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Calhoun: The NPS Institutional Archive
Theses and Dissertations Thesis Collection
1951
The identification and investigation of the expansion
characteristics of clays by X-ray diffraction
Dearth, Keith H.
Troy, New York : Rensselaer Polytechnic Institute ;
ybrary
U. S. Naval Postgraduate School
Monterey, Caliloniia
THE IjjENTIFIChTION AUD Ii:]VESTlGi--TIOw
OF TJIE
EXPANSION CKaRaCTERISTj.CS OF CLrY^I
3Y. X-.RAY DIFFRACTION
Submitted to the Faculty of
Rensselaer Polytechnic Institute
in
Partial Fulfillment of the
requirements for the degree of
Master of Civil Engineering
by
KEITH K. DEARTH
and
RICHARD C. WILLIAMS
May 1951
ACKNOV/LEDGEMEN T S
The authors gratefully acknowledge the guidance and
encouragGment given them by Professor E. J. Kilcawley of
the Division of Soil Mechanics, Department of Civil Engin-
eering, Rensselaer Polytechnic Institute,
To Doctor Arthur A. Burr of the Department of Metal-
lurgy they wish to express their sincere appreciation for
his Valuable advice and assistance v;ithout v/hich this
the sis v/oul d hav o been impo s s ib 1 e
,
Acknowledgement is also made to Mr. Ralph E. Winslow,
Head of the Dopartmont of Architc; cture , for his skill in
the production of a sample extruding device.
An expression of gratitude is made to the following
for their services and advice:
Dr. Sydney Poss, ii.ssociate Professor of Colloid Science,
R. P. I.
Dr. W. E, Bradley - State G-eological Survey Division,
University of Illinois,
Dr. F. G. Nachod - Sterling-Winthrop Research Institute.
E. B. ''feed - Acting Head, Research and Geology Division,
U. S. Department of tlie Interior, Bureau of Reclamation.
S. V. Ballou, Colloid assistant, Cneiiistry Department,
R. P. I.
R. G. Starr, Chemistry Department, R. P. I.
\$(=.^0
TABLii: OF CONTENTS
Part Page
I Introduction 1
II Theor^r 4
III Apparatus 10
IV Procedure 13
V Results and Conclusions 29
VI RecornnGndations 33
VII Appendix 41
Dix fraction Data 42
Illustrations of Apparatus 81
Sai.iple Cor:iputa.tions 84
References , , . , 85
PART I
INTRODUCTION
-1-
INTRODUCTION
During the thirty-nine years since Laue discovered
that x-rays interact with crystalline materials to give
diffraction effects, x-ray diffraction has become an
exceedingly valuable tool to industry and research. The
chemist and physicist as well as the minerologist have
found, in x-ray diffraction, a powerful adjunct and often
a substitute for more costly and time consuming analyses.
The metallurgist recognizes x-ray crystal structure analy-
sis as the outstanding contribution of the science of
physics to the study of alloys. X-ray diffraction has
permitted the soil scientist to make some of his greatest
strides toward a more complete knowledge of soil make-up
and behavior.
In 1950, using x-ray diffraction, Hendricks and Fry
discovered that the clay materials of soil were crystal-
line. This was definitely confirmed in 1031 by Kelley,
Dore and Brown and these discoveries led directly to the
identification of specific substances establishing them to
be composed principally of given clay minerals^ ', Since
that time, investigators have used x-ray diffraction to
study the crystalline structure of the clay minerals, to
establish a system of their precise identification, to
study the hydration characteristics and behavior due to
the wetting of expanding lattice clays, and to study the
-2-
base exchange mechanism of clays,
Quantitative analysis by x-ray diffraction has been
put to extensive use in the field of chemistry and it is
believed that the same can be achieved in the soils field.
The principal objective of this thesis was the devel-
opment of a good TECHNIQUE for the x-ray diffraction of
clays such that the penetration and reflection of x-rays
were a maximum with a minimum ar-iount of exposure giving a
clear and complete diffraction pattern. This entailed:
(1) Arriving at an optimum clay particle size; (2) estab-
lishing a procedure whereby the clay sample, both dry and
then fully hydrated, was easily prepared for mounting in
the x-ray camera so as to have the proper shape, size and
consistency; (3) choosing the most advantageous x-ray
target material and the optimiim radiation line and series
of that material; (4) determining the proper x-ray photo-
graphic film and exposure time; and finally, (5) proper
interpretation of the resulting diffraction pattern so as
to determine the identification of the clay and study its
expansion characteristics due to the effects of homo-ionic
saturation and hydration.
Such research is not new as it has been done many
tines before, and numerous results have been published.
However, very little information has been published cover-
ing the actual procedures followed and what methods of
sample preparation were used. Practically no data is
offered in those published results which enable us to
-5-
detemiino such essontial information as particle size,
specimen size, ion content of clay, moisture content and
origin of clay. Without such information available, the
results are of no practical value.
With the above criticisms in mind, it was decided to
make it a subsequent objective of this thesis to establish
a definite procedure for the x-ray diffraction of clays
which can be readily followed and applied toward future
investigations of soils incorporating such possibilities
as identifying and measuring the components making up the
soil, determining the state of chemical combination of the
constituent elements, determining the nature of the ad-
sorbed ions, aiid obtaining an indication of the processes
involved in t}ie deposition, consolidation, and induration
of the soils.
PART II
TI-IEORY
-4-
11 crv.Tciillj 118 :..i^.ttoi" r^ Gi.'.p0 3-.^1 cf rxto.n/.' nr- "'.olC;Cul3S
-l.n,i'.}. "9 i^ffK 11 "I r:' .c:-i i. TTiar/.ior thc-.t tliey foiTi dr^f-.ni to f .-.:-:;..j :! os of
:ri.-:n(i .:-^i.na.i-T x- Tc:^-. ^ >' bo -'erLerted b\ t'ls.is pla^-^e:; Ir th
.
'?r-c £ of tne (;rys"oal, tho Bra^;g'3''"- \vGre ablo to rr-iduce ':..£<:,: ^
original -.TiatherLatically complex analysis of this I ntc:''action
between x-rays and crystalline matter to terms of .^r'^at sim-
plicity. In fi^ijre 1, two such planes A3 and CD rei-resent
one of the many families of planes found in a cryr^tal. Two
rays orrif and gnoph of tho defined x-ray boaiii arc showi to
bo partly roflectod from those pianos v/hon striking thorn
with an incident and reflected ani"^!© of Q, According to tho
laws of optics^^)^ these reflected rays must be in phase to
be observed as a reflection. Consequently, ray gnoph must bo
longer than ray omf by an integral value of the wave length
Pl • Inspection reveals that this path difference is tho
distance nop and that no = d sin ©, and op - d sin 9; thus
nop s 2d sin <^ s n -'^
, which is tho statom.ont of Bragg' s
law(3): "A given wave length will be reflected in a given
spectral order only when tho glancing angle takes a unique
value e".
.^
tvS
Figure 1, Reflection of x-ray"*-boam from planes in face of cr^^taL
-5-
Tho formation of i refloctcd bef-n l:. oo- i-i.it lojiocI by tho
GxistencG of equally spaced layers of particles, but not upon
the regular spacing of these particles within the layers.
Those sets of net planes which are densely populated
comrnonly occur as crystal faces and emit high intensities of
reflection whereas those net planes of sparse population do
not occur as face planes and emit low intensities of reflec-
tion,
A crystal is essentially a pattern. The atoms are
arran.^ed according to a plan, such that the same configura-
tion is repeated at regular intervals in all throe dimensions.
V/hen a pattern is three dimensional, as in a crystal, tho
array of points at which the pattern repeats is a "space-
lattice". 3y joining the points space can be divided into
a series of parallel- sided unit cells efich of which contains
a complete unit of pattern. The ivhole structure is formed by
stackin,^ unit cells side by side. The volume of each unit
Cell is the so.r:ie,
Tho axes of the unit coll are designated as a, b =and c
as shown in fi>zure 2^ '
ZH0' '
Ll
Figure 2. Unit Cell
The edges of the unit cell are termed "unit translations"
in the pattern,.
Tho various planes of a crystal are designated by their
intercepts (h, k, 1) on the reference axes a, b, c respective-
—o~
ly. 1 plf.nn .•^bich is •porponciicular t<^ :•''...': o->.'.-x:U: ;/r d p-^-rallol
to the a and b axos is aesir-natod as a (0 ^) p?i.ane.
Those points of the spaco-latticG at which the patterns
of a crystal repeat are occupied by atoms and are termed
"lattice particles or points". Any plane of a crystal which
is occupied by lattice points is known as a "crystal plane"
or "net plane", A crystal face is always parallel to a net
plane.
External crystal faces are parallel to the more densely
crowded net planes of the space lattice.
Spherical waves are created when x-rays, which are
electromagnetic waves, cause forced oscillations of the
planetary electrons of the atoms v;hich they traverse, the
electrons absorbing energy from the x-rays when moving away
from the nucleus and radiating energy in all directions when
moving tov/ard the nucleus. The dimensions of the space-lat-
tice are of the same order of magnitude as the wave lengths
of x-rays and this three-dimensional point system will pro-
duce very narrow pencils of rays only in those directions in
which these spherical waves are in phase. These reinforced
waves are the rays that produce the individual spots in x-ray
patterns (Laue, rotation, Weissen.berg, etc.) obtained from
single crystals. If the single crystal is replaced by a large
number of smaller crystals, that is, a powder, their statis-
tical orientation, unless preferred orientation effects result
owing to peculiar crystal shapes, then must produce a whole
series of such discrete pencils, so that as a result a contin-
uous diffraction cone is obtained. If this cone is now re-
corded on ?^ photo,'_;raphic fir-n placed o-...^;.--.:..dicula.r to the cone
axis, tho diffraction effect is obtained as a lino miich is in
the form of a ring, A pattern on which the diffraction rings
from all families of planes have been recorded is usually
rofcrrod to as a powder pattern and consists of a series of
concentric rings on a flat film, or axes of rings on a cylin-
drical strip of film,
A fixed space arrangement of atoms '.vith definite fixed
distances between them must always produce precisely the same
x-ray pattern, F'urthermore, if the same space arrangement
is retained but the distances between atom centers are
changed, the x-ray pattern will retain its same general appear-
ance but v/ill either expand or contract. On the other hand,
if the space arrangement is altered, the pattern is changed.
Consequently, x-ray diffraction patterns arc a sort of finger-
print of crystalline materials. 2ach individual substance
present in a mixture will produce its tinique diffraction
effects, so that the pattern derived from the mixture is a
composite of the patterns of all tho materials or compounds
in the mixture. Furthermore, the intensities of the lines
of tho individual patterns are a function of tho relative
amount of the material present in the mixture, so that the
method also has quantitative aspects.
The clay minerals offer a fascinating field of study
for x-ray analysis, the exploration of which has only been
coiTimonced, The typical minerals are micaceous in structure,
consisting of thin hexagonal flakes with perfect cleavage.
There can be little doubt that all are based upon the sheet
-3-
of linked totrahodral groups v/hich is characteristic of the
mica minerals.
The principal constituents of the lattices of the
various clay minerals are the unit cells of the silicon-
oxygen tetrahedron and the aluminum-hydroxyl octahedron
which arc bonded together by electrostatic forces and form
the tetrahedral silica sheet or chain and the Gibbsite sheet
rcspoctivoly.
X-ray diagrams of clays show two separate series of
linos (or bands), one due to the "two dimensional crystallites"
(indices h, k, 1), the other a single series of orders,
indexed (0 1), due to the intersheet separation. Only the
latter series changes in adsorption reactions, and from it
the (0 1) spacing, and thus the separation of the structural
sheets are readily deduced. In adsorptive reactions with
these minerals (particularly montmorillonite)
, molecules of
water and ions can penetrate between the structural sheets,
thus expanding the whole crystallite structure, a change
detectable by x-ray diffraction and thus enabling the study
of the expansion characteristics of the clay minerals.
The remarkable activity of montmorillonite in adsorption
is 210 doubt connected with a common peculiarity of its crys-
talline structure, which is such that regular (two-dimension-
ally crystalline) sheets are superposed without any regular-
ity (except for constant separation) and are held together
by relatively weak forces.
As for the application of x-ray diffraction for the
identification of clay minerals, the interpretation of the
-9-
data roquiroG th(; convorslon of the lines in th;j x-ray powdor
pattern to their corresponding interplanar distance so that
Hanawalt ' s ''^) method employing the card file of x-ray diffrac-
tion data can be used; or an extended series of standard
patterns which are used for direct comparison,.
PART III
APPARATUS
-10-
APPARATUS
SLSCTRODIkLYZBR . The electrodialyzer used was a
standard three- cell 3RADPIELD type operating with 110 volts
D.C. Each of the three cells is separated fror.i the other
by cellophane diaphrams which are impermeable to water but
highly permeable to ions. The diaphrams are mounted between
U-shaped rubber gaskets which in turn are backed by metal
plates. This entire arrangement is clamped together forming
a sandwich v^hich encloses tlie three separate cells. This
three- cell arrangement is conveniently mounted on a stand.
The two outer compartments are the cathode and anode while
the central cell contains the material which is to be
electrodialyzed. The cathode is a nickel screen and the
anode is a platinLun screen both of which are placed inside
the cells designated as the cathode and anode colls re-
spectively. A glass tube arrangement is inserted into the
cathode and anodo cells and tap water is run through it
continuously such that adequate cooling of the poles is
affected.
The sample, mixed with distilled water to form a sol,
is placed into the central cell. The outer cells are
filled with distilled wator which is continuously replaced
in the cathode cell from a source located above the equip-
ment, the water being fed by gravity flow and maintained
-11-
at a constant level within the cell by a simple overflow
arrangement. The anode is periodically replenished with
distilled water by manual draining and rofillinr*, only
periodic replacement of the distilled water being neces-
sary since the anion content of clays is slight compared
to the cation content.
This DRaDPIELD eloctrodialyzcr was maniofacturcd by
the Central Scientific Co. (Conco) and the wiring diagram
is as shown in Figure 3,
1^"mode
eloctrodialyzcr-*^—-j
'He atho do
110 V D.C,
300 ohm re si stance
\ L
Figure 3, Wiring diagram of the BRaDPIELD three- cellelectrodialyzer.
The theory of eloctrodialysis of clays will not be
attempted here as there are many fine references pertaining
to this, one of vhich is exceptionally good^^'.
Figure A (page 82, Appendix) is a photograph of the
assembly used for the eloctrodialysis of the Rock River,
Wyoming Bentonite,
APPARATUS FOR THE lOillC SATURATION OP HYDROG-EN BEN-
TONITE. This apparatus merely consisted of a 600 ml
beaker containing the hydrogen bentonite as received from
the electrodialyzer, o mechanical stirrer employing a glass
stirring rod, a 50 ml burette containing the appropriate
"12-
hydroxide compound, and a BECia.iAM pH motor Model vdth
calomel electrodes. The clay, still in sol form, was
beat ^vith the stirrer wliile the hydroxide compound was
slov/ly added. The calomel electrodes of the pH meter were
kept immersed in the sol thus enabling a constant recording
of the pH of the material,
SiiMPLE EXTRUDER. This extruding device is best illus-
trated by Figure 4. The dry powdered clay is mixed with
¥- cylindrical plunger
cylindrical chamber
stand
- o»0r-0"' hole
Figure, 4. Sample Extruder,
a suitable binder j IXico Household Cement, and is packed
into the cylindrical chamber. The turned down portion of
the cylindrical plunger, which fits into the chamoer with
cxtremol^^ close tolerance, is used to compress the clay
in the chamber thus forcing it to be extruded through the
0.020" hole producing a thread-like clay sample 0.020" in
diameter. The stand is used to support the complete
assembly. High grade steel n'as used in the production oT
each piece of this extruder. A photograph of this complete
assembly is shown in figure A (page 8l , Appendix),
-13-
X-RaY equipment. The general set up for taking X-ray
diffraction patterns of clays is illustrated in Figure 5.
"1
T7<s"
T 4 ^i
Figure 5, Schematic diagrojn illustrating general set-upfor the X-ray diffraction of clays.
T is a current transformer, X is an x-ray tube, F is a
filter, S]_ and Sg are slits in thin sheets of lead, is
the rrio-Linted clay pov'der sample and C is a narrow strip of
photographic film bent over a semi- circular strip of brass
concentric with the clay sample. This diagram is highly
simplified to better illustrate the fundamental considera-
tions involved.
The filter is a shset of metal chosen of such material
that it specially absorbs all v/ave lengths shorter than the
desired one, leaving practically nothing but a single in-
tense line, VriQoL line of the K series of the anode material.
For a copper target, the proper filter is nickel. X-rays
first pass through the filter v^hicii absorbs all but a single
wave length,' then through the two slits which confine them
to a narrow beam (about 1 mra wide); then through tiie pow-
dered clay sample which scatters or "reflects" a very small
fraction of them; and thence to the center of the photo-
graphic film (which can be a flat film as well as a cylin-
drical strip of film). '-^/hen the film, is developed it shows.
-14-
in addition to tho over-exposed portion in the center where
the direct bean strikes, a series of other 13?igs on each
side of the center. These linos constitute the diffraction
pattern of the clay sample (see previous section on THEORY),
An x-ray tube with a copper target and a nickel filter
were chosen for tho work in this thesis as the <?^ lino of
the K series of this material gives maximum sample pene-
tration with minimum exposure (three hours).
No x-ray tiieory nor wiring diagrams for the particular
x-ray used in this thesis will bo given a.s they are quite
involved and are discussed at length in any standard text
dealing with x-rays and radiography.
For the rjeneral Electric diffraction tube used in
in this work tho maximura kilovoltago is 50 K-v,P, and the
maximum tube current is 20 milliamps,
A photograph of the x-ray tube is shown in figure B
(page 82 , Appendix),
POWDER CAMERA. Tlie DEBYE SCHERRER powder camera is
widely accepted as an excellent x-ray camera for obtaining
x-ray diffraction patterns of powdered samples. A drawing
of this powder camera, used in this work, is given in
figure 7 (P^-ge 83 , Appendix) and a photograph of it in
position v/ith the x-ray tube is shown in figure
(page 82 , Appendix). It is essentially a brass cylinder,
closed at one end, with a brass collar which fits, with
close tolerance, concentrically inside. A strip of x-ray
film tv;o inches wide fits against tho inside of tho cylin-
-15-
dor and is pressed flat against it by a simple knob and
slide arrangement which engages the ends of the film and
by sliding along th(3 cylinder's perimeter, forces the film
to be flush against it. The collar, v;hich has a slit along
its perimeter to allow the passage of x-rays to the film,
fits inside tho cylinder against the film thus holding the
film secure in its position. The slit is covered with
opaque paper to protect the film from exposure to light
and yet does not hinder the passage cf x-rays. The two-
slit arrangement as described under the x-ray apparatus
section is made possible by a tapered spindle which is
inserted through tho cylinder, the film, and the collar and
projects inwardly training toward t.he exact center of the
cylinder. This spindle has a 0.030'' diameter hole drilled
through it and thus serves the purpose of narrowing or
collimating the x-rays to 0,030" in width. With proper
alignment of the camera, the narrowed x-rays are directed
toward tlie ssiraple by the collimation spindle. The camera
is mounted on a stand which makes possible the adjustment
of the camera about horizontal axes at right angles to each
other.
The sample, which must be in the form of a cylinder
about 0,2 inm in diameter and one inch long, is mounted
in a small sample,' holding tube which fits Inside a well
in the center of the camera. The x-rays, reduced to 0,030"
width, are directed to the s;\nple by tho collimation spin-
dle, pass thr'.-.ugh tho sample being reflected during this
-16-
transit, and continue on through another spindle which
fits through the cylinder diametrically opposite the ccl-
lination spindle. This second spindle plays the role of
alloTving the x-rays to pass through the entire assembly
so that they can be detected on an x-ray-sensitive screen
mounted on a small stick which is held in the operator's
hand. Proper alignment of the powder camera is accom-
plished when a concentrated x-ray b(5am is seen scintilla-
ting from the s croon,
PI^iT Cassette. This is nothing more than a metal
rectangular frame for holding and mounting, into position
before the x-ray tube, 5" x 7" flrt, rectangular photo-
graphic film. A 5" X 7" piece of opaque paper, which pro-
tects the film from exposure to light but dees not hinder
the passage of x-rays, is placed into the frame and then
5" X 7" flat film is placed inside the frame against the
paper. A 5" x 7" piece of stiff cardboard is then placed
against the film and everything is finally sandwiched to-
gether by a metal backing v?hich is forced against the
cardboard by two springs v/hich boar against the frame.
This assembly is mounted before the x-ray tube and a
0,020" pinhole arrangement narrows tlie beams which are
directed at the cassette 6 cm. aviray. A small lead plug
suspended by a wire is placed against the cassette where
the x-rays strike so as to absorb the direct beam. The
sample, again in the foriii of a small tube or cylinder, is
-17-
moimted across the ccntor of the pinhole such that the
narrowed x-rr\7 boains pass through it and aro rcflooted onto
the filr;i in the cassette giving tho desired diffraction
rings.
A photograph of the flat cassette in position with
the x-ray tube is s}iov;n in figures {P'-g« 82, Appendix),
MEaSIIPvIMCt device. This is used to measure the radii
of the diffraction rings of the diffraction patterns
appearing on tlio negatives. The fi].n, both strip ciixd rec-
tangular, is clamped in a horizontal position and a slide
viewer 'vith a reading hair and vernier is placed v/ith the
hair coinciding with the ring being read. The radius of
the ring is then coriputed from the reading on the vc;rnior.
The measuring device is placed ever a light-box so that
the light shining up through the film enhances the reading
of the film,
DEVELOPING AND PRINTING EQUIPMENT. Standard devel-
oping and printing equipment was used in developing and
printing the diffraction patterns.
PART IV
PROCEDURE
-13-
PROCEDURE
Rock River, Wyoming Bentonite; Dry 3ranch, deoi jj^xa.
KaoDinibe; and Joliet, Illinois Illite - Bearing Ghrle wore
chosen as representative of the three basic clay types.
The cations H'^ , Naf , kI and Ca"^'^ were selectad fo-
the ionic saturation of the clays as thoy ;-ire coamonly
found in clays in nature.
In order to study the expansion charac bericii;!'." of
the chosen clays due to their hydration, the prepared
clay samples were first oven dried at 110*^0. for 24 hours
and were then completely saturated with distilled v/ater.
Each clay v/as passed through a No. 200 mesh sieve in
an attempt to arrive at the optimum particle size for sharp
x-ray diffraction patterns,
HOMO- IONIC Saturation O? clays. The Bentonite was
placed in a mechanical mixer along with distilled water
and was thoroughly mixed producing a clay sol which was
placed into the central coll of the Bradfield electrodia-
lyzer. Ellectrodialysis of this clay sol was allowed to
continue until the pH was reduced to 3,2 as compared to
the original pH of 7.9. The pli determinations were made
with the use of a standard Beckman pPI meter, Electro-
dialyzing a clay sol to a pH of 3.0 to 3.5 produces a pure
HT clayC^). The H^ bentonite sol with a pH of 3.2 was
-19-
reraoved from the electrodialyzor and a portion of it was
placed into a 600 ml. boakor. Using the drraiif^enent as
described under APPARATUS, the sol was beat continuously
while a 0,1 normal solution of sodium hydroxide was slowly
added until a constant pH reading of 8.2 was obtaint-d.
This m.othod was in accordance with roforence ^7) I'o: the
preparation of a relatively pure sodium cj.ay^ l c c a tj c i jm.
and calcii.m bentonito v.'ere also prepared l:v t/c'.^ •r.'i'thod
using 0,1 norma] solutions of potass: un Yr- Irox? C-^ -.o.-d
calci'.:m li^.'^c'roiT.ide respectively in plL'Ce o" i;ho ^,v-'u:'.'\ni
hydroxide
.
The corresponding homo-ionic samples of kaolinite
and illite along with more bentonito were prepared by \V.
D. Ennis and J. C. Hufft^^^, by the potentiomotric ti-
tration method starting with hydrogen clays which were
obtained by displacement with hydrochloric acid.
The following sam.ples were made available for x-ray
diffraction studies: H^ , Naf, K^" and Carf bentonite using
olectrodialysis to obtain the H^ bentonite; H^ , Na"*", k^" and
Ca'J'f bentonito, illite, and kaolinite using HCl displace-
ment to got the RT clays; and the original or as received
samples of bentonito, illite, rind kaolinite. X-ray dif-
fraction patterns were taken of each of the above samples
in the oven-dry state (110°G. for 24 hours) and the com-
pletely hydratod state,
PREPaRaTIOLI of clay SALlPLilS i^'OR X-RAY DIFFRaCTIOII,
-20- •
After obtaining the prepared clay samples, a suitable
method for mounting the samples in the x-ray camera had
to be devised. Before the method of mounting the pow-
dered specimen, whether dry or fullj'" h^'-drated, could bo
selected, the optimum thickness of the sample to bo used
had to bo determined. An approximation as to the thick-
ness required was arrived at by the substitution of
estimated values in the equation^^/ t - £ where t is the
optimum thickness and^^^is the linear absorption coef-
ficient calculated from the mass absorption coefficient
according to the relationship: \^- d^p(^
= dfPA(^)A f ^B^pB f PC(^---J
d being the density of the material, p the elemental
fraction in the compound and "^ the mass absorption coef-
ficients of the elements for the wave length of the
radiation used. As previously mentioned, only an approx-
imation of the optimum thickness was obtained hj substi-
tution in this equation as d and p had to be estimated,
their actual values being unavailable. This approximate
thickness was 0.20 riim. Past researchers had packed their
samples into capillary tubes made of glass but this was
ruled out because measurements on Pyrex tubes with wall
thickness just sufficient to permit careful handling
showed forty to fifty percent absorption of the CuK«i?(_
radiation. Plastic materials (materials with amorphous
patterns and impermeable to moisture) were preferred to
-21-
glass and in this respect, polyethylene tubing was first
used to make the specimens. The tubing ^vas filled with
a clay sample, the ends were sealed by squeezing the
plastic with hot tweezers, and the whole was pressed flat
to about 0,2 mm. thickness. This proved unsatisfactory
as the sample was not the proper shape nor thickness tmd
the resulting pattern was highly diffuse and distorted.
The size of the tubing was reduced and tightly packed
v/ith some of the c^ry powdered clay so as to approximato
a cylinder about 0.2 mm. in diameter. This improved the
sharpness of the pattern but did not remove the distor-
tion duo to its not being truly cylindrical. An attempt
v/as then made at rolling the pov/der between two glass
slides using Dupont Duco cement as a binder. The cement
also acts as a diluent, and if kept to a minimum, generally
does not affect the background of the diffraction pattern,
/ Q \
According to Schieltz^ ', "Vtoen Dupont household Duco
cement is used as a binder for the powdered montmorillonite-
type clay samples, the difjneter and sharpness of the
innermost lino in the pattern gives some information con-
cerning the identity of the adsorbed cations. Preliminary
observations indicate that a broad diffuse line represents
a mixture of cations, whereas c. sharp narrow line repre-
sents a relatively pure single cation". This method of
the tvro glass slides proved inadequate, however, as it was
too difficult to obtain the right si^e and shape of speci-
-22-
mcn. It \vas finally decided to try extruding the clay
using Duco cement again as a binder and clay conditioner.
This, of course, could only be applied to the dry samples.
An extruding device (see APPARATUS) was thereupon designed
such that the clay could be extruded into a thread-like
specimen through a 0.013" diameter hole. This diameter
proved to be too small requiring a long exposure time
and the hole was increased in diameter to 0,020", This
proved to be highly satisfactory as the dry clay, mixed
with a minimum amount of cement, was quickly and easily
extruded; the resulting specimen had the proper cylin-
drical shape, the right thickness and the right consis-
tency such that the resulting patterns were sharp, com-
ploto and uniform. The specimen also proved to be durable,
withstanding a great deal of handling without breaking and
could be easily reclaimed and filed away for future ref-
erence and use, A minimiim amount of sample (loss than
0.01 gram) produced several specimens two inches in length.
All the final dry specimens v/ore prepared for the x-ray
by this extrusion method.
The preparation of saturated clay samples for x-ray
diffraction proved to be a more perplexing problem.
Naturally, extrusion was out of the question. Other in-
vestigators had packed clay pastes into glass tubing of
various diameters sealing them with a waterproof cement
such as DoKhotonsky cement or plastocene in order that no
-23-
noisturo bo lost diiring x-raying. As previously mentioned,
glass has high x-ray absorption and also has a halo-like
diffraction pattern with long exposures. The use of plastic
materials was the natural recourse and polyethylene having
failed, it was decided to attempt the making of smaller,
rigid plastic tubing by coating an annealed copper wire of
the desired size with a plastic solution and removing the
formed tubing after the solution had dried. Polyethylene,
Polystyrene, Lucite and Duco cement were each dissolved
and formed on a wire, but cacli proved too difficult to
remove from the '.vire wlicn dried. Success was finally
achieved using ethyl cellulose dissolved in methyl ethyl
ketone and xylol^ ', The annealed copper wire was
straightened by a minimura am.ount of stretching and was
cut into two inch lengths. The dissolved plastic was
applied to the wires and allowed to dry in an oven at
SC^C. for 48 hours. After removal from the oven, the
coated wires were gently stretched thus breaking the bond
bctwoon the plastic and ^vire permitting the removal of the
tubes. Drying the plastic-coated wires for periods in
excess of 48 hours resulted in the development of a
stronger bond between the plastic and wire, making the
removal of the plastic tube too difficult. It should
also be noted that if the wire is stretched too much
while being straiglitcned, ductility is sacrificed and the
v;iro breaks whiles being drawn to permit removal of the
-24-
tubing,
A photograph of tho tubes is shown in Figure B , p. 8l,
Appendix,
The tubus made in this manner were cylindrical, the
right size and rigid such that they could easily be han-
dled. They wore filled by inserting one end into the hy-
drated clay sample and running tho wire, on which the
tubes were formed, through the tubes into the sample. The
wire was then pulled through in the opposite direction and
thus created a vacuum such that tho clay paste was drav/n
into position in the tubes. Possible leakage of tubes
was checV;ed by drawing the clay paste inside and then
pushing it out again to see if any escape of the clay took
place through the tube walls. Having boon filled with the
hydrate d samples, the tubes were scaled by pinching the
ends with hot tweezers or by dipping the ends into the
dissolved plastic and allowing the plastic to dry. Unfor-
tunately, neither method vms thoroughly effective as the
samijles di'ied cut n.fter 6 or 8 hours thus necessitating
ir.Lmediate x-raying after tho filling of the tubes, A more
effective means of sealing the tubus is yet to be found,
Tho first tubes made in this manner were formed on
No, 36 B?c S gauge wire resulting in a tube diameter of
0.127 mm. These tubes proved to be too small requiring
excessive exposure times and No, 24 B<?^S gauge wire was
then usf.^d .giving a tube dlametur of 0.5 r.im. This proved
-25-
to bo ideal as the patterns of the hydrated sarxples con-
tained in these tubes wore complete, sharp and uniform
requiring only three hours exposure, the same amount of
tine as was required with the final extruded dry specimens.
It should be noted at this point that the hydrated
sariplos wore obtained by boating the homo-ionic saturated
clays and the as received clays in a mechanical beater
with excessive amounts of distilled water for fifteen to
twenty minutes after which they were allowed to stand
until placed into the tubes for x-raying.
The dry samples were prepared by drying the treated
clays and the as received clays, grinding them with mor-
tar pnd pestle, passing them through a No. 200 mesh sieve
and drying them in an oven at llO^C. for 24 hours. Those
particle sizes passing the No. 200 mesh sieve proved to be
ideal for sharp, clear diffraction patterns,
PROCEDURE FOR OSTAlIIINa TIII^ DIPFRaCTION PATTERNS.
The x-ray spocimons of the dry and hydrated samples were
secured in the sample holder of the Dcbye Sherrer Powder
Camera (see APPiiRnTUo), the camera was properly aligned
and a three hour exposure was allowed. Kodak type^^x-ray
film was used in the camera as it gives the best contrast
for such vvork at a higher relative speed. The «C line of
the K series of Copper was used as the radiation as it
gives maximum penetration with a minimijira exposure.
The Dcbyo Sherrer Camera proved inadequate for taking
-26-
diffraction patterns of the bentonite samples as the inner-
most rin[^ occurred in that region on the film where the
hole for the spindle, opposite the collimation spindle, was
punched. In attempting to correct for this, the oC line of
the K series for Chronium radiation was used as the wave
length is about twice that of the corresponding copper
radiation and thus would increase the diameter of the inner-
most ring; hov/over, this also proved inadequate, a flat
cassette involving flat film which did not have to be
punched with holes was then used v;ith satisfactory results.
The same was feared for the illite patterns so the cassette
was used for five of them until it was discovered that there
was no inner ring for this pattern, whereupon the powder
camera was used. The lattice spacing of 1:aolinite is such
that the powder camera was ideal for kaolinito patterns.
Refer to the discussion for the flat cassette in Part III
(APPARATUS).
Standard darkroom procedure was followed in developing
the resulting diffraction patterns. A developing tank v»ras
provided with the proper developing solution, wash water
and fixing solution. The film v/as left in the developing
solution for seven minutes, washed for one minute, fixed
for tv/enty minutes and finally washed for thirty minutes
after which it v/as allowed to dry,
REiiDING Tliii pjiTT^RN .a;D COLIPUTIKO Till:; d-SP.iCIHG, The
radii of all visible rings on the patterns were read from
-27-
tho nogatives using tho rnoasuring instrument described
under APPARATUS and the d-spacings of the rings were com-
puted. These rings represent tho various families of
planes in the respective clay crystals with the innermost
rings for bontonito and kaolinite clays representing the
basal, not or d^Qi plane (see THEORY). The illite clays
had no inner ring (see RiiSuLTS AND CONCLUSIONS), The
method of computation for tho d-syjacings for tho patterns
obtained using tho powder camera, is as follows:
camera andfilm diffraction ring
x-rays
2TrT .. X360 " 26
2e = 560 3:
2 7rv
e = 22^;vr
Bragg' s law: n ">'-:-• .^d sin 8
d R n V2sine
Substitute for 6:
2s in
(
90 X ) wherein n-1, r-5.7 cm., X is^'r m.casured in cm. with vernier,
V s 1.54a'^ for CuKaC radiation,and d is the computed spacing inA^.
-28-
For the flat cassette:
diffraction ring
sanplo.
pinhole
film
1 ^x-rays
tan 20 = X, where ^ and S areS
measured and © is computed,
d s ^. where n - 1,
2sine> s 1,54A'^ and d is the com-
puted spacing in A°,
METHOD FOR IDENTIPI CATION OF CLiiYS, The d-spaclngs
for all visible rings arc computed and recorded along
with the relative intensity of each ring as determined by
eye, the most intense having, a relative intensity of the
order 1, the second n:;st intense having an order of rela-
tive intensity of 2, etc. These computed and recorded
d-spacin;'T;s and orders of relative intensity are then com-
pared directly v^/ith that A.S.T.M. IHDSX GiiRD which matches
most closely (see page i|2 , APFKIIDIX) , This method of
identification using A.S.T.ivi. Index Cards is known as the
HjvNA':'/f.LT method^ ^),
The other niethoo of identification is simply direct
comparison of the pattern of the unknown with other pat-
terns cf similar materials, and by direct matching or
similarity of patterns, the unknown is identified. See
RESULTS AND CONCLUSIONS for further discussion of iden-
tification procedures,
POSITIVE PRINTS OF Pi^TTERNS. Positive prints of
all diffraction patterns v/ere made on glossy printing
paper follov;ing the standard procedure for printing.
FART V
RESULTS iiND CONCLUSIONS
29.
RESULTS AND CONCLUSIONS
The clay particle size passing a IIo. 200 nesh sieve
and retained on a No, 325 mesh sieve proved to be the op-
timum particle size for obtaining sharp and complete
x-ray diffraction patterns. Those particle sizes not
passing a No. 200 mesh sieve were toe large giving "Laue
spots''^ ', scattered spots, v/hich disfigured the patterns
(see the pattern for the dry , as received bontonite).
Particle sizes much smaller than those passing a No, 325
mesh sieve were too small requiring excessive times of
exposure and giving patterns wliich vvore diffuse.
Use of the extruding device, v;ith Duco cement as a
binder, producing thread-like samples 0.020" in diameter
was successful in tnat the specimens were the proper shape,
size and consistency giving the sharp, complete patterns
which appear in. the APPJiNDlX, (See APPENDIX for prints of
all patterns).
The inadequacy of the use ci: polyethylene tubing and
of rolling the SiLrvplu between glass slides is illustrated
by the i\jspective patterns.
Ethyl cellulose tubing formed on copper wire 0.5 mm.
in diameter was the solution for mountijig the hydrated
samples, Sliarp, clear and undictortcd patterns resulted
from this method. Difficulty was experienced in effectively
-30-
seali2'i5 "tlio tubes and slight loss of moisturo occurrod
rr:aking it impossiblti to rotain the samples in their orig-
inally hydratcd stato. Dehydration occurred at a rate
too slow to affect the diffraction patterns.
The inethods used for proparin;-?, both the dry and
hydratod saxiiples are siriplo and quick and produce specimens
which are ca.sy to handle.
The oC line of the K series of copper radiation gave
maximum sample penetration v;ith minimum exposure.
The Debyc Shcrrer powder camera, 5.7 cm. in diameter,
was satisfactory for kaolinite and illite diffraction
patterns. The large basal plane, spacing occurring in the
bentonite could not be recorded using the powder camera
making necessary the use of the flat cassette discussed
\mder APPARATUS.
Of the x-riiv film.s available, I'odak Industrial x-ray
film Type K is the best for x-ray diffraction of cla^'-s as
it gives the maximum contrast with tlie highest relaLive
speed.
The interpretation of tlie diffraction patterns was
limiited to the analysis of int.jrplanar spacings only (see
pages 36 and 37 for a complete tabulation of these
spacings). No attempt at crystal analysis was made as
it requires extensive knowledge and experience in crystal-
logra]3hy.
In agreom.ent ^"ith the theory/ of the activity of ben-
-31-
tonite in adsorption reactions v;ith various cations and
with water, the diffraction patterns of the Rock River,
Wyoming bcntonite showed a marked change in the basal plane
spacing. The change in spacing varied in accordance with
the nature of the adsorbed ion, or ions, and v/ith the
degree of hydration. A comparison of the basal piano
spacings of the bontonito prepared by electrodialysis and
titration is as follows;
Ovon-dry: ":i ? Ca •> Na > K
Full2' hydra tod: H > Ma > K - Ca
Hot change (swelling) : Ila > K > Ca > H
For the bontonito prepa.red by KCl iisplacement o.nd poton-
tiometric titration;
Ovon-dry: PI > H > Ca > Na
Fully hydrat.sd: H> Ca )K and Na were not obtain-)ablc l'oi" j.-'ijRFons n,i_Lch are
Net change: (sv/cjlling): H > Cc ;explair.ed bolow,
f-i o\Barshad*' ^^' obtain^;d the following results for bentonitos of
difforont origins:
Ovon-dry (time and turnperaturu unknown): Ca > il > K > Na
rlydratod (immorsed in wator): Na ^ IT > Ca > K
Hot change (.rvolling) : Na > H > Ca > K
The dirrerencos \.n the above results are beliovod due to:
(1) different mt 'I'aodE used ici preparation of aamplo-s with
subsequent differanct- in quality of sa'-.plos, and (2) unlike
degrees of h^z-dratioii and dehydration. In strict accordance
v;ith thr: crys-L.a3 radii and the h;^drpted rrdii of the cations
-32-
involvod, the ordor of basal plane spacing should be:
Dry: Ca»K»Na (?H)
Hydratod: Na^K^'Ca (?H)
Throe J'easons why this order of spacing was not obtained
are
:
(1) The methods used for the preparation of the samples
arc open to question as no positive means of sample analysis
was undertaken, i.e., it was not known if the clays were
tr\.ily homo-ionic.
(2) It is doubtful if the complete dehydration of a clay can
bo accomplished without destroying the lattice structure
and if dehydrated ions can exist within the clay.
(3) Drying homo-ionic clays under the same conditions docs
not mean that each has the sane moisture content.
The innermost ring of a montmorillonite typo clay is
an indication of the nature of the adsorbed ion and the
extent to which the clay has completed its reaction with
water. A sharp ring denotes that the clay is principally
saturated with only one ion whereas a broad, diffuse ring
indicates sorturation with a mixture of ions. (See benton-
ite patterns, pages 57 and 59 ). With a complete set of
standards including such information as the origin of the
clay, method of preparation, and condition of moisture, it
Tvould be possible to more nearly establish the identity of
the adsorbed ion of a homo-ionic clay by comparison of
basal plane spacings. This could not be applied to clays
-OcJ-
saturatcd v/ith ions v/hich have tho sar.io valence and hy-
dratod .;..nd dehydrated radii such as Ca'^'' and r.ig'''^o
Sinco such standards are not presently available, x-ray
diffraction cannot be used to establish definitely tho iden-
tity of the adsorbed ion or ions.
If the reaction botv/eon bentonite and "/ater lias not
reached completion, i.e., the clf;.y is in the process of ad-
sorbing Vv'ater into its lattice structure, the innerraost ring
appciars broad and diffuse.
Due to the similarity in the d^^^^-^. cpecings of the ben-
tonite scnpl'.s x-rayod, it is believed that they were all
predominantly lrydro^,en bontonites ^vith varying decrees of
the hydrogen ion rupl3.ced by the other respective ions,.
ixic i'la'-^ K .--p^.-^ Ca-J-I bontonites h'-.d basal plane spacings
'^,'hich corresponded more nearly to the spacing for the hy-
drogen bentonite than to the spacings as establislied by
other investigators(^) (^^)^^^^(12) ^^^ bentonite saturated
with the oth'-r ions,
Thii interplanar spacings of kaolinite remained constant
showing that the lattice structure of kaolinite is such that
ions and rsioleculos of water r^.re adsorbed on the surface of
this clay rather than v>^ithin the structure itself,
T/ie illite v-'Mple used had no inner ring indicating
thr.t insufficient illite was present in trie naterials. By
direct corriparison of the diffraction pattern of this ria-
terial, it was found to be similar to the pattern for an
-34-
( n \
lllltQ~[^lfuic:'.i\tn. nhrilf, iiP! i'o-and in rot oronco ^ ''
' .
Tha Hanav.'alt '.nothod Tor the idontifi(iation of clays
fron thDir diffraction patterns involves the use of ArS»
T.i'I. card indices wherein the intorplanar .spacings and
relative orders of intensity" of the unknov.Ti are conparod
vv'ith those appearing en the index cards. This riochod is
illustrated in fi glares B and B , pages l\.2 and 60 ,
but is of limited value as the nui7iber of index cards for
clay .ninerals is insufficient and the cards lack such
necessary inf orn;ation as the origJ.n cf tlio clay, condition
of moisture, and ion content.
The method of direct comparison of pcatterns of un-
knov.rns 'vith pattor^is cf known mat'.;ri;.ls is a quick and easy
method of determining tno typo of clay mineral. Excellent
patterns of kno:vn clav minerals which could bo used for
dir'^. ct Goriiparison are shown in figure 6 , page 80 •
The possible sources of error in the x-ray analysis
of clays in this thesis are:
(1) Uncontrolled moisture, both dry and hydrated,
(2) nicroscopic irrcgulnrities in shape of specimen which
may create slii^ht djist^rtlons,
(3) Possible) film shrinkage - considered negligible due to
careful developing.
(4) Sample, when mounted in the pov/der camera., Liay deviate
from a vertical straight line thus offering possible source
of distortion.
-35-
(5) Errors involved in neasuring distance froiri center of
sariplo to surface of filn in flat cassette.
(6) Hurian errors involved with use of measuring device for
radii of diffraction rings.
X-ray diffraction is of inestimable value for the
study of clay minerals for the following reasons^^^:
(a) The technique required to make x-ray patterns is
relatively simple,
(b) Since tliis method is indostructivc , tiie sample can
bo used for further studios by other methods,
(c) Only a very small amount (loss than 0,01 of a
gram) of the material is needed to make up a sample.
(d) Only a limited accuracy in m.easurom.cnts is neces-
sary when making a qualitative analysis,
(e) A file of diffraction patterns constitutes a per-
manent re cord
,
It must be noted, however, that x-ray diffraction is
not a p£inacoa for all problems and its utility is usually
considerably enhanced if it is used in connection with
other methods, especially differential thermal, chemical,
and spectrographic analyses. This is particularly true
for the invc^stir^ation of complex mixtures because at the
present time, an appreciable amount of a constituent, from
one to thirty percent'-'-''"'), must be present in a mixture
before its presence can be detected. Use of improved
techniques shoul'i do much to correct this situation(8)
,
.36.
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O O O C cO ..-rf erf Lrf da^ ^^ t^:; Jid t^
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f) I to to I I to t I to• I • » I I • I I •
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to LCD ^ t^:> toLO 1 LO LO 1 i LO 1 1 is:>
• 1 • • 1 1 " 1 1 •
rH rH rH rH rH
O CO rH CV) '^ CM O to CO rHCOOOCOCO COCOOOCOCCCO• • « • •'•••••-HrHrHrH r-\ r-i r-A r-^ r-i <-*.
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to rH Cv^ o o 'vM to CM LO rHv^ ^-i ^i^ LO uO LO -t^ LO L::'; LO
• m • • • • • • •>-;M «-tJ ^H '^ <-J^ ^T^ t;H -^ ^H "J^
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to '-^ CO ^0 to
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cj erf erf erf erf
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^ f.^
Part VI
RlilCOKMlCKDATIOriS
-30-
RKCOKMJNI^ATIOIJS
In ordor to fully utilize th<; method of x-rqy diffraction
for tho analysis of clay minerals, it is important that a
complete file of standard diffraction patterns be established
for all the natural minerals under tlie montraorillonite,
illito, and l:aolinite gi'oups of basic clay minerals. Each of
tho minerals constituting! the file of standard patterns
should be x-rayed in its natural state. Also the bentonites
and illitos should be carefully tx;ated such that each is
purely saturated with single types of cations in tho Hoff-
meistor series. They can then be x-rayed producing complete,
clear and uniform diffraction patterns forming a necessary
part of the file of standard patterns. Further v\,'orl: should
also be done in carefully treating these clays such that
varying percentages of different ions are adsorbed within
their lattices. It is fully realized that such work would
be extremely difficult, but at the same time, it is con-
sidered necessary for a complete file. Included with each
of the above patterns should bo the following important
information: origin of clay, method used for ionic satura-
tion, quantitative and qualitative analysis of clay, con-
dition of moisture giving percent hydration, and tabulated
intorplanar spacings and orders of relative intensities.
Such information could be obtained and checked by the
advantageous uso of other motliods of clav analysis including
-39-
,c,p,-o.tr'ococniG tstudlos, dificz'ontial thonnal analysis, op-
tical analysis, deriydration curves, and quantitative and
vqualitativo chemical analysis. Several of the foregoing
methods of analysis should always be used in conjunction
with x-ray analysis of clays, '"/ith a complete set of
standard patterns as outlined above, x-ray analysis would
bo a quick, accurate and easy method for determining the
type of clay, structural classification, nature of adsorbed
ion and positive identification, ^Vithout the prescribed
information which should be included with eacli pattern, the
file of patterns would be rel-itively worthless.
An interesting and valuable, study would be that of
determining the swollinx characteristics in detail of ex-
pandin.^ lattice-type clays by care^fully controlled methods
for successive def^reos of hydration, using x-ray diffrac-
tions to detect and record the pro^^ress of swelling of the
clay from its "dry" state to its completely hydratod state.
This could serve as an informative insight as to the nature
of the swelling of clays due to hydration.
Associations of montmorillonito i-'ith organic materials
have been studied from time to time and it is recommended
that further research be conducted in this field as it has
already resulted in important discoveries relating to moro
accurate and detailed analyses of clays by x-ray diffraction^ ^^ )
The tecimique of x-raj diffractions a;; developed in
tills th(;Eis is conGJdered higlily satisfactory and easv to
-40-
dnp?:.icn.te ; howcvor, it is rocoinrnandod that fu1;urG investi-
gators in this work devise a ••loro offoctlve rnothod for
sualin'.^ tlif; •wio.ll plastic tubes so that no escape of raois-
ture vvil3. occur from the hydratod clay samples , Such future
invcsti ;atcrs sliould also become inore farailiar with the
science of crystallography thereby putting theinselves in a
more advantageous position to extract information, in
addition to what was brought out in this thesis, from the
diffraction' patterns.
Calibrabion of the powder camera using a known stan-
dard such as NaCl 'ind the use of equivalc;nt radii for the
calculations of d-spacings rocorded on flat cassettes are
recommended for tlio elimination of any possible sources of
error duo to a non-vertical sample mounted in the powder
camera and duo to iiiaccuracies involved in measuring the
distance from the conte->^ of the- sample to the surface of
the film in r . flat c a s s e 1 1 e
,
P.JiT VII
APPENDIX
f 1
Figure A. Bontonlto pattern obta5.nod by use of polyethylonotubin-^ mounted in powder camera. Note irregularity anddiffuscness of pattora. No inner ring appoars en right sidein area of hole«
Fi.r^urc B. Bentonito pattern using extruded dry sariple mountedin powder cariera. Note inprovorr'tont over figure A in sharpnessand uniformity of diffraction rin^s. No inner ring appoarsin area nf hole.
Figure C. Bontonit..; pattern using j;5lass 3lidr;S to roll pow-d'jrod SMriplvi nixed with Duco C(ir.ient, Note irregularity anddiffuseness -^f pattern.
Figure D. Bentonito patturn usinnj th(j oC lino of the K s-^riesof Chromium radiation. No inner ring o.ppears in area of hole*
i
RingNo.
TYPICAL DIFFRACTION PATTERN OF BENTONITE
A.Tiock River, Vifyoming Bcntonite: As receivedand oven dried at llO^C for 24 hours.
I
Radiusin cm.
0.6951.9152.1452.6452.9853.1054.927.165
Order ofIntensity
1426
3578
mterplanarDistance (a°)
13.385.004.503.743.363.252.281.82
d il2. 214.4^3.1 -
Viii.oo|o.5qo.n(
-"i1
40 20 ' 81
' Bentonite
;
'
z =
.Ao3 ^0* '^O"
A= Cai Da
' n= Ws Gs
dm ao
V= .708
12.204.483.142.561.68
I/I 1
1.000.500.200.150.05
1.498 0.15
1.2881.250
0.030.03
d3nA°7.=.7Ce
i/r
^. A.S.T.M. Index Card for Bentonite
Remarks: Origin, adsorbed ions and moisturecontent of a.S.T.M. Bentonite unknown,
i
43
Rinn; (Radius|Ordor of
i t
No, jin cm .j
Intcnf^ity
1 _ i
2 - i
5 2.155 i 14 2.1^95 ^ 25 ^^ )
6 -
7i
8 ^ *
9 Ij..l9 31011 i
!
12i
IntcrplanarD:
:::i=
r^'i stance (A*^) i
1^.503.93
2.56
Clay Typo: BENTONITE
Adsorbed Ion: As-received
Romar]:s: Fully Hydrated
44
t:I Rinn; l Radius
No. m cm.Order ofIntensity
IntcrplanarDistance (a'^)
1
2o4
56
7
89
101112
0.60i
1.93 !
2.15512.39 i
2.6I1.5j
2.995I
3.65I
i|-.19j
7.2I
1526
k3
8
..x..^-.
15.39I^..96
I1-.50
3.7I4-
3.36
2.862.56
2.121.81
Clay Typo: BEIITONITE
nAdsorbed Ion: _^__
Romar 1 : s : Slectrodialyzed, Ph Oven-dpy
45
RingIRadius
{•JO, (in cr.i.
Order ofIntensity
j
Intcrplanari Disti'-nce (a*^)
1
25'-X
55
7
89
101112
2.11].
2.59
i|.l8
i
L
1
2
k
20.3
3.36
2.57
X:
Clay Typo
:
BENTONITE
Adsorbed Ion: H^
Romarics: Electrodlalyzed, Fully Kydrated
4G
Rinr^ iRadius Order ofiJO,
1
234
56
7
89
101112
I in cm.j Intensity
i
0.67I
! -I
i
2.11^.I
; _ I
i 3.0i+I
i
:I
!
I4-.17 I
I
i
1
2
k
3
i
IntcrplanarI
i Distance (A^) \
13.69
3.32
2.58
Clay Typo: BBITTCNITE
Adsorbed Ion: Ca
Remarks: Electrodlalyzed, Oven-dry
4r
Rinr^ (Radius I Order of]jo . 1 1 n cia, i Intons i ty
1
234
5
6
7
89
101112
0.1|.8
2.165
3.03
i k.22
1
2
3
InterplanarDistance (A^)
19.2?
3.33
2.56
Clay Type: BENTCITITE
Cai-idsorbod Ion: .____
Homar I : s : Electrodialyzed, Fully Hydrated
48
\Rins Radius Order of Intcrplanar |
: Ho
,
in cm. Intensity ^istance (A°) i
1 0.701 1 13.25
2.171
12 k'k^
5
5 3.00 3 3.357
8 3^66I|..22
i i2.8i|.
10 - 1
J
' 11 - 1
12
„.J
Clay Type: B2NT0ETTE
Adsorbed Ion: Ua
Remarks: Electrodialyzed, Oven-dry
i
49
Rinr^ iRadiUv<5 i Order ofI I
No, lin cm. j Intensity
1
2o4
5
6
7
89
101112
jIntcrplanar
i Distance (A^)
I
0.k72i!
-'
i
I
2.17I
I 3.02 I
I4.19
i
l-Ll,
1
2
3
k
I
1945
3.3I1-
2.56
Clay Typo: BENTONITE
NaAdsorbed Ion:
Romarks: Electrodialyzed, Fully Hydrated
50
Rin^ iRadius i Order oflio , j in en.
| Intonsityi
InterplanarDistance (A^) i
1
^— r-
—
' 0.7021
1 13.111-
L
' 2 j
o4
2.1781
2 It-.i+S
5 1—1
6
7 3-ii i k 3.251
8 __
9
1011.203 1 3 2.56
11 i
12
Clay Tyi30 : BENTONITE
Ad sorb eci Ion: K
Romarks : Electrodialyzed, Oven-dry
I
bl
Ring jRadiusj
Order ofNo. tin cm.
jIntensity
i
Intcrplanari Distance (A^)
1
254
5
6
7
89
101112
Io.[^8 !
i
-j
I
2--^i
i
i k'2.
.^.L
1
2
Clay T:,'Pg: BSIITCNITI
KAdsorbed Ion:
Remarks: Electrodialyzed, Fully Hydrated
bZ
TRins i Radius {Order ofNo. lin cm.
j Intensityj
Interplanar1 Distance (A^ )
1
23
0.672
2.16
T
5 ~i
6 3.01 1
VI
8_ 1
9 1+.21i
10 1
11 i
1
12 7.2j
1 13.79
2 k.k^
3 3.3k.
k 2.56
5 1.82
Clay Typo: BENTOrTITE
Adsorbed Ion: H
Romarlcs: HCl Displaced, Oven-dry
53
Rm^ iRadiUv"?
I-jO. jin cm.Order ofIntens ity
InterplanarDistance (A°)
1
2o
6
7
89
101112
i0.1^55
I
i-
I
I2.11^
I
I I i
1 2.96 !
i"
!
1
1
2
3
k
...1
20.3
il-.52
3.37
2.59
Clay Typo: B2NT0HITE
Adsorbed Ion: E
Rom p r>ir s : KGl Displacement, Fully Hydrated
54
Rin3 Ratiius Order of Intorplanar j
No. in cm. Intensity Distcince (a^) 1
' 1i
0.682 1 13.622o4r:
1
\2.17
: 2.295mm
3k
i^-.^6
O
6
7\ 3.025!
-
2 3.32 1
1
8
1 9: 10
i
1
i -I J4-.22
I]-.^85
I|.98 f
17.2)4.
.L ..^.J
5786
2.562.I1J4-
2.261.81
Clay Typo: BENTONITE
iidsorbed Ion: ;a
R o/m « r> I r s : HCl Displacement, Oven-dry
5^)
I Rinn; jFiadius j Order ofNo.
I
in CM.jIntensity
IntcrplanarDistanc e (A*^) i
1
234
5
6
7
89
101112
2.165I
3.013
[{..21
12
3
Clay Typo: BENT NIT]
Adsorbed Ion: Ca
Rom p rlf s : HCl Displacement, Fully Hydrated
56
RingIlo
.
iRadius j Order ofijn en.
IIntensity
jInterplanar j
i Distance (A°) i
: 1 0.70i
12 1.9a
!
2.16 1
5o 24
i
5 2.675i k
6 3.01 i 37
8 _ i
i9 I1.22 1 6
i 10 » 1
111
i
! 12i
1
I.
7.2i|i 7
13.1+9
3.693.33
2.56
1.81
. 1
Clay T^-pe: BEITTONITB
Adsorbed Ion: Na
Hcinwri's: HCl Displacement, Oven-dry
b(
Rins i Radius i Order ofj
Intcrplanar5 ,,
jin en.1 Inttmsity j Distance (A° )
' 1
4
5
1 1.91|
1 2.175
12.78
-1
1
1
j
1
12
3
i
i k'%
i k.OO! 3.581o
7
89
10' 11
3.18
1+.75
1
i
i
i
7
968
1
3.19
1 2.61).
! 2.3fi-2.111.
121
1
1 I
Clay Typo : BENTOFITE
Adsorb 6d Ion:
s: HCl ]
Na
Romar]: Displacement, Fully Hydrat ed
58
\Hins Radius i Order of
i
Inttjrplanar'. ho. in cm. t Intensitv- i Dislbance (A°)
' 1 0.67 T 1i 13.89
1 2 1.91^. 1i^
t
l]-.95
. 3 2.17{ 2 k-M
4 2.67 i 6 3.715
1^ s
t6 3.01 1 3 3.357 ~
i
1
8 3.7 ! 7 2.829 l|..22
j 5J
2.5510 _ j
1
11^ i
1 12 7.li^-! 8
i
1
1
1.81^.
Clay Tyiic : BENTONITE
Adsorboci Ion: He K
Romarlrs ! KCl Displacement, Oven-dPY
59
Ring i RadiusjOrdor of
No . {1n cr.i . j Int o n s 1 1^,^
IntcrplanarDistan c e (a^ )
1
23
o
7
8
1.99
2.77
91
3.8910
1 5.17 ;
111
-
12I
-
1
2
h3
Clay Type
:
BENTONITE
Adsorbed Ion: K
Rom
»
r^v s ; HCl Displacement, Fully Hydrated
TYPICAL DIFFRACTION PATTERN OF I^OLINITE
A. Georgia Kaolinite: Saturated with Ca'*"*' ionand oven dried at llO^C for 24 hours.
bU
! Ring : Radius Order of Interplanar|
iNo.
1in cm. Intensity
1
Distance {A°) 1
1 'l.221 ^
- .„..
7.21\ 9 ,'l.99 4 4.43
i3 '2.115 6 4.18
J
^ 2.475 2 3.585 2.64 8 5.355S 3.475 7 2.568'7 5.575 7 2.508 3.825 5 2.349 3.895 9 2.297
10 4.425 11 2.03511 5.475 10 1.66812 6.195
1
5 1.49
d fe.59
^1I
1.00
12.5 10
'7."2J4.45|d ini >=.708
O.SO 0.80
10
Al2Si205(0H)4Kaolinite
Z =
Ao= bo= CosA r C 3
D =
n w - e s
7.204.45
'
4.304.204 . 04
I/I
0.800.800.640.480.32
din ^> = .7CE
TTso1.671,54
3.59 I 1.002.56 t 0.482.502.341.99
1 1.901.85
0.480.800.320.080.08
i/i:
0.080.400.16
1.490! 0.561.310 0.08l.S9j0.161,24010.16
A.S.T.M. Index Card for Kaolinite
Remarks: Origin, adsorbed ions and moisture
content of A.S.T.M. Kaolinite unknown.
Gl
i
Ring;Radius Order of
No, j in cm. 1 Intensity
'' Int[ Dis
erplanartance (ii°)
V.18i1 1,225
;2
2 ;
1
1
1
•
1
3 ! 2.115i
1 1 4,18
4 2.455I
5 5.61 1
-.--.. -^ -1 S.461
2.58i !
Q |_3.56
I
1
1 2.51
7 ;
3.81 1 5
"1
2.35 j
i
• 8 ; 4
'
j
.__,9_„ 1 ^50 »— 1
1
2.00 J
10 1
-- j
1
1
.__ii 1_..-zzj:---
!
1
12 6.2n 1.49
Clay Typo: KAOLINITE
Adsorbed Ion: AS-RECEIVED
Remark s : ven -dr
y
%
G2
! Rmn;IRadius j
Order of! in cm. I Intonsity
2,00 i
\ Interplanar !
IDistance (a°)
|
J7,^12
I
4,41 i
i- ^ i 2.48 j
4.17_
5.57
3.49
! 5.55
': 5.85
k-'.oo
8_
,11.
12
3.91?L__..i..._ ...J.
4.54
5 . 50
6,221
^54_
2_,30_
1.98
.l.?JS_
1.49
I
i
H
Clay Type: K^OLOITE
Adsorbed Ion: AS-^iiCEIVED
Remarks: Fully hydrated
63
j
Ringi
No,
1
IRadius 1 Order of
Im cm.
"F-i Intonsitv
1.22 ! 2
\ Interplanar !
\Distance (k^) !
f 7.21 !
2.455i
Jt-l
!
-5_i
;.-_._.6...
!,. 7_,
i 8
I
:io_
i
i 11
I 5.46t
3
6
4.18
5.59
.56 I
(
1 T-5.85 i
: ._M1_.I.
4
5
2 . 58
2.51
-L...
•-
1
6.13
2.55
2._32 _ j
1.49
Clay Type: KAOLINITE
Adsorbed Ion: H
Remarks: Oven-dry
64
I
Ring: No
,
2
A
; RadiusiOrder ofIntonsitym cm.—
^^^^-F- =d=^i
\1.255
' 1.995 i
1
5
' Interplanar5Distance (A°)
;7.13
t
' 4.42i_
*__2._ie5
! 2.475
6
—;-3,475
I"—
,_-6
8.
jLO^
12
;3.57
'
3.815
j_5.89
j4.525
5.475
-.4—
.
6.185
2
7
7
4
8_
9
9
5
.4.19.
3.58
2.57
2.50
M-2.55
_? •_3P..
1.99_
1.67
1,49
--
!
i
i—
n
Clay Type: KAOLIMTE
Adsorbed Ion:'^
Remarks: Fully hydrsted
G5
RingNo.
IRadius j Order of
Intensity:i=.
^ Interplanar !
\Distance (h^) \
\ 7.15 i
2.00 4,41
3 ;2.11
i6 f 4,19
4 12,485 j 2 5,56
5 ! 5.43 : 7 2.57{
6 i_ 5.57
7' 5,82
7 1 2,50
4 !
1
2,34
8 : 5.395J_
8 2^50.. ..J
9^ . i. 4.63 1 9\ 1.99
i
ip__ [5.08J
9
1
1.79 j
11' 5.48
.-L.^"-. -._ 1
-- i
1
_ . ..4_
1,671
.12 : 6,20 5I
1,49!
Clay Type: KAOLIMITE
Adsorbed Ion: CA
Remark s : ^'v 1 ly h;y dra t ed
66
!Ring
INo.
; Rad5-usI
Order of• in cm. ! Intonsit^r
.:__ ii^ss J __ _ 1
i2.02 i 3
\ mterplanarIDistance (A°)
7.13:„-..-^
4 . 37
\ 3 ;2.135
; 6,
4-13j
i ^i
2,50I
2 3.54Ii
! 5 !
S,515: 5 2.54
1 6 3.b05j
5 2.48
i 7 3.865j
4i
2 * 32
'<
B 3.93 12,2@ j
! 9 L ^•^'^!
1,9S
|_ 10 1 5.125j
3 1.77i
1 i
I 11 5.525; 9 I 1.65 1
i 12 i 6,235 j 7 1.48 !
Clay Typo: KAOLINITE
Adsorbed Ion: NA
R eiTiark s : v en-dry
67
RingNo,
IRadius
j Ordor of\ Interplanar
I
in cm. ! Intonsity;Distance (ii°) I
Clay TyiDe: KAOLINITP.
Adsorbed Ion: K^
Remarks: Fijilly hydrvqtfd
68
jNo •
;Radius
j Order ofIin cm. I Intonsitv
'
j __ , ..."..
: Intorplanar !
(Distance (A°) i
t-
4
._^
.,-6..
JLO_
12
l.fS
2.085
7.15
...4-
_5^
\
2̂.51
4.22 i
.4^5— J
3^55 1
k
.-.. ._4-.
5,85i
i
[.
2.33
6.20 1.49
Clay T3'pe: KAOLIlvTTE
Adsorbed Ion: K
Remarks: Oven-dry
G9
RingNo,
.1.
3_
.A
5
I
Radiusin cm.
4Order ofIntonsity
1.^3 5I
2.01i
1
2.1
2.49
3.5C
_6
7
3j. 59___ !
3.84 1 4
8_
9
3.91!
-L-4.56
!
101
j
~
11i 1 -
--..12_ \6.23
I
5
! Interplanari
Distance (A°)
-4
7.13
4.3:
4.17
3.55
2 . 49
2.33
2.28
1.98
-^
1.48
Clay Type: KiVOLINITS
Adsorbed Ion: i^
Remarks: Fully liydrated
70
TYPICAL DIFFRACTION PATTERN OF ILLIT2 BEaRIWG SHALE
Illinois Illite Bearing Shale: As receivedand oven dried at llO^C. for 24 hours
Ring Radius Order of InterplanarNo. in cm. Intensity Distance (A°)
1 1.99 2 4.432 2.095 3 4.223 2.415 9 3.664 2.680 1 3.30
5.505 4 2.556 5.035 5 1.8047 6.03 6 1.5288 6.20 8 1.499 6.85 7 1.362
10 - ..
11 .— — ..12
i
1
~ "• ^
71
No.i Radius i Ordor of
ir.'uiIntens ity
1
234
5
1.9052.1452.272.552.99
o
7
89
10
4.395.425.057.10
11 _ __ _
12 _ _ —
..'Li"
2
41
6
i Intcrplanarstance
T lAll
5.034.514.283.723.36
2.482.142. CO1.82
Clay Typo: ILLITE
Adsorbed Ion: .i3-iu:ci:iV3:D
Romarif s
;
?ully hyirated
RingNo,
.1.
2
IRadius
+m cm.
Order ofIntensity
1.395 I
f
! Interplanar!Distance (A^)
•^.42
3.
4_
_5_
2.05
£.36
4.31
! 2,525j
8_
10
4. r-
7:. . 38
b.OO
15
5.92
6.08
-f-o
8
1,81
1..55_
1.52
6.72 1,38
Clay Type: ILLITE
Adsorbed Ion: H
Remarks: Oven-dry
73
Ring ! Rad5.us' in cm.
Order of\ Interplanar !
Intensity | Distance (a°)j
2.
7.!
r
4 , on
.26
8_
_10_
13
' 2.64 J 1
__!3.455 I 2_
- .__ - 5 .62j ^_
__l _ijdi^__4_ -__^
2.58
2.47
_4.555_^
4.99
5.97
_6._15
3.77
.4--4
7
5
3
2_^5_
_1_.>99_
1.82-A
1.54 j
1.5!
1.58
Clay Type: ILLITF
Adsorbed Ion:
R oinark s : F"" 1 11y 'ay dr.-) ted
74
\Kins
^ Ko,
12o4
5
5
7u
910111213
Radin
ius I Order ofcm.
iIntensi ty
2.
2.
2.
4.
4.
1526
i 5
99 I
145 i
41i
45 !
125 I
7.15i
4
1
3
j
Intcrplanari Distance (A^ )
4.504.29
3.362.592.472.141.991.84
._.,x., _^_
Clay Type:
Adsorbed Ion:
Romarlrs
:
ILLITECA
Oven- dry
75
I Rins!
"~1
Radiusj
Order of Intcrplanar ;
\ Wo. in cm,j
Intonsity Distance (A^) i
! 1 1.895 6 5.062 2.13 2 4.545 2.25 4.324 2.635 3 3.755 2.96 1 3.396 4.12 4 2.607 4.385| 10 2.488 5.48 i 9 2.149 5.11
111 1.99
1 10 7.11 ! 8 1.821
^^ —
12 — — .•..
13 i _i J[ ^_^ i_ m V •— .w. ....,«• ... .1 « « . .
Clay THrpe:
Adsorbed Ion:
Remarks
:
H.-^ITE
j\ii ly Iiy ar-a ted
76
Rinc
h-No,
i
.1
i 21
1
1
1
3
A
IRadius
Jin cm.
1.9
I
Order ofi IntGnsity
Interplanar !
Distance (A°)|
4.43
2.08L
4.24•T
5 ; ~ —J . „.
6... . L 5.49 !4
!
i T1
8_
_10_
13
5. 045.,._L...
5.02
6. IS
5.82 7 1.37
1.801
1
1.53j
1.49i
Clay Type:
Adsorbed Ion:
Remarks:
luLITE
KA
OYea-'lry
77
Rin3No,
jRadius Order oftin cm.
iIntensi ty
j
Interplanar !
i Distance (A^) I
1
234
56789
101112
2.145!2.265
2.995i4.159
7.13 i
3
1
4
4; 524.31
3.362.59
1.33
Clay Typo
:
Adsorbed Ion:
Remarks
:
"ully hydra ted
78
RinjWo,
RadiUvSin cm.
Order ofjIntcrplanar
! Distance (a'^)
1
234
5o
7
89
101112
i
1.90! 2.125
j
2.235• 2.63
I
2.965I
^.105
I
4.39 j
j
5.44 !
i 5.115I
* 7.115 I
o
2
5314
109
127
5.034.554.343.753.352; 602.482.141.991.82
Clay Type:
Adsorbed Ion:
Romarl's
:
ILLITE
Oven-dry
79
InterplanarDistance (a°)
j
15 6,77b 1.58
Clay Type: ILLITE
Adsorbed Ion: ^
Remarks: FuIIa/ hydrsted
80
81
Figure A. Extruding device shov/lng extruded sample
mm
Figure B. Plastic capillary tubing showing:Tube with forming wire partially v/ithdrawn.Plastic tubingPlastic tube, filled and sealed by heat.
Tubes are of 0.5 21m inner diameter.
82
V-»
.?
r
Figure A. Bradfield three cell electrodialyzer
Figure B. X-ray tube and pov/der camerasleft - Flat cassette and baseright - Debye-Sherrer powder camera
83
\
V
I
'r
L^'
^
r
•J
^k Vi
^:?
'^ Kkl f > (.-,
?i
-)
•^<
>^ ,^
q'f^ k
"0 M.^^ <>
-^
^ ^04-.
^s^NV)
O
SAMPLE COMPUTATIONS
Ijcbyo-Shorror powder canora:
84
2sin(9££)Vr
where n - order - 1
> s wave length r 1.54 A'^
Z z radius of diffr;iction ririfj; in question
r z canera radius - 5.7 cm,
d 3 Intorplanar spacin^j in A^,
for as-received Kaolinite - oven dri^j: -,^1,226 cm,
- 7.18 A°.1 1 X 1.54 A^^ool =
2 sin( 90xl.;:^'P5 cm . ^
^x 5.7 cm.
Flat Cassette Camera;
d T - ^ >-
2 sin (tan-1^)S
whore s - distance from sample to film :; 6,0 cm.
For as-rocoived Bentonito-oven dry VqoI ~ 0,695 cm,
c] ^ _ 1 X 1.54 cm,^ool =
-8
2 sin (tan-1 0«695 cm. x
6.0 cm.
= 15,38 aO
I
85
REFERENCES
1. Moycr, C.F., "The Dirfraction of Lit^ht, X-rays, andIlatorial Farticlos", First Edition, University ofChicago Press, Chicago, Illinois, 1934.
2. Jonkins and ''/h.ite, "Fundamentals of Physical Optics",First Edition, Now York, McC-raw-i-Till , 1937.
3. Bragg, 'V.L., "Atomic Structure of Minerals", CornellUniversity Press, 1937,
4. Hanawalt, J.D., Rinne, H.\7. , and Frevel, L.I'I. , Ind.and 'un;2» Chor.istry, Anal. Ed., vol. 10, pp.457ff., 1938.
5. Loddcsol, Aasuluv, "Factors Affecting the Amount ofElectrodialyzable Ions Lib orated Fror.i Some Soils":Soil Sci. Soc. An. Proc, vol. 33, op 187-211.
6. rilcav/l^y, E.J., Unpublished notes on Clay Minerals.
7. Buswell, A.'^I., and Dudenbostcl, i<.F., "SpectroscopicStudios of Base-exchange Materials": An. Chen. Soc. Jour
.
,
vol. 65, Tip, 2554-2558.
8. Schieltz, LJ. Cyril, "X-Ray Analysis", S^Tiposiun on Sub-surface Creological Methods, Second -]dltion, ColoradoSchool of Minos, pp. 211-240.
9. Ennis, '"'.D. and Hufft, J.C., "An Investigation of theEffect of Ionic Substitution on the Attcrborg Plas-ticity Constants of Certain Clay Minerals", RensselaerPolytecimic Institute, Troy, t;ew York, 1951,
10. 3eu, Iv?'rl E., "Iniproven(;nts in a Method for PreparingPlastic Fowdor-Sanple Capillary Tubes", The Review ofScientific Instruments Monthly, vol. 22, Ho. 1, p. 62,January 1951,
11. Mull, A. ''/., "a New Method of Cnv^mical Analysis", Amer-ican Chemical Society Journal, vol. 41, pp". 1168ff., 1919
12. Barshad, J., "The Effect of the Interlayer Cations onthe "iJxpansion of the Mica Typo of Crystal Lattice",American Minerologist , vol. 35, pp. 225ff, 1950.
13. Brocky, S, , "F,T I. News'', Pittsburgh Testing Labora-^. c^ ri .-.: s , P 1 ^ t s I. u:" gh'. , F ( ;nn sy 1 vani a
,
86
14. Aldrich,'T
I
Aldrich, D.C, Hcllrian, ?1.:t., .-.nd Jackson, I,;.L.,
'Kydratlon Control of Nontnorillonite as RoquirGd forIts Identification and Estimation by X-ray DiffractionI'lethods", Soil Science Soc. i-un, Proc, vol. 57,pp. 215ff., 1944.
15. Bradley, ^7, P., "Diagnostic Criteria for Clay Minerals",T'le Ancrican Minerologist , vol, 30, pp, 704ff, 1945,
16. Hendricks, S,3., Nelson, R.H., and Alexander, L.T,,"Hydration Mechanism of the Clay I-ineral ?^ontraorillonitoSaturated with Various Cations", aiti. Chem. Soc, Jour,,vol. 6?., pp. 1457ff., 1940.
17. r.ac'Jwan, D,II,C., "Goriplexes of Clays with OrganicCompounds", Tran. Farad. Soc, vol, 44, pp. 349ff,, 1948,
18. MacE^van, D.M.C, "T'lo Id(.3ntification and •']stination of theMontriorillonite vroup of Minerals '-vith Special Heforencoto Soil Clavs", Jour. Soc. Caen. Indus,, vol. 65,pp. 208ff., 194S,
10. Marshall, C'l. , "Colloid Clienistry of tVie SilicateIv;ino ral s ^'
, Xc adeni c Press In c . , lie v; York , 1949,
20. Jackson, ?J.L. and Hellnan, II. N., "X-ray Diffraction Pro-cedure for Positive Differentiation of MontmorillonitoFrom Hydrous I.Iica", Soil Sci. Soc. kh. Proc, , vol. 6,pp. loSff., 1941.
21. Ross, C.S., und Ecndricks, Sterling 3., "Ilinerals o£ the'./lontnorillonite Group", i:ioological Survey Professional ^
Paper 205 3, U. S. Preological Survey, 1945.
I
The!DlSl
Tl
of
15620Thesis DearthD188
The identification and in-
vestigation of the expansioncharacteristics of clays "by x-raydiffraction.
r. 'J.
U. S. Naval Postgraduate School
Monterey, California