 001526
3849553 31t49538 384949b
-0U2149 0 02135 -0112098
3830501 3830484 3830437
-002629 _00261 4 002572
3811364 3811346 3111294
003024
003008 _002962
3792153 3792134 3792078
003345 _003329 003280
0030 3868420 0111490 3849448 002054 3830380 002522 311111231 _002908 3792111 0 003222
0035 38611371 -001452 3849393 middot002005 3830316 middot0024b5 3811159 _002845 37 91931 003154 0040 0045
3868332 386112A5
-001411 -001368
38 49334 3849270
-001952 -001895
38302116 3830169
-002403 -002336
3111111179 3~10992
-002175 -00700
3791843 3791746
_00]079 _002996
0050 3868236 -001324 3849203 middot001836 3830088 -002264 3810898 -0026 19 3791642 -002907 0060 3868133 middot001233 849062 -001 712 38 29912 -002113 3AI0694 -002444 3791 4 12 -002713
0070 386806 -001139 3848912 -001582 3829725 -001952 3810472 middot00256 3791161 002501 0080 38679 16 -001044 3848755 -001448 3829527 -001784 3810238 002059 3790892 002278 0090 0100 0120
3867803 3867689 3867457
middot000948 -000852 00065
3848595 3848430 3848093
-001312 -001174 000897
3829322 3829111 3828676
-001612 -001437 -0010
3A0999 31109738 311119211
-0Oi854 middot0Oj645 001 217
379060 3790315 3789701
002044
001804
001308
0140 3867220 -000467 3847748 -000618 3828228 -000721 3A08664 000780 ]71190611 000799 0160 3866981 middot000117 3847398 -000340 3827170 middot000359 311 08103 -000339 3788401 000283 0180 3866740 -000087 3847043 -00001 3827306 000004 3A07533 000104 37 87127 000238 0200 0250
3866498 38658115
000102 000570
3846685 38 45779
000216 000908
3826836 38256113
000367 001275
38116904 3805481
00550 001 669
37 117042 37bull 85295
000163 002086
0300 38652l4 001036 3844860 001598 3824431 002185 303981 002794 3783512 003421 0350 0400 0450
3864636 3863998 3863349
001499 001960 0Ol418
3843931 3842990 3842037
002287 002974 003656
3823205 3821965 3820710
003096 004004 004909
31102462 3A0095 37 99371
003922 000049 0011173
37111103 37 79873 3778023
004763 006106 007447
0500 38626117 002873 3841069 004335 3819439 005809 37 ~n800 007292 3776153 008783
0550 31162009 003324 3840085 005008 3818151 006703 37 96209 008405 37 74262 0010113 0600 0(51) 0700 0750
3861312 38605119 3859823 3858982
003772 004217 004657 005094
3839082 3838052 3836977 3835829
0115678 006342 007000 007654
3816843 38 15507 38 14127 38 12672
00759 1 008474 00 9349 010218
3794597 37 929S7 3791272 37 895J3
009511 0106 10 011 701 012784
3772348 3770406 37 6841 7 376635
011435 012749 014054 015349
01300 3858Gl8 005527 3834558 008301 3811095 011078 3187631 013857 37 64169 016634 0850 0900 0950
3856861 3855419 3853577
005955 006379 006798
3833095 38 31348 3829203
008942 009576 010203
3809327 3807276 3804828
011931 012714 013609
3755C9 37 83204 378 0455
014920 015972 017012
3761 793 37 59136 3756085
017906 019166 020412
1000 3851199 007211 3826524 010822 3801849 014432 3777176 01111040 3752509 021643
10 100 3844194 008021 38 189Z8 012034 3793664 016046 37 68404 020053 3743150 024055 1200 10300
38329 15 38153A8
008804 009559
38070eo 37bull8901
0132011 014337
3781247 37 62644
017608 0019112
3155420 37362110
022003 02388 0
3729600 3709925
026390 028639
1400 1500
3788895 3750079
0010280 010965
37 egt2027 37 22780
0154111 016444
3735165 3695487
020550 0219 17
3708310 36 68202
025675 027381
3681 464 3640927
030 79 1 032836
Page 122
TABlF 13 (CONTINUED)
X bull 00350 X bull 00400 X bull 00450 )( bull 0middotn500 )( bull 0middot05S0
T -H HE middotH HE middotH HE H HE middotH HE (K ~JMOLI) JMOLEI (JMOLE) ~JMOLE) IJMOLEI (JMOLEI (JMOUI IJMOLE (JIoIOLf) I JMOlEI
0000 3772966 -003676 3753637 middot003877 37 3U57 middot004027 37 h8JO 004130 J695360 004190 0001 0002
3772966 3772965
003676
003675 37gt3637 3753636
middot003877 0deg3876
3734257 3734256
004027 -004026
3714829 37 14828
004129 004129
1695360 36 bull95359
004190
004189 0003 0004
377293 3772962
_003674 003672
37 53635 3753633
-003875 -003874
3734254 3734252
-004025 -004023
3714827 37 1482)
-004127 004U6
36 95357 ]69535S
004188
004186
0006 3772956 -003668 37gt3627 middot003869 3734246 -004018 3714818 004121 3695348 _004181 0008 0010 0012 0014
3772948 3772939 3772927 3772913
-003661 -003653 middot003643 003631
375361 9 3753609 3753596 3753581
-003862 -003854 -003843 middot003831
3734238 3734227 3734214 37 34198
-004011 -004002 -003992 -003979
37148O 3714798 3714785 3714768
_004114 -004104 004093 004080
3695339 3695328 3695313 ]695297
_004174 _0middot04164 _004153 0middot04140
0016 3772896 -003617 3753564 n03811 3734180 -003964 37h700 -004065 3695277 _004125 0018 0020
3772878 3772857
-003602 -003584
3753545 3753523
003801 -003783
3734160 3734137
-003948 -003929
37147f 9 37 14705
-004048 -004029
369525S 3695231
004107
004088 0025 0030
3772797 3772725
003533
003472 37gt3460 3753383
003730 -003666
3734071 3733990
-003875 -003808
3714636 3714552
_003973 -0OJ905
369515 3695072
004030 _003960
0035 3772641 -003401 3753294 -003591 3733897 -003731 3714404 _003826 3694cJ70 003879 0040 3772546 -003321 3753193 -003507 3733790 -003643 3714342 -003735 3694853 _003785 0045 0050
3772441 3772326
-003232 -003136
3753080 37 gt2958
-003413 middot003311
3733671 3733541
-003546 -003439
3714217 37h080
-00]633003522
3694722 3694579
_0middot03680 _00356sect
0060 3772075 -002925 3752686 -003086 3733250 middot003200 3713772 -003272 3694256 _003306
0070 3771796 -002693 3752383 -002836 3732924 002935 3713426 002993 3693890 003014 0080 0090 0100 0120
3771496 3771179 3770847 3770150
-002446 -002186 -001917 _001359
n52054 3751704 3751338 3750563
-002568 -002284 -001 98q -001372
3732569 3732190 3731790 3730941
-002647 -002342 002023 001352
3713046 3712638 3712207 37112e8
-002688 _002363 -002021 -00300
3693487 369305J 3692593 3691607
_002693 _002350 _001 988 _001219
0140 37 69420 -000783 3749747 -0U0732 3730043 -000651 3710311 _000543 l69055J _000408 0160 3768665 -000195 3748900 -000076 3729107 000069 37U9290 000240 1689449 000434 01 80 0200 0250
3767892 37 67104 3765089
000401 001002 002524
3748030 3747142 3744863
000 59 1 001266 0029A l
3728143 3727157 3724621
000805 001552 003454
37U823sect 3707103 3704365
001041 001 857 003942
36M306 3687131 3684095
001298 002181 0middot04444
0300 3763027 004065 3742527 004723 3722015 005394 37014q2 006075 3680959 006766 0350 3760932 005617 3740150 006482 3719359 007356 3gt8560 00823M 3677755 009125 0400 0450 0500
3758811 3756667 3754500
007173 008729 010279
3737741 )735305 3732844
008249 010016 011779
3716665 3713940 3711186
009330 011307 013281
31955~4 312572 3~89528
010416 012600 014783
3674500 367120] 3667871
011506 013895 016284
0550 3752311 011824 3730358 013537 3708405 015250 386454 016962 3664505 018671 0600 0650 0700 0750
37 50097 3747853 3745563 3743197
013361 014888 016406 017913
3727846 3725303 3722711 3720044
015286 017027 018756 020474
370sect596 3702754 3699864 3696896
017211 01 9 162 021102 023029
318330 36t0210 31701 36 73704
019132 02 293 023442 025577
36 61107 3657b7c 3654185 3650620
021050 023419 025776 028119
0800 3740709 019408 37172sect4 0 22177 3693805 024941 370364 027697 3646931 030444 0850 3738031 020889 3714274 0 23866 3690525 026837 3666784 029798 3643052 032751 0900 3735072 022356 3711015 025539 3686966 028714 3662926 031 88 0 36 38t96 035036 0950 1000
3731722 3727847
023807 025240
3707366 3703194
0 27194 028828
3683018 3678550
030572 032408
3658680 36 53917
033940 035976
36343sect 3629296
037298 039533
1100 3717903 028048 3692666 0l2033 3667440 036006 3142225 03q96A 3617024 043917 1200 1300
3703789 36fI3S80
030769 033389
3677988 3657246
035137 03812A
3652199 3630925
039494 042853
3126423 360461A
043837 047565
3600662 3578326
0middot48166 052261
1400 10500
3654629 361364
035897 038279
3627806 35 1f6414
0 40989 04370q
3600997 35 59179
046068 049124
35 74204 3531 960
051132 054523
3547426 3504757
056181 059906
Page 123
TA8LE 13 (CONTINUEDI
l( bull 00600 )( bull 00640 )( bull 00650 )( bull 0117(10 )( bull 00750
T (Kl
middotH (JMOL1
tolE (JMOLEI
middot101 (JHOLEI
HE (JMOLEI
middot101 (JMOLEI
HE (JHOLEI
11 (JHOLF1
HI (JMOLEI
104 (JMOLE)
1111 tJMOLEI
0000 0001 0002 0003 0004
]675852 3675852 3675851 3675849 3675847
004212
004212
004211
004i110
004208
]660221 ]660220 36b021 9 3660218 36b0215
middot004205 middot004204 -0042n4 middot004202 -004201
]656310 36 56309 36 56308 3656306 3b 56304
004200 -004199 004199 004197 _004195
36 3671i 36 3675 3636734 3636732 36 36730
004155
004155
004154
004153
004151
HlI7133 ]61713Z 3617131 ]61712 617127
004083
004082
004082 _004080 004078
0006 0008 0010 0012 0014
3675840 3675831 3675819 36758 04 3675787
-004203 -004196 -0041 8 6 -004175 -004161
36deg0208 3660199 1660186 600171 3660154
middot004195 middot004188 middot004178 -0114167 -004153
3656297 365628S 3656275 3656260 36 56242
-004190 -004183 -004173 -004162 -004148
3636723 36$67 13 3636700 3636684 3136666
004146
00138 -004129 -004117 -004103
36 17120 3617109 3617096 3617080 3617061
004073 _004065 _004056 _004044 _0middot04029
0016 0018 0020 0025 0030
3675717 3675744 3675719 3675644 36 75554
-004145 004128 -00410B -004049 003978
3660133 3660110 3660084 ]660008 ]659911
-004137 middot004119 middot004099 -0114040 003967
3656222 3656198 3656172 3656095 3656002
middot004132 00411 4 -004094 middot004034 -0D3901
3636645 3136621 3636594 36 36515 31364 19
-004087 004068 004048 00]987 _00]914
3617040 3617015 36 16i88 36169 06 3616807
004013
003995
003974 _003912 _003837
0035 0040 0045 0050 0060
]675448 ]675327 36751 9 1 ]675042]6747 04
-003894 -003798 -003691 -003572 -003304
3659806 ]6I9682 3659542 3659388 3659 039
-003882 -003784 middot003675 -003554 -003280
3655892 3655767 3655627 3655471 3655120
middot003876 -003778 -003668 -003546 -003270
3636306 3t-36177 3636~]1 3635871 31)55(17
_003826 -003727 00]614 middot00]490 -003207
3616691 36165511 3616409 3616243 3615867
_00]749 _003647 -0middot035]] _0middot03406 -00]U7
0070 0080 0090 0100 0120
]6743i0 3673896 36734~7 ]6 7 2948 36 7 1899
-003000 -002666 002306 001925 -001113
3658641 3658201 1657723 3657214 165611 5
-002967 ~01I2623 -0112251 -001855 -001009
3654719 3654274 3653792 3653217 36 5UM
-002956 -002609 -002234 0011135 _00098 1
3635090 3634626 31341~1 36$35S1 332412
-002884 002525 _002136 -0017c1 _0On 828
3615434 3614953 3614427 3613863 3612637
002785 _0024 16 002014 _001583 000654
0140 0160 01 80 0200 0250
3670772 36695138 36613358 3667093 3663814
-000250 000648 001574 002520 004956
3654932 3653685 3652388 3651051 3647581
middot0001011 0(10834 (101 81)6 002803 005314
36 50970 3649707 3648394 3647040 3643522
-000070 000882 001 866 002875 005479
3631147 36 Z98 10 36 l84 1i 326974 36u~3222
0On129 001133 002173 003242 006011
611307 3609896 360842Z 36 06896 36029 15
000346 001399 002494 00]6210middot06549
0300 0350 0400 0450 0500
36604 19 3656946 36534 14 3649835 3646215
007464 010018 012597 0151 89 011784
3643983 36middot0296 3636544 36 32741 ]628893
008027 010734 013471 016223 018981
3639873 363613] 3632327 3628467 3624563
008169 010 913 013689 016482 019280
3119322 315319 3111240 3117103 3602916
0011878 011 8 11 014781 017172 020171
3598766 3594503 3590155 3585741 3581273
009592 012 109 011172 019059 022258
0550 0600 0650 0700 0750
3642560 3638869 3635139 3631357 3627495
020376 022962 025539 028 102 030651
3625007 36 21083 361711 9 3613101 36 09 002
021737 024488 027229 029957 0 32670
36 206 19 3616638 3612615 3608538 36 04379
022017 024868 027650 030420 033173
31)986115 35 9441 3090099 3085728 3SIJ1275
02171 026767 029753 032727 035685
35767511 3572198 3567593 356292i 3558 182
0middot25459 02Sb57 031 15 47 0middot]5024 038 185
0800 0850 0900 0950 1000
3623508 3619331 361878 36100]9 3604617
033182 035692 038180 0 40643 043071
3604177 3600363 35i5672 3590597 3585010
035364 038037 0 40687 0 43309 0 45903
3600096 3595622 3590872 3585738 3580092
035908 038622 041312 043975 046607
35 76695 3071 925 35b68S0 3obI451 3555512
038624 04 1540 044430 047293 050123
3553307 3548242 1542901 3537179 3530948
041326 04444 047535 050595 053622
10100 1200 1300 1400 1500
35 9 1837 35149 15 355201 3520665 3477572
047851 052480 056941 061212 065271
357698 3554330 3531042 3499269 3455838
050988 0 55920 0 60673 0 65223 0 69549
3566664 3549185 3525792 3493922 3450406
051771 056778 061604 066225 070617
35 4 15 08 35 23472 3499502 3407198 3bullbull c32C9
055674 061059 066249 0 7 1219 075943
3516369 3497716 3473330 3440494 3396133
0middot59561 065322 070875 0 761 93 08149
Page 124
TABLE )3 (CONTINUED
l( bull 00800 X bull 00900 X bull 01000 X 0100 X bull 01200
T -H HE -H HE -101 F -p ME _101 ME (1lt) (JMOLFI JMOlE) (JMOlE (jMOLE IJMOLE IJMOLEI (JMOL (JMOLE IJMOLE IJMOLEI
0000 35 975(14 middot003984 3558178 middot00371R 3518774 middot003374 3479308 002968 3439792 _00~512
0001 0002 0003 000 4
359750 4 35 975 02 35 975nl 35 97498
middot003984 003983 003981 _003980
3558177 3558176 3558174 3558171
middot003717 -0037 17 -003715 -0U3713
3518773 35 18772 3518770 3518767
middot003374 003373 003371 003369
3479307 3479306 3479304 34 79301
002967
002967
002965
002963
34 39792 )43979( ~43978l1 34 39785
002512
002511 _002~10 002508
0006 3597490 middot003974 355EH64 -00370R 3518759 -003364 34 79292 -002957 34 39777 0middot02502 0008 0010 0012 0014
3097480 35 97467 3597450 35 974~1
-003966 -003957 -003944 -003930
3558153 3558139 3558121 35 58101
-003700 -003690 -0113677 -0113663
3518748 3518733 3518715 3518694
-003356 middot003346 -003333 -003318
3479281 3479215 3479247 3479225
middotU02949 -002939 -002926 -0029 11
l43976 )439749 34 39729 3439707
002494 _00lt483 -0middot0~411 002456
0016 35 97409 -003914 3558078 -003646 3518670 -003301 34 79260 002894 34 39681 _deg02438 0018 0020 0025 0030
359 73R3 3597305 35 97272 359 7170
-003895 _003874 _003812 -003736
3558051 3558022 3557934 l557828
-0113627 -003605 -003542 middot003464
3518642 3518611 35 18520 35 18410
-003282 -003260 003195 003116
3479171 3479139 34(9045 3418929
-00(1874 -002852 002787 -002707
3439651 34 396 18 3439520 34 39401
_002418 _0023Y6 _002330 002249
0middot035 3597051 middot003646 3557703 -003372 3518279 -003023 34 78794 -0026 12 34 39260 _002152 0040 35969 14 -003543 3557559 -003267 3518129 -002915 34 786 38 -002502 34390915 _002041 0045 0050 0middot060
3096760 3596590 35 96202
-003426 -003297 -003003
3557398 3557218 3556809
-003147 -003014 middot002709
3517960 3517772 3517343
-002793 -002656 -002344
34 784102 ]47826 34778 18
-00378 -002239 -001 9 19
34389 10 3438713 3438248
-001 9 15 ~001774 _001449
0070 35 917o6 -002663 3556336 -002357 3516845 001980 3477298 _001 546 34 37706 _001067 0080 0090 0100 (l120
3595256 35 947 11 35 9413 3592844
-002284 0011170 001425 -000462
3555804 3555221 3554590 35)3209
-0111960 -001525 -001055 -000030
3516284 3515666 3514995 3513519
-001568 -001115 000623
000458
3476709 34 76059 34 75351 34737A7
-001122 000052 -000141
000988
34 37092 34 36411 34 35669 34 34021
_000633 000150
000378 001552
01 40 3591451 000579 3551696 001088 3511893 001644 347204 002237 3432188 0028~7
0160 3389969 001680 3550078 002277 3510147 002914 34701R6 003582 3430203 004270 01 80 0200 0250
35684]1 35 86808 3582602
002826 004010 007094
35 48376 3546607 3541961
~ 004S14 008198
3508303 3506380 -3501309
0middot04252 005644 0~09313
34 b8206 34 661 35 3460653
005004 00492 010432
34 28 093 3425880 34 20001
005772 0middot07349 ~1l547
0300 3578208 010308 1537088 011745 ]495969 013181 3454858 0146 08 3413762 016021 0350 0400 0450
3573687 3369072 3564385
013608 016960 02031+1
3532060 352691 8 3521688
015401 019125 0 228119
3490444 3484784 3479020
017182 021269 025409
3448846 34+2677 34363116
0lR946 023387 027894
3407273 3400612 3393791
020685 025472 030339
0500 3559637 023738 3516387 026676 3473172 029578 34ii9997 032441 3386869 035257
0550 3554838 02739 35 11025 030472 3467254 033764 3423529 037010 3379855 040204 0600 3549992 030538 3505609 034270 3461274 037955 34169A9 041589 3372762 0middot45165 0650 0700 0750
3545097 3540142 3535101
033930 037309 040672
35(01403494605 3488981
0J8062 0 41843 0 45607
34 55233 3449123 3442920
042143 046320 050482
3410383 341137Q1 33 96923
046167 050738 055293
3365594 3358345 335099)
050131 050090 060035
0800 3529933 044015 340 83227 0+9350 3436584 054622 3390008 059827 3343505 064959 0850 0900
3524573 3518938
047333 050624
3477281 3471060
0 53067 0 56754
3430055 3423250
058735 062816
3382899 33 75514
064332 06e804
33351119 3327857
069854 074713
0950 3512922 053R83 3464460 0 60401 3416068 066859 3367711i3 073236 3319520 079531 1000 3506400 057106 31+57357 0 64020 34 08387 070861 3359496 077622 3310689 084300
1100 3491247 063430 3441059 0 7 1113 3390950 078717 334 0924 086237 329098b 093670 1200 1300 1400 1500
3472100 3447128 34138 10 3369028
069566 075482 081147 086534
3420805 3394785 3360506 3314884
077996 0 84634 0 90992 0 97038
3369593 3342529 3307291 3260833
086343 093699 100747 107449
3318468 3290363 3254171 3206878
094603 102674 1104 08 117764
326743) 323829i1 3201148 3153024
102771 1011554 119971 1279 77
Page 125
TABLE 13 ICONTINUED
lC bull 01300 lC bull 01400 X bull 01500 lC bull 01600 lC bull 01800
T -H HE -H HE -H HE -H HE _H HEIKI IJMOLE IJMOlE IJMOLEI IJMOLE IJMOLE IJMOLEI IJMOLE 1JMOLE I IJMOLEI IJMOLE)
0300 3372687 017413 3331638 018779 3290622 020111 3249642 021 408 3167814 023869 0350 336570 022394 3324222 024067 3282756 02569 32413l~ 3158645 0303070~~860400 3358565 027519 3316572 029524 3274627 03147 3232734 O 3 82 U 49121 0370140450 3351242 032740 3308743 0 35091 3266299 037386 32 t 3912 039624 313933 0439050500 3343192 038021 3300771 0 40731 3257811 043378 32 14914 0415963 3129330 050923
0550 3336238 043341 3292683 0 46417 3249193 049427 3205772 052368 3119154 058027 0600 3328596 048681 3214495 052130 3240466 055509 31bull 96509 05815 3108833 0651900650 3320871 054028 3276218 057856 3231640 061608 1 87138 065284 3098385 0723860700 3313058 059373 l267846 063581 3222712 067711 31middot776~9 071760 3087812 0middot79i990750 3305140 064704 3259363 0 6295 3213668 073804 3168057 078230 3077104 0middot86810 0800 3297079 010014 3250733 074989 3204473 079979 3158299 084681 3066231 094008 0850 3288818 075296 3241902 080654 3195073 085924 314834 091104 3055144 1011780900 3280282 080540 3232793 086281 3185395 091931 31 38090 091488 3043773 1083080950 3271311 085741 3223311 0 91863 3175344 097890 3127473 103823 3032031 115388 1000 3261969 090891 3213340 0 97391 3164807 103794 3iU372 110101 3019808 122406
1100 3241139 101011 3191388 108256 3141738 115402 3092188 122446 29 9340 1036214 1200 3216498 110843 31065660 118816 3114925 126686 30middot64296 134451 2963367 1middot496501300 3186321 120334 3134452 129012 3082690 137583 30310]6 146047 2928067 162633 1middot400 3149228 h29431 3095413 1 38787 3042708 148032 2990114 1057166 28 85274 1 7508710500 3099275 138086 30 45634 1 48086 2992106 157974 2938691 167749 2832218 186942
TABLE 13 ICONTINUED)
lC bull 02000 lC bull 02250 lC bull 02500 lC bull 0~750 lC bull 03000 HET -H -H HE -H HE -H HE -H HE
11( IJMOLE IJMOLEI IJMOLEI IJMOLEI 1JMOLE 1 IJMOLEI 1JMOLE I IJMOU IJMOLE IJMOLE 0300 3086192 026125 2984509 028600 2883270 030630 2182540 032152 2682380 033103 0350 3076190 033094 2973502 036195 28 71296 038815 2169633 040893 2668572 0423680400 3065773 040385 2962000 0 44185 2858742 047469 2156058 050180 2654004 052260 0450 31550~7 LIl 2950113 0 52455 2845736 056461 27 41960 059864 2638842 062610 0500 3044049 055579 29 37921 060926 2832369 165698 2727446 069141 2623204 013302
0550 3032858 063364 2925485 069539 2818712 075113 271252 080034 2607178 084249 0600 3021496 071225 2912844 0 78251 2804815 084653 2697460 090382 25908~9 095385 0650 3009986 0 79 135 2900025 0 87031 2790710 094283 26 82088 100140 2574210 106655 0700 2998333 087069 2887042 095851 2776415 103968 26 66500 111372 2557346 1middot180170750 29amp6531 095011 28bull 73890 104688 2761931 113682 26 50701 121947 2540247 129436
0800 297455 102942 2860548 113521 2747241 123401 2634678 132537 2522906 140881 0850 2962356 110849 2846974 122334 2732307 1033105 2618399 143117 2505295 15232 0900 2949870 118716 2833107 1 3110 2717072 142173 26018 10 153665 2487366 163740 0950 2937011 126531 2818865 139830 2701460 152388 2584841 164161 2469051 175105 1000 2923675 134281 2804149 148484 2685377 1061933 25 67402 174585 2450267 186397
1100 2895075 149537 2772820 165529 2651340 180745 25306T9 195143 2410878 208680 1200 2862897 164390 2737991 10 82134 2613880 199083 24 90606 215195 U 6821g 230428 1middot300 2825511 1078747 2698147 198194 2571536 216828 24 45718 234608 32091 251493 1400 27 80917 192525 2651182 213611 25 22276 233868 23 94238 253257 2267110 271736 1500 2126237 205643 2594485 228294 24 63577 250102 2333551 271027 2204447 2 91030
Page 126
TABLE 14
THE VAPOR PRESSURE 0 HE3 - HE4 50LUTrON~
P (TORR)
~ 00001 00002 00005 0middot0010 00020 00030 00040 10010 00060 00080
110
0300 2102-006 4204_006 1051-001 2101-005 4200-005 6295-005 8386_005 1047-004 1251-004 1670-004 0320 0340 0360 0380
3962-006 6961_006 1153-005 1817-005
7923-006 1392_005 2304_00S 3630-005
198a-005 347 _005 5718_005 9068_005
3919-005 6952_005 1151-004 1812-004
7910-005 1389_004 2298004 3617_004
1185-004 2080_004 3442_004 5417_004
1H9_004 2770_004 4~82004 7209-004
1971-004 3457_004 I717-004 1I991-004
2362-004 4143_004 6849_004 1077-00l
3140-004 s505-004 9099-004 1 431-003
0400 2746-005 5482-005 1369-004 2734-004 5457-004 8170-004 1087-003 t 356-003 10624-003 2156-003 0420 4007-005 7988-005 1992-004 3978-004 7937-004 1188-003 1581-003 1972-003 2361-003 3middot134-003 0440 0460 0480
5680-005 7865-005 l070-0il4
1middotU9-OO4 1555-004 2098-004
2810-004 3860-004 5180-004
56g8-004 76 4-004 1031-003
10 119-003 1534-003 2053-003
1614-003 2294-003 3070-003
2227-003 3052-003 4082-003
2middot777-003 3805-003 5090-003
3325-003 4555-003 092-003
4413-003 044-003 082-003
0500 1437-004 2783-004 681 8-004 1353-003 2691-003 4022-003 5347-003 6665-003 7976-003 1058-002 0520 0540 0560 0580
1916-0Q4 2550-004 3403_004 4569_004
3645_004 4734_004 6120_004 7903_004
8829_004 1128_003 1426_003 1789_003
1745-003 2217_003 2781-003 3451-003
3463_003 4386_003 5479_003 6761-003
5173-003 6545_003 8163_003 1005-002
687middot_003 8I9Z_003 1083_002 1333_002
8566-003 1083_002 149_002 1659-002
1025_002 1295_002 1613_002 1983-002
1359-002 1717_002 lU7-002 2 626-002
0600 6182-004 toZ2-003 2233-003 4247-003 8258-003 1225-002 122-002 2016-002 2409-002 3188-002 0620 0640
8434-004 1159-003
1328-003 1733-003
2779-003 3454-003
51 92-003 63U-003
9998-003 1202-002
1478-002 1769-002
1953-002 2333-002
2middot42middot002 J 1I94002
2897-002 3451-002
830-002 4558-002
0660 0680
1599-003 2211-003
2274-003 2middot998-003
4297-003 5356-003
7662-003 9277-003
1436-002 1709-002
2103-002 2485-002
2765-002 3258-002
3425-002 4026-002
4080-002 4789-002
5380-002 305-002
0700 304-003 3964-003 6691-003 1123-002 2026-002 2924-002 31117-002 4705-002 5588-002 1340-002 0720 0740 0760 0780
4205-003 5759middot003 7832-003 1057_002
5250-003 6951003 9183_003 t209_002
8381003 1052-002 1323_002 1665_002
1359-002 1646-002 1997-002 2425-002
2396_002 2829-002 3337_002 3936_002
3427-002 4005-002 4671_002 5439_002
4452_011 2 51 74_002 5996_002 6934_002
5472-002 6331-002 7315-002 8420-002
6486-002 7494-002 8626_002 9898_002
8 497-002 188-002 1 123- 00110 283-001
0800 143-002 1584-002 2096-002 2947-002 4642-002 6328-002 8004-002 9671-002 1133-001 1462-001 0820 0840 0860 0880
1813-002 2459-002 3199-002 4125-002
2063-002 2671-002 3434-002 4383-002
2U5-0OZ 3306-002 4136-002 5157-002
3585-002 4361-002 5304-002 6443-002
5477-002 6 463-00ii 7629-002 9005-002
7358-002 8553-002 9941-002 1middot155-001
9228-002 10063-001 1224-001 1409-001
1109-001 1270-001 1453-001 1661-001
1294-001 1 475-001 1680-001 1 911-001
1661-001 1883-001 2middotUI-001 2 4011-001
0900 I271-002 5554_002 6404-002 7816-002 1063-001 1343-001 1121_001 189-001 2172-001 2118-001 0920 0940 0960 0980
6677-002 8390-002 1046-001 1294_001
6988_002 8729middot002 1083_001 10334_001
7917-002 9742-002 1193-001 1453_001
9462-002 1143-001 1376-001 1652-001
1254-001 1478-001 1741-001 2047-001
1560-001 1812-001 2103-001 2440_001
186middot-001 21 4-001 2464-001 2831-001
216middot001 2474-001 2823-001 3220-001
2468-001 2802-001 3180-001 3607-001
3065-001 3 453-001 887-001 4374-001
1000 19-001 1632-001 1761-001 1976-001 2403-001 228-001 3251-001 2671-001 4089-001 4 919-001 1050 1100
2579-001 4028-001
2631-001 4089-001
2786-001 4273-001
3044-001 4578-001
3557-001 5186-001
4067-001 5790-001
4575-001 6392-011
5080-001 6990-001
5583-001 7585-001
579-001 8 166-001
1150 10200
6081-001 8907-001
6153-001 8990-001
6367-001 9U-001
6724-001 9650-001
7435-001 1047middot000
8142-001 1129middot000
8845-001 1210middot000
9545-001 10 291000
1024middot000 1312middot000
1162middot000 1 532000
1300 1768middot000 1779000 1811middot000 1865000 1971middot000 2077middot000 213000 2288middot000 2393middot000 2601000 1400 1500
3220+000 5468+000
3234middot000 5485000
3274middot000 5534+000
3341000 5616+000
3475+000 5779000
3608+000 5942000
3741+000 610middot000
3813+000 6265middot000
4005middot000 6 426000
4266middot000 47000
Page 127
TAeL[ 14 (CONTtNU[OI
p ITORRI
00100 o0150 00200 00250 00300 00350 00400 004S0 00500 00550 ~
110
0300 2082-004 3100-004 4096-004 5069-004 6015-004 6933-004 182Z-004 11681-004 9510-004 1031-003 0320 3913-004 5819_004 1682-004 9499-004 1126-003 1298-003 1463_003 1624-003 1718-003 1921-003 0340 6858_004 1019_003 1344_003 1661_003 1969_003 2261_003 2556 003 183S-003 3104_003 363-003 0360 1133-003 1682_003 2218_003 21~9-003 3245_003 3136_003 4211_003 4669_003 5112_003 5538-003 0380 1181_003 2643_003 3483_003 4299_003 5093_003 5861_003 6605_003 1324_003 A017_003 e 68S_001
0400 2684-003 3980-003 5243-003 6471-003 1662-003 8811-003 9935_003 1101-002 1206-002 )306-002 0420 3900-003 S180-003 761Z-003 9392-003 1112-002 1279-002 144Z-002 598-1)02 1150-00Z ]895-002 0440 5490-003 8135-003 1071-002 1321-002 1564-002 1199-002 2021-002 2247-002 260-002 2 666-002 0460 1518-003 10114-002 1466-002 1808-002 2140-002 2462-001 27H-002 3015-002 3367-002 648-002 0480 1005-002 1489-002 1959-0OZ 2416-002 2859-002 3289-001 3706-002 4109-002 4499-002 4875-002
0500 1315-002 1948_002 2562-00Z 3160-002 3739-002 4302-002 4141_002 50314-002 5885-002 6378-002 0520 1690-002 2501-002 3289_002 4056-002 4800-002 5522-002 6222_002 tIe99-002 7555-002 8189-002 0540 2134_002 3158_002 4153_00 2 51Z0-002 6059_002 6970_002 185middot_002 8710-002 9538_002 1 034-001 0560 2656-002 3928_002 5165_002 6367-002 1535-002 8668-002 9767_002 1083-001 1186-001 lch-OOI 0580 3261-002 4821_002 6338-002 1812-002 9245_002 1063-001 11 98_001 1329-001 1456_001 1 519-001
0600 3958-002 5847_002 7685-002 9471-002 1121-001 1289-001 1 53-001 1611-001 1765-001 )914-001 0620 4152-002 7016-002 9217-002 1136-001 1344-001 1546-001 1142-001 1931-001 2117-001 ZZ96-001 0640 5653-002 8middot331-002 1095-001 1349-001 1595-001 1835-001 2068-001 2294-001 2513-001 2 726-001 0660 66o6-002 98Z1-002 1289-001 1587-001 1871-001 2159-001 2433-001 2~99001 2 957-001 3 208-001 0680 7803-002 1148-001 1505-001 1853-001 2191-001 2~20-001 2114(-001 3150-001 3451-001 3144-001
0700 9073-002 1332_001 1146-001 21 48-001 2539-001 2920-001 3290-001 3649 001 3998-001 4337-001 0720 1049-001 1537_001 2011-001 2473-001 2923-001 3360-001 3785_001 41 99-001 4600-001 990-001 074 0 1206_001 1762_001 2304-001 2831-001 3344_001 3843_001 4328_001 4800-001 5259-001 5 705-001 0760 1380-001 2011-001 2625_001 3223-001 3805-001 4371-001 492Z-001 5451-001 5979-001 6 86-001 0780 1573-001 2284_001 2977_001 3651-001 4307_001 4946_001 51368_001 61 73 001 6762-001 7335-001
0800 1787-001 2585-001 3362-001 4111-001 4855-001 5572-001 6270-001 tI 950-00l 7612-001 8 255-001 0820 2024-001 2914-001 3782-001 46Z6-001 5449-001 6250-001 7030-001 7190-001 8530-001 9Z50-00l 0840 2286-001 3276-001 4240-001 51 78-0111 6093-001 6 984-001 7852-001 86911-001 9521-001 1032-000 0860 2577-001 ]612-001 4139-001 5178-001 6790-001 7717-001 8739-00 9~16-001 1059-000 1middot148-000 0880 2900-001 4107-001 528Z-001 64C8-001 7545-001 8633-001 9694-001 1073-000 1114-000 1 272000
0900 3258-001 4583-001 5874-001 71 33-001 8360-001 9556 001 1012000 186000 12970000 1405000 0920 3656-001 5105_001 651 9-001 1896-001 9240-001 1055000 118l000 1307middot000 1 4290000 1 547000 0940 4097-001 5619_001 7220-001 8123_001 1019000 116200(1 130Z000 14311000 1570000 1100000 0960 4588 001 308_001 7984_001 9619-001 11210000 1217000 1429000 1571000 1122000 ]863000 0980 5133-001 6998_001 881 6-001 10590000 1232000 14010000 11566000 727middot000 1884-000 2 037000
1000 5739-001 7155-001 9721-001 1164000 1351000 1534000 1112000 1887middot000 2051middot000 2 223000 1050 1566-001 9990-001 1235middot000 1466middot000 1692000 1912000 2121000 2middot33middot000 2543middot000 2143000 1100 9935-001 1281000 1561+000 1835middot000 2103000 2365-000 2620000 2810middot000 3115000 3354-000 1150 1299-000 1635middot000 19640000 228Smiddot000 2599middot000 2906middot000 3206000 3500middot000 3787middot000 4 068000 1200 1690middot000 2079000 Z460middot000 2832000 3196000 3552middot000 3900000 4242-000 4576middot000 4 902000
1300 2801 000 331 4000 3810middot800 4295000 47nmiddot00O 5237middot000 5o93middot000 6140000 6578middot000 1008000 1400 4526middot000 5165000 5791000 6404-000 7006-000 7596middot000 8175000 8743middot000 9300000 9846000 1500 7064middot000 7848middot000 8618-000 9373middot000 1011middot001 1084001 11560001 1226middot001 1295middot001 1middot36Zmiddot001
Page 128
TABLE 14 ICONTINUED
P ITORR
00600 00640 00650 00700 00750 00800 00900 01000 01100 01200 ~ 00
0300 1107middot003 10166003 1181middot003 1251003 1318middot00l 1382-003 1tSOOmiddotOOl 606middot00l 1700middot003 1 183-003 0320 2069003 211900l 2206003 2337middot003 2 46200l 2582_00l 2804_003 3003003 3182003 33l9003 0340 3611003 3803_00l 3850003 4079003 4298_003 4507003 4896_003 5241-003 556100l 1841-00l 0360 5948 003 6264003 6341003 6718003 7080_003 7425_003 8069003 8652003 917600 3 9 644003 0380 93~8_003 9824_003 9946_00 3 1054002 1111-002 1165_002 1267002 1359-002 1442_002 i 517-002
0400 1403-002 10418-002 1496-00Z 1586002 1 1171-002 1153-002 1907002 2047002 2 174-00Z 2 288-002 0420 2036-002 215middot002 2171-002 2301-002 2426middot002 2546-002 2770middot002 l975-002 3161-002 329-002 0440 2864-002 301 7002 3054-002 323a-002 3414-002 3583002 3901-002 41 9Z-002 457middot002 bullbull696-002 0460 3920-002 4130middot002 4181-002 4433-002 4675-002 4908-002 5346-002 5747-002 6114middot00Z amp447-002 0middot480 52~8-002 5520-002 5589-002 5926-002 6251-002 6564-002 71 52-002 769]-002 8189-00c 8 640-002
0500 6854middot002 7223middot002 731 4-002 7757-002 8183-002 8594-002 9369_002 OOA-OOI 1074-001 1 134-001 0520 8802002 9277002 9393-002 9964-002 1051-001 1104_001 1205-001 1297-001 1382-001 1460-001 0540 10 112middot001 J 172-001 1186-001 1259-001 1328-001 1396-001 1523middot001 ~640-001 1749001 1848- 001 0560 13113-001 458_001 1bullbull76001 1566-001 1654_001 1738_001 1891_001 044001 2180-001 2306-001 0580 1697-001 J 790-001 1812-001 1923-001 2031-001 2134-001 2331-0b1 2513-001 2682-001 2837-001
0600 20-8-001 21 70-001 2198-001 2333-001 2464-001 2590-001 2829_001 3052-001 3258-001 ]449-001 0620 2469-001 2604-001 2637-001 2799-001 2 956-001 3108-001 3397_001 3666-001 3915-001 4147-001 0640 29~2-00l 3092-001 3132-001 3325-001 3512-001 3693-001 4038-001 4359-001 4658-001 4 935-001 0660 3451-001 640-001 3686-001 3914-001 4135-001 4349-001 4756-001 5137-001 5491-001 5821-001 0680 4028-001 4249-001 4303-001 4570-001 4829-001 5079-001 51556-001 600]-001 6419-001 6 807-001
0700 4666-001 4923-001 bullbull 986-001 5295-001 5596-001 5887-001 6442-001 6962-001 7448-001 901-001 0720 5369-001 5664_001 5737-001 6094-001 6440-001 6776-001 741 1001 8018-001 8581-001 9 106-001 0740 6139_001 6476_001 6560-001 6968-001 7365-001 7750_001 8485_001 ~175-001 9822-001 1043 bull000 0760 6979_001 7363_001 7457_001 7922-001 8374_001 8812_001 9650_001 1044000 1118000 101870000 0780 7892-001 8326_001 8433_001 8959-001 9471_001 9967_001 10920000 101 810000 12650000 13440000
0800 88A2-001 9310-001 9491-001 10080000 10660000 11220000 12290 000 13300000 14250000 15140 000 0820 9951-001 10500000 10630000 11 300000 1194000 12570000 13770000 14900000 15970000 1697middot000 0840 10 11 00000 1171 0000 1186middot000 12600000 13320000 14020000 15360000 16630000 17820000 18950000 0860 1234middot000 13020000 13190000 1401middot000 14810000 15580000 17080000 1middota49deg000 19820000 2100000 0880 1030000 14420000 1461 0000 1551 0000 16400000 17260000 1891+000 2040000 21950000 23340000
0900 11510 0000 5930000 16130000 17130000 18100000 19050000 20870 000 2600000 24230000 25770000 0920 16630000 J753middot000 17760 000 1885middot000 1 9920000 20960000 22970000 24810000 26660000 28360000 0940 18260000 19250000 19490000 20690000 21870000 23010000 25200000 272~0000 29250000 31120000 0960 2001+000 21080000 21350000 22660000 23940000 25180000 2 bull 580000 29850000 32010000 3~OoOOO 0980 21870000 2304 0000 2333 0000 24750000 2614 0000 27490000 30U000 32A o OOO 3~9000 31170000
1000 2385000 2512+000 25430000 2698000 2848 0000 2990000 3279000 548000 38040000 40470000 1050 29390000 3093000 31310000 33180000 35010000 36790000 40230000 43510000 46630000 4 9590000 1100 31)87000 3771 0000 38160000 40390000 42510000 4471 0000 488~0000 52750000 I6500000 60070000 1150 43430000 45590000 4612000 4850000 51330000 53840000 5871 0000 336deg000 6780 0000 72040000 1200 5222000 54140000 55360000 58~2deg000 61420000 6436middot000 1005000 75490000 80690000 85660000
1300 74t90000 77600000 7842+000 8246000 86420000 90310000 97840000 10l1deg001 11200001 11860001 1~00 10380001 10800001 10910001 11 420001 11930001 12430001 13390001 14320001 15210001 16070001 1500 14~90001 1481001 1494001 1580001 16210001 16830001 1804 0001 9200001 2031+001 21390001
Page 129
tOO+8pound tOO+6ZtE tOO+Z61t 1000StOpound lOO+SSSZ lOO+tOZ toO+6ZS2 100middott2 100middotZEZ lUOZYZZ 005 I 10000pound9i tOO+6poundSZ tOOmiddotti tOOpoundIpoundZ 100SLlZ tOOotSOZ toO9t6 1 100middotS1 1009 ( 1006891 00 1 100096 1OO+6St 1000Jnt toOSZ I 1000tZ91 tOOSZSol 1000Z1 10069pound1 100Upound lOOoOSZt OOtI
1000Z 100pound1 100Wtpound1 1000poundSZt 1001111 100Ottl 100poundpound01 000Z6deg6 000pound66 000006 OOZI 100pound611 100SSt1 1006011 toOSSOt 000+poundZ66 000pound6 OOOSOS OOOoIlStS 000Z66 0000SU9 OStl OOOopoundHO 0006096 000+0Z6 000096S 0000S2S OOOotos 00099Z 000+S69 000699 000+9pound9 OOtt 000 at 000Z06deg OOOoWoy OOOmiddotziZ 000middotOU9 00009 000000 00019S OOOSOSS OUOot1ZS OSOt 00064]deg 000019 000_01l14 000+6611S 000+pound9SS 000-6ZS 00006S 000+00 00006 OOOoLZ OOOt
000-pound09 OOOOLliS 00099 00060 S OOOoOts OOOolllS 00006 000091pound OOOmiddotUt 000SZ6pound 01160 OOO-LOSS 000-19poundS OOoyt 000-L6 000-04 0001 h OOO-Stt 000-poundS6pound 000-19E ouO-S6Spound 0960 OOomiddotttoS OOOmiddotZSs OOOoLt OOOozt 0000Z9Z OOOoZO 0006Spound 000119pound OOOmiddotSs~ 000s8Zpound 0iJ060 00095 0000poundpound 00009I1Z OOO-lOl OOOIILIipound 000 0999degpound OOO+npound 00006Zpound OOO+hl Ii 000-966Z 0260 000_ tt1 0000 ltO OOO_ZSIIpound OOO-slLpound OOO-Uipound ooooapoundpound 000_1101pound 000-1I116Z 000-6SSZ OOO-zeZ 0060
OOO-poundOipound 000-19pound OOO-poundOSpound 000-5poundpound 000-6Llpound 000-600pound OOOopoundlSZ OOOoOZ 00006SS2 OOOoSZ 09S0 OOO-Zpoundpound OOOoOSZpound OOOoO~Ipound OOOopoundZOpound 000-9SZ OOO-ZtLZ OOOLpoundSZ OOO-OZ 00009poundpoundZ OOOSZZZ 09S0 000_U6Z 000middot1I06Z OOOotZioZ OOO-oUZ OOOmiddotOLSZ OOO-SpoundZ 00006lZZ 000-Z61Z OOOOOPZ OOO+OOOZ oeo 000_S9Z 000middott6SZ 0009tSZ 000061Z OOOhzZ OOO-UtZ 00006pound0Z 000-Z96t OOOOSS[ OOOotOL1 OZSO OOOopoundpoundZ 00001l6ZZ OOOopoundZZ OUOolstz OOOoZOZ 0000Spound61 OOOUSl 00006L1 000+9L9 000L6t OOSO
000-S90Z OOOoLZOZ OOOoELfIt 000degto6t 000-80St OOOmiddotLtL 0000019t 000-lSS OOOdegLa ( OOOmiddotst1 OSLO OOOottSt OOO-OSLl 0000poundL1 OOOmiddotZLIj 000Z6St 0000pound14]1 OOOmiddotlZl 000S9pound1 OOO-ZIpound OOOzszt 09L0 OOO-SLS1 OOO-poundSSl OOO-SHiL 000-pound91 000middot6pound 1 00009Zpound1 000-9Z1 00010Z1 OOO+ZSI 000-6601 hLO OOO-Lpound OOO-Lpoundl OOO+SIpound1 OOO-ZLZl OOOmiddotIZt 0009St1 000-9801 OOOmiddotLOl OOOSOO 100-90S6 OUO 0009Llt 00000911 OOOoSpound1 1 0000S601 000601 00000001 100-116 tOO-LLO6 100-18 100-poundZpoundS OOLO
000_00 100-SI66 tOO-middotlLo 100-16 100-LOO6 100-pound6SS 100-60S 100-0111L lOO-ZOSL tOO-SlItL OS90 tOO-EOS 100-Z11I tOO_lSZ 100-S00S 100-tL9L tOO-LZpoundL 100-S009 100-6999 100-60 100-9Z19 0990 100_11pound1 100-pound0 100_e69 100-ESL9 100-1lL9 100-619 lOO-9SS 100-L9S 100-6Z tOO_Z61S 09 0 too-Spound~S 100-16SS tOO-S6Le l OO-lIjS 100-0ZS t OO-S~il1degS 100-Z06 100-LtLdeg tOO-LSS 100-01pound OZ9deg0 tOO-poundS9 tOO-SSllo 100-middotSL 100-9 100-8S 100-tOpound tOO-690 100-t6pound 100-9f1L( 100-S~9pound 0090
100-1L6pound tOO-5S6t 100-06pound 100-poundlSpound 100-iL9pound tOO-LlSpound 100-0tOpound 100-IpoundZmiddotpound tOO-ztt ~ 100-OiltgtZ Oaso 100-681pound 100-Z91degpound 100-9t li toO-LOpound lOO-ZL6Z 100-9SSZ tOO-aOLoZ 100-t29Z tOO-zSZ 100-1oZ 0950 100-ZSi 100-ZSZ too-Los 100-tOZ tOO-tLtOZ 100-lI1ZZ 100-991degZ 100-8602 tOO-poundZOZ tOO-O~middott OirSO 100-L96deg 1 100-U61 tOO-LS6 1 too-~Z~o 1 100-Z9S1 tOO-6Lol lOO-90tt 100-S91 100-S6So 100-1(S1 OZSO [OO-OSl 100-E1Sol 100-iOi L [OO-n t 100-8pounddeg1 100-88poundt tOO-Zzpoundt toO-Z8Zmiddot1 100-UZt tOO-Silll OOSO
100-tEtdegl tOO-6pound1 t 100-11pound 1ot tOo-Oinot 100-0601 100-ESO1 tOO-SOool ZOO-tSL6 ZOO-6U6 ZOO-OiO6 OQOZOO-60ti 200-IIpoundoS ZOO-ZapoundoS ZOO-eeZs ZOo-zsOs ZOO-SZSL ZOO-SLL ZOO-09ZL ZOO-610 ZOO-S9 090 ZOO-poundS6degmiddot ZOO-ZOmiddot9 ZOO-iltOq ZOO-SS6S ZOO-OSSS ZOO-gOs ZOO-6lS lOO-eLlS 200-90tS ZOO-poundt6deg 00 ZOO-Imiddotmiddot ZOO-tOZ ZOO-Opounde ilOO-OZ ZOO-OZ1 ZOO-poundOO ZOO-LpoundSpound ZOO-Ettt lOO-SI9 ZOO-Owpound OZO ZOO-96LZ ZOO-SZ ZOO-OLez ZOO-098degZ ZOO-UsoZ ZOO-LHZ ZOO-Sl9Z ZOO-65SZ ZOO-OSoZ ZOO-Otltz 00deg0
ZOO-US1 ZOO-SSol ZOO-LiIl ZOO-USl ZOO-osst ZOO-SOSI ZOO-9poundL t ~00-tf9I ZOO_Z901 ZOO-poundilS1 OaEO ZOO-ltl ZOO-6S11 ZOO-LL I L ZOO-OSIl ZOO-L9tt ZOO-1lmiddot 1 zOO-OOldegl ZOO-(LO1 ZOO-ZtOO ZOO-90001 09pound0 EOO-pound69 EOO-6I1S9 poundOO-OZOL pound00-90L pound00-1I00
0 L EOO-US9 pound00-09 poundOO-n EOO-I0t pound00-110 0pounddeg0
pound00-poundpound1 pound00-6SSpound EOO-~~r (00-066pound EOO-ZL6t pound00-06pound EOO-leLpound poundOO-L69E pound00-96S( poundOO-Upound OlpoundoO pound00-16 pound00-9102 poundOO-ZLO~ EOO-[OZ poundOO-Z01Z tOO-ZLOZ EOO-110Z pound00-6961 pound00-Lt6deg1 pound00-S58I OOEO
000pound0 OSLZO OOSZO IISZZoU OOOzmiddotO OOelO 00910 OOSlO 0010 00pound10 ~
U1~Ol1 cI
(QiON1INO) t i1BYI
TABLE 15
THE HE3 CONCENTRATION TN THE VAPOR ABOVE HE3 - HE4 SOLUTIONS
XV
00001 0On02 00005 00010 00020 00030 0004 0 0005 0 00060 00080
C1()
0300 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0320 0340
09999 09998
10000 09999
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000ioooo
10000 10000
0360 09995 09997 09999 09999 10000 10000 10000 10000 10000 10000 0380 099 87 0 9993 09997 1)9999 09999 10000 10000 100 00 10000 10000
0400 09970 09985 09994 09997 09998 09999 09999 09999 09999 10000 0420 0440
0middot993g 098 79
09969 09lt139
09998 099 76
09994 u9988
0middot9997 0middot9994
09998 09996
09998 09997
09999 0999 7
09999 0 9998
09999 09998
0460 09711 09881 09955 09977 09989 09992 09994 09995 0 9996 09997 0middot480 0 96 20 0 9A O 09921 0 9960 0 9980 09987 0 999 0 0 9992 09993 0 9995
0500 09377 09678 098l-1i1 09934 09967 09978 09983 09986 09989 09991 0520 0540
09032 08570
09491 09230
09790 09677
098q4 09835
09946 09917
09964 09944
09973 0995
09978 09966
09982 09972
09986 09979
0560 07988 0 8881 0 9 520 09753 09875 09916 0 9936 09949 0995 7 09968 05ac 07300 08439 09310 09642 09817 09877 099 07 0992_ 09937 09953
0600 06538 07906 09041 09496 09740 09825 09868 09A93 09911 09932 0620 )0640 0middot160 0middot680
0middot5744 04961 0middot4225 03561
0729 06631 05940 05251
08708 0 8310 0 7851 07342
u9308 0 9075 08795 08 465
0middot9641 0 9 514 0middot9357 0 9 167
09757 09(69 09560 09427
0981 0 9 149 0966(1 09563
09amp52 09798 09730 09646
09876 0 98 30 0 9773 0 9702
09906 0 987 1 09828 09714
0700 02981 04593 06796 118090 08942 09267 094 3 0 9544 0961 6 09708 0720 0740
02486 02071
03982 03431
06230 05661
07675 07227
08681 08386
09078 08860
09290 091111
0 9423 0928 0
09513 09391
09628 09534
0760 01727 02944 051(4 067lt5 08060 08614 089 21 09115 09250 09424 0780 01443 02522 04572 06272 07705 08340 086911l 08928 n9088 09297
oeoo 01210 02159 04075 05787 07327 08040 08451 0 871e 0middot8906 09153 0820 0840 0860
0101 9 00863 00 734
01850 01588 01367
036 18 03205 028 34
05311 1)4851 04414
06933 06528 06120
07718 0737 07024
08181 0 7892 07585
0S4iT 08236 07966
08704 08482 0 8243
0899 1 08812 08616
0880 00627 0118 0 0Z506 04005 057 14 06662 07264 0768 1 07986 08404
0900 00539 0loe3 02216 03626 05317 06295 116934 073113 0 77 16 08177 0920 0 940
00466 0040 4
00890 00777
01 962 01 7 39
03278 029 61
0middot4932 0middot4564
05930 05570
06597 06259
0 7 075 0676 1
0 7434 07143
07937 0768 6
0 960 0980
00353 00309
0068 1 00600
01545 01375
02675 0241fgt
04 216 03888
05218 04878
()592~ 05590
06444 06127
0 6846 06546
07425 07157
1000 00272 005311 01227 021 A5 03582 04553 05266 05813 06245 06884 1050 1100 1150
0020~ 00154 00119
00396 00303 00236
009 34 00723 00570
)1708 I1348 VI077
0291 4 02373 01943
0J811 03179 02653
0450~ 038 2Q
03247
05057 04365 03751
05501 0 48 13 041A4
06196 05523 04889
1200 00095 001 88 00456 00811 01601 02222 02156 032l0 03627 04308
1300 00063 00124 003 05 00592 01117 01586 020011 02386 002730 03332 1400 0middot0044 00087 00215 00421 00808 01164 01 493 01198 0 02081 02591 1middot500 0middot0032 001164 001lt9 00312 0-0606 000881 01140 0138 15 0161 6 02042
Page 131
TABLE 15 (CONTINUED)
XV
~ 001()0 00150 00200 00250 00300 00350 00400 00450 00500 00550
(I()
0300 10000 10000 10000 looon 10000 10000 1000n 1000n ]0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0360 10000 10000 10000 10000 10000 10000 10000 10UOO 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 100UO 10000 10000
0400 10000 10000 10000 10000 100000 10000 10000 10000 0000 10000 0middot420 0440
0middot9999 0middot9991i
10000 09999
10000 09999
10000 119999
10000 10000
10000 10000
10000 10000
10000 10000
]0000 10000
10000 10000
0460 09998 0999A 09999 09999 0middot9999 09999 09999 09999 09999 09999 04 0 09996 09997 09998 1)9998 0middot9998 09999 0 9999 09999 0 9999 09999
0500 09993 09995 09996 09997 09997 09998 0999A 09999 09998 09998 0520 0540 0560 0580
09981i 09983 09974 09962
09992 09988 09982 09974
09994 09991 09986 09980
09995 09993 09989 09984
09996 09994 09991 09986
09996 09995 09992 09988
09997 0999i 09993 09989
09997 09996 0999] 09990
09997 0999t) 09994 09991
09998 09996 09994 09992
0600 09945 09963 09972 09977 09980 09983 099811) 09986 0 9987 09988 0620 0640 060 06f1O
09924 0middot9896 0middot9861 0middot9817
0994 09929 099015 0987c
09961 0 9946 09928 09905
09968 09956 09941 09923
0middot9973 0 9963 0middot9950 0middot9934
09976 09968 09957 09943
09979 0 9971 09961 09949
09981 09Jfh 09965 09954
0middot9912 0 9976 09968 09958
09984 09978 09971 09961
0700 09763 09839 09877 09900 09915 09926 09934 0994 1 09946 09950 0720 0740 070 0780
09699 09622 09531 09427
09794 09741 09679 09606
09843 09802 09754 09698
09872 119839 09800 09754
09892 09864 09830 09791
09906 09881 09852 09819
0991 09895 09869 09839
09924 09905 0 9882 09855
09931 0991 3 09892 09868
09936 09920 09901 09878
081)0 09308 0 9522 09633 09701 09746 09779 09804 09823 09839 09852 08~0 09173 09427 09559 09640 09695 09734 09764 09787 09806 09821 0840 0middot9023 09319 09475 09571 0 9636 09683 0 9719 0976 09769 O97S7 0860 08f1O
08857 08676
0 9200 09068
09381 09277
09494 09408
0 9570 0middot9496
09625 09561
0 9667 09610
0 9700 0961t9
09726 0 9679
09748 09704
0900 0920 0940
08lt81 08273 08053
08924 0876R 08600
09163 090)8 08903
09312 09208 09095
09415 0 9325 09227
09489 09411 09325
0954 0947 09399
09590 09521094amp
09626 09568 09501t
09656 09602 095lt3
0960 09AO
07822 07582
0842t 08234
08758 08603
08973 08842
09122 09008
09231 09130
09315 09224
09J81 0 9299
094)5 09359
09479 09409
1000 07335 08037 081t40 08702 0R886 09022 09127 09210 09278 09334 1050 1middot100 1middot150
06699 06059 Q5438
07513 06960 06398
07998 0751 9 0701 7
08321 07899 01449
0middot8550 0middot8175 0middot7768
08722 08384 08013
0885 08548 08207
0896) 08680 08365
0 9050 0middot8788 0middot8496
09U3 08879 08605
1200 04855 05845 06508 06983 0middot7341 07619 0784) 08025 08178 08307
1300 03840 0481Fl 05522 06052 06466 06798 07070 07298 07491 07656 1400 1500
0)038 02425
03944 0323
04636 03884
05192 04416
05623 04859
05987 05234
06292 0555
06552 05835
06776 06080
06971 06295
Page 132
TABLE 15 (CONTI NUEO)
XV
00600 00~41) 00650 00700 00750 00800 00900 01000 011 00 01200~ 00
0300 10000 10000 10000 10000 10000 10000 10000 1000 0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 03~0 10000 10000 10000 10000 10000 10000 10000 10g00 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000
0420 10 0000 1000t) 10000 10000 100000 10000 10000 10000 1middot0000 10000 0420 1middot0000 10000 10000 10000 10000 10000 10000 10000 0000 10000 0440 1middot0000 10000 10000 10000 1middot0000 10000 10000 10lOO middot0000 10000 04~0 0middot9999 10000 10000 10000 10000 10000 10000 10UOO 1middot0000 10000 0480 0middot9999 09999 09999 09999 0 9999 09999 09999 09999 0 9999 09999
0500 09999 09999 09999 09999 09999 09999 09999 09999 09999 09999 0520 09998 09998 09998 U9998 09998 09998 O999~ 09998 09998 09999 0540 09996 09997 09997 09997 09997 09997 09997 09998 09998 09998 0560 09995 0999~ 09995 09995 09996 09996 09996 09991 099970999 0580 09992 09993 09993 09993 09994 09994 09994 09995 09995 09995
0600 09989 09990 09990 09990 09991 09991 09992 09992 0middot9993 09993 0620 0middot9985 09986 09986 09987 09987 09988 09989 09990 09990 09991 0middot640 09979 0 9981 0middot9981 09982 0middot9983 09984 09985 0998~ 0 9987 09988 0middot660 09973 09974 09974 09976 09971 09978 09980 09981 0middot9983 09984 0middot680 09964 09966 09966 09968 0middot9970 09971 09914 09976 0middot9977 09979
0700 09954 09956 09957 09959 09961 09963 09966 09969 09971 09972 0720 09941 09944 09945 09948 0middotQ951 09953 09951 09960 09963 09965 0740 09926 09930 09930 09935 09938 09941 09946 09950 09954 09956 0760 09908 09913 09914 09919 09923 09927 099]3 0 9939 0993 09946 0780 09887 09893 09894 09900 09906 09911 09918 0 9925 09930 0993
0800 09862 09870 09871 09879 09886 09891 09901 09909 0991 5 09920 0820 09834 0984] 09845 09854 0middot9862 09869 09881 09890 0middot9898 09904 0840 09802 09813 0 98 15 9826 0middot9836 09844 09858 09870 09879 09886 0860 0middot9766 09779 09781 09795 0middot9806 09816 0 9833 09A 0middot98S7 09866 0880 0middot9726 09740 09744 09759 0middot9773 09784 098 04 094120 0middot9833 09843
0900 09681 09698 09702 09720 0973 09749 09772 09790 09805 09818 0920 09631 09650 09655 09676 09694 09710 09737 09758 0middot9775 09790 0940 09576 09s99 0960 09628 09649 09667 09698 09722 09742 09759 0960 09516 09542 09548 09575 09599 09620 0965S 09083 09706 09725 09~0 09451 09481 09487 09518 09545 09569 09609 0 964 1 09667 09689
1000 09381 09414 09422 09457 09487 09514 09558 09594 0middot962 09649 1middot050 0middot9184 09227 09237 09282 0middot9322 09357 09416 0940 0middot9503 09536 1middot100 0middot8956 09010 0middot9022 09080 0 9 130 09175 09250 0931+ 0 9362 0middot9404 1middot10 08699 08765 08780 08851 089 13 08968 09061 091 3 0middot9200 09253 1middot200 0841 8 08496 0851 4 08598 0middot8672 08738 08850 08942 0 9011 09083
1300 07800 07901 07925 08036 08135 08224 08375 0 850 1 08607 08697 1410 07143 07266 07295 074)0 Q7551 07661 07851 080 10 0middot8144 08261 1500 06481 06626 06659 06813 06953 07081 07304 07492 07655 07795
Page 133
68880 Tl880 lZL8deg0 1980 S880 19pound80 l1ZS0 alSO L20S0 S16L0 OUS1 OpoundUO OL060 deg006middot0 L1680 9188deg0 8lL80 66S8n 8aSS0 OsSO 19pound8deg0 00[ 6pound6deg0 50pound60 SZ60 pound616deg0 81160 060 556S00 Z0680 a88deg0 LUoo OOE
Spound560 60amp60 H60 ~E6deg0 08pound60 6Zpound60 LIi~60 6ZZ60 L816deg0 6pound160 OUZl 02960 L6560 69i60 iE56deg0 66deg0 pound560 Zh6deg0 ZLpound6deg0 8poundE60 86260 05tot 696deg0 9L960 CQ60 _296deg0 _656deg0 pound956deg0 poundZ56deg0 6660 ZL6deg0 060 OUt 0
85L60 5L600 8L60 80L6middot0 8960 6596deg0 82960 6deg96middot0 88560 956middot0 OOt 1860 OS60 l6L60 LLL6middot0 65L60 HoL60 8U60 OL6middot0 8896middot0 OL960 000
pound96middot0 Sa86middot0 1860 Z086middot0 98L6middot0 69L6deg0 6tL6deg0 LpoundL6deg0 tU6middot0 LOL60 086middot0 Z586middot0 86 0 -pound1260 2860 Ot96middot0 96L6middot0 8LL6middot0 89L60 9SL60 ZL6deg0 0160 69860 Z9860 551160 860 poundpound86
00 12960 S0960 96L6deg0 98L60 ELL60 060
S8860 6L8600 ZL860 9860 5860 pound860 OE860 22860 pound1860 Z0860 OZ60 66860 6860 68860 Z8860 poundL8b0 986middot0 Z586middot0 5860 8pound86deg0 6286middot0 006middot0
2166middot0 80660 E066middot0 L696middot0 0686deg0 Z886deg0 poundLe6deg0 L986deg0 09860 2586 0 0 088middotU Z66deg0 12660 LU6deg0 Z166middot0 506600 6686deg0 16860 98S60 0896deg0 L86deg0 098deg0 5pound66deg0 Zpound6600 6266deg0 266deg0 61660 166deg0 L066deg0 pound0660 ij6860 pound6860 0 08deg0 bullbull66deg0 2660 6pound66deg0 11pound660 2pound6b0 Ll660 22660 81660 t660 01660 0~90
pound5660 15660 6660 66middot0 pound66middot0 6pound660 pound66deg0 2pound66deg0 ~2660 5266middot0 0080
09660 6i660 L5660 i566deg0 25660 6660 9660 pound660 166deg0 9pound660 OtiLO L9660 99660 59660 pound9660 19660 8566deg0 55660 415660 (566middot0 6660 OJILO poundL660 2L660 0 U660 ~L660 89660 99660 9660 29660 (966deg0 65660 OtLO 9L660 L~66O LL66deg0 L660 L660 EL660 U66n OL660 89660 L9660 OZLO 2866deg0 2866
0 0 18660 0866deg0 6L66deg0 8L660 U66deg0 9~660 itL66 deg 0 U660 oOLO
98660 96660 5866deg0 l966deg 0 866deg0 pound866 00 2866 00 1866deg0 1866deg0 0866 00 0~900
6966 00 6t1660 0 9866deg0 ~86600 L866deg0 LS660 98660 911660 58660 866deg0 Oli9middot0 16660 166600 166bull0 16660 06660 066600 68660 68660 6S660 98660 090 pound6660 pound6660 pound6660 pound666middot0 pound6660 pound6660 26660 Z6660 C666middot0 1666middot0 Ol9deg0 56660 5666deg 0 -6660 6660 5666middot0 56660 666degn 416660 6660 6660 OU9deg0
96660 96660 96660 11666middot0 111666deg0 96660 9666deg0 9666deg0 9666deg0 S666middot0 O~lO L666deg0 L6660 L 6deg0 L666deg0 ~666middot0 L6660 L6660 L6660 L666middot0 L6660 osmiddoto 86660 86660 96middot0 tl666deg0 11666middot0 96660 8666middot0 8666deg0 tl666middot0 86660 050 6666deg0 66660 6666deg0 00660 66660 6666deg0 6666deg0 66660 06b60 6666deg0 o~smiddoto
6666deg0 6666deg0 66660 0666 0 66660 66660 6666deg0 66660 6666middot0 6666deg0 OOSmiddotO
66660 666600 001)01 0000deg1 6666middot0 6666middot0 6666deg0 0666middot0 tgt66600 OlJmiddotO ggggl 0000deg1 0000middot1 oooOmiddott 0000deg1 deg t 0000 01 OOOOOt 0000deg1 OOUOmiddotl OUOOmiddotl 0deg0 OOOoot 000001 001001 00001 0000deg1 00001 011001 0000middot1 0000middot1 0bullbullmiddot0 00001 ()OOOt 4000deg1 ~ 0000deg1 00001 0200 oOOot 0000deg1 000 I OUOOot 01gt00middot1 00001 0000 01 000deg1 0000deg1 0000deg1 00000( 00001 0000deg1 OOuool 00001 00deg0
OOOOt 000001 OOOOt 0000( 00001 0000deg1 00001 0000deg1 0000middot1 0000deg1 OijpoundO 0000middot1 OOOooL 0000deg1 00001 0000middot1 00001 0000middot1 0000-1 uooomiddott 0000middot 01(0 00001 0000middot t 001)01 00001 0000middot1 0000middot1 00001 00001 ~ ouOOmiddotl 0pounddeg0 0000middot1 0000deg 00001 00001 OOOOOt 0000deg1 00001 OUOOl UOOOol 0000deg O~poundU OOOOt 00001 110001 0000deg1 00001 0000deg1 0000middot1 0000middot1 0000middot1 ~ OOEmiddotO
000pound00 OS~2middot0 OOiZoO OillO OOOZmiddotO 0081deg0 0091deg0 00510 0091deg0 00pounddeg0 ~
fll(
(Q3m~UNOgt 5( 318-1
00
3Table 16 The Enthalpy and Entr opy of He Along the Solubility Curve and the Heat Absorption Rate of the Dilution Refrigerator
T Xt H3 (Xt T) S3 (Xt T) H3 (Xt T) - H3deg(T) (TmTi)Q=O
(O~) 3(Jmo1e He )
3(JoK mole He ) 3
(Jmo1e He ) T=T m
0000 0064000 00 00 00
0001 0064000 9451 x 10-5 010716 8188 x 10 -5 0365
0002 0064002 3781 x 10 -4
02143 3277x10-4 0364
0004 0064007 1 513 x 10 -3 04286 1312x10-3 0361
0006 0064016 3404 x 10-3 06427 2954 x 10 -3 0359
0008 0064029 6050 x 10-3
08567 5254 x 10-3
0357
0010 0064045 9452x10-3 10705 8214x10-3 0355
0015 006410 002125 1604 001850 0349
0020 006418 003772 2134 003288 0345
0025 006429 005881 2660 005132 0339
0030 006443 008443 3182 007377 0334
0035 006459 011448 3697 010012 0329
0040 006480 014884 4206 013028 0325
0045 006503 01873 4705 01641 0320
0050 006530 02298 5195 02014 0316
0060 006596 03257 6141 02857 0306
0070 006680 04347 7032 03813 0298
0080 006784 05549 7867 04865 0289
0090 006906 06844 8643 05995 0281
010 007042 08213 9362 07186 0274
012 007361 11122 10643 09699 0262
014 007731 1 4190 11739 1 2328 0255
016 008157 1 736 12670 1502 0250
018 008628 2058 13468 1 774 0247
020 009144 2383 14154 2046 0245
025 010618 3195 1549 2718 0245
030 012363 3988 1643 3364 0252
035 014373 4749 1710 3975 0260
040 01665 5471 1759 4 541 0271
045 01918 6150 1796 5061 0283
050 02201 6732 1822 5478 0297
055 02527 7338 1839 5916 0311
060 02908 7810 1846 6216 0326
Page 135
TABLE 17
THE HE3 CONCENTRATION SPECIFIC HEAT AND ENTROPy AT CONSTANT ~4
T III m
0000 DEGREES T m
0010 DEGREES Tm 0020 DEGREES
T X Cfgt4 53 X Cfgt4 53 X C~4 53 (K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K)
0000 006400 00000 0001)0 0001 0064011 0107C 01072 0002 006399 02144 02143 1)003 006398 03217 03215 0004 006396 04290 04288
0006 006391 06443 0middot6434 0008 006383 0860 4 08583 0010 006374 10177 10737 006404 10745 10705 0012 006362 12964 12894 006393 12925 12856 0014 006349 15168 15058 006379 15122 15013
0016 1)06333 17391 17228 006364 17339 11171 0018 006316 19637 19406 006346 19578 19348 0020 006296 21907 21592 006326 21842 21528 006418 21645 21331 0025 006238 27104 211OD 006269 27621 27019 006360 27375 26779 0030 006169 33693 32677 006199 33593 32580 006290 3middot3294 32290
0035 006088 39888 38333 006118 39770 38219 006208 39418 37880 0040 005997 46282 44074 006026 46146 43943 006116 45742 43553 0045 005896 52846 49903 005925 52693 49755 006014 52240 49314 0050 005786 59564 55816 005815 59395 55651 005903 58895 55161 0060 005541 73202 67879 005575 73009 67681 005660 72435 67092
0070 005289 86727 80182 005316 86518 79953 1105399 85892 79272 0080 005022 99790 92623 005048 99571 92365 005128 98921 91598 0090 004755 112071 105096 004780 1l185S 104812 1104856 111205 103968 0100 004494 123295 117500 004518 123082 111193 004591 122446 116281 0120 004009 141442 141746 004031 141265 141403 004098 140840 140380
0140 003585 156269 164861 003605 162838 164491 003665 161448 163389 0160 003182 164656 187486 003200 165749 187085 1103259 165830 185794 0180 002908 175207 207065 002924 172729 206659 002974 172843 205449 0200 002654 181627 225819 002669 181539 225403 002714 161273 224163 0250 002155 192703 267752 002167 192629 267319 002204 192403 266030
0300 001806 197727 303369 001817 197703 302925 001848 197634 301600 0350 0400
0middot01551 001356
201378 203670
334078 361131
001560 001364
201326 203647
333632 360677
(101586001387
201166 203580
332303 359322
0450 001203 205341 385205 001210 205319 384749 001231 205265 383393 0500 001079 207311 406925 001085 207267 406466 001104 207124 405100
0550 000977 209525 426780 000982 209480 426317 1100999 209355 424935 0600 0650
000890 000815
211960 214933
445111 4621A8
000895 000819
211917 214842
444643 461716
000910 000834
211778 214654
443252 460311
0700 000749 218847 478254 000753 218781 477774 000766 218554 476354 0750 000690 224606 493538 000694 224507 493054 1gt00706 224094 491613
0800 000635 233202 508299 000639 233033 507806 000650 232577 506334 0850 000583 247028 522826 000587 24677tJ 522321 000597 246067 520817 0900 000531 268309 537531 000535 267920 537007 000545 266765 535449 0middot950 1000
000478 000421
297390 331787
552922 569838
000481 000424
301574 333057
552370 569242
100491 000433
299752 331382
550730 567414
1100 000283 704503 614275 000286 693165 613469 000294 676812 611083 1200 000098 1738501 714579 000100 1677101 710943 000108 Itgt1J305 705365 1300 000000 000000 000000 1400 000000 000000 000000 1500 000000 000000 000000
Page 136
TABLE 17 (CONTINUED)
T m
II 0050 DEGREES T m
bull 0100 DEGREES Tm a 0200 DEGREES
T X Clo4 53 X CIlo4 53 X Cf4 53 IK) (JMOLE-K) CJMOLE-K) (JMOLE-K) (JMOLE-K) (JMULE-K) CJMOLE-KI
0050 006530 55557 51950 000000 00000 00000 000000 00000 00000 0060 006270 68655 63235 000000 00000 00000 000000 0middot0000 00000
00 70 005989 81771 74805 000000 00000 00000 000000 0middot0000 00000 0080 0middot05696 94606 86566 000000 00000 00000 0middot00000 0middot0000 00000 0090 0100
005401 005113
106847 1181A5
98424 1100281
000000 007042
00000 107161
00600 93624
000000 UOOOOO
0middot0000 00000
00000 00000
0 120 004 571 137293 133640 006307 126129 114848 000000 000000 00000
0140 004092 156793 156114 005656 146070 135676 000000 00000 00000 0 160 Ol AO
003653 003327
163652 171204
177909 197439
005061 004604
155667 164952
156134 174878
000000 000000
0middot0000 0middot0000
00000 00000
0 2 00 003037 179369 215941 004201 173821 192764 009144 164768 141542 0 250 002467 190964 257442 003412 187054 233201 u07228 179647 180039
0 3 00 002068 197137 292804 002858 194075 267968 u05973 188660 213658 0 35 0 0 4 00
(l01H6 001553
200234 202994
n34fl 350331
002453 002145
198430 201291
298213 324896
U05086 U04425
194110 197611
243173 269326
)450 001378 205010 374367 001903 203481 348720 003914 200048 292741 0500 001236 206535 396039 001708 204712 370237 003507 201931 313911
0 550 001119 208399 415799 001548 206821 389813 003175 20middot3386 333225 0600 001020 210771 414025 001412 208861 407902 002898 204920 350978 n650 000935 213497 451000 001297 210600 424690 002664 20middot6195 367435 071)0 000861 216978 466944 001196 213002 440377 002461 20middot7636 382765 0 750 000794 22191H 482076 001106 216663 455190 1102285 210191 397161
0 8 00 000733 229486 496632 001025 222308 469343 002128 212345 410815 0amp50 000675 241307 510879 000950 230723 483062 001985 217372 423801 0900 000618 2596~7 525170 000878 243589 496597 001854 223342 436408 0950 000560 288207 539953 000806 263229 510274 001729 231609 448695 1000 000498 321825 555896 000131 289821 524529 001607 244603 460892
1100 000354 580966 595964 000565 305216 557481 001358 288125 486278 1200 000162 1230201 671211 000355 1001625 606464 001079 363583 515631 1 300 000000 000078 2840930 750865 000742 115849 556015 1400 000000 000000 000317 1501686 634901 1500 000000 000000 000000
TABLE 17 (CONTINUED)
T = 0300 DEGREES T 0400 DEGREES T OIOO DEGREES m m m X CJJ4 53 X Cf4 S3 X Cf4 S3
(Kl (JMOLE-K) (JMOLE-K) (JMOLE-K) CJMOLE-K) (JMOLE-K) CJMOLE-KI
0300 012363 197721 164293 0350 010046 198066 194823 0400 008543 1988(1 221262 016650 231794 175895 0450 007456 200199 244745 013616 216682 202286 0500 006625 201422 265893 011739 209547 224585 022010 284688 182210
0550 005964 2()2486 285136 010385 207183 244405 017706 241038 207168 0600 005423 203453 302792 009340 206270 262377 015343 221874 226966 0650 004973 21)4394 319111 008499 205979 278867 013675 215281 244396 0700 004589 205386 334292 007803 206054 294129 012391 212093 260209 0750 004258 206601 348500 007214 206428 308354 011354 2100432 274773
0800 003968 208229 361883 006707 207156 321697 010490 20middot9682 288323 0S50 003710 210496 374572 006263 208357 334289 009753 209631 301028 0900 003477 213783 386691 005868 middot210216 346247 009111 210241 313024 0950 003261 218696 398373 005512 213016 357683 008544 211636 324424 1000 003058 225569 409762 005184 217007 368707 008032 213912 335333
1100 002670 248215 432273 004583 230394 389969 007127 222135 356068 1200 002275 292769 455737 004014 255243 411031 006314 237633 376018 1300 001839 370332 482695 003432 299765 433198 005531 265004 396073 1400 001329 483665 518038 002796 384167 458542 004725 313845 417432 1500 000707 1466084 577753 002064 573025 491242 003846 405955 442029
Page 137 GPO 840middot 501
ABSTRACT
3 4The thermodynamic properties of liquid He - He solutions beshy
tween 0 and L 5degK are calculated by using the weakly interacting Fermishy3
Dirac gas model for He in He4 Certain experimental data below about
O 4 0 K are used to evaluate s orne of the parameter s in the model The 3 4
properties of both He in He and the total solution are calculated for 3
concentrations of He up to 30 percent All experimental data agree
very well with the calculated results although little data exist below
04degK The calculated properties are used to analyze the behavior of 3 4
the He - He dilution refrigerator in both the continuous and singleshy
cycle processes The maximum heat absorption below about 004degK is 3
found to be 82 T2 joules per mole of He circulated The effect of an 4
imperfect heat exchanger and He circulation on the refrigeration
capacity is discussed An analysis of two new types of single-cycle
processes is also given
Key Words Cryogenics dilution refrigerator enthalpy entropy
Fermi-Dirac gas helium-3 helium-4 liquid mixtures
osmotic pressure quantum fluid specific heat thermoshy
dynamic properties
viii
THERMODYNAMIC PROPERTIES OF HE3 - HE4 SOLUTIONS WITH APPLICATIONS TO THE HE3- HE4
DILUTION REFRIGERATOR
Ray Radebaugh
1 bull Introduction
Early in 1966 Hall et al [1] and Neganovet al [2] independently
succeeded in achieving continuous refrigeration below O 1 0 K using a 3 4
He - He dilution refrigerator Such a refrigerator was first proposed
by London Clarke and Mendoza [ 3] Previously such temperatures
could be reached only by adiabatic demagnetization of a paramagnetic
salt although the process is not a continuous one Since the dilution
refrigerator has certain advantages over adiabatic demagnetization
researchers are rapidly turning their attention to this new technique
Several new dilution refrigerators have been built since early 1966 with
many others in the construction or planning stage Improvements are
constantly being made to these refrigerators and as a result the lowest
temperatures reached with them have steadily been reduced Vilches
and Wheatley have just recently reached O 012 OK in continuous operation
[4] and O 0045degK in transient operation [5] It should be possible to
reach even lower temperatures with this technique but further design reshy3
finements are hampered by a lack of data on the properties of the He shy4
He solutions used in the refrigerator
The purpose of this paper is to present a complete and consistent 3 4
set of data for the thermodynamic properties of liquid He - He solutions
for the temperature range 0 - 1 5 degK Such information is needed to
analyze the performance of dilution refrigerators and to help optimize
their design These data of course are also necessary to predict the 3 4
behavior of any other process which involves He - He solutions at these
temperatures Nothing will be said of the transport properties of the
solutions which are also urgently needed for the optimum design of
dilution refrigerator s
Most of the properties to be discussed in this paper have been
measured experimentally but unfortunately very few of the measureshy
ments have been done below O 5degK An excellent list of the experimenshy
tally determined properties has already been given [ 6] To this list
should be added the recent specific heat measurements of Edwards et al
[7] down to about O 1 oK and of Anderson et al [8] down to about O 004degK
The solubility curve has now been measured extensively down to about
O 02degK [9] The specific heat measurements however are not extensive
enough to permit a deduction of various thermodynamic properties as
functions of temperature and concentration down to OOK without recourse
to some theoretical model In this paper it will be shown that the thermoshy
dynamic properties of a weakly interacting Fermi-Dirac gas are in very 3 4
good agreement with all existing experimental data on He - He solutions
for temperatures below 1 50 K provided that values of certain parameters
of the model are determined from experiments Application of these
thermodynamic properties will then be made to describe the behavior of 3 4
He - He dilution refrigerators The Fermi-Dirac gas model has been
applied previously [ 4 5 10] to the analysis of the dilution refrigerator but
not to the extent of this paper In addition the previous analyses did not 3
take into account interactions between the He atoms in solutionwhich is
important for many of the properties
2 Selection of a Theoretical Model
3 4Experiments have shown that He is not miscible in He for all
3 4concentrations and temperatures The phase diagram of He - He
2
solutions shown in figure 1 indicates that for teITlperatures less than
about O 86 OK certain interITlediate concentrations are not perITlitted 3
Instead the solution separates into a concentrated He phase floating on 3
top of the heavier dilute solution At OaK it is possible to dissolve He
in He 4
up to a concentration of (64 plusmn O 1) percent [ 9] Thus at very low
teITlperatures the only concern is with dilute solutions and essentially 3
pure He Only dilute solutions will be considered here since a satisshy
factory theoretical ITlode1 has not been found for concentrated solutions
i e for concentrations greater than about 20 to 30 percent The propshy3
erties of pure He can of course be deduced directly froITl experiITlenta1
results SOITle of which extend down to the ITlillidegree region
Landau and POITleranchuk[14] were the first to propose a theoreti shy3 4
cal ITlode1 for the behavior of dilute He - He solutions According to
this theory the excitation spectruITl of the liquid is ITlodified by the addition
of noninteracting FerITli quasipartic1es equal in nUITlber to the nUITlber of 3
He atOITls The analysis was liITlited however to the nondegenerate
(high teITlperature) range where the quasipartic1es can be treated as an 3
ideal gas and thus would contribute an aITlount 32 R per ITlo1e of He
to the specific heat of the solution For teITlperatures sOITlewhat less 4
than 1 0 K the specific heat of He becoITles extreITle1y sITlall so the specifshy3
ic heat for T lt 1 deg K is due solely to the He contribution For teITlperashy
tures of about O 5degK and for concentrations less than 15 percent the
prediction of a 32 R contribution to the specific heat has been borne out
by ITleasureITlents of Edwards et al [7] Results of de Bruyn Ouboter
et al [11] above 04degK however appear to be in good agreeITlent only 3 4
in the liITlit of zero concentration This ideal gas ITlodel of He - He
solutions has been used in the past to analyze the behavior of the dilution
refriger ator [ 1 2 6 15]
3
15
~middot10
o
Ishy
~
05 o
A
Lin
e
o -
de B
ruyn
Ou
bo
ter
et
01
(J
-E
dw
ard
s e
t 01
amp
-B
rew
er
an
d K
eys
ton
PH
AS
E
SE
PA
RA
TIO
N
RE
GIO
N
04
06
08
10
02
x
3 4
Fig
ure
1
P
hase
Dia
gra
m o
f H
eH
e S
olu
tio
ns
T
he d
ata
po
ints
are
fro
m s
ev
era
l au
tho
rs
l 71
1
l2J
an
d t
he d
eta
iled
beh
av
ior
at
the in
ters
ecti
on
of
the
A a
nd
ph
ase
sep
ara
tio
n
lin
es
is f
rom
th
e w
ork
of
Gra
f et
al
L
13
]
For temperatures approaching OOK the 32 R term must disappear
according to the third law of therrrlodynamics Measurements l 7 8] show
that the specific heat begins to drop at about O 2 to O 5degK (depending on
concentration) and becomes proportional to T for much lower temperatures
Since the dilution refrigerator usually operates below 01 degK the ideal
gas model can not be relied upon to give a satisfactory explanation of the
behavior of a dilution refrigerator
Edwards et al [7] showed that their specific heat data were fit 3
very well at all temperatures by treating the He as a Fermi-Dirac gas 3
with an effective mass m~~ of 2 5 times the mass of a He atom
Anderson et aL [8] also found that the same model would fit their data
within experimental error but with the values 2 38 and 246 for mm3
in 1 32 percent and 5 02 percent solutions respectively The data of
Anderson et al extended well into the degenerate region of the Fermishy
Dirac gas where the specific heat is proportional to both mm and T3
Thus the Fermi-Dirac gas model shows excellent promise for predicting 3 3 4
the thermodynamic properties of He in liquid He - He solutions at all
temperatures
The variation of mm with concentration can be accounted for by3
3conSidering weak interactions between the He atoms Doing so however
does not change the specific heat from that of a noninteracting Fermishy
Dirac gas with the same mm [ 16] It will be shown that the behavior3
of the solubility curve also requires that interactions be introduced 3 4
Thus in this note the thermodynamic properties of He - He solutions
are derived from the weakly interacting Fermi-Dirac gas model
3 Computational Methods
3 43 1 Properties of He in Liquid He
The behavior of the interparticle interaction and its effects must
be evaluated before calculations of thermodynamic properties can be
5
made Bardeen Baym and Pines [17] (BBP) assumed the interaction 3
between two He atoms separated by a distance r is spin velocity and
concentration independent and weak Their interaction is written in
terms of the Fourier transform V(k) by
J V(r ) = V (i~) e i kmiddot r dk (1)
3(21T)
where k is the wave vector For an isotropic systemV(k) = V(k) The
effective mass m~ is then given as [ 17]
m = 1 +1 F S = 1 _ N(O) J2kf V(k) k (1 _ L) dk (2) m 2 23 1 2k 0 2 k o
f f
where m is the value of m at zero concentration o
2 2 (3)N(O) = m k 21T tlf
is the density of energy states at the Fermi surface for one spin orientashy
tion and k is the magnitude of the Fermi wave vector The dependencef
of k on concentration is shown by the relationf
2 2k = (31T n3)13 = (31T NAv)13 (4)f
3where n3 is the number density of He atoms in solution NA is
Avogadros number and v is the volume of solution containing one mole 3
of He The expression
233 v=V X=2758X+760+165X cm moleHe (5)
m
3where V is the molar volume of the solution and X is the He concenshy
m
tration will be used throughout these calculations Equation (5) agrees
6
with experimental data [ 9 18] to within O 3 percent for concentrations
less than X = O 3 and all temperatures less than 1 5degK The value 3 4
27 58 cm mole is the molar volume of pure He between 0 and 1 5degK
To calculate m from (2) knowledge of V(k) is necessary The
simple two-parameter form used by BBP to fit spin-diffusion results
[8] is given by
V(k) = V cos (13k) (6)o
o 2 -38 3with 13 = 316 A and V0 = -00754 m s n = -1 303 x 10 ergs cm
4 44
where m 4 is the mass of the He atom s is the velocity of first sound in 4 4
He at T = 0 and n 4 is the number density of pure He at T O Ebner
[19] recently extended these calculations for V (k) to higher concentrations
and used the form
(7)
where V is the same as that used by BBP and the other parameters are o
C = 40752 C = 00564 (8 ) 2 3
The form of V(k) given in (6) is limited to concentrations less than 5 pershy
cent whereas the form in (7) is valid for concentrations even higher than
30 percent Ebner states however that V(k) in (7) may contain some
10 --15 percent error Both forms for V(k) were used in (2) to solve for
mm assuming mom3 = 234 as suggested by BBP Figure 2 shows3
the calculated concentration dependence of mm compared with four3
experimental points from specific heat data Both curves give good agreeshy
ment with experiment but since Ebners form of V(k) is valid for higher
concentrations mm obtained by using his form of V(k) will be adopted3
here These values of mm are also listed in Table 1 along with k3 f
and the Fermi temperature T f given by
7
23~--_
____
____
____
_~__
____
____
____
__L
__
__
__
__
__
__
__
_~
__
__
__
__
__
__
__
__~
__
__
__
__
__
__
__~
o 0
05
010
0
15
02
0
025
x
3
4 3
Fig
ure
2
Eff
ecti
ve M
ass
Rati
o o
f H
e in
He
as
a F
un
cti
on
of
He
Co
ncen
trati
on
TABLE 1
SOME TEMPERATURE INDEPENDENT PROPERTIES OF HE3 IN SUPERFLUID HE4
X 10-7 kf
-1(em )
T f (OK)
11=
m 1m3
-(1l3 + L 3 deg)R
(OK)
00000 000000 0000000 234000 0258728 00001 040136 0005535 234046 0258841 0middot0002 050567 00087B4 234092 0258956 0middot0005 068628 0016171 234225 0259310 00010 086462 0025643 234442 0259920
00020 108926 0040627 234857 0261201 0middot0030 124677 0053137 235253 0262544 00040 137213 0064255 235633 0263940 0middot0050 147794 0074432 236000 0265382 00060 157041 0083910 236355 0266865
0U080 172814 0101322 237033 0269938 0middot0100 186124 0117214 237674 0273139 0middot0150 212961 0152510 239145 0281601 0middot0200 234287 0183572 240462 0290600 0middot0250 252263 0211771 241656 0300U32
00300 267947 0237848 242748 0309825 0middotU350 281946 0262265 243753 031 99 26 0middot0400 294645 0285332 244684 0330293 00450 306304 0307272 245550 0340892 00500 317109 0328251 246359 0351698
00550 327197 0348395 247117 0362685 0middot0600 336673 0367807 247830 0373837 0middot0640 343870 0382864 248371 0382864 0middot0650 345620 0386567 248502 0385135 0middot0700 354104 0404742 249138 0396565
00750 362178 0422388 249742 0408115 0U8 OO 369887 0439551 250315 041 9775 00900 384352 0472586 251381 0443382 01000 397732 0504107 252357 0467321 01100 410202 0534310 253255 0491539
0-1200 421894 0563353 254088 0515992 01300 432914 0591359 254864 0540643 01400 443344 0618430 255592 0565461 01500 453252 0644651 256278 0590420 01600 462694 0670092 256927 0615498
01800 480362 0718869 258133 066t934 02000 496644 0765151 259239 0716639 02250 515379 0819942 260512 0780246 02500 532610 0871743 261690 0843959 02750 548575 0920896 262796 0907654
03000 563456 0967674 263844 0971234 03500 590503 1054946 265810 1097725 04000 614589 1134915 267648 1222900 04500 636280 1208563 269392 1346348 05000 655978 1276633 271062 1467729
Page 9
2 2 23T h k 2 K m 54 890(v m~~m) oK
f f 3 (9)
where K is Boltzmann I s constant
Stoner [20] has evaluated the specific heat C of a Fermi-Dirac v
gas for all temperatures as a function of the ratio TITr Since he gives
only tabulated results for the intermediate temperature range a power
series expression was fit to his data to facilitate calculations of thermoshy
dynamic properties The details of this power series fit are given in 3 4
Appendix A The specific heat and entropy of dilute He - He solutions
can now be calculated as functions of temperature and concentration
However to proceed with calculations of enthalpy chemical
potential osmotic pressure and other related properties the deviation 3
of the chemical potential of He in solution from that of an ideal Fermishy
Dirac gas must be found There will be a considerable deviation because 3
of the presence of a binding energy and the interaction between He atoms 3
The chemical potential of He in solution can be written as
1 (X T) 1 (X T) + 1 1 (X T)3 f 3 (10)
where 1 is the chemical potential of the ideal Fermi-Dirac gas with effecshyf
tive mass m and is given by T
J H - TS 53 U - TS R T + 53 Jr C dTf f f f f f v
o
T - T J (CvT) dT (11 )
o
In this equation H Sf and U are the molar enthalpy entropy andf f
internal ener gy of the ideal Fermi-Dirac gas and R is the gas constant
Since C has been expressed as a power series in T the integrations v
can be easily carried out with the aid of a computer
10
3
The term 1 13 can be evaluated from the expe rimental data for the
dilute solubility curve and then compared with theoretical re sults for 1 1 bull
The experimental values of 13 are found by making use of the fact that 3
in a phase separated solution the chemical potential of He must be the
same in both the dilute and concentrated phases If at first it is conshy3
sidered that the concentrated phase is pure He then
(12 )
where Xt denotes the concentration of the dilute phase on the solubility
curve
rT T 1 deg = - L3 deg + J C deg dT - T J (C degIT) dT
3 3 3 o 0 (13 )
3is the chemical potential of pure He and L3 deg is the molar heat of vaporshy
lzahon 0 f He 3 OOKpure at T = bull The quantity 1 deg + L3 deg is calculated3
3using values for the properties of pure He given in Appendix B The
term 1X T) in (12) is evaluated using (11) at each data point [79]t
for the solubility curve By combining (12) and (13)values for 13 (X T)t
+ L3 deg can be determined The results of such calculations are shown in
figure 3 Also in figure 3 are shown curves for T f from (9) and a theoretshy
ical result for 113 + L3 deg which will be discussed shortly From (11) (12)
and (13) it is obvious that (-11 3 - L3 deg)R = T f for T = 0 0 K and the conshy3 4
centration at which this occurs is the limiting solubility of He in He at
T = OOK
The theoretical behavior of 1 using V(k) has been discussed by3
BBP and Ebner However bull their definition of 13 is slightly different than
that used here The difference is that they use the effective mass m inshyo
stead of m in evaluating I1 in (l0) The theoretical expression given byf
BBP for their 1-13 r at T = OOK is
11
08
1
06
o ~ 0
4
I-
N
02
o
TH
IS
WO
RK
0CD
l G
I
LO
o -P
3 -
3
R
0-
Ifff
e
f 01
EX
PE
RIM
EN
TA
L
a _
Ed
wa
rds
tit
01
I L
0-P
3-
3
R
005
0
10
015
0
20
0
25
x F
igu
re 3
T
he
Ferm
i T
em
pera
ture
an
d D
ev
iati
on
of
the C
hem
ical
Po
ten
tial
fro
m t
he I
deal
Ferm
i -D
irac V
alu
e
2 NA J2kf 2 k =Eo + (N Iv) V(O) - -2 k (1 - 2k ) V(k) dk (14)A 41T 0 f
where E is the binding energy and is independent of concentration The o
second and third terms on the right side of (14) are the Hartree and exshy
change corrections to ~3 To be consistent with the theory of BBP and
Ebner the ~31 defined by (10) and used here should contain an additional
term equal to the difference between ~f evaluated at mo and m However
when this additional term is neglected the theoretical ~31 from (14) fits
experimental data very well even for temperatures up to O 6degK as will be
shown very shortly Inclusion of the additional term requires ~3 to be
temperature dependent to give agreement with experimental values at
finite temperatures This temperature dependence has been worked out
by Ebner only for the high and low temperature limits Since the primary
purpose of this paper is to find a model which can be used to fit experishy
mental data over a wide range of temperature and concentration the
additional term in (14) required by rigorous theory will not be considered
in this paper Equation (14) was evaluated numerically using Ebners
form of V(k) The quantity Eo + L3 deg is found from a best fit of the
theoretical ~3 + L3 deg to the data points in figure 3 Only the data for
X lt O 075 were considered for the fit since it will be shown that the data
at higher concentrations and temperatures require some correction
From this fit it is found that
(15)
and that
X t (T = O) = O 0640 (16)
13
J
is the limiting solubility of He3
in He4
at T = 0deg K fft et al t 9] report
a slightly different value of O 0637 for X t (T = O) from a T2 extrapolation
of their data The theoretical result for J t is given in Table 1 in addition3
to being shown in figure 3 Including the additional term in (14) would
yield the result O 282 degK for (1S) which agrees with the value given by
fft et al l 9] The uncertainty in V(k) however is such that the difshy
ference in the two results for (-Eo - L3 deg )R is inconsequential [19 21]
The discrepancy between experimental and theoretical values for
1 r at higher concentrations can be completely explained by correcting 1 03 3
4used in (12) to account for the presence of a small amount of He in the
concentrated phase This correction then changes the experimental values
tor J The term 1c which must be added to tl3 deg to give the chemical poshy3
tential of the concentrated phase was actually found by forcing the experishy
mental data for tl3 + L3 deg in figure 3 to agree with the theoretical result
shown in the same figure This correction term J is shown in figure 4 as c
a function of temperature For temperatures above O 4deg K this curve was
deduced from a smoothly drawn phase separation line bridging the gap beshy
tween the low and high temperature data shown in figure 1 Figure 4 comshy
pares this calculated behavior of 1 with two other results for J One of c c
these other results is based on the experimental work of de Bruyn Ouboter
et al lll] for the thermodynamic properties of concentrated solutions
down to about 04deg K The term 1 is calculated from their data by the c
relation IOGt)
- G t + (1 - X ) oX (17)1c - u X=X
u
where X is the concentration of the concentrated phase and G t is taken u
to be
G t = G -l X 1 deg + (1 - X) 1 0]3 4
= X (13 - 1 deg) + (1 - X) (14 - J deg) (18)3 4
14
I I
I I
I
08~------~------~------~-------r------~------~~~
CD-0 E
rn CD
1 0
-gt
0 =l I
--8-- de Bruyn Ouboter et 01
---0-- This Work
--- Regulor Solution Theory
06 I I
I I
I I
I
I fI
I I04
I I
I
I I
02
o 02 04 06
Figure 4 The Difference in Chemical 130tential Between the Conshycentrated Phase and Pure He bull
15
with G as the Gibbs free energy and -1 - -1 0 the difference in chemical4 4
potential between He4
in solution and pure He 4 The term (oGt joX)X=X u
is very difficult to evaluate from the experimental data but appears to
be fairly small For a first approximation that term is chosen to be zero
which then leaves -1 = G i A better approximation can be made Since c
the terms 1J and J must be the same in both the dilute and concentrated 3 4
phases the term oGtjoX must also be the same in both phases The
theoretical behavior of -1 - -1 0 and -1 - -1 (to be calculated later) in3 3 4 4
0
the dilute phase can be used to find oGtjoX This then results in a
negative value for oGi oX and makes -1 less than Gt The difference c
though is only significant above about O4degK but is still less than the
experimental uncertainty and so it is not shown in figure 4 The other
curve shown for comparison in this figure results from assuming that
the solutions behave as a regular solution This assumption should give
reasonable results in the concentrated phase at least for the higher temshy
peratures The details of the calculation for -1 from the regular solution c
theory are given in Appendix C where the concentration X as a function of u
temperature is listed in Table 6 It is evident from the curve shown in
figure 4 that the behavior of -1 which results in an exact agreement of c
experimental and theoretical -1 + L3 0 can be considered to be consistent3
with all other estimates of its behavior although possibly too high around
O 2 OK In other words the theoretical -1 I agrees with experimental data3
along the solubility curve within experimental error and no temperature
dependence of -1 f is necessary to give this agreement even for temperashy3
tures as high as O6degK Of course a small temperature dependence is
still possible in view of the fairly large uncertainty in -1c but -1 I is3
assumed to be independent of T in all of the present calculations In any
case a small temperature-dependent term would have very little effect on
most of the thermodynamic properties at all but the lowest temperatures
since -1 I contributes significantly to these properties only at low temperashy3
tures
16
By using the theoretical behavior of JI t and ~c (11) and (12) can3
be used to derive the theoretical phase separation teInperature as a
function of concentration This calculation is just the reverse of the
case where the experiInental 1-13 I was deduced froIn the experiInental
phase separation teInperature The results for the theoretical phase
separation teInperature are shown in figure 5 along with experiInental
values l 7 9] and are listed in Table 2 To sUInInarize the behavior of
the weakly interacting FerIni-Dirac gas Inodel using Ebners expression
for V(k) which was deduced froIn spin diffusion predicts an In(X)In3
in agreeInent with experiInent These values of In(X)In are used in3
the specific heat of a FerIni-Dirac gas which then correctly predicts 3 4
specific heat of He in He at all teInperatures In addition this Inodel
gives the correct concentration dependence of the phase separation
teInperature
The present definitions (10) and (13) for 1-13 and 1-13 deg result in large
negative values for these terInS at T = OOK due to the quantity L3 o In
addition any uncertainty associated with L3 deg appears in 1-13 and 1-1 0 The3
bull
absolute value of cheInical potential in any systeIn is arbitrary and it
Inakes nUInerical cOInputations siInpler if JI and JI are changed by a3 3
0
constant valu~ The terIns JI3
and JI deg are now redefined by adding L3 deg 3
to the right sides of (10) and (13) The new definitions then becoIne
JI3 (X T) =JI (X T) + JI3
I (X) + L3 deg (10)f
and
T
1-13 deg (T) = JT
C3deg dT - T J (C degT) dT3 o o
(13 )
17
04 bull
03
f- t shy
02
01
c
o 1fft et 01
EXPERIMENTAL C pounddttords et 01
O~~---L----~----~----~----~----~----~----~----~ O~ 008 010 012 014
X 3
Figure 5 The Phase Separation Temperature as a Function of He Concentration
18
Table 2
The Phase Separation Temperature or Solubility Curve for Dilute Solutions of He3 - He 4
X T X T (OK) (OK)
006400 00 0090 o 1946
006404 000946 0095 02129
00641 001486 010 O 2301
00642 00208 O 11 02616
00643 O 0253 O 12 02902
00645 00323 013 03166
00647 00377 014 03412
0065 00445 015 03644
0066 00606 016 03863
0067 00721 017 04072
0068 00817 018 04272
0070 00970 020 04647
0072 01102 0225 O 5075
0074 01223 025 05460
0078 O 1436 0275 O 5809
0082 01618 030 06097
0086 01789
19
where 1-1 t 3 is now shown as a function of X only The term 1-13 0 now beshy3
comes zero at T = 0 oK The entropy and enthalpy of He in He40 are
taken as
T [ _ S3(X T) = Sf (X T) = J C (X T)TJ dT (19)v
o
H (X T) =1-13 (X T) + TS (X T) = 1-13 (X) + L3deg + H (X T)3 3 f
T
= 1-113 (X) + L 3 0 +RTf + (53) J C v (X T) d T (20) o
3 4The osmotic pressure n of He in liquid He can be determined
from the relation
n V = - (1-1 - 1-1 0 ) (21)4 4 4
which follows from altering an equation given by London et al [3] In
(21) the term V =V -X oV lox = 27 58 - 3 30 X3 cm3mole is the4 m m
4partial molar volume of He in solution and is only slightly different than
4V 4 0 The right side of (21) is the difference in the He chemical potentialbull
4 4between He in solution and pure He and is easily evaluated from the
Gibbs-Duhem equation for constant temperature and pressure
dl-13 dl-14 (22)X - + (1 - X) - =0
dX dX
In integral form (22) becomes
XJ X (23)1-14 - 1-14 o -- - 1 _ X dl-13 o
20
which upon substitution into (20) yields
(24)
The integral is easily evaluated numerically since J is known as a3
function of X from (lot)
3 4 32 Properties of the Total He - He Solution
Up to now consideration has been given only to the thermodynamic 3 4properties of He in liquid He and not those of the total solution Howshy
3 ever in the case of the He - He
4 dilu~ion refrigerator operating in a 3
steady state the He contribution is all that is needed Ideally in this 3 4
refrigerator He diffuses through a stationary column of He so that the 4
He contribution is not needed for thermodynamic calculations For the
transient behavior of the dilution refrigerator or any other process where
the bulk liquid is involvedthe thermodynamic properties of the total
solution are needed The total specific heat and entropy are taken as [ 14]
(25)
(26)
where C 4 0 and S 4 0 are the specific heat and entropy of pure He4 Equashy
tions (25) and (26) are good approximations only for temperatures not too
close to the A point since the A point changes with concentration (see
fig 1) Below 1 0 K however C deg is very much smaller than C so the4 v
approximation is certainly good up to X = 03 for these temperatures At
1 5 D K the results for C from (25) begin to deviate considerably from
experiment [11] for X much above O 1
21
The enthalpy H (same as the internal energy U for the low temshy
peratures and pressures of interest here) can be calculated in three
different ways Unfortunately the results are not exactly the same in
each case The first method makes use of the relation
H = G + TS = X ~3 + (1 - X) ~4 + TS
= X H + (1 - X) (~ - ~ 0) + (1 - X) H 0 bull (27)3 4 4 4
To be consistent with (lOt) and (13 1)
rT H a = leo dT
3 J 3 (28) o
T H 0 = - L + L 0 +J C 0 dT (29 )
4 4 0
3 4 o
4where L 4 a is the heat of vaporization of pure He at 0 0 K The second
method uses
T H = Ho +J C dT (30)
o
0 0where H is the value of (27) at T = K The third method which is o
somewhat of a combination of the first two replaces H in (30) for o
X gt O 064 with the value of (27) on the phase separation curve instead of
at oaK The lower limit of the integral is also replaced by the phase
separation temperature The results obtained by this third method should
be a good compromise except for the fact that curves of H versus X for
constant T will have an abrupt change in slope at X = O 064 which would
be unrealistic The second method was chosen for these calculations
and will give the same results as the third method for X S 0064 Since
the theoretical behavior of C agrees so well with experimentthe resulting
22
values of H should be quite accurate at least for X s O 064 The second
method eliminates the abrupt change in slope at X = O 064but the result
for H above this concentration may not be quite so accurate The first
method suffers from the disadvantage that it relies entirely on the theoshy
retical behavior of ~3 and ~4 both of which are more uncertain than the
calculated C The difference in H caused by using the various methods
is only a few parts per thousand This difference is greatly magnified
however when the excess enthalpy
(31 )
is considered The first method can give values for HE which are 15 to
20 percent higher than the second method for large values of X This
difference is due mainly to a temperature dependence of -1 that is not 4
quite consistent with properties such as specific heat Possibly a small
temperature dependent term in ~3 I might correct this inconsistency
From (31) and (27) it is easy to see that at T = OOK HE is just (1 - X)
3 4The vapor pres sure of He - He solutions is found from a trial
and error solution of the equation
J
(32)
3where X is the He molar concentration in the vapor P3 deg is the vapor
3 pressur of pure He and the Bs are the second virial coefficients for
3 4 He and He from the work of Kilpatrick et al [22] Equation (32)
follows from a combination of expressions given by de Bruyn Ouboter
et al [23] A very good approximation for X at least for temperaturesv
23
above about O 5degK can be found from the theory of regular solutions In
this case [ 23]
X (1 - X) p 0 v
p 3 0 exp [ (W RT)(l- 2X)] (33 )
X (1 - X ) shyv 4
where p 0 = p deg exp (B p degRT) is the fugacity of the component i and W 1 1 11 1
is a constant taken to be WR = 1 37degK [24] The results of (33) for X v
are substituted into (32) to find p
The heat of vaporization of a binary solution can be treated as
either integral or differential depending on the conditions of vaporization
[ 25] When a quantity of liquid solution is completely vaporized so the
initial liquid concentration and final gas concentration are equal the
integral heat of vaporization is absorbed in the process This integral
heat of vaporization is ApX if the process is done at constant pressureand
A if done at constant temperature For the low pressures dealt withTX
here the gas phase can be treated as ideal and thus the enthalpy in both
the liquid and gas phase are independent of pressure The integral heats
of vaporization can then be written as
ApX + R(T - TI) = A =XL deg(T) + (I-X) L deg(T) - ~(X T)TX 3 4 (34)
where T is the final temperature in the constant pressure process and 3 4
L3 deg (T) and L deg(T) are the heats of vaporization of pure He and He at4
the temperature T The term -~ gives the deviation from the ideal
heat of vaporization and is just the negative of the excess enthalpy
If a mole of gas is formed from an infinite reservoir of liquidthe
heat absorbed is Avt the differential heat of vaporization In this proshy
cess the gas and liquid phase concentrations are different From the
work of Ruhemann [25]
24
E r E ( ) (X _ X) 0 H (X T) (35)+L-H X T - v oX J
The term in brackets gives the deviation from the ideal differential heat
of vaporization and will be denoted as AE vt
3 43 3 Applications to the He - He Dilution Refrigerator
A schematic diagram of the He3
- He4
dilution refrig~rator is 3
shown in figure 6 Nearly pure He gas leaves the vacuum pump at a 4
pressure of about 30 torr and passes through a pumped He bath which 3
condenses the He bull After passing through a flow limiting capillary the 3
liquid He is cooled by passing through the still and the heat exchanger 3
The pure He liquid enters the mixing chamber or mixer where it 3 4
floats on top of and is in equilibrium with a dilute solution of He in He bull 3
For very low temperatures the dilute solution contains 64 percent He bull
This 64 percent solution communicates with the solution in the still via
the return line in the heat exchanger For the solution in this return line to
be in mechanical equilibrium the chemical potential jJ4 must be the same
throughout the tube Since the te~perature of the still is higher than the
mixing chamber the concentration of the solution decreases as it apshy
proaches the still From results to be given later the concentration in
the still is about I percent for T 5 = o 6 0 K where T 5 is the still tempershy3
ature As this liquid vaporizes in the still nearly pure He is removed
from the solution provided of course superfluid film flow is greatly 3
restricted To complete the cycle the He gas is compressed to about
30 torr at room temperature and returned to the condenser As the conshy3
centration in the still is lowered He will diffuse from the 6 4 percent
solution in the mixing chamber through the heat exchanger to the still
25
He4
~J--~~
He4 -I He3
He3 VACUUM PUMP - 300 OK
CONDENSER 08 -12 OK
CAPILLARY
STILL 06-07 oK
HEAT EXCHANGER
MIXING CHAMBER
He4 shy QOI-QsoK 64 He3
He3
3 4Figure 6 SChematic Diagram of the He - He Dilution Refrigerator
26
3To preserve equilibrium in the mixing chamber He must pass from the
upper rich phase to the lower dilute phase to maintain a 64 percent conshy3
centration in the latter In so doing the He absorbs heat if the temperashy3
ture is kept constant As the He dIffuses through the nearly stationary 4 3
column of He in the heat exchanger it cools the incoming pure He
stream in the heat exchanger A thermodynamic analysis of the dilution 3 4
refrigerator in a steady state uses only the properties of the He in He 4
since the He is stationary in the ideal case
The heat absorption rate of the dilution refrigerator is of fundashy
mental importance to those interested in the capabilities First consider 3
the case where only pure He is circulated by the pump By treating the mixer as an open thermodynamic system this heat absorption rate Q in
the steady state at a temperature T can immediately be written as an
enthalpy difference
(36)
3where n 3 is the molar circulation rate of He the first term on the right
3 4is the enthalpy of He in He along the lower or dilute solubility curve
3and H3cT ) is the enthalpy of He in the incoming concentrated stream
i at temperature T When the mixer temperature is below about O 2 0 K
1 3
the concentrated phase is nearly pure He and so the incoming stream 3 c
must also be nearly pure He bull Thus H3 becomes equal to H deg Howshy3
ever at higher temperatures the concentrated phase in the mixer will 4 4
contain a certain amount of He It is possible for this He to diffuse up 3
the incoming He stream to cause some dilution above the mixer To
calculate the heat absorption in the mixer the concentration of the stream
just as it leaves the last heat exchanger must be known If the velocity of 3 4
the incoming He stream is high enough He will be prevented from
27
diffusing up as high as the heat exchanger E~pressed analytically the 3 bull
stream leaving the heat exchanger will be pure He for n3 LVmDA raquo 1
whereas for ~ 3 LVmDA laquo 1 the stream will have the same composition
as the concentrated phase in the mixer In this expression L is the
length of tubing from the last heat exchanger to the mixer V is the m
molar volume of the incoming stream D is the diffusion coefficient of 4 3
He in He and A is the cross-sectional area of the tube In practice
something between the two extremes most likely will occur The enthalpy
3 l H 4 h d I 1o f He 1n a so utlon conta 1n1ng some e 1S rat er uncerta1n an so 1tt e 4
can be said about the heat absorption in the extreme where the He easily
diffuses up to the heat exchanger However from the work of de Bruyn 3
Ouboter et ale [11] it looks as though the enthalpy of He in the incoming
stream at about O 6degK will be on the order of 10 percent higher than H3 o
The difference between H3 c and H3 deg decreases to zero at about O 2 deg K
Equation (36) should be very accurate when H3c can be taken as
H3 deg since H3 is known very well along the solubility curve Though in
principle H3 (X T) can be found from (20)an alternative method fort
temperatures of O 1 deg K and below has been chosen If the incoming pure 3
He stream is at the same temperature as the dilute solution then the
process is reversible The heat absorption is then given as
Qr(T)~3 == T[8 (X T) -8 deg(T)] (37)3 t 3
from which it follows that
H 3 (Xt T) == Qr(T)n 3 + H3deg(T) == T[ 8 (X T) -8 deg(T)] + H deg(T)
3 t 3 3
(38)
Values of H3 and 8 along the solubility curve are obtained by second3
order interpolation in tables of H3 and 8 as functions of X and T Howshy3
ever interpolation in the 8 table is much more precise than that of the3
28
H 3 table for temperature of O 1 oK and below This is because J r + L3 deg 3
and RTf in H3 are very large numbers which cancel each other exactly
at OOK on the solubility curve Their resulting contribution to H3 slightly
above OOK on the solubility curve is subject to considerable error unless
both terms are evaluated to a great number of places Thus H3 (X-t T)
is evaluated from (38) for temperatures of O 1 OK and below Above T
O lOK (53)I C dT is the dominating term in H3 and so H3 (Xf T) is V
oaccurately obtained by interpolation in the H3 table Values for H3 deg (T )
iare taken from Appendix B
4In the case where the gas circulated contains some He the calshy
culation of heat absorption can become very complex especially at temshy
peratures above about O 2 OK Since operation of the refrigerator above
this temperature is of limited interest analysis of the heat absorption at
these temperatures will not be made Below about 02 OK the amount of 3
pure He available for refrigeration is reduced to
(39)
where X t is the concentration of the dilute phase at the temperature T i 3
n is the number of moles of gas mixture circulated and X is the He conshy
centration in the circulated gas The dilute solution already separated
out at T will contain 1
( 1 - X)n 3t =nXt 1 - X (40)t
3 4moles of He bull Neglecting the very small He contribution the heat absorpshy
tion rate in the mixer per mole of gas m~ circulated can be written as
29
middot Q(TT) 1 r X - X t ) 1 - X J
o = X H3 (XtT) -L(l _ X H3deg (Ti)+X 1 _ X )H3 (X Ti )n t tA A
(41 )
where all the X t inside the brackets must be evaluated at T i
For low flow impedences in the dilute stream between the mixer
and stillthe solution will be in mechanical equilibrium throughout its length
This equilibrium condition is expressed by ~4 = constant and from (21 )this
implies that the osmotic pressure must be constant at least for low
temperatures where d~4 deg dT is extremely small and for low concentrashygt
tions where V 4 is nearly constant At higher temperatures (T O 5degK)rJ
the change of ~ 4 deg with temperature must be taken into account When
this is done the condition ~4 = constant then is equivalent to IT + p f =
constant for small X where IT is the osmotic pressure and P is thef
4fountain pressure of pure He defined and calculated from (80) in Appenshy
dix B For high concentrations the condition IT + p f = constant does not
hold exactly since V 4 in (21) changes slightly with concentration However
the difference in V 4 between X = 0 and X = O 3 is only O 3 percent Given
a temperature and concentration in the mixer the concentration anywhere
in the heat exchanger or still may be found from curves of the osmotic plus
fountain pressure or to be exact curves of ~4 In practice a small 3
gradient in the osmotic pres sure must exist to drive the He through the
heat exchanger and may not always be negligible The calculated conshy
centration in the still then represents an upper limit and the deviation
from this value can be found if the flow impedance of the heat exchanger
is knowno Fourth order interpolations can be carried out in a table of
~4 to find the concentration as a function of temperature Once the conshy3
centration in the heat exchanger is known the entropy of He anywhere
along it is easily found from fourth order interpolation in the S 3 table 3
The specific heat of the He at constant ~ designated as C is then 4 ~4
30
given as 08
1 3 ) (42)CjJ = T ~ aT
4 1-L4= const
The differentiation of S 3 is carried out after fitting the data for S 3 at
constant 114 with a third order polynominal in T It should be obvious
that C will be a function of the mixer temperature as well as the local ~4
temperature since the former determines the osmotic pres sure in the
system
The vapor pres sure and vapor concentration in the still as a
function of both still and mixer temperature can be easily found from
interpolation in the p and X tables using values of X in the still as detershyv
mined from the condition 114 = constant in the dilute stream The heat QS
required to vaporize a mole of liquid in the still has contributions from 3 4
both the He and the He vaporized Because of the large heat of vaporishy
zation of He4 this contribution which is given by (1 - Xv) L deg(T) can4
3 not be neglected The He contribution is Xv L (T) where L (T) is just
3 33
the difference between the enthalpy of He in the saturated vapor and in 3
the dilute liquid The He vapor enthalpy can be written as H3 deg (T)
+ L deg(T) From this it immediately follows that3
(43)
where
(44)
is the deviation from the ideal heat of vaporization and n is the gas flow rate
The interface between the dilute and concentrated solutions must
remain in the mixing chamber if the refrigerator is to operate properly
Thus it is important to examine just where this interface will be for all
31
possible sets of conditions The assumption is made at this point that
the liquid volumes in the heat exchanger and condenser are negligible
compared with the volume of both the still and mixing chamber The
volume of the still containing liquid immediately after the initial filling
and before circulation begins is written as
v = r V (45)s mc
where V is the total volume of liquid in the mixing chamber If the mc
whole system is filled initially with n moles of solution at a concentration
of X then the initial volume of liquid is o
o n V = V + V = V (1 + r) (46)
m mc s mc
where V 0 is the molar volume V of the solution from (5) for a con-m m
centration of X During operation of the refrigerator phase separationo
occurs in the mixer and h is the fraction of mixer volume occupied bym
the dilute solution The total volume of solution during operation will be
different than the initial volume which then results in a change in liquid
level in the still Let the ratio of present to initial volume of liquid in
the still be h Both hand h are found from a solution of the simultashys m s
neous equations
(1 - h ) V X Iv u + h V X p Iv t + h r V X Iv s = nX m mc u m m mc V m s mc s m 0
(47)
(1 - h ) V Iv u + h V Iv t + h r V Iv s = n m mc m m mc m s mc m
(48)
where the subscripts and superscripts u t and s on X and V refer to m
the concentration and molar volume in the upper concentrated phase of
the mixer in the lower dilute phase of the mixer and in the still The
32
3first equation represents the total number of moles of He in the system
and the second gives the total moles of solution Substituting (46) into
these two equations yields
rX (1 + r) X XXt Xu s o u ( - --) h + h =----shy (49)
s s o uV t V u m V V V m m m m m
h = (1 + r) 1 (50)
s s o u V V
m m
after rearranging The values used for X are given in Appendix C u
Problems associated with the heat exchanger can be eliminated by
operating the refrigerator in a single -cycle process In this case the heat 3
exchanger is unnecessary since pure He is not returned to the mixer
Vilches and Wheatley [5] have reached O 0045deg K with this method and 3
maintained it for about an hour before depleting the He bull The proce s s is
reversible and thus for isothermal operation the heat absorption is simply
given by (37) However for T gt 0 0 1 0 K the term S3 deg should be replaced by 3
the entropy per mole of He along the solubility curve for the concentrated
phase although the difference is significant only for temperatures above lt
about 02 or 03degK For T 001 OK it is evident from (38) that (37) beshy
comes identical to H3 (Xt T) - H3 deg (T) = Q(T T)~ 3 which is the maxishy
mum value of Q(T T i)~ 3 and is a fairly good approximation for temshy
peratures up to about O 2 or O 3 deg K The greater refrigeration rate is
gained only at the expense of sacrificing the continuous nature of the 3
dilution refrigerator The amount of He remaining in the mixer after
the lowest temperature is reached is important to know thus analysis
of the transient mode is needed The natural assumption is made that
the heat capacity of the mixing chamber itself is negligible compared with
33
11
I
III
the solution Unless a large amount of cerium magnesium nitrate is used
as the thermometer the as sumption is very g~od Again by treating the
mixer as an open thermodynamic system the change in entropy of the
total system can be expressed as
oQ (51)d8t = T + on 8 J3 3
where oQ is the increment of heat absorbed for the incremental change 3
on of He in the system Equation (51) can also be put in the form3
d8
Qn3 =T-t_8) (52)dn 3
3
where Q is the heat input rate and ~ 3 the molar rate of change of He3
in 3
the mixer- and 8 is the He entropy along the dilute solubility curve3
If n is the number of moles of dilute solution and if the concentrated t 3 lt
solution is assumed to be essentially pure He (T O l5degK) then
8 t = n t 8 + n3 8 3 0
J (53)
where 8 is the molar entropy of the dilute solution from (26) The
derivative becomes
dS t OS dT dnt d8 3 deg dT 0
T dn = n t T OT)X dn + T8 dn + n3 T ciT dn3 + T833 3 3
e dT dnteo dT
= n -d + T8 -d + n3 -d + T8 0 (54)
11 n3 n3 3 n3 3
The mere process of cooling the liquid will automatically cause a small 3
transfer of He from the dilute to the concentrated phase This is evident
from application of the leverage rule to the phase diagram For tempershy
atures les s than about O 15 0 K this effect is quite small and so dnt l dn3
is
34
taken to be zero One calculation was made for a starting temperature
of O 3 oK In this case dnedn was still taken as zero but the value for C3
-1 -1 was taken as [7] C = 64T joules mole deg for a 124 percent solution
below 03 oK instead of using a 64 percent solution Combining (54) and
(52) yields the normalized equation
dT 03 + T (S3- S3deg) (55)
d(n n ) - (ntno) C + (n n ) C deg 3 o 3 o 3
3where n is the original number of moles of pure He in the mixer The
o term T(S3- S3deg) is the same as H (X T) - H deg(T) for T lt O 10K
3 t 3 Equation (55) was solved numerically for T as a function of n3no with
several different values for ntno and 6~ 3 In choosing values for
6~ 3 a value for the ultimate temperature to be reached is picked and
-6~ 3 is set equal to T(S3- S3deg) at that temperature
3When all the pure He is extracted from the mixer continued
3pumping will then begin to remove He from the remaining dilute solution
The obvious question is will this continue to produce a refrigeration effect 3
As the concentration of He in the dilute phase is reducedthe osmotic
pressure is lowered thus work is being done by the system Since the
process is reversible (52) also describes the behavior in this case
However S now becomes t
S t =n3 S 3 + n 4 S 4 deg (56)
so that
(57)
The term n3 dS dn can also be expressed as3 3
35
dS 3 i 08 3 dX oS3 dT n3 dn
3 =n3 oX JT dn
3 + n3 aT)Xdn3
08 3 C 3 dT] = X (1 - X) [ oX) + T dX
T (58)
where the relation X = n3(n + n4) has been used When (58) is entered3
into (57) (52) may be written as
oS bull bull - I 3 dT ]Qn 3 = X (1 - X) LT
oX)
T+ C 3 dX
(59)
3The term (oS3oX)T is always negative and so heat is given off when He
is added to the system (xi 3 gt0) but heat is absorbed during removal of
He3 (~3 lt 0) Since S3 approaches infinity as X decreases to zero the
limit -0 3 00 as X 0 must follow for T =constant However the 3
total isothermal heat absorption per mole of He originally in solution
when going from the concentration Xi to X f given by
l X oS i - Xi r f X (_3) dX
bQno = T x ) j X 1 - X oX T 1
1 (60)
has a finite value for X 0 This is so because S3 increases only asf
-23X for X o
Cooling may als 0 be accomplished by adding pure He4 to a dilute 4
solution through a superleak If the incoming He is at the same tempershy
ature as the dilute solution then the process also would be reversible
In the reversible cc-se the heat absorbed is also given by (52) but with S3
replaced by S 4 0 and n3 replaced by n bull From the system entropy in (56)4
the derivative becomes
36
(61)
which then leads to a heat absorption rate of
bull 2 r (deg53) dT ]Qn 4 = - X l oX + C 3 dX
T (62)
Even though (62) is always less than (59) n is not limited by a pumping
4 rate and therefore can be made much larger than rl Hence Q could be
34
made larger in this second case where He is added to the solution comshy3
pared with the case where He is removed from the solution However 4
in practice the incoming He will always be at a temperature T which is 1
higher than T This reduces the refrigeration rate to
(63)
4where the last term in brackets represents the heat load in cooling the He
3from T to T The total heat absorbed per mole of He in solution when
1
going from the concentration Xi to X at T = constant is thenf
~Qn3 = T[5 (X T) - 5 (X T)] - [(Xi - Xf)X X ] [H deg(T ) - H deg(T)] bull3 f 3 i i f 4 i 4
(64)
For Ti = T this expression approaches infinity as X goes to zero Forf
X laquoXi the last term in (64) becomes (1X )[H deg(T ) - H deg(T)]f f 4 i 4
4 Results and Discussion 3 4
4 1 Properties of He in Liquid He 3 4
The entropy of He in He calculated from (19) is shown in
figure 7 as a function of temperature for various values of X The
37
50 M gt1
40
TO Q)
0
I~ 30 0 E en Q)
J 0
J
gtshya 200 a r z w
pure He3
o 01 02 03 04 T oK
3Figure 7 The Entropy of He in Liqui~He 4
as a Function of Temperature for Various He Concentrations
38
3 entropy of pure He is also shown for comparison All the properties of
4 3He 3in He are listed as per mole of He Of special interest is the entropy
for X = O 064 in the low temperature limit which is given as 53 = 107 2 T
joules deg-1 mole -1 This expression is good to within 1 percent for temshy
peratures up to about 004degK For those interested in more precise
values 53 is listed in Table 7 of Appendix D along with values of (05 oXT3
-4for temperatures below 1 5degK and X between 10 and 03 The horizontal
line drawn in the columns for X gt O 064 indicates the location of the solushy
bility curve The only uncertainty in 53 comes from the specific heat The
weakly interacting Fermi-Dirac gas model fits the measured specific heat
to within experimental error thus the experimental uncertainty of about
1 - - 2 percent is all that carries over to the calculated specific heat and
entropy The ideal Fermi-Dirac gas chemical potential IJ is listed inf
Table 8 since it may be useful for certain calculations
The enthalpy H3 from (20) is shown in figure 8 and also compared
with H3 0 Again more precise values are listed in Table 9 of Appendix D
It is evident from figure 8 that (oH oXT changes sign at about 02degK and3
that H3 for X lt O 064 becomes less than H3 deg for temperatures below O IOK
The effect of these two occurrences on the dilution refrigerator will be disshy
cussed in section 43 The enthalpy values contain an additional uncertainty
not found in the specific heat and entropy namely the uncertainty in
1-l3 r It can be speculated that the resulting uncertainty in H3 for high
temperatures will never be larger than the order of 5 percent The
greatest uncertainty will be for lar ge concentrations For concentrations
much less than 64 percent the error in H3 should be less than about
02 joulesmole at all temperatures On and very near the solubility
curve H3 will be nearly as accurate as the specific heat and entropy
The osmotic pressure has been evaluated from (24) The results
are shown in figure 9 and listed in Table 10 of Appendix D Table 10
39
8
Hi 0 57
~~------~------~~------~------~------~------~--------~----~
6 0 E shyen CI)
J 0
-)
4 gtshya J ltt J t-Z lampJ
2
o
Figure 8
01 02 T oK
03
The Enthalpy of He3
in Liqui~ He4
as a Function of Temperature for Various He Concentrations
04
40
-2
--------------------
IOOO
r----~~--r_~~~~~~----~--_r--r_r_~~~------r_--r__r~~_
IOO
J--
A
V~~~
-~
~
IDE
AL
FE
RM
I-D
IRA
C G
AS
X
=0
64
_
---
X=
0
64
10
X
=O
shy 0 ~
X=
OI
~
01
01
laquo
I
001
1
0
Fig
ure
9
01
01
T o
K
3 4
Th
e O
smo
tic P
ressu
re o
f H
e in
Liq
uid
He
as
a F
un
cti
on
of
Tem
pera
ture
fo
r V
ari
ou
s H
e3
Co
ncen
trati
on
s
also lists values for the expression -[ IJ4(X T) -1l O(T=O)] The fountain4
pressure Pf is shown in figure 9 for comparison with the osmotic pressure
The dashed line in the figure represents the osmotic pressure of a 64 3
percent solution if the He is treated as an ideal or non-interacting Fermishy
Dirac gas In that case IT is given as ITv = 23 U where U is the internalf f
energy of the ideal Fermi-Dirac gas It is evident that even weak intershy
actions can change the osmotic pressure considerably The limiting
values of IT at low temperatures are strongly dependent on the shape of
the (-1J r - L deg)R curve below X = 0064 andconsequently contain fairly3 3
large uncertainties perhaps the order of 10 percent Measurements of
the osmotic pressure for temperatures somewhat les s than T f would then
be extremely useful in determining the exact behavior of 1l3 I and the intershy
actions The classical expression [3] for the osmotic pressure
E TI V 4 = - RT tn(l - X) - iJ 4
(65)
4where 1l E is the excess chemical potential of He in the liquid solution
4 has been used in the past [3] for high temperatures The term 1l E conshy
4 tributes only a very small part to IT at these temperatures and thus IT
is nearly proportional to T For temperatures less than the order of
T f quantum effects come into play and prevent IT from going to zero at
T = OOK It is instructive to compare the calculated values of IT with exshy
perimental results at temperatures of O 8degK and above The comparison E
is most effective if 114 is observed instead of IIbecause any differences
in IT would be greatly magnified in 1lE
bull Figure 10 shows values of 1lER
4 4 calculated by (65) from the theoretical results for II V 4 The dashed lines
give two typical experimental values [ 3 24] for a temperature of 08 degK
The lack of agreement indicates more experimental results are needed
before any conclusion can be made about the reliability of the calculated
42
005~------------~------------~-------------------------------------------------------------------~
004
003
002
001
T 0 OK
-001
10
04
Data of London et of (T 08 OK)
o -=-- - 02
01
o 001 002 003
4Figure 10 Behavior of the Excess He Chemical Potential as Deduced
from the Osmotic Pressure of He 3 in He4 bull
43
II although the uncertainty in II is approximately an order of magnitude
less than that of 1-14 E R
3 44 2 Properties of the Total He - He Solution
Tables 11 through 13 of Appendix D list the specific heat entropy 3 4
enthalpy and excess enthalpy for the total He - He solution These 3
results are listed as per mole of solution instead of per mole of He as
in the previous section Figure 11 compares the values of HE calculated
from (31) with experimental results Lll 26] In general the agreement
is very good except for high temperatures and concentrations which is
to be expected from the model used here It is interesting to note that
HE becomes negative for temperatures les s than about O 15deg K This
inversion temperature is shown as a function of X in figure 16 (p 55)
denoted as curve ll Below this temperature heating rather than coolshy3 4
ing occurs when pure He and He are mixed together to form a solution
This result of course has no bearing on the dilution refrigerator since
in that case it is not the pure components which are mixed together The
reverse process separating a mixture into its two pure components
does produce some refrigeration and will be discussed in detail in section
43
3 4The vapor pressure of the He - He solutions as derived from
(32) are shown in figure 12 and listed in Table 14 The results in
figure 12 show the ratio PP3deg so that curves for several temperatures
can be included on one graph Again there is good agreement with exshy
perimental results L27] The experimental curve shown for O 4degK was
taken as the vapor pressure of the concentrated phase given approxishy
mately by P = Xu P3deg The vapor composition used in the calculation of
P is listed in Table 15 Fortunately X is not very sensitive to WR for v
X larger than about O 5 v
44
Q)-o E
fh Q)
l o ~
--------- T =OOK
-Ol~~--~~--~~--~--~~--~~--~~--~~~~~
08
06
04
02
o
I et 0 I
--0--de Bruyn Ouboter I 115degK
rJ Sommers et 0 I T = 102deg K II
- This Work I I
I I
I I
I cent I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I l
~~~___________ a
02
o 005 010 015 x
3 4Figure 11 The Excess Enthalpy of He - He Solutions as a Function
of He 3 Concentration for Various Temperatures
45
10 r------__--------------------
08
OS
o~ a
0
OA
010
O8degK 005 02
r 0 o 001 Q02
o 01 02 03
This Work
--- Experimentol
fill 015
x 3 4
Figure 12 The Vapor Pressure of He - He Solutions Divided by the Vapor Pres sure of Pure He 3 as a Function of He 3
Concentration for Various TeITlperatures
46
The differential heat of vaporization A is derived from (35) and vt
the term A E vt which represents the deviation from the ideal differential
heat of vaporization is plotted as a function of X in figure 13 The dash-v
ed part of the curves are in the region of X gt 03 and so represent intershy
polations The as sumption was made previously that the solutions could be
treated by regular solution theory to find X from a given value of X at the v
temperature T The relationship between X and X is therefore subjectedv
to some uncertainty especially for X less than about O 5 The term E v
A II from (35) uses both X and X which would appear to cause an unshyv~ v
Ecertainty in A However the term ~ in (35) is very nearly linear in
vt E
X which results in A being practically independent of X Thus for a vt
given value of X the uncertainty-in AE is nearly removed The directII
v ~ E experimental results of Sommers [28] and results deduced from H
data [11] are also shown in figure 13 for comparison
3 44 3 Applications to the He - He Dilution Refrigerator
The enthalpy H3 (X T) and entropy S3 (X T) along the lower t t
solubility curve are listed in Table 16 The maximum heat absorption
rate Q(T T)~3 calculated from (36) is also listed and applies to the case 3
where only pure He is circulated Plots of H3 (Xt T) H3 deg (T) and
Q(T T)~3 are given in figures l4a and 14b For temperatures less
than about O 04degK the expressions
Q(T T)n3 = 82 T2 joulesmole He 3 (66) I
fit the results within 1 percent These numbers are somewhat smaller
than those given previously by this author [ 29] since the binding energy
E was changed to fit the latest results [9] on the solubility curve The o experimental behavior of Q(T T)n is (83 plusmn 4) T2 joulesmole He 3
3
47
o -I
-2
-3cu
0 E
en
-4
cu
J
0 J -5
~
-t0
0
111
gt
lt
-6
-7
-s
-9 I
I I
I I
I
I
I I
I
a 0
1 0
2 0
3 0
4 0
5 0
6 0
7 O
S 0
9 1
0
I E
xper
imen
tal
I
Xv
Fig
ure
13
T
he D
ev
iati
on
fro
m t
he I
deal
Dif
fere
nti
al
Heat
of
Vap
ori
zati
on
of
He
3 -
He
4 S
olu
tio
ns
5
Q)
o E (J) 2 Q)
J o J
1 f 1( ~
IJ I I
IV J J
j I IJ
J
IV I H3 (Xl T) 1 I
~ I OfT T) 113 V I
L1 I J
IX J H3O(T)II I
I J II IJ
1 I IJ I I I(
II I JIfj I
1 V III V
J
2
2 5 2 5
Figure 14a Plots of H (X T) H (T) and O(T T)~ 3 =H (X T3 t 3 3 t
- H3 0 (T) for Low Temperatures
49
10
5
2
~lcP o E
fI) Q) 5 J o
J
gt-~
Q 2 -J lt c t- _I 210 W
5
2
-210 10 2 5 101 2 5 10deg 2
J II-2
I III i
IJ i V
II Ifj
H3 (X T)
J
JJ
~ h
JV W
JV
II rl
J I(
V 1
J
rj
J V
L
~
V~ ~ I
J
II
~ I ih ~I
J V Ill
W II j V
J LI 1 f
IJI( Jt Q(TT) h3 j
V )
(HffTJ
I 1
I 1
I JI
1
I
I
T oK
Figure 14b Plots of H3 (Xt T) H3 (T) and a(T T)~ 3 for High
TeITIperatures
50
3Peshkov [ 10] gave the value 100 T2 joulesmole He from his calculations
using X = 005 as the limiting solubility The same result would be
reached in the present work by considering a 5 percent solution Vilches 2
and Wheatley [5] also derlved the value 82 T but 59 percent was used
as the limiting solubility The uncertainty of the present results beshy
tween O 004degK and O 2degK for H 3
(X-f T) and Q(T T)~ 3 are estimated to
be about 2 percent judging from the experimental uncertainties in C 3
C3
0 and the solubility curve Above O 2degK the accuracy may not be
quite as good
For temperatures less than about O OlooK considerable uncershy
tainty exists in C deg According to Balian and Fredkin [30] the limiting3
temperature dependence of C deg should have the form C oT = 3 3
A [-fn(BT)] 12 The experimental results [31] below O OlooK neither
confirm nor deny this temperature dependence If this form is correct
then at sufficiently low temperatures Q(T T)ri would become zero though3
-6 temperatures less than 10 oK would probably be required A more
recent theory [32] shows that C degT approaches a constant value at3
3T = OOK A transition of He to a superfluid phase in either the pure or
dilute liquid would also alter the present analysis below the transition
temperature However neither of these effects should change the presshy
ent calculations at O 004 0 K and above
It is obvious from the curves in figures l4a and 14b that the 3
incoming pure He can be at a much higher temperature than the outgoing 3
dilute He and still provide refrigeration It can be deduced from (66)
that for temperatures less than about O 04degK the refrigeration power
goes to zero when (T T) = O 36 where T is the temperature of m 1 Q=O m
the mixer More exact values of this ratio are given in Table 16 and
are slightly dependent on T bull For small residual heat leaJlts the limiting m
temperature of the mixer is thus determined solely by the inlet
51
3 temperature of the pure He For example if the residual heat leak is
5about 1 ergmin or less for a circulation rate of about 2 x 10- moles
sec then the mixer will reach O 005degK for an inlet temperature of
0014degK Unfortunately heat transfer at these low temperatures beshy
comes very poor and it looks as though considerable research on heat
exchanger properties and design are required to reduce the temperature 3
of the incoming He to this low value
4 3Any He in the incoming He stream will reduce the refrigeration
effect as given by (41) for temperatures below about 02degK For temshy4
peratures of O 040 0 K and below the influence of He is easily evaluated
since H (Xf T) and H deg(T ) can be represented as in (66) Figure 153 3 i
3shows how the concentration of He in the circulated gas stream can
affect the refrigeration capacity in the mixer The figure shows plots of 2 2
(QT m)X obtained from (41) normalized by the quantity (QT m )X= 1
for various values of the ratio T T Values of T T near 1 0 can m 1 m 1
only be achieved with nearly perfect heat exchangers something quite
difficult at very low temperatures If it is assumed that the presence 4
of He has no effect on the heat exchange properties then T and T 1 m
will remain the same for all X and the curves will then show the ratio
(Q)X(Q)X=l The dashed line in this figure represents the reduction in
refrigeration capacity which would be due only to a reduced amount of 3
He bull Obviously this curve is quite different than the more exact curves
especially for low values of T T Most of this difference is due to m 1
the fact that some dilute phase with its very high heat capacity must be 4
cooled from T to T whenever He is present in the incoming stream 1 m
From the curves shown in figure 15 it is easy to see the importance of 4
eliminating He from the gas stream particularly at low temperatures
where T T will be low and near its ultimate value The other curve m 1 3
in figure 15 shows how the ratio (T T)Q 0 varies with the He m 1 =
52
01
V
J
IDmiddot
bull
08
06
04
02 o
02
0
4 0
6 0
8 1
0 x
Fig
ure
15
Th
e R
ati
o o
f M
ixer
Tem
pera
ture
to
In
let
Tem
pera
ture
fo
r Z
ero
Po
wer
Inp
ut
an
d t
he R
ati
o Q
T2
as
a F
un
cti
on
of
He
3 C
on
cen
trati
on
in
th
e C
ircu
late
d G
as
m
4concentration in the gas stream The effect of He on this ratio is
fairly small for less than about 50 percent He4
It will now be shown that the fractional change in T itself is m
only slightly larger than the fractional change in the ratio (T IT)a-om 1 -
This fact can only be found from an analysis of the heat exchanger A
system of several individual heat exchangers of the type used by Vilches
and Wheatley L4] will be assumed but only the lowest temperature heat
exchanger will need to be analyzed In the ideal case both the dilute and
concentrated streams will leave the lower heat exchanger at the same
temperature T The dilute and concentrated streams enter the heat 1
exchanger at the temperature Tm and Tb respectively At low temperashy-1
tures the specific heat of the two streams are C = 107 T joules mole -1 -1 -1 ~4
deg and C = 25 T joules mole ieg bull A heat balance is then made3
0
on the heat exchanger which leads to the condition
2 dT T dT
1 = O 81 (~) m (67)T T T
1 1 m
For T IT = O 36 this becomes dT T = O 11 dT IT Therefore m 1 11m m
T changes very little for a change in T and the fractional change in 1 m
T will be only about 11 percent larger than the fractional change in the m
ratio (TmTi)a=Oat least for (TmTi)a=O near 036 The ratio
(T IT )a decreases by about 7 5 percent when going from X = 075 to m 1 =0
X = 1 0 so T will decrease by about 83 percent for this change in X m
In the case where the two streams do not reach the same temperature in
the heat exchanger the change in T will be slightly less than in the m
ideal case
In figure 16 is shown the locus of points where H3 = H3 0 which 3
is designated the inversion curve III Diluting the He to any point below
54
05~----~------~----------------------
004
10
05 ------------------ o
006
002
PHASE SEPARATION
REGION
008
15 r---------------
04
03
o t shy
02
01
o
3 4Figure 16 Enthalpy Inversion Curves for He - He Solutions The
inset shows the high temperature end of the curve I
55
x
this curve without doing work results in a heating effect whereas above
this curve a cooling effect takes place This inversion curve I given by
(oH oX) = 0 is also shown in the same figure Below this curve the maxishy3
3 mum cooling effect is achieved by diluting the He no farther than the s olushy
3bility curve Above it maximum cooling occurs when the He is diluted as
much as possible but still remains above the curve 1 To prevent a loss
of refrigeration at temperatures below inversion curve I requires the 3
mixer to have a very small impedance for the flow of He so that dilution
below the solubility curve can not take place The technique of bringing
about extra dilution above curve I is discussed later The curve II in
figure 16 was mentioned in section 4 2 but for completenes s is restated 3 4
here Mixing pure He and pure He such that the resultant solution is at
a point below curve II results in heating whereas cooling results for a
point above curve II
The concentration in the dilute stream between mixer and still is
shown in figure 17 for various mixer temperatures These concentrashy
tions are for constant ~4 The specific heat C~4 of th~ He3
in the dilute
stream is shown in figure 18 also given for various mixer temperatures
For a mixer temperature of OOK the specific heat becomes C~4 = 1072 T
joules mole -1 deg -1 in the low temperature limit which is the same as
C for X = O 064 The classical value of 52 R would hold at high tempershy3
atures if the process was at constant IT instead of constant ~4 Values of
C~4 are useful in the design of heat exchangers and so are listed in Table
17 along with X and 8 for constant ~4 for several mixer temperatures3
The vapor pressure of the solution in the still is plotted in figure
19 as a function of still temperature with the mixer temperature as a
parameter The heat of vaporization of the liquid in the still and the
vapor composition (neglecting film flow) are both shown in figure 20
56
08
06
~
o
tshy~
04
02
PH
AS
E S
EP
AR
AT
ION
R
EG
ION
o 0
02
0
04
0
06
0
08
0
10
012
X
F
igu
re 1
7
Co
ncen
trati
on
Pro
file
s f
or
Co
nst
an
t J
4
TABLE 9
THE ENTHALIIY OF HE3 N HE4
H3 (JMOLE)
~ 00001 00002 00005 00010 00020 00030 00040 00050 00060 00080
ClO
0000 -210606 -208000 -202153 -194785 -1083391 -174107 -166024 -15e71 -152114 -140192 0001 0002 0003
-21002 -2~865
-211696
-20719 -206591 -205173
-111943 - 01329 -200368
-94652 -19425 -19361 i
- 83307 -183056 -182640
-174043 -173850 -173531
-16f)971 -1651111 -165547
-1511716 -1511578 -1511349
-52073 -151151 -151748
-140159 -140058 -139889
001l4 -2115134 -203543 -199 146 -192742 -82066 -173087 -165178 -158030 -151464 -139654
0006 -211285 -199965 -96198 -190460 -180476 -171839 -164 135 -157124 -150658 -13e9A4 0008 0010 0012 0014
-1Q7317 -1Q3291 -1J1923j -1R515ii
-196171 -192268 -188302 -18494
-192854 -189284 -85576 -181775
-18767Q -18456 -08122 -177727
-1711385 -175903 -73125 -170120
-170151 -168084 -165706 -163074
-162706 -160928 -158844 -156500
-15876 -154308 -15449 -150333
-149543 -148134 -146451 -144521
-138053 -1middot36870 -1035445 -133793
0016 -1A1054 -1110258 -177910 -1741111 -166940 -160235 -153937 -147995 -142368 -1031931 0018 0020 0075 0030
-1769411 -172834 -11I252 -1I219i
-176202 -172130 -161905 -151636
-173997 -170048 -160065 -149977
-170425 -16666 -157065 -147267
-163624 -160200 -151286 -142023
-157229 -1540 86 -145774 -136993
-151190 -148287 -140001 -132158
-140465 - 104279 -130448 -127500
-140022 -137504 -30596 -1n009
-129877 -127650 -121438 -114483
0035 -141850 -141340 -139823 -137341 -132528 -127894 -123424 -11QI05 -114927 -106962 0040 -141497 -131025 -129623 -1273211 -122869 -1111567 -114406 -110379 -106475 -09900 0015 -11l3 -120697 -19391 -117251 -113091 -109070 -105177 -101 401 -097736 -090711 0050 -110771 -110359 -109134 -107127 -103222 -099445 -095783 -0922211 -088774 -082144 000 -090029 -089661 -~8E1568 -0877 -083287 -079910 -07633 -07~448 -070349 -064389
0070 -09278 -068944 -067953 -066329 -063168 -060108 -057138 -054251 -051440 -046030 OOAO -049520 -048214 -047305 -045817 -0middot42923 -040122 -03 7404 -034762 -032190 -027241 0090 0100 0120
-0~7757 -Oii699i 04540
-027474 -006727
034782
-026634 -005945
035470
-025259 -004666
036595
-022586 -002182
038774
-020002 000218 04n874
-017496 002543 042905
-015061 004801 044874
-012691 (11)6991 046186
-001133 011218 050452
0140 076096 076304 076921 0779lt5 079866 081731 083531 08S273 086960 0Q0186 0160 01110
11 764shy159203
117837 159376
1 8394 59884
119301 1060711
121050 162300
122725 1631117
124338 165274
12158Q4 16676
127398 16A028
130266 170595
0200 2n0761 200920 201387 02145 203599 204983 206307 207578 208800 211112 0250 314663 304795 305182 305807 306996 308117 309182 310196 11l63 312972
0300 4n8571 408684 409012 409538 410531 411459 412331 413154 413932 415367 0350 0400 0450 0500
512485 6640[170]2n 8lt4240
512582 616486 720394 824305
512864 616730 720608 824493
h13313 6171111 720944 1124786
514154 617836 721561 825317
514Q31 618491 722115 1125785
515653 61 9093 722616 82c201
51328 619647 723070 826571
516Q58 1120157 723482 826899
51100 621deg3 724191 A27441
0550 928161 928lt19 928384 Q28641 929097 929491 929834 930131 930387 930786 0600 0650 0700 0750
1O~2084 1146007 12993 1343854
1032135 1136052 1239970 1343890
1032280 1136180 12 40084 143989
103t504 1136375 1240253 1344136
1032895 1136710 1240536 1344373
1033226 1136983 1240760 1344551
1033505 1131206 1240932 1344679
O33738 1137384 1241060 1344761
1033931 1137520 12411 47 1344804
1034205 1137684 1241212 1344781
01100 1447779 1447810 1447897 144AG23 1448219 1448356 1448443 14411485 14411487 1448383 0850 151704 1551731 1551807 1551914 1552073 1552112 1552221 155226 1552192 1552015 0900 1605629 1655653 1655718 16558011 1655932 Hbullbull 55997 1656012 165119114 1655915 1655672 0950 1000
17955 18f3480
1759576 1863498
1759631 1863545
1759705 U63604
1759797 1863667
1759831 1863672
1759815 11163627
1759755 18 63538
17t0655 lR63410
1759351 11163048
11(10 2071333 2071345 2071376 2071409 2071419 2071372 2071275 2071135 2070955 2070492 1200 1300
l7918 lt4A7030
2279194 2487043
2[179211 2487048
2279220 2487037
2gt791115 24F16962
2279092 2486828
2278950 248c646
22711764 2486421
2278540 2486157
2271Q88 2485527
1400 1500
69489 29n2747
2694893 2902744
2694887 2902728
26948511 2902683
2694747 2902540
2694578 2902338
2694360 2902089
2694100 290796
2693801 2901466
2693100 2900702
Page 101
TABLE 9 laquoCONTINUED)
HJ IJMOLE)
T~X 001011 1)0150 00200 00250 00300 00350 00400 00411i0 00500 005-0
flO
0000 -19~4 -107331 -088986 -073383 -059844 -047941 -037382 -027953 -019495 -011881 0001 -19612 -101308 -n88967 -il73367 -059~30 -047928 -037370 -027942 -019484 -011871 0002 00113
-19524 -19H9
-107lt41 -10729
-n88912 -ii88~118
-07331t -073238
-059786 -059715
-047889 -047824
-037334 -037274
-027908 -027853
-laquo)19453 -1119401
-0l1i4i -011793
001)4 -1gt9175 -106972 -ii88688 -073125 -059614 -047733 -03790 -027775 -019328 -011724
0006 -118590 -06525 -088317 -072802 -059327 -047472 -036951 -027553 -019120 -0011528 0008 0010 0012
-17787 -1gt757 -1gt5516
-105902 -105103 -104133
-ii87797 -~ 8732-086321
-1172352 -071 774 -071069
-058925 -0011410 -057782
-047108 -046640 -046070
-036616 -036186 -03MI
-027241 -02842 -026354
-018828 -1118454 -017998
-Ol1254 -010901 -010470
0014 -1gt057 -102994 -ii853611 -070239 -057041 -045397 -035041 -025779 -617458 -009962
0016 -1gt2409 -11)1692 -084274 -069286 -056189 -044622 -034329 -025116 -016837 -009377 0018 0020
-1105711 -118076
-100233 -098622
-083043 ii81678
-068210 -067015
-055227 -054157
-043747 -04gt773
-033523 -03224
-024366 -02J530
-1116135 -1115351
-0oa74 -007975
0025 -1 i2920 -093983 -071710 -063522 -051018 -039910 -029982 -021069 -013042 -000796 0030 -1n650 -088571 -073012 -059300 -047248 -036458 -026788 -018089 -010242 -003150
0035 -099117(1 -1182512 -067670 -054559 -042891 -032450 -023067 -014609 -006967 -000052 00110 0045 0000 0060
-091956 -0114059 -075852 00872
-075911 -068859 -061431 -0 45675
-ij61772 -ii55396 -~48607 -034016
-1149215 -laquo)43385 -0371ZA -023534
-nn996 -0J2617 -0gt6806 -014069
-027925 -022924 -017492 -005500
-0lBe51 -014172 -009067
002274
-010654 -006252 -0oi432
009334
-11113237 ) 00926 005497 015751
003484 0middot07438 011798 02584
0070 -0088) -029007 -018365 -00877A -1)00107 007758 01 4901 021 397 027304 032674 0080 0090 0100
-02252~ -113795
0i531
-011660 0116205 024471
-iin1911 ~15164 032732
006877 023239 0 40115
014828 030538 046875
022039 037151 052942
0 28589 043150 05tl433
034543 0411596 063405
1)39956 1153538 067904
044873 0511018 071971
0120 039Z7 061A96 ii6lS982 n75317 080999 086108 0911702 094829 0911530 101h2
0140 0)3234 100181 106307 111741 116570 120867 124693 128092 131101 13-754 0160 0180
1296 172999
139068 178394
44396 183046
149071 1amp7073
103119 90563
156791 193580
159955 196178
162720 1911393
165125 gt00265
167198 201826
0200 23265 2181153 22123 225592 228543 2JI042 -33139 234875 236282 237388 0250 34630 318gt16 321128 323479 325350 J26801 327P81 328629 -29077 329253
0300 46656 419342 421383 422889 423937 424588 424888 424875 424579 424028 0300 0400 0450
59101 6183)74760
521081 623239 725697
522437 1124037 726031
523275 6211333 125873
523673 624200 125296
523689 623695 724357
523367 622864 723099
52745 62i743 721 558
521854 120361 719763
520718 618743 717740
0500 8785) 828379 1128319 A27775 1126820 820510 1123888 821988 A19841 II 17470
0500 9 on 054 931234 930834 929956 928675 927043 92105 92gt895 920442 917769 0600 104349 lO34225 lii33527 1032358 1030790 102A877 1026662 1024180 1021457 101819 0650 0700
117718 12411 49
1137325 240516
1136364 1gt39320
113493A 1237663
1133116 1gt35615
1130954 1233231
1128494 1230551
1120769 122760
1122809 1gt24436
1119636 li21052
0750 1344630 1343781 1342374 IJ4(1510 1338258 133t673 1332796 1329660 n26294 132-720
0800 1448153 1447109 1445511 1443459 1441022 14311255 1435199 14 31 887 1428346 1424599 0850 0900 0950 1000
155171- 165530 ]7lt8921 181I256
1550491 1653918 175786 IIloOIl88
1548718 151986 1755307 1858673
154495 1149606 1752782 11156015
1543890 1646847 1149881 11152982
1540957 H bullbull 43762 1741656 1849627
1537737 1640392 1743148 lIh4S992
1534264 163770 1739389 18 4Z107
1530563 1$32924 1735408 11138001
1526660 1628876 1731227 1833697
1100 20990 2()67982 21)65523 2062625 2059356 2055769 2051904 2047793 21)43463 2038937 1200 227731 2275173 2272501 2269394 Zi65919 2262129 2258063 2253754 2249229 224451)9 1300 1400 1500
4A4774 2692278 2899AIA
2482443 2689776 2897163
2479583 2686749 21193985
2476290 28329 2A90379
2472634 2679473 211S6415
2468664 267t343 2AB2141
2464421 2670942 2877598
245q937 2666302 28728 18
2455239 2661449 2867826
24511347 2656405 2862644
Page 102
TABL 9 (CONTINUEO)
H3 IJMOLE)
T~middot 006(1) 00640 00650 00700 00750 00800 00900 OOOO Oll 00 Oll00
00
0000 00t1 0(1)2 00(13 0004
-0rS013 -00004 -04971 -0(4931) -0~4116C
1)00000 000009 0(01)360)1)080 000143
001191 ~01200 iiOlntgt ii01270 iiOl3n
006799 006A07 1)068llt 00687lt 006934
011867 011875 011899 011939 011996
016443 01451 016474 016513 016567
0l42Al 024289 024 ]10 024346 024397
0305M 0lri591 0]06 11 03Q645 030693
035561 035567 1)35587 035619 1)35663
039377 039383 039402 039432 039474
001)6 oOos OOH 00tgt 0014
-01I467Q -0~4410 -O408C -03677 -0319r
000321 000571 000R92 001284 101747
1101)1509 ~01756 01)2074 00243 ii02921
1)07103 007330 0(764)oollon I)OR451
012158 o123A4 012675 013031 013451
016n3 016941 017220 017562 017965
024542 024744 025004 0l5322 025698
0308211 031018 03i262 03j560 031 9 12
035791 035970 031201 036482 036814
039596 039766 039984 040251 040566
0011 0018 0020 0025 0030
-0l264 -02012 -01311
l)ii0756 03(61
002280 002884 003558 005546 007962
003449 004047 004715 ii(l6684 009078
008951 00952F 0101Alt 0120411 (I1 433S
013934 014482 015094 016899 019096
018430 0111957 019545 0212Bl 023394
026130 026620 027168 028 784 030753
032318 03~778 0332(11 034808 036656
037197 037631 n]A1l5 0]9547 041293
040929 041341 041800 043160 044816
003S 0040 0045 00ltgt0 001l0
0116217 O~977 0i314f n17O~ 0gt6A8~
010797 014039 017675 Oc1688 030770
0118B7 nl)101 ~ ii2c68S ii31695
017027 O2010~ n23563 n273l1 036051
021677 024635 127960 031639 040003
025A79 (I2A728 031932 035481 04)563
033070 035729 0311723 0 42044 049628
038830 04i331 044148 047276 054434
0middot43349 045712 0411377 051339 058127
046769 049014 051547 054364 060829
0070 00110 0090 01(10 O po
O~7551
04933 0 2074 1)763Q 1-479
041129 052600 065036 078307 106Q20
041979 n53375 n65738 078938 l07418
045981 057026 069037 08194 109732
049606 060314 071995 iIA4531 111759
052864 063163 074636 0136867 113516
058390 068230 0711040 0010714 116286
062729 072077 0823A6 09)559 11A152
066015 0 74927 n84787 095508 1101208
068356 076882 086337 096647 119529
0140 0160 OlAO 0200 OSO
136077 IAA96~ 230911 28221 3gt9170
137717 17075 203926 238705 328956
138 097 170451 204107 38BOl )28878
191133 171671 0048601 23914Q 32113lt
141306 172649 205401 239279 327647
142532 173396 20717 2301206 3lt6748
144303 174256 205754 2311497 324447
1415247 174350 205072
~21 54 1
145449 1 73756 203744 235109 318094
144919 172539 201834 232559 314159
0300 43242 422460 422243 421046 419666 41A115 41 4547 4104 14 405781 400702 0350 0400 0450 0500
519350 fIii691ii 715508 11489
518125 615303 713585 812702
r17797 1S14882 713086 A12136
S16047 612673 710489 A)9206
014123 610297 707731 A06120
512038 607767 70_11124 A02888
507427 602286 698604 196030
5002118 596302 691899 7BA703
496684 1)139873 614767 780964
490659 583048 617251 772858
0550 0600 060 0700 0750
0Il4891 10i538f 11627 12i747A 13A951lt1
912468 1012750 1113450 1214494 1315A26
911844 1~12074 1i12728 1213731 131502
908624 1008599 1109027 1209821 110937
905251 1004974 1105177 1205775 106704
901736 100110 1101191 1201590 1300340
1194323 993305
1092849 1192857 1293251
886452 984954
1084070 1183692 1283739
R71n80 h76211
1074907 1174152 1273857
16955] 967U3
10615406 1164280 1263649
OIlOO 14gt0667 1417399 1416566 1412310 1407913 1403384 1393974 1384145 1373952 1363438 0850 Ogeo 0900 1000
)5gt2571 1624645 176864 18gt9212
1519181 1621140 1723gt55 1825506
1518317 1620248 1722337 1824564
15139)A 1~15700 1711660 11119767
1509360 1611013 1712845 1814834
1504682 1606198 1707903 lA09774
1494976 1596221 1697616 1799316
1484858 158r836 1687045 I18A457
1474]80 1575096 1676063 1777250
1463586 1564044 1664173 1765739
1100 1200 13eo 1400 1500
2034233 223911 lt445B 2C1l8A 1lr729lt
2030)54 2235582 ~441117 2646903 2852R98
21)29368 2234559 2440060 2645816 2A517e4
2024357 22293501 2434693 2 40301 2A46136
2019210 2224026 2429196 2634656 21140358
2013940 221111570 2423577 26211~91 2B34462
2003064 2201330 2412013 261 7039 21322350
199195 2195702 2400061 26048014 28Oq863
lQe0185 2183737 2187789 292250 21Cl7052
1968276 2171479 2375222 2579406 2783959
Page 103
TA~LF 9 (CONTINUED)
H3 (JMOLEI
TI 01301) 01400 01500 01600 01800 02000 02250 02500 02750 OlOOO
(KI
0000 042167 044040 045089 045391 044012 0 4 (1334 033005 023100 011009 -002960 Ooni 000 0on3 0004
042173 04219 042219 042259
0441)46 0441162 0441190 044129
1)45094 n45110 1)45137 n4S174
1)453911 n45411 045417 1)454n
044016 044031 044054 0440R8
04n]38 040352 040374 040405
0l3009 033021 033042 033071
02104 024116 024136 0211(3
1111013 (loll 024 011043 011 069
-n029i6 -00gt945 -00292A -002903
0006 0008 0010 0012 0014
042370 042537 042745 04gt999 043299
044gt39 044394 044093 044836 045123
n4)2Ao n45428 045619 0451152 046128
045575 04lt77 0459n (104(1204(391)
044183 044316 044487 044696 044943
040495 040620 ()40781 040977 04)gt09
03355 n3372 n33422 033605 0331122
02242 023351 021493 02)665 02869
1)11143 011247 01138 1 011544 011737
-nOtl32 -00gt7]3 -00~606 -002451 -00gt267
0016 043645 045454 046446 046696 045228 041477 03+072 024104 011960 -002055 0018 0440311 045829 046805 047042 045SH n41781 034355 024370 012212 -0018tl 0020 0444710 046248 n47208 n47429 045912 042120 0341011 0246611 012494 -001547 0025 0030
1)45771 n4735)
047487 048999
1148397 1)491147
0411573 1)49970
046979 048281
041122 044347
035607 036750
025549 026624
(I 13327 014346
-000753 000216
0035 049212 050780 )51558 1)51616 049A18 045791 038099 027894 015548 00360 0040 0045Ooso (IOM
051354 00371 1 00(461 010264
0521130 05gt145 057723 n63(48
0S3S26 0)5750 058226 063923
1153511 055653 0511039 063530
051586 0middot53586 055815 060950
047454 049336 0H433 056269
03653 041411 043371 047A94
029356 031011 03857 037119
016933 0111501 1120251 024290
002679 004172 005839 009687
0070 069F47 070168 1170585 069957 066968 061943 053207 04212F1 029041 0014216 0010 078026 078434 0711168 077283 073842 06A433 059291 047871 034493 019415 0090 0100
0~710(171)5gt
087192 096785
1186625 095902
0A5464 094451
081536 090009
070710 0113741
1)66125 073681
054330 06l4
040629 n47433
025272 031772
0120 11QI8) 118gt19 116693 114644 109124 101915 090838 077764 062954 046625
0140 143894 14247 140080 13743 130821 1226415 1111501 096493 oFlOMl 063805 0160 0180 0200
170754 199)Q 2-9lt011
168447 196463 225998
165659 193085 22066
16t420 189290 211741
)04740 1 11 0565 208026
145599 170482 1 Q7035
132381 156204 1081727
117422 1402H 164890
100942 122966 146715
083126 104379 127362
0250 3977Q 304994 099835 [194331 [182385 26Ql22 251626 232602 212419 191220
0300 395219 389369 383182 376684 62R43 347998 3211217 307253 285263 262316 0350 4114255 477507 470447 463100 447635 431255 409667 387007 63422 339032 0400 5751167 56F1365 060567 552497 535630 517914 494745 470595 445603 4198AO 0450 0500
6Q401 74420
661247 7551191
152RI0 746701
4411A 13746gt
6260S0 718332
61)774 911444
582615 72671
557146 646035
030901 618674
50991 590697
0550 IIl060Fl 851379 A41892 FI3171 812103 791309 764454 736789 708436 679504 0600 957726 948052 938128 9279711 907074 885473 857645 829047 799809 770025 0650 0700
1055604 1154114
1045533 1143684
1035218 1133011
10246A4 1122136
1003030 1099805
980703 107821
Q52001 1047326
92562 1017123
1192511 986337 ~ 955068
07S0 1253153 1242398 1231411 1gt20214 11Q7268 1173687 1143470 111gt571 1081113 1049194
0800 1302640 1341589 1330310 1318826 195318 1271191 1240312 12011175 1176700 1144186 0850 1402512 1441189 1429643 1417895 13Q3R71 n69242 1331755 1305630 1272987 1239923 0900 1502717 1541144 1529351 1517360 149859 1467767 1435719 1403051 13M88 1336310 0950 1000
1603211 173959
1641406 1741940
1629385 1129701
11717 17172A3
59229 1691932
1561708 1666012
153439 1632960
1500967 159939
1467310 1565207
1433265 1531)7lt2
1100 1906103 1943697 1931083 19182R lR92193 lf16i554 1831627 1197138 P62204 1726921 1200 13GO
215896 gt3 24011
2146211 2349353
2133268 2336107
2120136 2226A2
2093398 2295368
2066126 2267533
2031428 2232151
1996192 219250
1960534 2159946
1924547 2123331
1400 1500
25 6312 2770619
2552996 2157061
2539484 2143309
2525796 2729384
2497966 2701088
4(9627 2672295
2433632 2(35746
2397135 259R711
gth60251 2061303
2323074 2523616
Page 104
TABLE 10
THE OSMOTIC PRESSURE OF HE3 IN HE AND THE EXPRESSION -[ ~4(X T) -~4 (TwO)]
OSMOTIC PRESSURE bull P OSM -[ ~4(X T) -~4O(T=O)] bull U
)( 00001 X bull 00002 X bull OOOO X bull 00010 X bull 00020
P OS U P 0514 U P OS U P OSM U P OSM U (Kl TORR) IJMOLEI CTORRI CJMOLEI (TORRI CJMOLEI nORRI CJMOLEI CTORRI IJMOL[I
0000 bullbull 810middot00 1783-006 15lmiddotmiddot00l 56middot2middot006 6978-003 2566-00 2181-002 8020-005 6769-002 2bullbullbull9-00 0001 0002
5509-00 7002-00
2026006 2575-006
1620-003 18l-00l
5956-006 6778-006
709l-00l 7 bullbull26-00l
2608-005 2731-00
2196_002 2238002
8073-00 82l1-005
6787-002 681-002
2 bullbull96-00 2516-00
0003 000
880-00 1OA3-003
3250-006 398Z-006
21511-003 2506-003
791l-006 9216-006
79-003 8612-003
2923-005 3167-005
2308_002 2 bullbull0l-002
8bullbull88-005 8836005
6931-002 7056-002
2Imiddot9-00 2 595-00
0006 151)2-003 5SiH-006 3281-003 1208-005 1021-002 l756-005 2650-002 975-005 7bullbull01-002 221-00 0008 0middot0100012
1 93l-003 2371-00l 28lmiddot003
7108-006 8719-006 103-005
middot1l0-003 4959-003 5822-003
1511-005 1823-005 21middot1-005
120l-002 1397-002 1599-002
bullbullbull25-005 5138-005 5879-005
295l-00Z 3292-002 365middot-002
1086-00 10210-004 1middotmiddot00middot
7855-002 8393-002 8996 002
2 888-004 3 086004 3 308-004
001middot 3257middot00l 11 98-00ll 6693-00l 2bullbull61-005 1806-002 6639-005 4034-002 1483-00 9648-002 3548-004
0016 37112-003 1361-005 7571-00l 2784-005 201 6-002 7bullbull12-00 4426_002 1628-00 103-001 3801-004 0018 0020
bullbull 149_00l bullbull596-003
1526_005 1690-005
8 bullbull54_003 9339-00l
3109-005 3434-005
2228-002 2443-002
819-005 8983-005
4828_002 5236_002
1775-00 1925-004
1106-001 1180-001
4066-00 bullbull 3l9-004
0075 0030
5 718_003 681-003
2103_005 2516-005
1156-00Z 1380-002
4252-005 507-005
2986_00Z l534-002 1~g8 6279002
7344_002 2l09-004 2701-004
137-001 1575-001
s051-004 5 191-00
0035 7966-003 2930-005 160-002 5898-005 bullbull 086-002 1503-00 8 bullbull23-002 3097-00 1781-001 65bull 9- 004 000 9093-003 3345-00 1828-002 672-005 bullbull641-002 170700 9511-002 3bullbull97-00 1991-001 320-00 0045 0050
1022-002 1135-00Z
3761-00i 4177-00r
2053-00Z 2278-002
7551-005 8379-005
5197-00Z 575-002
1911-00 2116-00
1061-001 1171-001
3900-00 bullbull305-004
2203-001 2 bullbull17-001
8101-004 8 889-004
0060 13M-002 5011-00- 2728-002 100middot-00middot 6872-002 2528-00 139pound-001 5middot118-00 2850-001 1 048-003
0070 OORO 0090
1586-002 1h2-002 20l8-002
5848-005 6690-005 7537-005
3178-002 3629-002 bullbull 080-002
11 70-004 1l37-00middot 1505-004
799l-002 9116-002 10Z-001
2941-00 3l55-00 3770-00
161 4-001 1837-001 2060-001
59l6-00 657-004 7580-00bull
3287-001 3727-001 168-001
1209-00] 1037 1-003 1533-003
0100 0120
224_fl022715-002
8391-005 1013-00
bullbull5n-002 5435-002
1673-00 2012-00middot
1136-001 1362-001
bullbull 185-004 5021-00
2284_001 2732-001
840500bull 1006-003
4611-001 5500-001
1 696-003 2 02-003
0140 l17-002 119 1-004 6338-002 2357-004 1587-001 5861-004 l18Z-001 10172003 6393-001 2 353- 003 011i1) OlFJO o 00
l619-002
g~~gg~ 1l75-004 1568-004 1712-00
7241-002 815-00~9048-00
2707-004
~2~~8g 1812-001
~~~2ggl 6709-004 756-Og48432-0 4
36l1-001 4g81-oo 1bullbull 1 -001
103middot0-003 lII98-g03 16 7- Ol
7287-001 R18~-gol907 - 0
2 684-003
Ju~gn 0250 5603-002 2345-00 11l1-001 bull bullbullcmiddot-OOmiddot 2 828-001 1066-00l 5658-001 2107-003 1132middot000 41 91-003
Oloo 67~002 3046-00 1357-001 5540-on4 3392-001 1302-003 6785-001 250-003 1357middot000 506-003 0350 0middot00
7914_002 904_002
3932_004 5068_004
1583-001 1809-001
6842-004 8394-004
3957_001 bullbull 521-001
1557_00 1837-003
7913_001 901-001
3012-003 3bullbull99-003
1582000 1807middot000
5 920-003 6820-003
0450 0501)
1017-001 1110-001
653l_004 8412-00
20l5-001 2Z61-001
1027-003 12gt7-003
5g86-001 5 51-001
219-003 2503-00l
10P00O 1130000
4018-003 middot580003
2033000 Z258middot000
7 753-003 828-003
0550 1244-001 101f 0-003 2487-001 1537-003 6Z16-00l 2908-003 1243middot000 5192-003 2bullbull83middot000 9 15-003 0600 0650 0700
13r7-001 1bullbull70-001 15I1l-001
131S1-003 1757-003 2227-003
2713-001 2939-001 3165-001
1880-003 2Z97-003 2809-003
6780-001 7345-001 7910-001
3l76-00l l917-00l bullbull 554-00l
1356middot000 1bullbull68middot000 1581middot0011
5(167-003 66~60037bullbull 9-003
2709middot000 293bullbull000 3160-000
1middot08-002 1middot20n-002 l l 26-002
075n 1696-001 28e7-003 3391-001 3bullbull50-003 e475-001 5320-003 1694+000 8bullbull33-00l 3385middot000 1 465-002
0800 0850 0900
181)9-001 1922-001 2035-001
361Z-003 bullbull 669-00l 6122-003
3617-001 3843-001 4069-001
bullbull 217-003 5375-003 6870-003
900-001 9605-001 1017+000
6271-003 7bullbull94-003 9113-003
1807000 19200011 2033 +000
9r91-003 10102-002 1785002
3611middot000 3836+000 4062000
1622-002 1807-002 2 031-002
0950 1000
2148-001 2261-001
81 4O-OOl 1094-002
4295-001 4521-001
8929-003 11 77-002
1073000 1130000
1130-002 1426-00Z
2160011 225900011
152middot-002 1R41-002
4287+000 bullbull5130000
2 311-002 2 67 0-002
1100 74117-001 2002-002 4973-001 209-002 1243+000 2l68-002 248000 224-002 4964+000 3 136-002 1200 1300 14110
27)3-001 29~9_00l 315-001
l618-002 6319-002 1061-001
5 bullbull25-001 5878_001 6l311-001
3717-002 64i7-002 1072-001
1 356000 1469+000 1582+000
bullbull 017-000 6751-002 1107-001
Z710000 2936+000 316Z+000
bullbull 515-002 7290-002 1165-001
5415000 5866+000 6317+000
5509-002 e l68-OO2 1 281-001
1500 ll91-001 1713-001 6782-001 17C6-001 1 695+000 1763-001 3388+00U 1825-001 6768+000 i950-00l
Page 105
TABLE 10 ICO~TINUEO)
X 00030 X 0000 X 00050 )( 00060 )( bull 0middot0080 T P OSM u P OS U4 P OS U P OSM U P OSM u
11lt1 (TORR) (JOLE) (TORR) (JMOLEI (TORR) (JMOLE) ITORR) (JMOLEI (TORR) tJMOLE)
0000 t3116-001 803-00 2076-001 763middot-004 2967-001 1091-003 3966-001 1bullbull58-003 62bullbull-001 2 296-003 0001 0002 0003 000
1308-001 1315-001 1325-001 1339_001
bullbull811-00 bullbull83_00 bullbull872-004 bullbull925-00
2079-001 2085-001 2097-001 2113-001
76middot3-00middot 7668-00middot 7710-00middot 7769-00 4
2970-001 2 977-001 2990-001 3007-001
1092-003 109S-003 1099-003 1106-003
3969_001 3977_001 3990_001 bullbull 008_001
1bullbull59-003 1462-003 1bullbull67-003 1474-003
6247-001 6256-001 6270-001 6291-001
2 297-003 2 30 0-003 2 306-003 2 313-003
0006 1380-001 5074-00 2158-001 7935-1)0 4 3056-001 112-003 4060-001 1493-003 6348-001 20 33-003 0008 0middot010 0012 001middot
1middot5-00115112-001 1579_001 1665-001
5276-00 5523-004 5807-004 6122-00
222rOOl 229 -001 2387-001 2488-001
81 62-004 8445-004 8776-004 91 49-00
3123-001 3208-001 3308-001 3423-001
11middot8-003 11 80-003 121fo-003 12511-003
middot132-001 4223-001 middot332-001 bullbull 457_001
1519-003 1553-003 1593-003 1639-003
6 428-001 6 530-001 6652-001 fo795-001
2 36-003 2 401-003 2 4bull 6-003 2 498-003
0016 0018 0020 0025 0030
1707-001 1855-001 1957-001 2228-001 2513-001
6461-004 6821-004 71 96-00 8191-00 92middot1-00
2599-001 2718-001 28bullbull-001 3181-001 353-001
9557-004 99115-004 1046-003 1170-003 1303-003
3549-001 3686-001 3832-001 bullbull 228-001 658-001
1305-003 1355-003 1middot09-003 1555-003 1713-003
bullbull 597_001 bullbull 749_001 bullbull912-001 5360-001 5852_001
1690-003 176-003 1806-003 1971-003 21 52-003
6955-001 7132-001 732-001 78amp0-001 860-001
2551-003 2 623-003 2 693-003 2 890-003 3111-003
0035 000 005 0050 0060
2809-001 311 3-001 3middot22-001 3735-001 bullbull 371-001
1033-003 11 45-003 1258-003 1373-003 1607-003
3921-001 bullbull 3U-001 bullbull 712-001 5119-001 599-001
1bullbullmiddot2-003 1586-003 1733-003 1882-003 21 88-003
5112-001 558-001 6070-001 6567-001 758-001
1880-003 2053-003 2232-003 2415-003 2789-003
6376-001 6925_001 7bullbull92-001 8074-00l 9270-001
2345-003 2546-003 2755-003 2969-003 3bullbull 09-003
9110-001 9797-001 1051middot000 1125middot000 1279middot000
3350-003 3 602-003 3866-003 4138-003 bullbull r02-003
0070 0080 0090 0100 0120
50t5-001 565-001 6320-001 6 978-001 8301 001
18middot-003 2083-003 232-003 2567-003 305-003
6795-001 7650-001 8513-001 938ii-001 1113-000
2bullbull99-003 2813-003 31 31-003 3bullbullSo-n03 bullbull 095-003
8623 001 9678-001 107middotmiddot000 1182000 1399000
3171-003 3559_003 3951-003 437-003 5146-003
1050000 1175000 1301+000 14ii9000 1688000
3860-003 middot320-003 bullbull 785-003 5256-003 ~206-003
1 437000 1600middot000 1765000 1932+000 2272000
5286-003 SA83-003 6 49 1-003 7106-003 8 35-003
0140 9631-001 35bullbull-003 1289middot000 bullbull 73-003 1618000 5951-003 l9middot1J+000 71 67-003 2615middot000 9middotamp18-003 OlfoO 0180 0200 0250
IOCJ6middot000 1230middot000 136-000 1700middot000
bullbull 036-003 4531-003 5027-003 6277-003
1bullbull6~middot000 16bullbullmiddot000 1822+000 2268middot000
5396-003 6051-003 6709-003 8365-0(13
1838middot000 2059+000 2280middot000 2836middot000
6762-003 7577-003 8395-003 1045-002
2211middot000 2 bullbull75-000 274110011 3 bullbull0middot-000
81 34-003 9107-003 1middot008-002 125middot-002
2962middot000 3310middot000 3661middot000 452+000
)089-0021218-002 347-002 1673-002
0300 0350 0400 0bullbull50 0500
2036000 2373000 270000 3047000 33e-000
7542-003 8827-003 1014-002 1148-002 1287-002
2715+000 3163000 3611middot000 bullbull 060000 bullbull509000
100-002 1113-002 1345-002 1521-002 1701-002
3393000 3952000 bullbull512000 5072000 5632000
1253-002 1bullbull63-002 1676-002 1893-002 2114-002
middot072000 bullbull7410011 5411+000 608ii+000 6754000
1503-002 1753-002 2007-002 2264-002 2526-002
5421middot000 6315+000 7206middot000 8098000 8991middot000
2001-002 2 332-002 2667-002 3005-002 3 348-002
0550 3722middot000 1431-002 959-000 18116-002 6193000 2340-002 7426000 ~793-002 988000 3697-002 0600 0650 0700 0750
bullbull 060-000 4397middot000 4735-000 0073middot000
151lt002 1738-002 1906-002 20116-002
5bullbull08+000 5858middot000 6307middot000 6757middot000
2077-002 2275-002 2bullbull84-002 2705-002
675middot000 7315middot000 7877000 8bullbull39middot000
2512-002 2812-002 3061-002 3323-002
809111000 8771+000 9bullbull4middot000 1012middot001
3066-002 33middot7002 3637002 3940-002
1078-001 1167middot001 1257middot001 136middot001
bullbull 052-002 414-002 bullbull 186-002 IIln-002
0800 0850
5bullbull0000 5748000
2284-002 2510-002
7207middot000 7657000
295-(102 3212-002
9000+000 9562000
360-002 3912-002
1079001 11middot6001
4262002 4611-002
1middot36middot001 1526001
5575 002 6006-002
0900 0900 1000
6086middot000 6424+000 6762000
2775-002 3097_002 3bullbull97-002
8107000 8557000 9007000
3518-002 3881-002 323-002
1012001 1069+001 1125001
4260-002 466-002 517-002
1214001 1281001 138+001
5000-002 546002 5969-002
1615middot001 1705-001 1795+001
6middot77-002 7004-0027 610-002
1100 7bullbull38middot000 66-002 9907000 5554-002 1237001 6460-002 1bullbull83001 7365-002 197-001 9169-002 1200 1300
811middotmiddot0008790000
6501-002 9 bullbull3-002
1081001 117hOOI
7bullbull92-002 1052-001
1350001 1 462001
881-002 1159 001
1618001 1753001
9468-002 1266-001
2153+001 2333001
1144-001 1479-001
1middot00 1500
9466middot000 101middot001
1397-001 207-001
126hOOl 1351+001
1513-001 21 97-001
1575001 1687001
1628-001 2321-001
18811001 2023001
113-001 2bullbullmiddotmiddot-00
2512middot001 2692+001
1 973- 00 2 691-001
Page 106
TABLE 10 (CONTINUED)
It bull 00100 X bull 00150 X bull 00200 X bull O O4ljO X bull Ch0300
p 0514 U4 P OSM U4 POSH U4 POSH U4 P OSM U4 (I() ITORR) IJMOLE) (TORR) (JMOLEI nORR) IJMOLEI (TORR) (JMOLEI (TORR) IJMOLpound)
0000 8845-001 3252-003 1647+000 6056-003 2532+000 Q310-00J 3506+000 1289-002 4545+000 1671-002 0001 8848_001 3254-003 1647+000 1gt057-003 2532+000 9312 003 35060000 189-002 4546 0000 1 67 1-0020002 8811i8-001 3257-003 16480000 1gt061-003 2534+000 9316-003 35080000 1 bull 90-002 4547+000 1672-002 0003 8873-001 3263-003 1650+000 1gt068-003 2535+000 93gt3-003 3510+000 129 1-002 4549000 1 6n-002 00114 A8Q5-001 3271-003 165J+000 6077-003 2531hOOO 9333-003 3513+00u 1292-002 4552000 1674-002
0006 8957-001 3294-003 166U-000 6103-003 2546+000 9362-003 3521-000 1295-002 4561+000 1677-002 0008 q044-001 3325-003 1670+000 61 40-003 2557+000 Q403-003 3533-00U 1 bull 99-002 4574-000 1 682-002 0010 9154-001 3366-003 1683+000 61 87-003 2571-000 9454-003 35480 0011 1305-002 4590-000 1688-002 0012 92A8-001 3lt15-003 1698_000 6244-003 2588+000 9518-003 3567+000 1312-002 4610-000 1 695-002 001 4 Q1I44-001 31172-003 1716+000 6311-003 2 609-000 9592-003 3589_000 l3l0-002 4633+000 1104-002
0016 9621-001 3538-003 1737+000 6387-003 2632-000 9677-003 361 4-000 1329-002 4660-000 1 714-002 00)8 98]8-001 3610-003 1761000 6473-003 2658000 9774-003 364 ii000 1339-002 4691000 1 725-002 0010 1003-000 3689_003 1786+000 6568-003 2687+000 9880-003 3674000 1351-002 4725000 1 737-002 0025 104_000 3913_003 1861+000 6842-003 2772000 1019-002 3767000 1385-002 4824+000 1 77002 0030 11]3000 It167_003 1948+000 71 62-003 2872000 1056-002 3977000 1426-002 4943+000 19 19-002
0035 1209-000 11445-003 204imiddot000 7520-003 2 986+000 1098-001 4005+000 1473-002 508+000 1 869-002 0040 1iiQO+000 4743-003 2151-000 7911-003 3112000 1144-00 4147middot00U 1525-002 5238+000 1926 -0020045 1375000 5056-003 226i+000 8329-003 3248-000 1194-002 4302+000 1582-002 5409-000 1 989-002 0050 1464000 5382-003 238HOOO 8769-003 33911-000 12118-002 4469+000 1643-002 5594-000 2057-0020060 1648+000 6061-003 2639000 9703-003 3706+000 1363-002 483ii+000 1777-002 6001+000 2 207-002
0070 1841+000 6769-003 2908+000 10laquogt9-002 4042+000 1486-002 5227000 1922-002 6 448-000 2 37 1-002 OOM 2039000 7497-003 3187-000 1172-002 4395+000 1616-002 5645000 2076-002 6 927+000 2 547-002 0090 2241+000 8241-003 3476-000 1278-002 4761+000 1751-002 6083000 2237-002 7430-000 2732-002 0100 2446+000 8996-003 3771000 1387-002 5139+000 1890-002 653700U 2404-002 7954+000 2 925-002 0120 2864000 1053-002 4 37i+000 1609-002 5917000 2176-002 7479+000 2750-002 9050+000 3 328-002
0140 32A8~000 ]209-002 4993-000 1836-002 6719+000 2471-002 8455-000 3109-002 10 0 19+00 1 3 148-002 0160 371 7000 1367-002 5621-000 2067-002 7538-000 2772-002 945700U 3478-002 1152+001 4 235-002 Oleo 4149+000 1526_002 6257000 2301-002 8 4 011 +000 3091-002 1050001 3963-002 1260001 4634-002 0200 4584 000 1687-002 6897000 2537-002 9208+000 3387-002 1151001 4233-002 1379+001 5072-002 0250 5679000 2091-002 8516000 31 34-n02 1134_001 4172-002 1414 +001 5 bull 01-002 1amp91001 6219-002
0300 6780000 2499-002 1015001 3737-002 1349-001 4967-002 1680+001 1gt184-002 2008middot001 7 388-002 0350 7886000 2910-002 1179+001 4347-002 1567+001 5770-002 19iO-001 7]80-002 2329001 8 573-002 0 400 8995+000 33l5-002 134-001 496 1-002 1785+001 6581-002 2221-001 81 84-002 2652-001 9 769-0020 450 1011-001 374-002 1510-001 558 0-002 200lt-001 7398-00lt 249+001 91 97-002 2977001 1)98-001 0 500 1122001 41 68-002 1676-001 6205-002 2224+001 8222-002 2767001 1022-001 330001 1 219-001
0550 1233-001 4598-002 1842-001 6836-002 2 445-001 9052-002 304Z+001 1125-001 3632001 1 342-001 0600 1345001 5034_00i 2008 001 7473-002 2 666+001 9 890_002 331 7+001 1228_001 3961_001 1465-0010600 147001 5478-002 2175+001 81 19-002 2887001 1074-001 359Z_001 1333-001 4290-001 1590-001 0700 1568_001 5931-002 2342+001 8775-002 3108001 1159-001 3868_001 1439-001 4620+001 1r15-0010750 1 680+001 6398002 2509 +001 94middot5-002 3330001 1246_001 4144+001 15116-001 4951+001 1 1142-001 0800 1792001 6883-002 267amp-001 1013-001 3552-001 1335-001 4420+001 1(55-001 52111 +001 1 971 -001 0850 1914+001 7396-002 2843001 1085-001 3774+001 14n-001 4697+001 1767middot001 5613+001 2middot103-0010900 2015+001 7948-002 3010+001 1160-001 3996+001 1523-001 4974-001 1883-001 5944+001 ZZ39-001 0950 2127001 8557-002 3177+001 12112-001 4218001 1625-00] 5251+001 Cl004-001 6276-001 2 38 1-001 1000 2239 -001 92115-002 3344-001 1331-001 41141001 1734-001 5528-001 21 34-001 6608+001 2 531-001
1100 2463+001 1097-001 3679+001 1511 11-1101 4885+001 1987-001 6083001 2428-001 7272001 2 865-001 1200 26A7+001 1340001 401 4 001 1828-001 5331+001 2312-001 6638_001 2793-001 7937-001 3 27 0-001 1300 2911_001 1692_001 4349+001 2220-001 5776+001 2745-001 7194+001 3266-001 8603001 3 r84-0011400 3135001 2202-001 4684+001 2771-001 6222001 3337-001 7750+001 3899-001 9269001 4 1157-001 1500 339+001 2936001 501 9 001 3546-001 6667_001 4152-001 8306+001 11755-001 9935-001 5 354-001
Page 107
TABLf 10 (CONTINUED)
)I bull 00350 X bull 00400 X bull 00450 ~ bull 00500 X 0O5gt0
T P OM U4 POSH U4 P OSM U4 P OS U4 P OSM U4 (K) (TORRI CJMOLE) CTORRl IJMOLE) nOAA) (JMOLE) (TOAA) (JMOLEI (TORA) IJMOLEI
0000 0001
1]631+000 5631+000
2070 002 2071-002
6748+000 6749+000
2481-002 2482-002
7885+000 78116+000
2899-002 2900-002
9031+000 9034000
3321-002 3321-002
101 1hOOl 101A001
3 742- OO 3 73-002
0002 0On3 0004
5633000 563150000 5 618000
2071-002 2072_002 2073-002
6750000 6753+000 6756000
2482-002 2483-002 2484-002
7887000 7890+000 7894000
2900-002 2901-002 2902-002
90340011 90360011 9040+000
3322-002 3323002 3324-002
101Smiddot001 1018+001 1019001
3 743-002 3744- 002 3146-002
0006 5648000 2077-002 6766+000 2488-002 7904+000 2906-002 9051000 3328-002 1020+001 3 750-002 0008 0middot010 0012
56amp1+000 678+000 5699+000
2082-002 2088-002 2096-002
6780+000 6798+000 6820+000
2493-002 2500-002 2508-002
7918000 7937+000 7960+000
2912-002 2 9111-002 2927-002
9066 +000 9085 +000 9109+000
3333-002 3341-002 3349-002
1021+001 1middot023001 1026+001
3155-002 3763-002 3 772- 002
0014 7 4+000 2105-002 6846+000 2517-002 7987+000 2937-002 9137+000 3360-002 10029+001 3 782-002
0016 Oots 0020 0025 0030
5752000 5784+000 5 820+000 5 926000 6003+000
2115-002 2127-002 2140-002 2179-002 2226-002
6876+000 6909+000 6947+000 7058+000 7192+000
252R-002 2541-002 c554-002 2595-002 264-002
8018+000 8053000 8092+000 8Z08+000 8348000
29411-002 291-002 2976-002 30111-002 3070-002
9169000 9206000 924600U 9366000 951200U
3HI-002 3385-002 3400-002 3444-002 3498-002
1032+001 1036001 1040001 1052middot001 1068+001
3795-002 3809-002 10 11 24-002 3870-00~ 31i25-002
0035 6201000 2280-002 7348000 2702-002 8512+000 3130-002 9684+000 3061-002 1085001 399 1-002 0040 0045 0050
6368000 504+000 6755+000
2342-002 2410-002 2484-002
7526+000 772000 7940000
2767-002 2840-002 2919-002
8699+000 8908000 9137000
3199-002 327S-002 3360-002
98711+0011 1010001 1034+001
3633-002 3713-002 31101-002
1106001 11211+001 1154+001
4066-002 4149-002 4442-002
0060 7201+000 2648-002 8420000 3096-002 9649+000 354111-002 1088+001 4000-002 1210001 4450-002
0070 0090 0090 0100 0120
7695+000 9227+000 A792middot000 93R2+000 1062+001
2829-002 3025_002 3233-002 3450-002 3906-002
8956+000 9539000 1016+001 1081+001 121 9+001
3293-002 3507-002 3736-002 3975-002 4482-002
1022+001 1085001 1152001 1223001 1374001
3759-002 3990-002 4~3~-002 4498-002 5053-002
1149+001 1216+01)1 1288001 1365001 152t1+001
4225-002 4411-002 4731-002 5017-002 5~17-002
1275001 1346001 122middot001 1504001 1679+001
4 687-002 4 948-002 5 230-002 5530-002 6174-002
0140 11112+001 4385-002 1365001 5018-002 1534+001 5642-002 1702001 6257-002 1866001 61162-002 0160 0180
1339+001 1468 +001
4923-002 5397-002
1527001 1673+001
5615-002 6151-002
1112001 1875+001
6297-002 6894-002
1895001 2073001
61168-002 7625-002
2074001 2268+001
7626-002 amp341-002
0200 1605+001 5903-002 1828001 6723-002 2048+001 7530-002 2263+001 8322-002 2474001 9099-002 0250 1964001 7225-002 2234+001 8216-002 2499+001 9191-00lt 2759001 1015-001 3015001 1109-001
0300 0350
2331+001 2702001
8576-002 9947-002
2649001 3071+001
9746-002 11 30-001
2962001 3 434+001
1090-001 1264-001
3270001 3791+001
1203-001 1395-001
3573001 4142001
1 314-001 1l24-001
0400 0450
3078+001 3455001
133-0011273-001
3498+001 3927+001
1289-001 1447-001
3911+001 4393001
1441)-0011618-001
4319+001 4851+001
1590-001 1787-001
4720001 5303+001
1131-001 1 953-001
0500 3835001 1414-001 4359001 1607-001 4877+001 1797-001 53870001 1985-001 5891001 2 17 0-001
0550 4216+001 1556-001 4793+001 1769-001 5363+001 1979-001 5926001 2185-001 6482+001 2390-001 0600 4598+001 1700-001 5229+001 1931-001 5852+001 2161-001 64611+001 2387-001 7076+001 2 611-001 0650 0700
4991+001 5365001
1844-001 1989-001
5665001 6103+001
2095-001 2260-001
6342+001 6833+001
2344-001 2529-001
7011+001 7556001
2590-001 2795-001
7672001 A270middot001
2 833-001 3 057- 001
0750 5750001 2136-001 6541+001 2427-001 7325+001 2716-001 8102001 3001-001 9870001 hil93-001
0800 6135001 2285-001 6980+001 2596-001 7818+001 2904-001 8649001 3210-001 9471001 3512-001 0850 6520+001 2437-001 7420+001 2768-001 8312+001 3096-001 9196+001 3421-001 1007+002 343-001 0900 0950
6906+001 7292001
2593-001 2755_001
7860+001 8301+001
2944-001 31 26-001
8807+001 9302+001
3292-001 3494-001
9745+001 1029+002
337-001 3859-001
1068+002 1128002
3 979-001 4 22 1-001
1000 7679001 2925-001 8742+001 3316-001 9797+001 3704-001 1084002 4089-001 119900C 4471-001
1100 8453+001 3299-001 9625001 3730-001 1079+002 4158-001 1195002 4584-001 1309+002 5 006-00 1200 92t7+OOl 3745-001 1051+002 4216-001 1178+002 4685-001 1305002 5150001 1431002 5612-001 1300 1000+002 4299-001 1139+002 4811-001 1278+002 5320 001 1415002 5A25-001 1552002 63211-001 1400 1500
1078+002 1155002
5012-001 5949-001
1228+002 1317002
5564-001 6542-001
1377+002 1477+002
6114-001 732-001
1526+002 1637+002
6660-00 7718-001
1674+002 1795002
7 Z03-00 8 302-001
Page 108
TlBLE 10 (CONTINUED)
)( 00600 )( 00640 )( 00650 X bull 00700 X bull 00750
P OSM U4 P OSM U4 P OSM U4 P OSM U4 P 05104 U4 IK) tTOqR) (JMOLE) (TORR) (JMOLE) ClORR) (JMnLE) (TORR) (JMOLE) (TORR) tJMnL[)
0000 1132001 4161-002 1222001 4492-002 1244001 4574-00i 1354 001 4980-002 1462001 5 376- 002 0001 1132001 4161-002 1222001 4492-012 1244001 4575-00i 1354001 4980-002 1462001 5 376-002 0002 1132001 4162-002 1220001 4493-002 1244001 457S_002 1355001 4981-002 1 462001 5377-002 0003 1132001 4163-002 1222001 4494-002 1245001 4576-002 135S001 4982-002 1463middot001 5378-002 0004 1133001 4164-002 1223001 4496-002 1245001 4578-002 135S001 4q84-002 1463middot001 5380-002
0006 1134001 4169-002 1224001 4500-002 1246001 4582-002 1357001 4Q88-002 1 464001 5384-002 0008 1135001 41 75-002 1225001 4506-002 1248001 4088-002 1358001 4994-002 1466001 5 391-002 0010 1137 001 41 82-002 1228001 4514-002 1250001 4591gt-002 1360001 Sn02-002 1468001 5 399-002 001 2 1middot140001 41 9 1-002 1230001 4023-002 1253001 4606-002 1363001 5012-002 1471001 5+09-002 001 4 1143001 4202-002 1233001 4534-002 1256001 4617-002 1366001 S1)24-002 1 474001 5+21-002
0016 1146001 4215-002 1237001 4547-002 1259001 41gt30-002 1370001 5037-002 1478001 5434-002 001 8 1100001 4229-002 124hOOI 4562-002 1263001 4645-002 1374001 50S2-002 1 482001 5 450-002 0020 11S5001 4245-002 1245001 4578-002 1268001 4661-002 1379001 5069-002 1487001 5 467-002 0025 1167001 4293-002 1258001 4627-01)2 1281001 4710-002 1392001 5119-002 1501001 5 518-002 0030 111l13001 4350-002 1274001 4686-002 1297001 4769-002 1 409001 5180-002 151$001 558-002
0035 1201001 4418-002 1293001 4755-002 1316001 4839-002 1428001 S252-002 10538001 5 b55-002 0040 10222001 4495-002 1315001 4834-002 1338+001 4919-002 1451+001 5334-002 1561001 5 139-00shy0045 1246001 4582-002 1339001 4924-002 1362001 5008-002 1476001 5427-002 1587001 5middot M34-OO2 0050 1272001 4678-002 1366001 5023-002 1389001 5lOR-002 1504001 5529-002 1616001 5 94 0-002 0060 131001 4895-002 1427001 5247-002 1 451001 5334-002 1567001 5763-002 1681001 6 181-002
0070 1399001 5144-002 1497+001 5503-002 1S21001 5592-002 1640001 6031-002 1757001 6 459- 002 OOlllO 1474001 5418-002 1574001 5788-002 1599001 S880-002 1722001 6331-002 1841+001 6 770-002 0090 15155001 5716-002 1658+001 6098-002 1684+001 6192-002 1811001 o~58-g02 1934001 7110002 0100 1641+001 6033-002 1748001 6429-002 1175001 6527-00~ 1906+001 1008-002 2033middot001 7476-002 0120 18gt7+001 6720-002 1944001 71 47-002 1972+001 7252-002 211 4 001 7771-002 2251001 8 275-002
0140 2027001 7454-002 2153001 7918-002 2184001 8032-002 2338+001 8595-002 2486001 9 141-002 0160 2249+001 8271-002 2386001 8715-002 2~20middotOOI 8900-002 2587+001 9511-002 2148001 1011-001 0180 2459001 9042-002 2608+001 9590-002 2645001 9725-002 21126001 1039-001 3001001 1104-001 0200 26111001 9859-002 2843001 10~5-001 2 883001 1060-001 3079 001 11 32-001 3270001 1 202-001 0250 32t-5middot001 1201-001 3461+001 1273-001 3509+001 1291-001 3747001 1378-001 3979001 1 463- 001
0300 3869001 1423-001 4101001 1509-001 4159+001 1530-001 4442001 1634-001 4718001 1 735-001 0350 4486+001 1651-001 4757+001 1750-001 4824001 1775-001 515f)001 18lt16-001 5478001 2 015-001 0400 514001 1882_001 5424001 1996-001 5500001 2024-001 5880001 2164-001 6252001 2301-001 0450 5748001 2116-001 6098001 2245-001 6185001 2277-001 661 5001 2435_001 7037001 2 590-001 0500 6381001 2353-001 6778001 2497-001 6875001 2532-001 7356+001 2709-001 7829001 2883-001
0550 7030001 2591-001 7463+001 2750-001 7571001 2190-001 8103+001 2986-001 8627001 3178-001 0600 7677001 2832-001 8150+001 3006-001 8270001 3049-001 8854 001 3264-001 Q431+001 3476-001 0 650 11326001 3014-001 8843001 3264-001 8972001 3311-001 9609+001 3545-001 1middot024+002 3 777-001 0700 8977+001 331-001 9537001 3523-001 9676+001 3S74-001 10037002 3R28-001 1middot105002 4079-001 0750 9630001 3563-001 1023002 3785-001 1038+002 3840-001 1113+002 4111-001 1186002 4384-001
0800 1028+002 3811-001 1093002 4049-001 1109002 410B-001 1189002 4401-001 1268+002 4 69 1-001 0850 1094+002 4063-001 1163+002 4316-001 1180002 4379-001 1265002 4692-001 1350+002 5002-001 0900 1110+002 4318-001 1233+002 4581-001 1251+002 4654-001 1342002 4987-001 1432+002 5 317-001 0950 1226002 4580-001 1303+002 4865-001 1322+002 4936-001 1418002 5289001 1514002 5639-001 1000 1291002 4850-001 1373002 51 51-001 1394002 5226-001 1495002 5599-001 1596+002 5 969-001
1100 14raquo3+002 5425-001 151 4002 5758-001 1537002 5841-001 1649002 6255-001 1761002 6 665-001 1400 1506+002 6072-001 1655002 6431-001 1680002 6529-001 1803+002 6q82-001 1 926+002 7 433-001 1300 1688002 6828-001 1196+002 7226-001 1823002 7325-001 1958002 7B1 9-OO1 2091002 8 310-001 1400 1821+002 7743-001 1938002 81 74-001 1967middot002 8281-001 2112middot002 eH600 2257002 9 348-001 1500 1953002 8883-001 2019+002 9346-001 2111+002 9461-001 0267002 1004+000 2423002 1061+000
Page 109
TABLE 10 (CONTINUEO)
X 00800 X 00900 X 01000 X 01100 X 01200
p OS U4 P OS U4 P OSM U4 P OSM U4 P OSM U4 (K) (TORR) (JMOLE) (TORR) (JMOLE) (TORR) (JMOLEI (TORR) IJOLE) ltTORR) IJMOLE)
0000 1567middot001 5760middot002 1764 +001 6487-002 1944+001 7147-002 2102+001 7730-002 2237middot001 8 224-002 0001 1567+001 5760-002 1761H 001 6487-002 1944+001 7147-002 2103001 7730-002 2237middot001 8225-002 0002 1567+001 5761-002 1765+001 6488-002 1944middot001 714~-002 2103-001 7731-002 2237-001 8 226-002 0003 t567middot001 5762-002 176)middot001 64 89-002 1 945-001 7149-002 2103_001 7732-002 2238-001 8 227-002 0004 1568_001 5764_002 1765-001 6491-002 1 945001 7151-002 2104001 7734-002 2238-001 8 229-002
0006 1569middot001 5769-002 1767middot001 6496-002 1 946001 7156-002 2105-001 7 39-002 2240-001 8 234-002 0008 1571001 5775-002 1769001 6502-002 1948001 7163-002 2107-001 7746-002 2242-001 emiddot 242-0020010 1573-001 5784-002 1771-001 6511-002 1951-001 7172-002 2110-001 7756-002 2245-001 8252-002 0012 1 576001 5794-002 1774middot001 6522-002 1 954001 7183-002 211 3-001 7767-002 2248001 8e63-002 0014 1579001 5806-002 1777001 6535-002 1 957-001 7197-002 211 6 001 7781-002 2e52-001 8e78-002
0016 151l001 58eO-002 1781001 6549-002 1962001 7212-002 2121-001 7797-002 2256middot001 8294-002 001 8 1597001 5836-002 1786001 6566-002 1966001 7229-002 2126+001 7fl15-002 2261-001 8 312-002 0020 1592-001 5854-002 1791-001 )584-002 1971-001 7248-002 213hOOl 7e35-002 2267+001 e333-002 0025 1606+001 5906-002 1806middot001 6639-002 1987+001 7305-002 21 47 001 7894-002 2283-001 8394-002 0030 1604-001 5970-002 1824-001 )706-002 2006-001 7375-002 2167+001 7966-002 2304-001 8 468-002
0035 1644001 6045-002 1845middot001 6785-002 2028-001 7457-002 2190-001 8051-002 2328-001 8 557-002 0040 161110001 6132-002 1870-001 6876-002 2054001 7552-002 221 7-001 81 49-002 2357-001 8 667-0020045 1694001 6230-002 1898-001 697-002 2083-001 7658-002 2247_001 8260-002 2387001 8774-002 0050 1774001 6339-002 1929001 7092-002 2115-001 7777-002 22810001 8384-002 2 421-001 8 901-002 0060 1791-001 6587-002 2000-001 73 53-002 2190-001 11051-002 2358-001 8668-002 2501-001 195-002
0070 1869-001 6873-002 2082001 7656-002 2276001 8369-002 2448_001 9001-002 2595001 9 541-002 OOAO 1907001 7195-002 2175-001 7998-002 2374_001 87lt9-002 2551001 9378-002 2702-001 9 935-002 0090 2053_001 7548_002 2277-001 8374-002 2484001 9131-002 2666001 9flOO-002 2822-001 1038-001 0100 2116-001 7928-002 2389+001 8783-002 2 600-001 9561-002 2789-001 1025-001 2951+001 1085-001 0120 gt3R30001 8762-002 2633001 9682-002 2861+001 1052-001 3065001 1127-001 3243-001 1192-001
0140 2630001 9669-002 2901-001 1067-001 3149001 11M-001 3372+001 1gt40-001 3S67-001 i31l-001 0160 2904001 1068-001 3200001 11 77-001 3 471001 1276-001 3716001 1366-001 3931middot001 1445-001 OlRO 311-001 1166-001 3494001 1285-001 3790001 1394-001 4059_001 1492-001 bullbull298-001 1580-001 0200 3455-001 1270-001 3806-001 1399-001 4130001 1519-001 4426001 1627-001 4691middot001 1 12C-0010250 42r15middot001 15lt6-001 4635+001 1704-001 5036-001 1852-001 5 1 4060ll1 1988-1ll1 5744-001 2112-001
0300 4988001 1835001 5505middot001 2025-001 5991001 2203-001 6445+001 2370-001 86001 ~524-001 0350 5794001 2131-001 6403001 2355-001 6980001 2567-001 7523_001 2761-001 8030001 ~953-001 0400 6616001 2434-001 7321001 2694-001 7993001 2940-001 8629001 374-001 9230middot001 3 395-001 0450 7451001 2742-001 8254001 3037-001 9023-001 3320-001 9757001 3590-001 1045+002 3846- 0010500 8294001 3054-001 9198001 3386-001 1007002 3706-001 1090002 4012-001 1170002 4304-001
0550 9144001 3368middot001 1015-002 3738-001 1112002 4095-001 1206002 4439-001 1295002 4769-001 0600 9999+001 3685-001 1111-002 4094-001 1219002 4489-001 1322002 4870-001 1422middot002 5 238-001 0650 1086002 4005-001 1207002 4452-001 1326+002 4886-001 1440002 5306-001 1550002 5712-001 0700 1172002 4327-001 130bullbull 002 4813-001 1 433002 528~-001 1558_002 5744-001 1679002 6 189- 001 0750 121119002 4651-001 1402-002 51 76-001 1541+002 5688-001 1677002 61 81-001 10809002 6 671-001
0800 1346002 4978-001 1500002 5543-001 1650+002 6094-001 1796002 6632-001 1939-002 7156-001 0850 1433middot002 5309-001 1598+002 5913-001 1758-002 6504-001 1916002 7082-001 2069-002 7046-001 0900 1510002 5644-001 1696002 6288-001 1867002 6920-001 2036002 7538-001 2200002 S142-001 0950 1608002 5986-001 1794 002 6670-001 1977002 7342-001 2156002 8000-001 2331middot002 8 644-001 1000 1696002 6336-001 1893002 7060-001 2086002 7772-001 2276002 8470-001 2463002 9155-001
1100 1871002 7072-001 2091002 7877-001 2306002 8670-001 2518002 9450-001 2727002 1 022000 1200 2048+002 7881-001 2289-002 8767-001 2527002 9641-001 2761+002 1050000 2992002 1135000 1300 2224-002 8799-001 2487-002 9767-001 2747002 1072-000 3004 -002 1167-000 3258002 1260+000 1400 2401-002 9877 001 2686+002 1093-000 2969002 119000 324amp-002 1299-000 3524+002 1 400-000 1500 2578002 1118-000 21186+002 1231+000 3190-002 1343-000 3492_002 1454-000 3791-002 1564-000
Page 110
TABLE 10 (CONTINUED)
)( 01300 )( 01400 X bull 0middot1500 X bull 01600 X bull 01 800
P 0gt U4 P OS U4 P OS U4 P OSM U4 P OSM U4 (K) (TO~RI (JMOLE) (TORR) (JOLE) nORR) (JOLEI (TORR) (JMOLEI (TORR) tJOLE)
0300 7248001 2665-001 7594+001 2792-001 7902001 2905-001 8170+001 1003-001 8578001 3 152-001 0350 0 400
13501+001 9792001
3126-001 3601-001
8933001 1032002
3285-001 3794001
9 1 326+0111 1080+002
34ZQ-QU3971001
9677+QQl 1124002
3558-gU 41 33-001
1025002 1middot199+002
3 768-001 4 408-001
0450 1111002 408B-001 1173002 4315-001 1231002 4527-001 1284+002 47Z3-001 1318middot002 5061-001 0500 1245002 458Z-001 1317+002 4846-001 13a5+00z 5094-001 1448+002 53Z6-001 1middot56100Z 541-001
0550 13111+002 5084001 1463+00Z 5384-001 1541002 5669-001 161 4 002 5938-001 1747middot00Z 4Z7-001 0600 1519002 5591-001 161100Z 59Z9-001 1 699+00Z 6Z52-001 1782+002 6559-001 1936+002 71Z3-001 0650 0700 0750
1657+002 1796002 191700Z
6103_001 66Z0-001 71 41-001
1760+002 1910+00Z 2060middot00Z
6480-001 70 36-001 7596-001
1858+002 Z019+00Z Z180002
6841-001 7436-001 8035-001
195c002 2123+00Z Z29b00Z
71 87-001 7AZO-001 8459-001
21Z7+00Z Z319+002 251300Z
7 8Z7-OO1 8 539-001 9 258-001
0800 207700Z 7666-001 2Z1Z+00Z 81 61-001 Z343+00Z 8640-001 Z469002 9104-001 2709+00Z 9 982-001 0850 0 900 0950 1000
ZZ19+00Z 2361002 Z503+00Z 2646+002
8196-001 8731-001 9Z74-001 98Z6-001
2364middot00Z 2S17+00Z 2671+002 2824+002
8731-001 9307-001 9890-001 1048+000
Z506+002 Z670+00Z Z834+00Z 2999+002
9250-001 9867-001 1049+000 1112+000
264300Z Z91 8+00Z 2994+00Z 370middot00Z
9754-001 1041000 1108+000 11 75000
2 90Smiddot00Z 310Z+00Z 3300middot00Z 3499+002
1071000 1145+00( 1middot 2Z 0+ 000 1 296 000
1100 2932+00Z 1097+000 3133middot00Z 11 71middotOno 333000Z 1243+000 35Z4002 1314000 38911middot00Z 1 452 +000 1200 3Z19middot00Z 1219000 344002 1301+000 3 b63+00Z 1382+000 387900Z 1461+000 4300+00Z 1 61lmiddot000 1300 1400
3511+002 379600Z
135Z000 1501+000
375400Z 4066 +002
14Z000 1599+000
399700Z 4331+00Z
1531+00n 1697+000
4236+002 4594+00Z
1619+000 1793+000
4702+002 S107+00i
1 790 000 1 98 1000
1500 4086+002 1672000 4378002 1779+000 4667002 1885+000 4952002 1990000 551Z+002 2 195000
TABLE 10 (CONTINUED)
)( 02000 X nZ250 X 02500 X 0Z7SO X bull 03000
p OS U4 P OSM U4 P OS U4 P OS U4 P OS U4 (K) (TORRI (JMOLE) (TORRI eJMOLE) (TORR) (JMOLEI eTORR) (JMOLE) (TORRI IJOLEl
0300 8807001 3236-001 88Z1+001 3240-001 8510001 3124-001 7f4b+001 2878-001 6801+001 2 493-001 0350 1064middot002 3910-001 108~+00Z 3987-001 1074middot00Z 394Z-001 1026+002 3766-001 9409+001 3449-001 0400 0450 0500
IZII)6+00Z1453+00Z 16-6+00Z
4614-001 5341-001 6086-001
1Z98middot00Z 1519+00Z 1746+00Z
4770-001 5581-001 6414-001
1308+002 155Z+00Z 18Z+QQZ
4803-001 5697-001 ~618-QOl
IZ82+002 1548+00Z 18Z3+00Z
4704-001 5681-001 690-001
1217+00Z 1506+00Z 1805002
4464-001 55Z3-001 6 619-001
0550 18I)Z+002 6846-001 1977-002 7Z65-001 Z058+00Z 7561-001 Z104+002 7724-001 2111+002 145-001 0600 0650 0700 0750
Z071+00Z 2Z113+00Z 2491-00Z Z713+00Z
7617-001 8399~001 9189-001 9987-001
Z212+002 Z450-002 Z691+00Z 2934+00Z
81 31-001 9009-001 9898-001 1080000
Z319+002 25114+00Z Z85Z+002 3123+002
8521-001 9496-001 1048+000 1148+000
Z391+002 Z683_00Z Z978+002 3Z7600Z
8779-001 9-51001 1094+000 1204000
Z425middot00Z Z743+002 3066+00Z 3393+002
11895-001 1 007 -000 1 1Z5 +OOO 1246+000
0800 0850 0900 0950 1000
29~0middot00Z 3148+00Z 3368+00Z 3589+002 3810middot00Z
1079+001) 1161+000 1243-000 13Z6-000 1410-000
3179002 34Z6+002 3674+002 3923+00Z 4173+00Z
1110000 IZ6Z+000 1354 +000 1449+000 1543+000
3396+00Z 3 671+00Z 3948+00Z 42Z6+002 4505+00Z
1Z49000 13H+000 1454+000 1558+000 1664+000
3571hOOZ 388200Z 4188_00Z 4495+00Z 4805+002
1315000 1428+000 1541000 1656 +000 1772+000
37Z3+00Z 4056-00Z 439Z+00 41 47Z9+002 5069+00Z
1 368000 1 49 1+000 1 615000 1 74 1+000 10 868+000
1100 4256+002 158Z+000 4677+00Z 1736+000 5068+002 1879+000 54Z8+00Z Z010000 0753+00Z ZIZ8+000 IZ00 1300 1400
4703+002 5153+002 5605+00Z
1763+000 1955+000 Z164000
5184-002 5693+002 6Z0 4+00Z
1939+000 ZI12middotOQO Z383+000
5635+00Z 6Z04+00Z 6776+00Z
Z103+000 Z339+000 Z592-000
6055+00Z 6686_002 7320middot00Z
Z256-000 ZSI5+000 Z790+000
6 443middot00Z 7137+00Z 7834+00Z
2 396 +000 2middot b78 +000 Z976+000
1500 605 7 -002 2395+000 6717+002 Z637+000 7351+00Z Z86+000 7957+002 3089+000 8535+002 3 Z98 -0OO
Page 111
TABLE 11
THE SPECIFIC HEAT 0 THE TOTAL HE3 - HE4 ~OLUTION
C IJMOLE-I()
TX 01001 00002 00005 00010 00020 00030 00040 00050 00060 00080
(I()
0000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 0002 0003
6509-004 949_004 1066_003
8928_004 1516_003 1853_003
1254_003 2402_003 3316_003
1593-003 3139_003 4514-003
2016_003 4010_003 5956_003
2314-003 4613_003 6882_003
255it_003 5094_003 1112-003
215-003 S50_003 8 I29-003
2933-003 5858_003 8168_003
3239-003 Amiddot12-003 9 693-003
0004 1124-003 2040-003 3910_003 5828_003 1821-003 9101_003 1010-002 093-002 1166_002 i290-002
0006 1171-003 2221-003 4180-003 1103-003 1115-002 13l9-002 1489_002 1620-002 113l-002 1 923-002 0middot008 lol01-003 2middot315-003 5l1 4-003 8924-003 1382-002 1100-002 1932-00l 2119-002 2217-002 2 54 1-002 OOlO 0012 0014
124-003 t 222-003 12l1-003
2middot364-003 2394-003 2middot414middot003
5413-003 5640-003 5155-003
9121-003 1028-002 1067-00l
1586-002 1141-002 1860-00l
2010-002 2263-002 2468-002
2327-002 2666-002 2951-002
pS18-002 li990-00l 3349-00l
2790-002 3259-002 3683-002
~136-002 3middot 699- OO 4224-002
0016 0018 0020 0Ol5 0030
1231-003 1234-003 1236_003 240-003 1243_003
2429-003 2439_003 2447_003 2461-003 2470-003
5838-003 5899_003 5941_003 6021_003 6071-003
1091-002 1119-002 1136-002 11 66-002 1185-002
1952-002 20l4-002 20U-00l 2187-002 2255_002
2635-002 2171-00l 2883_002 3088-00l 3226_002
31 92-002 3395 _O0l 3560_002 3888_002 4l09_00l
110 6511-002 3926-002 4156-002 603-002 4917-002
4056-002 4384-002 4612-002 5245-002 5659-002
4 (07-00l 5145-002 5 538-002 6353-002 6 913-002
0035 1245-003 2477-003 6111-003 11 97-002 2301-002 3321-00l 4I68-002 51 46-002 5965-002 447-002 0040 1248-003 2483-003 6136-003 1206-002 2334-002 3392-002 4385-002 5319-002 6198-002 7814-002 0045 0050
1251-003 1254-003
2487-003 2492-003
6155-003 6170-003
121]-002 1218-002
2359-002 l379-002
3445-002 3486-002
4414-002 4~43-002
545 t-002 554-002
6319-002 6523-002
8104-002 bullbull l38-002
0060 1262-003 2503-003 6196-003 1226-002 2406-002 3545-002 4644-002 5706-002 6133-002 8687-002
0010 1273-003 2515-003 6218-003 1232-002 2426-002 3586-002 471 4-002 911-002 6818-002 8929-002 0080 0090
1287-003 1305-003
2530-003 2549_003
6240-003 6264-003
1236-002 1241-002
2440-002 2451-002
3615-00~ 3637-002
4763_002 4S01-002
5886-002 lJ9 43-002
6983-002 7063-002
9 107-002 9 24 1-002
0100 0120
1328-003 13S1-003
2572_003 2632_003
6291-003 6356_00 3
1245-002 1253-002
2460_002 2476_002
3655_002 3683-002
411131-002 4875_002
5987-002 6053-002
1125-002 7215-002
346-002 9 498-002
0140 1471-003 2716-003 6444-003 1263-00l 2 491-002 3106-002 4910-002 Cmiddot101-002 7280-002 605-002 0160 0180 0200 0250
1middot581-003 17~3-003 1900-003 2523-003
2827-003 2969-003 3146-003 3710-003
6557-003 6101-003 6879-003 7505-003
1215-002 1290-002 1309-002 1372-002
2507-002 2524-002 2544-002 2 611-002
3128-002 3749-002 3773-002 3844-002
4939-002 4966-002 4994-002 5073-002
61 40-002 70331-002 615-002 7315-002 ~208-002 1415-002 6196-002 1514-002
9middot85-002 9 751-002 808-00l 9 935-002
0300 3453-003 4699-003 8435-003 1465-002 2106-002 3943-002 5176_002 6404-002 7629-002 1 007-001 0350 0400
4150-003 6415-003
5996-003 1122-003
9733-003 1146-002
1595-002 1168-002
2831-002 30ll-002
4076-002 4251-002
5311-002 548ti_002
6544-002 6723-002
7713-002 1955-002
t022-001 1 041-001
0450 8691-003 9931-003 1367-002 1990-002 3233-002 4474-002 5712_002 6949-002 8183-002 1065-001 0500 1146-002 1210-002 1644-002 2266-002 3510-002 4751-002 5991_002 7228-002 8464_002 1093-001
0550 14114-002 1608-002 1982-002 2604-002 3848-002 50At-002 632-002 715611-002 8804-002 i127-001 0600 0650 0100 0750
1898-002 2563-002 3694-002 5612-002
l022-00l 2688-002 3819-002 5736-002
2396-002 3061-002 4192-002 6109-002
3018-002 3683-002 4813-002 6729-002
4261-002 4 926-002 6055-002 7969-002
5503-002 6167-002 7296-002 9208-002
6743-002 1407-002 8535-002 1045-001
7982-002 86411)-002 9714-002 11611-001
9220-002 9884-002 10101-001 10 292-00 1
1169-001 1236-001 348-001 1539-001
0800 8718-002 8842-002 9214-002 9833-002 1107-001 1231-001 1354-001 1418-001 1601-001 1847- 001 0850 0900 0950
10346-001 2031-001 2970-001
1359_001 2043_001 l982001
1396-001 2080-001 3019-001
1457-001 21 41-001 3080-001
1581001 2264_001 3201-001
1704-001 2387-001 33l3-001
1e21-OO1 2509-001 3444_001
195 0-001 2631-001 3566-001
l073-001 2754-001 3687-001
2 318-001 2 998-001 3930-001
1000 4203-001 42lS-00l 4252-001 4312-001 4432-001 4553-001 4173_001 193-001 4913-001 5153-001
1100 7106-001 7718-001 7153-001 7812-001 1929-001 8046-001 8162-001 8middot279-001 8396-001 8 629-001 1200 1292+000 1293+000 1296+000 1302+000 1313+000 1324+000 1335000 1346+000 1357+000 1380+000 10300 1400
2046+000 3115+000
2047middot000 3116+000
2050+000 3119+000
2055+000 3124+000
2066000 3133middot000
2076+000 3142+000
2087+000 3152000
raquo097+000 31 61000
2107+000 3170+000
2 128+000 3189+000
1500 41532+000 4533middot000 4535middot000 4539+000 4541+000 4555+000 4063+000 4middot11+000 4579+000 4595+000
Page 112
TAIR 11 (CONTINuEDI
C (JOLE-IltI
011100 00130 00200 00250 00300 00350 00400 00450 00500 00550T~ 110
0000 0000middot000 II 000000 00011middot000 0000middot000 0000middot000 0000middot000 0000000 0middot000middot000 0000000 0000middot000 0001 3~00middot003 4035003 4410003 484 3003 5115-003 5415-003 515-003 1009-003 6250-003 6471-003 0002 69CJ5003 8067_003 8937003 9685003 1035_002 1095_002 11 511-002 1202-002 1250_002 1295-002 0003 1048-002 209_002 1340-002 1452-002 1552002 1642-002 112S_002 11102-002 1814-002 1943- 002 0004 13CJ5_002 1611_002 1186_002 1935002 2068_002 2189_002 2299002 2402_002 2499_002 2 590-002
0006 2084-062 2410-002 2614-002 2899-002 3099-002 3280-002 3441-002 3601002 3746-002 3 1t83-002 0008 2160-002 202-002 3556-002 3858-002 4126-002 43611-002 4591 -002 41 91-002 4991-002 5114-002 0010 3419-002 30982-002 4430-002 4811-002 5148-002 5452-002 5131-002 5990-002 6233-002 emiddot461-002 0012 4054-002 4148-002 5294-002 5156-002 6163-002 6529-002 6866-002 11111-002 1410-002 1745-002 0014 4659-002 5495-002 6144_002 6690-002 7169-002 7600-002 7994_002 8360-002 8702-002 025-002
0016 52lt6-002 6219-002 6918_002 1611-002 8165-002 8661-002 9115-002 953-002 9928002 1 030-001 0018 5156-002 915-002 1792-002 8517-002 9148middot002 9112-002 1023-001 1070-001 1115-001 1middot157-001 0020 6243-002 1518_002 8582_002 9405-002 1012-001 1015-001 11 33_001 1 86-001 1236001 1282-001 0025 72111-002 9085-002 1043-001 11 53-001 1246middot001 1328-001 140J-001 1471-001 1534-001 1593-001 0030 8102-002 1036-001 1209-001 1348-001 1 466_001 1569_001 1662_001 1146-001 1824-001 1 891-001
0035 a150-002 11 42-001 1352-001 1524-001 1668-001 1795-001 1908-001 2middot010-001 2104-001 2191-001 0040 9264-002 IUI-00l 1416-001 1619-001 1853-001 2004-001 237-001 2259-001 2311-001 2 4 14-001 0045 9616-002 1305-001 1582-001 1816-001 2017-001 2194-001 2]51-001 2 0493-001 2623-001 2 143-001 0050 1001-001 1middot361-001 1614-001 1936-001 2164-001 2366-001 2541 -001 2710-001 2860-001 2 997-001 0060 1052-001 1464-001 1821-001 2134-001 2412-001 2661-001 2886-001 092-001 3282-001 ]457-001
0070 1088-001 534_001 1931-001 2287-001 2608-001 2899-001 31 66-001 412-001 3640-001 31153-001 0080 10114-001 1587-001 2015-001 2406-001 2764-001 3093-001 3397_001 680-001 3943-001 4- 190-001 0090 1134-001 1628_001 2081-001 2500-001 2889-001 3250-001 3587_001 3903-001 4199-001 4 479-001 0100 1150-001 660-001 2134-001 2576-001 2990-001 3379-001 3745-001 4090-001 4416-001 4 125-001 0120 1173-001 1707_001 2212-001 2691-001 3145-001 3571-001 3988_001 4381-001 4756-001 5115 001
0140 1188-001 1740-001 2267-001 2771-001 3255-001 3119-001 41 65-001 4593-001 5007-001 5 405-001 0160 1200-001 1764-001 2307-001 28l1-001 3336-001 38Z5-001 4298-001 4755-001 5197-001 15 627-001 0180 1210-001 783-001 2338-001 2816-001 3398-001 3906-001 4399_001 4880-001 5347-001 SJJ01-001 0200 10217-001 1797-001 2362-001 2912-011 3 447-001 3970-001 4480-001 4977-001 5464-001 Smiddot940-001 0250 1234-001 1826-001 2406-001 2976-001 3535-001 4083-001 4123-001 51 52-001 5673-001 6185-001
0300 1249-001 1848-001 2439-001 3020-001 3594-001 4160-001 471 7001 ~26R-00I 5811-001 6 347-001 0350 1266-001 810-001 2467-001 3057001 3640-001 4217-001 4788-001 5352-001 5911-001 6 4 64-001 0400 1286_001 1893_001 2495_001 309 1-001 3681_001 4266_001 41146_001 5420-001 5990-001 6554001 0450 1310001 1920_001 2525_001 3125-001 3 720_001 4311_001 4891_001 5479-001 6057_001 6630-001 0500 1339_001 1951_001 2558001 31 61_001 3160_001 4356_001 4947_001 5535-001 6119-001 6 b99-001
0550 1374-001 1987-001 2596-001 3202-001 3804-001 4402-001 4998_001 111590-001 6179-001 6764-001 0600 1416-001 2030-001 2640-001 3248-001 3852-001 4454-001 5052-001 5648-001 6240-001 6 830- 001 0650 1482-001 2097-001 2709-001 3318-001 3924-001 4527-001 5128-001 5726-001 6322-001 6 915-001 0100 1middot595-001 2210-001 2822-001 3432-001 4039-001 4644-001 5246-001 5846-001 6444-001 1040-001 0750 10185-001 2400-001 3012-001 3622-001 4230-001 4835-001 5439-001 6040-001 6639-001 7236-001
0800 20CJ3-001 2707-001 3318-001 3928-001 4535-001 5140-001 5744_001 6345-001 6945-001 7 542-001 0850 2564-001 3175-001 3185-001 4393-001 4999-001 5603-001 6205-001 806-001 1405-001 8002-001 0900 3242-001 3851_001 4458-001 5063-001 5666-001 6268-001 6868_001 1466-001 8063-001 8659-001 0950 4112-001 4716-001 5379-001 5980-001 6580-001 7178-001 7714-001 111middot369-001 8962-001 9554-001 1000 5393-001 992001 6589-001 1184-001 7178-001 8371-001 8962-001 9552-001 1014000 1 073000
1100 8162-001 9444-001 1002middot000 1060000 1118middot000 1176middot000 1233000 1291000 1348+000 1405000 1200 1402000 14580000 1513000 1568000 1624000 1679+000 1734000 1789middot000 1844000 i 898middot000 1300 2149middot000 2201000 2253middot000 2304middot000 2356000 2407000 2459000 2510middot000 2561middot000 2 612000 1400 3208000 3254000 3301middot000 3347000 3393000 3440000 3486000 3S32middot000 3518middot000 3 623000 1500 4611middot000 4650000 4690000 4729middot000 4168middot000 48070000 4846000 488middot000 4924middot000 bullbull 963middot000
Page 113
TABLE 11 (CONTINUE)
C IJMOLE IO
0 00600 00640 00650 00700 00750 00800 OOYOO 01000 011 00 01i00
00
0000 00110+000 (1000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0middot000+000 0000+000 0000+000 0001 6693-003 6858_003 6899_003 7096-003 7285-003 7467_003 71114_003 bullbull 139-003 8447-003 8 74 0-003 000i 1339-002 137i-002 1380-00l 1419-002 1 1057-002 1493-002 1563_0(12 628-002 168Q-00l 148-002 0003 200 8_002 2057_002 2069_00 2 2128-00i 21115_00i 224O_OOi 2344_002 2441-002 2534_002 2 622-002 0004 i676_00i 2743_002 2759-002 2838-002 29 13_002 2986_002 3J2amp-002 3255-002 3378-002 3495-002
0006 4013-002 4112-002 4136-00l 42amp5-002 4369-00i 4478-002 4 86-002 4e81-002 5066-002 Si42-002 0008 5347-002 5480-002 5512-002 5670-002 58ii-002 5968-002 6i46-00i 650-002 6753-002 6988-002 0010 6679-002 845-002 6885-002 7083-002 1273-002 7456-002 7803- 002 11130-002 8438-002 8middot732-002 0012 8006-00i 1I206-00i 8255-002 8493-00i 8722-002 8941-002 9359-002 Q S1-OO2 1012-001 1047-001 0014 9330-002 9564-00i 9621-00i 9819-002 1017-001 1042-001 1091-001 11 37-001 10180-001 1 22 1-001
0016 10t5-001 1092-001 1098_001 11 30-001 1161-001 1190-001 1246_001 loi9s-001 1 348-001 1 395-001 0018 1196-001 1226_001 12310-001 1270-001 1304-001 1337-001 1400-001 1459-001 -515-001 1568-001 0020 1327_001 1360 001 1369 001 1409-001 1 447_001 1484_001 1554_001 1620-001 168i-001 1 741 - 001 0025 1649_001 1692-001 1703-001 1753-001 1802-001 1849-001 1937- 001 iOiO-OOl i098-001 2172-001 0030 19M-00I i018-001 i030-001 209i-OOl iH51-001 ii08-001 i3IS-001 i415-001 i510-001 2 599-001
0035 2i73-001 2336-00 i351-001 i4i4-001 i494-001 i561-001 i89-001 2A06-001 i917-001 3023-001 0040 i570-001 i6103-001 i661-001 i747-001 28i9-001 i901-001 3054_001 3191-001 3320-001 3441-001 0045 2855-001 2939-001 2960-001 3059-001 3154-001 3243-001 3412-001 middot569-001 3715-001 3 854-001 0050 3125-001 3222-001 3245-001 3359-001 3466-001 3569-001 3760-001 393A-00I 4103-001 4 259-001 0060 3621-001 3744-001 3173-001 3916-001 10052-001 4181-001 442l-001 4644-001 4851-001 SOH-OOI
0070 40111-001 420i-001 4i38-OO1 4414-001 4581-001 4739-001 5032_001 530i-00 5553-001 5 787-001 0080 443-001 45-001 4642-001 4850-001 5047-001 5235-001 5086_001 5908-001 6204-001 6 1081-001 0090 4743-001 4944_001 4993-001 5i31-001 5458_001 5674_001 6080-001 0454-001 6802-001 1126-001 0100 501 8-001 5242 001 5297_001 5563-001 5818_001 6062-001 6020_001 6946-001 7342-001 7 13-001 0120 5459_001 50724_001 5789_001 6106-001 6 411-001 6705_001 7i6~_01)1 7782-001 8270-001 8 31-001
0140 5790-001 61189-001 616i-001 6S21-001 6869-001 7206-001 7848_001 8454-001 9026-001 569-001 0middot160 6044-001 6369-001 6449-001 6843-0111 7226-001 7599-001 831 4-001 8994-001 9641-001 1 026-0011 0180 6i44-001 6590-001 6676-001 7098-001 7509-001 7911-001 868amp-001 9-431-001 1014000 1 082+0011 0i00 6405-0111 6769-001 6859-001 7303-001 7739-001 8165-001 8Q9J-OOI -789-0 0 l 1056+000 1129+1100 02511 6689-001 7086-001 7184-001 7673-001 8154-001 8626-001 9S5U-ODI 1045+000 1132+0110 1216+000
0300 6877-001 7295-001 7399-001 7915-001 8 425-1101 8929-001 9lt11 9-001 1089+1100 1183+0110 1 276+000 0350 7011-001 7444_001 7552001 8088-001 8619-0111 9145-001 1018+000 11211+000 1ii0-DOO 1 318+000 11400 711 4-001 7559_001 7669-001 8220-001 8766-1101 9308-001 1038+000 11 43+000 1247+000 t 349 +ODO 0450 7i00-ODl 7653_001 7765_1101 83i7-001 8885_001 9438_001 1054 +0011 1162+000 1~269000 1 374 +000 11500 7276-001 7735-0111 7849-0111 8419-001 8985_0111 9549_001 1061+0(10 11 77+000 1286+0110 1 394+000
0550 7347-0111 7811-001 1920-001 8503-001 9076-001 9647-001 1078 -01111 1190000 1301+0011 411 +000 0600 7417-001 7885-1101 8001 001 8583-1101 9162-001 9739-1101 1088+11110 1middot202+000 1314+1100 4i6+000 0650 7SDI-001 7976-001 80910-001 8679-0111 9263-001 9844-1101 10 100+11110 1215+000 13i8+00D 1441+000 07011 76]3-001 8106-1101 8224-001 8813-001 9400-001 9985-001 111 5+000 1(31)+000 1345+0110 1 459+000 0750 7middot831-001 8306-1101 8424-001 9015-001 96115-001 101119+1100 1136+000 1middot252+000 1368+000 1482+0011
08110 81~8-001 8614_11111 873i-001 9325-1101 9915-0111 1050+000 1168+000 1284+000 1400-000 515+0011 118511 11laquo97_001 91173_1101 9191-11111 9183-0111 11137+11110 111960110 121 4000 1330+11110 1446+1100 1 562+0011 0900 9i5i-OD1 9726-001 9845-001 1044+0110 1102+11110 1161+000 1218000 1395+0110 1511000 6i6+000 0950 101114+0011 11162+000 1073+111111 11 32+0011 1191+1100 1249+000 1366+000 14820011 1598+000 bull fl3+000 1000 1131+0110 11780011 1190-000 1248+1100 1306+000 1364000 1480+0110 11595+000 1710+000 1 824+0011
1100 14(12+0011 1508+1100 151 9+1100 1576+01111 1633+0011 1689+000 180i+QOO 1914+11110 2026+000 2138+000 121111 1953+000 1997+1100 21101+11110 20tli+DDO 2116000 i170+DDO iZ79_DDO 2386+0011 2494+11011 ZbOl+QOQ 103011 2663-1100 2704+11011 2114+000 i7b5+00Q 2816-000 2866+000 2961_11110 306e+000 3168+000 3 268+000 141111 369+11110 37116-000 3715+1100 3760+000 3806+000 3851+000 3942+11011 40 32+000 4122+111111 4 212+0011 15110 5002+000 51133+000 5041+0011 5079-000 5118+ 000 5156+0011 5233+0011 ~309+QOQ 5386+000 5 46i+ODO
Page 114
TABLE 11 ltCONTINUED)
C IJMOLEmiddotIO
01300 01400 01500 01600 01800 02000 02250 02500 02150 03000~ (I( )
0000 0000+000 0000+000 0000+000 0000+000 0000middot000 0000+000 0000+000 0000middot000 0000+000 0000+000 0001 9020003 9288_003 9547003 97n-003 1027-002 1072002 11 20_002 1177-002 1225-002 1i72-002 0002 1804_002 1158_002 1909_002 1959_002 2055_002 2145_002 2252_002 2353-002 2450_002 2 544-002 0003 2706_002 2786_002 2864_002 2939_002 3082_002 3217002 3378_002 3530_002 3676_002 3amp16002 0004 3607_002 3715_002 381 8002 3918_002 4109002 4289_002 4503_002 4706_002 4901_002 15 088002
0006 5410-002 5571middot002 5727-002 5817-002 6163-002 6434-002 6154_002 7059-002 7350-002 7 03 1-002 0008 7212-002 7427-002 7634middot002 7834-002 8216middot002 8577-002 9005-002 9411-002 9800-002 1011-001 0010 9012-002 9281-002 9540-002 9790-002 1027-001 10072-001 1125-001 1middotP6-001 1225-001 1272-001 0012 1QIH-OQl 1middot113-001 1144-001 1175-001 1232-001 1286-001 135U-OOI 1middot411-001 147 0-001 1 526- 001 0014 1middot261-001 1298-001 1335-001 1370-001 1 437-001 1500-001 1575-001 10646-001 11 14-001 1 180-001
0016 1440-001 1483_001 1525-001 1565-001 1641-001 1714-001 1799_001 1881-001 1959-001 2034-001 0018 161 9-001 1668_001 174-001 1760-001 184tgt-001 1927-001 2024-001 215-001 2203-001 2 287-001 0020 11lt)8001 1852_001 1904-001 1954_001 2050-001 2141_001 2248 001 2350 001 2447-001 2 54 1-001 0025 2243-001 2311-001 2376_001 2439-001 2559-001 2673-001 280 7001 2935-001 3056 001 3174-001
0030 26A5-001 2707_001 2846_001 2921-001 3066001 3203_001 336-001 351A-00l 3664_001 3 8OS-001
0035 3123-001 3219-001 3312-001 3401-001 3570-001 3730-001 3919-001 4094-001 4270-001 4 435-001 0040 3557-001 3668-001 3774-001 3876-001 4071-001 4254-001 4471-001 4677-001 4873-001 5062-001 0045 39A5-001 4111-001 4231-001 4347-001 4568-001 4775-001 502U-001 5252-001 5474-001 5 687-001 0050 4407-001 4548_001 4683-001 4813-001 5060-001 5292-001 5560-001 1125-001 6072-001 6309-001 0060 5227-001 5401-001 5567-001 5726-001 6028-001 6310-001 6643-001 6 951-001 1256-001 7542-001
0010 6008-001 218_001 6417-001 6608-001 6 968-001 7304-001 7 98_0111 A06lt)-001 8421-001 8 759 001 0080 6743-001 6991-001 7220-001 7451-001 7874-001 8267-001 8726001 91 56-001 9565middot001 9955-001 0090 1430-001 7716_001 7988001 8249-001 8738_001 9192-001 9120-001 1021+000 1068+000 1 113 +000 0100 8062-001 8392-001 8704-001 9000-001 9551-001 1008000 1068000 124+000 1177+000 lc27000 0120 lt)17 001 9580_001 9914-001 1035+000 1106+000 117+000 1246 +000 1316+000 1382000 1444+000
01 40 1008+000 1058+000 1105+000 1150+000 loc35+000 1314+000 1406+000 1491+000 1570+000 645+000 0160 1085+000 1141middot000 1195+000 1247+000 1346+000 1438+000 11146000 1740+000 829+000646+000 0180 1148+000 1211+000 1272middot000 1330+000 11141+000 1546+000 168+000 1783+000 1891+000 1994+000 0200 1201+000 1269+000 1330+000 1400+000 1523+000 1639+000 1176+000 1904+000 2026+000 2141middot000 0250 1299+000 1379+000 1457+000 1534+000 1681+000 1821middot000 1lt)89+000 247+000 2299+000 2 444+000
0300 1366+000 1454+000 1541+000 1626+000 1791+000 19H+000 21 42 +000 325+000 2502+000 2 671+000 0350 141 4+000 1509+000 1602+000 1694 +OOl 1872+000 2046+000 2255+000 2451+000 2654+000 2 844+000 0400 1450000 1549+000 1647000 1744+000 1 934+000 2118+000 2342+000 2560+000 2771+000 2 978+000 0450 1478+000 1581+000 1683+000 1783000 1981middot000 Z174+000 2410+000 C640+000 2864middot000 3083+000 0500 1501+000 1607000 1711middot000 1815middot000 2019+000 2219+000 246S+0IHI 2104+0 2939+000 3 169000
0550 1520+000 1628+000 1735+000 1841+000 2050+000 2256+000 2509+000 751+000 3000+000 3 240+000 0600 1537+000 1641+000 1756+000 1864middot000 2077+000 2288+000 2541000 2801middot000 3051+000 t29S+000 0650 1553+000 1665+000 1775middot000 1885+000 2102+000 2316+000 2580 +000 2140middot000 3096+000 3349000 0700 1512+000 1685+000 1796+000 1907+000 2121+000 2345+000 213000 2818middot000 3139middot000 3396+000 0750 1596+000 1710+000 1823+000 1935middot000 2157+000 2317+000 26411 +000 2417+000 3181+000 3 443+000
0800 16~0+000 1744+000 1857+000 1970+000 2194+000 2416+00amp 2690+000 961+000 3229+000 1494+000 0850 1677+000 1191+000 1905middot000 2018+000 2243+000 2466+000 2142+000 3015+000 3285+000 3 552+000 0900 1141+000 1856+000 1969+000 2083+000 2308+000 2531+000 2808000 3082+000 3353+000 3 622+000 0950 1821+000 1941+000 2055000 2168middot000 2393+000 2616+0011 2892+000 3166+000 3438+000 3 101+000 1000 1938+000 2051+000 2164+000 2217+000 2501+000 2723+000 2998+000 3211+000 3542+000 3 810000
1100 2249+000 2360+000 2410+000 2580+000 2799+000 3011+000 3287+000 3554middot000 3820+000 4084middot000 1200 2707+000 2814+000 2920+000 3025000 3236+000 3445+000 3704+000 3962middot000 4218+000 4bullbull12+000 1300 3368+000 3467+000 3566+000 3665+000 3862+000 4051000 43011+000 4541+000 4181+000 5019+000 1400 43(12middot000 4391middot000 4480+000 4568+000 4745+000 4920+000 5138+000 5355+000 5569+000 5783+000 1500 5537+000 5613+000 5688+000 5163+000 5 912000 6060+000 6244000 6427+000 6608+000 6 788+000
Page 115
TA8Le 12
THE ENTROPy OF THE TOTAL HE3 - HE SOLUTION
5 (J140LE-K)
~ 011001 00002 00005 00010 00020 00030 00040 00050 00060 00080
UO
0000 0001 0002 0003
0000+000 7128_004 1271-003 16111-003
0000+000 9212_004 1751_003 2411_003
0000+000 126-003 2495_003 3651_003
0000+000 1598_003 lI BO-003 4129_003
0000middot000 2019_00l bullbull 030-003 0026_003
0000+000 2316_003 4626_003 6927_003
000(1+000 21554_003 ~103_003 7t II _OO3
0000+000 c75_003 50-003 8255_003
0000+000 2933_003 5 8h_003 8790_003
0000+000 3239- 003 677-003 9110-001
000 1996-003 299B_003 4701-003 62l2-003 7997-00l 9212_003 10111-00~ i099-002 1171-002 1 29-002
0006 2464-003 3866-003 6483-003 8966-003 1 IB2-002 10371-002 15111-002 1middot-002 1 151-000 1 937-002 0008 0010
2806-003 3075-003
bullbull520-003 503-003
7923-003 9117-003
1136-002 1345-002
151-002 1872-002
1805-002 2219-002
2009-002 2483-002
21 7A-002 2701-002
2l25-00l 28B9-002
2middot~15-002 3a 06-OO2
0012 3298-003 5477-003 1013-002 1527-002 2176-002 2609-002 29311-002 320A-002 30440-002 3 1129-002 0014 3486-003 5847-003 1101-002 1689-002 2 bullbull54-002 2973-00 3371-002 3697-002 3975-002 4439-002
0016 36M-003 6PI_003 1178-002 1833-002 2708-002 3314-002 3782_002 bullbull 165-002 4491-002 5035-002 Omiddotou 0020
3796-003 3926-003
6457-003 6115-003
1247-002 1310-002
1964-002 2082-002
292-002 3159-002
3633-002 3931-002
41 70-002 4536-002
611-002 5037-002
bullbull988-00l 5466-002
51115-002 6178-002
0025 0030
bullbull 202-003 4428-003
72amp3-003 7712-003
1bullbullbull4-002 1554-002
2339-002 2554-002
3amp36-002 bullbull 01-002
bullbull 598-002 5174-002
53amp9_002 60 99-002
6016-002 1188-002
6573-00l 7568-002
705-002 821-002
0035 bullbull620-003 8094-003 1648-002 2737-002 bullbull 392-002 5678-002 6745_002 7660-002 8 bullbull64-002 9833-002 0040 0045 0050 0060
4786-003 bullbull 934_003 5066_003 5295-003
8425-003 8717_003 8980_003 9435_003
1730-002 1802-002 1867-002 1980-002
2898-002 3040-002 3168-002 331-002
4702-002 bullbull 978_002 522a-002 5664_002
6127-002 6529_002 6890_002 7536_002
7323middot002 7844-002 831 9_0112 91)1-0n2
80359-002 0993-002 9573-002 1060-001
9277-00l 1002-001 1070-001 1191-001
1085-001 1179-001 1266-001 1 4Z1-001
0070 5bullbull90-003 9822-003 2075-002 3581-002 6037-002 8086-002 9879_002 11middot9-001 1296-001 557-00 0080 0090 0100 0120
5661-003 581middot-003 5913-003 6200-003
1016-002 06-002 1073-002 1120-002
2158-002 2Z32-002 2298-002 2414-002
376-002 3801-002 4022-002 4250-00Z
6362-002 6650-002 6908-002 7358-002
1566-002 1051-001 8993-002 10107-01)19378-002 11 58-001 100S-001 1241-001
1227-001 1297-001 1359-001 1middot469-001
388-001 1 471-001 1 546-001 1676-001
1 677- 00 1 1185-001 1883-001 2middot0SS-001
01middot0 6419-003 1161 002 2512-002 444-002 771-002 1062-001 1322_001 1S63-001 17811-001 2202-001 0160 6623-003 11 98_002 2599-002 bullbull 613-002 8075-002 1111-001 11118_001 l64S-OOl 1886-001 2 331-1101 0180 0200
687-003 7007-003
1232-002 1264_002
2677_002 2748-002
4764-002 bullbull901-002
8371-002 8638-002
115S-001 1195-001
1bullbull46_001 1499_001
10717-001 1782-001
1972-001 2050-001
Zmiddot6-001 2 5bull 9-001
0250 7493-003 13middot1-002 2908-002 S200-002 9212-002 1280-001 1lIll-00l 1922-001 2217-001 2 169-001
0300 A030-003 1417-002 3053-002 5bullbull57-002 9696-002 1351-001 1704 -001 20311-001 2355-001 2 951-001 0350 0400 0bullbull50 0500
8655-003 9396-003 1028-002 1middot114-002
1bullbull99-002 1590-002 1693-002 1812-002
3192-002 3333-002 3480-002 3638-002
5693-002 5916-002 6137-002 6360-002
1012-001 1051-001 1088-001 1123-001
1bullbull12-001 1middot68-001 1519-001 1568-001
1785-001 1851-001 19Z3-001 1985-001
2]37-001 2226-001 2)06-001 2381-001
2bullbull73-001 2571ll-001 2673-001 2761-001
]107-001 ]i5-001 3 369-001 3 483-001
0550 12i8-002 1948_002 3810-002 6S92-002 1158-001 1615-001 2043-001 0451-001 283-001 3588-001 0600 0650 0100 0750
1bullbull04-002 15110-002 1808-012 2122-00Z
2105-002 2291_002 2527_002 2851_002
3999-002 bullbull215_002 bullbullbull79_00Z bullbull828_002
6835-002 7101-002 7411-002 7803-002
119-001 1230-001 1270_001 1318_001
1661-001 1707_001 1756-001 1813_001
2100-00)21S6_001 2H5_001 2280-001
2519-001 21585-001 265]-001 2726-001
2921-001 2998_001 3075-001 3156-001
]688-001 ]8-001 3879-001 3978-001
0800 2576-002 3312-002 531 4-OOZ 8329-002 1379-001 1881-001 2356-001 2Al]-001 329-001 ~O87-001
0850 0900
3238-002 middot19O-OOZ
3981-002 4941-002
6005-002 698amp-002
9058-002 1007-001
1middot59-001 1568-001
1969-001 2085-001
2452-001 257-001
2914-001 3043-001
3359-001 3bullbull96-001
4 212-001 4 363-001
0950 55gt7-002 6285-002 8350-002 11middot7-001 171-001 2238-001 Z734-001 209-00 3669-001 58-001 1000 7351-002 8middot11-002 1020-001 1335-001 1908-001 2 bullbull311-001 2940-001 3 bullbull22-001 3887-001 4 raO-OOl
1100 1288-001 1366-001 1577-001 1898-001 2483-001 302-001 3538_001 4031-001 4507-001 5 4 22-001 1200 1300 1400
218-001 34H-001 5367_001
2246-001 3S61-001 5447_001
2bullbull61-001 3778_001 5667_001
2787-001 4108-001 6001-001
3381-001 bullbull 711-001 6611_001
3933-001 5271-001 717B_001
bullbull 456 0111 5803_001 771 11 _001
bullbull959-001 11315-001 8237-001
5446-001 6810-1101 8739_001
6381-001 762-001 9 106-001
1500 79110 001 8061-001 8282-001 8619-001 9236-001 9809-001 103S+000 108+000 1139000 1middoti37middot000
Page Ilb
TAlK 12 CONTINUED)
IJMOLE-K)
00100 00150 00200 00250 00300 00350 00400 00450 00500 00550 ~ ItO
0000 0000+000 1)000000 0000000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 31500-003 4035_003 4470_003 4844_0n3 5115_003 547_003 5752_003 6009-003 6250_003 6 477-003 0002 69Q9-003 8070_003 8939_00 3 9686_003 1035002 1095_002 11 5deg_002 202-0OZ 1250-002 1295-002 0003 1049_002 1210_002 1341-002 1453_002 1552-002 1642_002 172)_002 1802-002 1875002 1 943002 0004 1399_002 1613_002 1787_002 1937-002 2069_002 219n_002 2 bull 011-002 2403-002 2500-002 2 591-002
0006 ~OQS-002 2418-002 2679-002 2904-002 3103-002 3284-002 3450-007 3middot604-002 3749-002 3R85-OO2 0008 27~7-002 3220-002 3569-002 3869-002 4135-002 4376-002 415911-002 4middot~04-002 4997-002 5 179- 002 0010 3474-002 4018-002 4457-002 4833-002 5166-002 54-002 5745_002 iIiOOl-002 6244-002 amp472-002 0middot012 4154-002 4812-002 5341-002 5794-0n2 6194-002 6557-002 68911-002 7200-002 7490-002 1 4-002 0014 41125-002 0600-002 6221-002 6751-002 7220-002 7644-002 8033-0112 8]95-002 8734-002 ~U54-002
0016 54A4-002 ~382-002 7096_002 7705-n02 8242-002 8728-002 91 74-OO 95811-002 9976-002 1 034- 001 0018 6131-002 7155-002 7965-002 8654-00 9261-002 9809-002 1031 -001 10711-001 1122-001 163-001 0020 6763-002 7918_002 8827_002 9SY7-0n2 1028_001 1089_001 1145_001 11 97-001 1245-001 I Z9 1-001 0025 8272-002 9775_002 1094_001 11 93-001 1279-001 1356-001 1427-001 1492-001 1S53-001 1 611-001 0030 9675-0n2 1155_001 1300-001 1 420-001 1526_001 1620-001 170S-00t 1785-001 1859-001 1928-001
0035 1097-001 1323-001 1497-001 1642-01l1 1767-001 1879-001 1980-001 1074-001 2161-001 2243-001 00 40 121 8-001 14S1-001 1686-001 1855-001 2002-001 2132-001 22511-001 ]59-001 2460-001 2 554-001 0middot045 1middot39-001 1631-001 1866-001 2061-001 2230-001 2379-001 251 4-001 263A-001 2753-001 2 861-001 0050 143-001 1771-001 2038-001 2259-001 2 450-001 2620-001 27Ta-001 2912-001 3042-001 3middot164-001 0060 16O-001 2030-001 2356-001 2630-001 2 867-001 307E1-001 368_001 3441-001 3602-001 3 152-001
0070 1785-001 2261-001 2646-001 2971-001 3255-001 3507-001 373+-001 3943-001 4136-001 4 315-001 0080 192-001 2469_001 2909-001 3285-001 3613-001 3907-001 4173_001 4416-001 46112-001 4852-001 0090 20115_01)1 2659_001 3151-001 3574_001 3946_001 4280-001 4584_001 4863_001 5122_001 5363 001 0100 20185-001 283Z-001 3373-001 384 1-001 4256-001 4630-001 4971-001 5284-001 5576-001 5 848-001 0120 2397-001 3llY-001 3769-001 4322-001 4816-001 5264-001 5 76_001 6057-001 6 412-001 6 146-001
0140 2579-001 3405-001 11115-001 4743-001 5309-001 5827-001 6305-001 749001 7165-001 7557001 0160 2738-001 639-001 44211-001 5117-001 5750-001 6331-001 68711-001 7374-001 7847-001 8 294 - 0010180 2880-001 3848-001 4694-001 5453-001 6146-001 6786-001 782-0111 7 941-001 8461-001 amp967-001 0200 3008-001 4036-001 4941-001 5758-001 6507-001 7201-001 750-001 bullbull 46f)-001 9038-001 586-001 0250 32A2-00l 4441-001 5473-001 6415-001 7286-001 8100-001 8866-001 9591-001 1028+0011 1 094000
0300 35t18-001 4715-001 5915-001 6962-001 7936-001 8852-001 9718-0()l 054middot000 1133+000 1208+000 0350 3702-001 5062-001 6293-001 7430-001 8494_001 9497-001 1045 +000 11 36000 1223+000 1 307+000 0400 3872-0111 5313_001 66211-001 7841-001 8983_001 1006+000 110Y00O 1208+000 1303000 1 394+000 0450 4025-001 5538_001 6920-001 8207-001 9418-001 1057000 1161+000 1272+000 1374+000 1472+000 0500 4164-001 5742_001 7188-001 8538-001 9812-001 1103+000 1219+000 1330+000 1438+000 1542+000
0550 4293-001 5929-001 7433-001 8841-001 1017+000 1144+000 1266+000 1383+000 1496+000 1606000 0600 445-001 6middot104-001 7661-001 9121-001 1051+000 1183+000 1311hOOO 1432+000 1550+000 1665+000 0650 45~0-001 ~269-001 7875-001 9384-001 1082+000 1219+000 13511000 1middot478middot000 1601+000 1120+000 0700 4644-001 ~428-001 8079-001 9633-001 1111+000 1253+000 1389+000 1520+000 1648middot000 1 172+000 0750 47110-001 6586-001 8280-001 9876-001 10140+000 1285middot000 1426+000 561+000 1693middot000 1821+000
0800 48114-001 6750-001 8483-001 1012middot000 1168middot000 137+000 146Z+000 1601000 1137+000 1869000 0850 5024-001 6927-001 8697-001 1037+000 1197+000 1350+000 1498000 141+000 1780+0011 1916+000 0900 5189-001 7127_001 8932-001 1064000 1227000 1384+000 1535+000 1682000 1824+000 1 963+000 0950 5388-0111 7359_001 9196-001 1094+000 1260+000 1420+000 1574+000 1724middot000 1870middot000 2012middot000 1000 56~2-001 7633-001 9502-001 1127+000 1297000 1460+000 11 7+000 770+000 1919+000 2 064000
1100 62Q7-001 8354-001 1028middot000 1211+000 1386middot000 1554+000 171 7+000 1876middot000 2030middot000 2181+000 1200 7275-001 9382-001 1136+000 1323+000 1503+000 1677+00( 1845000 008+00Q 2167+000 2 323000 1300 8674-001 1082+000 1284+000 1476+000 1660+000 1838+000 201lhOoO 2178+000 2341middot000 2 501000 1400 10gt3+000 1282+000 1487middot000 1683+000 1871middot000 2052+000 2228+000 239q+000 2566+000 2 730+000 1500 1330+000 1552middot000 1761+000 1959+000 2150+000 2334+000 21113+000 C687middot000 2857+000 3 024+000
Page 117
TA8LE 12 (CONTINUED)
S (JMOLE-Ilt)
~ 00600 00640 00650 00700 00750 OOAOO 00900 01000 01100 01200
110
0000 0001 0002 0003 0004
00110middot000 6613-003 1339002 2008-002 2677-002
0000middot00(1 6858_003 1372_002 2057_002 273-002
0000middot000 6899_00 3 1380002 207(1-0022759002
0000000 7096-003 1419002 21 29-002 2838_002
0000000 7285-003 1457_002 2185_002 2914002
0000000 7467-003 1493_002 2240_002 2987_002
0000000 781 4-003 163_002 234-002 3125-002
0000000 -139-003 162111-002 2442-002 3255-002
0000middot000 8447-003 1689-002 2534-002 3319 002
0000000 140-003 1r48-002 2622-002 3496002
0006 0008 0010 0012 0014
4015-002 1113152-002 66118-002 1103-002 1307-002
411 4-002 5484-002 6854-002 8222-002 95d9-002
41311-002 5517-002 6894-002 8271-002 9640-002
42S7-002 5675-002 7092-00 2 8508-002 9923-002
4370-002 5826-002 728 1-002 8735-002 1019-001
4480002 5972-002 7464-002 8954-002 1middot0-4-001
481-002 6249002 7AlII-002 9371-002 1093-001
4A83-002 6510-002 81 36-002 0761-002 11 39001
5067-002 6756-002 8444-002 1013-001 10182-001
5243-002 990-002 8 737002 1048-001 1223-001
0016 0018 0020 0025 0030
1069-001 1202-001 1335_001 1665-001 194 001
1095-001 1232_001 1368_001 1707_001 2045_001
1102-001 1239-001 1376_001 1118-001 2057_001
1134-001 1275-001 1416_001 1767-001 2117-001
1164 001 1309001 1 454 001 1 8 15_001 2174-001
1193-001 1 342-001 1490_001 1861_001 2230-001
1249 _001 10--0011560_001 1948_001 233S 001
1301-001 1463-001 1625_001 2030-001 2433-001
1350-001 1519-001 1 687_001 2107-001 2526-001
1397-001 1572-001 146 001 2181-001 Z615-001
0035 0040 0045 0050 0060
2321-001 2644-001 29t3-00l 3278-001 3892-001
2380-001 2712-001 3040-001 3365-001 3999-001
2394-001 2728-001 3059-001 3386-001 4025-001
2465-001 2809-001 31 51-001 3489-001 -1gt2-001
2532-001 2887-001 3139001 3588-001 4272-001
2597-001 middot2961-001 3323-001 3682-001 4388-001
2720-001 3103-001 34U-00I 3861-001 405-001
20135-001 3235-001 3middot632-001 402111-001 411109-001
2944001 3360-001 3773-001 4185-001 5000-001
3047-001 3478-001 )907001 4334-001 I5181-00
0070 0080 0090 0100 0120
4484-001 5049-001 5589middot001 6104-001 1059-001
4612 001 5199_001 5761-001 6298_001 7298_001
4643-001 5236-001 5803-001 6345middot001 7357-001
4794-001 5412-001 6006-001 6575-001 7639-001
4937-001 5580-001 6199-001 6193-001 7908-01
5075001 5741-001 6383-001 7001-001 8166-001
5334_001 6042_001 672901)1 7393_001 850-001
5575001 6323-001 7051-001 7757-001 9100-001
5801-001 6585-001 7351-001 8096-001 9520-001
6015-001 834-001 70635-001 8 416-001 9 916-001
0140 0160 0180 0200 02S0
7927001 8718-001 441-001 1011000 1157middot000
8210-001 90_2-001 9805-001 10UmiddotOOO 1206000
8218001 9121-001 989-001 1061000 1218 000
8613-001 9506-001 1033000 1109000 1276000
8933-001 9814-001 1014000 1155000 1332000
9239-001 10023middot000 1114000 1199000 1386000
9tH5-00l 1089000 11 9(01121283000 149(000
1035000 152000 12600001362000 588000
1085middot000 1210000 10327000 1-36000 16110-000
1133000 1 265000 1389+000 1506-000 1 168000
0300 0350 0400 0450 0500
1281000 1388_000 14A2middot000 1566 000 143000
1337_000 1450000 1551+000 1640000 1721_000
13510000 1466000 1567000 1658000 1741000
14111000 1sectAoI-0001650000 178000 1836000
1483000 1615000 17JhOOO 1835000 1929000
1546000 1686000 1809_000 1919 000 2020000
1 68000 IA22000 1960000 2083000 21 95000
1782000 1952-000 104000 239000 2363000
1891+000 2016000 2241000 2389+000 2524000
1995000 2195middot000 z37J000 2S34000 2679middot000
0550 0600 0650 0700 0750
1712- 000 1771-000 1836000 1892-000 1946000
1795000 1864000 1927000 1987000 2043000
1816000 1885000 1949middot000 2010000 2067000
1917000 1991+000 2060-000 21Z5middot000 21 86000
201 5000 2094middot000 2168middot000 2237000 2303000
2111000 2195000 2274middot000 2347middot000 2417000
2297000 23910000 2479000 2561000 2638000
2475000 2579000 iI~76middot000 2767000 2852000
2647000 2761000 2867000 2966000 3059000
2amp13middot000 2937000 3 051000 3 159000 3260000
0800 0850 0900 0950 1000
1917-000 2048000 2019000 2151000 22116000
2098-000 2151000 2205+000 2260000 2317000
2123000 2177+000 2231middot000 2287-000 2344000
2245-000 2303-000 2361-0110 2419000 2480000
2366000 2 427000 2488+000 2550000 2614000
2483-000 2548000 2613000 2678-000 2745-000
27tl-00O 278bmiddot00o 2A56+000 2927000 3000-000
934000 3013000 3091000 ~16C100o 3247000
3149000 3235+000 3319000 3403middot000 3488middot000
3357 000 345 0000 3541000 3 631000 3 122000
1100 1200 1300 1400 1500
2328000 2475000 2658+000 2890000 3186000
2444000 2594000 2780000 3015_000 3315000
2472000 2624middot000 2811-000 3047_000 3346000
2614000 2770middot000 2961000 3201000 3503_000
2752000 291 4 000 3109000 3352000 3658+000
2889000 3055-000 3255_000 35010000 3810000
31 55 000 3331000 31J39_000 3792_000 4107000
3413000 3599000 3815-000 -07tmiddotOOO 4396+000
366000 3860middot000 40114000 4352000 4678000
3 909000 4114middot000 4347000 4622-000 4953-000
Page 118
TABU 12 (CONTINUED)
S CJMOLE-K)
01300 01400 01500 01600 01800 02000 02250 0241100 02750 03000~ 11lt1
0000 01100-000 0000-000 0000-000 0000-000 0000-000 0000-000 0000-000 0middot000-000 0000-000 0000-000 0001 9020-003 9288_003 9547-003 9797-003 1027-002 1072-002 1126-002 1177-002 1225-002 1212-002 0002 1804-002 18S8_002 1909-002 1959-002 2055_002 2145_002 225Z_002 235~-002 2450_002 2544-002 0003 2706-002 2786_002 2864_002 2939-002 3082-002 3217-002 3378_002 3530-002 3676-002 3816-002 0004 3608_002 3715_002 3819_002 3919_002 4109_002 4290_002 4t03_002 4707-002 4901_002 50811-002
0006 5411-002 572-002 5728-002 5878-01)2 6164-002 6434-002 6755-002 7060-002 7351-002 7 632-002 0008 7214-002 7429-002 7636-002 7836-002 8lin8-002 8579-002 9006-002 412-002 9801-002 1 018-001 0010 901 7-002 92lt6-002 9545-002 9795-002 1027-001 1072-001 1126-001 11 76-001 1225-001 1272-001 0middot012 1middot082-0n1 1middot114-001 1145-001 11 75-001 1232-001 1287-001 1351-001 1412-001 147 0-001 lmiddot526-001 0014 1262-001 1300-001 1336-001 1371-001 1 438-001 1501-001 1576-001 1647-001 1715-001 1 78O-OOt
0016 1442-001 1485-001 1527-001 1567-001 1643-001 1715-001 11101-001 882-001 1960-001 2035-001 0018 162-001 1670-001 111 1-001 1762-001 18U-00I 1929-001 2026_001 2117-001 2205-001 2 289-001 0020 1802-001 1856_001 1908-001 1958-001 2053-001 2143_001 2 2~1)-001 2352-001 2 449_001 2 543-001 0025 2251-001 23I8-001 2383-001 2446-001 2565-001 2678-001 21112-001 2939-001 3061-001 3178-001 0030 2699_001 27~0-001 2858_001 2933-001 3017_001 3213_001 3373 _001 3526-001 3672-001 312-001
0035 3146-001 3241-001 3332-001 34Z0-001 3587-001 3746-001 3934-001 4112001 4282-001 4 446-001 01140 3591 - 001 3700-001 3804-001 3905-001 4091-001 4278-001 4493-001 4697-001 4892-001 5 079- 0n 0045 4035-0111 4157-001 4275-001 4389-001 4605-001 4809-001 5051-0nl 528-001 5501-001 5712-001 0050 4477-001 4613-001 4744-001 4871-001 5112-0111 5339-001 5609-001 5A64-001 6108-001 6 343-001 0middot060 h 33-01l 1 551 8001 5677-0111 58Z9-001 6120-001 6394-001 671 9-001 7026-001 7320-001 7 tl 03-001
0070 6218-001 6413-001 6599_001 6779-001 7120001 7442-001 7822_0111 8182-001 8526-001 8857-001 0080 709-001 7294_001 7509-001 7717-001 8110-001 8481-001 891 8OII 9331-001 9726-001 1 010000 0090 7903-001 8160-00 8405_001 8641-001 9088-001 9508_001 1000000 1047- 000 1092000 1135-000 0100 8719_001 9008_001 9284-001 9549-001 1005000 1052000 1108_000 1160middot000 1210-000 125hOOO 0120 1029000 1065000 1099000 1131+000 1193_000 125000 131 8000 i382middot000 1 443_000 1 501+000
01 40 1177+000 1220middot000 1261-000 1300middot000 1373+000 1442000 1523000 l59A-000 1670-000 1 139000 0160 1317middot000 1367middot000 1414middot000 1460middot000 1546-000 1626middot000 1720-000 1808middot000 1891+000 1971-000 0180 1449+000 1505-000 1560000 1612-000 1710000 1802-000 1909000 2010-000 2105middot000 2196middot000 0200 1572middot000 1636middot000 1697-000 1755-000 186hOOO 1969+000 209000(1 2204middot000 2311-000 2414-000 0250 1852middot000 1932-000 2009000 2083middot000 22Z4000 2356middot000 Zt1 hooo 265middot000 2794-000 2 926-000
0300 2095-000 2190middot000 2283000 2372middot000 2541-000 2700-000 2888000 306-000 3232+000 3392-000 0350 2309-000 2419_000 2 1 525000 2 162811110 2823000 300e-ooo 3221_0110 3433-000 3630-000 3U+000 0400 2500middot000 26Z3_000 2742+000 2857+000 3 1 017000 3286000 3534 _000 ~769-000 3992000 4206middot000 0450 2673000 2808_000 2938000 3065_000 3308_000 l539_000 381 4000 4075+000 4324+000 4 563000 0500 2830000 2976_000 311 7_000 3254+000 3519_000 377hOOO 4071 0110 4356-000 4630_000 1193000
0550 2974+000 3130-000 3281middot000 34Z9middot000 37I3-000 3984+000 4308_000 4jI17-000 4913middot000 5198-000 0600 3101middot000 3middot272+000 3433000 3590+000 3892+000 4182-000 4528000 459-000 5176middot000 15483+000 0650 3231middot000 3405+000 3574middot000 3740000 4060000 4366middot000 4733000 50 084middot000 5422-000 5 749-000 0700 3346+000 3529000 3707-000 3880middot000 4216000 4539middot000 4925000 5296000 5653-000 5999000 0750 3456+000 3middot646-000 3832-000 4013middot000 4364+000 4702-00n 5107000 549j1-000 5871-000 6235-000
0800 360middot000 3757_000 3950middot000 41 39-010 4504000 4856-000 5279+000 586-000 6078middot000 6459000 0850 360-000 3864-000 4064-000 4260+000 4639middot000 5004-000 5444middot000 51116-000 6276-000 _6 612-000 0900 3757000 3968000 4175+000 4377+000 4169000 5147_000 502_000 6041+000 6 465-000 6 877000 0950 3854000 4011000 4283-000 4491-000 4896000 5286+000 5756000 6210+000 6649_000 7 075000 1000 3950-000 173000 4391_000 4605-000 5021_000 5423000 5901000 375000 6828000 7 268_000
1100 414hooo 382middot000 4611-000 4836middot000 5272middot000 5695-000 620S+000 6699-000 7177+000 7 643000 1200 43~2middot000 4606-000 4844-000 5078-000 5534-000 5975000 6508000 702middot000 7526-000 8 01 4-000 1300 4604-000 4855+000 5102-000 5344-000 5816+000 6273middot000 61127middot000 7363-000 7884middot000 13392-000 l400 4886-000 5144-000 5398middot000 5647middot000 6133-000 6604-000 7174+000 772emiddot000 8266middot000 13191-000 1500 5223middot000 548hOOO 5746middot000 6001middot000 6498-000 6980-000 7565-000 81 32000 8684middot000 9223000
Page 119
TABLE 13
THE ENTHALPY AND EXCESS ENTHALPy OF THE TOTAL HE3 - HE4 SOLUTyON
X bull 00001 X bull 00002 X bull 00005 It bull 00010 X bull 00020
T -H HE -H HE -H HE -H Hp -H HE IKI (JMOLE) IJMOLEI IJMOLEI (JMOL1 IJMOLEI IJMOIEI IJMOLpoundI fJMOIEI IJMOLEI IJMOLEI
0000 0001 0002 0003
3905631 3905631 3905631 3905630
-000021 -000021 _000021 -000021
3905261 3905261 3905261 3905261
-000042 -000042 -000042 -000042
3904151 3904151 3904150 3904150
-000104 -000104 _000103 -000103
3902297 39112297 3902296 3902296
000203 -000203 _000 202 _000 202
3898580 3898580 3898579 38 98579
_000392 _000392 000391 _000391
0004 3903610 _000021 3905260 -000042 3904150 _000103 3902296 _0 00202 38 985711 _000390
0006 3905630 -000021 3905260 -0110041 3904149 -000102 3902294 -000200 3898576 _000388 0008 0010 0012 0014
3905630 3905630 3905629 3905629
-000020 -000020 -000020 -000020
3905260 3905259 39 05259 3905258
-00004i -000040 -000040 -000039
3904148 3904147 3904146 3904145
-000101 -000100 -000099 -000098
3911229 39(12291 3902289 39CI2287
-00199 _000197 -000195 _000193
3898574 ~89851l 38 bull98567 3898561+
_000386 _000383 _000l80 000376
0016 3905629 -000019 3905258 -000039 3904143 -000097 3902284 -000191 3898560 _000313 0018 0020
3905629 3905628
-000019 -000019
3905257 3905257
middot000038 -00003$
3904142 3904141
-000095 000094
3902282 3902280
000189 -000186
3898556 3898552
_000369 _000365
0025 3905628 -000018 3905255 -000037 3904138 -000091 3902274 000181 3898541 000355 0030 3905627 -000018 3905254 -0110036 3904135 middot000089 390228 _000115 3898530 _000344
0035 3905627 -000017 3905253 middot000034 3904132 -000086 39022(12 middot000170 38 9851 9 _000333 0040 3905626 middot000011 3905252 -000033 3904129 -000083 3902216 000164 3898507 000323 0045 3905625 middot000016 3905250 -000032 39 04126 middot000080 3902210 -000159 3898495 0middot00312 0050 3905625 -000016 3905249 -000031 3904123 -000077 3902244 000153 3898483 000301 0060 3905623 -000014 3905247 -000029 39 04117 middot000072 3902232 -000142 3898459 _0middot00280
0070 3905622 -000013 3905244 -000027 3904110 -000066 3902220 -000131 3898435 000258 0080 0090
3905621 3905620
-000012 000011
3905242 3905239
-000024 -000022
39 04104 3904098
-000061 _000055
39112207 3902195
_000120 000110
38 98411 38 98387
000237
0002 16 0100 39056 18 -000010 3905237 -0110020 3904092 middot000050 39021A3 -000099 3898362 000195 0120 3905616 -000008 3905231 -000016 3904079 -000039 39112118 000078 3898313 000153
011+0 3905613 -00006 3905226 -000012 3904066 middot000029 3902132 000058 3898263 000113 0160 3905610 middot000n04 39115221 -000001l 3904053 -000019 3902107 000038 1898213 000073 0110 0200 0250
3905606 3905603 3905592
-000002 000000 000005
39 05215 39(15209 3905191
middot000004 000000 000010
3904040 39 04026 39 03990
middot000009 000001 000025
3fh020lH 3902055 3901 988
000018 000002 000050
3898163 38 bull98112 3897983
000034 0middot00005 000101
0300 3905577 000010 3905110 000019 3903951 000049 3901 9 19 000097 38 97850 000196 0350 3905557 00001 4 39115144 000029 3903906 000072 3901841 000 145 3191712 000291 0400 3905529 000019 3905110 000031 3903853 000096 3901157 000191 3897566 000384 0450 0500
3905491 3905441
000024 000028
3905066 3905009
000047 000057
3903790 3903115
000119 000142
3bullbull01664 3bullbull 015i1
000238 000284
3897410 3897242
000416 000568
0550 3905375 000033 39 04938 000066 3903625 0001 64 3901 436 000329 3891058 000659 0600 0650 07BO 01 0
3905291 3905181 3905927 3904 99
000037 000042 000046 000051
3904848 3904731 39 04571 39 04336
000075 000084 000093 000101
3903516 39 03381 39 03202 3902949
000187 000209 000232 000254
390126 3901130 39 09203900636
000374 000419 000463 000507
3896856 3896628 38 bull96356 38 bull96009
000749 000839 000927 0middot01015
0800 3904446 000055 3903978 000110 3902511 000275 3900227 000551 3195539 001102 0850 0900 0950 1000
3903900 3903065 3901826 3900046
000059 000064 000068 000072
3903425 3902584 3901339 3899553
000119 000127 000136 000144
3902000 3901141 3899871 3898073
000297 000318 000339 000360
3899625 3898735 3197441 3895601
000594 000636 000611 000720
3894815 3893923 3192569 3890613
001188 001273 001357 001 440
1100 31942)5 000080 3893710 000160 3892195 000401 31189669 000801 3884611 001603 1200 1300
3184068 3867610
000088 000096
3883551 3867012
000116 000191
3882002 31 65500
000440 000478
39 79418 3162863
0Dn880 000955
3874252 38 57588
001160 001 911
1400 1500
3842097 3804138
000103 000110
38 bull 41559 3803592
000206 000219
3839947 3801954
000514 000548
3837260 37 99224
001 028 001 096
38 31887 3793163
002055 002193
Page 120
TABLE 13 (CONTINUEO
l( bull 00030 X bull 10040 X bull 00050 X bull 0060 )( 00080
T bull lot HE -H HE -H HE -H HF -H HE (K (JMOL) (JMOEI IJMOLE) (JMOLE) (JMOLEI (JMOLE) (lMOE IJMOLE) IJMOLEI tJMOLE)
0000 0001 0002 0003 0004
38948l2 3894852 38948l2 3894851 3894850
-000570 -000570 -000570 _000569 000568
3891116 3891116 3891116 3891115 389 111 4
-0bull 00740 -000740 -000740 -000739 -0007311
38117372 3887372 3887372 3887371 3887370
-000902 -000902 -000902 -000901 -000900
3883622 3883621 31=1 83621 38 83620 3A83619
_001058 -001058 00)05700056 _001055
876101 3876101 3876101 38 76101 38 76099
_001349 _001349 _001349 001 348 _001 347
0006 3894848 -000566 3891112 -000736 3887367 -000898 3883616 -001053 3876096 _001J44 0008 0middot010 0012 0014
3894845 3894841 3894837 38 94832
-000563 -000560 -000556 -000551
3891108 38 91104 3891099 38H093
-000732 -000728 -000724 -010718
3887364 3887359 3887353 3887347
-000A94 -000890 -000884 -000878
31113612 3883607 3A83601 31i83594
-001 049 -001044 -001038 _001032
3876091 3876085 3876079 3876071
001340 -0middot01334 _deg01 328 _001321
0016 3894827 middot000546 3891087 -000712 3887340 -000872 38835A7 001024 3876062 001 312 0018 0020
3894822 3894816
-000541 -000536
3891081 3891074
-010706 -010700
3887332 3887324
-000864 -000857
3A83578 3A83569
-001016 -001008
3876052 38 76041
_001303 0 middot01293
0025 0030
3894801 3894785
-000521 -000507
38 bull91055 38bull91035
-0006112 -000663
38bull 87302 3887279
-000836 middot000814
38 83544 3Abull 1I3517
-000985 -000959
38 76011 3875978
-0middot01265 _0middot01234
0035 3894769 -000491 389101 4 -000644 3887253 -000791 38834118 -000932 3875942 001201 0040 0045 0050 0060
38947~2 3894735 38947 18 3894683
000476
000460 _000444 000413
3890992 38 bull90970 3890948 3890902
-000624 000603 middot000583 000542
3887227 38 87200 3887173 38 8711 6
-000767 _000742 000717 _000666
3883457 3883426 3883394 3883327
000904
000876 _000847 _00(1787
3875904 ~875864 38 75823 38 75737
001166
001130 _001093 _001018
0070 3894647 -000381 3890855 -000500 3887059 -000616 38 tl 3259 -000 727 38 75649 _000940 0080 0090 0100 0120
3894611 3894575 3894538 3894465
-000350 -000318 -000287 -000226
3890807 3890760 38 bull90711 38 bull90614
-000459 middot000418 middot000377 000296
3887000 3886941 38 86881 3886761
-000565 000514 middot0middot00463 -000363
38 tl3190 3883120 38 83049 38 tl2905
-000667 -000607 -000546 -000427
3875559 38 75467 3875374 38 75186
_000862 000783 000705 000548
0140 3894391 middot000166 3890516 middota00216 3886639 middot000263 3882760 -000309 3874995 000392 0160 0180 0200 0250
3894317 3894242 3894167 3893976
middot000106 _000047
000011 000155
3890418 389031 9 389021 9 38 89968
000137 -000059
000019 000210
3886517 3886394 3886270 3885958
middot000165 -000068
000028 000266
3882614 3tl 82467 38 82319 3881946
-000192 000076
000039 000324
3874802 3874607 3874412 38 73918
_000238 000085
000067 000444
0300 3893782 000297 3889712 000399 3885640 000502 3881567 000606 3873418 000819 0350 0400 0450 0500
3893581 31193313 3893156 3892925
000438 000577 000116 000854
3889450 38 bull89180 38 bull88900 3888608
000586 000172 000957 001140
3885317 38bull84985 38 84644 3884289
000736 000968 001198 001427
38~113 3F1 bull807A9 3Abull tl 03A6 3A79970
000886 001165 001 44 1 001 715
38 72911 38 72395 38 bull 71869 38 71330
001191 001561 001928 002Z9J
0550 389Z679 000990 3888300 001321 3883920 001654 3879539 001 9S7 38 70775 002654 0600 0650
3892415 3892125
001125 001259
3887974 38876Z1
0015(11 001680
3883532 3883117
001878 002101
3879089 3A78613
002256 0025Z3
3870202 3869602
003013 003369
0700 0750
3891791 3891382
001392 001523
3887225 3886755
001857 002032
3882659 3882127
002322 002542
3878093 311117499
002789 003051
3868958 38 68241
003722 004072
0800 3890850 001654 3886161 002206 3881471 002758 3876781 003311 3867400 004418 0850 3890114 001783 3885373 002378 38 80622 002973 3875870 003569 38 66366 004761 0900 3889111 001910 38 tl4299 00254A 3879487 003186 3874674 003824 3865047 0middot05101 0950 1000
3887696 3885740
002036 002161
38 bull82822 38 bull80806
00276 002882
3877949 3875872
003395 003603
3873075 3870938
004075 004324
3863326 3861069
005436 005767
1100 3879565 002404 3814512 003206 38 69460 004008 3864407 004810 38 54301 006415 1200 1300
386901115 3852313
002640 002867
386391 8 3847038
003520 003822
3858751 3841763
004401 004718
3853584 3836488
005281 005734
3843Z511 38 25938
007043 007646
1400 3826513 003083 3821139 004111 3815765 005140 31110391 006168 3799642 008Z24 1500 37883n3 003289 3782842 004386 3777381 005483 3771 921 006579 3161000 008772
Page lZ1
TABL~ 13 (CONTINUED)
X bull 00100 I( bull 00150 )( bull 00200 )( bull 0n20 l( bull 00300
T -M HE -H HE -M HE -101 HE -H HE 11(1 IJMOLI) (JMOLEI IJMOLll IJMOLEI IJMOLE) IJMOLEI IJMOLrO IJMOLEI IJMOLEI IJMOLEI
0000 386A5118 -001f18 3849616 -00~2011 3830572 middot002692 31111442 00092 3792236 003416 0001 386851118 001618 3849616 -002206 3830572 -002692 3811441 middot001091 H 92236 003416 0002 0003
3868558 386ASo7
_001611t 001617
38 bull 4961b 38 49615
-00220 -002205
38 30571 3830570
-002691 -002690
3A11441 3811 4 3C1
_00)091 00309 0
]79223J 379i234
003416 _003414
0004 38685136 -001616 849613 middot002204 383069 -002689 3811 438 003088 3792232 0034 13
0006 386852 -001613 middot1849609 -002200 JIt3056 -002685 3811433 -00]084 H 92227 003408 0008 0010
3868547 3868541
middotOOlMIt -001602
]849604 3849596
-002195 -0021111
3830558 3830550
-002679 -002672
38114iJ6 38 11 417
-003078 middot003070
37 bull 92220 3792211
003402
0middot03394 0012 0014
3868534 3868525
001595 -0015ti7
3849588 38 bull 49577
middot002180 -1102171
38 30540 38 30529
middot0middot02664 -002653
3Amiddot11 407 38 113C14
-003061 -003 050
37921 9 3792186
003385 _003373
0016 3868515 middot001578 3849566 -0Cl2160 3830516 middot002642 3A1130 _003038 3792171 _003360 0018 0020 0025
3868504 38611492 3868458
-001568 _001557 001526
3849553 31t49538 384949b
-0U2149 0 02135 -0112098
3830501 3830484 3830437
-002629 _00261 4 002572
3811364 3811346 3111294
003024
003008 _002962
3792153 3792134 3792078
003345 _003329 003280
0030 3868420 0111490 3849448 002054 3830380 002522 311111231 _002908 3792111 0 003222
0035 38611371 -001452 3849393 middot002005 3830316 middot0024b5 3811159 _002845 37 91931 003154 0040 0045
3868332 386112A5
-001411 -001368
38 49334 3849270
-001952 -001895
38302116 3830169
-002403 -002336
3111111179 3~10992
-002175 -00700
3791843 3791746
_00]079 _002996
0050 3868236 -001324 3849203 middot001836 3830088 -002264 3810898 -0026 19 3791642 -002907 0060 3868133 middot001233 849062 -001 712 38 29912 -002113 3AI0694 -002444 3791 4 12 -002713
0070 386806 -001139 3848912 -001582 3829725 -001952 3810472 middot00256 3791161 002501 0080 38679 16 -001044 3848755 -001448 3829527 -001784 3810238 002059 3790892 002278 0090 0100 0120
3867803 3867689 3867457
middot000948 -000852 00065
3848595 3848430 3848093
-001312 -001174 000897
3829322 3829111 3828676
-001612 -001437 -0010
3A0999 31109738 311119211
-0Oi854 middot0Oj645 001 217
379060 3790315 3789701
002044
001804
001308
0140 3867220 -000467 3847748 -000618 3828228 -000721 3A08664 000780 ]71190611 000799 0160 3866981 middot000117 3847398 -000340 3827170 middot000359 311 08103 -000339 3788401 000283 0180 3866740 -000087 3847043 -00001 3827306 000004 3A07533 000104 37 87127 000238 0200 0250
3866498 38658115
000102 000570
3846685 38 45779
000216 000908
3826836 38256113
000367 001275
38116904 3805481
00550 001 669
37 117042 37bull 85295
000163 002086
0300 38652l4 001036 3844860 001598 3824431 002185 303981 002794 3783512 003421 0350 0400 0450
3864636 3863998 3863349
001499 001960 0Ol418
3843931 3842990 3842037
002287 002974 003656
3823205 3821965 3820710
003096 004004 004909
31102462 3A0095 37 99371
003922 000049 0011173
37111103 37 79873 3778023
004763 006106 007447
0500 38626117 002873 3841069 004335 3819439 005809 37 ~n800 007292 3776153 008783
0550 31162009 003324 3840085 005008 3818151 006703 37 96209 008405 37 74262 0010113 0600 0(51) 0700 0750
3861312 38605119 3859823 3858982
003772 004217 004657 005094
3839082 3838052 3836977 3835829
0115678 006342 007000 007654
3816843 38 15507 38 14127 38 12672
00759 1 008474 00 9349 010218
3794597 37 929S7 3791272 37 895J3
009511 0106 10 011 701 012784
3772348 3770406 37 6841 7 376635
011435 012749 014054 015349
01300 3858Gl8 005527 3834558 008301 3811095 011078 3187631 013857 37 64169 016634 0850 0900 0950
3856861 3855419 3853577
005955 006379 006798
3833095 38 31348 3829203
008942 009576 010203
3809327 3807276 3804828
011931 012714 013609
3755C9 37 83204 378 0455
014920 015972 017012
3761 793 37 59136 3756085
017906 019166 020412
1000 3851199 007211 3826524 010822 3801849 014432 3777176 01111040 3752509 021643
10 100 3844194 008021 38 189Z8 012034 3793664 016046 37 68404 020053 3743150 024055 1200 10300
38329 15 38153A8
008804 009559
38070eo 37bull8901
0132011 014337
3781247 37 62644
017608 0019112
3155420 37362110
022003 02388 0
3729600 3709925
026390 028639
1400 1500
3788895 3750079
0010280 010965
37 egt2027 37 22780
0154111 016444
3735165 3695487
020550 0219 17
3708310 36 68202
025675 027381
3681 464 3640927
030 79 1 032836
Page 122
TABlF 13 (CONTINUED)
X bull 00350 X bull 00400 X bull 00450 )( bull 0middotn500 )( bull 0middot05S0
T -H HE middotH HE middotH HE H HE middotH HE (K ~JMOLI) JMOLEI (JMOLE) ~JMOLE) IJMOLEI (JMOLEI (JMOUI IJMOLE (JIoIOLf) I JMOlEI
0000 3772966 -003676 3753637 middot003877 37 3U57 middot004027 37 h8JO 004130 J695360 004190 0001 0002
3772966 3772965
003676
003675 37gt3637 3753636
middot003877 0deg3876
3734257 3734256
004027 -004026
3714829 37 14828
004129 004129
1695360 36 bull95359
004190
004189 0003 0004
377293 3772962
_003674 003672
37 53635 3753633
-003875 -003874
3734254 3734252
-004025 -004023
3714827 37 1482)
-004127 004U6
36 95357 ]69535S
004188
004186
0006 3772956 -003668 37gt3627 middot003869 3734246 -004018 3714818 004121 3695348 _004181 0008 0010 0012 0014
3772948 3772939 3772927 3772913
-003661 -003653 middot003643 003631
375361 9 3753609 3753596 3753581
-003862 -003854 -003843 middot003831
3734238 3734227 3734214 37 34198
-004011 -004002 -003992 -003979
37148O 3714798 3714785 3714768
_004114 -004104 004093 004080
3695339 3695328 3695313 ]695297
_004174 _0middot04164 _004153 0middot04140
0016 3772896 -003617 3753564 n03811 3734180 -003964 37h700 -004065 3695277 _004125 0018 0020
3772878 3772857
-003602 -003584
3753545 3753523
003801 -003783
3734160 3734137
-003948 -003929
37147f 9 37 14705
-004048 -004029
369525S 3695231
004107
004088 0025 0030
3772797 3772725
003533
003472 37gt3460 3753383
003730 -003666
3734071 3733990
-003875 -003808
3714636 3714552
_003973 -0OJ905
369515 3695072
004030 _003960
0035 3772641 -003401 3753294 -003591 3733897 -003731 3714404 _003826 3694cJ70 003879 0040 3772546 -003321 3753193 -003507 3733790 -003643 3714342 -003735 3694853 _003785 0045 0050
3772441 3772326
-003232 -003136
3753080 37 gt2958
-003413 middot003311
3733671 3733541
-003546 -003439
3714217 37h080
-00]633003522
3694722 3694579
_0middot03680 _00356sect
0060 3772075 -002925 3752686 -003086 3733250 middot003200 3713772 -003272 3694256 _003306
0070 3771796 -002693 3752383 -002836 3732924 002935 3713426 002993 3693890 003014 0080 0090 0100 0120
3771496 3771179 3770847 3770150
-002446 -002186 -001917 _001359
n52054 3751704 3751338 3750563
-002568 -002284 -001 98q -001372
3732569 3732190 3731790 3730941
-002647 -002342 002023 001352
3713046 3712638 3712207 37112e8
-002688 _002363 -002021 -00300
3693487 369305J 3692593 3691607
_002693 _002350 _001 988 _001219
0140 37 69420 -000783 3749747 -0U0732 3730043 -000651 3710311 _000543 l69055J _000408 0160 3768665 -000195 3748900 -000076 3729107 000069 37U9290 000240 1689449 000434 01 80 0200 0250
3767892 37 67104 3765089
000401 001002 002524
3748030 3747142 3744863
000 59 1 001266 0029A l
3728143 3727157 3724621
000805 001552 003454
37U823sect 3707103 3704365
001041 001 857 003942
36M306 3687131 3684095
001298 002181 0middot04444
0300 3763027 004065 3742527 004723 3722015 005394 37014q2 006075 3680959 006766 0350 3760932 005617 3740150 006482 3719359 007356 3gt8560 00823M 3677755 009125 0400 0450 0500
3758811 3756667 3754500
007173 008729 010279
3737741 )735305 3732844
008249 010016 011779
3716665 3713940 3711186
009330 011307 013281
31955~4 312572 3~89528
010416 012600 014783
3674500 367120] 3667871
011506 013895 016284
0550 3752311 011824 3730358 013537 3708405 015250 386454 016962 3664505 018671 0600 0650 0700 0750
37 50097 3747853 3745563 3743197
013361 014888 016406 017913
3727846 3725303 3722711 3720044
015286 017027 018756 020474
370sect596 3702754 3699864 3696896
017211 01 9 162 021102 023029
318330 36t0210 31701 36 73704
019132 02 293 023442 025577
36 61107 3657b7c 3654185 3650620
021050 023419 025776 028119
0800 3740709 019408 37172sect4 0 22177 3693805 024941 370364 027697 3646931 030444 0850 3738031 020889 3714274 0 23866 3690525 026837 3666784 029798 3643052 032751 0900 3735072 022356 3711015 025539 3686966 028714 3662926 031 88 0 36 38t96 035036 0950 1000
3731722 3727847
023807 025240
3707366 3703194
0 27194 028828
3683018 3678550
030572 032408
3658680 36 53917
033940 035976
36343sect 3629296
037298 039533
1100 3717903 028048 3692666 0l2033 3667440 036006 3142225 03q96A 3617024 043917 1200 1300
3703789 36fI3S80
030769 033389
3677988 3657246
035137 03812A
3652199 3630925
039494 042853
3126423 360461A
043837 047565
3600662 3578326
0middot48166 052261
1400 10500
3654629 361364
035897 038279
3627806 35 1f6414
0 40989 04370q
3600997 35 59179
046068 049124
35 74204 3531 960
051132 054523
3547426 3504757
056181 059906
Page 123
TA8LE 13 (CONTINUEDI
l( bull 00600 )( bull 00640 )( bull 00650 )( bull 0117(10 )( bull 00750
T (Kl
middotH (JMOL1
tolE (JMOLEI
middot101 (JHOLEI
HE (JMOLEI
middot101 (JMOLEI
HE (JHOLEI
11 (JHOLF1
HI (JMOLEI
104 (JMOLE)
1111 tJMOLEI
0000 0001 0002 0003 0004
]675852 3675852 3675851 3675849 3675847
004212
004212
004211
004i110
004208
]660221 ]660220 36b021 9 3660218 36b0215
middot004205 middot004204 -0042n4 middot004202 -004201
]656310 36 56309 36 56308 3656306 3b 56304
004200 -004199 004199 004197 _004195
36 3671i 36 3675 3636734 3636732 36 36730
004155
004155
004154
004153
004151
HlI7133 ]61713Z 3617131 ]61712 617127
004083
004082
004082 _004080 004078
0006 0008 0010 0012 0014
3675840 3675831 3675819 36758 04 3675787
-004203 -004196 -0041 8 6 -004175 -004161
36deg0208 3660199 1660186 600171 3660154
middot004195 middot004188 middot004178 -0114167 -004153
3656297 365628S 3656275 3656260 36 56242
-004190 -004183 -004173 -004162 -004148
3636723 36$67 13 3636700 3636684 3136666
004146
00138 -004129 -004117 -004103
36 17120 3617109 3617096 3617080 3617061
004073 _004065 _004056 _004044 _0middot04029
0016 0018 0020 0025 0030
3675717 3675744 3675719 3675644 36 75554
-004145 004128 -00410B -004049 003978
3660133 3660110 3660084 ]660008 ]659911
-004137 middot004119 middot004099 -0114040 003967
3656222 3656198 3656172 3656095 3656002
middot004132 00411 4 -004094 middot004034 -0D3901
3636645 3136621 3636594 36 36515 31364 19
-004087 004068 004048 00]987 _00]914
3617040 3617015 36 16i88 36169 06 3616807
004013
003995
003974 _003912 _003837
0035 0040 0045 0050 0060
]675448 ]675327 36751 9 1 ]675042]6747 04
-003894 -003798 -003691 -003572 -003304
3659806 ]6I9682 3659542 3659388 3659 039
-003882 -003784 middot003675 -003554 -003280
3655892 3655767 3655627 3655471 3655120
middot003876 -003778 -003668 -003546 -003270
3636306 3t-36177 3636~]1 3635871 31)55(17
_003826 -003727 00]614 middot00]490 -003207
3616691 36165511 3616409 3616243 3615867
_00]749 _003647 -0middot035]] _0middot03406 -00]U7
0070 0080 0090 0100 0120
]6743i0 3673896 36734~7 ]6 7 2948 36 7 1899
-003000 -002666 002306 001925 -001113
3658641 3658201 1657723 3657214 165611 5
-002967 ~01I2623 -0112251 -001855 -001009
3654719 3654274 3653792 3653217 36 5UM
-002956 -002609 -002234 0011135 _00098 1
3635090 3634626 31341~1 36$35S1 332412
-002884 002525 _002136 -0017c1 _0On 828
3615434 3614953 3614427 3613863 3612637
002785 _0024 16 002014 _001583 000654
0140 0160 01 80 0200 0250
3670772 36695138 36613358 3667093 3663814
-000250 000648 001574 002520 004956
3654932 3653685 3652388 3651051 3647581
middot0001011 0(10834 (101 81)6 002803 005314
36 50970 3649707 3648394 3647040 3643522
-000070 000882 001 866 002875 005479
3631147 36 Z98 10 36 l84 1i 326974 36u~3222
0On129 001133 002173 003242 006011
611307 3609896 360842Z 36 06896 36029 15
000346 001399 002494 00]6210middot06549
0300 0350 0400 0450 0500
36604 19 3656946 36534 14 3649835 3646215
007464 010018 012597 0151 89 011784
3643983 36middot0296 3636544 36 32741 ]628893
008027 010734 013471 016223 018981
3639873 363613] 3632327 3628467 3624563
008169 010 913 013689 016482 019280
3119322 315319 3111240 3117103 3602916
0011878 011 8 11 014781 017172 020171
3598766 3594503 3590155 3585741 3581273
009592 012 109 011172 019059 022258
0550 0600 0650 0700 0750
3642560 3638869 3635139 3631357 3627495
020376 022962 025539 028 102 030651
3625007 36 21083 361711 9 3613101 36 09 002
021737 024488 027229 029957 0 32670
36 206 19 3616638 3612615 3608538 36 04379
022017 024868 027650 030420 033173
31)986115 35 9441 3090099 3085728 3SIJ1275
02171 026767 029753 032727 035685
35767511 3572198 3567593 356292i 3558 182
0middot25459 02Sb57 031 15 47 0middot]5024 038 185
0800 0850 0900 0950 1000
3623508 3619331 361878 36100]9 3604617
033182 035692 038180 0 40643 043071
3604177 3600363 35i5672 3590597 3585010
035364 038037 0 40687 0 43309 0 45903
3600096 3595622 3590872 3585738 3580092
035908 038622 041312 043975 046607
35 76695 3071 925 35b68S0 3obI451 3555512
038624 04 1540 044430 047293 050123
3553307 3548242 1542901 3537179 3530948
041326 04444 047535 050595 053622
10100 1200 1300 1400 1500
35 9 1837 35149 15 355201 3520665 3477572
047851 052480 056941 061212 065271
357698 3554330 3531042 3499269 3455838
050988 0 55920 0 60673 0 65223 0 69549
3566664 3549185 3525792 3493922 3450406
051771 056778 061604 066225 070617
35 4 15 08 35 23472 3499502 3407198 3bullbull c32C9
055674 061059 066249 0 7 1219 075943
3516369 3497716 3473330 3440494 3396133
0middot59561 065322 070875 0 761 93 08149
Page 124
TABLE )3 (CONTINUED
l( bull 00800 X bull 00900 X bull 01000 X 0100 X bull 01200
T -H HE -H HE -101 F -p ME _101 ME (1lt) (JMOLFI JMOlE) (JMOlE (jMOLE IJMOLE IJMOLEI (JMOL (JMOLE IJMOLE IJMOLEI
0000 35 975(14 middot003984 3558178 middot00371R 3518774 middot003374 3479308 002968 3439792 _00~512
0001 0002 0003 000 4
359750 4 35 975 02 35 975nl 35 97498
middot003984 003983 003981 _003980
3558177 3558176 3558174 3558171
middot003717 -0037 17 -003715 -0U3713
3518773 35 18772 3518770 3518767
middot003374 003373 003371 003369
3479307 3479306 3479304 34 79301
002967
002967
002965
002963
34 39792 )43979( ~43978l1 34 39785
002512
002511 _002~10 002508
0006 3597490 middot003974 355EH64 -00370R 3518759 -003364 34 79292 -002957 34 39777 0middot02502 0008 0010 0012 0014
3097480 35 97467 3597450 35 974~1
-003966 -003957 -003944 -003930
3558153 3558139 3558121 35 58101
-003700 -003690 -0113677 -0113663
3518748 3518733 3518715 3518694
-003356 middot003346 -003333 -003318
3479281 3479215 3479247 3479225
middotU02949 -002939 -002926 -0029 11
l43976 )439749 34 39729 3439707
002494 _00lt483 -0middot0~411 002456
0016 35 97409 -003914 3558078 -003646 3518670 -003301 34 79260 002894 34 39681 _deg02438 0018 0020 0025 0030
359 73R3 3597305 35 97272 359 7170
-003895 _003874 _003812 -003736
3558051 3558022 3557934 l557828
-0113627 -003605 -003542 middot003464
3518642 3518611 35 18520 35 18410
-003282 -003260 003195 003116
3479171 3479139 34(9045 3418929
-00(1874 -002852 002787 -002707
3439651 34 396 18 3439520 34 39401
_002418 _0023Y6 _002330 002249
0middot035 3597051 middot003646 3557703 -003372 3518279 -003023 34 78794 -0026 12 34 39260 _002152 0040 35969 14 -003543 3557559 -003267 3518129 -002915 34 786 38 -002502 34390915 _002041 0045 0050 0middot060
3096760 3596590 35 96202
-003426 -003297 -003003
3557398 3557218 3556809
-003147 -003014 middot002709
3517960 3517772 3517343
-002793 -002656 -002344
34 784102 ]47826 34778 18
-00378 -002239 -001 9 19
34389 10 3438713 3438248
-001 9 15 ~001774 _001449
0070 35 917o6 -002663 3556336 -002357 3516845 001980 3477298 _001 546 34 37706 _001067 0080 0090 0100 (l120
3595256 35 947 11 35 9413 3592844
-002284 0011170 001425 -000462
3555804 3555221 3554590 35)3209
-0111960 -001525 -001055 -000030
3516284 3515666 3514995 3513519
-001568 -001115 000623
000458
3476709 34 76059 34 75351 34737A7
-001122 000052 -000141
000988
34 37092 34 36411 34 35669 34 34021
_000633 000150
000378 001552
01 40 3591451 000579 3551696 001088 3511893 001644 347204 002237 3432188 0028~7
0160 3389969 001680 3550078 002277 3510147 002914 34701R6 003582 3430203 004270 01 80 0200 0250
35684]1 35 86808 3582602
002826 004010 007094
35 48376 3546607 3541961
~ 004S14 008198
3508303 3506380 -3501309
0middot04252 005644 0~09313
34 b8206 34 661 35 3460653
005004 00492 010432
34 28 093 3425880 34 20001
005772 0middot07349 ~1l547
0300 3578208 010308 1537088 011745 ]495969 013181 3454858 0146 08 3413762 016021 0350 0400 0450
3573687 3369072 3564385
013608 016960 02031+1
3532060 352691 8 3521688
015401 019125 0 228119
3490444 3484784 3479020
017182 021269 025409
3448846 34+2677 34363116
0lR946 023387 027894
3407273 3400612 3393791
020685 025472 030339
0500 3559637 023738 3516387 026676 3473172 029578 34ii9997 032441 3386869 035257
0550 3554838 02739 35 11025 030472 3467254 033764 3423529 037010 3379855 040204 0600 3549992 030538 3505609 034270 3461274 037955 34169A9 041589 3372762 0middot45165 0650 0700 0750
3545097 3540142 3535101
033930 037309 040672
35(01403494605 3488981
0J8062 0 41843 0 45607
34 55233 3449123 3442920
042143 046320 050482
3410383 341137Q1 33 96923
046167 050738 055293
3365594 3358345 335099)
050131 050090 060035
0800 3529933 044015 340 83227 0+9350 3436584 054622 3390008 059827 3343505 064959 0850 0900
3524573 3518938
047333 050624
3477281 3471060
0 53067 0 56754
3430055 3423250
058735 062816
3382899 33 75514
064332 06e804
33351119 3327857
069854 074713
0950 3512922 053R83 3464460 0 60401 3416068 066859 3367711i3 073236 3319520 079531 1000 3506400 057106 31+57357 0 64020 34 08387 070861 3359496 077622 3310689 084300
1100 3491247 063430 3441059 0 7 1113 3390950 078717 334 0924 086237 329098b 093670 1200 1300 1400 1500
3472100 3447128 34138 10 3369028
069566 075482 081147 086534
3420805 3394785 3360506 3314884
077996 0 84634 0 90992 0 97038
3369593 3342529 3307291 3260833
086343 093699 100747 107449
3318468 3290363 3254171 3206878
094603 102674 1104 08 117764
326743) 323829i1 3201148 3153024
102771 1011554 119971 1279 77
Page 125
TABLE 13 ICONTINUED
lC bull 01300 lC bull 01400 X bull 01500 lC bull 01600 lC bull 01800
T -H HE -H HE -H HE -H HE _H HEIKI IJMOLE IJMOlE IJMOLEI IJMOLE IJMOLE IJMOLEI IJMOLE 1JMOLE I IJMOLEI IJMOLE)
0300 3372687 017413 3331638 018779 3290622 020111 3249642 021 408 3167814 023869 0350 336570 022394 3324222 024067 3282756 02569 32413l~ 3158645 0303070~~860400 3358565 027519 3316572 029524 3274627 03147 3232734 O 3 82 U 49121 0370140450 3351242 032740 3308743 0 35091 3266299 037386 32 t 3912 039624 313933 0439050500 3343192 038021 3300771 0 40731 3257811 043378 32 14914 0415963 3129330 050923
0550 3336238 043341 3292683 0 46417 3249193 049427 3205772 052368 3119154 058027 0600 3328596 048681 3214495 052130 3240466 055509 31bull 96509 05815 3108833 0651900650 3320871 054028 3276218 057856 3231640 061608 1 87138 065284 3098385 0723860700 3313058 059373 l267846 063581 3222712 067711 31middot776~9 071760 3087812 0middot79i990750 3305140 064704 3259363 0 6295 3213668 073804 3168057 078230 3077104 0middot86810 0800 3297079 010014 3250733 074989 3204473 079979 3158299 084681 3066231 094008 0850 3288818 075296 3241902 080654 3195073 085924 314834 091104 3055144 1011780900 3280282 080540 3232793 086281 3185395 091931 31 38090 091488 3043773 1083080950 3271311 085741 3223311 0 91863 3175344 097890 3127473 103823 3032031 115388 1000 3261969 090891 3213340 0 97391 3164807 103794 3iU372 110101 3019808 122406
1100 3241139 101011 3191388 108256 3141738 115402 3092188 122446 29 9340 1036214 1200 3216498 110843 31065660 118816 3114925 126686 30middot64296 134451 2963367 1middot496501300 3186321 120334 3134452 129012 3082690 137583 30310]6 146047 2928067 162633 1middot400 3149228 h29431 3095413 1 38787 3042708 148032 2990114 1057166 28 85274 1 7508710500 3099275 138086 30 45634 1 48086 2992106 157974 2938691 167749 2832218 186942
TABLE 13 ICONTINUED)
lC bull 02000 lC bull 02250 lC bull 02500 lC bull 0~750 lC bull 03000 HET -H -H HE -H HE -H HE -H HE
11( IJMOLE IJMOLEI IJMOLEI IJMOLEI 1JMOLE 1 IJMOLEI 1JMOLE I IJMOU IJMOLE IJMOLE 0300 3086192 026125 2984509 028600 2883270 030630 2182540 032152 2682380 033103 0350 3076190 033094 2973502 036195 28 71296 038815 2169633 040893 2668572 0423680400 3065773 040385 2962000 0 44185 2858742 047469 2156058 050180 2654004 052260 0450 31550~7 LIl 2950113 0 52455 2845736 056461 27 41960 059864 2638842 062610 0500 3044049 055579 29 37921 060926 2832369 165698 2727446 069141 2623204 013302
0550 3032858 063364 2925485 069539 2818712 075113 271252 080034 2607178 084249 0600 3021496 071225 2912844 0 78251 2804815 084653 2697460 090382 25908~9 095385 0650 3009986 0 79 135 2900025 0 87031 2790710 094283 26 82088 100140 2574210 106655 0700 2998333 087069 2887042 095851 2776415 103968 26 66500 111372 2557346 1middot180170750 29amp6531 095011 28bull 73890 104688 2761931 113682 26 50701 121947 2540247 129436
0800 297455 102942 2860548 113521 2747241 123401 2634678 132537 2522906 140881 0850 2962356 110849 2846974 122334 2732307 1033105 2618399 143117 2505295 15232 0900 2949870 118716 2833107 1 3110 2717072 142173 26018 10 153665 2487366 163740 0950 2937011 126531 2818865 139830 2701460 152388 2584841 164161 2469051 175105 1000 2923675 134281 2804149 148484 2685377 1061933 25 67402 174585 2450267 186397
1100 2895075 149537 2772820 165529 2651340 180745 25306T9 195143 2410878 208680 1200 2862897 164390 2737991 10 82134 2613880 199083 24 90606 215195 U 6821g 230428 1middot300 2825511 1078747 2698147 198194 2571536 216828 24 45718 234608 32091 251493 1400 27 80917 192525 2651182 213611 25 22276 233868 23 94238 253257 2267110 271736 1500 2126237 205643 2594485 228294 24 63577 250102 2333551 271027 2204447 2 91030
Page 126
TABLE 14
THE VAPOR PRESSURE 0 HE3 - HE4 50LUTrON~
P (TORR)
~ 00001 00002 00005 0middot0010 00020 00030 00040 10010 00060 00080
110
0300 2102-006 4204_006 1051-001 2101-005 4200-005 6295-005 8386_005 1047-004 1251-004 1670-004 0320 0340 0360 0380
3962-006 6961_006 1153-005 1817-005
7923-006 1392_005 2304_00S 3630-005
198a-005 347 _005 5718_005 9068_005
3919-005 6952_005 1151-004 1812-004
7910-005 1389_004 2298004 3617_004
1185-004 2080_004 3442_004 5417_004
1H9_004 2770_004 4~82004 7209-004
1971-004 3457_004 I717-004 1I991-004
2362-004 4143_004 6849_004 1077-00l
3140-004 s505-004 9099-004 1 431-003
0400 2746-005 5482-005 1369-004 2734-004 5457-004 8170-004 1087-003 t 356-003 10624-003 2156-003 0420 4007-005 7988-005 1992-004 3978-004 7937-004 1188-003 1581-003 1972-003 2361-003 3middot134-003 0440 0460 0480
5680-005 7865-005 l070-0il4
1middotU9-OO4 1555-004 2098-004
2810-004 3860-004 5180-004
56g8-004 76 4-004 1031-003
10 119-003 1534-003 2053-003
1614-003 2294-003 3070-003
2227-003 3052-003 4082-003
2middot777-003 3805-003 5090-003
3325-003 4555-003 092-003
4413-003 044-003 082-003
0500 1437-004 2783-004 681 8-004 1353-003 2691-003 4022-003 5347-003 6665-003 7976-003 1058-002 0520 0540 0560 0580
1916-0Q4 2550-004 3403_004 4569_004
3645_004 4734_004 6120_004 7903_004
8829_004 1128_003 1426_003 1789_003
1745-003 2217_003 2781-003 3451-003
3463_003 4386_003 5479_003 6761-003
5173-003 6545_003 8163_003 1005-002
687middot_003 8I9Z_003 1083_002 1333_002
8566-003 1083_002 149_002 1659-002
1025_002 1295_002 1613_002 1983-002
1359-002 1717_002 lU7-002 2 626-002
0600 6182-004 toZ2-003 2233-003 4247-003 8258-003 1225-002 122-002 2016-002 2409-002 3188-002 0620 0640
8434-004 1159-003
1328-003 1733-003
2779-003 3454-003
51 92-003 63U-003
9998-003 1202-002
1478-002 1769-002
1953-002 2333-002
2middot42middot002 J 1I94002
2897-002 3451-002
830-002 4558-002
0660 0680
1599-003 2211-003
2274-003 2middot998-003
4297-003 5356-003
7662-003 9277-003
1436-002 1709-002
2103-002 2485-002
2765-002 3258-002
3425-002 4026-002
4080-002 4789-002
5380-002 305-002
0700 304-003 3964-003 6691-003 1123-002 2026-002 2924-002 31117-002 4705-002 5588-002 1340-002 0720 0740 0760 0780
4205-003 5759middot003 7832-003 1057_002
5250-003 6951003 9183_003 t209_002
8381003 1052-002 1323_002 1665_002
1359-002 1646-002 1997-002 2425-002
2396_002 2829-002 3337_002 3936_002
3427-002 4005-002 4671_002 5439_002
4452_011 2 51 74_002 5996_002 6934_002
5472-002 6331-002 7315-002 8420-002
6486-002 7494-002 8626_002 9898_002
8 497-002 188-002 1 123- 00110 283-001
0800 143-002 1584-002 2096-002 2947-002 4642-002 6328-002 8004-002 9671-002 1133-001 1462-001 0820 0840 0860 0880
1813-002 2459-002 3199-002 4125-002
2063-002 2671-002 3434-002 4383-002
2U5-0OZ 3306-002 4136-002 5157-002
3585-002 4361-002 5304-002 6443-002
5477-002 6 463-00ii 7629-002 9005-002
7358-002 8553-002 9941-002 1middot155-001
9228-002 10063-001 1224-001 1409-001
1109-001 1270-001 1453-001 1661-001
1294-001 1 475-001 1680-001 1 911-001
1661-001 1883-001 2middotUI-001 2 4011-001
0900 I271-002 5554_002 6404-002 7816-002 1063-001 1343-001 1121_001 189-001 2172-001 2118-001 0920 0940 0960 0980
6677-002 8390-002 1046-001 1294_001
6988_002 8729middot002 1083_001 10334_001
7917-002 9742-002 1193-001 1453_001
9462-002 1143-001 1376-001 1652-001
1254-001 1478-001 1741-001 2047-001
1560-001 1812-001 2103-001 2440_001
186middot-001 21 4-001 2464-001 2831-001
216middot001 2474-001 2823-001 3220-001
2468-001 2802-001 3180-001 3607-001
3065-001 3 453-001 887-001 4374-001
1000 19-001 1632-001 1761-001 1976-001 2403-001 228-001 3251-001 2671-001 4089-001 4 919-001 1050 1100
2579-001 4028-001
2631-001 4089-001
2786-001 4273-001
3044-001 4578-001
3557-001 5186-001
4067-001 5790-001
4575-001 6392-011
5080-001 6990-001
5583-001 7585-001
579-001 8 166-001
1150 10200
6081-001 8907-001
6153-001 8990-001
6367-001 9U-001
6724-001 9650-001
7435-001 1047middot000
8142-001 1129middot000
8845-001 1210middot000
9545-001 10 291000
1024middot000 1312middot000
1162middot000 1 532000
1300 1768middot000 1779000 1811middot000 1865000 1971middot000 2077middot000 213000 2288middot000 2393middot000 2601000 1400 1500
3220+000 5468+000
3234middot000 5485000
3274middot000 5534+000
3341000 5616+000
3475+000 5779000
3608+000 5942000
3741+000 610middot000
3813+000 6265middot000
4005middot000 6 426000
4266middot000 47000
Page 127
TAeL[ 14 (CONTtNU[OI
p ITORRI
00100 o0150 00200 00250 00300 00350 00400 004S0 00500 00550 ~
110
0300 2082-004 3100-004 4096-004 5069-004 6015-004 6933-004 182Z-004 11681-004 9510-004 1031-003 0320 3913-004 5819_004 1682-004 9499-004 1126-003 1298-003 1463_003 1624-003 1718-003 1921-003 0340 6858_004 1019_003 1344_003 1661_003 1969_003 2261_003 2556 003 183S-003 3104_003 363-003 0360 1133-003 1682_003 2218_003 21~9-003 3245_003 3136_003 4211_003 4669_003 5112_003 5538-003 0380 1181_003 2643_003 3483_003 4299_003 5093_003 5861_003 6605_003 1324_003 A017_003 e 68S_001
0400 2684-003 3980-003 5243-003 6471-003 1662-003 8811-003 9935_003 1101-002 1206-002 )306-002 0420 3900-003 S180-003 761Z-003 9392-003 1112-002 1279-002 144Z-002 598-1)02 1150-00Z ]895-002 0440 5490-003 8135-003 1071-002 1321-002 1564-002 1199-002 2021-002 2247-002 260-002 2 666-002 0460 1518-003 10114-002 1466-002 1808-002 2140-002 2462-001 27H-002 3015-002 3367-002 648-002 0480 1005-002 1489-002 1959-0OZ 2416-002 2859-002 3289-001 3706-002 4109-002 4499-002 4875-002
0500 1315-002 1948_002 2562-00Z 3160-002 3739-002 4302-002 4141_002 50314-002 5885-002 6378-002 0520 1690-002 2501-002 3289_002 4056-002 4800-002 5522-002 6222_002 tIe99-002 7555-002 8189-002 0540 2134_002 3158_002 4153_00 2 51Z0-002 6059_002 6970_002 185middot_002 8710-002 9538_002 1 034-001 0560 2656-002 3928_002 5165_002 6367-002 1535-002 8668-002 9767_002 1083-001 1186-001 lch-OOI 0580 3261-002 4821_002 6338-002 1812-002 9245_002 1063-001 11 98_001 1329-001 1456_001 1 519-001
0600 3958-002 5847_002 7685-002 9471-002 1121-001 1289-001 1 53-001 1611-001 1765-001 )914-001 0620 4152-002 7016-002 9217-002 1136-001 1344-001 1546-001 1142-001 1931-001 2117-001 ZZ96-001 0640 5653-002 8middot331-002 1095-001 1349-001 1595-001 1835-001 2068-001 2294-001 2513-001 2 726-001 0660 66o6-002 98Z1-002 1289-001 1587-001 1871-001 2159-001 2433-001 2~99001 2 957-001 3 208-001 0680 7803-002 1148-001 1505-001 1853-001 2191-001 2~20-001 2114(-001 3150-001 3451-001 3144-001
0700 9073-002 1332_001 1146-001 21 48-001 2539-001 2920-001 3290-001 3649 001 3998-001 4337-001 0720 1049-001 1537_001 2011-001 2473-001 2923-001 3360-001 3785_001 41 99-001 4600-001 990-001 074 0 1206_001 1762_001 2304-001 2831-001 3344_001 3843_001 4328_001 4800-001 5259-001 5 705-001 0760 1380-001 2011-001 2625_001 3223-001 3805-001 4371-001 492Z-001 5451-001 5979-001 6 86-001 0780 1573-001 2284_001 2977_001 3651-001 4307_001 4946_001 51368_001 61 73 001 6762-001 7335-001
0800 1787-001 2585-001 3362-001 4111-001 4855-001 5572-001 6270-001 tI 950-00l 7612-001 8 255-001 0820 2024-001 2914-001 3782-001 46Z6-001 5449-001 6250-001 7030-001 7190-001 8530-001 9Z50-00l 0840 2286-001 3276-001 4240-001 51 78-0111 6093-001 6 984-001 7852-001 86911-001 9521-001 1032-000 0860 2577-001 ]612-001 4139-001 5178-001 6790-001 7717-001 8739-00 9~16-001 1059-000 1middot148-000 0880 2900-001 4107-001 528Z-001 64C8-001 7545-001 8633-001 9694-001 1073-000 1114-000 1 272000
0900 3258-001 4583-001 5874-001 71 33-001 8360-001 9556 001 1012000 186000 12970000 1405000 0920 3656-001 5105_001 651 9-001 1896-001 9240-001 1055000 118l000 1307middot000 1 4290000 1 547000 0940 4097-001 5619_001 7220-001 8123_001 1019000 116200(1 130Z000 14311000 1570000 1100000 0960 4588 001 308_001 7984_001 9619-001 11210000 1217000 1429000 1571000 1122000 ]863000 0980 5133-001 6998_001 881 6-001 10590000 1232000 14010000 11566000 727middot000 1884-000 2 037000
1000 5739-001 7155-001 9721-001 1164000 1351000 1534000 1112000 1887middot000 2051middot000 2 223000 1050 1566-001 9990-001 1235middot000 1466middot000 1692000 1912000 2121000 2middot33middot000 2543middot000 2143000 1100 9935-001 1281000 1561+000 1835middot000 2103000 2365-000 2620000 2810middot000 3115000 3354-000 1150 1299-000 1635middot000 19640000 228Smiddot000 2599middot000 2906middot000 3206000 3500middot000 3787middot000 4 068000 1200 1690middot000 2079000 Z460middot000 2832000 3196000 3552middot000 3900000 4242-000 4576middot000 4 902000
1300 2801 000 331 4000 3810middot800 4295000 47nmiddot00O 5237middot000 5o93middot000 6140000 6578middot000 1008000 1400 4526middot000 5165000 5791000 6404-000 7006-000 7596middot000 8175000 8743middot000 9300000 9846000 1500 7064middot000 7848middot000 8618-000 9373middot000 1011middot001 1084001 11560001 1226middot001 1295middot001 1middot36Zmiddot001
Page 128
TABLE 14 ICONTINUED
P ITORR
00600 00640 00650 00700 00750 00800 00900 01000 01100 01200 ~ 00
0300 1107middot003 10166003 1181middot003 1251003 1318middot00l 1382-003 1tSOOmiddotOOl 606middot00l 1700middot003 1 183-003 0320 2069003 211900l 2206003 2337middot003 2 46200l 2582_00l 2804_003 3003003 3182003 33l9003 0340 3611003 3803_00l 3850003 4079003 4298_003 4507003 4896_003 5241-003 556100l 1841-00l 0360 5948 003 6264003 6341003 6718003 7080_003 7425_003 8069003 8652003 917600 3 9 644003 0380 93~8_003 9824_003 9946_00 3 1054002 1111-002 1165_002 1267002 1359-002 1442_002 i 517-002
0400 1403-002 10418-002 1496-00Z 1586002 1 1171-002 1153-002 1907002 2047002 2 174-00Z 2 288-002 0420 2036-002 215middot002 2171-002 2301-002 2426middot002 2546-002 2770middot002 l975-002 3161-002 329-002 0440 2864-002 301 7002 3054-002 323a-002 3414-002 3583002 3901-002 41 9Z-002 457middot002 bullbull696-002 0460 3920-002 4130middot002 4181-002 4433-002 4675-002 4908-002 5346-002 5747-002 6114middot00Z amp447-002 0middot480 52~8-002 5520-002 5589-002 5926-002 6251-002 6564-002 71 52-002 769]-002 8189-00c 8 640-002
0500 6854middot002 7223middot002 731 4-002 7757-002 8183-002 8594-002 9369_002 OOA-OOI 1074-001 1 134-001 0520 8802002 9277002 9393-002 9964-002 1051-001 1104_001 1205-001 1297-001 1382-001 1460-001 0540 10 112middot001 J 172-001 1186-001 1259-001 1328-001 1396-001 1523middot001 ~640-001 1749001 1848- 001 0560 13113-001 458_001 1bullbull76001 1566-001 1654_001 1738_001 1891_001 044001 2180-001 2306-001 0580 1697-001 J 790-001 1812-001 1923-001 2031-001 2134-001 2331-0b1 2513-001 2682-001 2837-001
0600 20-8-001 21 70-001 2198-001 2333-001 2464-001 2590-001 2829_001 3052-001 3258-001 ]449-001 0620 2469-001 2604-001 2637-001 2799-001 2 956-001 3108-001 3397_001 3666-001 3915-001 4147-001 0640 29~2-00l 3092-001 3132-001 3325-001 3512-001 3693-001 4038-001 4359-001 4658-001 4 935-001 0660 3451-001 640-001 3686-001 3914-001 4135-001 4349-001 4756-001 5137-001 5491-001 5821-001 0680 4028-001 4249-001 4303-001 4570-001 4829-001 5079-001 51556-001 600]-001 6419-001 6 807-001
0700 4666-001 4923-001 bullbull 986-001 5295-001 5596-001 5887-001 6442-001 6962-001 7448-001 901-001 0720 5369-001 5664_001 5737-001 6094-001 6440-001 6776-001 741 1001 8018-001 8581-001 9 106-001 0740 6139_001 6476_001 6560-001 6968-001 7365-001 7750_001 8485_001 ~175-001 9822-001 1043 bull000 0760 6979_001 7363_001 7457_001 7922-001 8374_001 8812_001 9650_001 1044000 1118000 101870000 0780 7892-001 8326_001 8433_001 8959-001 9471_001 9967_001 10920000 101 810000 12650000 13440000
0800 88A2-001 9310-001 9491-001 10080000 10660000 11220000 12290 000 13300000 14250000 15140 000 0820 9951-001 10500000 10630000 11 300000 1194000 12570000 13770000 14900000 15970000 1697middot000 0840 10 11 00000 1171 0000 1186middot000 12600000 13320000 14020000 15360000 16630000 17820000 18950000 0860 1234middot000 13020000 13190000 1401middot000 14810000 15580000 17080000 1middota49deg000 19820000 2100000 0880 1030000 14420000 1461 0000 1551 0000 16400000 17260000 1891+000 2040000 21950000 23340000
0900 11510 0000 5930000 16130000 17130000 18100000 19050000 20870 000 2600000 24230000 25770000 0920 16630000 J753middot000 17760 000 1885middot000 1 9920000 20960000 22970000 24810000 26660000 28360000 0940 18260000 19250000 19490000 20690000 21870000 23010000 25200000 272~0000 29250000 31120000 0960 2001+000 21080000 21350000 22660000 23940000 25180000 2 bull 580000 29850000 32010000 3~OoOOO 0980 21870000 2304 0000 2333 0000 24750000 2614 0000 27490000 30U000 32A o OOO 3~9000 31170000
1000 2385000 2512+000 25430000 2698000 2848 0000 2990000 3279000 548000 38040000 40470000 1050 29390000 3093000 31310000 33180000 35010000 36790000 40230000 43510000 46630000 4 9590000 1100 31)87000 3771 0000 38160000 40390000 42510000 4471 0000 488~0000 52750000 I6500000 60070000 1150 43430000 45590000 4612000 4850000 51330000 53840000 5871 0000 336deg000 6780 0000 72040000 1200 5222000 54140000 55360000 58~2deg000 61420000 6436middot000 1005000 75490000 80690000 85660000
1300 74t90000 77600000 7842+000 8246000 86420000 90310000 97840000 10l1deg001 11200001 11860001 1~00 10380001 10800001 10910001 11 420001 11930001 12430001 13390001 14320001 15210001 16070001 1500 14~90001 1481001 1494001 1580001 16210001 16830001 1804 0001 9200001 2031+001 21390001
Page 129
tOO+8pound tOO+6ZtE tOO+Z61t 1000StOpound lOO+SSSZ lOO+tOZ toO+6ZS2 100middott2 100middotZEZ lUOZYZZ 005 I 10000pound9i tOO+6poundSZ tOOmiddotti tOOpoundIpoundZ 100SLlZ tOOotSOZ toO9t6 1 100middotS1 1009 ( 1006891 00 1 100096 1OO+6St 1000Jnt toOSZ I 1000tZ91 tOOSZSol 1000Z1 10069pound1 100Upound lOOoOSZt OOtI
1000Z 100pound1 100Wtpound1 1000poundSZt 1001111 100Ottl 100poundpound01 000Z6deg6 000pound66 000006 OOZI 100pound611 100SSt1 1006011 toOSSOt 000+poundZ66 000pound6 OOOSOS OOOoIlStS 000Z66 0000SU9 OStl OOOopoundHO 0006096 000+0Z6 000096S 0000S2S OOOotos 00099Z 000+S69 000699 000+9pound9 OOtt 000 at 000Z06deg OOOoWoy OOOmiddotziZ 000middotOU9 00009 000000 00019S OOOSOSS OUOot1ZS OSOt 00064]deg 000019 000_01l14 000+6611S 000+pound9SS 000-6ZS 00006S 000+00 00006 OOOoLZ OOOt
000-pound09 OOOOLliS 00099 00060 S OOOoOts OOOolllS 00006 000091pound OOOmiddotUt 000SZ6pound 01160 OOO-LOSS 000-19poundS OOoyt 000-L6 000-04 0001 h OOO-Stt 000-poundS6pound 000-19E ouO-S6Spound 0960 OOomiddotttoS OOOmiddotZSs OOOoLt OOOozt 0000Z9Z OOOoZO 0006Spound 000119pound OOOmiddotSs~ 000s8Zpound 0iJ060 00095 0000poundpound 00009I1Z OOO-lOl OOOIILIipound 000 0999degpound OOO+npound 00006Zpound OOO+hl Ii 000-966Z 0260 000_ tt1 0000 ltO OOO_ZSIIpound OOO-slLpound OOO-Uipound ooooapoundpound 000_1101pound 000-1I116Z 000-6SSZ OOO-zeZ 0060
OOO-poundOipound 000-19pound OOO-poundOSpound 000-5poundpound 000-6Llpound 000-600pound OOOopoundlSZ OOOoOZ 00006SS2 OOOoSZ 09S0 OOO-Zpoundpound OOOoOSZpound OOOoO~Ipound OOOopoundZOpound 000-9SZ OOO-ZtLZ OOOLpoundSZ OOO-OZ 00009poundpoundZ OOOSZZZ 09S0 000_U6Z 000middot1I06Z OOOotZioZ OOO-oUZ OOOmiddotOLSZ OOO-SpoundZ 00006lZZ 000-Z61Z OOOOOPZ OOO+OOOZ oeo 000_S9Z 000middott6SZ 0009tSZ 000061Z OOOhzZ OOO-UtZ 00006pound0Z 000-Z96t OOOOSS[ OOOotOL1 OZSO OOOopoundpoundZ 00001l6ZZ OOOopoundZZ OUOolstz OOOoZOZ 0000Spound61 OOOUSl 00006L1 000+9L9 000L6t OOSO
000-S90Z OOOoLZOZ OOOoELfIt 000degto6t 000-80St OOOmiddotLtL 0000019t 000-lSS OOOdegLa ( OOOmiddotst1 OSLO OOOottSt OOO-OSLl 0000poundL1 OOOmiddotZLIj 000Z6St 0000pound14]1 OOOmiddotlZl 000S9pound1 OOO-ZIpound OOOzszt 09L0 OOO-SLS1 OOO-poundSSl OOO-SHiL 000-pound91 000middot6pound 1 00009Zpound1 000-9Z1 00010Z1 OOO+ZSI 000-6601 hLO OOO-Lpound OOO-Lpoundl OOO+SIpound1 OOO-ZLZl OOOmiddotIZt 0009St1 000-9801 OOOmiddotLOl OOOSOO 100-90S6 OUO 0009Llt 00000911 OOOoSpound1 1 0000S601 000601 00000001 100-116 tOO-LLO6 100-18 100-poundZpoundS OOLO
000_00 100-SI66 tOO-middotlLo 100-16 100-LOO6 100-pound6SS 100-60S 100-0111L lOO-ZOSL tOO-SlItL OS90 tOO-EOS 100-Z11I tOO_lSZ 100-S00S 100-tL9L tOO-LZpoundL 100-S009 100-6999 100-60 100-9Z19 0990 100_11pound1 100-pound0 100_e69 100-ESL9 100-1lL9 100-619 lOO-9SS 100-L9S 100-6Z tOO_Z61S 09 0 too-Spound~S 100-16SS tOO-S6Le l OO-lIjS 100-0ZS t OO-S~il1degS 100-Z06 100-LtLdeg tOO-LSS 100-01pound OZ9deg0 tOO-poundS9 tOO-SSllo 100-middotSL 100-9 100-8S 100-tOpound tOO-690 100-t6pound 100-9f1L( 100-S~9pound 0090
100-1L6pound tOO-5S6t 100-06pound 100-poundlSpound 100-iL9pound tOO-LlSpound 100-0tOpound 100-IpoundZmiddotpound tOO-ztt ~ 100-OiltgtZ Oaso 100-681pound 100-Z91degpound 100-9t li toO-LOpound lOO-ZL6Z 100-9SSZ tOO-aOLoZ 100-t29Z tOO-zSZ 100-1oZ 0950 100-ZSi 100-ZSZ too-Los 100-tOZ tOO-tLtOZ 100-lI1ZZ 100-991degZ 100-8602 tOO-poundZOZ tOO-O~middott OirSO 100-L96deg 1 100-U61 tOO-LS6 1 too-~Z~o 1 100-Z9S1 tOO-6Lol lOO-90tt 100-S91 100-S6So 100-1(S1 OZSO [OO-OSl 100-E1Sol 100-iOi L [OO-n t 100-8pounddeg1 100-88poundt tOO-Zzpoundt toO-Z8Zmiddot1 100-UZt tOO-Silll OOSO
100-tEtdegl tOO-6pound1 t 100-11pound 1ot tOo-Oinot 100-0601 100-ESO1 tOO-SOool ZOO-tSL6 ZOO-6U6 ZOO-OiO6 OQOZOO-60ti 200-IIpoundoS ZOO-ZapoundoS ZOO-eeZs ZOo-zsOs ZOO-SZSL ZOO-SLL ZOO-09ZL ZOO-610 ZOO-S9 090 ZOO-poundS6degmiddot ZOO-ZOmiddot9 ZOO-iltOq ZOO-SS6S ZOO-OSSS ZOO-gOs ZOO-6lS lOO-eLlS 200-90tS ZOO-poundt6deg 00 ZOO-Imiddotmiddot ZOO-tOZ ZOO-Opounde ilOO-OZ ZOO-OZ1 ZOO-poundOO ZOO-LpoundSpound ZOO-Ettt lOO-SI9 ZOO-Owpound OZO ZOO-96LZ ZOO-SZ ZOO-OLez ZOO-098degZ ZOO-UsoZ ZOO-LHZ ZOO-Sl9Z ZOO-65SZ ZOO-OSoZ ZOO-Otltz 00deg0
ZOO-US1 ZOO-SSol ZOO-LiIl ZOO-USl ZOO-osst ZOO-SOSI ZOO-9poundL t ~00-tf9I ZOO_Z901 ZOO-poundilS1 OaEO ZOO-ltl ZOO-6S11 ZOO-LL I L ZOO-OSIl ZOO-L9tt ZOO-1lmiddot 1 zOO-OOldegl ZOO-(LO1 ZOO-ZtOO ZOO-90001 09pound0 EOO-pound69 EOO-6I1S9 poundOO-OZOL pound00-90L pound00-1I00
0 L EOO-US9 pound00-09 poundOO-n EOO-I0t pound00-110 0pounddeg0
pound00-poundpound1 pound00-6SSpound EOO-~~r (00-066pound EOO-ZL6t pound00-06pound EOO-leLpound poundOO-L69E pound00-96S( poundOO-Upound OlpoundoO pound00-16 pound00-9102 poundOO-ZLO~ EOO-[OZ poundOO-Z01Z tOO-ZLOZ EOO-110Z pound00-6961 pound00-Lt6deg1 pound00-S58I OOEO
000pound0 OSLZO OOSZO IISZZoU OOOzmiddotO OOelO 00910 OOSlO 0010 00pound10 ~
U1~Ol1 cI
(QiON1INO) t i1BYI
TABLE 15
THE HE3 CONCENTRATION TN THE VAPOR ABOVE HE3 - HE4 SOLUTIONS
XV
00001 0On02 00005 00010 00020 00030 0004 0 0005 0 00060 00080
C1()
0300 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0320 0340
09999 09998
10000 09999
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000ioooo
10000 10000
0360 09995 09997 09999 09999 10000 10000 10000 10000 10000 10000 0380 099 87 0 9993 09997 1)9999 09999 10000 10000 100 00 10000 10000
0400 09970 09985 09994 09997 09998 09999 09999 09999 09999 10000 0420 0440
0middot993g 098 79
09969 09lt139
09998 099 76
09994 u9988
0middot9997 0middot9994
09998 09996
09998 09997
09999 0999 7
09999 0 9998
09999 09998
0460 09711 09881 09955 09977 09989 09992 09994 09995 0 9996 09997 0middot480 0 96 20 0 9A O 09921 0 9960 0 9980 09987 0 999 0 0 9992 09993 0 9995
0500 09377 09678 098l-1i1 09934 09967 09978 09983 09986 09989 09991 0520 0540
09032 08570
09491 09230
09790 09677
098q4 09835
09946 09917
09964 09944
09973 0995
09978 09966
09982 09972
09986 09979
0560 07988 0 8881 0 9 520 09753 09875 09916 0 9936 09949 0995 7 09968 05ac 07300 08439 09310 09642 09817 09877 099 07 0992_ 09937 09953
0600 06538 07906 09041 09496 09740 09825 09868 09A93 09911 09932 0620 )0640 0middot160 0middot680
0middot5744 04961 0middot4225 03561
0729 06631 05940 05251
08708 0 8310 0 7851 07342
u9308 0 9075 08795 08 465
0middot9641 0 9 514 0middot9357 0 9 167
09757 09(69 09560 09427
0981 0 9 149 0966(1 09563
09amp52 09798 09730 09646
09876 0 98 30 0 9773 0 9702
09906 0 987 1 09828 09714
0700 02981 04593 06796 118090 08942 09267 094 3 0 9544 0961 6 09708 0720 0740
02486 02071
03982 03431
06230 05661
07675 07227
08681 08386
09078 08860
09290 091111
0 9423 0928 0
09513 09391
09628 09534
0760 01727 02944 051(4 067lt5 08060 08614 089 21 09115 09250 09424 0780 01443 02522 04572 06272 07705 08340 086911l 08928 n9088 09297
oeoo 01210 02159 04075 05787 07327 08040 08451 0 871e 0middot8906 09153 0820 0840 0860
0101 9 00863 00 734
01850 01588 01367
036 18 03205 028 34
05311 1)4851 04414
06933 06528 06120
07718 0737 07024
08181 0 7892 07585
0S4iT 08236 07966
08704 08482 0 8243
0899 1 08812 08616
0880 00627 0118 0 0Z506 04005 057 14 06662 07264 0768 1 07986 08404
0900 00539 0loe3 02216 03626 05317 06295 116934 073113 0 77 16 08177 0920 0 940
00466 0040 4
00890 00777
01 962 01 7 39
03278 029 61
0middot4932 0middot4564
05930 05570
06597 06259
0 7 075 0676 1
0 7434 07143
07937 0768 6
0 960 0980
00353 00309
0068 1 00600
01545 01375
02675 0241fgt
04 216 03888
05218 04878
()592~ 05590
06444 06127
0 6846 06546
07425 07157
1000 00272 005311 01227 021 A5 03582 04553 05266 05813 06245 06884 1050 1100 1150
0020~ 00154 00119
00396 00303 00236
009 34 00723 00570
)1708 I1348 VI077
0291 4 02373 01943
0J811 03179 02653
0450~ 038 2Q
03247
05057 04365 03751
05501 0 48 13 041A4
06196 05523 04889
1200 00095 001 88 00456 00811 01601 02222 02156 032l0 03627 04308
1300 00063 00124 003 05 00592 01117 01586 020011 02386 002730 03332 1400 0middot0044 00087 00215 00421 00808 01164 01 493 01198 0 02081 02591 1middot500 0middot0032 001164 001lt9 00312 0-0606 000881 01140 0138 15 0161 6 02042
Page 131
TABLE 15 (CONTINUED)
XV
~ 001()0 00150 00200 00250 00300 00350 00400 00450 00500 00550
(I()
0300 10000 10000 10000 looon 10000 10000 1000n 1000n ]0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0360 10000 10000 10000 10000 10000 10000 10000 10UOO 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 100UO 10000 10000
0400 10000 10000 10000 10000 100000 10000 10000 10000 0000 10000 0middot420 0440
0middot9999 0middot9991i
10000 09999
10000 09999
10000 119999
10000 10000
10000 10000
10000 10000
10000 10000
]0000 10000
10000 10000
0460 09998 0999A 09999 09999 0middot9999 09999 09999 09999 09999 09999 04 0 09996 09997 09998 1)9998 0middot9998 09999 0 9999 09999 0 9999 09999
0500 09993 09995 09996 09997 09997 09998 0999A 09999 09998 09998 0520 0540 0560 0580
09981i 09983 09974 09962
09992 09988 09982 09974
09994 09991 09986 09980
09995 09993 09989 09984
09996 09994 09991 09986
09996 09995 09992 09988
09997 0999i 09993 09989
09997 09996 0999] 09990
09997 0999t) 09994 09991
09998 09996 09994 09992
0600 09945 09963 09972 09977 09980 09983 099811) 09986 0 9987 09988 0620 0640 060 06f1O
09924 0middot9896 0middot9861 0middot9817
0994 09929 099015 0987c
09961 0 9946 09928 09905
09968 09956 09941 09923
0middot9973 0 9963 0middot9950 0middot9934
09976 09968 09957 09943
09979 0 9971 09961 09949
09981 09Jfh 09965 09954
0middot9912 0 9976 09968 09958
09984 09978 09971 09961
0700 09763 09839 09877 09900 09915 09926 09934 0994 1 09946 09950 0720 0740 070 0780
09699 09622 09531 09427
09794 09741 09679 09606
09843 09802 09754 09698
09872 119839 09800 09754
09892 09864 09830 09791
09906 09881 09852 09819
0991 09895 09869 09839
09924 09905 0 9882 09855
09931 0991 3 09892 09868
09936 09920 09901 09878
081)0 09308 0 9522 09633 09701 09746 09779 09804 09823 09839 09852 08~0 09173 09427 09559 09640 09695 09734 09764 09787 09806 09821 0840 0middot9023 09319 09475 09571 0 9636 09683 0 9719 0976 09769 O97S7 0860 08f1O
08857 08676
0 9200 09068
09381 09277
09494 09408
0 9570 0middot9496
09625 09561
0 9667 09610
0 9700 0961t9
09726 0 9679
09748 09704
0900 0920 0940
08lt81 08273 08053
08924 0876R 08600
09163 090)8 08903
09312 09208 09095
09415 0 9325 09227
09489 09411 09325
0954 0947 09399
09590 09521094amp
09626 09568 09501t
09656 09602 095lt3
0960 09AO
07822 07582
0842t 08234
08758 08603
08973 08842
09122 09008
09231 09130
09315 09224
09J81 0 9299
094)5 09359
09479 09409
1000 07335 08037 081t40 08702 0R886 09022 09127 09210 09278 09334 1050 1middot100 1middot150
06699 06059 Q5438
07513 06960 06398
07998 0751 9 0701 7
08321 07899 01449
0middot8550 0middot8175 0middot7768
08722 08384 08013
0885 08548 08207
0896) 08680 08365
0 9050 0middot8788 0middot8496
09U3 08879 08605
1200 04855 05845 06508 06983 0middot7341 07619 0784) 08025 08178 08307
1300 03840 0481Fl 05522 06052 06466 06798 07070 07298 07491 07656 1400 1500
0)038 02425
03944 0323
04636 03884
05192 04416
05623 04859
05987 05234
06292 0555
06552 05835
06776 06080
06971 06295
Page 132
TABLE 15 (CONTI NUEO)
XV
00600 00~41) 00650 00700 00750 00800 00900 01000 011 00 01200~ 00
0300 10000 10000 10000 10000 10000 10000 10000 1000 0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 03~0 10000 10000 10000 10000 10000 10000 10000 10g00 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000
0420 10 0000 1000t) 10000 10000 100000 10000 10000 10000 1middot0000 10000 0420 1middot0000 10000 10000 10000 10000 10000 10000 10000 0000 10000 0440 1middot0000 10000 10000 10000 1middot0000 10000 10000 10lOO middot0000 10000 04~0 0middot9999 10000 10000 10000 10000 10000 10000 10UOO 1middot0000 10000 0480 0middot9999 09999 09999 09999 0 9999 09999 09999 09999 0 9999 09999
0500 09999 09999 09999 09999 09999 09999 09999 09999 09999 09999 0520 09998 09998 09998 U9998 09998 09998 O999~ 09998 09998 09999 0540 09996 09997 09997 09997 09997 09997 09997 09998 09998 09998 0560 09995 0999~ 09995 09995 09996 09996 09996 09991 099970999 0580 09992 09993 09993 09993 09994 09994 09994 09995 09995 09995
0600 09989 09990 09990 09990 09991 09991 09992 09992 0middot9993 09993 0620 0middot9985 09986 09986 09987 09987 09988 09989 09990 09990 09991 0middot640 09979 0 9981 0middot9981 09982 0middot9983 09984 09985 0998~ 0 9987 09988 0middot660 09973 09974 09974 09976 09971 09978 09980 09981 0middot9983 09984 0middot680 09964 09966 09966 09968 0middot9970 09971 09914 09976 0middot9977 09979
0700 09954 09956 09957 09959 09961 09963 09966 09969 09971 09972 0720 09941 09944 09945 09948 0middotQ951 09953 09951 09960 09963 09965 0740 09926 09930 09930 09935 09938 09941 09946 09950 09954 09956 0760 09908 09913 09914 09919 09923 09927 099]3 0 9939 0993 09946 0780 09887 09893 09894 09900 09906 09911 09918 0 9925 09930 0993
0800 09862 09870 09871 09879 09886 09891 09901 09909 0991 5 09920 0820 09834 0984] 09845 09854 0middot9862 09869 09881 09890 0middot9898 09904 0840 09802 09813 0 98 15 9826 0middot9836 09844 09858 09870 09879 09886 0860 0middot9766 09779 09781 09795 0middot9806 09816 0 9833 09A 0middot98S7 09866 0880 0middot9726 09740 09744 09759 0middot9773 09784 098 04 094120 0middot9833 09843
0900 09681 09698 09702 09720 0973 09749 09772 09790 09805 09818 0920 09631 09650 09655 09676 09694 09710 09737 09758 0middot9775 09790 0940 09576 09s99 0960 09628 09649 09667 09698 09722 09742 09759 0960 09516 09542 09548 09575 09599 09620 0965S 09083 09706 09725 09~0 09451 09481 09487 09518 09545 09569 09609 0 964 1 09667 09689
1000 09381 09414 09422 09457 09487 09514 09558 09594 0middot962 09649 1middot050 0middot9184 09227 09237 09282 0middot9322 09357 09416 0940 0middot9503 09536 1middot100 0middot8956 09010 0middot9022 09080 0 9 130 09175 09250 0931+ 0 9362 0middot9404 1middot10 08699 08765 08780 08851 089 13 08968 09061 091 3 0middot9200 09253 1middot200 0841 8 08496 0851 4 08598 0middot8672 08738 08850 08942 0 9011 09083
1300 07800 07901 07925 08036 08135 08224 08375 0 850 1 08607 08697 1410 07143 07266 07295 074)0 Q7551 07661 07851 080 10 0middot8144 08261 1500 06481 06626 06659 06813 06953 07081 07304 07492 07655 07795
Page 133
68880 Tl880 lZL8deg0 1980 S880 19pound80 l1ZS0 alSO L20S0 S16L0 OUS1 OpoundUO OL060 deg006middot0 L1680 9188deg0 8lL80 66S8n 8aSS0 OsSO 19pound8deg0 00[ 6pound6deg0 50pound60 SZ60 pound616deg0 81160 060 556S00 Z0680 a88deg0 LUoo OOE
Spound560 60amp60 H60 ~E6deg0 08pound60 6Zpound60 LIi~60 6ZZ60 L816deg0 6pound160 OUZl 02960 L6560 69i60 iE56deg0 66deg0 pound560 Zh6deg0 ZLpound6deg0 8poundE60 86260 05tot 696deg0 9L960 CQ60 _296deg0 _656deg0 pound956deg0 poundZ56deg0 6660 ZL6deg0 060 OUt 0
85L60 5L600 8L60 80L6middot0 8960 6596deg0 82960 6deg96middot0 88560 956middot0 OOt 1860 OS60 l6L60 LLL6middot0 65L60 HoL60 8U60 OL6middot0 8896middot0 OL960 000
pound96middot0 Sa86middot0 1860 Z086middot0 98L6middot0 69L6deg0 6tL6deg0 LpoundL6deg0 tU6middot0 LOL60 086middot0 Z586middot0 86 0 -pound1260 2860 Ot96middot0 96L6middot0 8LL6middot0 89L60 9SL60 ZL6deg0 0160 69860 Z9860 551160 860 poundpound86
00 12960 S0960 96L6deg0 98L60 ELL60 060
S8860 6L8600 ZL860 9860 5860 pound860 OE860 22860 pound1860 Z0860 OZ60 66860 6860 68860 Z8860 poundL8b0 986middot0 Z586middot0 5860 8pound86deg0 6286middot0 006middot0
2166middot0 80660 E066middot0 L696middot0 0686deg0 Z886deg0 poundLe6deg0 L986deg0 09860 2586 0 0 088middotU Z66deg0 12660 LU6deg0 Z166middot0 506600 6686deg0 16860 98S60 0896deg0 L86deg0 098deg0 5pound66deg0 Zpound6600 6266deg0 266deg0 61660 166deg0 L066deg0 pound0660 ij6860 pound6860 0 08deg0 bullbull66deg0 2660 6pound66deg0 11pound660 2pound6b0 Ll660 22660 81660 t660 01660 0~90
pound5660 15660 6660 66middot0 pound66middot0 6pound660 pound66deg0 2pound66deg0 ~2660 5266middot0 0080
09660 6i660 L5660 i566deg0 25660 6660 9660 pound660 166deg0 9pound660 OtiLO L9660 99660 59660 pound9660 19660 8566deg0 55660 415660 (566middot0 6660 OJILO poundL660 2L660 0 U660 ~L660 89660 99660 9660 29660 (966deg0 65660 OtLO 9L660 L~66O LL66deg0 L660 L660 EL660 U66n OL660 89660 L9660 OZLO 2866deg0 2866
0 0 18660 0866deg0 6L66deg0 8L660 U66deg0 9~660 itL66 deg 0 U660 oOLO
98660 96660 5866deg0 l966deg 0 866deg0 pound866 00 2866 00 1866deg0 1866deg0 0866 00 0~900
6966 00 6t1660 0 9866deg0 ~86600 L866deg0 LS660 98660 911660 58660 866deg0 Oli9middot0 16660 166600 166bull0 16660 06660 066600 68660 68660 6S660 98660 090 pound6660 pound6660 pound6660 pound666middot0 pound6660 pound6660 26660 Z6660 C666middot0 1666middot0 Ol9deg0 56660 5666deg 0 -6660 6660 5666middot0 56660 666degn 416660 6660 6660 OU9deg0
96660 96660 96660 11666middot0 111666deg0 96660 9666deg0 9666deg0 9666deg0 S666middot0 O~lO L666deg0 L6660 L 6deg0 L666deg0 ~666middot0 L6660 L6660 L6660 L666middot0 L6660 osmiddoto 86660 86660 96middot0 tl666deg0 11666middot0 96660 8666middot0 8666deg0 tl666middot0 86660 050 6666deg0 66660 6666deg0 00660 66660 6666deg0 6666deg0 66660 06b60 6666deg0 o~smiddoto
6666deg0 6666deg0 66660 0666 0 66660 66660 6666deg0 66660 6666middot0 6666deg0 OOSmiddotO
66660 666600 001)01 0000deg1 6666middot0 6666middot0 6666deg0 0666middot0 tgt66600 OlJmiddotO ggggl 0000deg1 0000middot1 oooOmiddott 0000deg1 deg t 0000 01 OOOOOt 0000deg1 OOUOmiddotl OUOOmiddotl 0deg0 OOOoot 000001 001001 00001 0000deg1 00001 011001 0000middot1 0000middot1 0bullbullmiddot0 00001 ()OOOt 4000deg1 ~ 0000deg1 00001 0200 oOOot 0000deg1 000 I OUOOot 01gt00middot1 00001 0000 01 000deg1 0000deg1 0000deg1 00000( 00001 0000deg1 OOuool 00001 00deg0
OOOOt 000001 OOOOt 0000( 00001 0000deg1 00001 0000deg1 0000middot1 0000deg1 OijpoundO 0000middot1 OOOooL 0000deg1 00001 0000middot1 00001 0000middot1 0000-1 uooomiddott 0000middot 01(0 00001 0000middot t 001)01 00001 0000middot1 0000middot1 00001 00001 ~ ouOOmiddotl 0pounddeg0 0000middot1 0000deg 00001 00001 OOOOOt 0000deg1 00001 OUOOl UOOOol 0000deg O~poundU OOOOt 00001 110001 0000deg1 00001 0000deg1 0000middot1 0000middot1 0000middot1 ~ OOEmiddotO
000pound00 OS~2middot0 OOiZoO OillO OOOZmiddotO 0081deg0 0091deg0 00510 0091deg0 00pounddeg0 ~
fll(
(Q3m~UNOgt 5( 318-1
00
3Table 16 The Enthalpy and Entr opy of He Along the Solubility Curve and the Heat Absorption Rate of the Dilution Refrigerator
T Xt H3 (Xt T) S3 (Xt T) H3 (Xt T) - H3deg(T) (TmTi)Q=O
(O~) 3(Jmo1e He )
3(JoK mole He ) 3
(Jmo1e He ) T=T m
0000 0064000 00 00 00
0001 0064000 9451 x 10-5 010716 8188 x 10 -5 0365
0002 0064002 3781 x 10 -4
02143 3277x10-4 0364
0004 0064007 1 513 x 10 -3 04286 1312x10-3 0361
0006 0064016 3404 x 10-3 06427 2954 x 10 -3 0359
0008 0064029 6050 x 10-3
08567 5254 x 10-3
0357
0010 0064045 9452x10-3 10705 8214x10-3 0355
0015 006410 002125 1604 001850 0349
0020 006418 003772 2134 003288 0345
0025 006429 005881 2660 005132 0339
0030 006443 008443 3182 007377 0334
0035 006459 011448 3697 010012 0329
0040 006480 014884 4206 013028 0325
0045 006503 01873 4705 01641 0320
0050 006530 02298 5195 02014 0316
0060 006596 03257 6141 02857 0306
0070 006680 04347 7032 03813 0298
0080 006784 05549 7867 04865 0289
0090 006906 06844 8643 05995 0281
010 007042 08213 9362 07186 0274
012 007361 11122 10643 09699 0262
014 007731 1 4190 11739 1 2328 0255
016 008157 1 736 12670 1502 0250
018 008628 2058 13468 1 774 0247
020 009144 2383 14154 2046 0245
025 010618 3195 1549 2718 0245
030 012363 3988 1643 3364 0252
035 014373 4749 1710 3975 0260
040 01665 5471 1759 4 541 0271
045 01918 6150 1796 5061 0283
050 02201 6732 1822 5478 0297
055 02527 7338 1839 5916 0311
060 02908 7810 1846 6216 0326
Page 135
TABLE 17
THE HE3 CONCENTRATION SPECIFIC HEAT AND ENTROPy AT CONSTANT ~4
T III m
0000 DEGREES T m
0010 DEGREES Tm 0020 DEGREES
T X Cfgt4 53 X Cfgt4 53 X C~4 53 (K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K)
0000 006400 00000 0001)0 0001 0064011 0107C 01072 0002 006399 02144 02143 1)003 006398 03217 03215 0004 006396 04290 04288
0006 006391 06443 0middot6434 0008 006383 0860 4 08583 0010 006374 10177 10737 006404 10745 10705 0012 006362 12964 12894 006393 12925 12856 0014 006349 15168 15058 006379 15122 15013
0016 1)06333 17391 17228 006364 17339 11171 0018 006316 19637 19406 006346 19578 19348 0020 006296 21907 21592 006326 21842 21528 006418 21645 21331 0025 006238 27104 211OD 006269 27621 27019 006360 27375 26779 0030 006169 33693 32677 006199 33593 32580 006290 3middot3294 32290
0035 006088 39888 38333 006118 39770 38219 006208 39418 37880 0040 005997 46282 44074 006026 46146 43943 006116 45742 43553 0045 005896 52846 49903 005925 52693 49755 006014 52240 49314 0050 005786 59564 55816 005815 59395 55651 005903 58895 55161 0060 005541 73202 67879 005575 73009 67681 005660 72435 67092
0070 005289 86727 80182 005316 86518 79953 1105399 85892 79272 0080 005022 99790 92623 005048 99571 92365 005128 98921 91598 0090 004755 112071 105096 004780 1l185S 104812 1104856 111205 103968 0100 004494 123295 117500 004518 123082 111193 004591 122446 116281 0120 004009 141442 141746 004031 141265 141403 004098 140840 140380
0140 003585 156269 164861 003605 162838 164491 003665 161448 163389 0160 003182 164656 187486 003200 165749 187085 1103259 165830 185794 0180 002908 175207 207065 002924 172729 206659 002974 172843 205449 0200 002654 181627 225819 002669 181539 225403 002714 161273 224163 0250 002155 192703 267752 002167 192629 267319 002204 192403 266030
0300 001806 197727 303369 001817 197703 302925 001848 197634 301600 0350 0400
0middot01551 001356
201378 203670
334078 361131
001560 001364
201326 203647
333632 360677
(101586001387
201166 203580
332303 359322
0450 001203 205341 385205 001210 205319 384749 001231 205265 383393 0500 001079 207311 406925 001085 207267 406466 001104 207124 405100
0550 000977 209525 426780 000982 209480 426317 1100999 209355 424935 0600 0650
000890 000815
211960 214933
445111 4621A8
000895 000819
211917 214842
444643 461716
000910 000834
211778 214654
443252 460311
0700 000749 218847 478254 000753 218781 477774 000766 218554 476354 0750 000690 224606 493538 000694 224507 493054 1gt00706 224094 491613
0800 000635 233202 508299 000639 233033 507806 000650 232577 506334 0850 000583 247028 522826 000587 24677tJ 522321 000597 246067 520817 0900 000531 268309 537531 000535 267920 537007 000545 266765 535449 0middot950 1000
000478 000421
297390 331787
552922 569838
000481 000424
301574 333057
552370 569242
100491 000433
299752 331382
550730 567414
1100 000283 704503 614275 000286 693165 613469 000294 676812 611083 1200 000098 1738501 714579 000100 1677101 710943 000108 Itgt1J305 705365 1300 000000 000000 000000 1400 000000 000000 000000 1500 000000 000000 000000
Page 136
TABLE 17 (CONTINUED)
T m
II 0050 DEGREES T m
bull 0100 DEGREES Tm a 0200 DEGREES
T X Clo4 53 X CIlo4 53 X Cf4 53 IK) (JMOLE-K) CJMOLE-K) (JMOLE-K) (JMOLE-K) (JMULE-K) CJMOLE-KI
0050 006530 55557 51950 000000 00000 00000 000000 00000 00000 0060 006270 68655 63235 000000 00000 00000 000000 0middot0000 00000
00 70 005989 81771 74805 000000 00000 00000 000000 0middot0000 00000 0080 0middot05696 94606 86566 000000 00000 00000 0middot00000 0middot0000 00000 0090 0100
005401 005113
106847 1181A5
98424 1100281
000000 007042
00000 107161
00600 93624
000000 UOOOOO
0middot0000 00000
00000 00000
0 120 004 571 137293 133640 006307 126129 114848 000000 000000 00000
0140 004092 156793 156114 005656 146070 135676 000000 00000 00000 0 160 Ol AO
003653 003327
163652 171204
177909 197439
005061 004604
155667 164952
156134 174878
000000 000000
0middot0000 0middot0000
00000 00000
0 2 00 003037 179369 215941 004201 173821 192764 009144 164768 141542 0 250 002467 190964 257442 003412 187054 233201 u07228 179647 180039
0 3 00 002068 197137 292804 002858 194075 267968 u05973 188660 213658 0 35 0 0 4 00
(l01H6 001553
200234 202994
n34fl 350331
002453 002145
198430 201291
298213 324896
U05086 U04425
194110 197611
243173 269326
)450 001378 205010 374367 001903 203481 348720 003914 200048 292741 0500 001236 206535 396039 001708 204712 370237 003507 201931 313911
0 550 001119 208399 415799 001548 206821 389813 003175 20middot3386 333225 0600 001020 210771 414025 001412 208861 407902 002898 204920 350978 n650 000935 213497 451000 001297 210600 424690 002664 20middot6195 367435 071)0 000861 216978 466944 001196 213002 440377 002461 20middot7636 382765 0 750 000794 22191H 482076 001106 216663 455190 1102285 210191 397161
0 8 00 000733 229486 496632 001025 222308 469343 002128 212345 410815 0amp50 000675 241307 510879 000950 230723 483062 001985 217372 423801 0900 000618 2596~7 525170 000878 243589 496597 001854 223342 436408 0950 000560 288207 539953 000806 263229 510274 001729 231609 448695 1000 000498 321825 555896 000131 289821 524529 001607 244603 460892
1100 000354 580966 595964 000565 305216 557481 001358 288125 486278 1200 000162 1230201 671211 000355 1001625 606464 001079 363583 515631 1 300 000000 000078 2840930 750865 000742 115849 556015 1400 000000 000000 000317 1501686 634901 1500 000000 000000 000000
TABLE 17 (CONTINUED)
T = 0300 DEGREES T 0400 DEGREES T OIOO DEGREES m m m X CJJ4 53 X Cf4 S3 X Cf4 S3
(Kl (JMOLE-K) (JMOLE-K) (JMOLE-K) CJMOLE-K) (JMOLE-K) CJMOLE-KI
0300 012363 197721 164293 0350 010046 198066 194823 0400 008543 1988(1 221262 016650 231794 175895 0450 007456 200199 244745 013616 216682 202286 0500 006625 201422 265893 011739 209547 224585 022010 284688 182210
0550 005964 2()2486 285136 010385 207183 244405 017706 241038 207168 0600 005423 203453 302792 009340 206270 262377 015343 221874 226966 0650 004973 21)4394 319111 008499 205979 278867 013675 215281 244396 0700 004589 205386 334292 007803 206054 294129 012391 212093 260209 0750 004258 206601 348500 007214 206428 308354 011354 2100432 274773
0800 003968 208229 361883 006707 207156 321697 010490 20middot9682 288323 0S50 003710 210496 374572 006263 208357 334289 009753 209631 301028 0900 003477 213783 386691 005868 middot210216 346247 009111 210241 313024 0950 003261 218696 398373 005512 213016 357683 008544 211636 324424 1000 003058 225569 409762 005184 217007 368707 008032 213912 335333
1100 002670 248215 432273 004583 230394 389969 007127 222135 356068 1200 002275 292769 455737 004014 255243 411031 006314 237633 376018 1300 001839 370332 482695 003432 299765 433198 005531 265004 396073 1400 001329 483665 518038 002796 384167 458542 004725 313845 417432 1500 000707 1466084 577753 002064 573025 491242 003846 405955 442029
Page 137 GPO 840middot 501
THERMODYNAMIC PROPERTIES OF HE3 - HE4 SOLUTIONS WITH APPLICATIONS TO THE HE3- HE4
DILUTION REFRIGERATOR
Ray Radebaugh
1 bull Introduction
Early in 1966 Hall et al [1] and Neganovet al [2] independently
succeeded in achieving continuous refrigeration below O 1 0 K using a 3 4
He - He dilution refrigerator Such a refrigerator was first proposed
by London Clarke and Mendoza [ 3] Previously such temperatures
could be reached only by adiabatic demagnetization of a paramagnetic
salt although the process is not a continuous one Since the dilution
refrigerator has certain advantages over adiabatic demagnetization
researchers are rapidly turning their attention to this new technique
Several new dilution refrigerators have been built since early 1966 with
many others in the construction or planning stage Improvements are
constantly being made to these refrigerators and as a result the lowest
temperatures reached with them have steadily been reduced Vilches
and Wheatley have just recently reached O 012 OK in continuous operation
[4] and O 0045degK in transient operation [5] It should be possible to
reach even lower temperatures with this technique but further design reshy3
finements are hampered by a lack of data on the properties of the He shy4
He solutions used in the refrigerator
The purpose of this paper is to present a complete and consistent 3 4
set of data for the thermodynamic properties of liquid He - He solutions
for the temperature range 0 - 1 5 degK Such information is needed to
analyze the performance of dilution refrigerators and to help optimize
their design These data of course are also necessary to predict the 3 4
behavior of any other process which involves He - He solutions at these
temperatures Nothing will be said of the transport properties of the
solutions which are also urgently needed for the optimum design of
dilution refrigerator s
Most of the properties to be discussed in this paper have been
measured experimentally but unfortunately very few of the measureshy
ments have been done below O 5degK An excellent list of the experimenshy
tally determined properties has already been given [ 6] To this list
should be added the recent specific heat measurements of Edwards et al
[7] down to about O 1 oK and of Anderson et al [8] down to about O 004degK
The solubility curve has now been measured extensively down to about
O 02degK [9] The specific heat measurements however are not extensive
enough to permit a deduction of various thermodynamic properties as
functions of temperature and concentration down to OOK without recourse
to some theoretical model In this paper it will be shown that the thermoshy
dynamic properties of a weakly interacting Fermi-Dirac gas are in very 3 4
good agreement with all existing experimental data on He - He solutions
for temperatures below 1 50 K provided that values of certain parameters
of the model are determined from experiments Application of these
thermodynamic properties will then be made to describe the behavior of 3 4
He - He dilution refrigerators The Fermi-Dirac gas model has been
applied previously [ 4 5 10] to the analysis of the dilution refrigerator but
not to the extent of this paper In addition the previous analyses did not 3
take into account interactions between the He atoms in solutionwhich is
important for many of the properties
2 Selection of a Theoretical Model
3 4Experiments have shown that He is not miscible in He for all
3 4concentrations and temperatures The phase diagram of He - He
2
solutions shown in figure 1 indicates that for teITlperatures less than
about O 86 OK certain interITlediate concentrations are not perITlitted 3
Instead the solution separates into a concentrated He phase floating on 3
top of the heavier dilute solution At OaK it is possible to dissolve He
in He 4
up to a concentration of (64 plusmn O 1) percent [ 9] Thus at very low
teITlperatures the only concern is with dilute solutions and essentially 3
pure He Only dilute solutions will be considered here since a satisshy
factory theoretical ITlode1 has not been found for concentrated solutions
i e for concentrations greater than about 20 to 30 percent The propshy3
erties of pure He can of course be deduced directly froITl experiITlenta1
results SOITle of which extend down to the ITlillidegree region
Landau and POITleranchuk[14] were the first to propose a theoreti shy3 4
cal ITlode1 for the behavior of dilute He - He solutions According to
this theory the excitation spectruITl of the liquid is ITlodified by the addition
of noninteracting FerITli quasipartic1es equal in nUITlber to the nUITlber of 3
He atOITls The analysis was liITlited however to the nondegenerate
(high teITlperature) range where the quasipartic1es can be treated as an 3
ideal gas and thus would contribute an aITlount 32 R per ITlo1e of He
to the specific heat of the solution For teITlperatures sOITlewhat less 4
than 1 0 K the specific heat of He becoITles extreITle1y sITlall so the specifshy3
ic heat for T lt 1 deg K is due solely to the He contribution For teITlperashy
tures of about O 5degK and for concentrations less than 15 percent the
prediction of a 32 R contribution to the specific heat has been borne out
by ITleasureITlents of Edwards et al [7] Results of de Bruyn Ouboter
et al [11] above 04degK however appear to be in good agreeITlent only 3 4
in the liITlit of zero concentration This ideal gas ITlodel of He - He
solutions has been used in the past to analyze the behavior of the dilution
refriger ator [ 1 2 6 15]
3
15
~middot10
o
Ishy
~
05 o
A
Lin
e
o -
de B
ruyn
Ou
bo
ter
et
01
(J
-E
dw
ard
s e
t 01
amp
-B
rew
er
an
d K
eys
ton
PH
AS
E
SE
PA
RA
TIO
N
RE
GIO
N
04
06
08
10
02
x
3 4
Fig
ure
1
P
hase
Dia
gra
m o
f H
eH
e S
olu
tio
ns
T
he d
ata
po
ints
are
fro
m s
ev
era
l au
tho
rs
l 71
1
l2J
an
d t
he d
eta
iled
beh
av
ior
at
the in
ters
ecti
on
of
the
A a
nd
ph
ase
sep
ara
tio
n
lin
es
is f
rom
th
e w
ork
of
Gra
f et
al
L
13
]
For temperatures approaching OOK the 32 R term must disappear
according to the third law of therrrlodynamics Measurements l 7 8] show
that the specific heat begins to drop at about O 2 to O 5degK (depending on
concentration) and becomes proportional to T for much lower temperatures
Since the dilution refrigerator usually operates below 01 degK the ideal
gas model can not be relied upon to give a satisfactory explanation of the
behavior of a dilution refrigerator
Edwards et al [7] showed that their specific heat data were fit 3
very well at all temperatures by treating the He as a Fermi-Dirac gas 3
with an effective mass m~~ of 2 5 times the mass of a He atom
Anderson et aL [8] also found that the same model would fit their data
within experimental error but with the values 2 38 and 246 for mm3
in 1 32 percent and 5 02 percent solutions respectively The data of
Anderson et al extended well into the degenerate region of the Fermishy
Dirac gas where the specific heat is proportional to both mm and T3
Thus the Fermi-Dirac gas model shows excellent promise for predicting 3 3 4
the thermodynamic properties of He in liquid He - He solutions at all
temperatures
The variation of mm with concentration can be accounted for by3
3conSidering weak interactions between the He atoms Doing so however
does not change the specific heat from that of a noninteracting Fermishy
Dirac gas with the same mm [ 16] It will be shown that the behavior3
of the solubility curve also requires that interactions be introduced 3 4
Thus in this note the thermodynamic properties of He - He solutions
are derived from the weakly interacting Fermi-Dirac gas model
3 Computational Methods
3 43 1 Properties of He in Liquid He
The behavior of the interparticle interaction and its effects must
be evaluated before calculations of thermodynamic properties can be
5
made Bardeen Baym and Pines [17] (BBP) assumed the interaction 3
between two He atoms separated by a distance r is spin velocity and
concentration independent and weak Their interaction is written in
terms of the Fourier transform V(k) by
J V(r ) = V (i~) e i kmiddot r dk (1)
3(21T)
where k is the wave vector For an isotropic systemV(k) = V(k) The
effective mass m~ is then given as [ 17]
m = 1 +1 F S = 1 _ N(O) J2kf V(k) k (1 _ L) dk (2) m 2 23 1 2k 0 2 k o
f f
where m is the value of m at zero concentration o
2 2 (3)N(O) = m k 21T tlf
is the density of energy states at the Fermi surface for one spin orientashy
tion and k is the magnitude of the Fermi wave vector The dependencef
of k on concentration is shown by the relationf
2 2k = (31T n3)13 = (31T NAv)13 (4)f
3where n3 is the number density of He atoms in solution NA is
Avogadros number and v is the volume of solution containing one mole 3
of He The expression
233 v=V X=2758X+760+165X cm moleHe (5)
m
3where V is the molar volume of the solution and X is the He concenshy
m
tration will be used throughout these calculations Equation (5) agrees
6
with experimental data [ 9 18] to within O 3 percent for concentrations
less than X = O 3 and all temperatures less than 1 5degK The value 3 4
27 58 cm mole is the molar volume of pure He between 0 and 1 5degK
To calculate m from (2) knowledge of V(k) is necessary The
simple two-parameter form used by BBP to fit spin-diffusion results
[8] is given by
V(k) = V cos (13k) (6)o
o 2 -38 3with 13 = 316 A and V0 = -00754 m s n = -1 303 x 10 ergs cm
4 44
where m 4 is the mass of the He atom s is the velocity of first sound in 4 4
He at T = 0 and n 4 is the number density of pure He at T O Ebner
[19] recently extended these calculations for V (k) to higher concentrations
and used the form
(7)
where V is the same as that used by BBP and the other parameters are o
C = 40752 C = 00564 (8 ) 2 3
The form of V(k) given in (6) is limited to concentrations less than 5 pershy
cent whereas the form in (7) is valid for concentrations even higher than
30 percent Ebner states however that V(k) in (7) may contain some
10 --15 percent error Both forms for V(k) were used in (2) to solve for
mm assuming mom3 = 234 as suggested by BBP Figure 2 shows3
the calculated concentration dependence of mm compared with four3
experimental points from specific heat data Both curves give good agreeshy
ment with experiment but since Ebners form of V(k) is valid for higher
concentrations mm obtained by using his form of V(k) will be adopted3
here These values of mm are also listed in Table 1 along with k3 f
and the Fermi temperature T f given by
7
23~--_
____
____
____
_~__
____
____
____
__L
__
__
__
__
__
__
__
_~
__
__
__
__
__
__
__
__~
__
__
__
__
__
__
__~
o 0
05
010
0
15
02
0
025
x
3
4 3
Fig
ure
2
Eff
ecti
ve M
ass
Rati
o o
f H
e in
He
as
a F
un
cti
on
of
He
Co
ncen
trati
on
TABLE 1
SOME TEMPERATURE INDEPENDENT PROPERTIES OF HE3 IN SUPERFLUID HE4
X 10-7 kf
-1(em )
T f (OK)
11=
m 1m3
-(1l3 + L 3 deg)R
(OK)
00000 000000 0000000 234000 0258728 00001 040136 0005535 234046 0258841 0middot0002 050567 00087B4 234092 0258956 0middot0005 068628 0016171 234225 0259310 00010 086462 0025643 234442 0259920
00020 108926 0040627 234857 0261201 0middot0030 124677 0053137 235253 0262544 00040 137213 0064255 235633 0263940 0middot0050 147794 0074432 236000 0265382 00060 157041 0083910 236355 0266865
0U080 172814 0101322 237033 0269938 0middot0100 186124 0117214 237674 0273139 0middot0150 212961 0152510 239145 0281601 0middot0200 234287 0183572 240462 0290600 0middot0250 252263 0211771 241656 0300U32
00300 267947 0237848 242748 0309825 0middotU350 281946 0262265 243753 031 99 26 0middot0400 294645 0285332 244684 0330293 00450 306304 0307272 245550 0340892 00500 317109 0328251 246359 0351698
00550 327197 0348395 247117 0362685 0middot0600 336673 0367807 247830 0373837 0middot0640 343870 0382864 248371 0382864 0middot0650 345620 0386567 248502 0385135 0middot0700 354104 0404742 249138 0396565
00750 362178 0422388 249742 0408115 0U8 OO 369887 0439551 250315 041 9775 00900 384352 0472586 251381 0443382 01000 397732 0504107 252357 0467321 01100 410202 0534310 253255 0491539
0-1200 421894 0563353 254088 0515992 01300 432914 0591359 254864 0540643 01400 443344 0618430 255592 0565461 01500 453252 0644651 256278 0590420 01600 462694 0670092 256927 0615498
01800 480362 0718869 258133 066t934 02000 496644 0765151 259239 0716639 02250 515379 0819942 260512 0780246 02500 532610 0871743 261690 0843959 02750 548575 0920896 262796 0907654
03000 563456 0967674 263844 0971234 03500 590503 1054946 265810 1097725 04000 614589 1134915 267648 1222900 04500 636280 1208563 269392 1346348 05000 655978 1276633 271062 1467729
Page 9
2 2 23T h k 2 K m 54 890(v m~~m) oK
f f 3 (9)
where K is Boltzmann I s constant
Stoner [20] has evaluated the specific heat C of a Fermi-Dirac v
gas for all temperatures as a function of the ratio TITr Since he gives
only tabulated results for the intermediate temperature range a power
series expression was fit to his data to facilitate calculations of thermoshy
dynamic properties The details of this power series fit are given in 3 4
Appendix A The specific heat and entropy of dilute He - He solutions
can now be calculated as functions of temperature and concentration
However to proceed with calculations of enthalpy chemical
potential osmotic pressure and other related properties the deviation 3
of the chemical potential of He in solution from that of an ideal Fermishy
Dirac gas must be found There will be a considerable deviation because 3
of the presence of a binding energy and the interaction between He atoms 3
The chemical potential of He in solution can be written as
1 (X T) 1 (X T) + 1 1 (X T)3 f 3 (10)
where 1 is the chemical potential of the ideal Fermi-Dirac gas with effecshyf
tive mass m and is given by T
J H - TS 53 U - TS R T + 53 Jr C dTf f f f f f v
o
T - T J (CvT) dT (11 )
o
In this equation H Sf and U are the molar enthalpy entropy andf f
internal ener gy of the ideal Fermi-Dirac gas and R is the gas constant
Since C has been expressed as a power series in T the integrations v
can be easily carried out with the aid of a computer
10
3
The term 1 13 can be evaluated from the expe rimental data for the
dilute solubility curve and then compared with theoretical re sults for 1 1 bull
The experimental values of 13 are found by making use of the fact that 3
in a phase separated solution the chemical potential of He must be the
same in both the dilute and concentrated phases If at first it is conshy3
sidered that the concentrated phase is pure He then
(12 )
where Xt denotes the concentration of the dilute phase on the solubility
curve
rT T 1 deg = - L3 deg + J C deg dT - T J (C degIT) dT
3 3 3 o 0 (13 )
3is the chemical potential of pure He and L3 deg is the molar heat of vaporshy
lzahon 0 f He 3 OOKpure at T = bull The quantity 1 deg + L3 deg is calculated3
3using values for the properties of pure He given in Appendix B The
term 1X T) in (12) is evaluated using (11) at each data point [79]t
for the solubility curve By combining (12) and (13)values for 13 (X T)t
+ L3 deg can be determined The results of such calculations are shown in
figure 3 Also in figure 3 are shown curves for T f from (9) and a theoretshy
ical result for 113 + L3 deg which will be discussed shortly From (11) (12)
and (13) it is obvious that (-11 3 - L3 deg)R = T f for T = 0 0 K and the conshy3 4
centration at which this occurs is the limiting solubility of He in He at
T = OOK
The theoretical behavior of 1 using V(k) has been discussed by3
BBP and Ebner However bull their definition of 13 is slightly different than
that used here The difference is that they use the effective mass m inshyo
stead of m in evaluating I1 in (l0) The theoretical expression given byf
BBP for their 1-13 r at T = OOK is
11
08
1
06
o ~ 0
4
I-
N
02
o
TH
IS
WO
RK
0CD
l G
I
LO
o -P
3 -
3
R
0-
Ifff
e
f 01
EX
PE
RIM
EN
TA
L
a _
Ed
wa
rds
tit
01
I L
0-P
3-
3
R
005
0
10
015
0
20
0
25
x F
igu
re 3
T
he
Ferm
i T
em
pera
ture
an
d D
ev
iati
on
of
the C
hem
ical
Po
ten
tial
fro
m t
he I
deal
Ferm
i -D
irac V
alu
e
2 NA J2kf 2 k =Eo + (N Iv) V(O) - -2 k (1 - 2k ) V(k) dk (14)A 41T 0 f
where E is the binding energy and is independent of concentration The o
second and third terms on the right side of (14) are the Hartree and exshy
change corrections to ~3 To be consistent with the theory of BBP and
Ebner the ~31 defined by (10) and used here should contain an additional
term equal to the difference between ~f evaluated at mo and m However
when this additional term is neglected the theoretical ~31 from (14) fits
experimental data very well even for temperatures up to O 6degK as will be
shown very shortly Inclusion of the additional term requires ~3 to be
temperature dependent to give agreement with experimental values at
finite temperatures This temperature dependence has been worked out
by Ebner only for the high and low temperature limits Since the primary
purpose of this paper is to find a model which can be used to fit experishy
mental data over a wide range of temperature and concentration the
additional term in (14) required by rigorous theory will not be considered
in this paper Equation (14) was evaluated numerically using Ebners
form of V(k) The quantity Eo + L3 deg is found from a best fit of the
theoretical ~3 + L3 deg to the data points in figure 3 Only the data for
X lt O 075 were considered for the fit since it will be shown that the data
at higher concentrations and temperatures require some correction
From this fit it is found that
(15)
and that
X t (T = O) = O 0640 (16)
13
J
is the limiting solubility of He3
in He4
at T = 0deg K fft et al t 9] report
a slightly different value of O 0637 for X t (T = O) from a T2 extrapolation
of their data The theoretical result for J t is given in Table 1 in addition3
to being shown in figure 3 Including the additional term in (14) would
yield the result O 282 degK for (1S) which agrees with the value given by
fft et al l 9] The uncertainty in V(k) however is such that the difshy
ference in the two results for (-Eo - L3 deg )R is inconsequential [19 21]
The discrepancy between experimental and theoretical values for
1 r at higher concentrations can be completely explained by correcting 1 03 3
4used in (12) to account for the presence of a small amount of He in the
concentrated phase This correction then changes the experimental values
tor J The term 1c which must be added to tl3 deg to give the chemical poshy3
tential of the concentrated phase was actually found by forcing the experishy
mental data for tl3 + L3 deg in figure 3 to agree with the theoretical result
shown in the same figure This correction term J is shown in figure 4 as c
a function of temperature For temperatures above O 4deg K this curve was
deduced from a smoothly drawn phase separation line bridging the gap beshy
tween the low and high temperature data shown in figure 1 Figure 4 comshy
pares this calculated behavior of 1 with two other results for J One of c c
these other results is based on the experimental work of de Bruyn Ouboter
et al lll] for the thermodynamic properties of concentrated solutions
down to about 04deg K The term 1 is calculated from their data by the c
relation IOGt)
- G t + (1 - X ) oX (17)1c - u X=X
u
where X is the concentration of the concentrated phase and G t is taken u
to be
G t = G -l X 1 deg + (1 - X) 1 0]3 4
= X (13 - 1 deg) + (1 - X) (14 - J deg) (18)3 4
14
I I
I I
I
08~------~------~------~-------r------~------~~~
CD-0 E
rn CD
1 0
-gt
0 =l I
--8-- de Bruyn Ouboter et 01
---0-- This Work
--- Regulor Solution Theory
06 I I
I I
I I
I
I fI
I I04
I I
I
I I
02
o 02 04 06
Figure 4 The Difference in Chemical 130tential Between the Conshycentrated Phase and Pure He bull
15
with G as the Gibbs free energy and -1 - -1 0 the difference in chemical4 4
potential between He4
in solution and pure He 4 The term (oGt joX)X=X u
is very difficult to evaluate from the experimental data but appears to
be fairly small For a first approximation that term is chosen to be zero
which then leaves -1 = G i A better approximation can be made Since c
the terms 1J and J must be the same in both the dilute and concentrated 3 4
phases the term oGtjoX must also be the same in both phases The
theoretical behavior of -1 - -1 0 and -1 - -1 (to be calculated later) in3 3 4 4
0
the dilute phase can be used to find oGtjoX This then results in a
negative value for oGi oX and makes -1 less than Gt The difference c
though is only significant above about O4degK but is still less than the
experimental uncertainty and so it is not shown in figure 4 The other
curve shown for comparison in this figure results from assuming that
the solutions behave as a regular solution This assumption should give
reasonable results in the concentrated phase at least for the higher temshy
peratures The details of the calculation for -1 from the regular solution c
theory are given in Appendix C where the concentration X as a function of u
temperature is listed in Table 6 It is evident from the curve shown in
figure 4 that the behavior of -1 which results in an exact agreement of c
experimental and theoretical -1 + L3 0 can be considered to be consistent3
with all other estimates of its behavior although possibly too high around
O 2 OK In other words the theoretical -1 I agrees with experimental data3
along the solubility curve within experimental error and no temperature
dependence of -1 f is necessary to give this agreement even for temperashy3
tures as high as O6degK Of course a small temperature dependence is
still possible in view of the fairly large uncertainty in -1c but -1 I is3
assumed to be independent of T in all of the present calculations In any
case a small temperature-dependent term would have very little effect on
most of the thermodynamic properties at all but the lowest temperatures
since -1 I contributes significantly to these properties only at low temperashy3
tures
16
By using the theoretical behavior of JI t and ~c (11) and (12) can3
be used to derive the theoretical phase separation teInperature as a
function of concentration This calculation is just the reverse of the
case where the experiInental 1-13 I was deduced froIn the experiInental
phase separation teInperature The results for the theoretical phase
separation teInperature are shown in figure 5 along with experiInental
values l 7 9] and are listed in Table 2 To sUInInarize the behavior of
the weakly interacting FerIni-Dirac gas Inodel using Ebners expression
for V(k) which was deduced froIn spin diffusion predicts an In(X)In3
in agreeInent with experiInent These values of In(X)In are used in3
the specific heat of a FerIni-Dirac gas which then correctly predicts 3 4
specific heat of He in He at all teInperatures In addition this Inodel
gives the correct concentration dependence of the phase separation
teInperature
The present definitions (10) and (13) for 1-13 and 1-13 deg result in large
negative values for these terInS at T = OOK due to the quantity L3 o In
addition any uncertainty associated with L3 deg appears in 1-13 and 1-1 0 The3
bull
absolute value of cheInical potential in any systeIn is arbitrary and it
Inakes nUInerical cOInputations siInpler if JI and JI are changed by a3 3
0
constant valu~ The terIns JI3
and JI deg are now redefined by adding L3 deg 3
to the right sides of (10) and (13) The new definitions then becoIne
JI3 (X T) =JI (X T) + JI3
I (X) + L3 deg (10)f
and
T
1-13 deg (T) = JT
C3deg dT - T J (C degT) dT3 o o
(13 )
17
04 bull
03
f- t shy
02
01
c
o 1fft et 01
EXPERIMENTAL C pounddttords et 01
O~~---L----~----~----~----~----~----~----~----~ O~ 008 010 012 014
X 3
Figure 5 The Phase Separation Temperature as a Function of He Concentration
18
Table 2
The Phase Separation Temperature or Solubility Curve for Dilute Solutions of He3 - He 4
X T X T (OK) (OK)
006400 00 0090 o 1946
006404 000946 0095 02129
00641 001486 010 O 2301
00642 00208 O 11 02616
00643 O 0253 O 12 02902
00645 00323 013 03166
00647 00377 014 03412
0065 00445 015 03644
0066 00606 016 03863
0067 00721 017 04072
0068 00817 018 04272
0070 00970 020 04647
0072 01102 0225 O 5075
0074 01223 025 05460
0078 O 1436 0275 O 5809
0082 01618 030 06097
0086 01789
19
where 1-1 t 3 is now shown as a function of X only The term 1-13 0 now beshy3
comes zero at T = 0 oK The entropy and enthalpy of He in He40 are
taken as
T [ _ S3(X T) = Sf (X T) = J C (X T)TJ dT (19)v
o
H (X T) =1-13 (X T) + TS (X T) = 1-13 (X) + L3deg + H (X T)3 3 f
T
= 1-113 (X) + L 3 0 +RTf + (53) J C v (X T) d T (20) o
3 4The osmotic pressure n of He in liquid He can be determined
from the relation
n V = - (1-1 - 1-1 0 ) (21)4 4 4
which follows from altering an equation given by London et al [3] In
(21) the term V =V -X oV lox = 27 58 - 3 30 X3 cm3mole is the4 m m
4partial molar volume of He in solution and is only slightly different than
4V 4 0 The right side of (21) is the difference in the He chemical potentialbull
4 4between He in solution and pure He and is easily evaluated from the
Gibbs-Duhem equation for constant temperature and pressure
dl-13 dl-14 (22)X - + (1 - X) - =0
dX dX
In integral form (22) becomes
XJ X (23)1-14 - 1-14 o -- - 1 _ X dl-13 o
20
which upon substitution into (20) yields
(24)
The integral is easily evaluated numerically since J is known as a3
function of X from (lot)
3 4 32 Properties of the Total He - He Solution
Up to now consideration has been given only to the thermodynamic 3 4properties of He in liquid He and not those of the total solution Howshy
3 ever in the case of the He - He
4 dilu~ion refrigerator operating in a 3
steady state the He contribution is all that is needed Ideally in this 3 4
refrigerator He diffuses through a stationary column of He so that the 4
He contribution is not needed for thermodynamic calculations For the
transient behavior of the dilution refrigerator or any other process where
the bulk liquid is involvedthe thermodynamic properties of the total
solution are needed The total specific heat and entropy are taken as [ 14]
(25)
(26)
where C 4 0 and S 4 0 are the specific heat and entropy of pure He4 Equashy
tions (25) and (26) are good approximations only for temperatures not too
close to the A point since the A point changes with concentration (see
fig 1) Below 1 0 K however C deg is very much smaller than C so the4 v
approximation is certainly good up to X = 03 for these temperatures At
1 5 D K the results for C from (25) begin to deviate considerably from
experiment [11] for X much above O 1
21
The enthalpy H (same as the internal energy U for the low temshy
peratures and pressures of interest here) can be calculated in three
different ways Unfortunately the results are not exactly the same in
each case The first method makes use of the relation
H = G + TS = X ~3 + (1 - X) ~4 + TS
= X H + (1 - X) (~ - ~ 0) + (1 - X) H 0 bull (27)3 4 4 4
To be consistent with (lOt) and (13 1)
rT H a = leo dT
3 J 3 (28) o
T H 0 = - L + L 0 +J C 0 dT (29 )
4 4 0
3 4 o
4where L 4 a is the heat of vaporization of pure He at 0 0 K The second
method uses
T H = Ho +J C dT (30)
o
0 0where H is the value of (27) at T = K The third method which is o
somewhat of a combination of the first two replaces H in (30) for o
X gt O 064 with the value of (27) on the phase separation curve instead of
at oaK The lower limit of the integral is also replaced by the phase
separation temperature The results obtained by this third method should
be a good compromise except for the fact that curves of H versus X for
constant T will have an abrupt change in slope at X = O 064 which would
be unrealistic The second method was chosen for these calculations
and will give the same results as the third method for X S 0064 Since
the theoretical behavior of C agrees so well with experimentthe resulting
22
values of H should be quite accurate at least for X s O 064 The second
method eliminates the abrupt change in slope at X = O 064but the result
for H above this concentration may not be quite so accurate The first
method suffers from the disadvantage that it relies entirely on the theoshy
retical behavior of ~3 and ~4 both of which are more uncertain than the
calculated C The difference in H caused by using the various methods
is only a few parts per thousand This difference is greatly magnified
however when the excess enthalpy
(31 )
is considered The first method can give values for HE which are 15 to
20 percent higher than the second method for large values of X This
difference is due mainly to a temperature dependence of -1 that is not 4
quite consistent with properties such as specific heat Possibly a small
temperature dependent term in ~3 I might correct this inconsistency
From (31) and (27) it is easy to see that at T = OOK HE is just (1 - X)
3 4The vapor pres sure of He - He solutions is found from a trial
and error solution of the equation
J
(32)
3where X is the He molar concentration in the vapor P3 deg is the vapor
3 pressur of pure He and the Bs are the second virial coefficients for
3 4 He and He from the work of Kilpatrick et al [22] Equation (32)
follows from a combination of expressions given by de Bruyn Ouboter
et al [23] A very good approximation for X at least for temperaturesv
23
above about O 5degK can be found from the theory of regular solutions In
this case [ 23]
X (1 - X) p 0 v
p 3 0 exp [ (W RT)(l- 2X)] (33 )
X (1 - X ) shyv 4
where p 0 = p deg exp (B p degRT) is the fugacity of the component i and W 1 1 11 1
is a constant taken to be WR = 1 37degK [24] The results of (33) for X v
are substituted into (32) to find p
The heat of vaporization of a binary solution can be treated as
either integral or differential depending on the conditions of vaporization
[ 25] When a quantity of liquid solution is completely vaporized so the
initial liquid concentration and final gas concentration are equal the
integral heat of vaporization is absorbed in the process This integral
heat of vaporization is ApX if the process is done at constant pressureand
A if done at constant temperature For the low pressures dealt withTX
here the gas phase can be treated as ideal and thus the enthalpy in both
the liquid and gas phase are independent of pressure The integral heats
of vaporization can then be written as
ApX + R(T - TI) = A =XL deg(T) + (I-X) L deg(T) - ~(X T)TX 3 4 (34)
where T is the final temperature in the constant pressure process and 3 4
L3 deg (T) and L deg(T) are the heats of vaporization of pure He and He at4
the temperature T The term -~ gives the deviation from the ideal
heat of vaporization and is just the negative of the excess enthalpy
If a mole of gas is formed from an infinite reservoir of liquidthe
heat absorbed is Avt the differential heat of vaporization In this proshy
cess the gas and liquid phase concentrations are different From the
work of Ruhemann [25]
24
E r E ( ) (X _ X) 0 H (X T) (35)+L-H X T - v oX J
The term in brackets gives the deviation from the ideal differential heat
of vaporization and will be denoted as AE vt
3 43 3 Applications to the He - He Dilution Refrigerator
A schematic diagram of the He3
- He4
dilution refrig~rator is 3
shown in figure 6 Nearly pure He gas leaves the vacuum pump at a 4
pressure of about 30 torr and passes through a pumped He bath which 3
condenses the He bull After passing through a flow limiting capillary the 3
liquid He is cooled by passing through the still and the heat exchanger 3
The pure He liquid enters the mixing chamber or mixer where it 3 4
floats on top of and is in equilibrium with a dilute solution of He in He bull 3
For very low temperatures the dilute solution contains 64 percent He bull
This 64 percent solution communicates with the solution in the still via
the return line in the heat exchanger For the solution in this return line to
be in mechanical equilibrium the chemical potential jJ4 must be the same
throughout the tube Since the te~perature of the still is higher than the
mixing chamber the concentration of the solution decreases as it apshy
proaches the still From results to be given later the concentration in
the still is about I percent for T 5 = o 6 0 K where T 5 is the still tempershy3
ature As this liquid vaporizes in the still nearly pure He is removed
from the solution provided of course superfluid film flow is greatly 3
restricted To complete the cycle the He gas is compressed to about
30 torr at room temperature and returned to the condenser As the conshy3
centration in the still is lowered He will diffuse from the 6 4 percent
solution in the mixing chamber through the heat exchanger to the still
25
He4
~J--~~
He4 -I He3
He3 VACUUM PUMP - 300 OK
CONDENSER 08 -12 OK
CAPILLARY
STILL 06-07 oK
HEAT EXCHANGER
MIXING CHAMBER
He4 shy QOI-QsoK 64 He3
He3
3 4Figure 6 SChematic Diagram of the He - He Dilution Refrigerator
26
3To preserve equilibrium in the mixing chamber He must pass from the
upper rich phase to the lower dilute phase to maintain a 64 percent conshy3
centration in the latter In so doing the He absorbs heat if the temperashy3
ture is kept constant As the He dIffuses through the nearly stationary 4 3
column of He in the heat exchanger it cools the incoming pure He
stream in the heat exchanger A thermodynamic analysis of the dilution 3 4
refrigerator in a steady state uses only the properties of the He in He 4
since the He is stationary in the ideal case
The heat absorption rate of the dilution refrigerator is of fundashy
mental importance to those interested in the capabilities First consider 3
the case where only pure He is circulated by the pump By treating the mixer as an open thermodynamic system this heat absorption rate Q in
the steady state at a temperature T can immediately be written as an
enthalpy difference
(36)
3where n 3 is the molar circulation rate of He the first term on the right
3 4is the enthalpy of He in He along the lower or dilute solubility curve
3and H3cT ) is the enthalpy of He in the incoming concentrated stream
i at temperature T When the mixer temperature is below about O 2 0 K
1 3
the concentrated phase is nearly pure He and so the incoming stream 3 c
must also be nearly pure He bull Thus H3 becomes equal to H deg Howshy3
ever at higher temperatures the concentrated phase in the mixer will 4 4
contain a certain amount of He It is possible for this He to diffuse up 3
the incoming He stream to cause some dilution above the mixer To
calculate the heat absorption in the mixer the concentration of the stream
just as it leaves the last heat exchanger must be known If the velocity of 3 4
the incoming He stream is high enough He will be prevented from
27
diffusing up as high as the heat exchanger E~pressed analytically the 3 bull
stream leaving the heat exchanger will be pure He for n3 LVmDA raquo 1
whereas for ~ 3 LVmDA laquo 1 the stream will have the same composition
as the concentrated phase in the mixer In this expression L is the
length of tubing from the last heat exchanger to the mixer V is the m
molar volume of the incoming stream D is the diffusion coefficient of 4 3
He in He and A is the cross-sectional area of the tube In practice
something between the two extremes most likely will occur The enthalpy
3 l H 4 h d I 1o f He 1n a so utlon conta 1n1ng some e 1S rat er uncerta1n an so 1tt e 4
can be said about the heat absorption in the extreme where the He easily
diffuses up to the heat exchanger However from the work of de Bruyn 3
Ouboter et ale [11] it looks as though the enthalpy of He in the incoming
stream at about O 6degK will be on the order of 10 percent higher than H3 o
The difference between H3 c and H3 deg decreases to zero at about O 2 deg K
Equation (36) should be very accurate when H3c can be taken as
H3 deg since H3 is known very well along the solubility curve Though in
principle H3 (X T) can be found from (20)an alternative method fort
temperatures of O 1 deg K and below has been chosen If the incoming pure 3
He stream is at the same temperature as the dilute solution then the
process is reversible The heat absorption is then given as
Qr(T)~3 == T[8 (X T) -8 deg(T)] (37)3 t 3
from which it follows that
H 3 (Xt T) == Qr(T)n 3 + H3deg(T) == T[ 8 (X T) -8 deg(T)] + H deg(T)
3 t 3 3
(38)
Values of H3 and 8 along the solubility curve are obtained by second3
order interpolation in tables of H3 and 8 as functions of X and T Howshy3
ever interpolation in the 8 table is much more precise than that of the3
28
H 3 table for temperature of O 1 oK and below This is because J r + L3 deg 3
and RTf in H3 are very large numbers which cancel each other exactly
at OOK on the solubility curve Their resulting contribution to H3 slightly
above OOK on the solubility curve is subject to considerable error unless
both terms are evaluated to a great number of places Thus H3 (X-t T)
is evaluated from (38) for temperatures of O 1 OK and below Above T
O lOK (53)I C dT is the dominating term in H3 and so H3 (Xf T) is V
oaccurately obtained by interpolation in the H3 table Values for H3 deg (T )
iare taken from Appendix B
4In the case where the gas circulated contains some He the calshy
culation of heat absorption can become very complex especially at temshy
peratures above about O 2 OK Since operation of the refrigerator above
this temperature is of limited interest analysis of the heat absorption at
these temperatures will not be made Below about 02 OK the amount of 3
pure He available for refrigeration is reduced to
(39)
where X t is the concentration of the dilute phase at the temperature T i 3
n is the number of moles of gas mixture circulated and X is the He conshy
centration in the circulated gas The dilute solution already separated
out at T will contain 1
( 1 - X)n 3t =nXt 1 - X (40)t
3 4moles of He bull Neglecting the very small He contribution the heat absorpshy
tion rate in the mixer per mole of gas m~ circulated can be written as
29
middot Q(TT) 1 r X - X t ) 1 - X J
o = X H3 (XtT) -L(l _ X H3deg (Ti)+X 1 _ X )H3 (X Ti )n t tA A
(41 )
where all the X t inside the brackets must be evaluated at T i
For low flow impedences in the dilute stream between the mixer
and stillthe solution will be in mechanical equilibrium throughout its length
This equilibrium condition is expressed by ~4 = constant and from (21 )this
implies that the osmotic pressure must be constant at least for low
temperatures where d~4 deg dT is extremely small and for low concentrashygt
tions where V 4 is nearly constant At higher temperatures (T O 5degK)rJ
the change of ~ 4 deg with temperature must be taken into account When
this is done the condition ~4 = constant then is equivalent to IT + p f =
constant for small X where IT is the osmotic pressure and P is thef
4fountain pressure of pure He defined and calculated from (80) in Appenshy
dix B For high concentrations the condition IT + p f = constant does not
hold exactly since V 4 in (21) changes slightly with concentration However
the difference in V 4 between X = 0 and X = O 3 is only O 3 percent Given
a temperature and concentration in the mixer the concentration anywhere
in the heat exchanger or still may be found from curves of the osmotic plus
fountain pressure or to be exact curves of ~4 In practice a small 3
gradient in the osmotic pres sure must exist to drive the He through the
heat exchanger and may not always be negligible The calculated conshy
centration in the still then represents an upper limit and the deviation
from this value can be found if the flow impedance of the heat exchanger
is knowno Fourth order interpolations can be carried out in a table of
~4 to find the concentration as a function of temperature Once the conshy3
centration in the heat exchanger is known the entropy of He anywhere
along it is easily found from fourth order interpolation in the S 3 table 3
The specific heat of the He at constant ~ designated as C is then 4 ~4
30
given as 08
1 3 ) (42)CjJ = T ~ aT
4 1-L4= const
The differentiation of S 3 is carried out after fitting the data for S 3 at
constant 114 with a third order polynominal in T It should be obvious
that C will be a function of the mixer temperature as well as the local ~4
temperature since the former determines the osmotic pres sure in the
system
The vapor pres sure and vapor concentration in the still as a
function of both still and mixer temperature can be easily found from
interpolation in the p and X tables using values of X in the still as detershyv
mined from the condition 114 = constant in the dilute stream The heat QS
required to vaporize a mole of liquid in the still has contributions from 3 4
both the He and the He vaporized Because of the large heat of vaporishy
zation of He4 this contribution which is given by (1 - Xv) L deg(T) can4
3 not be neglected The He contribution is Xv L (T) where L (T) is just
3 33
the difference between the enthalpy of He in the saturated vapor and in 3
the dilute liquid The He vapor enthalpy can be written as H3 deg (T)
+ L deg(T) From this it immediately follows that3
(43)
where
(44)
is the deviation from the ideal heat of vaporization and n is the gas flow rate
The interface between the dilute and concentrated solutions must
remain in the mixing chamber if the refrigerator is to operate properly
Thus it is important to examine just where this interface will be for all
31
possible sets of conditions The assumption is made at this point that
the liquid volumes in the heat exchanger and condenser are negligible
compared with the volume of both the still and mixing chamber The
volume of the still containing liquid immediately after the initial filling
and before circulation begins is written as
v = r V (45)s mc
where V is the total volume of liquid in the mixing chamber If the mc
whole system is filled initially with n moles of solution at a concentration
of X then the initial volume of liquid is o
o n V = V + V = V (1 + r) (46)
m mc s mc
where V 0 is the molar volume V of the solution from (5) for a con-m m
centration of X During operation of the refrigerator phase separationo
occurs in the mixer and h is the fraction of mixer volume occupied bym
the dilute solution The total volume of solution during operation will be
different than the initial volume which then results in a change in liquid
level in the still Let the ratio of present to initial volume of liquid in
the still be h Both hand h are found from a solution of the simultashys m s
neous equations
(1 - h ) V X Iv u + h V X p Iv t + h r V X Iv s = nX m mc u m m mc V m s mc s m 0
(47)
(1 - h ) V Iv u + h V Iv t + h r V Iv s = n m mc m m mc m s mc m
(48)
where the subscripts and superscripts u t and s on X and V refer to m
the concentration and molar volume in the upper concentrated phase of
the mixer in the lower dilute phase of the mixer and in the still The
32
3first equation represents the total number of moles of He in the system
and the second gives the total moles of solution Substituting (46) into
these two equations yields
rX (1 + r) X XXt Xu s o u ( - --) h + h =----shy (49)
s s o uV t V u m V V V m m m m m
h = (1 + r) 1 (50)
s s o u V V
m m
after rearranging The values used for X are given in Appendix C u
Problems associated with the heat exchanger can be eliminated by
operating the refrigerator in a single -cycle process In this case the heat 3
exchanger is unnecessary since pure He is not returned to the mixer
Vilches and Wheatley [5] have reached O 0045deg K with this method and 3
maintained it for about an hour before depleting the He bull The proce s s is
reversible and thus for isothermal operation the heat absorption is simply
given by (37) However for T gt 0 0 1 0 K the term S3 deg should be replaced by 3
the entropy per mole of He along the solubility curve for the concentrated
phase although the difference is significant only for temperatures above lt
about 02 or 03degK For T 001 OK it is evident from (38) that (37) beshy
comes identical to H3 (Xt T) - H3 deg (T) = Q(T T)~ 3 which is the maxishy
mum value of Q(T T i)~ 3 and is a fairly good approximation for temshy
peratures up to about O 2 or O 3 deg K The greater refrigeration rate is
gained only at the expense of sacrificing the continuous nature of the 3
dilution refrigerator The amount of He remaining in the mixer after
the lowest temperature is reached is important to know thus analysis
of the transient mode is needed The natural assumption is made that
the heat capacity of the mixing chamber itself is negligible compared with
33
11
I
III
the solution Unless a large amount of cerium magnesium nitrate is used
as the thermometer the as sumption is very g~od Again by treating the
mixer as an open thermodynamic system the change in entropy of the
total system can be expressed as
oQ (51)d8t = T + on 8 J3 3
where oQ is the increment of heat absorbed for the incremental change 3
on of He in the system Equation (51) can also be put in the form3
d8
Qn3 =T-t_8) (52)dn 3
3
where Q is the heat input rate and ~ 3 the molar rate of change of He3
in 3
the mixer- and 8 is the He entropy along the dilute solubility curve3
If n is the number of moles of dilute solution and if the concentrated t 3 lt
solution is assumed to be essentially pure He (T O l5degK) then
8 t = n t 8 + n3 8 3 0
J (53)
where 8 is the molar entropy of the dilute solution from (26) The
derivative becomes
dS t OS dT dnt d8 3 deg dT 0
T dn = n t T OT)X dn + T8 dn + n3 T ciT dn3 + T833 3 3
e dT dnteo dT
= n -d + T8 -d + n3 -d + T8 0 (54)
11 n3 n3 3 n3 3
The mere process of cooling the liquid will automatically cause a small 3
transfer of He from the dilute to the concentrated phase This is evident
from application of the leverage rule to the phase diagram For tempershy
atures les s than about O 15 0 K this effect is quite small and so dnt l dn3
is
34
taken to be zero One calculation was made for a starting temperature
of O 3 oK In this case dnedn was still taken as zero but the value for C3
-1 -1 was taken as [7] C = 64T joules mole deg for a 124 percent solution
below 03 oK instead of using a 64 percent solution Combining (54) and
(52) yields the normalized equation
dT 03 + T (S3- S3deg) (55)
d(n n ) - (ntno) C + (n n ) C deg 3 o 3 o 3
3where n is the original number of moles of pure He in the mixer The
o term T(S3- S3deg) is the same as H (X T) - H deg(T) for T lt O 10K
3 t 3 Equation (55) was solved numerically for T as a function of n3no with
several different values for ntno and 6~ 3 In choosing values for
6~ 3 a value for the ultimate temperature to be reached is picked and
-6~ 3 is set equal to T(S3- S3deg) at that temperature
3When all the pure He is extracted from the mixer continued
3pumping will then begin to remove He from the remaining dilute solution
The obvious question is will this continue to produce a refrigeration effect 3
As the concentration of He in the dilute phase is reducedthe osmotic
pressure is lowered thus work is being done by the system Since the
process is reversible (52) also describes the behavior in this case
However S now becomes t
S t =n3 S 3 + n 4 S 4 deg (56)
so that
(57)
The term n3 dS dn can also be expressed as3 3
35
dS 3 i 08 3 dX oS3 dT n3 dn
3 =n3 oX JT dn
3 + n3 aT)Xdn3
08 3 C 3 dT] = X (1 - X) [ oX) + T dX
T (58)
where the relation X = n3(n + n4) has been used When (58) is entered3
into (57) (52) may be written as
oS bull bull - I 3 dT ]Qn 3 = X (1 - X) LT
oX)
T+ C 3 dX
(59)
3The term (oS3oX)T is always negative and so heat is given off when He
is added to the system (xi 3 gt0) but heat is absorbed during removal of
He3 (~3 lt 0) Since S3 approaches infinity as X decreases to zero the
limit -0 3 00 as X 0 must follow for T =constant However the 3
total isothermal heat absorption per mole of He originally in solution
when going from the concentration Xi to X f given by
l X oS i - Xi r f X (_3) dX
bQno = T x ) j X 1 - X oX T 1
1 (60)
has a finite value for X 0 This is so because S3 increases only asf
-23X for X o
Cooling may als 0 be accomplished by adding pure He4 to a dilute 4
solution through a superleak If the incoming He is at the same tempershy
ature as the dilute solution then the process also would be reversible
In the reversible cc-se the heat absorbed is also given by (52) but with S3
replaced by S 4 0 and n3 replaced by n bull From the system entropy in (56)4
the derivative becomes
36
(61)
which then leads to a heat absorption rate of
bull 2 r (deg53) dT ]Qn 4 = - X l oX + C 3 dX
T (62)
Even though (62) is always less than (59) n is not limited by a pumping
4 rate and therefore can be made much larger than rl Hence Q could be
34
made larger in this second case where He is added to the solution comshy3
pared with the case where He is removed from the solution However 4
in practice the incoming He will always be at a temperature T which is 1
higher than T This reduces the refrigeration rate to
(63)
4where the last term in brackets represents the heat load in cooling the He
3from T to T The total heat absorbed per mole of He in solution when
1
going from the concentration Xi to X at T = constant is thenf
~Qn3 = T[5 (X T) - 5 (X T)] - [(Xi - Xf)X X ] [H deg(T ) - H deg(T)] bull3 f 3 i i f 4 i 4
(64)
For Ti = T this expression approaches infinity as X goes to zero Forf
X laquoXi the last term in (64) becomes (1X )[H deg(T ) - H deg(T)]f f 4 i 4
4 Results and Discussion 3 4
4 1 Properties of He in Liquid He 3 4
The entropy of He in He calculated from (19) is shown in
figure 7 as a function of temperature for various values of X The
37
50 M gt1
40
TO Q)
0
I~ 30 0 E en Q)
J 0
J
gtshya 200 a r z w
pure He3
o 01 02 03 04 T oK
3Figure 7 The Entropy of He in Liqui~He 4
as a Function of Temperature for Various He Concentrations
38
3 entropy of pure He is also shown for comparison All the properties of
4 3He 3in He are listed as per mole of He Of special interest is the entropy
for X = O 064 in the low temperature limit which is given as 53 = 107 2 T
joules deg-1 mole -1 This expression is good to within 1 percent for temshy
peratures up to about 004degK For those interested in more precise
values 53 is listed in Table 7 of Appendix D along with values of (05 oXT3
-4for temperatures below 1 5degK and X between 10 and 03 The horizontal
line drawn in the columns for X gt O 064 indicates the location of the solushy
bility curve The only uncertainty in 53 comes from the specific heat The
weakly interacting Fermi-Dirac gas model fits the measured specific heat
to within experimental error thus the experimental uncertainty of about
1 - - 2 percent is all that carries over to the calculated specific heat and
entropy The ideal Fermi-Dirac gas chemical potential IJ is listed inf
Table 8 since it may be useful for certain calculations
The enthalpy H3 from (20) is shown in figure 8 and also compared
with H3 0 Again more precise values are listed in Table 9 of Appendix D
It is evident from figure 8 that (oH oXT changes sign at about 02degK and3
that H3 for X lt O 064 becomes less than H3 deg for temperatures below O IOK
The effect of these two occurrences on the dilution refrigerator will be disshy
cussed in section 43 The enthalpy values contain an additional uncertainty
not found in the specific heat and entropy namely the uncertainty in
1-l3 r It can be speculated that the resulting uncertainty in H3 for high
temperatures will never be larger than the order of 5 percent The
greatest uncertainty will be for lar ge concentrations For concentrations
much less than 64 percent the error in H3 should be less than about
02 joulesmole at all temperatures On and very near the solubility
curve H3 will be nearly as accurate as the specific heat and entropy
The osmotic pressure has been evaluated from (24) The results
are shown in figure 9 and listed in Table 10 of Appendix D Table 10
39
8
Hi 0 57
~~------~------~~------~------~------~------~--------~----~
6 0 E shyen CI)
J 0
-)
4 gtshya J ltt J t-Z lampJ
2
o
Figure 8
01 02 T oK
03
The Enthalpy of He3
in Liqui~ He4
as a Function of Temperature for Various He Concentrations
04
40
-2
--------------------
IOOO
r----~~--r_~~~~~~----~--_r--r_r_~~~------r_--r__r~~_
IOO
J--
A
V~~~
-~
~
IDE
AL
FE
RM
I-D
IRA
C G
AS
X
=0
64
_
---
X=
0
64
10
X
=O
shy 0 ~
X=
OI
~
01
01
laquo
I
001
1
0
Fig
ure
9
01
01
T o
K
3 4
Th
e O
smo
tic P
ressu
re o
f H
e in
Liq
uid
He
as
a F
un
cti
on
of
Tem
pera
ture
fo
r V
ari
ou
s H
e3
Co
ncen
trati
on
s
also lists values for the expression -[ IJ4(X T) -1l O(T=O)] The fountain4
pressure Pf is shown in figure 9 for comparison with the osmotic pressure
The dashed line in the figure represents the osmotic pressure of a 64 3
percent solution if the He is treated as an ideal or non-interacting Fermishy
Dirac gas In that case IT is given as ITv = 23 U where U is the internalf f
energy of the ideal Fermi-Dirac gas It is evident that even weak intershy
actions can change the osmotic pressure considerably The limiting
values of IT at low temperatures are strongly dependent on the shape of
the (-1J r - L deg)R curve below X = 0064 andconsequently contain fairly3 3
large uncertainties perhaps the order of 10 percent Measurements of
the osmotic pressure for temperatures somewhat les s than T f would then
be extremely useful in determining the exact behavior of 1l3 I and the intershy
actions The classical expression [3] for the osmotic pressure
E TI V 4 = - RT tn(l - X) - iJ 4
(65)
4where 1l E is the excess chemical potential of He in the liquid solution
4 has been used in the past [3] for high temperatures The term 1l E conshy
4 tributes only a very small part to IT at these temperatures and thus IT
is nearly proportional to T For temperatures less than the order of
T f quantum effects come into play and prevent IT from going to zero at
T = OOK It is instructive to compare the calculated values of IT with exshy
perimental results at temperatures of O 8degK and above The comparison E
is most effective if 114 is observed instead of IIbecause any differences
in IT would be greatly magnified in 1lE
bull Figure 10 shows values of 1lER
4 4 calculated by (65) from the theoretical results for II V 4 The dashed lines
give two typical experimental values [ 3 24] for a temperature of 08 degK
The lack of agreement indicates more experimental results are needed
before any conclusion can be made about the reliability of the calculated
42
005~------------~------------~-------------------------------------------------------------------~
004
003
002
001
T 0 OK
-001
10
04
Data of London et of (T 08 OK)
o -=-- - 02
01
o 001 002 003
4Figure 10 Behavior of the Excess He Chemical Potential as Deduced
from the Osmotic Pressure of He 3 in He4 bull
43
II although the uncertainty in II is approximately an order of magnitude
less than that of 1-14 E R
3 44 2 Properties of the Total He - He Solution
Tables 11 through 13 of Appendix D list the specific heat entropy 3 4
enthalpy and excess enthalpy for the total He - He solution These 3
results are listed as per mole of solution instead of per mole of He as
in the previous section Figure 11 compares the values of HE calculated
from (31) with experimental results Lll 26] In general the agreement
is very good except for high temperatures and concentrations which is
to be expected from the model used here It is interesting to note that
HE becomes negative for temperatures les s than about O 15deg K This
inversion temperature is shown as a function of X in figure 16 (p 55)
denoted as curve ll Below this temperature heating rather than coolshy3 4
ing occurs when pure He and He are mixed together to form a solution
This result of course has no bearing on the dilution refrigerator since
in that case it is not the pure components which are mixed together The
reverse process separating a mixture into its two pure components
does produce some refrigeration and will be discussed in detail in section
43
3 4The vapor pressure of the He - He solutions as derived from
(32) are shown in figure 12 and listed in Table 14 The results in
figure 12 show the ratio PP3deg so that curves for several temperatures
can be included on one graph Again there is good agreement with exshy
perimental results L27] The experimental curve shown for O 4degK was
taken as the vapor pressure of the concentrated phase given approxishy
mately by P = Xu P3deg The vapor composition used in the calculation of
P is listed in Table 15 Fortunately X is not very sensitive to WR for v
X larger than about O 5 v
44
Q)-o E
fh Q)
l o ~
--------- T =OOK
-Ol~~--~~--~~--~--~~--~~--~~--~~~~~
08
06
04
02
o
I et 0 I
--0--de Bruyn Ouboter I 115degK
rJ Sommers et 0 I T = 102deg K II
- This Work I I
I I
I I
I cent I
I I
I I
I I
I I
I I
I I
I I
I I
I I
I l
~~~___________ a
02
o 005 010 015 x
3 4Figure 11 The Excess Enthalpy of He - He Solutions as a Function
of He 3 Concentration for Various Temperatures
45
10 r------__--------------------
08
OS
o~ a
0
OA
010
O8degK 005 02
r 0 o 001 Q02
o 01 02 03
This Work
--- Experimentol
fill 015
x 3 4
Figure 12 The Vapor Pressure of He - He Solutions Divided by the Vapor Pres sure of Pure He 3 as a Function of He 3
Concentration for Various TeITlperatures
46
The differential heat of vaporization A is derived from (35) and vt
the term A E vt which represents the deviation from the ideal differential
heat of vaporization is plotted as a function of X in figure 13 The dash-v
ed part of the curves are in the region of X gt 03 and so represent intershy
polations The as sumption was made previously that the solutions could be
treated by regular solution theory to find X from a given value of X at the v
temperature T The relationship between X and X is therefore subjectedv
to some uncertainty especially for X less than about O 5 The term E v
A II from (35) uses both X and X which would appear to cause an unshyv~ v
Ecertainty in A However the term ~ in (35) is very nearly linear in
vt E
X which results in A being practically independent of X Thus for a vt
given value of X the uncertainty-in AE is nearly removed The directII
v ~ E experimental results of Sommers [28] and results deduced from H
data [11] are also shown in figure 13 for comparison
3 44 3 Applications to the He - He Dilution Refrigerator
The enthalpy H3 (X T) and entropy S3 (X T) along the lower t t
solubility curve are listed in Table 16 The maximum heat absorption
rate Q(T T)~3 calculated from (36) is also listed and applies to the case 3
where only pure He is circulated Plots of H3 (Xt T) H3 deg (T) and
Q(T T)~3 are given in figures l4a and 14b For temperatures less
than about O 04degK the expressions
Q(T T)n3 = 82 T2 joulesmole He 3 (66) I
fit the results within 1 percent These numbers are somewhat smaller
than those given previously by this author [ 29] since the binding energy
E was changed to fit the latest results [9] on the solubility curve The o experimental behavior of Q(T T)n is (83 plusmn 4) T2 joulesmole He 3
3
47
o -I
-2
-3cu
0 E
en
-4
cu
J
0 J -5
~
-t0
0
111
gt
lt
-6
-7
-s
-9 I
I I
I I
I
I
I I
I
a 0
1 0
2 0
3 0
4 0
5 0
6 0
7 O
S 0
9 1
0
I E
xper
imen
tal
I
Xv
Fig
ure
13
T
he D
ev
iati
on
fro
m t
he I
deal
Dif
fere
nti
al
Heat
of
Vap
ori
zati
on
of
He
3 -
He
4 S
olu
tio
ns
5
Q)
o E (J) 2 Q)
J o J
1 f 1( ~
IJ I I
IV J J
j I IJ
J
IV I H3 (Xl T) 1 I
~ I OfT T) 113 V I
L1 I J
IX J H3O(T)II I
I J II IJ
1 I IJ I I I(
II I JIfj I
1 V III V
J
2
2 5 2 5
Figure 14a Plots of H (X T) H (T) and O(T T)~ 3 =H (X T3 t 3 3 t
- H3 0 (T) for Low Temperatures
49
10
5
2
~lcP o E
fI) Q) 5 J o
J
gt-~
Q 2 -J lt c t- _I 210 W
5
2
-210 10 2 5 101 2 5 10deg 2
J II-2
I III i
IJ i V
II Ifj
H3 (X T)
J
JJ
~ h
JV W
JV
II rl
J I(
V 1
J
rj
J V
L
~
V~ ~ I
J
II
~ I ih ~I
J V Ill
W II j V
J LI 1 f
IJI( Jt Q(TT) h3 j
V )
(HffTJ
I 1
I 1
I JI
1
I
I
T oK
Figure 14b Plots of H3 (Xt T) H3 (T) and a(T T)~ 3 for High
TeITIperatures
50
3Peshkov [ 10] gave the value 100 T2 joulesmole He from his calculations
using X = 005 as the limiting solubility The same result would be
reached in the present work by considering a 5 percent solution Vilches 2
and Wheatley [5] also derlved the value 82 T but 59 percent was used
as the limiting solubility The uncertainty of the present results beshy
tween O 004degK and O 2degK for H 3
(X-f T) and Q(T T)~ 3 are estimated to
be about 2 percent judging from the experimental uncertainties in C 3
C3
0 and the solubility curve Above O 2degK the accuracy may not be
quite as good
For temperatures less than about O OlooK considerable uncershy
tainty exists in C deg According to Balian and Fredkin [30] the limiting3
temperature dependence of C deg should have the form C oT = 3 3
A [-fn(BT)] 12 The experimental results [31] below O OlooK neither
confirm nor deny this temperature dependence If this form is correct
then at sufficiently low temperatures Q(T T)ri would become zero though3
-6 temperatures less than 10 oK would probably be required A more
recent theory [32] shows that C degT approaches a constant value at3
3T = OOK A transition of He to a superfluid phase in either the pure or
dilute liquid would also alter the present analysis below the transition
temperature However neither of these effects should change the presshy
ent calculations at O 004 0 K and above
It is obvious from the curves in figures l4a and 14b that the 3
incoming pure He can be at a much higher temperature than the outgoing 3
dilute He and still provide refrigeration It can be deduced from (66)
that for temperatures less than about O 04degK the refrigeration power
goes to zero when (T T) = O 36 where T is the temperature of m 1 Q=O m
the mixer More exact values of this ratio are given in Table 16 and
are slightly dependent on T bull For small residual heat leaJlts the limiting m
temperature of the mixer is thus determined solely by the inlet
51
3 temperature of the pure He For example if the residual heat leak is
5about 1 ergmin or less for a circulation rate of about 2 x 10- moles
sec then the mixer will reach O 005degK for an inlet temperature of
0014degK Unfortunately heat transfer at these low temperatures beshy
comes very poor and it looks as though considerable research on heat
exchanger properties and design are required to reduce the temperature 3
of the incoming He to this low value
4 3Any He in the incoming He stream will reduce the refrigeration
effect as given by (41) for temperatures below about 02degK For temshy4
peratures of O 040 0 K and below the influence of He is easily evaluated
since H (Xf T) and H deg(T ) can be represented as in (66) Figure 153 3 i
3shows how the concentration of He in the circulated gas stream can
affect the refrigeration capacity in the mixer The figure shows plots of 2 2
(QT m)X obtained from (41) normalized by the quantity (QT m )X= 1
for various values of the ratio T T Values of T T near 1 0 can m 1 m 1
only be achieved with nearly perfect heat exchangers something quite
difficult at very low temperatures If it is assumed that the presence 4
of He has no effect on the heat exchange properties then T and T 1 m
will remain the same for all X and the curves will then show the ratio
(Q)X(Q)X=l The dashed line in this figure represents the reduction in
refrigeration capacity which would be due only to a reduced amount of 3
He bull Obviously this curve is quite different than the more exact curves
especially for low values of T T Most of this difference is due to m 1
the fact that some dilute phase with its very high heat capacity must be 4
cooled from T to T whenever He is present in the incoming stream 1 m
From the curves shown in figure 15 it is easy to see the importance of 4
eliminating He from the gas stream particularly at low temperatures
where T T will be low and near its ultimate value The other curve m 1 3
in figure 15 shows how the ratio (T T)Q 0 varies with the He m 1 =
52
01
V
J
IDmiddot
bull
08
06
04
02 o
02
0
4 0
6 0
8 1
0 x
Fig
ure
15
Th
e R
ati
o o
f M
ixer
Tem
pera
ture
to
In
let
Tem
pera
ture
fo
r Z
ero
Po
wer
Inp
ut
an
d t
he R
ati
o Q
T2
as
a F
un
cti
on
of
He
3 C
on
cen
trati
on
in
th
e C
ircu
late
d G
as
m
4concentration in the gas stream The effect of He on this ratio is
fairly small for less than about 50 percent He4
It will now be shown that the fractional change in T itself is m
only slightly larger than the fractional change in the ratio (T IT)a-om 1 -
This fact can only be found from an analysis of the heat exchanger A
system of several individual heat exchangers of the type used by Vilches
and Wheatley L4] will be assumed but only the lowest temperature heat
exchanger will need to be analyzed In the ideal case both the dilute and
concentrated streams will leave the lower heat exchanger at the same
temperature T The dilute and concentrated streams enter the heat 1
exchanger at the temperature Tm and Tb respectively At low temperashy-1
tures the specific heat of the two streams are C = 107 T joules mole -1 -1 -1 ~4
deg and C = 25 T joules mole ieg bull A heat balance is then made3
0
on the heat exchanger which leads to the condition
2 dT T dT
1 = O 81 (~) m (67)T T T
1 1 m
For T IT = O 36 this becomes dT T = O 11 dT IT Therefore m 1 11m m
T changes very little for a change in T and the fractional change in 1 m
T will be only about 11 percent larger than the fractional change in the m
ratio (TmTi)a=Oat least for (TmTi)a=O near 036 The ratio
(T IT )a decreases by about 7 5 percent when going from X = 075 to m 1 =0
X = 1 0 so T will decrease by about 83 percent for this change in X m
In the case where the two streams do not reach the same temperature in
the heat exchanger the change in T will be slightly less than in the m
ideal case
In figure 16 is shown the locus of points where H3 = H3 0 which 3
is designated the inversion curve III Diluting the He to any point below
54
05~----~------~----------------------
004
10
05 ------------------ o
006
002
PHASE SEPARATION
REGION
008
15 r---------------
04
03
o t shy
02
01
o
3 4Figure 16 Enthalpy Inversion Curves for He - He Solutions The
inset shows the high temperature end of the curve I
55
x
this curve without doing work results in a heating effect whereas above
this curve a cooling effect takes place This inversion curve I given by
(oH oX) = 0 is also shown in the same figure Below this curve the maxishy3
3 mum cooling effect is achieved by diluting the He no farther than the s olushy
3bility curve Above it maximum cooling occurs when the He is diluted as
much as possible but still remains above the curve 1 To prevent a loss
of refrigeration at temperatures below inversion curve I requires the 3
mixer to have a very small impedance for the flow of He so that dilution
below the solubility curve can not take place The technique of bringing
about extra dilution above curve I is discussed later The curve II in
figure 16 was mentioned in section 4 2 but for completenes s is restated 3 4
here Mixing pure He and pure He such that the resultant solution is at
a point below curve II results in heating whereas cooling results for a
point above curve II
The concentration in the dilute stream between mixer and still is
shown in figure 17 for various mixer temperatures These concentrashy
tions are for constant ~4 The specific heat C~4 of th~ He3
in the dilute
stream is shown in figure 18 also given for various mixer temperatures
For a mixer temperature of OOK the specific heat becomes C~4 = 1072 T
joules mole -1 deg -1 in the low temperature limit which is the same as
C for X = O 064 The classical value of 52 R would hold at high tempershy3
atures if the process was at constant IT instead of constant ~4 Values of
C~4 are useful in the design of heat exchangers and so are listed in Table
17 along with X and 8 for constant ~4 for several mixer temperatures3
The vapor pressure of the solution in the still is plotted in figure
19 as a function of still temperature with the mixer temperature as a
parameter The heat of vaporization of the liquid in the still and the
vapor composition (neglecting film flow) are both shown in figure 20
56
08
06
~
o
tshy~
04
02
PH
AS
E S
EP
AR
AT
ION
R
EG
ION
o 0
02
0
04
0
06
0
08
0
10
012
X
F
igu
re 1
7
Co
ncen
trati
on
Pro
file
s f
or
Co
nst
an
t J
4
TABLE 9
THE ENTHALIIY OF HE3 N HE4
H3 (JMOLE)
~ 00001 00002 00005 00010 00020 00030 00040 00050 00060 00080
ClO
0000 -210606 -208000 -202153 -194785 -1083391 -174107 -166024 -15e71 -152114 -140192 0001 0002 0003
-21002 -2~865
-211696
-20719 -206591 -205173
-111943 - 01329 -200368
-94652 -19425 -19361 i
- 83307 -183056 -182640
-174043 -173850 -173531
-16f)971 -1651111 -165547
-1511716 -1511578 -1511349
-52073 -151151 -151748
-140159 -140058 -139889
001l4 -2115134 -203543 -199 146 -192742 -82066 -173087 -165178 -158030 -151464 -139654
0006 -211285 -199965 -96198 -190460 -180476 -171839 -164 135 -157124 -150658 -13e9A4 0008 0010 0012 0014
-1Q7317 -1Q3291 -1J1923j -1R515ii
-196171 -192268 -188302 -18494
-192854 -189284 -85576 -181775
-18767Q -18456 -08122 -177727
-1711385 -175903 -73125 -170120
-170151 -168084 -165706 -163074
-162706 -160928 -158844 -156500
-15876 -154308 -15449 -150333
-149543 -148134 -146451 -144521
-138053 -1middot36870 -1035445 -133793
0016 -1A1054 -1110258 -177910 -1741111 -166940 -160235 -153937 -147995 -142368 -1031931 0018 0020 0075 0030
-1769411 -172834 -11I252 -1I219i
-176202 -172130 -161905 -151636
-173997 -170048 -160065 -149977
-170425 -16666 -157065 -147267
-163624 -160200 -151286 -142023
-157229 -1540 86 -145774 -136993
-151190 -148287 -140001 -132158
-140465 - 104279 -130448 -127500
-140022 -137504 -30596 -1n009
-129877 -127650 -121438 -114483
0035 -141850 -141340 -139823 -137341 -132528 -127894 -123424 -11QI05 -114927 -106962 0040 -141497 -131025 -129623 -1273211 -122869 -1111567 -114406 -110379 -106475 -09900 0015 -11l3 -120697 -19391 -117251 -113091 -109070 -105177 -101 401 -097736 -090711 0050 -110771 -110359 -109134 -107127 -103222 -099445 -095783 -0922211 -088774 -082144 000 -090029 -089661 -~8E1568 -0877 -083287 -079910 -07633 -07~448 -070349 -064389
0070 -09278 -068944 -067953 -066329 -063168 -060108 -057138 -054251 -051440 -046030 OOAO -049520 -048214 -047305 -045817 -0middot42923 -040122 -03 7404 -034762 -032190 -027241 0090 0100 0120
-0~7757 -Oii699i 04540
-027474 -006727
034782
-026634 -005945
035470
-025259 -004666
036595
-022586 -002182
038774
-020002 000218 04n874
-017496 002543 042905
-015061 004801 044874
-012691 (11)6991 046186
-001133 011218 050452
0140 076096 076304 076921 0779lt5 079866 081731 083531 08S273 086960 0Q0186 0160 01110
11 764shy159203
117837 159376
1 8394 59884
119301 1060711
121050 162300
122725 1631117
124338 165274
12158Q4 16676
127398 16A028
130266 170595
0200 2n0761 200920 201387 02145 203599 204983 206307 207578 208800 211112 0250 314663 304795 305182 305807 306996 308117 309182 310196 11l63 312972
0300 4n8571 408684 409012 409538 410531 411459 412331 413154 413932 415367 0350 0400 0450 0500
512485 6640[170]2n 8lt4240
512582 616486 720394 824305
512864 616730 720608 824493
h13313 6171111 720944 1124786
514154 617836 721561 825317
514Q31 618491 722115 1125785
515653 61 9093 722616 82c201
51328 619647 723070 826571
516Q58 1120157 723482 826899
51100 621deg3 724191 A27441
0550 928161 928lt19 928384 Q28641 929097 929491 929834 930131 930387 930786 0600 0650 0700 0750
1O~2084 1146007 12993 1343854
1032135 1136052 1239970 1343890
1032280 1136180 12 40084 143989
103t504 1136375 1240253 1344136
1032895 1136710 1240536 1344373
1033226 1136983 1240760 1344551
1033505 1131206 1240932 1344679
O33738 1137384 1241060 1344761
1033931 1137520 12411 47 1344804
1034205 1137684 1241212 1344781
01100 1447779 1447810 1447897 144AG23 1448219 1448356 1448443 14411485 14411487 1448383 0850 151704 1551731 1551807 1551914 1552073 1552112 1552221 155226 1552192 1552015 0900 1605629 1655653 1655718 16558011 1655932 Hbullbull 55997 1656012 165119114 1655915 1655672 0950 1000
17955 18f3480
1759576 1863498
1759631 1863545
1759705 U63604
1759797 1863667
1759831 1863672
1759815 11163627
1759755 18 63538
17t0655 lR63410
1759351 11163048
11(10 2071333 2071345 2071376 2071409 2071419 2071372 2071275 2071135 2070955 2070492 1200 1300
l7918 lt4A7030
2279194 2487043
2[179211 2487048
2279220 2487037
2gt791115 24F16962
2279092 2486828
2278950 248c646
22711764 2486421
2278540 2486157
2271Q88 2485527
1400 1500
69489 29n2747
2694893 2902744
2694887 2902728
26948511 2902683
2694747 2902540
2694578 2902338
2694360 2902089
2694100 290796
2693801 2901466
2693100 2900702
Page 101
TABLE 9 laquoCONTINUED)
HJ IJMOLE)
T~X 001011 1)0150 00200 00250 00300 00350 00400 00411i0 00500 005-0
flO
0000 -19~4 -107331 -088986 -073383 -059844 -047941 -037382 -027953 -019495 -011881 0001 -19612 -101308 -n88967 -il73367 -059~30 -047928 -037370 -027942 -019484 -011871 0002 00113
-19524 -19H9
-107lt41 -10729
-n88912 -ii88~118
-07331t -073238
-059786 -059715
-047889 -047824
-037334 -037274
-027908 -027853
-laquo)19453 -1119401
-0l1i4i -011793
001)4 -1gt9175 -106972 -ii88688 -073125 -059614 -047733 -03790 -027775 -019328 -011724
0006 -118590 -06525 -088317 -072802 -059327 -047472 -036951 -027553 -019120 -0011528 0008 0010 0012
-17787 -1gt757 -1gt5516
-105902 -105103 -104133
-ii87797 -~ 8732-086321
-1172352 -071 774 -071069
-058925 -0011410 -057782
-047108 -046640 -046070
-036616 -036186 -03MI
-027241 -02842 -026354
-018828 -1118454 -017998
-Ol1254 -010901 -010470
0014 -1gt057 -102994 -ii853611 -070239 -057041 -045397 -035041 -025779 -617458 -009962
0016 -1gt2409 -11)1692 -084274 -069286 -056189 -044622 -034329 -025116 -016837 -009377 0018 0020
-1105711 -118076
-100233 -098622
-083043 ii81678
-068210 -067015
-055227 -054157
-043747 -04gt773
-033523 -03224
-024366 -02J530
-1116135 -1115351
-0oa74 -007975
0025 -1 i2920 -093983 -071710 -063522 -051018 -039910 -029982 -021069 -013042 -000796 0030 -1n650 -088571 -073012 -059300 -047248 -036458 -026788 -018089 -010242 -003150
0035 -099117(1 -1182512 -067670 -054559 -042891 -032450 -023067 -014609 -006967 -000052 00110 0045 0000 0060
-091956 -0114059 -075852 00872
-075911 -068859 -061431 -0 45675
-ij61772 -ii55396 -~48607 -034016
-1149215 -laquo)43385 -0371ZA -023534
-nn996 -0J2617 -0gt6806 -014069
-027925 -022924 -017492 -005500
-0lBe51 -014172 -009067
002274
-010654 -006252 -0oi432
009334
-11113237 ) 00926 005497 015751
003484 0middot07438 011798 02584
0070 -0088) -029007 -018365 -00877A -1)00107 007758 01 4901 021 397 027304 032674 0080 0090 0100
-02252~ -113795
0i531
-011660 0116205 024471
-iin1911 ~15164 032732
006877 023239 0 40115
014828 030538 046875
022039 037151 052942
0 28589 043150 05tl433
034543 0411596 063405
1)39956 1153538 067904
044873 0511018 071971
0120 039Z7 061A96 ii6lS982 n75317 080999 086108 0911702 094829 0911530 101h2
0140 0)3234 100181 106307 111741 116570 120867 124693 128092 131101 13-754 0160 0180
1296 172999
139068 178394
44396 183046
149071 1amp7073
103119 90563
156791 193580
159955 196178
162720 1911393
165125 gt00265
167198 201826
0200 23265 2181153 22123 225592 228543 2JI042 -33139 234875 236282 237388 0250 34630 318gt16 321128 323479 325350 J26801 327P81 328629 -29077 329253
0300 46656 419342 421383 422889 423937 424588 424888 424875 424579 424028 0300 0400 0450
59101 6183)74760
521081 623239 725697
522437 1124037 726031
523275 6211333 125873
523673 624200 125296
523689 623695 724357
523367 622864 723099
52745 62i743 721 558
521854 120361 719763
520718 618743 717740
0500 8785) 828379 1128319 A27775 1126820 820510 1123888 821988 A19841 II 17470
0500 9 on 054 931234 930834 929956 928675 927043 92105 92gt895 920442 917769 0600 104349 lO34225 lii33527 1032358 1030790 102A877 1026662 1024180 1021457 101819 0650 0700
117718 12411 49
1137325 240516
1136364 1gt39320
113493A 1237663
1133116 1gt35615
1130954 1233231
1128494 1230551
1120769 122760
1122809 1gt24436
1119636 li21052
0750 1344630 1343781 1342374 IJ4(1510 1338258 133t673 1332796 1329660 n26294 132-720
0800 1448153 1447109 1445511 1443459 1441022 14311255 1435199 14 31 887 1428346 1424599 0850 0900 0950 1000
155171- 165530 ]7lt8921 181I256
1550491 1653918 175786 IIloOIl88
1548718 151986 1755307 1858673
154495 1149606 1752782 11156015
1543890 1646847 1149881 11152982
1540957 H bullbull 43762 1741656 1849627
1537737 1640392 1743148 lIh4S992
1534264 163770 1739389 18 4Z107
1530563 1$32924 1735408 11138001
1526660 1628876 1731227 1833697
1100 20990 2()67982 21)65523 2062625 2059356 2055769 2051904 2047793 21)43463 2038937 1200 227731 2275173 2272501 2269394 Zi65919 2262129 2258063 2253754 2249229 224451)9 1300 1400 1500
4A4774 2692278 2899AIA
2482443 2689776 2897163
2479583 2686749 21193985
2476290 28329 2A90379
2472634 2679473 211S6415
2468664 267t343 2AB2141
2464421 2670942 2877598
245q937 2666302 28728 18
2455239 2661449 2867826
24511347 2656405 2862644
Page 102
TABL 9 (CONTINUEO)
H3 IJMOLE)
T~middot 006(1) 00640 00650 00700 00750 00800 00900 OOOO Oll 00 Oll00
00
0000 00t1 0(1)2 00(13 0004
-0rS013 -00004 -04971 -0(4931) -0~4116C
1)00000 000009 0(01)360)1)080 000143
001191 ~01200 iiOlntgt ii01270 iiOl3n
006799 006A07 1)068llt 00687lt 006934
011867 011875 011899 011939 011996
016443 01451 016474 016513 016567
0l42Al 024289 024 ]10 024346 024397
0305M 0lri591 0]06 11 03Q645 030693
035561 035567 1)35587 035619 1)35663
039377 039383 039402 039432 039474
001)6 oOos OOH 00tgt 0014
-01I467Q -0~4410 -O408C -03677 -0319r
000321 000571 000R92 001284 101747
1101)1509 ~01756 01)2074 00243 ii02921
1)07103 007330 0(764)oollon I)OR451
012158 o123A4 012675 013031 013451
016n3 016941 017220 017562 017965
024542 024744 025004 0l5322 025698
0308211 031018 03i262 03j560 031 9 12
035791 035970 031201 036482 036814
039596 039766 039984 040251 040566
0011 0018 0020 0025 0030
-0l264 -02012 -01311
l)ii0756 03(61
002280 002884 003558 005546 007962
003449 004047 004715 ii(l6684 009078
008951 00952F 0101Alt 0120411 (I1 433S
013934 014482 015094 016899 019096
018430 0111957 019545 0212Bl 023394
026130 026620 027168 028 784 030753
032318 03~778 0332(11 034808 036656
037197 037631 n]A1l5 0]9547 041293
040929 041341 041800 043160 044816
003S 0040 0045 00ltgt0 001l0
0116217 O~977 0i314f n17O~ 0gt6A8~
010797 014039 017675 Oc1688 030770
0118B7 nl)101 ~ ii2c68S ii31695
017027 O2010~ n23563 n273l1 036051
021677 024635 127960 031639 040003
025A79 (I2A728 031932 035481 04)563
033070 035729 0311723 0 42044 049628
038830 04i331 044148 047276 054434
0middot43349 045712 0411377 051339 058127
046769 049014 051547 054364 060829
0070 00110 0090 01(10 O po
O~7551
04933 0 2074 1)763Q 1-479
041129 052600 065036 078307 106Q20
041979 n53375 n65738 078938 l07418
045981 057026 069037 08194 109732
049606 060314 071995 iIA4531 111759
052864 063163 074636 0136867 113516
058390 068230 0711040 0010714 116286
062729 072077 0823A6 09)559 11A152
066015 0 74927 n84787 095508 1101208
068356 076882 086337 096647 119529
0140 0160 OlAO 0200 OSO
136077 IAA96~ 230911 28221 3gt9170
137717 17075 203926 238705 328956
138 097 170451 204107 38BOl )28878
191133 171671 0048601 23914Q 32113lt
141306 172649 205401 239279 327647
142532 173396 20717 2301206 3lt6748
144303 174256 205754 2311497 324447
1415247 174350 205072
~21 54 1
145449 1 73756 203744 235109 318094
144919 172539 201834 232559 314159
0300 43242 422460 422243 421046 419666 41A115 41 4547 4104 14 405781 400702 0350 0400 0450 0500
519350 fIii691ii 715508 11489
518125 615303 713585 812702
r17797 1S14882 713086 A12136
S16047 612673 710489 A)9206
014123 610297 707731 A06120
512038 607767 70_11124 A02888
507427 602286 698604 196030
5002118 596302 691899 7BA703
496684 1)139873 614767 780964
490659 583048 617251 772858
0550 0600 060 0700 0750
0Il4891 10i538f 11627 12i747A 13A951lt1
912468 1012750 1113450 1214494 1315A26
911844 1~12074 1i12728 1213731 131502
908624 1008599 1109027 1209821 110937
905251 1004974 1105177 1205775 106704
901736 100110 1101191 1201590 1300340
1194323 993305
1092849 1192857 1293251
886452 984954
1084070 1183692 1283739
R71n80 h76211
1074907 1174152 1273857
16955] 967U3
10615406 1164280 1263649
OIlOO 14gt0667 1417399 1416566 1412310 1407913 1403384 1393974 1384145 1373952 1363438 0850 Ogeo 0900 1000
)5gt2571 1624645 176864 18gt9212
1519181 1621140 1723gt55 1825506
1518317 1620248 1722337 1824564
15139)A 1~15700 1711660 11119767
1509360 1611013 1712845 1814834
1504682 1606198 1707903 lA09774
1494976 1596221 1697616 1799316
1484858 158r836 1687045 I18A457
1474]80 1575096 1676063 1777250
1463586 1564044 1664173 1765739
1100 1200 13eo 1400 1500
2034233 223911 lt445B 2C1l8A 1lr729lt
2030)54 2235582 ~441117 2646903 2852R98
21)29368 2234559 2440060 2645816 2A517e4
2024357 22293501 2434693 2 40301 2A46136
2019210 2224026 2429196 2634656 21140358
2013940 221111570 2423577 26211~91 2B34462
2003064 2201330 2412013 261 7039 21322350
199195 2195702 2400061 26048014 28Oq863
lQe0185 2183737 2187789 292250 21Cl7052
1968276 2171479 2375222 2579406 2783959
Page 103
TA~LF 9 (CONTINUED)
H3 (JMOLEI
TI 01301) 01400 01500 01600 01800 02000 02250 02500 02750 OlOOO
(KI
0000 042167 044040 045089 045391 044012 0 4 (1334 033005 023100 011009 -002960 Ooni 000 0on3 0004
042173 04219 042219 042259
0441)46 0441162 0441190 044129
1)45094 n45110 1)45137 n4S174
1)453911 n45411 045417 1)454n
044016 044031 044054 0440R8
04n]38 040352 040374 040405
0l3009 033021 033042 033071
02104 024116 024136 0211(3
1111013 (loll 024 011043 011 069
-n029i6 -00gt945 -00292A -002903
0006 0008 0010 0012 0014
042370 042537 042745 04gt999 043299
044gt39 044394 044093 044836 045123
n4)2Ao n45428 045619 0451152 046128
045575 04lt77 0459n (104(1204(391)
044183 044316 044487 044696 044943
040495 040620 ()40781 040977 04)gt09
03355 n3372 n33422 033605 0331122
02242 023351 021493 02)665 02869
1)11143 011247 01138 1 011544 011737
-nOtl32 -00gt7]3 -00~606 -002451 -00gt267
0016 043645 045454 046446 046696 045228 041477 03+072 024104 011960 -002055 0018 0440311 045829 046805 047042 045SH n41781 034355 024370 012212 -0018tl 0020 0444710 046248 n47208 n47429 045912 042120 0341011 0246611 012494 -001547 0025 0030
1)45771 n4735)
047487 048999
1148397 1)491147
0411573 1)49970
046979 048281
041122 044347
035607 036750
025549 026624
(I 13327 014346
-000753 000216
0035 049212 050780 )51558 1)51616 049A18 045791 038099 027894 015548 00360 0040 0045Ooso (IOM
051354 00371 1 00(461 010264
0521130 05gt145 057723 n63(48
0S3S26 0)5750 058226 063923
1153511 055653 0511039 063530
051586 0middot53586 055815 060950
047454 049336 0H433 056269
03653 041411 043371 047A94
029356 031011 03857 037119
016933 0111501 1120251 024290
002679 004172 005839 009687
0070 069F47 070168 1170585 069957 066968 061943 053207 04212F1 029041 0014216 0010 078026 078434 0711168 077283 073842 06A433 059291 047871 034493 019415 0090 0100
0~710(171)5gt
087192 096785
1186625 095902
0A5464 094451
081536 090009
070710 0113741
1)66125 073681
054330 06l4
040629 n47433
025272 031772
0120 11QI8) 118gt19 116693 114644 109124 101915 090838 077764 062954 046625
0140 143894 14247 140080 13743 130821 1226415 1111501 096493 oFlOMl 063805 0160 0180 0200
170754 199)Q 2-9lt011
168447 196463 225998
165659 193085 22066
16t420 189290 211741
)04740 1 11 0565 208026
145599 170482 1 Q7035
132381 156204 1081727
117422 1402H 164890
100942 122966 146715
083126 104379 127362
0250 3977Q 304994 099835 [194331 [182385 26Ql22 251626 232602 212419 191220
0300 395219 389369 383182 376684 62R43 347998 3211217 307253 285263 262316 0350 4114255 477507 470447 463100 447635 431255 409667 387007 63422 339032 0400 5751167 56F1365 060567 552497 535630 517914 494745 470595 445603 4198AO 0450 0500
6Q401 74420
661247 7551191
152RI0 746701
4411A 13746gt
6260S0 718332
61)774 911444
582615 72671
557146 646035
030901 618674
50991 590697
0550 IIl060Fl 851379 A41892 FI3171 812103 791309 764454 736789 708436 679504 0600 957726 948052 938128 9279711 907074 885473 857645 829047 799809 770025 0650 0700
1055604 1154114
1045533 1143684
1035218 1133011
10246A4 1122136
1003030 1099805
980703 107821
Q52001 1047326
92562 1017123
1192511 986337 ~ 955068
07S0 1253153 1242398 1231411 1gt20214 11Q7268 1173687 1143470 111gt571 1081113 1049194
0800 1302640 1341589 1330310 1318826 195318 1271191 1240312 12011175 1176700 1144186 0850 1402512 1441189 1429643 1417895 13Q3R71 n69242 1331755 1305630 1272987 1239923 0900 1502717 1541144 1529351 1517360 149859 1467767 1435719 1403051 13M88 1336310 0950 1000
1603211 173959
1641406 1741940
1629385 1129701
11717 17172A3
59229 1691932
1561708 1666012
153439 1632960
1500967 159939
1467310 1565207
1433265 1531)7lt2
1100 1906103 1943697 1931083 19182R lR92193 lf16i554 1831627 1197138 P62204 1726921 1200 13GO
215896 gt3 24011
2146211 2349353
2133268 2336107
2120136 2226A2
2093398 2295368
2066126 2267533
2031428 2232151
1996192 219250
1960534 2159946
1924547 2123331
1400 1500
25 6312 2770619
2552996 2157061
2539484 2143309
2525796 2729384
2497966 2701088
4(9627 2672295
2433632 2(35746
2397135 259R711
gth60251 2061303
2323074 2523616
Page 104
TABLE 10
THE OSMOTIC PRESSURE OF HE3 IN HE AND THE EXPRESSION -[ ~4(X T) -~4 (TwO)]
OSMOTIC PRESSURE bull P OSM -[ ~4(X T) -~4O(T=O)] bull U
)( 00001 X bull 00002 X bull OOOO X bull 00010 X bull 00020
P OS U P 0514 U P OS U P OSM U P OSM U (Kl TORR) IJMOLEI CTORRI CJMOLEI (TORRI CJMOLEI nORRI CJMOLEI CTORRI IJMOL[I
0000 bullbull 810middot00 1783-006 15lmiddotmiddot00l 56middot2middot006 6978-003 2566-00 2181-002 8020-005 6769-002 2bullbullbull9-00 0001 0002
5509-00 7002-00
2026006 2575-006
1620-003 18l-00l
5956-006 6778-006
709l-00l 7 bullbull26-00l
2608-005 2731-00
2196_002 2238002
8073-00 82l1-005
6787-002 681-002
2 bullbull96-00 2516-00
0003 000
880-00 1OA3-003
3250-006 398Z-006
21511-003 2506-003
791l-006 9216-006
79-003 8612-003
2923-005 3167-005
2308_002 2 bullbull0l-002
8bullbull88-005 8836005
6931-002 7056-002
2Imiddot9-00 2 595-00
0006 151)2-003 5SiH-006 3281-003 1208-005 1021-002 l756-005 2650-002 975-005 7bullbull01-002 221-00 0008 0middot0100012
1 93l-003 2371-00l 28lmiddot003
7108-006 8719-006 103-005
middot1l0-003 4959-003 5822-003
1511-005 1823-005 21middot1-005
120l-002 1397-002 1599-002
bullbullbull25-005 5138-005 5879-005
295l-00Z 3292-002 365middot-002
1086-00 10210-004 1middotmiddot00middot
7855-002 8393-002 8996 002
2 888-004 3 086004 3 308-004
001middot 3257middot00l 11 98-00ll 6693-00l 2bullbull61-005 1806-002 6639-005 4034-002 1483-00 9648-002 3548-004
0016 37112-003 1361-005 7571-00l 2784-005 201 6-002 7bullbull12-00 4426_002 1628-00 103-001 3801-004 0018 0020
bullbull 149_00l bullbull596-003
1526_005 1690-005
8 bullbull54_003 9339-00l
3109-005 3434-005
2228-002 2443-002
819-005 8983-005
4828_002 5236_002
1775-00 1925-004
1106-001 1180-001
4066-00 bullbull 3l9-004
0075 0030
5 718_003 681-003
2103_005 2516-005
1156-00Z 1380-002
4252-005 507-005
2986_00Z l534-002 1~g8 6279002
7344_002 2l09-004 2701-004
137-001 1575-001
s051-004 5 191-00
0035 7966-003 2930-005 160-002 5898-005 bullbull 086-002 1503-00 8 bullbull23-002 3097-00 1781-001 65bull 9- 004 000 9093-003 3345-00 1828-002 672-005 bullbull641-002 170700 9511-002 3bullbull97-00 1991-001 320-00 0045 0050
1022-002 1135-00Z
3761-00i 4177-00r
2053-00Z 2278-002
7551-005 8379-005
5197-00Z 575-002
1911-00 2116-00
1061-001 1171-001
3900-00 bullbull305-004
2203-001 2 bullbull17-001
8101-004 8 889-004
0060 13M-002 5011-00- 2728-002 100middot-00middot 6872-002 2528-00 139pound-001 5middot118-00 2850-001 1 048-003
0070 OORO 0090
1586-002 1h2-002 20l8-002
5848-005 6690-005 7537-005
3178-002 3629-002 bullbull 080-002
11 70-004 1l37-00middot 1505-004
799l-002 9116-002 10Z-001
2941-00 3l55-00 3770-00
161 4-001 1837-001 2060-001
59l6-00 657-004 7580-00bull
3287-001 3727-001 168-001
1209-00] 1037 1-003 1533-003
0100 0120
224_fl022715-002
8391-005 1013-00
bullbull5n-002 5435-002
1673-00 2012-00middot
1136-001 1362-001
bullbull 185-004 5021-00
2284_001 2732-001
840500bull 1006-003
4611-001 5500-001
1 696-003 2 02-003
0140 l17-002 119 1-004 6338-002 2357-004 1587-001 5861-004 l18Z-001 10172003 6393-001 2 353- 003 011i1) OlFJO o 00
l619-002
g~~gg~ 1l75-004 1568-004 1712-00
7241-002 815-00~9048-00
2707-004
~2~~8g 1812-001
~~~2ggl 6709-004 756-Og48432-0 4
36l1-001 4g81-oo 1bullbull 1 -001
103middot0-003 lII98-g03 16 7- Ol
7287-001 R18~-gol907 - 0
2 684-003
Ju~gn 0250 5603-002 2345-00 11l1-001 bull bullbullcmiddot-OOmiddot 2 828-001 1066-00l 5658-001 2107-003 1132middot000 41 91-003
Oloo 67~002 3046-00 1357-001 5540-on4 3392-001 1302-003 6785-001 250-003 1357middot000 506-003 0350 0middot00
7914_002 904_002
3932_004 5068_004
1583-001 1809-001
6842-004 8394-004
3957_001 bullbull 521-001
1557_00 1837-003
7913_001 901-001
3012-003 3bullbull99-003
1582000 1807middot000
5 920-003 6820-003
0450 0501)
1017-001 1110-001
653l_004 8412-00
20l5-001 2Z61-001
1027-003 12gt7-003
5g86-001 5 51-001
219-003 2503-00l
10P00O 1130000
4018-003 middot580003
2033000 Z258middot000
7 753-003 828-003
0550 1244-001 101f 0-003 2487-001 1537-003 6Z16-00l 2908-003 1243middot000 5192-003 2bullbull83middot000 9 15-003 0600 0650 0700
13r7-001 1bullbull70-001 15I1l-001
131S1-003 1757-003 2227-003
2713-001 2939-001 3165-001
1880-003 2Z97-003 2809-003
6780-001 7345-001 7910-001
3l76-00l l917-00l bullbull 554-00l
1356middot000 1bullbull68middot000 1581middot0011
5(167-003 66~60037bullbull 9-003
2709middot000 293bullbull000 3160-000
1middot08-002 1middot20n-002 l l 26-002
075n 1696-001 28e7-003 3391-001 3bullbull50-003 e475-001 5320-003 1694+000 8bullbull33-00l 3385middot000 1 465-002
0800 0850 0900
181)9-001 1922-001 2035-001
361Z-003 bullbull 669-00l 6122-003
3617-001 3843-001 4069-001
bullbull 217-003 5375-003 6870-003
900-001 9605-001 1017+000
6271-003 7bullbull94-003 9113-003
1807000 19200011 2033 +000
9r91-003 10102-002 1785002
3611middot000 3836+000 4062000
1622-002 1807-002 2 031-002
0950 1000
2148-001 2261-001
81 4O-OOl 1094-002
4295-001 4521-001
8929-003 11 77-002
1073000 1130000
1130-002 1426-00Z
2160011 225900011
152middot-002 1R41-002
4287+000 bullbull5130000
2 311-002 2 67 0-002
1100 74117-001 2002-002 4973-001 209-002 1243+000 2l68-002 248000 224-002 4964+000 3 136-002 1200 1300 14110
27)3-001 29~9_00l 315-001
l618-002 6319-002 1061-001
5 bullbull25-001 5878_001 6l311-001
3717-002 64i7-002 1072-001
1 356000 1469+000 1582+000
bullbull 017-000 6751-002 1107-001
Z710000 2936+000 316Z+000
bullbull 515-002 7290-002 1165-001
5415000 5866+000 6317+000
5509-002 e l68-OO2 1 281-001
1500 ll91-001 1713-001 6782-001 17C6-001 1 695+000 1763-001 3388+00U 1825-001 6768+000 i950-00l
Page 105
TABLE 10 ICO~TINUEO)
X 00030 X 0000 X 00050 )( 00060 )( bull 0middot0080 T P OSM u P OS U4 P OS U P OSM U P OSM u
11lt1 (TORR) (JOLE) (TORR) (JMOLEI (TORR) (JMOLE) ITORR) (JMOLEI (TORR) tJMOLE)
0000 t3116-001 803-00 2076-001 763middot-004 2967-001 1091-003 3966-001 1bullbull58-003 62bullbull-001 2 296-003 0001 0002 0003 000
1308-001 1315-001 1325-001 1339_001
bullbull811-00 bullbull83_00 bullbull872-004 bullbull925-00
2079-001 2085-001 2097-001 2113-001
76middot3-00middot 7668-00middot 7710-00middot 7769-00 4
2970-001 2 977-001 2990-001 3007-001
1092-003 109S-003 1099-003 1106-003
3969_001 3977_001 3990_001 bullbull 008_001
1bullbull59-003 1462-003 1bullbull67-003 1474-003
6247-001 6256-001 6270-001 6291-001
2 297-003 2 30 0-003 2 306-003 2 313-003
0006 1380-001 5074-00 2158-001 7935-1)0 4 3056-001 112-003 4060-001 1493-003 6348-001 20 33-003 0008 0middot010 0012 001middot
1middot5-00115112-001 1579_001 1665-001
5276-00 5523-004 5807-004 6122-00
222rOOl 229 -001 2387-001 2488-001
81 62-004 8445-004 8776-004 91 49-00
3123-001 3208-001 3308-001 3423-001
11middot8-003 11 80-003 121fo-003 12511-003
middot132-001 4223-001 middot332-001 bullbull 457_001
1519-003 1553-003 1593-003 1639-003
6 428-001 6 530-001 6652-001 fo795-001
2 36-003 2 401-003 2 4bull 6-003 2 498-003
0016 0018 0020 0025 0030
1707-001 1855-001 1957-001 2228-001 2513-001
6461-004 6821-004 71 96-00 8191-00 92middot1-00
2599-001 2718-001 28bullbull-001 3181-001 353-001
9557-004 99115-004 1046-003 1170-003 1303-003
3549-001 3686-001 3832-001 bullbull 228-001 658-001
1305-003 1355-003 1middot09-003 1555-003 1713-003
bullbull 597_001 bullbull 749_001 bullbull912-001 5360-001 5852_001
1690-003 176-003 1806-003 1971-003 21 52-003
6955-001 7132-001 732-001 78amp0-001 860-001
2551-003 2 623-003 2 693-003 2 890-003 3111-003
0035 000 005 0050 0060
2809-001 311 3-001 3middot22-001 3735-001 bullbull 371-001
1033-003 11 45-003 1258-003 1373-003 1607-003
3921-001 bullbull 3U-001 bullbull 712-001 5119-001 599-001
1bullbullmiddot2-003 1586-003 1733-003 1882-003 21 88-003
5112-001 558-001 6070-001 6567-001 758-001
1880-003 2053-003 2232-003 2415-003 2789-003
6376-001 6925_001 7bullbull92-001 8074-00l 9270-001
2345-003 2546-003 2755-003 2969-003 3bullbull 09-003
9110-001 9797-001 1051middot000 1125middot000 1279middot000
3350-003 3 602-003 3866-003 4138-003 bullbull r02-003
0070 0080 0090 0100 0120
50t5-001 565-001 6320-001 6 978-001 8301 001
18middot-003 2083-003 232-003 2567-003 305-003
6795-001 7650-001 8513-001 938ii-001 1113-000
2bullbull99-003 2813-003 31 31-003 3bullbullSo-n03 bullbull 095-003
8623 001 9678-001 107middotmiddot000 1182000 1399000
3171-003 3559_003 3951-003 437-003 5146-003
1050000 1175000 1301+000 14ii9000 1688000
3860-003 middot320-003 bullbull 785-003 5256-003 ~206-003
1 437000 1600middot000 1765000 1932+000 2272000
5286-003 SA83-003 6 49 1-003 7106-003 8 35-003
0140 9631-001 35bullbull-003 1289middot000 bullbull 73-003 1618000 5951-003 l9middot1J+000 71 67-003 2615middot000 9middotamp18-003 OlfoO 0180 0200 0250
IOCJ6middot000 1230middot000 136-000 1700middot000
bullbull 036-003 4531-003 5027-003 6277-003
1bullbull6~middot000 16bullbullmiddot000 1822+000 2268middot000
5396-003 6051-003 6709-003 8365-0(13
1838middot000 2059+000 2280middot000 2836middot000
6762-003 7577-003 8395-003 1045-002
2211middot000 2 bullbull75-000 274110011 3 bullbull0middot-000
81 34-003 9107-003 1middot008-002 125middot-002
2962middot000 3310middot000 3661middot000 452+000
)089-0021218-002 347-002 1673-002
0300 0350 0400 0bullbull50 0500
2036000 2373000 270000 3047000 33e-000
7542-003 8827-003 1014-002 1148-002 1287-002
2715+000 3163000 3611middot000 bullbull 060000 bullbull509000
100-002 1113-002 1345-002 1521-002 1701-002
3393000 3952000 bullbull512000 5072000 5632000
1253-002 1bullbull63-002 1676-002 1893-002 2114-002
middot072000 bullbull7410011 5411+000 608ii+000 6754000
1503-002 1753-002 2007-002 2264-002 2526-002
5421middot000 6315+000 7206middot000 8098000 8991middot000
2001-002 2 332-002 2667-002 3005-002 3 348-002
0550 3722middot000 1431-002 959-000 18116-002 6193000 2340-002 7426000 ~793-002 988000 3697-002 0600 0650 0700 0750
bullbull 060-000 4397middot000 4735-000 0073middot000
151lt002 1738-002 1906-002 20116-002
5bullbull08+000 5858middot000 6307middot000 6757middot000
2077-002 2275-002 2bullbull84-002 2705-002
675middot000 7315middot000 7877000 8bullbull39middot000
2512-002 2812-002 3061-002 3323-002
809111000 8771+000 9bullbull4middot000 1012middot001
3066-002 33middot7002 3637002 3940-002
1078-001 1167middot001 1257middot001 136middot001
bullbull 052-002 414-002 bullbull 186-002 IIln-002
0800 0850
5bullbull0000 5748000
2284-002 2510-002
7207middot000 7657000
295-(102 3212-002
9000+000 9562000
360-002 3912-002
1079001 11middot6001
4262002 4611-002
1middot36middot001 1526001
5575 002 6006-002
0900 0900 1000
6086middot000 6424+000 6762000
2775-002 3097_002 3bullbull97-002
8107000 8557000 9007000
3518-002 3881-002 323-002
1012001 1069+001 1125001
4260-002 466-002 517-002
1214001 1281001 138+001
5000-002 546002 5969-002
1615middot001 1705-001 1795+001
6middot77-002 7004-0027 610-002
1100 7bullbull38middot000 66-002 9907000 5554-002 1237001 6460-002 1bullbull83001 7365-002 197-001 9169-002 1200 1300
811middotmiddot0008790000
6501-002 9 bullbull3-002
1081001 117hOOI
7bullbull92-002 1052-001
1350001 1 462001
881-002 1159 001
1618001 1753001
9468-002 1266-001
2153+001 2333001
1144-001 1479-001
1middot00 1500
9466middot000 101middot001
1397-001 207-001
126hOOl 1351+001
1513-001 21 97-001
1575001 1687001
1628-001 2321-001
18811001 2023001
113-001 2bullbullmiddotmiddot-00
2512middot001 2692+001
1 973- 00 2 691-001
Page 106
TABLE 10 (CONTINUED)
It bull 00100 X bull 00150 X bull 00200 X bull O O4ljO X bull Ch0300
p 0514 U4 P OSM U4 POSH U4 POSH U4 P OSM U4 (I() ITORR) IJMOLE) (TORR) (JMOLEI nORR) IJMOLEI (TORR) (JMOLEI (TORR) IJMOLpound)
0000 8845-001 3252-003 1647+000 6056-003 2532+000 Q310-00J 3506+000 1289-002 4545+000 1671-002 0001 8848_001 3254-003 1647+000 1gt057-003 2532+000 9312 003 35060000 189-002 4546 0000 1 67 1-0020002 8811i8-001 3257-003 16480000 1gt061-003 2534+000 9316-003 35080000 1 bull 90-002 4547+000 1672-002 0003 8873-001 3263-003 1650+000 1gt068-003 2535+000 93gt3-003 3510+000 129 1-002 4549000 1 6n-002 00114 A8Q5-001 3271-003 165J+000 6077-003 2531hOOO 9333-003 3513+00u 1292-002 4552000 1674-002
0006 8957-001 3294-003 166U-000 6103-003 2546+000 9362-003 3521-000 1295-002 4561+000 1677-002 0008 q044-001 3325-003 1670+000 61 40-003 2557+000 Q403-003 3533-00U 1 bull 99-002 4574-000 1 682-002 0010 9154-001 3366-003 1683+000 61 87-003 2571-000 9454-003 35480 0011 1305-002 4590-000 1688-002 0012 92A8-001 3lt15-003 1698_000 6244-003 2588+000 9518-003 3567+000 1312-002 4610-000 1 695-002 001 4 Q1I44-001 31172-003 1716+000 6311-003 2 609-000 9592-003 3589_000 l3l0-002 4633+000 1104-002
0016 9621-001 3538-003 1737+000 6387-003 2632-000 9677-003 361 4-000 1329-002 4660-000 1 714-002 00)8 98]8-001 3610-003 1761000 6473-003 2658000 9774-003 364 ii000 1339-002 4691000 1 725-002 0010 1003-000 3689_003 1786+000 6568-003 2687+000 9880-003 3674000 1351-002 4725000 1 737-002 0025 104_000 3913_003 1861+000 6842-003 2772000 1019-002 3767000 1385-002 4824+000 1 77002 0030 11]3000 It167_003 1948+000 71 62-003 2872000 1056-002 3977000 1426-002 4943+000 19 19-002
0035 1209-000 11445-003 204imiddot000 7520-003 2 986+000 1098-001 4005+000 1473-002 508+000 1 869-002 0040 1iiQO+000 4743-003 2151-000 7911-003 3112000 1144-00 4147middot00U 1525-002 5238+000 1926 -0020045 1375000 5056-003 226i+000 8329-003 3248-000 1194-002 4302+000 1582-002 5409-000 1 989-002 0050 1464000 5382-003 238HOOO 8769-003 33911-000 12118-002 4469+000 1643-002 5594-000 2057-0020060 1648+000 6061-003 2639000 9703-003 3706+000 1363-002 483ii+000 1777-002 6001+000 2 207-002
0070 1841+000 6769-003 2908+000 10laquogt9-002 4042+000 1486-002 5227000 1922-002 6 448-000 2 37 1-002 OOM 2039000 7497-003 3187-000 1172-002 4395+000 1616-002 5645000 2076-002 6 927+000 2 547-002 0090 2241+000 8241-003 3476-000 1278-002 4761+000 1751-002 6083000 2237-002 7430-000 2732-002 0100 2446+000 8996-003 3771000 1387-002 5139+000 1890-002 653700U 2404-002 7954+000 2 925-002 0120 2864000 1053-002 4 37i+000 1609-002 5917000 2176-002 7479+000 2750-002 9050+000 3 328-002
0140 32A8~000 ]209-002 4993-000 1836-002 6719+000 2471-002 8455-000 3109-002 10 0 19+00 1 3 148-002 0160 371 7000 1367-002 5621-000 2067-002 7538-000 2772-002 945700U 3478-002 1152+001 4 235-002 Oleo 4149+000 1526_002 6257000 2301-002 8 4 011 +000 3091-002 1050001 3963-002 1260001 4634-002 0200 4584 000 1687-002 6897000 2537-002 9208+000 3387-002 1151001 4233-002 1379+001 5072-002 0250 5679000 2091-002 8516000 31 34-n02 1134_001 4172-002 1414 +001 5 bull 01-002 1amp91001 6219-002
0300 6780000 2499-002 1015001 3737-002 1349-001 4967-002 1680+001 1gt184-002 2008middot001 7 388-002 0350 7886000 2910-002 1179+001 4347-002 1567+001 5770-002 19iO-001 7]80-002 2329001 8 573-002 0 400 8995+000 33l5-002 134-001 496 1-002 1785+001 6581-002 2221-001 81 84-002 2652-001 9 769-0020 450 1011-001 374-002 1510-001 558 0-002 200lt-001 7398-00lt 249+001 91 97-002 2977001 1)98-001 0 500 1122001 41 68-002 1676-001 6205-002 2224+001 8222-002 2767001 1022-001 330001 1 219-001
0550 1233-001 4598-002 1842-001 6836-002 2 445-001 9052-002 304Z+001 1125-001 3632001 1 342-001 0600 1345001 5034_00i 2008 001 7473-002 2 666+001 9 890_002 331 7+001 1228_001 3961_001 1465-0010600 147001 5478-002 2175+001 81 19-002 2887001 1074-001 359Z_001 1333-001 4290-001 1590-001 0700 1568_001 5931-002 2342+001 8775-002 3108001 1159-001 3868_001 1439-001 4620+001 1r15-0010750 1 680+001 6398002 2509 +001 94middot5-002 3330001 1246_001 4144+001 15116-001 4951+001 1 1142-001 0800 1792001 6883-002 267amp-001 1013-001 3552-001 1335-001 4420+001 1(55-001 52111 +001 1 971 -001 0850 1914+001 7396-002 2843001 1085-001 3774+001 14n-001 4697+001 1767middot001 5613+001 2middot103-0010900 2015+001 7948-002 3010+001 1160-001 3996+001 1523-001 4974-001 1883-001 5944+001 ZZ39-001 0950 2127001 8557-002 3177+001 12112-001 4218001 1625-00] 5251+001 Cl004-001 6276-001 2 38 1-001 1000 2239 -001 92115-002 3344-001 1331-001 41141001 1734-001 5528-001 21 34-001 6608+001 2 531-001
1100 2463+001 1097-001 3679+001 1511 11-1101 4885+001 1987-001 6083001 2428-001 7272001 2 865-001 1200 26A7+001 1340001 401 4 001 1828-001 5331+001 2312-001 6638_001 2793-001 7937-001 3 27 0-001 1300 2911_001 1692_001 4349+001 2220-001 5776+001 2745-001 7194+001 3266-001 8603001 3 r84-0011400 3135001 2202-001 4684+001 2771-001 6222001 3337-001 7750+001 3899-001 9269001 4 1157-001 1500 339+001 2936001 501 9 001 3546-001 6667_001 4152-001 8306+001 11755-001 9935-001 5 354-001
Page 107
TABLf 10 (CONTINUED)
)I bull 00350 X bull 00400 X bull 00450 ~ bull 00500 X 0O5gt0
T P OM U4 POSH U4 P OSM U4 P OS U4 P OSM U4 (K) (TORRI CJMOLE) CTORRl IJMOLE) nOAA) (JMOLE) (TOAA) (JMOLEI (TORA) IJMOLEI
0000 0001
1]631+000 5631+000
2070 002 2071-002
6748+000 6749+000
2481-002 2482-002
7885+000 78116+000
2899-002 2900-002
9031+000 9034000
3321-002 3321-002
101 1hOOl 101A001
3 742- OO 3 73-002
0002 0On3 0004
5633000 563150000 5 618000
2071-002 2072_002 2073-002
6750000 6753+000 6756000
2482-002 2483-002 2484-002
7887000 7890+000 7894000
2900-002 2901-002 2902-002
90340011 90360011 9040+000
3322-002 3323002 3324-002
101Smiddot001 1018+001 1019001
3 743-002 3744- 002 3146-002
0006 5648000 2077-002 6766+000 2488-002 7904+000 2906-002 9051000 3328-002 1020+001 3 750-002 0008 0middot010 0012
56amp1+000 678+000 5699+000
2082-002 2088-002 2096-002
6780+000 6798+000 6820+000
2493-002 2500-002 2508-002
7918000 7937+000 7960+000
2912-002 2 9111-002 2927-002
9066 +000 9085 +000 9109+000
3333-002 3341-002 3349-002
1021+001 1middot023001 1026+001
3155-002 3763-002 3 772- 002
0014 7 4+000 2105-002 6846+000 2517-002 7987+000 2937-002 9137+000 3360-002 10029+001 3 782-002
0016 Oots 0020 0025 0030
5752000 5784+000 5 820+000 5 926000 6003+000
2115-002 2127-002 2140-002 2179-002 2226-002
6876+000 6909+000 6947+000 7058+000 7192+000
252R-002 2541-002 c554-002 2595-002 264-002
8018+000 8053000 8092+000 8Z08+000 8348000
29411-002 291-002 2976-002 30111-002 3070-002
9169000 9206000 924600U 9366000 951200U
3HI-002 3385-002 3400-002 3444-002 3498-002
1032+001 1036001 1040001 1052middot001 1068+001
3795-002 3809-002 10 11 24-002 3870-00~ 31i25-002
0035 6201000 2280-002 7348000 2702-002 8512+000 3130-002 9684+000 3061-002 1085001 399 1-002 0040 0045 0050
6368000 504+000 6755+000
2342-002 2410-002 2484-002
7526+000 772000 7940000
2767-002 2840-002 2919-002
8699+000 8908000 9137000
3199-002 327S-002 3360-002
98711+0011 1010001 1034+001
3633-002 3713-002 31101-002
1106001 11211+001 1154+001
4066-002 4149-002 4442-002
0060 7201+000 2648-002 8420000 3096-002 9649+000 354111-002 1088+001 4000-002 1210001 4450-002
0070 0090 0090 0100 0120
7695+000 9227+000 A792middot000 93R2+000 1062+001
2829-002 3025_002 3233-002 3450-002 3906-002
8956+000 9539000 1016+001 1081+001 121 9+001
3293-002 3507-002 3736-002 3975-002 4482-002
1022+001 1085001 1152001 1223001 1374001
3759-002 3990-002 4~3~-002 4498-002 5053-002
1149+001 1216+01)1 1288001 1365001 152t1+001
4225-002 4411-002 4731-002 5017-002 5~17-002
1275001 1346001 122middot001 1504001 1679+001
4 687-002 4 948-002 5 230-002 5530-002 6174-002
0140 11112+001 4385-002 1365001 5018-002 1534+001 5642-002 1702001 6257-002 1866001 61162-002 0160 0180
1339+001 1468 +001
4923-002 5397-002
1527001 1673+001
5615-002 6151-002
1112001 1875+001
6297-002 6894-002
1895001 2073001
61168-002 7625-002
2074001 2268+001
7626-002 amp341-002
0200 1605+001 5903-002 1828001 6723-002 2048+001 7530-002 2263+001 8322-002 2474001 9099-002 0250 1964001 7225-002 2234+001 8216-002 2499+001 9191-00lt 2759001 1015-001 3015001 1109-001
0300 0350
2331+001 2702001
8576-002 9947-002
2649001 3071+001
9746-002 11 30-001
2962001 3 434+001
1090-001 1264-001
3270001 3791+001
1203-001 1395-001
3573001 4142001
1 314-001 1l24-001
0400 0450
3078+001 3455001
133-0011273-001
3498+001 3927+001
1289-001 1447-001
3911+001 4393001
1441)-0011618-001
4319+001 4851+001
1590-001 1787-001
4720001 5303+001
1131-001 1 953-001
0500 3835001 1414-001 4359001 1607-001 4877+001 1797-001 53870001 1985-001 5891001 2 17 0-001
0550 4216+001 1556-001 4793+001 1769-001 5363+001 1979-001 5926001 2185-001 6482+001 2390-001 0600 4598+001 1700-001 5229+001 1931-001 5852+001 2161-001 64611+001 2387-001 7076+001 2 611-001 0650 0700
4991+001 5365001
1844-001 1989-001
5665001 6103+001
2095-001 2260-001
6342+001 6833+001
2344-001 2529-001
7011+001 7556001
2590-001 2795-001
7672001 A270middot001
2 833-001 3 057- 001
0750 5750001 2136-001 6541+001 2427-001 7325+001 2716-001 8102001 3001-001 9870001 hil93-001
0800 6135001 2285-001 6980+001 2596-001 7818+001 2904-001 8649001 3210-001 9471001 3512-001 0850 6520+001 2437-001 7420+001 2768-001 8312+001 3096-001 9196+001 3421-001 1007+002 343-001 0900 0950
6906+001 7292001
2593-001 2755_001
7860+001 8301+001
2944-001 31 26-001
8807+001 9302+001
3292-001 3494-001
9745+001 1029+002
337-001 3859-001
1068+002 1128002
3 979-001 4 22 1-001
1000 7679001 2925-001 8742+001 3316-001 9797+001 3704-001 1084002 4089-001 119900C 4471-001
1100 8453+001 3299-001 9625001 3730-001 1079+002 4158-001 1195002 4584-001 1309+002 5 006-00 1200 92t7+OOl 3745-001 1051+002 4216-001 1178+002 4685-001 1305002 5150001 1431002 5612-001 1300 1000+002 4299-001 1139+002 4811-001 1278+002 5320 001 1415002 5A25-001 1552002 63211-001 1400 1500
1078+002 1155002
5012-001 5949-001
1228+002 1317002
5564-001 6542-001
1377+002 1477+002
6114-001 732-001
1526+002 1637+002
6660-00 7718-001
1674+002 1795002
7 Z03-00 8 302-001
Page 108
TlBLE 10 (CONTINUED)
)( 00600 )( 00640 )( 00650 X bull 00700 X bull 00750
P OSM U4 P OSM U4 P OSM U4 P OSM U4 P 05104 U4 IK) tTOqR) (JMOLE) (TORR) (JMOLE) ClORR) (JMnLE) (TORR) (JMOLE) (TORR) tJMnL[)
0000 1132001 4161-002 1222001 4492-002 1244001 4574-00i 1354 001 4980-002 1462001 5 376- 002 0001 1132001 4161-002 1222001 4492-012 1244001 4575-00i 1354001 4980-002 1462001 5 376-002 0002 1132001 4162-002 1220001 4493-002 1244001 457S_002 1355001 4981-002 1 462001 5377-002 0003 1132001 4163-002 1222001 4494-002 1245001 4576-002 135S001 4982-002 1463middot001 5378-002 0004 1133001 4164-002 1223001 4496-002 1245001 4578-002 135S001 4q84-002 1463middot001 5380-002
0006 1134001 4169-002 1224001 4500-002 1246001 4582-002 1357001 4Q88-002 1 464001 5384-002 0008 1135001 41 75-002 1225001 4506-002 1248001 4088-002 1358001 4994-002 1466001 5 391-002 0010 1137 001 41 82-002 1228001 4514-002 1250001 4591gt-002 1360001 Sn02-002 1468001 5 399-002 001 2 1middot140001 41 9 1-002 1230001 4023-002 1253001 4606-002 1363001 5012-002 1471001 5+09-002 001 4 1143001 4202-002 1233001 4534-002 1256001 4617-002 1366001 S1)24-002 1 474001 5+21-002
0016 1146001 4215-002 1237001 4547-002 1259001 41gt30-002 1370001 5037-002 1478001 5434-002 001 8 1100001 4229-002 124hOOI 4562-002 1263001 4645-002 1374001 50S2-002 1 482001 5 450-002 0020 11S5001 4245-002 1245001 4578-002 1268001 4661-002 1379001 5069-002 1487001 5 467-002 0025 1167001 4293-002 1258001 4627-01)2 1281001 4710-002 1392001 5119-002 1501001 5 518-002 0030 111l13001 4350-002 1274001 4686-002 1297001 4769-002 1 409001 5180-002 151$001 558-002
0035 1201001 4418-002 1293001 4755-002 1316001 4839-002 1428001 S252-002 10538001 5 b55-002 0040 10222001 4495-002 1315001 4834-002 1338+001 4919-002 1451+001 5334-002 1561001 5 139-00shy0045 1246001 4582-002 1339001 4924-002 1362001 5008-002 1476001 5427-002 1587001 5middot M34-OO2 0050 1272001 4678-002 1366001 5023-002 1389001 5lOR-002 1504001 5529-002 1616001 5 94 0-002 0060 131001 4895-002 1427001 5247-002 1 451001 5334-002 1567001 5763-002 1681001 6 181-002
0070 1399001 5144-002 1497+001 5503-002 1S21001 5592-002 1640001 6031-002 1757001 6 459- 002 OOlllO 1474001 5418-002 1574001 5788-002 1599001 S880-002 1722001 6331-002 1841+001 6 770-002 0090 15155001 5716-002 1658+001 6098-002 1684+001 6192-002 1811001 o~58-g02 1934001 7110002 0100 1641+001 6033-002 1748001 6429-002 1175001 6527-00~ 1906+001 1008-002 2033middot001 7476-002 0120 18gt7+001 6720-002 1944001 71 47-002 1972+001 7252-002 211 4 001 7771-002 2251001 8 275-002
0140 2027001 7454-002 2153001 7918-002 2184001 8032-002 2338+001 8595-002 2486001 9 141-002 0160 2249+001 8271-002 2386001 8715-002 2~20middotOOI 8900-002 2587+001 9511-002 2148001 1011-001 0180 2459001 9042-002 2608+001 9590-002 2645001 9725-002 21126001 1039-001 3001001 1104-001 0200 26111001 9859-002 2843001 10~5-001 2 883001 1060-001 3079 001 11 32-001 3270001 1 202-001 0250 32t-5middot001 1201-001 3461+001 1273-001 3509+001 1291-001 3747001 1378-001 3979001 1 463- 001
0300 3869001 1423-001 4101001 1509-001 4159+001 1530-001 4442001 1634-001 4718001 1 735-001 0350 4486+001 1651-001 4757+001 1750-001 4824001 1775-001 515f)001 18lt16-001 5478001 2 015-001 0400 514001 1882_001 5424001 1996-001 5500001 2024-001 5880001 2164-001 6252001 2301-001 0450 5748001 2116-001 6098001 2245-001 6185001 2277-001 661 5001 2435_001 7037001 2 590-001 0500 6381001 2353-001 6778001 2497-001 6875001 2532-001 7356+001 2709-001 7829001 2883-001
0550 7030001 2591-001 7463+001 2750-001 7571001 2190-001 8103+001 2986-001 8627001 3178-001 0600 7677001 2832-001 8150+001 3006-001 8270001 3049-001 8854 001 3264-001 Q431+001 3476-001 0 650 11326001 3014-001 8843001 3264-001 8972001 3311-001 9609+001 3545-001 1middot024+002 3 777-001 0700 8977+001 331-001 9537001 3523-001 9676+001 3S74-001 10037002 3R28-001 1middot105002 4079-001 0750 9630001 3563-001 1023002 3785-001 1038+002 3840-001 1113+002 4111-001 1186002 4384-001
0800 1028+002 3811-001 1093002 4049-001 1109002 410B-001 1189002 4401-001 1268+002 4 69 1-001 0850 1094+002 4063-001 1163+002 4316-001 1180002 4379-001 1265002 4692-001 1350+002 5002-001 0900 1110+002 4318-001 1233+002 4581-001 1251+002 4654-001 1342002 4987-001 1432+002 5 317-001 0950 1226002 4580-001 1303+002 4865-001 1322+002 4936-001 1418002 5289001 1514002 5639-001 1000 1291002 4850-001 1373002 51 51-001 1394002 5226-001 1495002 5599-001 1596+002 5 969-001
1100 14raquo3+002 5425-001 151 4002 5758-001 1537002 5841-001 1649002 6255-001 1761002 6 665-001 1400 1506+002 6072-001 1655002 6431-001 1680002 6529-001 1803+002 6q82-001 1 926+002 7 433-001 1300 1688002 6828-001 1196+002 7226-001 1823002 7325-001 1958002 7B1 9-OO1 2091002 8 310-001 1400 1821+002 7743-001 1938002 81 74-001 1967middot002 8281-001 2112middot002 eH600 2257002 9 348-001 1500 1953002 8883-001 2019+002 9346-001 2111+002 9461-001 0267002 1004+000 2423002 1061+000
Page 109
TABLE 10 (CONTINUEO)
X 00800 X 00900 X 01000 X 01100 X 01200
p OS U4 P OS U4 P OSM U4 P OSM U4 P OSM U4 (K) (TORR) (JMOLE) (TORR) (JMOLE) (TORR) (JMOLEI (TORR) IJOLE) ltTORR) IJMOLE)
0000 1567middot001 5760middot002 1764 +001 6487-002 1944+001 7147-002 2102+001 7730-002 2237middot001 8 224-002 0001 1567+001 5760-002 1761H 001 6487-002 1944+001 7147-002 2103001 7730-002 2237middot001 8225-002 0002 1567+001 5761-002 1765+001 6488-002 1944middot001 714~-002 2103-001 7731-002 2237-001 8 226-002 0003 t567middot001 5762-002 176)middot001 64 89-002 1 945-001 7149-002 2103_001 7732-002 2238-001 8 227-002 0004 1568_001 5764_002 1765-001 6491-002 1 945001 7151-002 2104001 7734-002 2238-001 8 229-002
0006 1569middot001 5769-002 1767middot001 6496-002 1 946001 7156-002 2105-001 7 39-002 2240-001 8 234-002 0008 1571001 5775-002 1769001 6502-002 1948001 7163-002 2107-001 7746-002 2242-001 emiddot 242-0020010 1573-001 5784-002 1771-001 6511-002 1951-001 7172-002 2110-001 7756-002 2245-001 8252-002 0012 1 576001 5794-002 1774middot001 6522-002 1 954001 7183-002 211 3-001 7767-002 2248001 8e63-002 0014 1579001 5806-002 1777001 6535-002 1 957-001 7197-002 211 6 001 7781-002 2e52-001 8e78-002
0016 151l001 58eO-002 1781001 6549-002 1962001 7212-002 2121-001 7797-002 2256middot001 8294-002 001 8 1597001 5836-002 1786001 6566-002 1966001 7229-002 2126+001 7fl15-002 2261-001 8 312-002 0020 1592-001 5854-002 1791-001 )584-002 1971-001 7248-002 213hOOl 7e35-002 2267+001 e333-002 0025 1606+001 5906-002 1806middot001 6639-002 1987+001 7305-002 21 47 001 7894-002 2283-001 8394-002 0030 1604-001 5970-002 1824-001 )706-002 2006-001 7375-002 2167+001 7966-002 2304-001 8 468-002
0035 1644001 6045-002 1845middot001 6785-002 2028-001 7457-002 2190-001 8051-002 2328-001 8 557-002 0040 161110001 6132-002 1870-001 6876-002 2054001 7552-002 221 7-001 81 49-002 2357-001 8 667-0020045 1694001 6230-002 1898-001 697-002 2083-001 7658-002 2247_001 8260-002 2387001 8774-002 0050 1774001 6339-002 1929001 7092-002 2115-001 7777-002 22810001 8384-002 2 421-001 8 901-002 0060 1791-001 6587-002 2000-001 73 53-002 2190-001 11051-002 2358-001 8668-002 2501-001 195-002
0070 1869-001 6873-002 2082001 7656-002 2276001 8369-002 2448_001 9001-002 2595001 9 541-002 OOAO 1907001 7195-002 2175-001 7998-002 2374_001 87lt9-002 2551001 9378-002 2702-001 9 935-002 0090 2053_001 7548_002 2277-001 8374-002 2484001 9131-002 2666001 9flOO-002 2822-001 1038-001 0100 2116-001 7928-002 2389+001 8783-002 2 600-001 9561-002 2789-001 1025-001 2951+001 1085-001 0120 gt3R30001 8762-002 2633001 9682-002 2861+001 1052-001 3065001 1127-001 3243-001 1192-001
0140 2630001 9669-002 2901-001 1067-001 3149001 11M-001 3372+001 1gt40-001 3S67-001 i31l-001 0160 2904001 1068-001 3200001 11 77-001 3 471001 1276-001 3716001 1366-001 3931middot001 1445-001 OlRO 311-001 1166-001 3494001 1285-001 3790001 1394-001 4059_001 1492-001 bullbull298-001 1580-001 0200 3455-001 1270-001 3806-001 1399-001 4130001 1519-001 4426001 1627-001 4691middot001 1 12C-0010250 42r15middot001 15lt6-001 4635+001 1704-001 5036-001 1852-001 5 1 4060ll1 1988-1ll1 5744-001 2112-001
0300 4988001 1835001 5505middot001 2025-001 5991001 2203-001 6445+001 2370-001 86001 ~524-001 0350 5794001 2131-001 6403001 2355-001 6980001 2567-001 7523_001 2761-001 8030001 ~953-001 0400 6616001 2434-001 7321001 2694-001 7993001 2940-001 8629001 374-001 9230middot001 3 395-001 0450 7451001 2742-001 8254001 3037-001 9023-001 3320-001 9757001 3590-001 1045+002 3846- 0010500 8294001 3054-001 9198001 3386-001 1007002 3706-001 1090002 4012-001 1170002 4304-001
0550 9144001 3368middot001 1015-002 3738-001 1112002 4095-001 1206002 4439-001 1295002 4769-001 0600 9999+001 3685-001 1111-002 4094-001 1219002 4489-001 1322002 4870-001 1422middot002 5 238-001 0650 1086002 4005-001 1207002 4452-001 1326+002 4886-001 1440002 5306-001 1550002 5712-001 0700 1172002 4327-001 130bullbull 002 4813-001 1 433002 528~-001 1558_002 5744-001 1679002 6 189- 001 0750 121119002 4651-001 1402-002 51 76-001 1541+002 5688-001 1677002 61 81-001 10809002 6 671-001
0800 1346002 4978-001 1500002 5543-001 1650+002 6094-001 1796002 6632-001 1939-002 7156-001 0850 1433middot002 5309-001 1598+002 5913-001 1758-002 6504-001 1916002 7082-001 2069-002 7046-001 0900 1510002 5644-001 1696002 6288-001 1867002 6920-001 2036002 7538-001 2200002 S142-001 0950 1608002 5986-001 1794 002 6670-001 1977002 7342-001 2156002 8000-001 2331middot002 8 644-001 1000 1696002 6336-001 1893002 7060-001 2086002 7772-001 2276002 8470-001 2463002 9155-001
1100 1871002 7072-001 2091002 7877-001 2306002 8670-001 2518002 9450-001 2727002 1 022000 1200 2048+002 7881-001 2289-002 8767-001 2527002 9641-001 2761+002 1050000 2992002 1135000 1300 2224-002 8799-001 2487-002 9767-001 2747002 1072-000 3004 -002 1167-000 3258002 1260+000 1400 2401-002 9877 001 2686+002 1093-000 2969002 119000 324amp-002 1299-000 3524+002 1 400-000 1500 2578002 1118-000 21186+002 1231+000 3190-002 1343-000 3492_002 1454-000 3791-002 1564-000
Page 110
TABLE 10 (CONTINUED)
)( 01300 )( 01400 X bull 0middot1500 X bull 01600 X bull 01 800
P 0gt U4 P OS U4 P OS U4 P OSM U4 P OSM U4 (K) (TO~RI (JMOLE) (TORR) (JOLE) nORR) (JOLEI (TORR) (JMOLEI (TORR) tJOLE)
0300 7248001 2665-001 7594+001 2792-001 7902001 2905-001 8170+001 1003-001 8578001 3 152-001 0350 0 400
13501+001 9792001
3126-001 3601-001
8933001 1032002
3285-001 3794001
9 1 326+0111 1080+002
34ZQ-QU3971001
9677+QQl 1124002
3558-gU 41 33-001
1025002 1middot199+002
3 768-001 4 408-001
0450 1111002 408B-001 1173002 4315-001 1231002 4527-001 1284+002 47Z3-001 1318middot002 5061-001 0500 1245002 458Z-001 1317+002 4846-001 13a5+00z 5094-001 1448+002 53Z6-001 1middot56100Z 541-001
0550 13111+002 5084001 1463+00Z 5384-001 1541002 5669-001 161 4 002 5938-001 1747middot00Z 4Z7-001 0600 1519002 5591-001 161100Z 59Z9-001 1 699+00Z 6Z52-001 1782+002 6559-001 1936+002 71Z3-001 0650 0700 0750
1657+002 1796002 191700Z
6103_001 66Z0-001 71 41-001
1760+002 1910+00Z 2060middot00Z
6480-001 70 36-001 7596-001
1858+002 Z019+00Z Z180002
6841-001 7436-001 8035-001
195c002 2123+00Z Z29b00Z
71 87-001 7AZO-001 8459-001
21Z7+00Z Z319+002 251300Z
7 8Z7-OO1 8 539-001 9 258-001
0800 207700Z 7666-001 2Z1Z+00Z 81 61-001 Z343+00Z 8640-001 Z469002 9104-001 2709+00Z 9 982-001 0850 0 900 0950 1000
ZZ19+00Z 2361002 Z503+00Z 2646+002
8196-001 8731-001 9Z74-001 98Z6-001
2364middot00Z 2S17+00Z 2671+002 2824+002
8731-001 9307-001 9890-001 1048+000
Z506+002 Z670+00Z Z834+00Z 2999+002
9250-001 9867-001 1049+000 1112+000
264300Z Z91 8+00Z 2994+00Z 370middot00Z
9754-001 1041000 1108+000 11 75000
2 90Smiddot00Z 310Z+00Z 3300middot00Z 3499+002
1071000 1145+00( 1middot 2Z 0+ 000 1 296 000
1100 2932+00Z 1097+000 3133middot00Z 11 71middotOno 333000Z 1243+000 35Z4002 1314000 38911middot00Z 1 452 +000 1200 3Z19middot00Z 1219000 344002 1301+000 3 b63+00Z 1382+000 387900Z 1461+000 4300+00Z 1 61lmiddot000 1300 1400
3511+002 379600Z
135Z000 1501+000
375400Z 4066 +002
14Z000 1599+000
399700Z 4331+00Z
1531+00n 1697+000
4236+002 4594+00Z
1619+000 1793+000
4702+002 S107+00i
1 790 000 1 98 1000
1500 4086+002 1672000 4378002 1779+000 4667002 1885+000 4952002 1990000 551Z+002 2 195000
TABLE 10 (CONTINUED)
)( 02000 X nZ250 X 02500 X 0Z7SO X bull 03000
p OS U4 P OSM U4 P OS U4 P OS U4 P OS U4 (K) (TORRI (JMOLE) (TORRI eJMOLE) (TORR) (JMOLEI eTORR) (JMOLE) (TORRI IJOLEl
0300 8807001 3236-001 88Z1+001 3240-001 8510001 3124-001 7f4b+001 2878-001 6801+001 2 493-001 0350 1064middot002 3910-001 108~+00Z 3987-001 1074middot00Z 394Z-001 1026+002 3766-001 9409+001 3449-001 0400 0450 0500
IZII)6+00Z1453+00Z 16-6+00Z
4614-001 5341-001 6086-001
1Z98middot00Z 1519+00Z 1746+00Z
4770-001 5581-001 6414-001
1308+002 155Z+00Z 18Z+QQZ
4803-001 5697-001 ~618-QOl
IZ82+002 1548+00Z 18Z3+00Z
4704-001 5681-001 690-001
1217+00Z 1506+00Z 1805002
4464-001 55Z3-001 6 619-001
0550 18I)Z+002 6846-001 1977-002 7Z65-001 Z058+00Z 7561-001 Z104+002 7724-001 2111+002 145-001 0600 0650 0700 0750
Z071+00Z 2Z113+00Z 2491-00Z Z713+00Z
7617-001 8399~001 9189-001 9987-001
Z212+002 Z450-002 Z691+00Z 2934+00Z
81 31-001 9009-001 9898-001 1080000
Z319+002 25114+00Z Z85Z+002 3123+002
8521-001 9496-001 1048+000 1148+000
Z391+002 Z683_00Z Z978+002 3Z7600Z
8779-001 9-51001 1094+000 1204000
Z425middot00Z Z743+002 3066+00Z 3393+002
11895-001 1 007 -000 1 1Z5 +OOO 1246+000
0800 0850 0900 0950 1000
29~0middot00Z 3148+00Z 3368+00Z 3589+002 3810middot00Z
1079+001) 1161+000 1243-000 13Z6-000 1410-000
3179002 34Z6+002 3674+002 3923+00Z 4173+00Z
1110000 IZ6Z+000 1354 +000 1449+000 1543+000
3396+00Z 3 671+00Z 3948+00Z 42Z6+002 4505+00Z
1Z49000 13H+000 1454+000 1558+000 1664+000
3571hOOZ 388200Z 4188_00Z 4495+00Z 4805+002
1315000 1428+000 1541000 1656 +000 1772+000
37Z3+00Z 4056-00Z 439Z+00 41 47Z9+002 5069+00Z
1 368000 1 49 1+000 1 615000 1 74 1+000 10 868+000
1100 4256+002 158Z+000 4677+00Z 1736+000 5068+002 1879+000 54Z8+00Z Z010000 0753+00Z ZIZ8+000 IZ00 1300 1400
4703+002 5153+002 5605+00Z
1763+000 1955+000 Z164000
5184-002 5693+002 6Z0 4+00Z
1939+000 ZI12middotOQO Z383+000
5635+00Z 6Z04+00Z 6776+00Z
Z103+000 Z339+000 Z592-000
6055+00Z 6686_002 7320middot00Z
Z256-000 ZSI5+000 Z790+000
6 443middot00Z 7137+00Z 7834+00Z
2 396 +000 2middot b78 +000 Z976+000
1500 605 7 -002 2395+000 6717+002 Z637+000 7351+00Z Z86+000 7957+002 3089+000 8535+002 3 Z98 -0OO
Page 111
TABLE 11
THE SPECIFIC HEAT 0 THE TOTAL HE3 - HE4 ~OLUTION
C IJMOLE-I()
TX 01001 00002 00005 00010 00020 00030 00040 00050 00060 00080
(I()
0000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 0002 0003
6509-004 949_004 1066_003
8928_004 1516_003 1853_003
1254_003 2402_003 3316_003
1593-003 3139_003 4514-003
2016_003 4010_003 5956_003
2314-003 4613_003 6882_003
255it_003 5094_003 1112-003
215-003 S50_003 8 I29-003
2933-003 5858_003 8168_003
3239-003 Amiddot12-003 9 693-003
0004 1124-003 2040-003 3910_003 5828_003 1821-003 9101_003 1010-002 093-002 1166_002 i290-002
0006 1171-003 2221-003 4180-003 1103-003 1115-002 13l9-002 1489_002 1620-002 113l-002 1 923-002 0middot008 lol01-003 2middot315-003 5l1 4-003 8924-003 1382-002 1100-002 1932-00l 2119-002 2217-002 2 54 1-002 OOlO 0012 0014
124-003 t 222-003 12l1-003
2middot364-003 2394-003 2middot414middot003
5413-003 5640-003 5155-003
9121-003 1028-002 1067-00l
1586-002 1141-002 1860-00l
2010-002 2263-002 2468-002
2327-002 2666-002 2951-002
pS18-002 li990-00l 3349-00l
2790-002 3259-002 3683-002
~136-002 3middot 699- OO 4224-002
0016 0018 0020 0Ol5 0030
1231-003 1234-003 1236_003 240-003 1243_003
2429-003 2439_003 2447_003 2461-003 2470-003
5838-003 5899_003 5941_003 6021_003 6071-003
1091-002 1119-002 1136-002 11 66-002 1185-002
1952-002 20l4-002 20U-00l 2187-002 2255_002
2635-002 2171-00l 2883_002 3088-00l 3226_002
31 92-002 3395 _O0l 3560_002 3888_002 4l09_00l
110 6511-002 3926-002 4156-002 603-002 4917-002
4056-002 4384-002 4612-002 5245-002 5659-002
4 (07-00l 5145-002 5 538-002 6353-002 6 913-002
0035 1245-003 2477-003 6111-003 11 97-002 2301-002 3321-00l 4I68-002 51 46-002 5965-002 447-002 0040 1248-003 2483-003 6136-003 1206-002 2334-002 3392-002 4385-002 5319-002 6198-002 7814-002 0045 0050
1251-003 1254-003
2487-003 2492-003
6155-003 6170-003
121]-002 1218-002
2359-002 l379-002
3445-002 3486-002
4414-002 4~43-002
545 t-002 554-002
6319-002 6523-002
8104-002 bullbull l38-002
0060 1262-003 2503-003 6196-003 1226-002 2406-002 3545-002 4644-002 5706-002 6133-002 8687-002
0010 1273-003 2515-003 6218-003 1232-002 2426-002 3586-002 471 4-002 911-002 6818-002 8929-002 0080 0090
1287-003 1305-003
2530-003 2549_003
6240-003 6264-003
1236-002 1241-002
2440-002 2451-002
3615-00~ 3637-002
4763_002 4S01-002
5886-002 lJ9 43-002
6983-002 7063-002
9 107-002 9 24 1-002
0100 0120
1328-003 13S1-003
2572_003 2632_003
6291-003 6356_00 3
1245-002 1253-002
2460_002 2476_002
3655_002 3683-002
411131-002 4875_002
5987-002 6053-002
1125-002 7215-002
346-002 9 498-002
0140 1471-003 2716-003 6444-003 1263-00l 2 491-002 3106-002 4910-002 Cmiddot101-002 7280-002 605-002 0160 0180 0200 0250
1middot581-003 17~3-003 1900-003 2523-003
2827-003 2969-003 3146-003 3710-003
6557-003 6101-003 6879-003 7505-003
1215-002 1290-002 1309-002 1372-002
2507-002 2524-002 2544-002 2 611-002
3128-002 3749-002 3773-002 3844-002
4939-002 4966-002 4994-002 5073-002
61 40-002 70331-002 615-002 7315-002 ~208-002 1415-002 6196-002 1514-002
9middot85-002 9 751-002 808-00l 9 935-002
0300 3453-003 4699-003 8435-003 1465-002 2106-002 3943-002 5176_002 6404-002 7629-002 1 007-001 0350 0400
4150-003 6415-003
5996-003 1122-003
9733-003 1146-002
1595-002 1168-002
2831-002 30ll-002
4076-002 4251-002
5311-002 548ti_002
6544-002 6723-002
7713-002 1955-002
t022-001 1 041-001
0450 8691-003 9931-003 1367-002 1990-002 3233-002 4474-002 5712_002 6949-002 8183-002 1065-001 0500 1146-002 1210-002 1644-002 2266-002 3510-002 4751-002 5991_002 7228-002 8464_002 1093-001
0550 14114-002 1608-002 1982-002 2604-002 3848-002 50At-002 632-002 715611-002 8804-002 i127-001 0600 0650 0100 0750
1898-002 2563-002 3694-002 5612-002
l022-00l 2688-002 3819-002 5736-002
2396-002 3061-002 4192-002 6109-002
3018-002 3683-002 4813-002 6729-002
4261-002 4 926-002 6055-002 7969-002
5503-002 6167-002 7296-002 9208-002
6743-002 1407-002 8535-002 1045-001
7982-002 86411)-002 9714-002 11611-001
9220-002 9884-002 10101-001 10 292-00 1
1169-001 1236-001 348-001 1539-001
0800 8718-002 8842-002 9214-002 9833-002 1107-001 1231-001 1354-001 1418-001 1601-001 1847- 001 0850 0900 0950
10346-001 2031-001 2970-001
1359_001 2043_001 l982001
1396-001 2080-001 3019-001
1457-001 21 41-001 3080-001
1581001 2264_001 3201-001
1704-001 2387-001 33l3-001
1e21-OO1 2509-001 3444_001
195 0-001 2631-001 3566-001
l073-001 2754-001 3687-001
2 318-001 2 998-001 3930-001
1000 4203-001 42lS-00l 4252-001 4312-001 4432-001 4553-001 4173_001 193-001 4913-001 5153-001
1100 7106-001 7718-001 7153-001 7812-001 1929-001 8046-001 8162-001 8middot279-001 8396-001 8 629-001 1200 1292+000 1293+000 1296+000 1302+000 1313+000 1324+000 1335000 1346+000 1357+000 1380+000 10300 1400
2046+000 3115+000
2047middot000 3116+000
2050+000 3119+000
2055+000 3124+000
2066000 3133middot000
2076+000 3142+000
2087+000 3152000
raquo097+000 31 61000
2107+000 3170+000
2 128+000 3189+000
1500 41532+000 4533middot000 4535middot000 4539+000 4541+000 4555+000 4063+000 4middot11+000 4579+000 4595+000
Page 112
TAIR 11 (CONTINuEDI
C (JOLE-IltI
011100 00130 00200 00250 00300 00350 00400 00450 00500 00550T~ 110
0000 0000middot000 II 000000 00011middot000 0000middot000 0000middot000 0000middot000 0000000 0middot000middot000 0000000 0000middot000 0001 3~00middot003 4035003 4410003 484 3003 5115-003 5415-003 515-003 1009-003 6250-003 6471-003 0002 69CJ5003 8067_003 8937003 9685003 1035_002 1095_002 11 511-002 1202-002 1250_002 1295-002 0003 1048-002 209_002 1340-002 1452-002 1552002 1642-002 112S_002 11102-002 1814-002 1943- 002 0004 13CJ5_002 1611_002 1186_002 1935002 2068_002 2189_002 2299002 2402_002 2499_002 2 590-002
0006 2084-062 2410-002 2614-002 2899-002 3099-002 3280-002 3441-002 3601002 3746-002 3 1t83-002 0008 2160-002 202-002 3556-002 3858-002 4126-002 43611-002 4591 -002 41 91-002 4991-002 5114-002 0010 3419-002 30982-002 4430-002 4811-002 5148-002 5452-002 5131-002 5990-002 6233-002 emiddot461-002 0012 4054-002 4148-002 5294-002 5156-002 6163-002 6529-002 6866-002 11111-002 1410-002 1745-002 0014 4659-002 5495-002 6144_002 6690-002 7169-002 7600-002 7994_002 8360-002 8702-002 025-002
0016 52lt6-002 6219-002 6918_002 1611-002 8165-002 8661-002 9115-002 953-002 9928002 1 030-001 0018 5156-002 915-002 1792-002 8517-002 9148middot002 9112-002 1023-001 1070-001 1115-001 1middot157-001 0020 6243-002 1518_002 8582_002 9405-002 1012-001 1015-001 11 33_001 1 86-001 1236001 1282-001 0025 72111-002 9085-002 1043-001 11 53-001 1246middot001 1328-001 140J-001 1471-001 1534-001 1593-001 0030 8102-002 1036-001 1209-001 1348-001 1 466_001 1569_001 1662_001 1146-001 1824-001 1 891-001
0035 a150-002 11 42-001 1352-001 1524-001 1668-001 1795-001 1908-001 2middot010-001 2104-001 2191-001 0040 9264-002 IUI-00l 1416-001 1619-001 1853-001 2004-001 237-001 2259-001 2311-001 2 4 14-001 0045 9616-002 1305-001 1582-001 1816-001 2017-001 2194-001 2]51-001 2 0493-001 2623-001 2 143-001 0050 1001-001 1middot361-001 1614-001 1936-001 2164-001 2366-001 2541 -001 2710-001 2860-001 2 997-001 0060 1052-001 1464-001 1821-001 2134-001 2412-001 2661-001 2886-001 092-001 3282-001 ]457-001
0070 1088-001 534_001 1931-001 2287-001 2608-001 2899-001 31 66-001 412-001 3640-001 31153-001 0080 10114-001 1587-001 2015-001 2406-001 2764-001 3093-001 3397_001 680-001 3943-001 4- 190-001 0090 1134-001 1628_001 2081-001 2500-001 2889-001 3250-001 3587_001 3903-001 4199-001 4 479-001 0100 1150-001 660-001 2134-001 2576-001 2990-001 3379-001 3745-001 4090-001 4416-001 4 125-001 0120 1173-001 1707_001 2212-001 2691-001 3145-001 3571-001 3988_001 4381-001 4756-001 5115 001
0140 1188-001 1740-001 2267-001 2771-001 3255-001 3119-001 41 65-001 4593-001 5007-001 5 405-001 0160 1200-001 1764-001 2307-001 28l1-001 3336-001 38Z5-001 4298-001 4755-001 5197-001 15 627-001 0180 1210-001 783-001 2338-001 2816-001 3398-001 3906-001 4399_001 4880-001 5347-001 SJJ01-001 0200 10217-001 1797-001 2362-001 2912-011 3 447-001 3970-001 4480-001 4977-001 5464-001 Smiddot940-001 0250 1234-001 1826-001 2406-001 2976-001 3535-001 4083-001 4123-001 51 52-001 5673-001 6185-001
0300 1249-001 1848-001 2439-001 3020-001 3594-001 4160-001 471 7001 ~26R-00I 5811-001 6 347-001 0350 1266-001 810-001 2467-001 3057001 3640-001 4217-001 4788-001 5352-001 5911-001 6 4 64-001 0400 1286_001 1893_001 2495_001 309 1-001 3681_001 4266_001 41146_001 5420-001 5990-001 6554001 0450 1310001 1920_001 2525_001 3125-001 3 720_001 4311_001 4891_001 5479-001 6057_001 6630-001 0500 1339_001 1951_001 2558001 31 61_001 3160_001 4356_001 4947_001 5535-001 6119-001 6 b99-001
0550 1374-001 1987-001 2596-001 3202-001 3804-001 4402-001 4998_001 111590-001 6179-001 6764-001 0600 1416-001 2030-001 2640-001 3248-001 3852-001 4454-001 5052-001 5648-001 6240-001 6 830- 001 0650 1482-001 2097-001 2709-001 3318-001 3924-001 4527-001 5128-001 5726-001 6322-001 6 915-001 0100 1middot595-001 2210-001 2822-001 3432-001 4039-001 4644-001 5246-001 5846-001 6444-001 1040-001 0750 10185-001 2400-001 3012-001 3622-001 4230-001 4835-001 5439-001 6040-001 6639-001 7236-001
0800 20CJ3-001 2707-001 3318-001 3928-001 4535-001 5140-001 5744_001 6345-001 6945-001 7 542-001 0850 2564-001 3175-001 3185-001 4393-001 4999-001 5603-001 6205-001 806-001 1405-001 8002-001 0900 3242-001 3851_001 4458-001 5063-001 5666-001 6268-001 6868_001 1466-001 8063-001 8659-001 0950 4112-001 4716-001 5379-001 5980-001 6580-001 7178-001 7714-001 111middot369-001 8962-001 9554-001 1000 5393-001 992001 6589-001 1184-001 7178-001 8371-001 8962-001 9552-001 1014000 1 073000
1100 8162-001 9444-001 1002middot000 1060000 1118middot000 1176middot000 1233000 1291000 1348+000 1405000 1200 1402000 14580000 1513000 1568000 1624000 1679+000 1734000 1789middot000 1844000 i 898middot000 1300 2149middot000 2201000 2253middot000 2304middot000 2356000 2407000 2459000 2510middot000 2561middot000 2 612000 1400 3208000 3254000 3301middot000 3347000 3393000 3440000 3486000 3S32middot000 3518middot000 3 623000 1500 4611middot000 4650000 4690000 4729middot000 4168middot000 48070000 4846000 488middot000 4924middot000 bullbull 963middot000
Page 113
TABLE 11 (CONTINUE)
C IJMOLE IO
0 00600 00640 00650 00700 00750 00800 OOYOO 01000 011 00 01i00
00
0000 00110+000 (1000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0middot000+000 0000+000 0000+000 0001 6693-003 6858_003 6899_003 7096-003 7285-003 7467_003 71114_003 bullbull 139-003 8447-003 8 74 0-003 000i 1339-002 137i-002 1380-00l 1419-002 1 1057-002 1493-002 1563_0(12 628-002 168Q-00l 148-002 0003 200 8_002 2057_002 2069_00 2 2128-00i 21115_00i 224O_OOi 2344_002 2441-002 2534_002 2 622-002 0004 i676_00i 2743_002 2759-002 2838-002 29 13_002 2986_002 3J2amp-002 3255-002 3378-002 3495-002
0006 4013-002 4112-002 4136-00l 42amp5-002 4369-00i 4478-002 4 86-002 4e81-002 5066-002 Si42-002 0008 5347-002 5480-002 5512-002 5670-002 58ii-002 5968-002 6i46-00i 650-002 6753-002 6988-002 0010 6679-002 845-002 6885-002 7083-002 1273-002 7456-002 7803- 002 11130-002 8438-002 8middot732-002 0012 8006-00i 1I206-00i 8255-002 8493-00i 8722-002 8941-002 9359-002 Q S1-OO2 1012-001 1047-001 0014 9330-002 9564-00i 9621-00i 9819-002 1017-001 1042-001 1091-001 11 37-001 10180-001 1 22 1-001
0016 10t5-001 1092-001 1098_001 11 30-001 1161-001 1190-001 1246_001 loi9s-001 1 348-001 1 395-001 0018 1196-001 1226_001 12310-001 1270-001 1304-001 1337-001 1400-001 1459-001 -515-001 1568-001 0020 1327_001 1360 001 1369 001 1409-001 1 447_001 1484_001 1554_001 1620-001 168i-001 1 741 - 001 0025 1649_001 1692-001 1703-001 1753-001 1802-001 1849-001 1937- 001 iOiO-OOl i098-001 2172-001 0030 19M-00I i018-001 i030-001 209i-OOl iH51-001 ii08-001 i3IS-001 i415-001 i510-001 2 599-001
0035 2i73-001 2336-00 i351-001 i4i4-001 i494-001 i561-001 i89-001 2A06-001 i917-001 3023-001 0040 i570-001 i6103-001 i661-001 i747-001 28i9-001 i901-001 3054_001 3191-001 3320-001 3441-001 0045 2855-001 2939-001 2960-001 3059-001 3154-001 3243-001 3412-001 middot569-001 3715-001 3 854-001 0050 3125-001 3222-001 3245-001 3359-001 3466-001 3569-001 3760-001 393A-00I 4103-001 4 259-001 0060 3621-001 3744-001 3173-001 3916-001 10052-001 4181-001 442l-001 4644-001 4851-001 SOH-OOI
0070 40111-001 420i-001 4i38-OO1 4414-001 4581-001 4739-001 5032_001 530i-00 5553-001 5 787-001 0080 443-001 45-001 4642-001 4850-001 5047-001 5235-001 5086_001 5908-001 6204-001 6 1081-001 0090 4743-001 4944_001 4993-001 5i31-001 5458_001 5674_001 6080-001 0454-001 6802-001 1126-001 0100 501 8-001 5242 001 5297_001 5563-001 5818_001 6062-001 6020_001 6946-001 7342-001 7 13-001 0120 5459_001 50724_001 5789_001 6106-001 6 411-001 6705_001 7i6~_01)1 7782-001 8270-001 8 31-001
0140 5790-001 61189-001 616i-001 6S21-001 6869-001 7206-001 7848_001 8454-001 9026-001 569-001 0middot160 6044-001 6369-001 6449-001 6843-0111 7226-001 7599-001 831 4-001 8994-001 9641-001 1 026-0011 0180 6i44-001 6590-001 6676-001 7098-001 7509-001 7911-001 868amp-001 9-431-001 1014000 1 082+0011 0i00 6405-0111 6769-001 6859-001 7303-001 7739-001 8165-001 8Q9J-OOI -789-0 0 l 1056+000 1129+1100 02511 6689-001 7086-001 7184-001 7673-001 8154-001 8626-001 9S5U-ODI 1045+000 1132+0110 1216+000
0300 6877-001 7295-001 7399-001 7915-001 8 425-1101 8929-001 9lt11 9-001 1089+1100 1183+0110 1 276+000 0350 7011-001 7444_001 7552001 8088-001 8619-0111 9145-001 1018+000 11211+000 1ii0-DOO 1 318+000 11400 711 4-001 7559_001 7669-001 8220-001 8766-1101 9308-001 1038+000 11 43+000 1247+000 t 349 +ODO 0450 7i00-ODl 7653_001 7765_1101 83i7-001 8885_001 9438_001 1054 +0011 1162+000 1~269000 1 374 +000 11500 7276-001 7735-0111 7849-0111 8419-001 8985_0111 9549_001 1061+0(10 11 77+000 1286+0110 1 394+000
0550 7347-0111 7811-001 1920-001 8503-001 9076-001 9647-001 1078 -01111 1190000 1301+0011 411 +000 0600 7417-001 7885-1101 8001 001 8583-1101 9162-001 9739-1101 1088+11110 1middot202+000 1314+1100 4i6+000 0650 7SDI-001 7976-001 80910-001 8679-0111 9263-001 9844-1101 10 100+11110 1215+000 13i8+00D 1441+000 07011 76]3-001 8106-1101 8224-001 8813-001 9400-001 9985-001 111 5+000 1(31)+000 1345+0110 1 459+000 0750 7middot831-001 8306-1101 8424-001 9015-001 96115-001 101119+1100 1136+000 1middot252+000 1368+000 1482+0011
08110 81~8-001 8614_11111 873i-001 9325-1101 9915-0111 1050+000 1168+000 1284+000 1400-000 515+0011 118511 11laquo97_001 91173_1101 9191-11111 9183-0111 11137+11110 111960110 121 4000 1330+11110 1446+1100 1 562+0011 0900 9i5i-OD1 9726-001 9845-001 1044+0110 1102+11110 1161+000 1218000 1395+0110 1511000 6i6+000 0950 101114+0011 11162+000 1073+111111 11 32+0011 1191+1100 1249+000 1366+000 14820011 1598+000 bull fl3+000 1000 1131+0110 11780011 1190-000 1248+1100 1306+000 1364000 1480+0110 11595+000 1710+000 1 824+0011
1100 14(12+0011 1508+1100 151 9+1100 1576+01111 1633+0011 1689+000 180i+QOO 1914+11110 2026+000 2138+000 121111 1953+000 1997+1100 21101+11110 20tli+DDO 2116000 i170+DDO iZ79_DDO 2386+0011 2494+11011 ZbOl+QOQ 103011 2663-1100 2704+11011 2114+000 i7b5+00Q 2816-000 2866+000 2961_11110 306e+000 3168+000 3 268+000 141111 369+11110 37116-000 3715+1100 3760+000 3806+000 3851+000 3942+11011 40 32+000 4122+111111 4 212+0011 15110 5002+000 51133+000 5041+0011 5079-000 5118+ 000 5156+0011 5233+0011 ~309+QOQ 5386+000 5 46i+ODO
Page 114
TABLE 11 ltCONTINUED)
C IJMOLEmiddotIO
01300 01400 01500 01600 01800 02000 02250 02500 02150 03000~ (I( )
0000 0000+000 0000+000 0000+000 0000+000 0000middot000 0000+000 0000+000 0000middot000 0000+000 0000+000 0001 9020003 9288_003 9547003 97n-003 1027-002 1072002 11 20_002 1177-002 1225-002 1i72-002 0002 1804_002 1158_002 1909_002 1959_002 2055_002 2145_002 2252_002 2353-002 2450_002 2 544-002 0003 2706_002 2786_002 2864_002 2939_002 3082_002 3217002 3378_002 3530_002 3676_002 3amp16002 0004 3607_002 3715_002 381 8002 3918_002 4109002 4289_002 4503_002 4706_002 4901_002 15 088002
0006 5410-002 5571middot002 5727-002 5817-002 6163-002 6434-002 6154_002 7059-002 7350-002 7 03 1-002 0008 7212-002 7427-002 7634middot002 7834-002 8216middot002 8577-002 9005-002 9411-002 9800-002 1011-001 0010 9012-002 9281-002 9540-002 9790-002 1027-001 10072-001 1125-001 1middotP6-001 1225-001 1272-001 0012 1QIH-OQl 1middot113-001 1144-001 1175-001 1232-001 1286-001 135U-OOI 1middot411-001 147 0-001 1 526- 001 0014 1middot261-001 1298-001 1335-001 1370-001 1 437-001 1500-001 1575-001 10646-001 11 14-001 1 180-001
0016 1440-001 1483_001 1525-001 1565-001 1641-001 1714-001 1799_001 1881-001 1959-001 2034-001 0018 161 9-001 1668_001 174-001 1760-001 184tgt-001 1927-001 2024-001 215-001 2203-001 2 287-001 0020 11lt)8001 1852_001 1904-001 1954_001 2050-001 2141_001 2248 001 2350 001 2447-001 2 54 1-001 0025 2243-001 2311-001 2376_001 2439-001 2559-001 2673-001 280 7001 2935-001 3056 001 3174-001
0030 26A5-001 2707_001 2846_001 2921-001 3066001 3203_001 336-001 351A-00l 3664_001 3 8OS-001
0035 3123-001 3219-001 3312-001 3401-001 3570-001 3730-001 3919-001 4094-001 4270-001 4 435-001 0040 3557-001 3668-001 3774-001 3876-001 4071-001 4254-001 4471-001 4677-001 4873-001 5062-001 0045 39A5-001 4111-001 4231-001 4347-001 4568-001 4775-001 502U-001 5252-001 5474-001 5 687-001 0050 4407-001 4548_001 4683-001 4813-001 5060-001 5292-001 5560-001 1125-001 6072-001 6309-001 0060 5227-001 5401-001 5567-001 5726-001 6028-001 6310-001 6643-001 6 951-001 1256-001 7542-001
0010 6008-001 218_001 6417-001 6608-001 6 968-001 7304-001 7 98_0111 A06lt)-001 8421-001 8 759 001 0080 6743-001 6991-001 7220-001 7451-001 7874-001 8267-001 8726001 91 56-001 9565middot001 9955-001 0090 1430-001 7716_001 7988001 8249-001 8738_001 9192-001 9120-001 1021+000 1068+000 1 113 +000 0100 8062-001 8392-001 8704-001 9000-001 9551-001 1008000 1068000 124+000 1177+000 lc27000 0120 lt)17 001 9580_001 9914-001 1035+000 1106+000 117+000 1246 +000 1316+000 1382000 1444+000
01 40 1008+000 1058+000 1105+000 1150+000 loc35+000 1314+000 1406+000 1491+000 1570+000 645+000 0160 1085+000 1141middot000 1195+000 1247+000 1346+000 1438+000 11146000 1740+000 829+000646+000 0180 1148+000 1211+000 1272middot000 1330+000 11141+000 1546+000 168+000 1783+000 1891+000 1994+000 0200 1201+000 1269+000 1330+000 1400+000 1523+000 1639+000 1176+000 1904+000 2026+000 2141middot000 0250 1299+000 1379+000 1457+000 1534+000 1681+000 1821middot000 1lt)89+000 247+000 2299+000 2 444+000
0300 1366+000 1454+000 1541+000 1626+000 1791+000 19H+000 21 42 +000 325+000 2502+000 2 671+000 0350 141 4+000 1509+000 1602+000 1694 +OOl 1872+000 2046+000 2255+000 2451+000 2654+000 2 844+000 0400 1450000 1549+000 1647000 1744+000 1 934+000 2118+000 2342+000 2560+000 2771+000 2 978+000 0450 1478+000 1581+000 1683+000 1783000 1981middot000 Z174+000 2410+000 C640+000 2864middot000 3083+000 0500 1501+000 1607000 1711middot000 1815middot000 2019+000 2219+000 246S+0IHI 2104+0 2939+000 3 169000
0550 1520+000 1628+000 1735+000 1841+000 2050+000 2256+000 2509+000 751+000 3000+000 3 240+000 0600 1537+000 1641+000 1756+000 1864middot000 2077+000 2288+000 2541000 2801middot000 3051+000 t29S+000 0650 1553+000 1665+000 1775middot000 1885+000 2102+000 2316+000 2580 +000 2140middot000 3096+000 3349000 0700 1512+000 1685+000 1796+000 1907+000 2121+000 2345+000 213000 2818middot000 3139middot000 3396+000 0750 1596+000 1710+000 1823+000 1935middot000 2157+000 2317+000 26411 +000 2417+000 3181+000 3 443+000
0800 16~0+000 1744+000 1857+000 1970+000 2194+000 2416+00amp 2690+000 961+000 3229+000 1494+000 0850 1677+000 1191+000 1905middot000 2018+000 2243+000 2466+000 2142+000 3015+000 3285+000 3 552+000 0900 1141+000 1856+000 1969+000 2083+000 2308+000 2531+000 2808000 3082+000 3353+000 3 622+000 0950 1821+000 1941+000 2055000 2168middot000 2393+000 2616+0011 2892+000 3166+000 3438+000 3 101+000 1000 1938+000 2051+000 2164+000 2217+000 2501+000 2723+000 2998+000 3211+000 3542+000 3 810000
1100 2249+000 2360+000 2410+000 2580+000 2799+000 3011+000 3287+000 3554middot000 3820+000 4084middot000 1200 2707+000 2814+000 2920+000 3025000 3236+000 3445+000 3704+000 3962middot000 4218+000 4bullbull12+000 1300 3368+000 3467+000 3566+000 3665+000 3862+000 4051000 43011+000 4541+000 4181+000 5019+000 1400 43(12middot000 4391middot000 4480+000 4568+000 4745+000 4920+000 5138+000 5355+000 5569+000 5783+000 1500 5537+000 5613+000 5688+000 5163+000 5 912000 6060+000 6244000 6427+000 6608+000 6 788+000
Page 115
TA8Le 12
THE ENTROPy OF THE TOTAL HE3 - HE SOLUTION
5 (J140LE-K)
~ 011001 00002 00005 00010 00020 00030 00040 00050 00060 00080
UO
0000 0001 0002 0003
0000+000 7128_004 1271-003 16111-003
0000+000 9212_004 1751_003 2411_003
0000+000 126-003 2495_003 3651_003
0000+000 1598_003 lI BO-003 4129_003
0000middot000 2019_00l bullbull 030-003 0026_003
0000+000 2316_003 4626_003 6927_003
000(1+000 21554_003 ~103_003 7t II _OO3
0000+000 c75_003 50-003 8255_003
0000+000 2933_003 5 8h_003 8790_003
0000+000 3239- 003 677-003 9110-001
000 1996-003 299B_003 4701-003 62l2-003 7997-00l 9212_003 10111-00~ i099-002 1171-002 1 29-002
0006 2464-003 3866-003 6483-003 8966-003 1 IB2-002 10371-002 15111-002 1middot-002 1 151-000 1 937-002 0008 0010
2806-003 3075-003
bullbull520-003 503-003
7923-003 9117-003
1136-002 1345-002
151-002 1872-002
1805-002 2219-002
2009-002 2483-002
21 7A-002 2701-002
2l25-00l 28B9-002
2middot~15-002 3a 06-OO2
0012 3298-003 5477-003 1013-002 1527-002 2176-002 2609-002 29311-002 320A-002 30440-002 3 1129-002 0014 3486-003 5847-003 1101-002 1689-002 2 bullbull54-002 2973-00 3371-002 3697-002 3975-002 4439-002
0016 36M-003 6PI_003 1178-002 1833-002 2708-002 3314-002 3782_002 bullbull 165-002 4491-002 5035-002 Omiddotou 0020
3796-003 3926-003
6457-003 6115-003
1247-002 1310-002
1964-002 2082-002
292-002 3159-002
3633-002 3931-002
41 70-002 4536-002
611-002 5037-002
bullbull988-00l 5466-002
51115-002 6178-002
0025 0030
bullbull 202-003 4428-003
72amp3-003 7712-003
1bullbullbull4-002 1554-002
2339-002 2554-002
3amp36-002 bullbull 01-002
bullbull 598-002 5174-002
53amp9_002 60 99-002
6016-002 1188-002
6573-00l 7568-002
705-002 821-002
0035 bullbull620-003 8094-003 1648-002 2737-002 bullbull 392-002 5678-002 6745_002 7660-002 8 bullbull64-002 9833-002 0040 0045 0050 0060
4786-003 bullbull 934_003 5066_003 5295-003
8425-003 8717_003 8980_003 9435_003
1730-002 1802-002 1867-002 1980-002
2898-002 3040-002 3168-002 331-002
4702-002 bullbull 978_002 522a-002 5664_002
6127-002 6529_002 6890_002 7536_002
7323middot002 7844-002 831 9_0112 91)1-0n2
80359-002 0993-002 9573-002 1060-001
9277-00l 1002-001 1070-001 1191-001
1085-001 1179-001 1266-001 1 4Z1-001
0070 5bullbull90-003 9822-003 2075-002 3581-002 6037-002 8086-002 9879_002 11middot9-001 1296-001 557-00 0080 0090 0100 0120
5661-003 581middot-003 5913-003 6200-003
1016-002 06-002 1073-002 1120-002
2158-002 2Z32-002 2298-002 2414-002
376-002 3801-002 4022-002 4250-00Z
6362-002 6650-002 6908-002 7358-002
1566-002 1051-001 8993-002 10107-01)19378-002 11 58-001 100S-001 1241-001
1227-001 1297-001 1359-001 1middot469-001
388-001 1 471-001 1 546-001 1676-001
1 677- 00 1 1185-001 1883-001 2middot0SS-001
01middot0 6419-003 1161 002 2512-002 444-002 771-002 1062-001 1322_001 1S63-001 17811-001 2202-001 0160 6623-003 11 98_002 2599-002 bullbull 613-002 8075-002 1111-001 11118_001 l64S-OOl 1886-001 2 331-1101 0180 0200
687-003 7007-003
1232-002 1264_002
2677_002 2748-002
4764-002 bullbull901-002
8371-002 8638-002
115S-001 1195-001
1bullbull46_001 1499_001
10717-001 1782-001
1972-001 2050-001
Zmiddot6-001 2 5bull 9-001
0250 7493-003 13middot1-002 2908-002 S200-002 9212-002 1280-001 1lIll-00l 1922-001 2217-001 2 169-001
0300 A030-003 1417-002 3053-002 5bullbull57-002 9696-002 1351-001 1704 -001 20311-001 2355-001 2 951-001 0350 0400 0bullbull50 0500
8655-003 9396-003 1028-002 1middot114-002
1bullbull99-002 1590-002 1693-002 1812-002
3192-002 3333-002 3480-002 3638-002
5693-002 5916-002 6137-002 6360-002
1012-001 1051-001 1088-001 1123-001
1bullbull12-001 1middot68-001 1519-001 1568-001
1785-001 1851-001 19Z3-001 1985-001
2]37-001 2226-001 2)06-001 2381-001
2bullbull73-001 2571ll-001 2673-001 2761-001
]107-001 ]i5-001 3 369-001 3 483-001
0550 12i8-002 1948_002 3810-002 6S92-002 1158-001 1615-001 2043-001 0451-001 283-001 3588-001 0600 0650 0100 0750
1bullbull04-002 15110-002 1808-012 2122-00Z
2105-002 2291_002 2527_002 2851_002
3999-002 bullbull215_002 bullbullbull79_00Z bullbull828_002
6835-002 7101-002 7411-002 7803-002
119-001 1230-001 1270_001 1318_001
1661-001 1707_001 1756-001 1813_001
2100-00)21S6_001 2H5_001 2280-001
2519-001 21585-001 265]-001 2726-001
2921-001 2998_001 3075-001 3156-001
]688-001 ]8-001 3879-001 3978-001
0800 2576-002 3312-002 531 4-OOZ 8329-002 1379-001 1881-001 2356-001 2Al]-001 329-001 ~O87-001
0850 0900
3238-002 middot19O-OOZ
3981-002 4941-002
6005-002 698amp-002
9058-002 1007-001
1middot59-001 1568-001
1969-001 2085-001
2452-001 257-001
2914-001 3043-001
3359-001 3bullbull96-001
4 212-001 4 363-001
0950 55gt7-002 6285-002 8350-002 11middot7-001 171-001 2238-001 Z734-001 209-00 3669-001 58-001 1000 7351-002 8middot11-002 1020-001 1335-001 1908-001 2 bullbull311-001 2940-001 3 bullbull22-001 3887-001 4 raO-OOl
1100 1288-001 1366-001 1577-001 1898-001 2483-001 302-001 3538_001 4031-001 4507-001 5 4 22-001 1200 1300 1400
218-001 34H-001 5367_001
2246-001 3S61-001 5447_001
2bullbull61-001 3778_001 5667_001
2787-001 4108-001 6001-001
3381-001 bullbull 711-001 6611_001
3933-001 5271-001 717B_001
bullbull 456 0111 5803_001 771 11 _001
bullbull959-001 11315-001 8237-001
5446-001 6810-1101 8739_001
6381-001 762-001 9 106-001
1500 79110 001 8061-001 8282-001 8619-001 9236-001 9809-001 103S+000 108+000 1139000 1middoti37middot000
Page Ilb
TAlK 12 CONTINUED)
IJMOLE-K)
00100 00150 00200 00250 00300 00350 00400 00450 00500 00550 ~ ItO
0000 0000+000 1)000000 0000000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0000+000 0001 31500-003 4035_003 4470_003 4844_0n3 5115_003 547_003 5752_003 6009-003 6250_003 6 477-003 0002 69Q9-003 8070_003 8939_00 3 9686_003 1035002 1095_002 11 5deg_002 202-0OZ 1250-002 1295-002 0003 1049_002 1210_002 1341-002 1453_002 1552-002 1642_002 172)_002 1802-002 1875002 1 943002 0004 1399_002 1613_002 1787_002 1937-002 2069_002 219n_002 2 bull 011-002 2403-002 2500-002 2 591-002
0006 ~OQS-002 2418-002 2679-002 2904-002 3103-002 3284-002 3450-007 3middot604-002 3749-002 3R85-OO2 0008 27~7-002 3220-002 3569-002 3869-002 4135-002 4376-002 415911-002 4middot~04-002 4997-002 5 179- 002 0010 3474-002 4018-002 4457-002 4833-002 5166-002 54-002 5745_002 iIiOOl-002 6244-002 amp472-002 0middot012 4154-002 4812-002 5341-002 5794-0n2 6194-002 6557-002 68911-002 7200-002 7490-002 1 4-002 0014 41125-002 0600-002 6221-002 6751-002 7220-002 7644-002 8033-0112 8]95-002 8734-002 ~U54-002
0016 54A4-002 ~382-002 7096_002 7705-n02 8242-002 8728-002 91 74-OO 95811-002 9976-002 1 034- 001 0018 6131-002 7155-002 7965-002 8654-00 9261-002 9809-002 1031 -001 10711-001 1122-001 163-001 0020 6763-002 7918_002 8827_002 9SY7-0n2 1028_001 1089_001 1145_001 11 97-001 1245-001 I Z9 1-001 0025 8272-002 9775_002 1094_001 11 93-001 1279-001 1356-001 1427-001 1492-001 1S53-001 1 611-001 0030 9675-0n2 1155_001 1300-001 1 420-001 1526_001 1620-001 170S-00t 1785-001 1859-001 1928-001
0035 1097-001 1323-001 1497-001 1642-01l1 1767-001 1879-001 1980-001 1074-001 2161-001 2243-001 00 40 121 8-001 14S1-001 1686-001 1855-001 2002-001 2132-001 22511-001 ]59-001 2460-001 2 554-001 0middot045 1middot39-001 1631-001 1866-001 2061-001 2230-001 2379-001 251 4-001 263A-001 2753-001 2 861-001 0050 143-001 1771-001 2038-001 2259-001 2 450-001 2620-001 27Ta-001 2912-001 3042-001 3middot164-001 0060 16O-001 2030-001 2356-001 2630-001 2 867-001 307E1-001 368_001 3441-001 3602-001 3 152-001
0070 1785-001 2261-001 2646-001 2971-001 3255-001 3507-001 373+-001 3943-001 4136-001 4 315-001 0080 192-001 2469_001 2909-001 3285-001 3613-001 3907-001 4173_001 4416-001 46112-001 4852-001 0090 20115_01)1 2659_001 3151-001 3574_001 3946_001 4280-001 4584_001 4863_001 5122_001 5363 001 0100 20185-001 283Z-001 3373-001 384 1-001 4256-001 4630-001 4971-001 5284-001 5576-001 5 848-001 0120 2397-001 3llY-001 3769-001 4322-001 4816-001 5264-001 5 76_001 6057-001 6 412-001 6 146-001
0140 2579-001 3405-001 11115-001 4743-001 5309-001 5827-001 6305-001 749001 7165-001 7557001 0160 2738-001 639-001 44211-001 5117-001 5750-001 6331-001 68711-001 7374-001 7847-001 8 294 - 0010180 2880-001 3848-001 4694-001 5453-001 6146-001 6786-001 782-0111 7 941-001 8461-001 amp967-001 0200 3008-001 4036-001 4941-001 5758-001 6507-001 7201-001 750-001 bullbull 46f)-001 9038-001 586-001 0250 32A2-00l 4441-001 5473-001 6415-001 7286-001 8100-001 8866-001 9591-001 1028+0011 1 094000
0300 35t18-001 4715-001 5915-001 6962-001 7936-001 8852-001 9718-0()l 054middot000 1133+000 1208+000 0350 3702-001 5062-001 6293-001 7430-001 8494_001 9497-001 1045 +000 11 36000 1223+000 1 307+000 0400 3872-0111 5313_001 66211-001 7841-001 8983_001 1006+000 110Y00O 1208+000 1303000 1 394+000 0450 4025-001 5538_001 6920-001 8207-001 9418-001 1057000 1161+000 1272+000 1374+000 1472+000 0500 4164-001 5742_001 7188-001 8538-001 9812-001 1103+000 1219+000 1330+000 1438+000 1542+000
0550 4293-001 5929-001 7433-001 8841-001 1017+000 1144+000 1266+000 1383+000 1496+000 1606000 0600 445-001 6middot104-001 7661-001 9121-001 1051+000 1183+000 1311hOOO 1432+000 1550+000 1665+000 0650 45~0-001 ~269-001 7875-001 9384-001 1082+000 1219+000 13511000 1middot478middot000 1601+000 1120+000 0700 4644-001 ~428-001 8079-001 9633-001 1111+000 1253+000 1389+000 1520+000 1648middot000 1 172+000 0750 47110-001 6586-001 8280-001 9876-001 10140+000 1285middot000 1426+000 561+000 1693middot000 1821+000
0800 48114-001 6750-001 8483-001 1012middot000 1168middot000 137+000 146Z+000 1601000 1137+000 1869000 0850 5024-001 6927-001 8697-001 1037+000 1197+000 1350+000 1498000 141+000 1780+0011 1916+000 0900 5189-001 7127_001 8932-001 1064000 1227000 1384+000 1535+000 1682000 1824+000 1 963+000 0950 5388-0111 7359_001 9196-001 1094+000 1260+000 1420+000 1574+000 1724middot000 1870middot000 2012middot000 1000 56~2-001 7633-001 9502-001 1127+000 1297000 1460+000 11 7+000 770+000 1919+000 2 064000
1100 62Q7-001 8354-001 1028middot000 1211+000 1386middot000 1554+000 171 7+000 1876middot000 2030middot000 2181+000 1200 7275-001 9382-001 1136+000 1323+000 1503+000 1677+00( 1845000 008+00Q 2167+000 2 323000 1300 8674-001 1082+000 1284+000 1476+000 1660+000 1838+000 201lhOoO 2178+000 2341middot000 2 501000 1400 10gt3+000 1282+000 1487middot000 1683+000 1871middot000 2052+000 2228+000 239q+000 2566+000 2 730+000 1500 1330+000 1552middot000 1761+000 1959+000 2150+000 2334+000 21113+000 C687middot000 2857+000 3 024+000
Page 117
TA8LE 12 (CONTINUED)
S (JMOLE-Ilt)
~ 00600 00640 00650 00700 00750 OOAOO 00900 01000 01100 01200
110
0000 0001 0002 0003 0004
00110middot000 6613-003 1339002 2008-002 2677-002
0000middot00(1 6858_003 1372_002 2057_002 273-002
0000middot000 6899_00 3 1380002 207(1-0022759002
0000000 7096-003 1419002 21 29-002 2838_002
0000000 7285-003 1457_002 2185_002 2914002
0000000 7467-003 1493_002 2240_002 2987_002
0000000 781 4-003 163_002 234-002 3125-002
0000000 -139-003 162111-002 2442-002 3255-002
0000middot000 8447-003 1689-002 2534-002 3319 002
0000000 140-003 1r48-002 2622-002 3496002
0006 0008 0010 0012 0014
4015-002 1113152-002 66118-002 1103-002 1307-002
411 4-002 5484-002 6854-002 8222-002 95d9-002
41311-002 5517-002 6894-002 8271-002 9640-002
42S7-002 5675-002 7092-00 2 8508-002 9923-002
4370-002 5826-002 728 1-002 8735-002 1019-001
4480002 5972-002 7464-002 8954-002 1middot0-4-001
481-002 6249002 7AlII-002 9371-002 1093-001
4A83-002 6510-002 81 36-002 0761-002 11 39001
5067-002 6756-002 8444-002 1013-001 10182-001
5243-002 990-002 8 737002 1048-001 1223-001
0016 0018 0020 0025 0030
1069-001 1202-001 1335_001 1665-001 194 001
1095-001 1232_001 1368_001 1707_001 2045_001
1102-001 1239-001 1376_001 1118-001 2057_001
1134-001 1275-001 1416_001 1767-001 2117-001
1164 001 1309001 1 454 001 1 8 15_001 2174-001
1193-001 1 342-001 1490_001 1861_001 2230-001
1249 _001 10--0011560_001 1948_001 233S 001
1301-001 1463-001 1625_001 2030-001 2433-001
1350-001 1519-001 1 687_001 2107-001 2526-001
1397-001 1572-001 146 001 2181-001 Z615-001
0035 0040 0045 0050 0060
2321-001 2644-001 29t3-00l 3278-001 3892-001
2380-001 2712-001 3040-001 3365-001 3999-001
2394-001 2728-001 3059-001 3386-001 4025-001
2465-001 2809-001 31 51-001 3489-001 -1gt2-001
2532-001 2887-001 3139001 3588-001 4272-001
2597-001 middot2961-001 3323-001 3682-001 4388-001
2720-001 3103-001 34U-00I 3861-001 405-001
20135-001 3235-001 3middot632-001 402111-001 411109-001
2944001 3360-001 3773-001 4185-001 5000-001
3047-001 3478-001 )907001 4334-001 I5181-00
0070 0080 0090 0100 0120
4484-001 5049-001 5589middot001 6104-001 1059-001
4612 001 5199_001 5761-001 6298_001 7298_001
4643-001 5236-001 5803-001 6345middot001 7357-001
4794-001 5412-001 6006-001 6575-001 7639-001
4937-001 5580-001 6199-001 6193-001 7908-01
5075001 5741-001 6383-001 7001-001 8166-001
5334_001 6042_001 672901)1 7393_001 850-001
5575001 6323-001 7051-001 7757-001 9100-001
5801-001 6585-001 7351-001 8096-001 9520-001
6015-001 834-001 70635-001 8 416-001 9 916-001
0140 0160 0180 0200 02S0
7927001 8718-001 441-001 1011000 1157middot000
8210-001 90_2-001 9805-001 10UmiddotOOO 1206000
8218001 9121-001 989-001 1061000 1218 000
8613-001 9506-001 1033000 1109000 1276000
8933-001 9814-001 1014000 1155000 1332000
9239-001 10023middot000 1114000 1199000 1386000
9tH5-00l 1089000 11 9(01121283000 149(000
1035000 152000 12600001362000 588000
1085middot000 1210000 10327000 1-36000 16110-000
1133000 1 265000 1389+000 1506-000 1 168000
0300 0350 0400 0450 0500
1281000 1388_000 14A2middot000 1566 000 143000
1337_000 1450000 1551+000 1640000 1721_000
13510000 1466000 1567000 1658000 1741000
14111000 1sectAoI-0001650000 178000 1836000
1483000 1615000 17JhOOO 1835000 1929000
1546000 1686000 1809_000 1919 000 2020000
1 68000 IA22000 1960000 2083000 21 95000
1782000 1952-000 104000 239000 2363000
1891+000 2016000 2241000 2389+000 2524000
1995000 2195middot000 z37J000 2S34000 2679middot000
0550 0600 0650 0700 0750
1712- 000 1771-000 1836000 1892-000 1946000
1795000 1864000 1927000 1987000 2043000
1816000 1885000 1949middot000 2010000 2067000
1917000 1991+000 2060-000 21Z5middot000 21 86000
201 5000 2094middot000 2168middot000 2237000 2303000
2111000 2195000 2274middot000 2347middot000 2417000
2297000 23910000 2479000 2561000 2638000
2475000 2579000 iI~76middot000 2767000 2852000
2647000 2761000 2867000 2966000 3059000
2amp13middot000 2937000 3 051000 3 159000 3260000
0800 0850 0900 0950 1000
1917-000 2048000 2019000 2151000 22116000
2098-000 2151000 2205+000 2260000 2317000
2123000 2177+000 2231middot000 2287-000 2344000
2245-000 2303-000 2361-0110 2419000 2480000
2366000 2 427000 2488+000 2550000 2614000
2483-000 2548000 2613000 2678-000 2745-000
27tl-00O 278bmiddot00o 2A56+000 2927000 3000-000
934000 3013000 3091000 ~16C100o 3247000
3149000 3235+000 3319000 3403middot000 3488middot000
3357 000 345 0000 3541000 3 631000 3 122000
1100 1200 1300 1400 1500
2328000 2475000 2658+000 2890000 3186000
2444000 2594000 2780000 3015_000 3315000
2472000 2624middot000 2811-000 3047_000 3346000
2614000 2770middot000 2961000 3201000 3503_000
2752000 291 4 000 3109000 3352000 3658+000
2889000 3055-000 3255_000 35010000 3810000
31 55 000 3331000 31J39_000 3792_000 4107000
3413000 3599000 3815-000 -07tmiddotOOO 4396+000
366000 3860middot000 40114000 4352000 4678000
3 909000 4114middot000 4347000 4622-000 4953-000
Page 118
TABU 12 (CONTINUED)
S CJMOLE-K)
01300 01400 01500 01600 01800 02000 02250 0241100 02750 03000~ 11lt1
0000 01100-000 0000-000 0000-000 0000-000 0000-000 0000-000 0000-000 0middot000-000 0000-000 0000-000 0001 9020-003 9288_003 9547-003 9797-003 1027-002 1072-002 1126-002 1177-002 1225-002 1212-002 0002 1804-002 18S8_002 1909-002 1959-002 2055_002 2145_002 225Z_002 235~-002 2450_002 2544-002 0003 2706-002 2786_002 2864_002 2939-002 3082-002 3217-002 3378_002 3530-002 3676-002 3816-002 0004 3608_002 3715_002 3819_002 3919_002 4109_002 4290_002 4t03_002 4707-002 4901_002 50811-002
0006 5411-002 572-002 5728-002 5878-01)2 6164-002 6434-002 6755-002 7060-002 7351-002 7 632-002 0008 7214-002 7429-002 7636-002 7836-002 8lin8-002 8579-002 9006-002 412-002 9801-002 1 018-001 0010 901 7-002 92lt6-002 9545-002 9795-002 1027-001 1072-001 1126-001 11 76-001 1225-001 1272-001 0middot012 1middot082-0n1 1middot114-001 1145-001 11 75-001 1232-001 1287-001 1351-001 1412-001 147 0-001 lmiddot526-001 0014 1262-001 1300-001 1336-001 1371-001 1 438-001 1501-001 1576-001 1647-001 1715-001 1 78O-OOt
0016 1442-001 1485-001 1527-001 1567-001 1643-001 1715-001 11101-001 882-001 1960-001 2035-001 0018 162-001 1670-001 111 1-001 1762-001 18U-00I 1929-001 2026_001 2117-001 2205-001 2 289-001 0020 1802-001 1856_001 1908-001 1958-001 2053-001 2143_001 2 2~1)-001 2352-001 2 449_001 2 543-001 0025 2251-001 23I8-001 2383-001 2446-001 2565-001 2678-001 21112-001 2939-001 3061-001 3178-001 0030 2699_001 27~0-001 2858_001 2933-001 3017_001 3213_001 3373 _001 3526-001 3672-001 312-001
0035 3146-001 3241-001 3332-001 34Z0-001 3587-001 3746-001 3934-001 4112001 4282-001 4 446-001 01140 3591 - 001 3700-001 3804-001 3905-001 4091-001 4278-001 4493-001 4697-001 4892-001 5 079- 0n 0045 4035-0111 4157-001 4275-001 4389-001 4605-001 4809-001 5051-0nl 528-001 5501-001 5712-001 0050 4477-001 4613-001 4744-001 4871-001 5112-0111 5339-001 5609-001 5A64-001 6108-001 6 343-001 0middot060 h 33-01l 1 551 8001 5677-0111 58Z9-001 6120-001 6394-001 671 9-001 7026-001 7320-001 7 tl 03-001
0070 6218-001 6413-001 6599_001 6779-001 7120001 7442-001 7822_0111 8182-001 8526-001 8857-001 0080 709-001 7294_001 7509-001 7717-001 8110-001 8481-001 891 8OII 9331-001 9726-001 1 010000 0090 7903-001 8160-00 8405_001 8641-001 9088-001 9508_001 1000000 1047- 000 1092000 1135-000 0100 8719_001 9008_001 9284-001 9549-001 1005000 1052000 1108_000 1160middot000 1210-000 125hOOO 0120 1029000 1065000 1099000 1131+000 1193_000 125000 131 8000 i382middot000 1 443_000 1 501+000
01 40 1177+000 1220middot000 1261-000 1300middot000 1373+000 1442000 1523000 l59A-000 1670-000 1 139000 0160 1317middot000 1367middot000 1414middot000 1460middot000 1546-000 1626middot000 1720-000 1808middot000 1891+000 1971-000 0180 1449+000 1505-000 1560000 1612-000 1710000 1802-000 1909000 2010-000 2105middot000 2196middot000 0200 1572middot000 1636middot000 1697-000 1755-000 186hOOO 1969+000 209000(1 2204middot000 2311-000 2414-000 0250 1852middot000 1932-000 2009000 2083middot000 22Z4000 2356middot000 Zt1 hooo 265middot000 2794-000 2 926-000
0300 2095-000 2190middot000 2283000 2372middot000 2541-000 2700-000 2888000 306-000 3232+000 3392-000 0350 2309-000 2419_000 2 1 525000 2 162811110 2823000 300e-ooo 3221_0110 3433-000 3630-000 3U+000 0400 2500middot000 26Z3_000 2742+000 2857+000 3 1 017000 3286000 3534 _000 ~769-000 3992000 4206middot000 0450 2673000 2808_000 2938000 3065_000 3308_000 l539_000 381 4000 4075+000 4324+000 4 563000 0500 2830000 2976_000 311 7_000 3254+000 3519_000 377hOOO 4071 0110 4356-000 4630_000 1193000
0550 2974+000 3130-000 3281middot000 34Z9middot000 37I3-000 3984+000 4308_000 4jI17-000 4913middot000 5198-000 0600 3101middot000 3middot272+000 3433000 3590+000 3892+000 4182-000 4528000 459-000 5176middot000 15483+000 0650 3231middot000 3405+000 3574middot000 3740000 4060000 4366middot000 4733000 50 084middot000 5422-000 5 749-000 0700 3346+000 3529000 3707-000 3880middot000 4216000 4539middot000 4925000 5296000 5653-000 5999000 0750 3456+000 3middot646-000 3832-000 4013middot000 4364+000 4702-00n 5107000 549j1-000 5871-000 6235-000
0800 360middot000 3757_000 3950middot000 41 39-010 4504000 4856-000 5279+000 586-000 6078middot000 6459000 0850 360-000 3864-000 4064-000 4260+000 4639middot000 5004-000 5444middot000 51116-000 6276-000 _6 612-000 0900 3757000 3968000 4175+000 4377+000 4169000 5147_000 502_000 6041+000 6 465-000 6 877000 0950 3854000 4011000 4283-000 4491-000 4896000 5286+000 5756000 6210+000 6649_000 7 075000 1000 3950-000 173000 4391_000 4605-000 5021_000 5423000 5901000 375000 6828000 7 268_000
1100 414hooo 382middot000 4611-000 4836middot000 5272middot000 5695-000 620S+000 6699-000 7177+000 7 643000 1200 43~2middot000 4606-000 4844-000 5078-000 5534-000 5975000 6508000 702middot000 7526-000 8 01 4-000 1300 4604-000 4855+000 5102-000 5344-000 5816+000 6273middot000 61127middot000 7363-000 7884middot000 13392-000 l400 4886-000 5144-000 5398middot000 5647middot000 6133-000 6604-000 7174+000 772emiddot000 8266middot000 13191-000 1500 5223middot000 548hOOO 5746middot000 6001middot000 6498-000 6980-000 7565-000 81 32000 8684middot000 9223000
Page 119
TABLE 13
THE ENTHALPY AND EXCESS ENTHALPy OF THE TOTAL HE3 - HE4 SOLUTyON
X bull 00001 X bull 00002 X bull 00005 It bull 00010 X bull 00020
T -H HE -H HE -H HE -H Hp -H HE IKI (JMOLE) IJMOLEI IJMOLEI (JMOL1 IJMOLEI IJMOIEI IJMOLpoundI fJMOIEI IJMOLEI IJMOLEI
0000 0001 0002 0003
3905631 3905631 3905631 3905630
-000021 -000021 _000021 -000021
3905261 3905261 3905261 3905261
-000042 -000042 -000042 -000042
3904151 3904151 3904150 3904150
-000104 -000104 _000103 -000103
3902297 39112297 3902296 3902296
000203 -000203 _000 202 _000 202
3898580 3898580 3898579 38 98579
_000392 _000392 000391 _000391
0004 3903610 _000021 3905260 -000042 3904150 _000103 3902296 _0 00202 38 985711 _000390
0006 3905630 -000021 3905260 -0110041 3904149 -000102 3902294 -000200 3898576 _000388 0008 0010 0012 0014
3905630 3905630 3905629 3905629
-000020 -000020 -000020 -000020
3905260 3905259 39 05259 3905258
-00004i -000040 -000040 -000039
3904148 3904147 3904146 3904145
-000101 -000100 -000099 -000098
3911229 39(12291 3902289 39CI2287
-00199 _000197 -000195 _000193
3898574 ~89851l 38 bull98567 3898561+
_000386 _000383 _000l80 000376
0016 3905629 -000019 3905258 -000039 3904143 -000097 3902284 -000191 3898560 _000313 0018 0020
3905629 3905628
-000019 -000019
3905257 3905257
middot000038 -00003$
3904142 3904141
-000095 000094
3902282 3902280
000189 -000186
3898556 3898552
_000369 _000365
0025 3905628 -000018 3905255 -000037 3904138 -000091 3902274 000181 3898541 000355 0030 3905627 -000018 3905254 -0110036 3904135 middot000089 390228 _000115 3898530 _000344
0035 3905627 -000017 3905253 middot000034 3904132 -000086 39022(12 middot000170 38 9851 9 _000333 0040 3905626 middot000011 3905252 -000033 3904129 -000083 3902216 000164 3898507 000323 0045 3905625 middot000016 3905250 -000032 39 04126 middot000080 3902210 -000159 3898495 0middot00312 0050 3905625 -000016 3905249 -000031 3904123 -000077 3902244 000153 3898483 000301 0060 3905623 -000014 3905247 -000029 39 04117 middot000072 3902232 -000142 3898459 _0middot00280
0070 3905622 -000013 3905244 -000027 3904110 -000066 3902220 -000131 3898435 000258 0080 0090
3905621 3905620
-000012 000011
3905242 3905239
-000024 -000022
39 04104 3904098
-000061 _000055
39112207 3902195
_000120 000110
38 98411 38 98387
000237
0002 16 0100 39056 18 -000010 3905237 -0110020 3904092 middot000050 39021A3 -000099 3898362 000195 0120 3905616 -000008 3905231 -000016 3904079 -000039 39112118 000078 3898313 000153
011+0 3905613 -00006 3905226 -000012 3904066 middot000029 3902132 000058 3898263 000113 0160 3905610 middot000n04 39115221 -000001l 3904053 -000019 3902107 000038 1898213 000073 0110 0200 0250
3905606 3905603 3905592
-000002 000000 000005
39 05215 39(15209 3905191
middot000004 000000 000010
3904040 39 04026 39 03990
middot000009 000001 000025
3fh020lH 3902055 3901 988
000018 000002 000050
3898163 38 bull98112 3897983
000034 0middot00005 000101
0300 3905577 000010 3905110 000019 3903951 000049 3901 9 19 000097 38 97850 000196 0350 3905557 00001 4 39115144 000029 3903906 000072 3901841 000 145 3191712 000291 0400 3905529 000019 3905110 000031 3903853 000096 3901157 000191 3897566 000384 0450 0500
3905491 3905441
000024 000028
3905066 3905009
000047 000057
3903790 3903115
000119 000142
3bullbull01664 3bullbull 015i1
000238 000284
3897410 3897242
000416 000568
0550 3905375 000033 39 04938 000066 3903625 0001 64 3901 436 000329 3891058 000659 0600 0650 07BO 01 0
3905291 3905181 3905927 3904 99
000037 000042 000046 000051
3904848 3904731 39 04571 39 04336
000075 000084 000093 000101
3903516 39 03381 39 03202 3902949
000187 000209 000232 000254
390126 3901130 39 09203900636
000374 000419 000463 000507
3896856 3896628 38 bull96356 38 bull96009
000749 000839 000927 0middot01015
0800 3904446 000055 3903978 000110 3902511 000275 3900227 000551 3195539 001102 0850 0900 0950 1000
3903900 3903065 3901826 3900046
000059 000064 000068 000072
3903425 3902584 3901339 3899553
000119 000127 000136 000144
3902000 3901141 3899871 3898073
000297 000318 000339 000360
3899625 3898735 3197441 3895601
000594 000636 000611 000720
3894815 3893923 3192569 3890613
001188 001273 001357 001 440
1100 31942)5 000080 3893710 000160 3892195 000401 31189669 000801 3884611 001603 1200 1300
3184068 3867610
000088 000096
3883551 3867012
000116 000191
3882002 31 65500
000440 000478
39 79418 3162863
0Dn880 000955
3874252 38 57588
001160 001 911
1400 1500
3842097 3804138
000103 000110
38 bull 41559 3803592
000206 000219
3839947 3801954
000514 000548
3837260 37 99224
001 028 001 096
38 31887 3793163
002055 002193
Page 120
TABLE 13 (CONTINUEO
l( bull 00030 X bull 10040 X bull 00050 X bull 0060 )( 00080
T bull lot HE -H HE -H HE -H HF -H HE (K (JMOL) (JMOEI IJMOLE) (JMOLE) (JMOLEI (JMOLE) (lMOE IJMOLE) IJMOLEI tJMOLE)
0000 0001 0002 0003 0004
38948l2 3894852 38948l2 3894851 3894850
-000570 -000570 -000570 _000569 000568
3891116 3891116 3891116 3891115 389 111 4
-0bull 00740 -000740 -000740 -000739 -0007311
38117372 3887372 3887372 3887371 3887370
-000902 -000902 -000902 -000901 -000900
3883622 3883621 31=1 83621 38 83620 3A83619
_001058 -001058 00)05700056 _001055
876101 3876101 3876101 38 76101 38 76099
_001349 _001349 _001349 001 348 _001 347
0006 3894848 -000566 3891112 -000736 3887367 -000898 3883616 -001053 3876096 _001J44 0008 0middot010 0012 0014
3894845 3894841 3894837 38 94832
-000563 -000560 -000556 -000551
3891108 38 91104 3891099 38H093
-000732 -000728 -000724 -010718
3887364 3887359 3887353 3887347
-000A94 -000890 -000884 -000878
31113612 3883607 3A83601 31i83594
-001 049 -001044 -001038 _001032
3876091 3876085 3876079 3876071
001340 -0middot01334 _deg01 328 _001321
0016 3894827 middot000546 3891087 -000712 3887340 -000872 38835A7 001024 3876062 001 312 0018 0020
3894822 3894816
-000541 -000536
3891081 3891074
-010706 -010700
3887332 3887324
-000864 -000857
3A83578 3A83569
-001016 -001008
3876052 38 76041
_001303 0 middot01293
0025 0030
3894801 3894785
-000521 -000507
38 bull91055 38bull91035
-0006112 -000663
38bull 87302 3887279
-000836 middot000814
38 83544 3Abull 1I3517
-000985 -000959
38 76011 3875978
-0middot01265 _0middot01234
0035 3894769 -000491 389101 4 -000644 3887253 -000791 38834118 -000932 3875942 001201 0040 0045 0050 0060
38947~2 3894735 38947 18 3894683
000476
000460 _000444 000413
3890992 38 bull90970 3890948 3890902
-000624 000603 middot000583 000542
3887227 38 87200 3887173 38 8711 6
-000767 _000742 000717 _000666
3883457 3883426 3883394 3883327
000904
000876 _000847 _00(1787
3875904 ~875864 38 75823 38 75737
001166
001130 _001093 _001018
0070 3894647 -000381 3890855 -000500 3887059 -000616 38 tl 3259 -000 727 38 75649 _000940 0080 0090 0100 0120
3894611 3894575 3894538 3894465
-000350 -000318 -000287 -000226
3890807 3890760 38 bull90711 38 bull90614
-000459 middot000418 middot000377 000296
3887000 3886941 38 86881 3886761
-000565 000514 middot0middot00463 -000363
38 tl3190 3883120 38 83049 38 tl2905
-000667 -000607 -000546 -000427
3875559 38 75467 3875374 38 75186
_000862 000783 000705 000548
0140 3894391 middot000166 3890516 middota00216 3886639 middot000263 3882760 -000309 3874995 000392 0160 0180 0200 0250
3894317 3894242 3894167 3893976
middot000106 _000047
000011 000155
3890418 389031 9 389021 9 38 89968
000137 -000059
000019 000210
3886517 3886394 3886270 3885958
middot000165 -000068
000028 000266
3882614 3tl 82467 38 82319 3881946
-000192 000076
000039 000324
3874802 3874607 3874412 38 73918
_000238 000085
000067 000444
0300 3893782 000297 3889712 000399 3885640 000502 3881567 000606 3873418 000819 0350 0400 0450 0500
3893581 31193313 3893156 3892925
000438 000577 000116 000854
3889450 38 bull89180 38 bull88900 3888608
000586 000172 000957 001140
3885317 38bull84985 38 84644 3884289
000736 000968 001198 001427
38~113 3F1 bull807A9 3Abull tl 03A6 3A79970
000886 001165 001 44 1 001 715
38 72911 38 72395 38 bull 71869 38 71330
001191 001561 001928 002Z9J
0550 389Z679 000990 3888300 001321 3883920 001654 3879539 001 9S7 38 70775 002654 0600 0650
3892415 3892125
001125 001259
3887974 38876Z1
0015(11 001680
3883532 3883117
001878 002101
3879089 3A78613
002256 0025Z3
3870202 3869602
003013 003369
0700 0750
3891791 3891382
001392 001523
3887225 3886755
001857 002032
3882659 3882127
002322 002542
3878093 311117499
002789 003051
3868958 38 68241
003722 004072
0800 3890850 001654 3886161 002206 3881471 002758 3876781 003311 3867400 004418 0850 3890114 001783 3885373 002378 38 80622 002973 3875870 003569 38 66366 004761 0900 3889111 001910 38 tl4299 00254A 3879487 003186 3874674 003824 3865047 0middot05101 0950 1000
3887696 3885740
002036 002161
38 bull82822 38 bull80806
00276 002882
3877949 3875872
003395 003603
3873075 3870938
004075 004324
3863326 3861069
005436 005767
1100 3879565 002404 3814512 003206 38 69460 004008 3864407 004810 38 54301 006415 1200 1300
386901115 3852313
002640 002867
386391 8 3847038
003520 003822
3858751 3841763
004401 004718
3853584 3836488
005281 005734
3843Z511 38 25938
007043 007646
1400 3826513 003083 3821139 004111 3815765 005140 31110391 006168 3799642 008Z24 1500 37883n3 003289 3782842 004386 3777381 005483 3771 921 006579 3161000 008772
Page lZ1
TABL~ 13 (CONTINUED)
X bull 00100 I( bull 00150 )( bull 00200 )( bull 0n20 l( bull 00300
T -M HE -H HE -M HE -101 HE -H HE 11(1 IJMOLI) (JMOLEI IJMOLll IJMOLEI IJMOLE) IJMOLEI IJMOLrO IJMOLEI IJMOLEI IJMOLEI
0000 386A5118 -001f18 3849616 -00~2011 3830572 middot002692 31111442 00092 3792236 003416 0001 386851118 001618 3849616 -002206 3830572 -002692 3811441 middot001091 H 92236 003416 0002 0003
3868558 386ASo7
_001611t 001617
38 bull 4961b 38 49615
-00220 -002205
38 30571 3830570
-002691 -002690
3A11441 3811 4 3C1
_00)091 00309 0
]79223J 379i234
003416 _003414
0004 38685136 -001616 849613 middot002204 383069 -002689 3811 438 003088 3792232 0034 13
0006 386852 -001613 middot1849609 -002200 JIt3056 -002685 3811433 -00]084 H 92227 003408 0008 0010
3868547 3868541
middotOOlMIt -001602
]849604 3849596
-002195 -0021111
3830558 3830550
-002679 -002672
38114iJ6 38 11 417
-003078 middot003070
37 bull 92220 3792211
003402
0middot03394 0012 0014
3868534 3868525
001595 -0015ti7
3849588 38 bull 49577
middot002180 -1102171
38 30540 38 30529
middot0middot02664 -002653
3Amiddot11 407 38 113C14
-003061 -003 050
37921 9 3792186
003385 _003373
0016 3868515 middot001578 3849566 -0Cl2160 3830516 middot002642 3A1130 _003038 3792171 _003360 0018 0020 0025
3868504 38611492 3868458
-001568 _001557 001526
3849553 31t49538 384949b
-0U2149 0 02135 -0112098
3830501 3830484 3830437
-002629 _00261 4 002572
3811364 3811346 3111294
003024
003008 _002962
3792153 3792134 3792078
003345 _003329 003280
0030 3868420 0111490 3849448 002054 3830380 002522 311111231 _002908 3792111 0 003222
0035 38611371 -001452 3849393 middot002005 3830316 middot0024b5 3811159 _002845 37 91931 003154 0040 0045
3868332 386112A5
-001411 -001368
38 49334 3849270
-001952 -001895
38302116 3830169
-002403 -002336
3111111179 3~10992
-002175 -00700
3791843 3791746
_00]079 _002996
0050 3868236 -001324 3849203 middot001836 3830088 -002264 3810898 -0026 19 3791642 -002907 0060 3868133 middot001233 849062 -001 712 38 29912 -002113 3AI0694 -002444 3791 4 12 -002713
0070 386806 -001139 3848912 -001582 3829725 -001952 3810472 middot00256 3791161 002501 0080 38679 16 -001044 3848755 -001448 3829527 -001784 3810238 002059 3790892 002278 0090 0100 0120
3867803 3867689 3867457
middot000948 -000852 00065
3848595 3848430 3848093
-001312 -001174 000897
3829322 3829111 3828676
-001612 -001437 -0010
3A0999 31109738 311119211
-0Oi854 middot0Oj645 001 217
379060 3790315 3789701
002044
001804
001308
0140 3867220 -000467 3847748 -000618 3828228 -000721 3A08664 000780 ]71190611 000799 0160 3866981 middot000117 3847398 -000340 3827170 middot000359 311 08103 -000339 3788401 000283 0180 3866740 -000087 3847043 -00001 3827306 000004 3A07533 000104 37 87127 000238 0200 0250
3866498 38658115
000102 000570
3846685 38 45779
000216 000908
3826836 38256113
000367 001275
38116904 3805481
00550 001 669
37 117042 37bull 85295
000163 002086
0300 38652l4 001036 3844860 001598 3824431 002185 303981 002794 3783512 003421 0350 0400 0450
3864636 3863998 3863349
001499 001960 0Ol418
3843931 3842990 3842037
002287 002974 003656
3823205 3821965 3820710
003096 004004 004909
31102462 3A0095 37 99371
003922 000049 0011173
37111103 37 79873 3778023
004763 006106 007447
0500 38626117 002873 3841069 004335 3819439 005809 37 ~n800 007292 3776153 008783
0550 31162009 003324 3840085 005008 3818151 006703 37 96209 008405 37 74262 0010113 0600 0(51) 0700 0750
3861312 38605119 3859823 3858982
003772 004217 004657 005094
3839082 3838052 3836977 3835829
0115678 006342 007000 007654
3816843 38 15507 38 14127 38 12672
00759 1 008474 00 9349 010218
3794597 37 929S7 3791272 37 895J3
009511 0106 10 011 701 012784
3772348 3770406 37 6841 7 376635
011435 012749 014054 015349
01300 3858Gl8 005527 3834558 008301 3811095 011078 3187631 013857 37 64169 016634 0850 0900 0950
3856861 3855419 3853577
005955 006379 006798
3833095 38 31348 3829203
008942 009576 010203
3809327 3807276 3804828
011931 012714 013609
3755C9 37 83204 378 0455
014920 015972 017012
3761 793 37 59136 3756085
017906 019166 020412
1000 3851199 007211 3826524 010822 3801849 014432 3777176 01111040 3752509 021643
10 100 3844194 008021 38 189Z8 012034 3793664 016046 37 68404 020053 3743150 024055 1200 10300
38329 15 38153A8
008804 009559
38070eo 37bull8901
0132011 014337
3781247 37 62644
017608 0019112
3155420 37362110
022003 02388 0
3729600 3709925
026390 028639
1400 1500
3788895 3750079
0010280 010965
37 egt2027 37 22780
0154111 016444
3735165 3695487
020550 0219 17
3708310 36 68202
025675 027381
3681 464 3640927
030 79 1 032836
Page 122
TABlF 13 (CONTINUED)
X bull 00350 X bull 00400 X bull 00450 )( bull 0middotn500 )( bull 0middot05S0
T -H HE middotH HE middotH HE H HE middotH HE (K ~JMOLI) JMOLEI (JMOLE) ~JMOLE) IJMOLEI (JMOLEI (JMOUI IJMOLE (JIoIOLf) I JMOlEI
0000 3772966 -003676 3753637 middot003877 37 3U57 middot004027 37 h8JO 004130 J695360 004190 0001 0002
3772966 3772965
003676
003675 37gt3637 3753636
middot003877 0deg3876
3734257 3734256
004027 -004026
3714829 37 14828
004129 004129
1695360 36 bull95359
004190
004189 0003 0004
377293 3772962
_003674 003672
37 53635 3753633
-003875 -003874
3734254 3734252
-004025 -004023
3714827 37 1482)
-004127 004U6
36 95357 ]69535S
004188
004186
0006 3772956 -003668 37gt3627 middot003869 3734246 -004018 3714818 004121 3695348 _004181 0008 0010 0012 0014
3772948 3772939 3772927 3772913
-003661 -003653 middot003643 003631
375361 9 3753609 3753596 3753581
-003862 -003854 -003843 middot003831
3734238 3734227 3734214 37 34198
-004011 -004002 -003992 -003979
37148O 3714798 3714785 3714768
_004114 -004104 004093 004080
3695339 3695328 3695313 ]695297
_004174 _0middot04164 _004153 0middot04140
0016 3772896 -003617 3753564 n03811 3734180 -003964 37h700 -004065 3695277 _004125 0018 0020
3772878 3772857
-003602 -003584
3753545 3753523
003801 -003783
3734160 3734137
-003948 -003929
37147f 9 37 14705
-004048 -004029
369525S 3695231
004107
004088 0025 0030
3772797 3772725
003533
003472 37gt3460 3753383
003730 -003666
3734071 3733990
-003875 -003808
3714636 3714552
_003973 -0OJ905
369515 3695072
004030 _003960
0035 3772641 -003401 3753294 -003591 3733897 -003731 3714404 _003826 3694cJ70 003879 0040 3772546 -003321 3753193 -003507 3733790 -003643 3714342 -003735 3694853 _003785 0045 0050
3772441 3772326
-003232 -003136
3753080 37 gt2958
-003413 middot003311
3733671 3733541
-003546 -003439
3714217 37h080
-00]633003522
3694722 3694579
_0middot03680 _00356sect
0060 3772075 -002925 3752686 -003086 3733250 middot003200 3713772 -003272 3694256 _003306
0070 3771796 -002693 3752383 -002836 3732924 002935 3713426 002993 3693890 003014 0080 0090 0100 0120
3771496 3771179 3770847 3770150
-002446 -002186 -001917 _001359
n52054 3751704 3751338 3750563
-002568 -002284 -001 98q -001372
3732569 3732190 3731790 3730941
-002647 -002342 002023 001352
3713046 3712638 3712207 37112e8
-002688 _002363 -002021 -00300
3693487 369305J 3692593 3691607
_002693 _002350 _001 988 _001219
0140 37 69420 -000783 3749747 -0U0732 3730043 -000651 3710311 _000543 l69055J _000408 0160 3768665 -000195 3748900 -000076 3729107 000069 37U9290 000240 1689449 000434 01 80 0200 0250
3767892 37 67104 3765089
000401 001002 002524
3748030 3747142 3744863
000 59 1 001266 0029A l
3728143 3727157 3724621
000805 001552 003454
37U823sect 3707103 3704365
001041 001 857 003942
36M306 3687131 3684095
001298 002181 0middot04444
0300 3763027 004065 3742527 004723 3722015 005394 37014q2 006075 3680959 006766 0350 3760932 005617 3740150 006482 3719359 007356 3gt8560 00823M 3677755 009125 0400 0450 0500
3758811 3756667 3754500
007173 008729 010279
3737741 )735305 3732844
008249 010016 011779
3716665 3713940 3711186
009330 011307 013281
31955~4 312572 3~89528
010416 012600 014783
3674500 367120] 3667871
011506 013895 016284
0550 3752311 011824 3730358 013537 3708405 015250 386454 016962 3664505 018671 0600 0650 0700 0750
37 50097 3747853 3745563 3743197
013361 014888 016406 017913
3727846 3725303 3722711 3720044
015286 017027 018756 020474
370sect596 3702754 3699864 3696896
017211 01 9 162 021102 023029
318330 36t0210 31701 36 73704
019132 02 293 023442 025577
36 61107 3657b7c 3654185 3650620
021050 023419 025776 028119
0800 3740709 019408 37172sect4 0 22177 3693805 024941 370364 027697 3646931 030444 0850 3738031 020889 3714274 0 23866 3690525 026837 3666784 029798 3643052 032751 0900 3735072 022356 3711015 025539 3686966 028714 3662926 031 88 0 36 38t96 035036 0950 1000
3731722 3727847
023807 025240
3707366 3703194
0 27194 028828
3683018 3678550
030572 032408
3658680 36 53917
033940 035976
36343sect 3629296
037298 039533
1100 3717903 028048 3692666 0l2033 3667440 036006 3142225 03q96A 3617024 043917 1200 1300
3703789 36fI3S80
030769 033389
3677988 3657246
035137 03812A
3652199 3630925
039494 042853
3126423 360461A
043837 047565
3600662 3578326
0middot48166 052261
1400 10500
3654629 361364
035897 038279
3627806 35 1f6414
0 40989 04370q
3600997 35 59179
046068 049124
35 74204 3531 960
051132 054523
3547426 3504757
056181 059906
Page 123
TA8LE 13 (CONTINUEDI
l( bull 00600 )( bull 00640 )( bull 00650 )( bull 0117(10 )( bull 00750
T (Kl
middotH (JMOL1
tolE (JMOLEI
middot101 (JHOLEI
HE (JMOLEI
middot101 (JMOLEI
HE (JHOLEI
11 (JHOLF1
HI (JMOLEI
104 (JMOLE)
1111 tJMOLEI
0000 0001 0002 0003 0004
]675852 3675852 3675851 3675849 3675847
004212
004212
004211
004i110
004208
]660221 ]660220 36b021 9 3660218 36b0215
middot004205 middot004204 -0042n4 middot004202 -004201
]656310 36 56309 36 56308 3656306 3b 56304
004200 -004199 004199 004197 _004195
36 3671i 36 3675 3636734 3636732 36 36730
004155
004155
004154
004153
004151
HlI7133 ]61713Z 3617131 ]61712 617127
004083
004082
004082 _004080 004078
0006 0008 0010 0012 0014
3675840 3675831 3675819 36758 04 3675787
-004203 -004196 -0041 8 6 -004175 -004161
36deg0208 3660199 1660186 600171 3660154
middot004195 middot004188 middot004178 -0114167 -004153
3656297 365628S 3656275 3656260 36 56242
-004190 -004183 -004173 -004162 -004148
3636723 36$67 13 3636700 3636684 3136666
004146
00138 -004129 -004117 -004103
36 17120 3617109 3617096 3617080 3617061
004073 _004065 _004056 _004044 _0middot04029
0016 0018 0020 0025 0030
3675717 3675744 3675719 3675644 36 75554
-004145 004128 -00410B -004049 003978
3660133 3660110 3660084 ]660008 ]659911
-004137 middot004119 middot004099 -0114040 003967
3656222 3656198 3656172 3656095 3656002
middot004132 00411 4 -004094 middot004034 -0D3901
3636645 3136621 3636594 36 36515 31364 19
-004087 004068 004048 00]987 _00]914
3617040 3617015 36 16i88 36169 06 3616807
004013
003995
003974 _003912 _003837
0035 0040 0045 0050 0060
]675448 ]675327 36751 9 1 ]675042]6747 04
-003894 -003798 -003691 -003572 -003304
3659806 ]6I9682 3659542 3659388 3659 039
-003882 -003784 middot003675 -003554 -003280
3655892 3655767 3655627 3655471 3655120
middot003876 -003778 -003668 -003546 -003270
3636306 3t-36177 3636~]1 3635871 31)55(17
_003826 -003727 00]614 middot00]490 -003207
3616691 36165511 3616409 3616243 3615867
_00]749 _003647 -0middot035]] _0middot03406 -00]U7
0070 0080 0090 0100 0120
]6743i0 3673896 36734~7 ]6 7 2948 36 7 1899
-003000 -002666 002306 001925 -001113
3658641 3658201 1657723 3657214 165611 5
-002967 ~01I2623 -0112251 -001855 -001009
3654719 3654274 3653792 3653217 36 5UM
-002956 -002609 -002234 0011135 _00098 1
3635090 3634626 31341~1 36$35S1 332412
-002884 002525 _002136 -0017c1 _0On 828
3615434 3614953 3614427 3613863 3612637
002785 _0024 16 002014 _001583 000654
0140 0160 01 80 0200 0250
3670772 36695138 36613358 3667093 3663814
-000250 000648 001574 002520 004956
3654932 3653685 3652388 3651051 3647581
middot0001011 0(10834 (101 81)6 002803 005314
36 50970 3649707 3648394 3647040 3643522
-000070 000882 001 866 002875 005479
3631147 36 Z98 10 36 l84 1i 326974 36u~3222
0On129 001133 002173 003242 006011
611307 3609896 360842Z 36 06896 36029 15
000346 001399 002494 00]6210middot06549
0300 0350 0400 0450 0500
36604 19 3656946 36534 14 3649835 3646215
007464 010018 012597 0151 89 011784
3643983 36middot0296 3636544 36 32741 ]628893
008027 010734 013471 016223 018981
3639873 363613] 3632327 3628467 3624563
008169 010 913 013689 016482 019280
3119322 315319 3111240 3117103 3602916
0011878 011 8 11 014781 017172 020171
3598766 3594503 3590155 3585741 3581273
009592 012 109 011172 019059 022258
0550 0600 0650 0700 0750
3642560 3638869 3635139 3631357 3627495
020376 022962 025539 028 102 030651
3625007 36 21083 361711 9 3613101 36 09 002
021737 024488 027229 029957 0 32670
36 206 19 3616638 3612615 3608538 36 04379
022017 024868 027650 030420 033173
31)986115 35 9441 3090099 3085728 3SIJ1275
02171 026767 029753 032727 035685
35767511 3572198 3567593 356292i 3558 182
0middot25459 02Sb57 031 15 47 0middot]5024 038 185
0800 0850 0900 0950 1000
3623508 3619331 361878 36100]9 3604617
033182 035692 038180 0 40643 043071
3604177 3600363 35i5672 3590597 3585010
035364 038037 0 40687 0 43309 0 45903
3600096 3595622 3590872 3585738 3580092
035908 038622 041312 043975 046607
35 76695 3071 925 35b68S0 3obI451 3555512
038624 04 1540 044430 047293 050123
3553307 3548242 1542901 3537179 3530948
041326 04444 047535 050595 053622
10100 1200 1300 1400 1500
35 9 1837 35149 15 355201 3520665 3477572
047851 052480 056941 061212 065271
357698 3554330 3531042 3499269 3455838
050988 0 55920 0 60673 0 65223 0 69549
3566664 3549185 3525792 3493922 3450406
051771 056778 061604 066225 070617
35 4 15 08 35 23472 3499502 3407198 3bullbull c32C9
055674 061059 066249 0 7 1219 075943
3516369 3497716 3473330 3440494 3396133
0middot59561 065322 070875 0 761 93 08149
Page 124
TABLE )3 (CONTINUED
l( bull 00800 X bull 00900 X bull 01000 X 0100 X bull 01200
T -H HE -H HE -101 F -p ME _101 ME (1lt) (JMOLFI JMOlE) (JMOlE (jMOLE IJMOLE IJMOLEI (JMOL (JMOLE IJMOLE IJMOLEI
0000 35 975(14 middot003984 3558178 middot00371R 3518774 middot003374 3479308 002968 3439792 _00~512
0001 0002 0003 000 4
359750 4 35 975 02 35 975nl 35 97498
middot003984 003983 003981 _003980
3558177 3558176 3558174 3558171
middot003717 -0037 17 -003715 -0U3713
3518773 35 18772 3518770 3518767
middot003374 003373 003371 003369
3479307 3479306 3479304 34 79301
002967
002967
002965
002963
34 39792 )43979( ~43978l1 34 39785
002512
002511 _002~10 002508
0006 3597490 middot003974 355EH64 -00370R 3518759 -003364 34 79292 -002957 34 39777 0middot02502 0008 0010 0012 0014
3097480 35 97467 3597450 35 974~1
-003966 -003957 -003944 -003930
3558153 3558139 3558121 35 58101
-003700 -003690 -0113677 -0113663
3518748 3518733 3518715 3518694
-003356 middot003346 -003333 -003318
3479281 3479215 3479247 3479225
middotU02949 -002939 -002926 -0029 11
l43976 )439749 34 39729 3439707
002494 _00lt483 -0middot0~411 002456
0016 35 97409 -003914 3558078 -003646 3518670 -003301 34 79260 002894 34 39681 _deg02438 0018 0020 0025 0030
359 73R3 3597305 35 97272 359 7170
-003895 _003874 _003812 -003736
3558051 3558022 3557934 l557828
-0113627 -003605 -003542 middot003464
3518642 3518611 35 18520 35 18410
-003282 -003260 003195 003116
3479171 3479139 34(9045 3418929
-00(1874 -002852 002787 -002707
3439651 34 396 18 3439520 34 39401
_002418 _0023Y6 _002330 002249
0middot035 3597051 middot003646 3557703 -003372 3518279 -003023 34 78794 -0026 12 34 39260 _002152 0040 35969 14 -003543 3557559 -003267 3518129 -002915 34 786 38 -002502 34390915 _002041 0045 0050 0middot060
3096760 3596590 35 96202
-003426 -003297 -003003
3557398 3557218 3556809
-003147 -003014 middot002709
3517960 3517772 3517343
-002793 -002656 -002344
34 784102 ]47826 34778 18
-00378 -002239 -001 9 19
34389 10 3438713 3438248
-001 9 15 ~001774 _001449
0070 35 917o6 -002663 3556336 -002357 3516845 001980 3477298 _001 546 34 37706 _001067 0080 0090 0100 (l120
3595256 35 947 11 35 9413 3592844
-002284 0011170 001425 -000462
3555804 3555221 3554590 35)3209
-0111960 -001525 -001055 -000030
3516284 3515666 3514995 3513519
-001568 -001115 000623
000458
3476709 34 76059 34 75351 34737A7
-001122 000052 -000141
000988
34 37092 34 36411 34 35669 34 34021
_000633 000150
000378 001552
01 40 3591451 000579 3551696 001088 3511893 001644 347204 002237 3432188 0028~7
0160 3389969 001680 3550078 002277 3510147 002914 34701R6 003582 3430203 004270 01 80 0200 0250
35684]1 35 86808 3582602
002826 004010 007094
35 48376 3546607 3541961
~ 004S14 008198
3508303 3506380 -3501309
0middot04252 005644 0~09313
34 b8206 34 661 35 3460653
005004 00492 010432
34 28 093 3425880 34 20001
005772 0middot07349 ~1l547
0300 3578208 010308 1537088 011745 ]495969 013181 3454858 0146 08 3413762 016021 0350 0400 0450
3573687 3369072 3564385
013608 016960 02031+1
3532060 352691 8 3521688
015401 019125 0 228119
3490444 3484784 3479020
017182 021269 025409
3448846 34+2677 34363116
0lR946 023387 027894
3407273 3400612 3393791
020685 025472 030339
0500 3559637 023738 3516387 026676 3473172 029578 34ii9997 032441 3386869 035257
0550 3554838 02739 35 11025 030472 3467254 033764 3423529 037010 3379855 040204 0600 3549992 030538 3505609 034270 3461274 037955 34169A9 041589 3372762 0middot45165 0650 0700 0750
3545097 3540142 3535101
033930 037309 040672
35(01403494605 3488981
0J8062 0 41843 0 45607
34 55233 3449123 3442920
042143 046320 050482
3410383 341137Q1 33 96923
046167 050738 055293
3365594 3358345 335099)
050131 050090 060035
0800 3529933 044015 340 83227 0+9350 3436584 054622 3390008 059827 3343505 064959 0850 0900
3524573 3518938
047333 050624
3477281 3471060
0 53067 0 56754
3430055 3423250
058735 062816
3382899 33 75514
064332 06e804
33351119 3327857
069854 074713
0950 3512922 053R83 3464460 0 60401 3416068 066859 3367711i3 073236 3319520 079531 1000 3506400 057106 31+57357 0 64020 34 08387 070861 3359496 077622 3310689 084300
1100 3491247 063430 3441059 0 7 1113 3390950 078717 334 0924 086237 329098b 093670 1200 1300 1400 1500
3472100 3447128 34138 10 3369028
069566 075482 081147 086534
3420805 3394785 3360506 3314884
077996 0 84634 0 90992 0 97038
3369593 3342529 3307291 3260833
086343 093699 100747 107449
3318468 3290363 3254171 3206878
094603 102674 1104 08 117764
326743) 323829i1 3201148 3153024
102771 1011554 119971 1279 77
Page 125
TABLE 13 ICONTINUED
lC bull 01300 lC bull 01400 X bull 01500 lC bull 01600 lC bull 01800
T -H HE -H HE -H HE -H HE _H HEIKI IJMOLE IJMOlE IJMOLEI IJMOLE IJMOLE IJMOLEI IJMOLE 1JMOLE I IJMOLEI IJMOLE)
0300 3372687 017413 3331638 018779 3290622 020111 3249642 021 408 3167814 023869 0350 336570 022394 3324222 024067 3282756 02569 32413l~ 3158645 0303070~~860400 3358565 027519 3316572 029524 3274627 03147 3232734 O 3 82 U 49121 0370140450 3351242 032740 3308743 0 35091 3266299 037386 32 t 3912 039624 313933 0439050500 3343192 038021 3300771 0 40731 3257811 043378 32 14914 0415963 3129330 050923
0550 3336238 043341 3292683 0 46417 3249193 049427 3205772 052368 3119154 058027 0600 3328596 048681 3214495 052130 3240466 055509 31bull 96509 05815 3108833 0651900650 3320871 054028 3276218 057856 3231640 061608 1 87138 065284 3098385 0723860700 3313058 059373 l267846 063581 3222712 067711 31middot776~9 071760 3087812 0middot79i990750 3305140 064704 3259363 0 6295 3213668 073804 3168057 078230 3077104 0middot86810 0800 3297079 010014 3250733 074989 3204473 079979 3158299 084681 3066231 094008 0850 3288818 075296 3241902 080654 3195073 085924 314834 091104 3055144 1011780900 3280282 080540 3232793 086281 3185395 091931 31 38090 091488 3043773 1083080950 3271311 085741 3223311 0 91863 3175344 097890 3127473 103823 3032031 115388 1000 3261969 090891 3213340 0 97391 3164807 103794 3iU372 110101 3019808 122406
1100 3241139 101011 3191388 108256 3141738 115402 3092188 122446 29 9340 1036214 1200 3216498 110843 31065660 118816 3114925 126686 30middot64296 134451 2963367 1middot496501300 3186321 120334 3134452 129012 3082690 137583 30310]6 146047 2928067 162633 1middot400 3149228 h29431 3095413 1 38787 3042708 148032 2990114 1057166 28 85274 1 7508710500 3099275 138086 30 45634 1 48086 2992106 157974 2938691 167749 2832218 186942
TABLE 13 ICONTINUED)
lC bull 02000 lC bull 02250 lC bull 02500 lC bull 0~750 lC bull 03000 HET -H -H HE -H HE -H HE -H HE
11( IJMOLE IJMOLEI IJMOLEI IJMOLEI 1JMOLE 1 IJMOLEI 1JMOLE I IJMOU IJMOLE IJMOLE 0300 3086192 026125 2984509 028600 2883270 030630 2182540 032152 2682380 033103 0350 3076190 033094 2973502 036195 28 71296 038815 2169633 040893 2668572 0423680400 3065773 040385 2962000 0 44185 2858742 047469 2156058 050180 2654004 052260 0450 31550~7 LIl 2950113 0 52455 2845736 056461 27 41960 059864 2638842 062610 0500 3044049 055579 29 37921 060926 2832369 165698 2727446 069141 2623204 013302
0550 3032858 063364 2925485 069539 2818712 075113 271252 080034 2607178 084249 0600 3021496 071225 2912844 0 78251 2804815 084653 2697460 090382 25908~9 095385 0650 3009986 0 79 135 2900025 0 87031 2790710 094283 26 82088 100140 2574210 106655 0700 2998333 087069 2887042 095851 2776415 103968 26 66500 111372 2557346 1middot180170750 29amp6531 095011 28bull 73890 104688 2761931 113682 26 50701 121947 2540247 129436
0800 297455 102942 2860548 113521 2747241 123401 2634678 132537 2522906 140881 0850 2962356 110849 2846974 122334 2732307 1033105 2618399 143117 2505295 15232 0900 2949870 118716 2833107 1 3110 2717072 142173 26018 10 153665 2487366 163740 0950 2937011 126531 2818865 139830 2701460 152388 2584841 164161 2469051 175105 1000 2923675 134281 2804149 148484 2685377 1061933 25 67402 174585 2450267 186397
1100 2895075 149537 2772820 165529 2651340 180745 25306T9 195143 2410878 208680 1200 2862897 164390 2737991 10 82134 2613880 199083 24 90606 215195 U 6821g 230428 1middot300 2825511 1078747 2698147 198194 2571536 216828 24 45718 234608 32091 251493 1400 27 80917 192525 2651182 213611 25 22276 233868 23 94238 253257 2267110 271736 1500 2126237 205643 2594485 228294 24 63577 250102 2333551 271027 2204447 2 91030
Page 126
TABLE 14
THE VAPOR PRESSURE 0 HE3 - HE4 50LUTrON~
P (TORR)
~ 00001 00002 00005 0middot0010 00020 00030 00040 10010 00060 00080
110
0300 2102-006 4204_006 1051-001 2101-005 4200-005 6295-005 8386_005 1047-004 1251-004 1670-004 0320 0340 0360 0380
3962-006 6961_006 1153-005 1817-005
7923-006 1392_005 2304_00S 3630-005
198a-005 347 _005 5718_005 9068_005
3919-005 6952_005 1151-004 1812-004
7910-005 1389_004 2298004 3617_004
1185-004 2080_004 3442_004 5417_004
1H9_004 2770_004 4~82004 7209-004
1971-004 3457_004 I717-004 1I991-004
2362-004 4143_004 6849_004 1077-00l
3140-004 s505-004 9099-004 1 431-003
0400 2746-005 5482-005 1369-004 2734-004 5457-004 8170-004 1087-003 t 356-003 10624-003 2156-003 0420 4007-005 7988-005 1992-004 3978-004 7937-004 1188-003 1581-003 1972-003 2361-003 3middot134-003 0440 0460 0480
5680-005 7865-005 l070-0il4
1middotU9-OO4 1555-004 2098-004
2810-004 3860-004 5180-004
56g8-004 76 4-004 1031-003
10 119-003 1534-003 2053-003
1614-003 2294-003 3070-003
2227-003 3052-003 4082-003
2middot777-003 3805-003 5090-003
3325-003 4555-003 092-003
4413-003 044-003 082-003
0500 1437-004 2783-004 681 8-004 1353-003 2691-003 4022-003 5347-003 6665-003 7976-003 1058-002 0520 0540 0560 0580
1916-0Q4 2550-004 3403_004 4569_004
3645_004 4734_004 6120_004 7903_004
8829_004 1128_003 1426_003 1789_003
1745-003 2217_003 2781-003 3451-003
3463_003 4386_003 5479_003 6761-003
5173-003 6545_003 8163_003 1005-002
687middot_003 8I9Z_003 1083_002 1333_002
8566-003 1083_002 149_002 1659-002
1025_002 1295_002 1613_002 1983-002
1359-002 1717_002 lU7-002 2 626-002
0600 6182-004 toZ2-003 2233-003 4247-003 8258-003 1225-002 122-002 2016-002 2409-002 3188-002 0620 0640
8434-004 1159-003
1328-003 1733-003
2779-003 3454-003
51 92-003 63U-003
9998-003 1202-002
1478-002 1769-002
1953-002 2333-002
2middot42middot002 J 1I94002
2897-002 3451-002
830-002 4558-002
0660 0680
1599-003 2211-003
2274-003 2middot998-003
4297-003 5356-003
7662-003 9277-003
1436-002 1709-002
2103-002 2485-002
2765-002 3258-002
3425-002 4026-002
4080-002 4789-002
5380-002 305-002
0700 304-003 3964-003 6691-003 1123-002 2026-002 2924-002 31117-002 4705-002 5588-002 1340-002 0720 0740 0760 0780
4205-003 5759middot003 7832-003 1057_002
5250-003 6951003 9183_003 t209_002
8381003 1052-002 1323_002 1665_002
1359-002 1646-002 1997-002 2425-002
2396_002 2829-002 3337_002 3936_002
3427-002 4005-002 4671_002 5439_002
4452_011 2 51 74_002 5996_002 6934_002
5472-002 6331-002 7315-002 8420-002
6486-002 7494-002 8626_002 9898_002
8 497-002 188-002 1 123- 00110 283-001
0800 143-002 1584-002 2096-002 2947-002 4642-002 6328-002 8004-002 9671-002 1133-001 1462-001 0820 0840 0860 0880
1813-002 2459-002 3199-002 4125-002
2063-002 2671-002 3434-002 4383-002
2U5-0OZ 3306-002 4136-002 5157-002
3585-002 4361-002 5304-002 6443-002
5477-002 6 463-00ii 7629-002 9005-002
7358-002 8553-002 9941-002 1middot155-001
9228-002 10063-001 1224-001 1409-001
1109-001 1270-001 1453-001 1661-001
1294-001 1 475-001 1680-001 1 911-001
1661-001 1883-001 2middotUI-001 2 4011-001
0900 I271-002 5554_002 6404-002 7816-002 1063-001 1343-001 1121_001 189-001 2172-001 2118-001 0920 0940 0960 0980
6677-002 8390-002 1046-001 1294_001
6988_002 8729middot002 1083_001 10334_001
7917-002 9742-002 1193-001 1453_001
9462-002 1143-001 1376-001 1652-001
1254-001 1478-001 1741-001 2047-001
1560-001 1812-001 2103-001 2440_001
186middot-001 21 4-001 2464-001 2831-001
216middot001 2474-001 2823-001 3220-001
2468-001 2802-001 3180-001 3607-001
3065-001 3 453-001 887-001 4374-001
1000 19-001 1632-001 1761-001 1976-001 2403-001 228-001 3251-001 2671-001 4089-001 4 919-001 1050 1100
2579-001 4028-001
2631-001 4089-001
2786-001 4273-001
3044-001 4578-001
3557-001 5186-001
4067-001 5790-001
4575-001 6392-011
5080-001 6990-001
5583-001 7585-001
579-001 8 166-001
1150 10200
6081-001 8907-001
6153-001 8990-001
6367-001 9U-001
6724-001 9650-001
7435-001 1047middot000
8142-001 1129middot000
8845-001 1210middot000
9545-001 10 291000
1024middot000 1312middot000
1162middot000 1 532000
1300 1768middot000 1779000 1811middot000 1865000 1971middot000 2077middot000 213000 2288middot000 2393middot000 2601000 1400 1500
3220+000 5468+000
3234middot000 5485000
3274middot000 5534+000
3341000 5616+000
3475+000 5779000
3608+000 5942000
3741+000 610middot000
3813+000 6265middot000
4005middot000 6 426000
4266middot000 47000
Page 127
TAeL[ 14 (CONTtNU[OI
p ITORRI
00100 o0150 00200 00250 00300 00350 00400 004S0 00500 00550 ~
110
0300 2082-004 3100-004 4096-004 5069-004 6015-004 6933-004 182Z-004 11681-004 9510-004 1031-003 0320 3913-004 5819_004 1682-004 9499-004 1126-003 1298-003 1463_003 1624-003 1718-003 1921-003 0340 6858_004 1019_003 1344_003 1661_003 1969_003 2261_003 2556 003 183S-003 3104_003 363-003 0360 1133-003 1682_003 2218_003 21~9-003 3245_003 3136_003 4211_003 4669_003 5112_003 5538-003 0380 1181_003 2643_003 3483_003 4299_003 5093_003 5861_003 6605_003 1324_003 A017_003 e 68S_001
0400 2684-003 3980-003 5243-003 6471-003 1662-003 8811-003 9935_003 1101-002 1206-002 )306-002 0420 3900-003 S180-003 761Z-003 9392-003 1112-002 1279-002 144Z-002 598-1)02 1150-00Z ]895-002 0440 5490-003 8135-003 1071-002 1321-002 1564-002 1199-002 2021-002 2247-002 260-002 2 666-002 0460 1518-003 10114-002 1466-002 1808-002 2140-002 2462-001 27H-002 3015-002 3367-002 648-002 0480 1005-002 1489-002 1959-0OZ 2416-002 2859-002 3289-001 3706-002 4109-002 4499-002 4875-002
0500 1315-002 1948_002 2562-00Z 3160-002 3739-002 4302-002 4141_002 50314-002 5885-002 6378-002 0520 1690-002 2501-002 3289_002 4056-002 4800-002 5522-002 6222_002 tIe99-002 7555-002 8189-002 0540 2134_002 3158_002 4153_00 2 51Z0-002 6059_002 6970_002 185middot_002 8710-002 9538_002 1 034-001 0560 2656-002 3928_002 5165_002 6367-002 1535-002 8668-002 9767_002 1083-001 1186-001 lch-OOI 0580 3261-002 4821_002 6338-002 1812-002 9245_002 1063-001 11 98_001 1329-001 1456_001 1 519-001
0600 3958-002 5847_002 7685-002 9471-002 1121-001 1289-001 1 53-001 1611-001 1765-001 )914-001 0620 4152-002 7016-002 9217-002 1136-001 1344-001 1546-001 1142-001 1931-001 2117-001 ZZ96-001 0640 5653-002 8middot331-002 1095-001 1349-001 1595-001 1835-001 2068-001 2294-001 2513-001 2 726-001 0660 66o6-002 98Z1-002 1289-001 1587-001 1871-001 2159-001 2433-001 2~99001 2 957-001 3 208-001 0680 7803-002 1148-001 1505-001 1853-001 2191-001 2~20-001 2114(-001 3150-001 3451-001 3144-001
0700 9073-002 1332_001 1146-001 21 48-001 2539-001 2920-001 3290-001 3649 001 3998-001 4337-001 0720 1049-001 1537_001 2011-001 2473-001 2923-001 3360-001 3785_001 41 99-001 4600-001 990-001 074 0 1206_001 1762_001 2304-001 2831-001 3344_001 3843_001 4328_001 4800-001 5259-001 5 705-001 0760 1380-001 2011-001 2625_001 3223-001 3805-001 4371-001 492Z-001 5451-001 5979-001 6 86-001 0780 1573-001 2284_001 2977_001 3651-001 4307_001 4946_001 51368_001 61 73 001 6762-001 7335-001
0800 1787-001 2585-001 3362-001 4111-001 4855-001 5572-001 6270-001 tI 950-00l 7612-001 8 255-001 0820 2024-001 2914-001 3782-001 46Z6-001 5449-001 6250-001 7030-001 7190-001 8530-001 9Z50-00l 0840 2286-001 3276-001 4240-001 51 78-0111 6093-001 6 984-001 7852-001 86911-001 9521-001 1032-000 0860 2577-001 ]612-001 4139-001 5178-001 6790-001 7717-001 8739-00 9~16-001 1059-000 1middot148-000 0880 2900-001 4107-001 528Z-001 64C8-001 7545-001 8633-001 9694-001 1073-000 1114-000 1 272000
0900 3258-001 4583-001 5874-001 71 33-001 8360-001 9556 001 1012000 186000 12970000 1405000 0920 3656-001 5105_001 651 9-001 1896-001 9240-001 1055000 118l000 1307middot000 1 4290000 1 547000 0940 4097-001 5619_001 7220-001 8123_001 1019000 116200(1 130Z000 14311000 1570000 1100000 0960 4588 001 308_001 7984_001 9619-001 11210000 1217000 1429000 1571000 1122000 ]863000 0980 5133-001 6998_001 881 6-001 10590000 1232000 14010000 11566000 727middot000 1884-000 2 037000
1000 5739-001 7155-001 9721-001 1164000 1351000 1534000 1112000 1887middot000 2051middot000 2 223000 1050 1566-001 9990-001 1235middot000 1466middot000 1692000 1912000 2121000 2middot33middot000 2543middot000 2143000 1100 9935-001 1281000 1561+000 1835middot000 2103000 2365-000 2620000 2810middot000 3115000 3354-000 1150 1299-000 1635middot000 19640000 228Smiddot000 2599middot000 2906middot000 3206000 3500middot000 3787middot000 4 068000 1200 1690middot000 2079000 Z460middot000 2832000 3196000 3552middot000 3900000 4242-000 4576middot000 4 902000
1300 2801 000 331 4000 3810middot800 4295000 47nmiddot00O 5237middot000 5o93middot000 6140000 6578middot000 1008000 1400 4526middot000 5165000 5791000 6404-000 7006-000 7596middot000 8175000 8743middot000 9300000 9846000 1500 7064middot000 7848middot000 8618-000 9373middot000 1011middot001 1084001 11560001 1226middot001 1295middot001 1middot36Zmiddot001
Page 128
TABLE 14 ICONTINUED
P ITORR
00600 00640 00650 00700 00750 00800 00900 01000 01100 01200 ~ 00
0300 1107middot003 10166003 1181middot003 1251003 1318middot00l 1382-003 1tSOOmiddotOOl 606middot00l 1700middot003 1 183-003 0320 2069003 211900l 2206003 2337middot003 2 46200l 2582_00l 2804_003 3003003 3182003 33l9003 0340 3611003 3803_00l 3850003 4079003 4298_003 4507003 4896_003 5241-003 556100l 1841-00l 0360 5948 003 6264003 6341003 6718003 7080_003 7425_003 8069003 8652003 917600 3 9 644003 0380 93~8_003 9824_003 9946_00 3 1054002 1111-002 1165_002 1267002 1359-002 1442_002 i 517-002
0400 1403-002 10418-002 1496-00Z 1586002 1 1171-002 1153-002 1907002 2047002 2 174-00Z 2 288-002 0420 2036-002 215middot002 2171-002 2301-002 2426middot002 2546-002 2770middot002 l975-002 3161-002 329-002 0440 2864-002 301 7002 3054-002 323a-002 3414-002 3583002 3901-002 41 9Z-002 457middot002 bullbull696-002 0460 3920-002 4130middot002 4181-002 4433-002 4675-002 4908-002 5346-002 5747-002 6114middot00Z amp447-002 0middot480 52~8-002 5520-002 5589-002 5926-002 6251-002 6564-002 71 52-002 769]-002 8189-00c 8 640-002
0500 6854middot002 7223middot002 731 4-002 7757-002 8183-002 8594-002 9369_002 OOA-OOI 1074-001 1 134-001 0520 8802002 9277002 9393-002 9964-002 1051-001 1104_001 1205-001 1297-001 1382-001 1460-001 0540 10 112middot001 J 172-001 1186-001 1259-001 1328-001 1396-001 1523middot001 ~640-001 1749001 1848- 001 0560 13113-001 458_001 1bullbull76001 1566-001 1654_001 1738_001 1891_001 044001 2180-001 2306-001 0580 1697-001 J 790-001 1812-001 1923-001 2031-001 2134-001 2331-0b1 2513-001 2682-001 2837-001
0600 20-8-001 21 70-001 2198-001 2333-001 2464-001 2590-001 2829_001 3052-001 3258-001 ]449-001 0620 2469-001 2604-001 2637-001 2799-001 2 956-001 3108-001 3397_001 3666-001 3915-001 4147-001 0640 29~2-00l 3092-001 3132-001 3325-001 3512-001 3693-001 4038-001 4359-001 4658-001 4 935-001 0660 3451-001 640-001 3686-001 3914-001 4135-001 4349-001 4756-001 5137-001 5491-001 5821-001 0680 4028-001 4249-001 4303-001 4570-001 4829-001 5079-001 51556-001 600]-001 6419-001 6 807-001
0700 4666-001 4923-001 bullbull 986-001 5295-001 5596-001 5887-001 6442-001 6962-001 7448-001 901-001 0720 5369-001 5664_001 5737-001 6094-001 6440-001 6776-001 741 1001 8018-001 8581-001 9 106-001 0740 6139_001 6476_001 6560-001 6968-001 7365-001 7750_001 8485_001 ~175-001 9822-001 1043 bull000 0760 6979_001 7363_001 7457_001 7922-001 8374_001 8812_001 9650_001 1044000 1118000 101870000 0780 7892-001 8326_001 8433_001 8959-001 9471_001 9967_001 10920000 101 810000 12650000 13440000
0800 88A2-001 9310-001 9491-001 10080000 10660000 11220000 12290 000 13300000 14250000 15140 000 0820 9951-001 10500000 10630000 11 300000 1194000 12570000 13770000 14900000 15970000 1697middot000 0840 10 11 00000 1171 0000 1186middot000 12600000 13320000 14020000 15360000 16630000 17820000 18950000 0860 1234middot000 13020000 13190000 1401middot000 14810000 15580000 17080000 1middota49deg000 19820000 2100000 0880 1030000 14420000 1461 0000 1551 0000 16400000 17260000 1891+000 2040000 21950000 23340000
0900 11510 0000 5930000 16130000 17130000 18100000 19050000 20870 000 2600000 24230000 25770000 0920 16630000 J753middot000 17760 000 1885middot000 1 9920000 20960000 22970000 24810000 26660000 28360000 0940 18260000 19250000 19490000 20690000 21870000 23010000 25200000 272~0000 29250000 31120000 0960 2001+000 21080000 21350000 22660000 23940000 25180000 2 bull 580000 29850000 32010000 3~OoOOO 0980 21870000 2304 0000 2333 0000 24750000 2614 0000 27490000 30U000 32A o OOO 3~9000 31170000
1000 2385000 2512+000 25430000 2698000 2848 0000 2990000 3279000 548000 38040000 40470000 1050 29390000 3093000 31310000 33180000 35010000 36790000 40230000 43510000 46630000 4 9590000 1100 31)87000 3771 0000 38160000 40390000 42510000 4471 0000 488~0000 52750000 I6500000 60070000 1150 43430000 45590000 4612000 4850000 51330000 53840000 5871 0000 336deg000 6780 0000 72040000 1200 5222000 54140000 55360000 58~2deg000 61420000 6436middot000 1005000 75490000 80690000 85660000
1300 74t90000 77600000 7842+000 8246000 86420000 90310000 97840000 10l1deg001 11200001 11860001 1~00 10380001 10800001 10910001 11 420001 11930001 12430001 13390001 14320001 15210001 16070001 1500 14~90001 1481001 1494001 1580001 16210001 16830001 1804 0001 9200001 2031+001 21390001
Page 129
tOO+8pound tOO+6ZtE tOO+Z61t 1000StOpound lOO+SSSZ lOO+tOZ toO+6ZS2 100middott2 100middotZEZ lUOZYZZ 005 I 10000pound9i tOO+6poundSZ tOOmiddotti tOOpoundIpoundZ 100SLlZ tOOotSOZ toO9t6 1 100middotS1 1009 ( 1006891 00 1 100096 1OO+6St 1000Jnt toOSZ I 1000tZ91 tOOSZSol 1000Z1 10069pound1 100Upound lOOoOSZt OOtI
1000Z 100pound1 100Wtpound1 1000poundSZt 1001111 100Ottl 100poundpound01 000Z6deg6 000pound66 000006 OOZI 100pound611 100SSt1 1006011 toOSSOt 000+poundZ66 000pound6 OOOSOS OOOoIlStS 000Z66 0000SU9 OStl OOOopoundHO 0006096 000+0Z6 000096S 0000S2S OOOotos 00099Z 000+S69 000699 000+9pound9 OOtt 000 at 000Z06deg OOOoWoy OOOmiddotziZ 000middotOU9 00009 000000 00019S OOOSOSS OUOot1ZS OSOt 00064]deg 000019 000_01l14 000+6611S 000+pound9SS 000-6ZS 00006S 000+00 00006 OOOoLZ OOOt
000-pound09 OOOOLliS 00099 00060 S OOOoOts OOOolllS 00006 000091pound OOOmiddotUt 000SZ6pound 01160 OOO-LOSS 000-19poundS OOoyt 000-L6 000-04 0001 h OOO-Stt 000-poundS6pound 000-19E ouO-S6Spound 0960 OOomiddotttoS OOOmiddotZSs OOOoLt OOOozt 0000Z9Z OOOoZO 0006Spound 000119pound OOOmiddotSs~ 000s8Zpound 0iJ060 00095 0000poundpound 00009I1Z OOO-lOl OOOIILIipound 000 0999degpound OOO+npound 00006Zpound OOO+hl Ii 000-966Z 0260 000_ tt1 0000 ltO OOO_ZSIIpound OOO-slLpound OOO-Uipound ooooapoundpound 000_1101pound 000-1I116Z 000-6SSZ OOO-zeZ 0060
OOO-poundOipound 000-19pound OOO-poundOSpound 000-5poundpound 000-6Llpound 000-600pound OOOopoundlSZ OOOoOZ 00006SS2 OOOoSZ 09S0 OOO-Zpoundpound OOOoOSZpound OOOoO~Ipound OOOopoundZOpound 000-9SZ OOO-ZtLZ OOOLpoundSZ OOO-OZ 00009poundpoundZ OOOSZZZ 09S0 000_U6Z 000middot1I06Z OOOotZioZ OOO-oUZ OOOmiddotOLSZ OOO-SpoundZ 00006lZZ 000-Z61Z OOOOOPZ OOO+OOOZ oeo 000_S9Z 000middott6SZ 0009tSZ 000061Z OOOhzZ OOO-UtZ 00006pound0Z 000-Z96t OOOOSS[ OOOotOL1 OZSO OOOopoundpoundZ 00001l6ZZ OOOopoundZZ OUOolstz OOOoZOZ 0000Spound61 OOOUSl 00006L1 000+9L9 000L6t OOSO
000-S90Z OOOoLZOZ OOOoELfIt 000degto6t 000-80St OOOmiddotLtL 0000019t 000-lSS OOOdegLa ( OOOmiddotst1 OSLO OOOottSt OOO-OSLl 0000poundL1 OOOmiddotZLIj 000Z6St 0000pound14]1 OOOmiddotlZl 000S9pound1 OOO-ZIpound OOOzszt 09L0 OOO-SLS1 OOO-poundSSl OOO-SHiL 000-pound91 000middot6pound 1 00009Zpound1 000-9Z1 00010Z1 OOO+ZSI 000-6601 hLO OOO-Lpound OOO-Lpoundl OOO+SIpound1 OOO-ZLZl OOOmiddotIZt 0009St1 000-9801 OOOmiddotLOl OOOSOO 100-90S6 OUO 0009Llt 00000911 OOOoSpound1 1 0000S601 000601 00000001 100-116 tOO-LLO6 100-18 100-poundZpoundS OOLO
000_00 100-SI66 tOO-middotlLo 100-16 100-LOO6 100-pound6SS 100-60S 100-0111L lOO-ZOSL tOO-SlItL OS90 tOO-EOS 100-Z11I tOO_lSZ 100-S00S 100-tL9L tOO-LZpoundL 100-S009 100-6999 100-60 100-9Z19 0990 100_11pound1 100-pound0 100_e69 100-ESL9 100-1lL9 100-619 lOO-9SS 100-L9S 100-6Z tOO_Z61S 09 0 too-Spound~S 100-16SS tOO-S6Le l OO-lIjS 100-0ZS t OO-S~il1degS 100-Z06 100-LtLdeg tOO-LSS 100-01pound OZ9deg0 tOO-poundS9 tOO-SSllo 100-middotSL 100-9 100-8S 100-tOpound tOO-690 100-t6pound 100-9f1L( 100-S~9pound 0090
100-1L6pound tOO-5S6t 100-06pound 100-poundlSpound 100-iL9pound tOO-LlSpound 100-0tOpound 100-IpoundZmiddotpound tOO-ztt ~ 100-OiltgtZ Oaso 100-681pound 100-Z91degpound 100-9t li toO-LOpound lOO-ZL6Z 100-9SSZ tOO-aOLoZ 100-t29Z tOO-zSZ 100-1oZ 0950 100-ZSi 100-ZSZ too-Los 100-tOZ tOO-tLtOZ 100-lI1ZZ 100-991degZ 100-8602 tOO-poundZOZ tOO-O~middott OirSO 100-L96deg 1 100-U61 tOO-LS6 1 too-~Z~o 1 100-Z9S1 tOO-6Lol lOO-90tt 100-S91 100-S6So 100-1(S1 OZSO [OO-OSl 100-E1Sol 100-iOi L [OO-n t 100-8pounddeg1 100-88poundt tOO-Zzpoundt toO-Z8Zmiddot1 100-UZt tOO-Silll OOSO
100-tEtdegl tOO-6pound1 t 100-11pound 1ot tOo-Oinot 100-0601 100-ESO1 tOO-SOool ZOO-tSL6 ZOO-6U6 ZOO-OiO6 OQOZOO-60ti 200-IIpoundoS ZOO-ZapoundoS ZOO-eeZs ZOo-zsOs ZOO-SZSL ZOO-SLL ZOO-09ZL ZOO-610 ZOO-S9 090 ZOO-poundS6degmiddot ZOO-ZOmiddot9 ZOO-iltOq ZOO-SS6S ZOO-OSSS ZOO-gOs ZOO-6lS lOO-eLlS 200-90tS ZOO-poundt6deg 00 ZOO-Imiddotmiddot ZOO-tOZ ZOO-Opounde ilOO-OZ ZOO-OZ1 ZOO-poundOO ZOO-LpoundSpound ZOO-Ettt lOO-SI9 ZOO-Owpound OZO ZOO-96LZ ZOO-SZ ZOO-OLez ZOO-098degZ ZOO-UsoZ ZOO-LHZ ZOO-Sl9Z ZOO-65SZ ZOO-OSoZ ZOO-Otltz 00deg0
ZOO-US1 ZOO-SSol ZOO-LiIl ZOO-USl ZOO-osst ZOO-SOSI ZOO-9poundL t ~00-tf9I ZOO_Z901 ZOO-poundilS1 OaEO ZOO-ltl ZOO-6S11 ZOO-LL I L ZOO-OSIl ZOO-L9tt ZOO-1lmiddot 1 zOO-OOldegl ZOO-(LO1 ZOO-ZtOO ZOO-90001 09pound0 EOO-pound69 EOO-6I1S9 poundOO-OZOL pound00-90L pound00-1I00
0 L EOO-US9 pound00-09 poundOO-n EOO-I0t pound00-110 0pounddeg0
pound00-poundpound1 pound00-6SSpound EOO-~~r (00-066pound EOO-ZL6t pound00-06pound EOO-leLpound poundOO-L69E pound00-96S( poundOO-Upound OlpoundoO pound00-16 pound00-9102 poundOO-ZLO~ EOO-[OZ poundOO-Z01Z tOO-ZLOZ EOO-110Z pound00-6961 pound00-Lt6deg1 pound00-S58I OOEO
000pound0 OSLZO OOSZO IISZZoU OOOzmiddotO OOelO 00910 OOSlO 0010 00pound10 ~
U1~Ol1 cI
(QiON1INO) t i1BYI
TABLE 15
THE HE3 CONCENTRATION TN THE VAPOR ABOVE HE3 - HE4 SOLUTIONS
XV
00001 0On02 00005 00010 00020 00030 0004 0 0005 0 00060 00080
C1()
0300 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0320 0340
09999 09998
10000 09999
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000 10000
10000ioooo
10000 10000
0360 09995 09997 09999 09999 10000 10000 10000 10000 10000 10000 0380 099 87 0 9993 09997 1)9999 09999 10000 10000 100 00 10000 10000
0400 09970 09985 09994 09997 09998 09999 09999 09999 09999 10000 0420 0440
0middot993g 098 79
09969 09lt139
09998 099 76
09994 u9988
0middot9997 0middot9994
09998 09996
09998 09997
09999 0999 7
09999 0 9998
09999 09998
0460 09711 09881 09955 09977 09989 09992 09994 09995 0 9996 09997 0middot480 0 96 20 0 9A O 09921 0 9960 0 9980 09987 0 999 0 0 9992 09993 0 9995
0500 09377 09678 098l-1i1 09934 09967 09978 09983 09986 09989 09991 0520 0540
09032 08570
09491 09230
09790 09677
098q4 09835
09946 09917
09964 09944
09973 0995
09978 09966
09982 09972
09986 09979
0560 07988 0 8881 0 9 520 09753 09875 09916 0 9936 09949 0995 7 09968 05ac 07300 08439 09310 09642 09817 09877 099 07 0992_ 09937 09953
0600 06538 07906 09041 09496 09740 09825 09868 09A93 09911 09932 0620 )0640 0middot160 0middot680
0middot5744 04961 0middot4225 03561
0729 06631 05940 05251
08708 0 8310 0 7851 07342
u9308 0 9075 08795 08 465
0middot9641 0 9 514 0middot9357 0 9 167
09757 09(69 09560 09427
0981 0 9 149 0966(1 09563
09amp52 09798 09730 09646
09876 0 98 30 0 9773 0 9702
09906 0 987 1 09828 09714
0700 02981 04593 06796 118090 08942 09267 094 3 0 9544 0961 6 09708 0720 0740
02486 02071
03982 03431
06230 05661
07675 07227
08681 08386
09078 08860
09290 091111
0 9423 0928 0
09513 09391
09628 09534
0760 01727 02944 051(4 067lt5 08060 08614 089 21 09115 09250 09424 0780 01443 02522 04572 06272 07705 08340 086911l 08928 n9088 09297
oeoo 01210 02159 04075 05787 07327 08040 08451 0 871e 0middot8906 09153 0820 0840 0860
0101 9 00863 00 734
01850 01588 01367
036 18 03205 028 34
05311 1)4851 04414
06933 06528 06120
07718 0737 07024
08181 0 7892 07585
0S4iT 08236 07966
08704 08482 0 8243
0899 1 08812 08616
0880 00627 0118 0 0Z506 04005 057 14 06662 07264 0768 1 07986 08404
0900 00539 0loe3 02216 03626 05317 06295 116934 073113 0 77 16 08177 0920 0 940
00466 0040 4
00890 00777
01 962 01 7 39
03278 029 61
0middot4932 0middot4564
05930 05570
06597 06259
0 7 075 0676 1
0 7434 07143
07937 0768 6
0 960 0980
00353 00309
0068 1 00600
01545 01375
02675 0241fgt
04 216 03888
05218 04878
()592~ 05590
06444 06127
0 6846 06546
07425 07157
1000 00272 005311 01227 021 A5 03582 04553 05266 05813 06245 06884 1050 1100 1150
0020~ 00154 00119
00396 00303 00236
009 34 00723 00570
)1708 I1348 VI077
0291 4 02373 01943
0J811 03179 02653
0450~ 038 2Q
03247
05057 04365 03751
05501 0 48 13 041A4
06196 05523 04889
1200 00095 001 88 00456 00811 01601 02222 02156 032l0 03627 04308
1300 00063 00124 003 05 00592 01117 01586 020011 02386 002730 03332 1400 0middot0044 00087 00215 00421 00808 01164 01 493 01198 0 02081 02591 1middot500 0middot0032 001164 001lt9 00312 0-0606 000881 01140 0138 15 0161 6 02042
Page 131
TABLE 15 (CONTINUED)
XV
~ 001()0 00150 00200 00250 00300 00350 00400 00450 00500 00550
(I()
0300 10000 10000 10000 looon 10000 10000 1000n 1000n ]0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0360 10000 10000 10000 10000 10000 10000 10000 10UOO 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 100UO 10000 10000
0400 10000 10000 10000 10000 100000 10000 10000 10000 0000 10000 0middot420 0440
0middot9999 0middot9991i
10000 09999
10000 09999
10000 119999
10000 10000
10000 10000
10000 10000
10000 10000
]0000 10000
10000 10000
0460 09998 0999A 09999 09999 0middot9999 09999 09999 09999 09999 09999 04 0 09996 09997 09998 1)9998 0middot9998 09999 0 9999 09999 0 9999 09999
0500 09993 09995 09996 09997 09997 09998 0999A 09999 09998 09998 0520 0540 0560 0580
09981i 09983 09974 09962
09992 09988 09982 09974
09994 09991 09986 09980
09995 09993 09989 09984
09996 09994 09991 09986
09996 09995 09992 09988
09997 0999i 09993 09989
09997 09996 0999] 09990
09997 0999t) 09994 09991
09998 09996 09994 09992
0600 09945 09963 09972 09977 09980 09983 099811) 09986 0 9987 09988 0620 0640 060 06f1O
09924 0middot9896 0middot9861 0middot9817
0994 09929 099015 0987c
09961 0 9946 09928 09905
09968 09956 09941 09923
0middot9973 0 9963 0middot9950 0middot9934
09976 09968 09957 09943
09979 0 9971 09961 09949
09981 09Jfh 09965 09954
0middot9912 0 9976 09968 09958
09984 09978 09971 09961
0700 09763 09839 09877 09900 09915 09926 09934 0994 1 09946 09950 0720 0740 070 0780
09699 09622 09531 09427
09794 09741 09679 09606
09843 09802 09754 09698
09872 119839 09800 09754
09892 09864 09830 09791
09906 09881 09852 09819
0991 09895 09869 09839
09924 09905 0 9882 09855
09931 0991 3 09892 09868
09936 09920 09901 09878
081)0 09308 0 9522 09633 09701 09746 09779 09804 09823 09839 09852 08~0 09173 09427 09559 09640 09695 09734 09764 09787 09806 09821 0840 0middot9023 09319 09475 09571 0 9636 09683 0 9719 0976 09769 O97S7 0860 08f1O
08857 08676
0 9200 09068
09381 09277
09494 09408
0 9570 0middot9496
09625 09561
0 9667 09610
0 9700 0961t9
09726 0 9679
09748 09704
0900 0920 0940
08lt81 08273 08053
08924 0876R 08600
09163 090)8 08903
09312 09208 09095
09415 0 9325 09227
09489 09411 09325
0954 0947 09399
09590 09521094amp
09626 09568 09501t
09656 09602 095lt3
0960 09AO
07822 07582
0842t 08234
08758 08603
08973 08842
09122 09008
09231 09130
09315 09224
09J81 0 9299
094)5 09359
09479 09409
1000 07335 08037 081t40 08702 0R886 09022 09127 09210 09278 09334 1050 1middot100 1middot150
06699 06059 Q5438
07513 06960 06398
07998 0751 9 0701 7
08321 07899 01449
0middot8550 0middot8175 0middot7768
08722 08384 08013
0885 08548 08207
0896) 08680 08365
0 9050 0middot8788 0middot8496
09U3 08879 08605
1200 04855 05845 06508 06983 0middot7341 07619 0784) 08025 08178 08307
1300 03840 0481Fl 05522 06052 06466 06798 07070 07298 07491 07656 1400 1500
0)038 02425
03944 0323
04636 03884
05192 04416
05623 04859
05987 05234
06292 0555
06552 05835
06776 06080
06971 06295
Page 132
TABLE 15 (CONTI NUEO)
XV
00600 00~41) 00650 00700 00750 00800 00900 01000 011 00 01200~ 00
0300 10000 10000 10000 10000 10000 10000 10000 1000 0000 10000 0320 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 0340 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000 03~0 10000 10000 10000 10000 10000 10000 10000 10g00 10000 10000 0380 10000 10000 10000 10000 10000 10000 10000 10000 10000 10000
0420 10 0000 1000t) 10000 10000 100000 10000 10000 10000 1middot0000 10000 0420 1middot0000 10000 10000 10000 10000 10000 10000 10000 0000 10000 0440 1middot0000 10000 10000 10000 1middot0000 10000 10000 10lOO middot0000 10000 04~0 0middot9999 10000 10000 10000 10000 10000 10000 10UOO 1middot0000 10000 0480 0middot9999 09999 09999 09999 0 9999 09999 09999 09999 0 9999 09999
0500 09999 09999 09999 09999 09999 09999 09999 09999 09999 09999 0520 09998 09998 09998 U9998 09998 09998 O999~ 09998 09998 09999 0540 09996 09997 09997 09997 09997 09997 09997 09998 09998 09998 0560 09995 0999~ 09995 09995 09996 09996 09996 09991 099970999 0580 09992 09993 09993 09993 09994 09994 09994 09995 09995 09995
0600 09989 09990 09990 09990 09991 09991 09992 09992 0middot9993 09993 0620 0middot9985 09986 09986 09987 09987 09988 09989 09990 09990 09991 0middot640 09979 0 9981 0middot9981 09982 0middot9983 09984 09985 0998~ 0 9987 09988 0middot660 09973 09974 09974 09976 09971 09978 09980 09981 0middot9983 09984 0middot680 09964 09966 09966 09968 0middot9970 09971 09914 09976 0middot9977 09979
0700 09954 09956 09957 09959 09961 09963 09966 09969 09971 09972 0720 09941 09944 09945 09948 0middotQ951 09953 09951 09960 09963 09965 0740 09926 09930 09930 09935 09938 09941 09946 09950 09954 09956 0760 09908 09913 09914 09919 09923 09927 099]3 0 9939 0993 09946 0780 09887 09893 09894 09900 09906 09911 09918 0 9925 09930 0993
0800 09862 09870 09871 09879 09886 09891 09901 09909 0991 5 09920 0820 09834 0984] 09845 09854 0middot9862 09869 09881 09890 0middot9898 09904 0840 09802 09813 0 98 15 9826 0middot9836 09844 09858 09870 09879 09886 0860 0middot9766 09779 09781 09795 0middot9806 09816 0 9833 09A 0middot98S7 09866 0880 0middot9726 09740 09744 09759 0middot9773 09784 098 04 094120 0middot9833 09843
0900 09681 09698 09702 09720 0973 09749 09772 09790 09805 09818 0920 09631 09650 09655 09676 09694 09710 09737 09758 0middot9775 09790 0940 09576 09s99 0960 09628 09649 09667 09698 09722 09742 09759 0960 09516 09542 09548 09575 09599 09620 0965S 09083 09706 09725 09~0 09451 09481 09487 09518 09545 09569 09609 0 964 1 09667 09689
1000 09381 09414 09422 09457 09487 09514 09558 09594 0middot962 09649 1middot050 0middot9184 09227 09237 09282 0middot9322 09357 09416 0940 0middot9503 09536 1middot100 0middot8956 09010 0middot9022 09080 0 9 130 09175 09250 0931+ 0 9362 0middot9404 1middot10 08699 08765 08780 08851 089 13 08968 09061 091 3 0middot9200 09253 1middot200 0841 8 08496 0851 4 08598 0middot8672 08738 08850 08942 0 9011 09083
1300 07800 07901 07925 08036 08135 08224 08375 0 850 1 08607 08697 1410 07143 07266 07295 074)0 Q7551 07661 07851 080 10 0middot8144 08261 1500 06481 06626 06659 06813 06953 07081 07304 07492 07655 07795
Page 133
68880 Tl880 lZL8deg0 1980 S880 19pound80 l1ZS0 alSO L20S0 S16L0 OUS1 OpoundUO OL060 deg006middot0 L1680 9188deg0 8lL80 66S8n 8aSS0 OsSO 19pound8deg0 00[ 6pound6deg0 50pound60 SZ60 pound616deg0 81160 060 556S00 Z0680 a88deg0 LUoo OOE
Spound560 60amp60 H60 ~E6deg0 08pound60 6Zpound60 LIi~60 6ZZ60 L816deg0 6pound160 OUZl 02960 L6560 69i60 iE56deg0 66deg0 pound560 Zh6deg0 ZLpound6deg0 8poundE60 86260 05tot 696deg0 9L960 CQ60 _296deg0 _656deg0 pound956deg0 poundZ56deg0 6660 ZL6deg0 060 OUt 0
85L60 5L600 8L60 80L6middot0 8960 6596deg0 82960 6deg96middot0 88560 956middot0 OOt 1860 OS60 l6L60 LLL6middot0 65L60 HoL60 8U60 OL6middot0 8896middot0 OL960 000
pound96middot0 Sa86middot0 1860 Z086middot0 98L6middot0 69L6deg0 6tL6deg0 LpoundL6deg0 tU6middot0 LOL60 086middot0 Z586middot0 86 0 -pound1260 2860 Ot96middot0 96L6middot0 8LL6middot0 89L60 9SL60 ZL6deg0 0160 69860 Z9860 551160 860 poundpound86
00 12960 S0960 96L6deg0 98L60 ELL60 060
S8860 6L8600 ZL860 9860 5860 pound860 OE860 22860 pound1860 Z0860 OZ60 66860 6860 68860 Z8860 poundL8b0 986middot0 Z586middot0 5860 8pound86deg0 6286middot0 006middot0
2166middot0 80660 E066middot0 L696middot0 0686deg0 Z886deg0 poundLe6deg0 L986deg0 09860 2586 0 0 088middotU Z66deg0 12660 LU6deg0 Z166middot0 506600 6686deg0 16860 98S60 0896deg0 L86deg0 098deg0 5pound66deg0 Zpound6600 6266deg0 266deg0 61660 166deg0 L066deg0 pound0660 ij6860 pound6860 0 08deg0 bullbull66deg0 2660 6pound66deg0 11pound660 2pound6b0 Ll660 22660 81660 t660 01660 0~90
pound5660 15660 6660 66middot0 pound66middot0 6pound660 pound66deg0 2pound66deg0 ~2660 5266middot0 0080
09660 6i660 L5660 i566deg0 25660 6660 9660 pound660 166deg0 9pound660 OtiLO L9660 99660 59660 pound9660 19660 8566deg0 55660 415660 (566middot0 6660 OJILO poundL660 2L660 0 U660 ~L660 89660 99660 9660 29660 (966deg0 65660 OtLO 9L660 L~66O LL66deg0 L660 L660 EL660 U66n OL660 89660 L9660 OZLO 2866deg0 2866
0 0 18660 0866deg0 6L66deg0 8L660 U66deg0 9~660 itL66 deg 0 U660 oOLO
98660 96660 5866deg0 l966deg 0 866deg0 pound866 00 2866 00 1866deg0 1866deg0 0866 00 0~900
6966 00 6t1660 0 9866deg0 ~86600 L866deg0 LS660 98660 911660 58660 866deg0 Oli9middot0 16660 166600 166bull0 16660 06660 066600 68660 68660 6S660 98660 090 pound6660 pound6660 pound6660 pound666middot0 pound6660 pound6660 26660 Z6660 C666middot0 1666middot0 Ol9deg0 56660 5666deg 0 -6660 6660 5666middot0 56660 666degn 416660 6660 6660 OU9deg0
96660 96660 96660 11666middot0 111666deg0 96660 9666deg0 9666deg0 9666deg0 S666middot0 O~lO L666deg0 L6660 L 6deg0 L666deg0 ~666middot0 L6660 L6660 L6660 L666middot0 L6660 osmiddoto 86660 86660 96middot0 tl666deg0 11666middot0 96660 8666middot0 8666deg0 tl666middot0 86660 050 6666deg0 66660 6666deg0 00660 66660 6666deg0 6666deg0 66660 06b60 6666deg0 o~smiddoto
6666deg0 6666deg0 66660 0666 0 66660 66660 6666deg0 66660 6666middot0 6666deg0 OOSmiddotO
66660 666600 001)01 0000deg1 6666middot0 6666middot0 6666deg0 0666middot0 tgt66600 OlJmiddotO ggggl 0000deg1 0000middot1 oooOmiddott 0000deg1 deg t 0000 01 OOOOOt 0000deg1 OOUOmiddotl OUOOmiddotl 0deg0 OOOoot 000001 001001 00001 0000deg1 00001 011001 0000middot1 0000middot1 0bullbullmiddot0 00001 ()OOOt 4000deg1 ~ 0000deg1 00001 0200 oOOot 0000deg1 000 I OUOOot 01gt00middot1 00001 0000 01 000deg1 0000deg1 0000deg1 00000( 00001 0000deg1 OOuool 00001 00deg0
OOOOt 000001 OOOOt 0000( 00001 0000deg1 00001 0000deg1 0000middot1 0000deg1 OijpoundO 0000middot1 OOOooL 0000deg1 00001 0000middot1 00001 0000middot1 0000-1 uooomiddott 0000middot 01(0 00001 0000middot t 001)01 00001 0000middot1 0000middot1 00001 00001 ~ ouOOmiddotl 0pounddeg0 0000middot1 0000deg 00001 00001 OOOOOt 0000deg1 00001 OUOOl UOOOol 0000deg O~poundU OOOOt 00001 110001 0000deg1 00001 0000deg1 0000middot1 0000middot1 0000middot1 ~ OOEmiddotO
000pound00 OS~2middot0 OOiZoO OillO OOOZmiddotO 0081deg0 0091deg0 00510 0091deg0 00pounddeg0 ~
fll(
(Q3m~UNOgt 5( 318-1
00
3Table 16 The Enthalpy and Entr opy of He Along the Solubility Curve and the Heat Absorption Rate of the Dilution Refrigerator
T Xt H3 (Xt T) S3 (Xt T) H3 (Xt T) - H3deg(T) (TmTi)Q=O
(O~) 3(Jmo1e He )
3(JoK mole He ) 3
(Jmo1e He ) T=T m
0000 0064000 00 00 00
0001 0064000 9451 x 10-5 010716 8188 x 10 -5 0365
0002 0064002 3781 x 10 -4
02143 3277x10-4 0364
0004 0064007 1 513 x 10 -3 04286 1312x10-3 0361
0006 0064016 3404 x 10-3 06427 2954 x 10 -3 0359
0008 0064029 6050 x 10-3
08567 5254 x 10-3
0357
0010 0064045 9452x10-3 10705 8214x10-3 0355
0015 006410 002125 1604 001850 0349
0020 006418 003772 2134 003288 0345
0025 006429 005881 2660 005132 0339
0030 006443 008443 3182 007377 0334
0035 006459 011448 3697 010012 0329
0040 006480 014884 4206 013028 0325
0045 006503 01873 4705 01641 0320
0050 006530 02298 5195 02014 0316
0060 006596 03257 6141 02857 0306
0070 006680 04347 7032 03813 0298
0080 006784 05549 7867 04865 0289
0090 006906 06844 8643 05995 0281
010 007042 08213 9362 07186 0274
012 007361 11122 10643 09699 0262
014 007731 1 4190 11739 1 2328 0255
016 008157 1 736 12670 1502 0250
018 008628 2058 13468 1 774 0247
020 009144 2383 14154 2046 0245
025 010618 3195 1549 2718 0245
030 012363 3988 1643 3364 0252
035 014373 4749 1710 3975 0260
040 01665 5471 1759 4 541 0271
045 01918 6150 1796 5061 0283
050 02201 6732 1822 5478 0297
055 02527 7338 1839 5916 0311
060 02908 7810 1846 6216 0326
Page 135
TABLE 17
THE HE3 CONCENTRATION SPECIFIC HEAT AND ENTROPy AT CONSTANT ~4
T III m
0000 DEGREES T m
0010 DEGREES Tm 0020 DEGREES
T X Cfgt4 53 X Cfgt4 53 X C~4 53 (K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K) (JMOLE-K)
0000 006400 00000 0001)0 0001 0064011 0107C 01072 0002 006399 02144 02143 1)003 006398 03217 03215 0004 006396 04290 04288
0006 006391 06443 0middot6434 0008 006383 0860 4 08583 0010 006374 10177 10737 006404 10745 10705 0012 006362 12964 12894 006393 12925 12856 0014 006349 15168 15058 006379 15122 15013
0016 1)06333 17391 17228 006364 17339 11171 0018 006316 19637 19406 006346 19578 19348 0020 006296 21907 21592 006326 21842 21528 006418 21645 21331 0025 006238 27104 211OD 006269 27621 27019 006360 27375 26779 0030 006169 33693 32677 006199 33593 32580 006290 3middot3294 32290
0035 006088 39888 38333 006118 39770 38219 006208 39418 37880 0040 005997 46282 44074 006026 46146 43943 006116 45742 43553 0045 005896 52846 49903 005925 52693 49755 006014 52240 49314 0050 005786 59564 55816 005815 59395 55651 005903 58895 55161 0060 005541 73202 67879 005575 73009 67681 005660 72435 67092
0070 005289 86727 80182 005316 86518 79953 1105399 85892 79272 0080 005022 99790 92623 005048 99571 92365 005128 98921 91598 0090 004755 112071 105096 004780 1l185S 104812 1104856 111205 103968 0100 004494 123295 117500 004518 123082 111193 004591 122446 116281 0120 004009 141442 141746 004031 141265 141403 004098 140840 140380
0140 003585 156269 164861 003605 162838 164491 003665 161448 163389 0160 003182 164656 187486 003200 165749 187085 1103259 165830 185794 0180 002908 175207 207065 002924 172729 206659 002974 172843 205449 0200 002654 181627 225819 002669 181539 225403 002714 161273 224163 0250 002155 192703 267752 002167 192629 267319 002204 192403 266030
0300 001806 197727 303369 001817 197703 302925 001848 197634 301600 0350 0400
0middot01551 001356
201378 203670
334078 361131
001560 001364
201326 203647
333632 360677
(101586001387
201166 203580
332303 359322
0450 001203 205341 385205 001210 205319 384749 001231 205265 383393 0500 001079 207311 406925 001085 207267 406466 001104 207124 405100
0550 000977 209525 426780 000982 209480 426317 1100999 209355 424935 0600 0650
000890 000815
211960 214933
445111 4621A8
000895 000819
211917 214842
444643 461716
000910 000834
211778 214654
443252 460311
0700 000749 218847 478254 000753 218781 477774 000766 218554 476354 0750 000690 224606 493538 000694 224507 493054 1gt00706 224094 491613
0800 000635 233202 508299 000639 233033 507806 000650 232577 506334 0850 000583 247028 522826 000587 24677tJ 522321 000597 246067 520817 0900 000531 268309 537531 000535 267920 537007 000545 266765 535449 0middot950 1000
000478 000421
297390 331787
552922 569838
000481 000424
301574 333057
552370 569242
100491 000433
299752 331382
550730 567414
1100 000283 704503 614275 000286 693165 613469 000294 676812 611083 1200 000098 1738501 714579 000100 1677101 710943 000108 Itgt1J305 705365 1300 000000 000000 000000 1400 000000 000000 000000 1500 000000 000000 000000
Page 136
TABLE 17 (CONTINUED)
T m
II 0050 DEGREES T m
bull 0100 DEGREES Tm a 0200 DEGREES
T X Clo4 53 X CIlo4 53 X Cf4 53 IK) (JMOLE-K) CJMOLE-K) (JMOLE-K) (JMOLE-K) (JMULE-K) CJMOLE-KI
0050 006530 55557 51950 000000 00000 00000 000000 00000 00000 0060 006270 68655 63235 000000 00000 00000 000000 0middot0000 00000
00 70 005989 81771 74805 000000 00000 00000 000000 0middot0000 00000 0080 0middot05696 94606 86566 000000 00000 00000 0middot00000 0middot0000 00000 0090 0100
005401 005113
106847 1181A5
98424 1100281
000000 007042
00000 107161
00600 93624
000000 UOOOOO
0middot0000 00000
00000 00000
0 120 004 571 137293 133640 006307 126129 114848 000000 000000 00000
0140 004092 156793 156114 005656 146070 135676 000000 00000 00000 0 160 Ol AO
003653 003327
163652 171204
177909 197439
005061 004604
155667 164952
156134 174878
000000 000000
0middot0000 0middot0000
00000 00000
0 2 00 003037 179369 215941 004201 173821 192764 009144 164768 141542 0 250 002467 190964 257442 003412 187054 233201 u07228 179647 180039
0 3 00 002068 197137 292804 002858 194075 267968 u05973 188660 213658 0 35 0 0 4 00
(l01H6 001553
200234 202994
n34fl 350331
002453 002145
198430 201291
298213 324896
U05086 U04425
194110 197611
243173 269326
)450 001378 205010 374367 001903 203481 348720 003914 200048 292741 0500 001236 206535 396039 001708 204712 370237 003507 201931 313911
0 550 001119 208399 415799 001548 206821 389813 003175 20middot3386 333225 0600 001020 210771 414025 001412 208861 407902 002898 204920 350978 n650 000935 213497 451000 001297 210600 424690 002664 20middot6195 367435 071)0 000861 216978 466944 001196 213002 440377 002461 20middot7636 382765 0 750 000794 22191H 482076 001106 216663 455190 1102285 210191 397161
0 8 00 000733 229486 496632 001025 222308 469343 002128 212345 410815 0amp50 000675 241307 510879 000950 230723 483062 001985 217372 423801 0900 000618 2596~7 525170 000878 243589 496597 001854 223342 436408 0950 000560 288207 539953 000806 263229 510274 001729 231609 448695 1000 000498 321825 555896 000131 289821 524529 001607 244603 460892
1100 000354 580966 595964 000565 305216 557481 001358 288125 486278 1200 000162 1230201 671211 000355 1001625 606464 001079 363583 515631 1 300 000000 000078 2840930 750865 000742 115849 556015 1400 000000 000000 000317 1501686 634901 1500 000000 000000 000000
TABLE 17 (CONTINUED)
T = 0300 DEGREES T 0400 DEGREES T OIOO DEGREES m m m X CJJ4 53 X Cf4 S3 X Cf4 S3
(Kl (JMOLE-K) (JMOLE-K) (JMOLE-K) CJMOLE-K) (JMOLE-K) CJMOLE-KI
0300 012363 197721 164293 0350 010046 198066 194823 0400 008543 1988(1 221262 016650 231794 175895 0450 007456 200199 244745 013616 216682 202286 0500 006625 201422 265893 011739 209547 224585 022010 284688 182210
0550 005964 2()2486 285136 010385 207183 244405 017706 241038 207168 0600 005423 203453 302792 009340 206270 262377 015343 221874 226966 0650 004973 21)4394 319111 008499 205979 278867 013675 215281 244396 0700 004589 205386 334292 007803 206054 294129 012391 212093 260209 0750 004258 206601 348500 007214 206428 308354 011354 2100432 274773
0800 003968 208229 361883 006707 207156 321697 010490 20middot9682 288323 0S50 003710 210496 374572 006263 208357 334289 009753 209631 301028 0900 003477 213783 386691 005868 middot210216 346247 009111 210241 313024 0950 003261 218696 398373 005512 213016 357683 008544 211636 324424 1000 003058 225569 409762 005184 217007 368707 008032 213912 335333
1100 002670 248215 432273 004583 230394 389969 007127 222135 356068 1200 002275 292769 455737 004014 255243 411031 006314 237633 376018 1300 001839 370332 482695 003432 299765 433198 005531 265004 396073 1400 001329 483665 518038 002796 384167 458542 004725 313845 417432 1500 000707 1466084 577753 002064 573025 491242 003846 405955 442029
Page 137 GPO 840middot 501