C.V.V. Prasad et al- Fourier transform emission spectroscopy of the second negative (A^2-Pi-u-X^2-Pi-g)system of the O2^+ ion

8/3/2019 C.V.V. Prasad et al- Fourier transform emission spectroscopy of the second negative (A^2-Pi-u-X^2-Pi-g)system of t

1/16

MOLECULA R PHYSICS, 1997, VOL . 91, NO. 6, 10591074

Fourier transform emission spectroscopy of the second negativ(A

2P u- X

2P g) system of the O

+2 ion

By C. V. V. PRAS AD, D. LACOMBE, K. WALKER, W. KONG,

P. BERNATH an d J . HEPBURN

Department of Chemistry, University of Waterloo, Waterloo, Ontario,

Canada N2L 3G1

( Received 10 February 1997; accepted 18 February 1997)

The second negative (A2P u - X

2P g) system of the O

+2 ion was produced in a tungsten hollow

cathode discharge tube using oxygen in neon. This spectrum was recorded with the McMathPierce Fourier transform spectrometer of the National Solar Observatory. A total of ten bandswith v

= 0 a n d 1 a n d v

= 6 to 12 in the range 15 94530 218 cm

- 1were observed and

rotationally analysed. The line positions of all these bands, along with those of a few addi-tional bands available in the literature, were combined in a global least-squares t. Manymolecular parameters for the various vibrational levels and the equilibrium molecular con-

stants for the X and A states were estimated. RKR potential energy curves were constructedand FranckCondon factors were calculated for the vibrational bands of the second negative(AX ) system. Some additional information obtained from threshold photoelectron spectro-scopy was used to extend the X 2P g potential curve up to v = 24.

1. Introduction

Oxygen, being one of the most abundant constituents

in the Earths atmosphere, is of great interest to many

dierent researchers. The oxygen molecule (O2) and itsions have been investigated by spectroscopists for more

than a century. The band systems of molecular oxygen

and its ions play a signicant role in the aurora, airglow

and nightglow [1, 2]. Molecular oxygen may also be an

important astronomical molecule although it is dicult

to detect from the surface of the Earth. The microwave

spectrum (60 GHz) of molecular oxygen [3] is suggestedas a useful probe of the thermal structure of the Earths

atmosphere. While the SchumannRunge (B3R

-u - X

3R

-g )

band system in the spectral region 17505350 A is theonly prominent electric dipole transition of molecular

oxygen, the singly ionized molecular ion O +2 has three

allowed electric dipole transitions: the rst negative

( b4R

-g - a

4P u) system (49908530 A ), the second negative

( A 2P u - X 2P g ) system (19406530 A ), and the Hopeld( c

4R

-u - b

4R

-g ) system (19402360 A ). The second nega-

tive system of O +2 is the subject of this paper.

Although the rst spectroscopic observation of the

second negative system of O +2 was mad e in 1914 b y

Stark [4], the emitter was not correctly identied as

O+2 until the work of Stevens [5] in 1931. Alm ost 120

bands of this system were observed at low resolution

and signicant contributions were made by several

researchers [612]. The vibrational assignments for

these bands were originally made by Birge in 1925 and

soon the v

number became a topic for further inves

tions. Mulliken [13] used Birges original numberin

his review article on the interpretation of band spe

Mulliken and Stevens [14] increased the v

values

posed by Birge by two units. Later on Bhale and

[12] in 1968 made an upward revision of Mulliken

Stevens [14] lower state vibrational quantum num

by one m ore unit. A lbritton et al. [15], Edqvist et al

and Jonathan et al. [17] calculated the FranckCon

factors f or the A2P u - X

2P g system of O

+2 , O

+2 X

2P

O2 X3R

-g , a n d O

+2 X

2P g O2 a

1ng transitions, res

tively, using the vibrational numbering of the X

state proposed by B hale and Rao [12] and conr

that the latest revision of v

numbering is the co

one.

The rotational and ne structure analysis of

second negative system is not as extensive as the

resolution work. Stevens [5] and Bozoky [18] were

rst to perform rotational analyses of some of tbands. Stevens [5], who presented the rst rotati

analysis of this system, erroneously concluded tha

upper state is a regular P state. He analysed only

bands with v

= 0 and 1. The work of Bozoky [18

which the bands with v

= 0, 1, 5, 6, 7 and 8 were r

tionally analysed, demonstrated that the spin

coupling constant varies from negative at low v to p

tive at high v. Bhale [19] analysed the rotational st

ture of the 08 and 17 bands. On the basis of rst

in each branch and their intensities Bhale concluded

00268976/97 $12 . 00 1997 Taylor & Francis Ltd.


2/16

the upper state of these two bands is indeed an inverted

state. Raftery and Richards [20] calculated that the

spinorbit coupling constant for the A2P u state varies

from positive at low v to negative at high v. However,

this proposal was convincingly disproved by subsequent

researchers. Albritton et al. [21] and also more recently

Coxon and Haley [22] determined the spinorbit cou-

pling constants for the vibrational levels of the A state

using least-squares tting techniques and conrmedBhales [19] conclusions.

Signicant contributions to the rotational analysis of

the bands of the second negative system of O+2 came

from the work of Albritton et al. [21], Bhale and Nar-

asimham [23], and C olbourn and Douglas [24]. While

Albritton e t a l. [21] were the rst to perform least-

squares ts of the data of this band system, Bhale and

Narasimham [23] re-photographed and analysed some

of the bands analysed by Stevens [5] and Bozoky [18]

at a higher dispersion (0. 55 A mm - 1 ) than their prede-cessors. Colbourn and D ouglas [24] extended the rota-

tional analysis to bands with high v

values, v

= 11 to15, and v

= 0 and 1. For the literature on the second

negative system of O +2 prior to 1977, the reader is

referred to the review article by Krupenie [25] and

Huber and Herzberg [26].

Spectroscopic work on the second negative system of

O+2 in the 1980s and the 1990s is limited. Coxon and

Haley [22] combined their data of this system obtained

from grating spectra with that of Colbourn and Douglas

[24] and performed a comprehensive least-squares ana-

lysis using an eective2P Hamiltonian and the method

of merging. Schappe e t a l. [27] produced this bandsystem in emission and measured optical-emission

cross-sections for v

= 0 to 13. Y eager et a l. [28]

obtained potential energy curves for various electronic

states of the O +2 molecule using the multicongurational

spin tensor electron propagator (MCSTEP) method.They also reported the molecular constants obtained

using the MCSTEP method. Kong and Hepburn [29],

in their photoelectron spectroscopic study of O2 using

coherent XUV, observed high vibrational levels (up to

v = 24 ) of the X 2P g state of O+2 .

In the present study we investigated the second nega-

tive (A 2P u - X 2P g ) system of O+2 , in the spectral region15 94530 218 cm

- 1, p rod u ced in a tun gsten h ollo w

cathode source and recorded using a Fourier transform

spectrometer. Ten bands with v

= 0 and 1 and v

= 6 to

12 were observed and their rotational structure ana-

lysed. The rotational structure of the 011 and 012

bands are analysed for the rst time and that of the 0

10 band is analysed for the rst time since the initial

analysis of Bozoky [18] in 1937. The wavenumber data

obtained from our Fourier transform spectra were com-

bined with selected data of Coxon and Haley [22] in a

global least-squares t. For the rst time, using the

of Kong and Hepburn [29], the RK R potential en

curve for the X2P g state of this molecule is extende

to the vibrational level v = 24. FranckCondon fac

for the vibrational bands of the second negative (A

system were also calculated.

2. Experimental details

The second negative (A 2P u - X 2P g) system of theion was produced by accident in a tungsten ho

cathode discharge. The original goal was to reco

spectrum of WO. Oxygen at a pressure of 0. 2 Torr

3.5 Torr of neon were used in a continuous fast ow

the production of the O+2 ions in a discharge

221 mA of current. The radiation emitted by O+2directed into the entrance aperture of the McM

Pierce Fourier transform spectrometer of the Nati

Solar Observatory at Kitt Peak. Eight scans were

add ed in 54 min o f integration at a reso lu tion

0.03 cm

- 1

. Silicon photodiode detectors were used CuSO4 optical lters to limit the spectral regio

15 90030 200 cm -1

. Th e O+2 spectrum recorded in

source contained many atomic lines of neon and

enabled us to calibrate the spectrum using the line p

tions reported by Palmer and Engleman [30]. No

bration factor was necessary.

3. Analysis and resultsThe b an ds o f the seco n d n egative (A

2P u - X

system o f the O +2 ion show double-headed fea

that are degraded to longer wavelengths. In the prework ten bands with v

= 0 and 1, and v

= 6 to 12

observed in the spectral region of 18 50030 210 cm

The tungsten hollow cathode discharge used in our w

provided a very intense spectrum of O +2 . In the ca

the strong 08 to 012 bands, the rotational en

levels higher than J = 50 were populated. The b

o f the second negati ve sy stem in the 16

18 500 cm-1

region are severely overlapped by

stro nge r b an ds o f th e rst n ega ti ve ( b4R

-g - a

system. Hence in this spectral region, no rotational

lysis was performed in spite of having a rich spectru

O+2 .The computer program PC-DECOMP, develope

J. W. Brault at the National Solar Observatory,

used to measure the line positions. The rotational

proles were tted to Voigt lineshape f unctions.

strong lines show `ringing caused by the (sin x /x)shape function of the Fourier transform spectrom

The ringing was eliminated by using the `lter t

option. The signal-to-noise ratio is about 25 for

intense lines in the spectrum. The rotational quan

numbers and the vacuum wavenumbers of the spe

1060 C. V. V. Prasad et al.


3/16

lines of the 10 bands observed in the present work are

listed in table 1.

The two electronic states X2P g and A

2P u involved in

the second negative system of O+2 belong to Hunds case

( a) and Hunds case (b) respectively. For the vibrationallevel of the A

2P u state, the spinorbit coupling con-

stants are not only very small ( for v = 0,

Av = - 3. 5 cm- 1) but change sign for the vibrational

levels above v = 6. Eight dierent branches, four Pand four R, are identied for each vibrational band.

The satellite Q branches that are expected in a PPtransition are not observed in our spectra because the

weak Q branches are completely overlapped by the

stronger P and R branches. In our earlier work on the

Swan (3P -

3P ) system of the C2 molecule [31], the satel-

lite Q branches were observed in the spectrum produced

in a supersonic jet source but not in the spectrum pro-

duced in a hollow cathode source.

The O+2 ion is a homonuclear diatomic molecule and

the nuclear spin I of oxygen is zero. Hence the antisym-

metric (a) energy levels are not populated [32]. Since thes /a symmetry (associated with the permutation of the

two identical nuclei) alternates with J, every alternatespectral line is missing in the spectrum. For a

2P -

2P

transition this eect is not obvious because of the two-

fold orbital degeneracy of the P states. In this case one

of the two K-doublets is missing for each J and, apart

from the slight `staggering of the lines in a branch, the

spectrum has a normal appearance. In table 1, the spec-

tral lines with even ( J - 12) values represent an e etransition and those with odd ( J - 12) values represent

an f

f transition.Initially, band-by-band ts of the wavenumber data

of table 1 were made using the eective N2

Hamiltonian

of Brown et al. [33]. The matrix elements for a2P state

were explicitly listed by A miot et al. [34]. In the present

work, wavenumber data of the 25, 26, 34, 42, 44,

45, 53, and 511 bands from Coxon and Haley [22]

were combined with our Fourier transform data, in the

nal global least-squares t. Initially, many other bands

from Coxon and Haley [22] were included in our t.

However, our least-squares ts indicated problems

with systematic errors in their data, so that only the

data from the eight bands mentioned above were used.The data from Colbourn and D ouglas [24], used by

Coxon and Haley [22], were not used in our global t

because of their fragmentary nature. Our nal data set

contained more than 4000 transitions that were tted

together simultaneously in a nonlinear least-squares t

and 122 parameters were estimated. The variance of this

global t was 1.667. Of the 122 parameters estimated in

this t 82 of them Av, Bv, D v , qv and pv for the levels

v = 2 to 12, Tv and AD v for v = 3 to 12, Hv for v = 8

to 11, and pD v for v = 9 to 11 were for the X2P g state

and the remaining 40, Tv , Av , AD v , Bv , D v , qv and p

the levels v = 0 to 5 (AD v and qv were not estimate

the v = 2 level) w ere f or th e A 2P u state. All tparameters along with one standard deviation er

are listed in table 2 for the X2P g state and in tab

for the A2P u state. In table 1, the observed minus

culated values obtained for the line positions using

constants listed in tables 2 and 3 are also listed.

obs.- calc. values are not given for a few spectral which were not included in the least-squares t. molecular constants reported in tables 2 and 3 ar

improvement on the previous work because the majo

of the measurements were made with a Fourier tr

form spectrometer.

Kong and Hepburn [29], in their recent study o

threshold photoelectron spectrum of O2 using cohe

XUV radiation, observed several vibrational levels

to v = 24, except v = 22) of the X 2P g state of theion. The Tv values reported by them for the vibrati

levels v = 13 to 24 were used in our work. Their tvalues were shifted linearly to bring them to the s

wavenumber scale as the term values obtained f rom

constants in table 2. The Bv an d Tv values listed in t

3 for the A2P u state and those listed in table 2 for

X2P g state, along with the adjusted term values fo

v = 13 to 24 levels were tted to the usual polyno

expressions [32] in powers of (v + 12) to obtain eqbrium molecular constants. From these ts the eq

brium constants Be , ae , g e , etc., and xe , xexe , xe ye ,

were estimated for the X2P g a nd A

2P u states,

reported along with one standard deviation in tab

The equilibrium internuclear distance, re , is calcul

using the corresponding Be value for the X and A st

and is given in the same table.

The RKR potential energy curve for the X state

calculated using the equilibrium constants given in t

4. The RKR turning points obtained for the obse

vibrational levels of the X state are listed, for conv

ence, in table 5. The RKR potential energy cur

shown in gure 1. The potential energy curve for

The second negative system of O +2

Figure 1 . The RKR potential energy curve f or the Xstate of the O

+2 ion.


4/16


Table1

.

Vacuum

wav

enumbersa,b(incm

-1)fortherotationallinesofthebandsofthesecon

dnegative(A

2P

u-

X2P

g)systemoftheO

+ 2

molecule

.

J

R11

R12

R21

R22

P11

P12

P21

P22

0

12band

1.5

19840.9

27

(-14)

2.5

19851.8

26

(28)

19841.8

74

(0)1

9654.0

15

(3)

19837.5

58

(2)

3.5

19852.0

30

(2)

19840.3

14

(1)1

9652.3

66

(8)

19833.4

26

(-

5)

19637.3

20

(4)

4.5

19851.8

26(-15)

19663.6

05

(-7)

19838.1

52

(-1)1

9649.9

21

(-3)

19828.9

11

(-

1)

19818.99

4

(7)

19630.7

57

(-2)

5.5

19850.5

75

(22)

19662.1

83

(6)

19834.9

61

(6)1

9646.5

85

(6)

19823.3

88

(6)

19635.0

08

(0)

19811.66

1

(-7)

19623.2

97

(5)

6.5

19848.9

52

(10)

19660.1

74

(1)

19831.2

91

(-1)1

9642.5

23

(0)

19817.5

11

(3)

19628.7

38

(0)

19803.83

2

(12)

19615.0

52

(2)

7.5

19846.1

01

(-1)

19657.1

32

(0)

19826.4

95

(5)1

9637.4

98(-24)

19810.4

61

(-

4)

19621.4

98

(3)

19794.86

4

(-2)

19605.9

05

(8)

8.5

19843.0

40

(-4)

19653.5

61

(-0)

19821.3

42

(-3)1

9631.8

69

(6)

19803.1

69

(1)

19613.6

89

(3)

19785.52

1

(2)

19596.0

26(-10)

9.5

19838.6

38

(1)

19648.9

04

(1)

19814.9

55

(4)1

9625.2

20

(3)

19794.5

81

(4)

19604.8

37

(-5)

19774.97

2

(7)

19585.2

37

(6)

10.5

19834.1

17

(-4)

19643.7

18(-39)

19808.3

27

(-4)1

9617.9

63

(-5)

19785.8

33

(-

3)

19595.4

79

(7)

19764.13

5

(-3)

19573.7

78

(4)

11.5

19828.1

50

(8)

19637.4

98

(24)

19800.3

57

(6)1

9609.6

83

(1)

19775.6

88

(4)

19585.0

15

(-0)

19751.99

3

(-6)

19561.3

31

(1)

12.5

19822.1

54

(-6)

19630.7

57

(7)

19792.2

57

(-1)1

9600.8

43

(-4)

19765.4

87

(-

3)

19574.0

81

(2)

19739.70

2

(2)

19548.2

86

(-3)

13.5

19814.6

07

(2)

19622.8

38

(1)

19782.6

89

(-4)1

9590.9

21

(-3)

19753.7

74

(3)

19562.0

06

(3)

19725.98

3

(3)

19534.2

14

(2)

14.5

19807.1

54

(2)

19614.5

32

(-0)

19773.1

18

(-9)1

9580.5

04

(-3)

19742.1

09

(-

7)

19549.4

93

(-4)

19712.21

5

(0)

19519.5

94

(-1)

15.5

19798.0

16

(-1)

19604.9

84

(-4)

19761.9

77

(-1)1

9568.9

46

(-2)

19728.8

31

(1)

19535.8

00

(0)

19696.91

9

(2)

19503.8

86

(-2)

16.5

19789.0

87

(-2)

19595.1

05

(3)

19750.9

38

(-1)1

9556.9

53

(1)

19715.7

08

(-

2)

19521.7

26

(2)

19681.68

2

(-4)

19487.7

00

(1)

17.5

19778.3

74

19583.9

25

(-0)

19738.2

00

(-6)1

9543.7

53

(-4)

19700.8

56

(3)

19506.4

03

(-1)

19664.81

2

(-1)

19470.3

56

(-8)

18.5

19767.9

63

(-1)

19572.4

55

(-3)

19725.6

86

(-5)1

9530.2

18

(34)

19686.2

64

(-

1)

19490.7

54

(-4)

19648.11

3

(-2)

19452.6

05

(-3)

19.5

19755.6

69

(2)

19559.6

45

(-0)

19711.3

75

1

9515.3

28(-25)

19669.8

40

(3)

19473.8

16

(1)

19629.67

2

(3)

19433.6

44

(-3)

20.5

19743.7

70

(-4)

19546.5

94

(-4)

19697.3

81

(-3)1

9500.2

03

(-4)

19653.7

73

(-

4)

19456.5

98

(-2)

19611.50

2

(-2)

19414.3

21

(-6)

21.5

19729.9

00

(7)

19532.2

23

(73)

19681.4

81

(-1)1

9483.7

33

(-7)

19635.7

77

(-

0)

19438.0

32

(-2)

19591.48

5

(0)

19393.7

35

(-7)

22.5

19716.5

07

(-5)

19517.5

21

(-1)

19666.0

10

(-1)1

9467.0

23

(2)

19618.2

39

(-

3)

19419.2

50

(-3)

19571.84

7

(-4)

19372.8

57

(-5)

23.5

19701.0

41

(-3)

19501.4

38

(1)

19648.5

21

(-3)1

9448.9

18

(1)

19598.6

73

(3)

19399.0

64

(1)

19550.25

8

(-2)

19350.6

49

(-4)

24.5

19686.1

75

(4)

19485.2

27

(-2)

19631.5

66

(-4)1

9430.6

31

(2)

19579.6

56

(-

2)

19378.7

17

19529.15

3

(-4)

19328.2

05(-10)

25.5

19669.1

16

(-0)

19467.5

05

(-1)

19612.4

92

(-6)1

9410.9

69

(81)

19558.5

11

(-

2)

19356.9

05

(2)

19505.99

1

(-2)

19304.3

80

(-3)

26.5

19652.7

53

(7)

19449.7

17

(-4)

19594.0

54

(-4)1

9391.0

24(-10)

19538.0

19

(0)

19334.9

92

(-2)

19483.41

4

(-4)

19280.3

94

(0)

27.5

19634.1

04

(1)

19430.5

38

19573.4

01

(1)1

9369.6

55

(0)

19515.3

28

(26)

19311.5

58

(1)

19458.68

2

(-2)

19254.9

43

(4)

28.5

19616.2

31

19410.9

69(-27)

19553.4

74

(4)1

9348.2

34

(-1)

19493.3

31

(8)

19288.0

85

(-2)

19434.63

6

(0)

19229.4

17

(17)

29.5

19596.0

26

(27)

19389.9

92

19531.2

27

(3)1

9325.2

25

(7)

19469.0

40

(7)

19263.0

28

(2)

19408.32

9

(-0)

19202.3

22

(-0)

30.5

19576.6

27

(6)

19369.0

54

(0)

19509.8

01

(-3)1

9302.2

34

(-1)

19445.5

68

(2)

19238.0

20

(22)

19382.80

7

(2)

19175.2

31

(-7)

31.5

19554.8

00

(3)

19346.4

00

(-8)

19485.9

69

(-0)1

9277.5

75

(-4)

19419.7

05

(2)

19211.3

01

(-12)

19354.92

1

(-8)

19146.5

29(-10)

32.5

19533.9

12

(1)

19323.9

00

(5)

19463.0

63

(11)1

9253.0

34

(-3)

19394.7

52

(7)

19184.7

41

(11)

19327.92

8

(1)

19117.9

34

(23)

33.5

19510.4

94

(-0)

19299.6

11

(4)

19437.6

31

(2)1

9226.7

46

(6)

19367.3

11

(2)

19156.4

21

(1)

19298.47

6

(-3)

19087.6

50

(58)

34.5

19488.0

92

(-0)

19275.5

19

(-2)

19413.2

20

(7)1

9200.6

63

(22)

19340.8

58

(2)

19128.2

80

(-4)

19270.00

0

(3)

19057.4

34

(8)

35.5

19463.0

63(-19)

19249.5

83

(-4)

19386.1

99

(1)1

9172.7

03

19311.8

48

(3)

19098.3

51

19238.97

7

(-3)

19025.4

23(-61)

36.5

19439.1

61

19223.9

28

(-2)

19360.2

90

(11)1

9145.0

19(-29)

19283.8

95

19068.7

27

(63)

19209.02

5

(10)

18993.8

59

(76)

37.5

19412.5

56

19196.3

51

(-0)

19331.6

71

(-2)1

9115.4

68

19253.2

98

(-13)

19037.1

19

(13)

19176.41

7

(-9)

18960.2

58

(37)

38.5

19387.1

04

(-6)

19169.1

21

(-1)

19304.2

65

(17)1

9086.2

63

(3)

19223.8

58

19005.8

67

(-3)

19145.01

9

(42)

18926.9

89

39.5

19358.9

18

(9)

19139.8

97

(1)

19274.0

46

(-3)1

9055.0

35

(-1)

19191.6

93

(-

7)

18972.6

94

(6)

19110.81

6

(-2)

18891.8

19

(14)

40.5

19111.1

13

(15)

19245.1

17

(3)1

9024.2

78

19160.6

65

(-78)

18939.9

15

(8)

19077.88

8

(7)

18857.0

40

(-5)

41.5

19080.2

26

(2)

19213.2

80(-42)1

8991.4

10

18905.1

13

(13)

19042.14

1(-11)

18820.2

26

(14)

42.5

19049.8

29(-29)

19182.8

89

(16)1

8959.1

03

18870.7

80

(5)

19007.69

5(-29)

43.5

19017.2

81(-52)

19149.5

04

(18)1

8924.5

82

(-8)

18834.3

42

(-1)

18970.42

7

(2)


5/16


46.5

18917

.723

(-2)

19049.0

23(-27)

18858.23

6

(15)

47.5

18881

.899

(2)

19012.5

01

(32)

18817.78

2

48.5

18977.4

40(-18)

18778.86

5

(-5)

49.5

18939.2

80

18736.86

0

50.5

18902.6

97(-43)

18696.44

2

(-6)

51.5

18652.86

8

52.5

18610.97

1

(18)

53.5

18565.80

4

54.5

18522.33

8(-45)

0

11band

1.5

21355.3

33

(2

1)

2.5

21351.8

26

21156.2

09(-22)

3.5

21366.1

22(-35)

21177

.171

(-4)

21354.4

49

(7)2

1165.4

59

(-1)

21347.5

57

(-

3)

21150.4

18

(-1)

4.5

21365.7

92

(3)

21176

.531

(2)

21352.1

09

(7)2

1162.8

40

(-1)

21342.8

58

(-

2)

21332.94

6

(10)

21143.6

42(-32)

5.5

21364.2

84

(4)

21174

.861

(-5)

21348.6

79

(-4)2

1159.3

19

(50)

21337.1

13

(2)

21147.6

95

(-2)

21325.38

8

(-8)

21136.0

48

(66)

6.5

21362.4

07

(-1)

21172

.589

(-4)

21344.7

58

2

1154.9

44

(0)

21330.9

76

(3)

21141.1

60

(2)

21317.29

2

(6)

21127.4

71

7.5

21359.2

21(-45)

21169

.247

(3)

21339.6

83

(28)2

1149.6

31

(-1)

21323.6

38

(9)

21133.6

05

(-1)

21308.02

8

(-3)

21118.0

1

(3)

8.5

21355.8

67

(1)

21165

.319

(-3)

21334.1

73

(5)2

1143.6

42

(19)

21315.9

93

(3)

21125.4

47

(2)

21298.33

7

(-3)

21107.7

93

(-2)

9.5

21351.0

79

(1)

21160

.271

(1)

21327.3

92

(-0)2

1136.5

80

(-5)

21307.0

18

(1)

21116.2

10

(1)

21287.41

5

(10)

21096.5

96

(-2)

10.5

21346.1

40

(2)

21154

.689

(-2)

21320.3

48

(-1)2

1128.9

02

21297.8

54

(1)

21106.4

07

(0)

21276.15

9

(5)

21084.7

07

(-1)

11.5

21339.6

83(-14)

21147

.928

(-4)

21311.9

09

(4)2

1120.1

46

(5)

21287.2

33

(-

7)

21095.4

76

(2)

21263.55

4

(1)

21071.7

79(-10)

12.5

21333.2

14

(4)

21140

.695

(3)

21303.3

09

(0)2

1110.7

90

21276.5

45

(4)

21084.0

23

(1)

21250.75

1

21058.2

59

(27)

13.5

21325.1

15

(2)

21132

.219

(-2)

21293.1

99

(-2)2

1100.3

06

(-3)

21264.2

83

(4)

21071.3

86

(-1)

21236.49

2

(3)

21043.5

96

(-0)

14.5

21317.0

77

(3)

21123

.313

(-5)

21283.0

52

(2)2

1089.2

93

(-0)

21252.0

41

(1)

21058.2

59

(-24)

21222.13

8

(1)

21028.3

78

(-2)

15.5

21307.3

21

(4)

21113

.131

(-2)

21271.2

90

(13)2

1077.0

91

(-3)

21238.1

31

(1)

21043.9

46

(1)

21206.21

8

(1)

21012.0

27

(-6)

16.5

21297.7

21

(-2)

21102

.565

(-1)

21259.5

69

(-4)2

1064.4

13

(-3)

21224.3

48

(4)

21029.1

87

(-1)

21190.32

0

(1)

20995.1

64

(1)

17.5

21286.3

04

21090

.665

(-0)

21246.1

36

(0)2

1050.4

90

(-7)

21208.7

86

(3)

21013.1

45

(0)

21172.74

3

(-0)

20977.1

03

(-1)

18.5

21275.1

46

(-2)

21078

.437

(3)

21232.8

75

(0)2

1036.1

61

21193.4

46

(-

3)

20996.7

32

(-2)

21155.29

9

(0)

20958.5

85

(1)

19.5

21262.0

72

(7)

21064

.815

(-1)

21217.7

73

2

1020.5

21

(-2)

21176.2

41

(6)

20978.9

85

(-0)

21136.04

8(-19)

20938.8

14

(-4)

20.5

21249.3

45

(-1)

21050

.942

(21)

21202.9

54

(0)2

1004.5

28

(-3)

21159.3

19

(-29)

20960.9

22

(-2)

21117.07

6

(1)

20918.6

48

(-2)

215

21234.5

97

(1)

21035

.584

(0)

21186.1

84

(-2)2

0987.1

72

(-2)

21140.4

85

(3)

20941.4

67

(-1)

21096.19

6

(8)

20897.1

69

(-7)

22.5

21220.3

09

(2)

21020

.023

(-4)

21169.8

03

(-3)2

0969.5

23

(-2)

21122.0

39

(0)

20921.7

54

(-3)

21075.64

7

(-0)

20875.3

65

(-1)

23.5

21203.8

93

(1)

21002

.969

21151.3

74

(2)2

0950.4

47

(-3)

21101.5

20

(2)

20900.5

99

(4)

21053.10

6

(-1)

20852.1

83

(-2)

24.5

21188.0

29

(0)

20985

.749

(-1)

21133.4

28

(-0)2

0931.1

49

(-1)

21081.5

14

(-

2)

20879.2

37

21031.01

4

(-1)

20828.7

29

(-7)

25.5

21169.9

46

(2)

20966

.972

(1)

21113.3

27

(1)2

0910.3

52

(-1)

21059.3

40

(-

1)

20856.3

70

(2)

21006.81

8

(-3)

20803.8

45

(-3)

26.5

21152.5

04

(0)

20948

.091

(-0)

21093.8

17

(1)2

0889.4

03

(-1)

21037.7

79

(3)

20833.3

62

(-2)

20983.17

7

(1)

20778.7

60

(-3)

27.5

21132.7

51

(2)

20927

.593

(4)

21072.0

48

(3)2

0866.8

81

(-5)

21013.9

46

(-

0)

20808.7

84

(-3)

20957.33

1

(2)

20752.1

68

(-1)

28.5

21113.7

25

20907

.050

(2)

21050.9

45(-19)2

0844.2

88

(0)

20990.8

16

(-

0)

20784.1

38

(-2)

20932.12

8

(-1)

20725.4

53

29.5

21092.3

06

(9)

20884

.822

21027.5

23

(-0)2

0820.0

47

(-1)

20965.3

25

(-

7)

20757.8

58

(2)

20904.62

7

(-1)

20697.1

43(-10)

30.5

21071.6

74(-14)

20862

.618

(-6)

21004.8

71

(2)2

0795.8

04

(-2)

20940.6

32

(-

0)

20731.5

74

(6)

20877.87

0

(-2)

20668.7

79(-29)

31.5

21048.5

88

(2)

20838

.678

(7)

20979.7

59

(2)2

0769.8

40

(-2)

20913.4

96

(5)

20703.5

80

(4)

20848.71

4

(-3)

20638.8

03

(1)

32.5

21026.3

85

(1)

20814

.817

(2)

20955.5

29

(3)2

0743.9

56

(-0)

20887.2

13

(-

6)

20675.6

47

(-2)

20820.40

1

(0)

20608.8

30

(-1)

33.5

21001.6

03

(-4)

20789

.138

(3)

20928.7

44

(4)2

0716.2

75

(6)

20858.4

16

(-

5)

20645.9

49

(-0)

20789.58

9

(-3)

20577.1

21

(1)

34.5

20977.8

04

(-4)

20763

.625

(3)

20902.9

33

(4)2

0688.7

55

(13)

20830.5

67

(-

5)

20616.3

73

(-12)

20759.71

4

20545.5

38

(11)

35.5

20951.3

50

(-4)

20736

.217

(3)

20874.4

71

(2)2

0659.3

32

(3)

20800.1

14

(-

4)

20584.9

79

(2)

20727.25

1

20512.1

05

(-6)

36.5

20925.9

58

(4)

20709

.052

(7)

20847.0

75

(2)2

0630.1

76

(12)

20770.7

07

(1

9)

20553.7

76

(-3)

20695.81

2

(4)

20478.8

95

(-4)

37.5

20897.8

20

20679

.901

(-5)

20816.9

41

(4)2

0599.0

37

(14)

20738.5

76

(1)

20520.6

56

(-5)

20661.68

8

(-2)

20443.7

80

(3)

3 8 5

2 0 8 7 0 8

1 1

( 3 )

2 0 6 5 1

0 8 6

( 3 )

2 0 7 8 7 9

6 2

( 1 0 ) 2

0 5 6 8 2

3 1

( 1 0 )

2 0 7 0 7 5

5 6

(

6 )

2 0 4 8 7 8

3 3

( 2 )

2 0 6 2 8 6 8

0

2 0 4 0 8 9

5 9

( 9 )


6/16


Table1(continued)

J

R11

R12

R21

R22

P11

P12

P21

P22

0

11band

39.5

20840.9

85(-14)

20620

.222

(10)

20756.1

50

(10)2

0535.3

65

(13)

20673.7

92

(1)

20453.0

00

(-3)

20592.90

9

(1)

20372.1

40

(19)

40.5

20812.3

94

(13)

20589

.732

(-3)

20812.3

82

2

0502.9

05

(-9)

20641.1

90

20418.5

44

(0)

20558.32

9

(1)

20335.6

99

(18)

41.5

20780.8

76

(-8)

20557

.129

(0)

20692.0

64

(-6)2

0468.3

47

(32)

20605.7

59

20382.0

10

(5)

20520.88

3(-17)

20297.1

45

42.5

20525

.001

(1)

20659.9

03

(8)2

0434.2

45

20571.5

53

(-13)

20345.9

17

(1)

20484.74

9

(3)

20259.0

96

43.5

20490

.651

(-7)

20624.7

22

(-1)2

0397.9

46

(31)

20307.6

68

(1)

20445.66

6

(4)

20218.8

94

(41)

44.5

20456

.868

(-9)

20590.9

48

(0)

20269.9

48

(-4)

20407.95

9

(26)

45.5

20420

.780(-16)

20554.0

93

20229.9

91

(0)

20367.19

7

(5)

46.5

20385

.364

(1)

20518.7

12

(-1)

20190.6

71

(20)

20327.88

6

(2)

47.5

20347

.532(-10)

20480.1

80

(7)

20148.9

51

(-24)

20285.48

5

48.5

20310

.450

(-8)

20443.1

75

(-8)

20108.0

15

(1)

20244.59

3

(-2)

49.5

20270

.883(-11)

20064.6

28

(4)

20200.53

8

50.5

20022.0

47

(7)

20158.08

9

(26)

51.5

19976.9

02

(-31)

20112.38

7

(40)

52.5

20068.28

6

(2)

0

10band

1.5

22902.3

96

(9)

2.5

22898.8

01

22702.2

42

(10)

3.5

22913.0

14

(21)

22723

.036

(4)

22901.2

98

(21)2

2711.3

15

(-3)

22894.3

96

(1)

22696.2

77

(-0)

4.5

22912.4

42

(-3)

22722

.205

(4)

22898.7

84

(27)2

2708.5

15

(2)

22889.5

17

(1)

22699.3

28

(55)

22879.55

3(-39)

22689.3

52

(4)

5.5

22910.7

15

(-2)

22720

.312

(-2)

22895.1

12

(-6)2

2704.7

19

(3)

22883.5

43

(-

4)

22693.1

42

(-3)

22871.83

3

(1)

22681.4

35

(5)

6.5

22908.5

83

(-2)

22717

.771

(-3)

22890.9

35

2

2700.1

24

(-1)

22877.1

53

(3)

22686.3

39

(-1)

22863.51

0

(47)

22672.6

52

7.5

22905.1

44

(1)

22714

.135

(18)

22885.5

58

(26)2

2694.5

05

(-1)

22869.5

18

(1

2)

22678.4

80

(0)

22853.90

7

(-1)

22662.8

86

(4)

8.5

22901.3

95

(-8)

22709

.843

(-4)

22879.6

88(-18)2

2688.1

50

(2)

22861.5

29

(1)

22669.9

73

(2)

22843.87

6

(-1)

22652.3

33

(12)

9.5

22896.2

34

(-2)

22704

.408

(2)

22872.5

48

(-2)2

2680.7

14

(-6)

22852.1

78

(3)

22660.3

52

(8)

22832.55

3(-11)

22640.7

33

(-1)

10.5

22890.8

93

(16)

22698

.394

(-3)

22865.0

83

(-4)2

2672.6

07

22842.5

89

(-

2)

22650.1

12

(0)

22820.89

7

(4)

22628.4

13

(-1)

11.5

22883.9

72

(-4)

22691

.165

(-1)

22856.1

96

(11)2

2663.3

65(-10)

22831.5

21

(3)

22638.6

95

(-13)

22807.82

8

(-4)

22615.0

22

(-0)

12.5

22876.9

90

(-1)

22683

.413

(-1)

22847.0

85

(-3)2

2653.5

11

22820.3

19

(-

1)

22626.7

34

(-9)

22794.53

2

(2)

22600.9

53

(-0)

13.5

22868.3

59

(6)

22674

.387

(-2)

22836.4

39

(-1)2

2642.4

74

(-2)

22807.5

25

(6)

22613.5

59

(4)

22779.73

4

(5)

22585.7

66

(2)

14.5

22859.7

31

(-4)

22664

.887

(-4)

22825.7

12

(2)2

2630.8

60

(-6)

22794.7

01

(1)

22599.8

56

(-0)

22764.79

9

(1)

22569.9

55

(1)

15.5

22849.3

55

(-2)

22654

.071

(1)

22813.3

18

(-0)2

2618.0

27

(-3)

22780.1

69

(-

1)

22584.8

83

(0)

22748.25

9

(1)

22552.9

70

(-0)

16.5

22839.1

01

(-2)

22642

.824

(-2)

22800.9

62

(9)2

2604.6

74

(-3)

22765.7

25

(-

0)

22569.4

50

(2)

22731.69

8

(-2)

22535.5

23

(99)

17.5

22826.9

84

22630

.211

(3)

22786.8

14

(-2)2

2590.0

37

(-3)

22749.4

66

(3)

22552.6

88

(1)

22713.42

5

(2)

22516.6

46

(-1)

18.5

22815.0

82

(-6)

22617

.220

(2)

22772.8

11

(-3)2

2574.9

44

22733.3

87

(-

1)

22535.4

28

(-90)

22695.24

0

(2)

22497.3

65

(-3)

19.5

22801.2

24

(-0)

22602

.797

(-2)

22756.9

32

2

2558.5

03

(-3)

22715.3

97

(3)

22516.9

70

(2)

22675.22

5

(-1)

22476.7

98

(-3)

20.5

22787.6

79

(-4)

22588

.063

(-1)

22741.2

91

(-1)2

2541.6

71

(-2)

22697.6

84

(-

2)

22498.0

66

(-1)

22655.41

1

(-1)

22455.7

92

(-0)

21.5

22772.0

72

(-1)

22571

.844

(1)

22723.6

62

(-1)2

2523.4

32

(-1)

22677.9

59

(1)

22477.7

30

(2)

22633.60

0(-65)

22433.4

35

(-0)

22.5

22756.9

15

(33)

22555

.342(-21)

22706.3

82

(1)2

2504.8

60

(-3)

22658.6

15

(2)

22457.0

95

(1)

22612.22

1

(-0)

22410.7

03

(0)

23.5

22739.5

31

(6)

22537

.342

(2)

22687.0

05

(0)2

2484.8

19

(-2)

22637.1

51

(1)

22434.9

65

(-1)

22588.73

8

(-2)

22386.5

56

(1)

24.5

22722.6

80

(2)

22519

.114

(-1)

22668.0

80

(2)2

2464.5

13

(-2)

22616.1

65

(-

1)

22412.6

03

22565.66

6

(-2)

22362.1

04

(3)

25.5

22703.5

74

(3)

22499

.288

(-0)

22646.9

51

(-3)2

2442.6

67

(-4)

22592.9

70

(2)

22388.6

85

(0)

22540.44

6

(-2)

22336.1

63

(-2)

26.5

22685.0

66

(-1)

22479

.320

(-1)

22626.3

77

(-2)2

2420.6

26

(-6)

22570.3

34

(-

6)

22364.5

94

(0)

22515.73

9

(1)

22309.9

91

(-2)

27.5

22664.2

10

(2)

22457

.689

(2)

22603.5

04

(-1)2

2396.9

85

(1)

22545.4

03

(-

3)

22338.8

86

(0)

22488.78

7

(-2)

22282.2

86

(18)


7/16


30.5

22599.5

90

(1)

22389

.087

(2)

22532.7

72

(1)2

2322.2

74

(7)

22468.5

41

(8)

22258.0

30

(-1)

22405.77

3

(1)

22195.2

69

(-1)

31.5

22575.2

03(-19)

22363

.837

(0)

22506.4

04

(11)2

2295.0

05

(-2)

22440.1

26

(-

1)

22228.7

43

(1)

22375.35

1

(-2)

22163.9

74

(7)

32.5

22551.7

09

(-2)

22338

.648

(3)

22480.8

57

(5)2

2267.7

93

(7)

22412.5

69

(2

4)

22199.4

75

(-4)

22345.72

7

(-0)

22132.6

59

(-2)

33.5

22525.5

91

(5)

22311

.592

(7)

22452.7

20

(-0)2

2238.7

27

(8)

22382.3

93

(-

8)

22168.3

95

(-4)

22313.56

9

(-3)

22099.5

68

(-2)

34.5

22500.4

01

(5)

22284

.656

(2)

22425.5

20

(4)2

2209.7

76

(1)

22353.1

56

(-

4)

22137.4

16

(-2)

22282.30

1

22066.5

67

(8)

35.5

22472.4

97(-17)

22255

.784

(1)

22395.6

29

(0)2

2178.9

07

(9)

22321.2

68

(-

9)

22104.5

43

(-2)

22248.40

7

(-3)

22031.6

86

(7)

36.5

22445.6

28(-11)

22227

.115

(2)

22366.7

60

(3)2

2148.2

44

(13)

22290.3

64

(-

8)

22071.8

43

(-4)

22215.49

1

(-1)

21996.9

96

(29)

37.5

22415.9

82(-13)

22196

.429

(2)

22335.1

20

(8)2

2115.5

67

(24)

22256.7

42

(-

8)

22037.1

81

(-1)

22179.86

2

(-3)

21960.2

96

(-1)

38.5

22387.4

30

(-1)

22166

.029

(9)

22304.5

76

(7)2

2083.1

58

(1)

22224.1

69

(-10)

22002.7

67

(-1)

22145.29

7

(-0)

21923.8

84

(-2)

39.5

22356.0

20

(-5)

22133

.512

(-5)

22271.1

68

(3)2

2048.6

75

(17)

22188.8

10

(-

6)

21966.3

07

(-2)

22107.93

4

(1)

21885.4

42

(15)

40.5

22325.7

44(-22)

22101

.373

(-1)

22238.9

56

(11)2

2014.5

63

(10)

22154.5

64

(-10)

21930.1

76

(-6)

22071.71

3

(1)

21847.3

30

(10)

41.5

22292.5

63(-31)

22067

.045

(-9)

22203.7

88

(8)2

1978.2

53

(13)

22117.4

70

21891.9

23

(-6)

22032.61

0

(0)

21807.0

69

42.5

22033

.172

(-1)

22169.8

80

(-1)2

1942.4

19

22081.5

56

(3)

21854.0

89

(-1)

21994.73

2

(-0)

21767.2

70

43.5

21996

.996(-36)

22132.9

50

(-3)2

1904.2

86

(-3)

22042.7

18

(1

2)

21814.0

39

(-3)

21953.89

7

(5)

21725.2

49

(21)

44.5

21961

.420

(3)

22097.3

63

(-7)2

1866.7

43(-10)

21774.4

90

(-2)

21914.36

3

(8)

45.5

21923

.432(-22)

22058.6

76

(0)

21732.6

49

(1)

21871.78

1

(6)

46.5

21886

.099

(-3)

22021.4

00

(-3)

21691.3

88

(-2)

21830.57

7

(2)

47.5

21846

.282(-31)

21980.9

48

(5)

21647.7

42

(-4)

21786.26

1

(6)

48.5

21807

.169(-57)

21941.9

68

(-8)

21604.7

78

(-4)

21743.39

4

(7)

49.5

21765

.560(-50)

21559.3

28

(-12)

21697.32

6

(-0)

50.5

21514.6

72

(3)

21652.79

3

(3)

51.5

21467.4

29

(4)

21604.96

9(-17)

52.5

21558.78

2

(7)

53.5

21509.22

8

(0)

54.5

21461.33

9

(-1)

0

9band

1.5

2

4293.0

00

(-0)

2.5

24492.6

38

(-5)

24482.7

21

(3)2

4291.9

47

(1)

24478.4

09

(8)

24280.9

28

(10)

3.5

24492.4

50

(-3)

24480.7

38

2

4289.8

63

(2)

24473.8

54

(-

2)

24465.68

1(-17)

24274.8

10(-11)

4.5

24491.7

42

(14)

24300

.556

(-6)

24478.0

39

(-1)2

4286.8

74

24468.7

98

(-

0)

24458.87

4

24267.7

13

(5)

5.5

24489.7

77

(-4)

24298

.453

(3)

24474.1

91

(9)2

4282.8

52

(-0)

24462.6

10

(-

1)

24271.2

89

(9)

24450.90

5

(10)

24259.5

71

(6)

6.5

24487.3

96

(5)

24295

.648

(2)

24469.7

46

(4)2

4277.9

86(-10)

24455.9

53

(-

4)

24264.2

07

(-4)

24442.28

9

(20)

24250.5

23

(-1)

7.5

24483.6

50

(-2)

24291

.686

(3)

24464.0

44

(3)2

4272.0

74

(2)

24448.0

03

(-11)

24256.0

75

(30)

24432.42

5

(8)

24240.4

44

(-4)

8.5

24479.5

55(-21)

24287

.067

(1)

24457.8

67(-10)2

4265.3

83

(15)

24439.7

04

(4)

24247.1

90

24422.05

3

(3)

24229.5

39

(-2)

9.5

24474.0

29

(-1)

24281

.238

(-0)

24450.3

46

(1)2

4257.5

47

(-6)

24429.9

65

(-

4)

24237.1

73

(-4)

24410.35

6

(-2)

24217.5

63

(-3)

10.5

24468.2

52

(-4)

24274

.810

(8)

24442.4

61

(-5)2

4249.0

12

(0)

24419.9

69

(-

2)

24226.4

59

(-57)

24398.27

1

(-2)

24204.8

23

(5)

11.5

24460.8

99

(1)

24267

.101

(-1)

24433.1

08

(1)2

4239.3

10

(-0)

24408.4

45

(5)

24214.6

45

(2)

24384.75

4

(0)

24190.9

58

(0)

12.5

24453.4

17

(0)

24258

.838

(-2)

24423.5

15

(-0)2

4228.9

36

(-2)

24396.7

44

(-

3)

24202.1

75

(5)

24370.95

6

(-1)

24176.3

94

(15)

13.5

24444.2

39

(-4)

24249

.269

(5)

24412.3

30

(-1)2

4217.3

59

(7)

24383.4

10

(1)

24188.4

32

(0)

24355.61

9

(1)

24160.6

42

(2)

14.5

24435.0

50

(-0)

24239

.181

(5)

24401.0

21

(-4)2

4205.1

46

(-6)

24370.0

16

(1)

24174.1

43

(2)

24340.11

3

(-0)

24144.2

38

(-1)

15.5

24424.0

62

(6)

24227

.721

(-1)

24388.0

12

(-4)2

4191.6

73(-10)

24354.8

71

(3)

24158.5

37

(1)

24322.95

8

(2)

24126.6

24

(1)

16.5

24413.1

41

(-6)

24215

.805

(-2)

24374.9

98

(1)2

4177.6

54

(-4)

24339.7

72

(3)

24142.4

28

(-1)

24305.74

5

(1)

24108.4

03

(-1)

17.5

24400.3

41

(10)

24202

.474

(0)

24360.1

62

(-1)2

4162.3

04

(-2)

24322.8

22

(1

1)

24124.9

54

(1)

24286.79

4

(24)

24088.9

14

(1)

18.5

24387.7

03

(1)

24188

.729

(-2)

24345.4

29

(1)2

4146.4

57

(-0)

24306.0

03

(1)

24107.0

30

(-0)

24267.84

8

(-3)

24068.8

86

(6)

19.5

24373.0

52

(-9)

24173

.517

(2)

24328.7

66

(-3)2

4129.2

16

(-6)

24287.2

42

(1

2)

24087.6

84

(1)

24247.07

9

(17)

24047.5

17

(-1)

20.5

24358.7

08

(3)

24157

.941

(-4)

24312.3

12

(-2)2

4111.5

49

(-4)

24268.7

17

(9)

24067.9

44

(4)

24226.43

4

24025.6

72

(-2)

21.5

24342.2

42

(3)

24140

.849

(3)

24293.8

28

(-1)2

4092.4

33

(-3)

24248.1

26

(3)

24046.7

31

(0)

24203.83

0

(-1)

24002.4

37

(-1)

2 2 5

2 4 3 2 6 1

5 4

( 1 )

2 4 1 2 3

4 4 8

( 1 )

2 4 2 7 5 6

4 6

( 6 ) 2

4 0 7 2 9

4 9

( 0 )

2 4 2 2 7 8

8 4

(

0 )

2 4 0 2 5 1

8 0

( 1 )

2 4 1 8 1 4 9

4

( 1 )

2 3 9 7 8 7

4 9 ( 4 0 )


8/16


Table1(continued)

J

R11

R12

R21

R22

P11

P12

P21

P22

0

19band

23.5

24307.8

66

(7)

24104

.466

(-0)

24255.3

35

(-5)2

4051.9

42

(-4)

24205.5

01

(1

6)

24002.0

92

(0)

24157.07

5

(1)

23953.7

41

(59)

24.5

24290.0

43

(5)

24085

.243

(-1)

24235.4

36

(-1)2

4030.6

39

(-4)

24183.5

29

(5)

23978.7

56

(26)

24133.02

0

(-3)

23928.2

29

(-1)

25.5

24269.9

31

(18)

24064

.375

(2)

24213.2

95

(-1)2

4007.7

55

(0)

24159.3

15

(5)

23953.7

41

(-29)

24106.78

6

(-5)

23901.2

47

(-3)

26.5

24250.3

50

(-3)

24043

.326

(0)

24191.6

73

(8)2

3984.6

40

(2)

24135.6

21

(-

5)

23928.5

93

(-6)

24081.02

4

(-2)

23893.9

99

(1)

27.5

24228.3

96

(-1)

24020

.571

(4)

24167.6

93

(-1)2

3959.8

58

(-5)

24109.5

92

(-

4)

23901.7

67

(1)

24052.97

7

(-1)

23845.1

48

(0)

28.5

24207.0

85

(-6)

23997

.695

(-1)

24144.3

30

(-0)2

3934.9

31

(-4)

24084.1

83

(-

0)

23874.7

85

(-3)

24025.49

2

(-3)

23816.0

95

(-5)

29.5

24183.2

93

(-8)

23973

.051

(4)

24118.5

27

(-0)2

3908.2

71

(-2)

24056.3

36

(0)

23846.0

83

(2)

23995.63

0

(-2)

23785.3

80

(2)

30.5

24160.2

44

(-2)

23948

.352

(-1)

24093.4

27

(-0)2

3881.5

36

(1)

24029.1

95

(5)

23817.2

96

(-2)

23966.42

2

(-8)

23754.5

41

(4)

31.5

24134.6

21

(1)

23921

.816

(4)

24065.7

93

(2)2

3852.9

85

(1)

23999.5

31

(6)

23786.7

20

(2)

23934.74

5

(-6)

23721.9

48

(5)

32.5

24109.8

04

(-5)

23895

.296

(-1)

24038.9

49

(-1)2

3824.4

44

(6)

23970.6

43

(0)

23756.1

33

(2)

23903.82

7

(2)

23689.3

08

(-5)

33.5

24082.3

40

(-6)

23866

.870

(7)

24009.4

81

(1)2

3794.0

06

(10)

23939.1

51

(-

9)

23723.6

76

(-1)

23870.33

0

(-1)

23654.8

48

(0)

34.5

24055.8

00

(26)

23838

.527

(2)

23980.8

96

(2)2

3763.6

53

(8)

23908.5

35

(-

2)

23691.2

89

23837.67

6

(-3)

23620.4

28

(-2)

35.5

24026.4

57(-14)

23808

.198

(3)

23949.5

86

(0)2

3731.3

30

(19)

23875.2

34

(-

0)

23656.9

61

(2)

23802.36

6

(-2)

23584.0

93

(1)

36.5

23998.1

38

(5)

23778

.039

(1)

23919.2

57

(5)2

3699.1

78

(22)

23842.8

70

(3)

23622.7

69

(-3)

23767.98

7

(0)

23547.8

96

(4)

37.5

23966.9

44(-44)

23745

.817

(6)

23886.1

03

(-2)

23807.7

19

(-24)

23586.5

69

(3)

23730.85

5

(-4)

38.5

23936.8

73

(-5)

23713

.838

(4)

23854.0

18

(1)

23550.5

72

(-10)

23694.74

4

(-1)

39.5

23679

.706

(-1)

23819.0

37

(8)

23512.5

00

(1)

23655.79

0

(-8)

40.5

23645

.905

(-6)

23785.1

91

(9)

23474.7

17

(-2)

23617.95

0

(1)

41.5

23609

.875

(-7)

23748.3

55

(2)

23434.7

56

(-1)

23577.17

7

(-6)

42.5

23574

.269

(2)

23712.7

42

(-1)

23395.1

92

(8)

23537.59

5

(1)

43.5

23536

.329

(-4)

23674.0

73

(4)

23353.3

45

(3)

23495.01

3

(5)

44.5

23498

.892

(-8)

23636.6

97

(6)

23311.9

80

(4)

23453.67

0

(-6)

45.5

23459

.049(-11)

23596.1

65

(-5)

23268.2

50

(-4)

23409.27

7

(8)

46.5

23419

.809

(0)

23557.0

18

(-1)

23225.1

01

(4)

23366.18

7

(-3)

47.5

23378

.046(-12)

23514.6

50

(2)

23179.4

92

(0)

23319.95

8

(-2)

48.5

23336

.969(-21)

23473.7

09(-11)

23275.14

2

(10)

49.5

23227.08

4

(6)

50.5

23180.49

9

(3)

0

8band

0.5

26102.6

45

(-6)

26095.9

40

1.5

26104.0

47

26095.8

88

26094.3

72

(1

0)

2.5

26104.7

93(-28)

26094.8

97

26090.5

91

(1

2)

25892.1

90(-40)

3.5

26104.4

63(-30)

25912

.747

26092.7

84

(5)2

5901.0

32

(0)

26085.8

74

(-23)

25894.1

50

26077.72

8(-10)

25886.0

26

(35)

4.5

26103.5

92

(2)

25911

.550

26089.9

03

2

5897.8

65

(2)

26080.6

71

(9)

25888.6

21

26070.73

7

25878.6

84(-13)

5.5

26101.4

34

(7)

25909

.211

(-5)

26085.8

29

2

5893.6

09

(-9)

26074.2

65

(8)

25882.0

44

(-3)

26062.54

2

25870.3

43

(11)

6.5

26098.7

98

(16)

25906

.150

(2)

26081.1

34

(2)2

5888.4

75(-23)

26067.3

49

(2)

25874.7

12

(-2)

26053.63

3

(26)

25861.0

37

(11)

7.5

26094.7

45

(-2)

25901

.909

(28)

26075.1

40

(4)2

5882.2

60(-11)

26059.1

24

(1

5)

25866.2

46

(2)

26043.51

8

(6)

25850.6

53

(6)

8.5

26090.3

32

(-3)

25896

.911(-10)

26068.6

39

(2)2

5875.2

28

(6)

26050.4

54

(-

5)

25857.0

37

(-8)

26032.81

6

(6)

25839.4

15

(19)

9.5

26084.4

15

(-1)

25890

.709

(1)

26060.7

41

(11)2

5866.9

59(-63)

26040.3

57

(2)

25846.6

35

(-12)

26020.74

4

25827.0

33

(-3)

10.5

26078.2

58

(31)

25883

.843

(-2)

26052.4

35

(-2)2

5858.0

54

(-2)

26029.9

51

(9)

25835.5

60

26008.24

3

(-0)

25813.8

65

(3)

11.5

26070.4

25

(9)

25875

.689

(10)

26042.6

33

(9)2

5847.8

78(-10)

26017.9

66

(8)

25823.2

34

(12)

25994.27

4

(2)

25799.5

31

(-5)

12.5

26062.4

49

(8)

25866

.962

(51)

26032.5

38

(-1)2

5836.9

49(-60)

26005.7

63

(-

8)

25810.2

42

(1)

25979.99

0

(8)

25784.4

52

(0)


9/16


15.5

26031.3

72

(8)

25834

.032

(1)

25995.3

16

(-9)2

5797.9

85

(-7)

25962.1

81

(5)

25764.8

50

(6)

25930.26

6

(2)

25732.9

32

16.5

26019.8

16

(13)

25821

.450

(4)

25981.6

56

(3)2

5783.2

96

25946.4

27

(2)

25748.0

68

(-0)

25912.40

0

(0)

25714.0

43

17.5

26006.2

88

(-8)

25807

.404

(-0)

25966.1

27

(-1)2

5767.2

33

(-4)

25928.7

76

(-

0)

25729.8

83

(-1)

25892.73

9

(3)

25693.8

47

(3)

18.5

25992.9

36

(2)

25792

.907

(-3)

25950.6

65

(3)2

5750.6

40

(3)

25911.2

33

(-

2)

25711.2

16

(6)

25873.08

5

(1)

25673.0

54

(-6)

19.5

25977.5

28

(4)

25776

.904

(-1)

25933.2

37

(5)2

5732.6

25

(13)

25891.7

01

(7)

25691.0

70

(-5)

25851.52

6

(-1)

25650.9

07

20.5

25962.3

55

(-2)

25760

.504

(2)

25915.9

50(-15)2

5714.0

85(-25)

25872.3

60

(1)

25670.5

03

(-1)

25830.09

0

(4)

25628.2

33

(2)

21.5

25945.0

57

(15)

25742

.531

(-2)

25896.6

28

(-3)2

5694.1

28

(6)

25850.9

34

(8)

25648.4

10

(-7)

25806.63

3

(-1)

25604.1

25

(1)

22.5

25928.0

63

(-1)

25724

.226

(5)

25877.5

52(-11)2

5673.7

16

(-4)

25829.7

85

(-

9)

25625.9

56

(4)

25783.39

4

(-9)

25579.5

59

(-1)

23.5

25908.8

29(-12)

25704

.287

(2)

25856.3

14

(-7)2

5651.7

53(-13)

25806.4

66

(-

1)

25601.9

15

(3)

25758.05

0

(-6)

25553.5

00

(-2)

24.5

25890.0

52

(4)

25684

.073

(6)

25835.4

69

(22)2

5629.4

77

(11)

25783.5

35

25577.5

50

(-3)

25732.99

2(-42)

25527.0

51

(-1)

25.5

25868.9

21

(5)

25662

.162

(-2)

25812.3

01

(3)2

5605.5

45

(-1)

25758.3

08

(-

4)

25551.5

59

(-2)

25705.78

6

(-7)

25499.0

32

(-9)

26.5

25848.3

14

(12)

25640

.037

(-0)

25789.6

17

(2)2

5581.3

72

(22)

25733.5

59

(-16)

25525.3

19

(8)

25678.96

7

(-8)

25470.7

10

(1)

27.5

25825.2

97

(39)

25616

.169

(4)

25764.5

53

(-2)2

5555.4

62

25706.4

48

(-

9)

25497.3

59

(-5)

25649.82

9(-10)

25440.7

42

(-4)

28.5

25802.7

73(-46)

25592

.136

(4)

25740.0

48(-11)2

5529.3

77

(5)

25679.9

11

25469.2

25

(1)

25621.21

7

(-7)

25410.5

30

(-7)

29.5

25777.8

67

(6)

25566

.292

(2)

25713.0

90

(3)2

5501.5

20

(5)

25650.8

99

(3)

25439.3

25

(2)

25590.18

6

(-6)

25378.6

28

(8)

30.5

25753.5

53(-39)

25540

.361

(10)

25686.7

67

(-7)2

5473.5

48

(15)

25622.5

07

(-29)

25409.3

00

(5)

25559.76

6(-10)

25346.5

25(-10)

31.5

25726.7

18

25512

.539

(3)

25657.8

86

(-3)2

5443.6

38(-69)

25591.6

05

(-18)

25377.4

47

(6)

25526.84

7

(2)

25312.6

68

(1)

32.5

25700.6

26

(14)

25484

.707

(15)

25629.7

55

(1)2

5413.8

22(-13)

25561.4

57

(1

0)

25345.5

34

(7)

25494.62

8

(-1)

25278.7

31

(22)

33.5

25671.8

15

(-6)

25454

.894

(-9)

25598.9

49

(-5)2

5382.0

26(-10)

25528.6

27

(-

7)

25311.7

21

(4)

25459.79

5(-10)

25242.8

82

(-6)

34.5

25643.8

25(-48)

25425

.169

(14)

25568.9

89

(-5)2

5350.2

36(-39)

25496.6

59

(2

2)

25277.9

09

(-10)

25425.77

8

(-0)

25207.0

37(-24)

35.5

25613.1

34(-27)

25393

.395

(6)

25536.2

83

(7)2

5316.5

15

(11)

25461.9

27

(3)

25242.1

40

(-13)

25389.06

0

(3)

25169.2

97

(10)

36.5

25583.3

66

25361

.782

(44)

25504.4

90

(5)2

5282.8

54

(-3)

25428.1

52

(5

2)

25206.4

86

(13)

25353.22

1

(0)

25131.6

56

(64)

37.5

25550.7

41

(10)

25327

.995

25469.8

71

(22)2

5247.0

80(-31)

25168.7

51

(2)

25314.60

0

(-1)

25091.8

71

(6)

38.5

25294

.416(-25)

25436.2

17

(-5)2

5211.6

01

(23)

25131.1

95

(6)

25276.95

5

(5)

25052.3

07

39.5

25258

.723

(7)

25399.6

50(-14)2

5173.8

73

(17)

25091.5

05

(-3)

25236.42

6

(-7)

25010.6

25

40.5

25223

.270

(11)

25364.1

82(-15)2

5136.4

39

25052.0

68

25196.96

8

(5)

41.5

25185

.554

(2)

25325.7

16

2

5096.7

85

(47)

25010.4

20

(-7)

25154.52

6(-20)

42.5

25148

.106(-87)

25288.4

33

(28)

24969.1

10

(-0)

25113.25

6

(0)

43.5

25108

.482(-19)

25247.9

55(-43)

24925.5

32

(22)

25068.93

4

(-3)

44.5

25069

.253

(13)

25208.8

37

24882.3

38

(22)

25025.81

4

(-8)

45.5

25027

.526(-34)

25166.5

10

(8)

24836.7

32

(-23)

24979.59

7

(-4)

46.5

25125.4

87

(1)

24791.7

15

(30)

24934.65

5

(-3)

47.5

24744.1

64

(3)

24886.53

4

(0)

48.5

24697.2

21

(4)

24839.74

7(-11)

49.5

24647.7

01

(-27)

24789.74

0

(12)

50.5

24598.8

98

(-14)

24741.11

6

51.5

24689.18

1

0

7band

1.5

27748.8

75

(-7)

2

7548.4

39

(15)

27739.1

33

(-65)

2.5

27749.5

46(-13)

27557

.184

(92)

2

7547.1

62

(-6)

27735.3

01

(-16)

27536.1

60

(20)

3.5

27749.0

94

(1)

27556

.455(-60)

27737.3

98

(20)2

7544.8

00

27730.4

96

27722.37

2

(34)

27529.8

06

(46)

4.5

27748.0

35

(21)

27555

.137

27734.3

13(-14)2

7541.4

29(-20)

27725.0

88

(2)

27715.23

6

(75)

27522.2

85

(2)

5.5

27745.6

33

(-1)

27552

.580

(-1)

27730.0

50

(13)2

7536.9

65(-19)

27718.4

73

(9)

27525.4

61

(50)

27706.80

6

(57)

27513.7

23

(27)

6.5

27742.7

36

(2)

27549

.249

(-2)

27725.0

85

2

7531.6

05

(4)

27711.2

97

(-

3)

27517.8

04

(-13)

27697.62

3

(11)

27504.1

35

(6)

7.5

27738.3

98

(-6)

27544

.714

(33)

27718.7

93

(-0)2

7525.0

56(-15)

27702.7

47

(-20)

27509.0

99

(55)

27687.11

1(-58)

27493.4

63

(17)

8.5

27733.6

70

(10)

27539

.368(-10)

27712.0

18

(56)2

7517.6

87

(7)

27693.7

82

(-

2)

27499.5

37

(35)

27676.13

3

(-1)

27481.8

61

(9)

9.5

27727.3

63

(-3)

27532

.768(-13)

27703.6

87

(7)2

7509.0

99

(3)

27683.2

98

(-

7)

27488.7

57

(36)

27663.69

2

(2)

27469.1

27

(18)

1 0 5

2 7 7 2 0 7

5 9

( 7 )

2 5 5 2 5

5 3 8

( 4 3 )

2 7 6 9 4 9

6 2 ( 1 5 ) 2

7 4 9 9 7

0 1

( 6 )

2 7 6 7 2 4

8 4

( 3 )

2 7 4 7 7 2

2 1

( 1 0 )

2 7 6 5 0 7 7

9

( 4 )

2 7 4 5 5 5

0 7

( 6 )


10/16


Table1(continued)

J

R11

R12

R21

R22

P11

P12

P21

P22

0

7band(continued

)

11.5

27712.5

04

(3)

27516

.866

(0)

27684.7

26

(16)2

7489.0

71

(-4)

27660.0

52

(8)

27464.3

62

(-46)

27636.35

8

(1)

27440.6

92(-30)

12.5

27704.0

24(-13)

27507

.590

(-4)

27674.1

61

(26)2

7477.7

01

(10)

27647.3

62

(-

4)

27450.9

24

(1)

27621.57

8

(1)

27425.1

32

(-2)

13.5

27693.7

82(-16)

27486

.917

(-9)

27661.8

77

(-9)2

7465.0

19

(5)

27632.9

70

(5)

27436.0

91

(-2)

27605.16

9

(-4)

27408.2

95

(-7)

14.5

27683.4

56

(-9)

27485

.657

(-9)

27649.4

33

(-6)2

7451.6

30(-11)

27618.4

19

(-10)

27420.6

24

(-6)

27588.52

7

27390.7

28

(-0)

15.5

27671.2

51

(3)

27472

.952

(-6)

27635.2

13

(5)2

7436.9

22

(3)

27602.0

67

(7)

27403.7

87

(16)

27570.15

3

(6)

27371.8

33(-25)

16.5

27659.0

42

(3)

27459

.697(-11)

27620.8

81

(-8)2

7421.5

58

(-0)

27585.6

71

(1

0)

27386.3

37

(8)

27551.65

0

(14)

27352.3

06

(1)

17.5

27644.8

39

(-3)

27444

.955

(-4)

27604.6

67

(-7)2

7404.7

86

(-5)

27567.3

19

(-

3)

27367.4

39

(1)

27531.28

3

(1)

27331.4

03

(4)

18.5

27630.7

56

(2)

27429

.715

(-4)

27588.4

81

2

7387.4

42

(-3)

27549.0

56

(2)

27348.0

12

(-7)

27510.91

6

(12)

27309.8

66

(-3)

19.5

27614.5

76

(1)

27412

.916(-10)

27570.2

86

(3)2

7368.6

31

(-3)

27528.7

44

(-

0)

27327.0

97

(2)

27488.59

3

(16)

27286.9

30

(2)

20.5

27598.5

93

(-9)

27395

.695

(-2)

27552.2

00(-11)2

7349.3

04

(-1)

27508.6

03

(-

1)

27305.7

02

(2)

27466.33

4

(3)

27263.4

33

(7)

21.5

27580.4

25(-13)

27376

.855

(-3)

27532.0

35

(8)2

7328.4

40

(-8)

27486.2

90

(-32)

27282.6

95

(-47)

27442.02

7

(2)

27238.4

51

(1)

22.5

27562.5

95

(20)

27357

.621(-20)

27512.0

78

(4)2

7307.1

48

(9)

27464.3

62

(5

6)

27259.3

83

(12)

27417.91

9

(4)

27212.9

59(-21)

23.5

27542.4

21

(-4)

27336

.746

(-8)

27489.9

06

(1)2

7284.2

34

27440.0

59

(8)

27234.3

79

(-1)

27391.65

3

(13)

27185.9

55(-15)

24.5

27522.6

69

(2)

27315

.559

(11)

27468.0

74

(7)2

7260.9

65

(18)

27416.1

57

(3)

27209.0

40

(4)

27365.65

7

(4)

27158.5

22(-12)

25.5

27500.5

49

(21)

27292

.621

(8)

27443.9

10

(0)2

7235.9

66(-28)

27389.9

24

(-

1)

27182.0

11

(2)

27337.40

5

(-0)

27129.5

20

(30)

26.5

27478.8

96

(26)

27269

.414

(-5)

27420.1

92

(10)2

7210.7

43

(11)

27364.1

07

(-37)

27154.6

93

(0)

27309.53

8

(-5)

27100.1

26

(34)

27.5

27454.7

18(-22)

27244

.420(-13)

27394.0

40

(3)2

7183.7

39

(9)

27335.9

31

(-

8)

27125.6

26

(-6)

27279.31

6

(-5)

27069.0

09

(-5)

28.5

27431.1

71

(-6)

27219

.255

(1)

27368.4

12

(-5)2

7156.4

84

(-9)

27308.2

71

(2)

27096.3

45

(-0)

27249.57

1(-10)

27037.6

47(-11)

29.5

27405.0

68

(14)

27192

.208

(-7)

27340.2

77

(-2)2

7127.4

23(-18)

27278.1

18

(3

0)

27065.2

50

(1)

27217.38

5

(1)

27004.5

60

(14)

30.5

27379.5

57(-23)

27165

.060

(10)

27312.7

63

(0)2

7098.3

27

(95)

27248.4

70

(-55)

27033.9

96

(1)

27185.77

5

(10)

26971.2

64

(30)

31.5

27351.4

44(-18)

27135

.964

(7)

27282.6

95

(62)2

7067.1

28

27216.3

62

(-

5)

27000.8

68

(6)

27151.60

1

(8)

26936.0

83

(-5)

32.5

27324.1

21

(49)

27106

.793(-13)

27253.2

24

(11)2

7035.9

23(-26)

27184.9

22

(1

7)

26967.6

38

(-4)

27118.08

5

(-3)

26900.8

48

(24)

33.5

27293.9

95

(40)

27075

.605(-52)

27221.0

91

(1)2

7002.7

94

(3)

27150.7

54

(-16)

26932.4

85

(14)

27081.93

6

(-5)

26863.6

92

(50)

34.5

27264.5

81(-62)

27044

.570

(47)

27189.7

78

(15)2

6969.6

07(-37)

27117.3

77

(-29)

26897.2

90

(3)

27046.53

2(-17)

26826.4

28

35.5

27232.5

11(-17)

27011

.309

(-6)

27155.6

50

(7)2

6934.4

51

(20)

27081.2

86

(-

5)

26860.0

11

(-68)

27008.42

2

(-3)

26787.2

12

36.5

27201.3

22

(35)

26978

.200

(2)

27122.4

09

(3)2

6899.3

35

(19)

27046.0

22

(1)

26822.9

32

26971.16

6

(25)

26748.0

52

37.5

26942

.889(-41)

27086.2

69(-18)2

6862.0

46

27007.9

27

(2)

26783.6

63

(-21)

26931.02

1(-20)

26706.8

47

(47)

38.5

26907

.829

27051.1

71

(38)2

6824.9

67

26970.8

30

(8

7)

26744.5

38

(-39)

26891.88

4

(22)

39.5

26870

.506

(8)

27013.0

38

(24)2

6785.6

16(-22)

26930.6

12

(-54)

26703.2

63

(-27)

26849.79

3

(10)

40.5

26833

.421

(5)

26975.9

50

(10)

26662.2

55

(31)

26808.69

6(-10)

41.5

26794

.020

26935.7

79(-38)

26764.64

7

42.5

26754

.955

26896.8

18

(1)

26721.65

2(-16)

43.5

26854.7

64

(74)

44.5

26813.7

55

(-4)

45.5

26769.6

31

(5)

0

6band

0.5

29425.0

82

(98)

1.5

29426.3

09

(45)

2.5

29426.8

41

29233

.601

(15)

29416.9

16

29412.6

48

(4

9)

29212.6

32

3.5

29426.3

09

(68)

29232

.867

29414.5

44

(17)

29407.6

44

29206.0

25(-86)

4.5

29425.0

82

(99)

29231

.281(-28)

29411.2

59(-36)2

9217.6

54

(33)

29402.0

67

(1

3)

29392.15

7

(27)

29198.3

75(-81)

5.5

29422.3

89

(-3)

29228

.532

29406.7

95

2

9212.9

25

(-9)

29395.2

16

(-

6)

29201.4

13

(50)

29383.50

8

29189.5

83(-65)

( )

( )

( )

( )

(

)

( )

( )


11/16


7.5

29414.6

14

(-2)

29220

.071

29394.9

74(-31)2

9200.4

60

29378.9

40

(-39)

29184.4

33

29363.38

1

29168.8

18(-17)

8.5

29409.5

29

(-5)

29214

.498

(73)

29387.8

12(-24)2

9192.7

60

(33)

29369.6

53

(-

5)

29174.5

50

29351.99

2(-16)

29156.9

00

9.5

29402.8

54(-22)

29207

.528

(79)

29379.1

54(-36)2

9183.7

35(-28)

29358.8

17

(2)

29163.3

56

(-32)

29339.16

5(-39)

29143.7

68

(-9)

10.5

293

Documents

C.V.V. Prasad et al- Fourier transform emission spectroscopy of the second negative (A^2-Pi-u-X^2-Pi-g)system of the O2^+ ion