Application of infrared spectroscopy to the determination...

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Jou rnal of Researc h of the Na tional Bu reau of Standards Vol. 53, No. 4, October 1 954 Research Paper 2533 Application of Infrared Spectroscopy to the Determination of Impurities in Titanium Tetrachloride 1 Rolf B. Johannesen, Charles 1. Gordon, James E. Stewart, and Raleigh Gilchrist The infra red spe ct rum of pu re titan ium tetrach lo ride was meas ur ed in t he range of 2 to 15 microns an d by addin" known amou nts of cert ain s ub stanc es, it was possib le to id ent ify the likely to be found in refin ed titanium tetrachloride a nd to establi sh thei r' li mits of d etect io n, The appli cat ion of i nfrar ed spectroscopy mad e po ss Lb le a sensitive method of fo ll owing th e process of purificat ion of the tet rachlorid e. 1. Introduction Att empt s to fasten th e rock-salt windows to the In pr eparing titanium te trachloride of high purity for fundam ental research, it is necessary to be able to determin e the over-all purit y of the final produ ct and to identify as well as to determine, the remaining impurities. As th e total amount of impurities will be mall, one must use methods that are far mor e sensitive than ordil1ll.IT chemical test s. To t hi s end a numb er of physical methods ma)' be emplo:v:ed, nam ely, the freezing and melLing bebavlOr of th e sub stance, from w'hich Lhe over-all purity can be comput ed ; emi ssion and absorpLion spect ro scop)' in ultravi olet, visible, and infrared. This pap er describes th e infrared absorp! ion spectrwl1 of t i tan ium tetrac hloride, the off ec t of ee rtain impuriti es on the spec trum , and some tech- n iqu ee found useful in bandling ti ta nium t eL ra- chl oride. 2. Spectrophotometer Cell The hiah reactivity of titan iu m te trachloride wiLh moisture'" and wiLh 'many organic compounds pre- sent ed special problems in tb e d es ign and use of a suitable cell for holding the liq u id during meaSUl'e- ment. Th e most desirabl e ce ll wou ld have been one constructed entir el)T of gla ss transpar en L to infrared light , capabl e of being evac uat ed, fill ed bv t ransfer in a hi gh-vacuum system. Pra ctICally , it was necessary to use the cusLomary rock-salt windows on a body of glass. Because the beam of radi ati on of the spect rophotom eter (Perk Ill-Elmer , mod el 21 ) co nv erges in passing through th e sampl e, the cell was made in the shap e of a t run cate d con e. Two ty pes of cell 'were co n st ruct ed, one Ivi th a long optical p at h, useful in the range ?I Lo 9Aj.L , and one Ivitll a short optical pa th , useful 111 Lhe range of 9Aj.L to 15j.L . 2.1. Cell With Long Optical Path Thi s cell depicted in fi gure 1, was mad e from a 125-ml Hask by c utting off th e bottom and a part of th e n ec k. The fi.r st cut wa s made perpendi cular to the axis of th e fifl,sk at . a pomt wh ere the di ameter was shghtly less tha n 2 Jll: Th e second c ut was mad e parall el to the fir st at a di stan ce of 50 mm . The cu t edg es WE'r e ground Hat so that the di stance between them was from 47 to 49 mm, and wer e within 1 degree of being parall el. I Financial s UIJpo rl of thi s work was fu r ni shed by the Melallur gy Branch of t he Office of Na "al Research, D epa rtmen t of th e Navy, Washlllgton 25 , D. C. glass cell by pr essur e, using pol yethylene or poly- tet rafiuoroeth)'lene gaskets, 'were unsuccessful. . Th ese gasketing mat erials were so hard that the wmdows could n ot be pr essed tightly enou gh to pr event withou t cracking the ro ck salt. . Po lychl orotn- Hu o J' oe th.dene wa ' proved ' wo J'k abl e, but it was so luble in the teLraclllo rid e. The probl em was solved very simply by eealing th e rock-saIL to the cell bv means of a plast iciz ed cellulose llltrat e cem E'nt (Du co). Thi s wa done by coatin g the ends of the ce ll with the cem ent and pr essing the windows against th em.. After a short se tting period, the outside of each seal wa s coaLed with the cement, and l at er again coaLe d. AfL er allowing the cemE' nt to dry thoroughl)T , for a peri od .o f 48 hI', the cement Ivas found to be inert to th e t l. Lam um te trachlond o and co uld be left in co n tact wi Lh iL for man y days withouL causing visible chan ge, or adding any absorption bands to th e spec Lrum . Th e only prec aution n ecesslc Lry, oth er than to allow ampl e time foJ' dl'lT inO' was to k ee p t he cement Oll t of the pa Lil of the' beam . A di st inct advantage of Lhi s method of was that the cell cou ld be taken apart for cleaning and for repolishing of th e wind 'N , fl,nd th en .re- assem bl ed wit hout alt ering the lens th of the optIcal path. Thi s was accomplished by soaking the cell in aceLone. A FI GURE 1. Ct· oss section 0/ 50-mm cell. Al Ce ll hol de r fr ame; B) sodium chl oride C, glass cell ; D , sodi um chloride window; E, clamp ring. 197 314715- 54--1

Transcript of Application of infrared spectroscopy to the determination...

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Journal of Research of the National Bureau of Standards Vol. 53, No. 4, October 1954 Research Paper 2533

Application of Infrared Spectroscopy to the Determination of Impurities in Titanium Tetrachloride 1

Rolf B. Johannesen, Charles 1. Gordon, James E. Stewart, and Raleigh Gilchrist The infra red s pectrum of pure t it a nium tetrachlo ride was measured in t he range of 2

to 15 mi crons an d by addin" known amou nts of certa in substances, it was possible to identify the c~mmo;l ij-npur i ti e~ likely to be found in r efin ed t itanium tetrachloride and to establis h thei r' li m it s of detectio n, The appli cation of infrared spectroscopy made possLble a sensit ive method of foll owing th e process of purification of t he tet rac hlorid e.

1. Introduction Attempts to fasten the rock-sal t windows to the

In preparing titanium tetrachlorid e of high purity for fundamental resear ch , it is necessary to be able to determine the over-all purity of the final product and to identify as well as to determine, the remaining impurities.

As the total amount of impurities will be mall, one must use methods that are far more sensitive than ordil1ll.IT chemical tests. To t his end a numb er of physical methods ma)' be emplo:v:ed, namely, the freezing and melLing b ebavlOr of the substance, from w'hich Lhe over-all purity can be computed ; emission spectroscop~' and absorpLion spectroscop)' in ultraviolet, visible, and infrared.

This paper describes the infrared absorp! ion spectrwl1 of t itanium tetrachloride, th e offec t of eertain impuriti es on the spec trum, and some tech­n iqu ee found useful in band ling t itanium teLra­chloride.

2. Spectrophotometer Cell The hiah reactivity of ti tan ium tetrachloride wiLh

moisture'" and wiLh 'many organic compounds pre­sented special problems in tb e design and use of a suitable cell for holding th e liq u id during meaSUl'e­ment. The most desirable cell would have been one constru cted entirel)T of gla ss transparen L to infrared light , capable of being evacuated, an~ fill ed bv transfer in a high-vacuum system. PractICally, it was necessary to use th e cusLomary rock-salt windows on a body of glass. Because the beam of radiation of the spectrophotometer (Perk Ill-Elmer , model 21) converges in passing through the sample, the cell was mad e in the shape of a truncated cone. Two types of cell 'were constructed, one Ivith a long optical path, useful in the range ?I ~j.L Lo 9Aj.L, and one Ivitll a short optical pa th, useful 111 Lhe range of 9Aj.L to 15j.L.

2.1. Cell With Long Optical Path This cell depicted in fig ure 1, was made from a

125-ml Erl~nmeyer Hask by cutting off the bottom and a part of the neck . The fi.rst cut was made perpendicular to the axis of th e fifl,sk at . a pomt wh ere the di ameter was shghtly less than 2 Jll: Th e second cut was made parall el to the first at a distance of 50 mm. The cu t edges WE're ground Hat so that the distance between them was from 47 to 49 mm, and were within 1 degree of being parall el.

I Financia l sUIJporl of this work was fu rnished by t he Melallurgy Branch of t he Office of Na"al Research , D epartmen t of the Navy, W ashlllgto n 25, D. C.

glass cell by pressure, using polyethylene or poly­tetrafiuoro eth)'lene gaskets , 'were unsuccessful. . These gasketing materials were so hard that the wmdows could not be pressed tightly enou gh to prevent leal~s wi thou t cracking the rock salt. . Polychlorotn­HuoJ'oeth.dene wa ' proved 'wo J'kable, but it was soluble in the teLracllloride. The problem was solved very simply by eealing the rock-saIL wi~dows to the cell bv means of a plasticized cellulose llltrate cem E'nt (Duco) . This wa done by coating the ends of the cell with the cement and pressing the windows against them . . After a short setting period, the outside of each seal was coa Led with the cemen t, and later again coaLed. AfLer allowing the cemE'nt to dry thoroughl)T, for a period .of 48 hI', th e cement Ivas found to be iner t to the t l.Lamum tetrachlondo and could be left in con tact wi Lh iL for many days withouL causing an~- visible change, or adding any abso rption bands to th e specLrum. Th e only precaution necesslcLry, other than to allow ample time foJ' dl'lTinO' was to kee p the cement Oll t of the pa Lil of the ' inf~~red beam.

A dist inct advantage of Lhis method of a ssembl~­was that th e cell could be taken apart for cleaning and for repolishing of the wind 'N , fl,nd then . re­assembled without altering th e lens th of the optIcal path. This was accompl ished by soaking th e cell in aceLone.

A

FI GUR E 1. Ct·oss section 0/ 50-mm cell. A l Cell holder frame; B) sodium chloride WiDd o\\~ ; C, glass cell ; D , sodium

chloride window; E, clamp ring.

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Diametrically opposite sidearms were sealed close to the large end of the conical cell. The sidearms ended in standard spherical joints to which were fitted filling tubes and stopcocks.

The support and holder for the cell was composed entirely of brass and consisted ofaX-in.-thick plate, 2 by 3 in., with edges milled to fit the Perkin-Elmer spectrophotometer cell clamp, at the center of which a hole, 1%6 in. in diameter, was cut. Four X-in.­posts , 3X in. long, and threaded at the upper ends, permitted a }~-in.-thick ring, 1% in. in inside diameter and 2% in. in outside diameter, to be pressed against the cell by four nuts with springs under them , when the cell was i.n position with the small window against the hole in the base plate.

2.2 . Cell With Short Optical Path

The thin cell was constructed and assembled as sho·wn in figure 2. The spacer, C, "vas made from polytetrafluoroethylene sheet of 0.25-mm thickness.. This was cemented between the two rock-salt windows. Two holes were drilled in window D, over which were cemented two filling tubes, F. Each filling tube had a slightly expanded diameter just inside a blind stem, which was inserted in one of the alining holes in the clamp ring, G. These filling tubes must have flat ends in the same plane. This was accomplished by inserting four filling tubes in the four inner holes shown in the ring at G, and lapping them on a plate with fine emery. The two extra tubes were necessary to prevent rounding of the ends of the t·wo to be used. By sealing a spherical joint on the end of each of tubes F, the thin cell could be mounted and filled in a manner identical with that for the large cell.

3 . Method of Filling the Cell Procedure A. To fill the cell with freshly distilled

titanium tetrachloride, the arrangement depicted in figure 3 was devised. With tube B closed with a

O@Q:"" ~ (~o' 0 E~~~'O "- ""

'F F 00;: ~ ~, . 0

G ~ ~

FIGURE 2. Thin cell (chamber thickness equal to thickness of spacer 0).

A, Frame; B, window; C t spacer; D, window with filling holes; E, cell clamping ring; F , filling tubes; G, filling tube clamping ring (also fitting tube grinding jig) .

rubber stopper, the system was evacuated to a pressure of 5 mm of mercury through a 2-way stopcock attached to joint L. Dry nitrogen was then admitted through L to a pressure of 1 atm. The system was evacuated and filled with nitrogen 4 or 5 times, after ·which dry nitrogen was admitted to a pressure of 1 or 2 mm above atmospheric. At this stage the rubber stopper at B was removed, and the nitrogen allowed to flush through the system. While the flow of nitrogen continued, about 75 ml of titanium tetrachloride was poured in through the sidearm, B, which was subsequently sealed with a flame, the flow of nitrogen being stopped as the sealing operation was completed. The system was then evacuated to a pressure of 120 mm and this pressure maintained by means of an adjustable leak at the pump.

The titanium tetrachloride in flask A was warmed gently to boil out dissolved gases. After the tetra­chloride refluxed for a short time in section C, it was distilled slowly. It was important that the distillate be k:ept cold at all times to prevent its condensation on the walls of the bell jar. The liquid distillate, caught in funnel E , quietly ran into the cell. When the cell was full, the distillation was stopped, and flask A was cooled with tap water. Finally, dry nitrogen was admitted to the bell jar, the bell jar removed, and the stopcocks of the cell closed.

Procedure B . In determining the effect of im­purities, the cell was filled by suction. To accom­plish this, the portion of the apparatus in figure 3

B

D A

L

FIGURE 3. Apparatus for filling cell. A, Distilling flask; B, filling tube; C, reflux condenser; D, delivery condenser; E ,

receiving funnel ; F, filling side-arm; G, stand; H, cell holder with cell; I, vent· ing side-arm; J, rinsing side-arm; K , bell jar; L, connection to vacuum and nitrogen.

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labeled F , G, H, and I was used . A two-way stopcock attached to vent tube I permitted air and moisture to be displaced from the cell by a current of helium. Reversing the stopcock allo'wed a sample of t itanium tetrachloride to be drawn by vacuum into the cell through a glass tube attached to filling tube F. When the cell was filled , the stopcocks were closed, and the spectrum could be measured at once. After the measurement was completed, the titanimn tetrachloride was blown into a waste flask by pressure of dry helium , and the cen was rinsed with three portions of dry carbon tetrachlorid e. The last drop of carbon tetrachloride rinse was evaporated in a stream of helium. The cell could then be refilled as described above. Bands of carbon tetrachloride weTe never found in the spectrum.

4. Infrared Spectrum The absorption of infrared radiation was measured

in che range froni 2 to 15 Ji. by means of a P erkin­Elmer model 21 double-beam recording spectro­photometer.

The titanium tetrachloride here involved was first chemically r efined by W. Stanley Clabaugh, and then further purified by distillation in a highly efficient column by Robert T . Leslie of the Bureau. Descrip­tion of the methods used will be given in a separate paper. '1'he best titanium tetrachloride used in this work had an overall purity of 99.9991 mole percent, as measured by George T. Furukawa, of the Thermo­dynamics Section of the Bureau, by analysis of the melting curve. The spectrum of pure titanium tetra­chloride appeared to be quite simple, showing only six broad absorption bands in the region from 2 to 15 Ji. . Table 1 shows the location of these absorp­t ion maxima and their absorbance indices.

The infrared spectrum is given in flgure 4. The weak absorption at about 3 Ji. arises from

titanium dioxide deposited on the cell windows, and the weak sharp lines near 6 Ji. are produ ced by un­compensated atmospheric water vapor. The weak sharp doublet near 3.5 Ji. is due to hydrogen chlorid e (abou t 12 ppm), ~which was not entirely eliminated in filling the cell.

Infrared absorption spectra were measured for commercial samples of titanium tetrachloride as received and at successive steps in the purification process. Certain absorption peaks, present in the crudest material, disappeared from the spectrum after a simple distillation. No attempt to identify

>, FIGUR E 4. Infr ared spectrum oj titan­ium tetrachloride.

Curve A, lmeasured in 50-mm cell; cur ve B, measured iu 0.25-mm cell .

f-

~ 80 u 0: w a. W 60 u z ~ f- 40 ,. <J)

'" <t 20 0: f-

o

4000 3000

2 3 4

T ABLE 1. Infra/'ed spectrum of ti laniwn letmchloride

Absorbance Absorption bands ind ex, a

I' cm- t cm- 1

6. 76 1, 479 0. 058 7.35 1, 361 . 125 7.94 1,259 . 033 9.00 1, Jll . 056

10.20 980 19.0 11. 16 897 Should er 11.44 874 J9.8

------1 foil.

a- blOg]

a T'hc symbols llsed arc defined in "Spectro­photometry," N BS Oir cular 484, Sept . 15, J949.

these peaks was made. Certain other peaks persisted, the wavelengths of which could be associated with

'" specific molecular groupings (c. g. , C = O, H - CI). /

The nature of the likely contaminants could be in-ferred from these peaks. Table 2 lists the absorption peaks and limits of detection of substances found to be persistent contaminants, or 0 reported in the literature.

TARLE 2. Charactm·istic i nfraj·ed absoT)Jtion peaks and limits of detection of common impuriti es in titanium tetrachloride

Impu rity

Hydrogen chloride, H OL ________________ _ Oarbon dioxidr . 00,. ___ ___ . _____________ _ Vanad ium oxyt r ichloride, VoOI,. ________ _ Phosgene, OOO!, .. _ .. ___ _ .. ____ __________ . Ohloroacetyl chloride. OIOH,OOOL .. __ ._

Dichloroaeetyl Chloride, OhOHOO OL ___ _ ' I'riehloroacetyl chloride, 01,00001.. ____ _ Silicon tetrarhloridr , SiOk ____ .. ________ _ Hydrolysis prod uct. ____ ._. ______________ .

,"Vavr!cnglh of pe~k

" 3.53 .1. 30 4.84 5.51 5.55

5.55 .5.55 8. 14 8. 45

Limit of detection

ppm 2 ?

40 abouL 2

0. 5

1 0.5

200 ?

No effort was made to ascertain the limits of detec­tion for carbon dioxide or hydrolysis product, be­cause both of these substances could be eliminated by a single careful distillation in an inert atmosphere or in a high vacuum. Quali tativcly, the sensitivity was high as shown by the rapid incr ease in absorp­tion at these wavelengths when the sample was ex­posed even briefly to ordinary air.

The limit of sensitivity is not good for either vana­dium oxy trichloride or silicon tetrachloride by this method. Spectrophotometry in the visible region

WAVENUMBER I em-I

2000 1600 1400 1200 1000 900 · aoo 700

B

A

5 6· 7 a 9 10 II 12 13 14 15 WAVELENGTH, MICRONS

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showed an intense absorption by vanadium ox,vtri­chloride at 390 mM, which caused a visible yellow color in concentrations as low as 1 ppm. Silicon rompounds were determined by emission spectros ­copy of an aqueous solution of the titanium tetra­chloride, since infrared spectropho tometry proved too insenlOitive.

It is believed that this is the first time that chlo­rinated acetyl chlorides have been identified as per­sistent contaminants in commercial titanium tetra­chloride. In very dilute solution, the three chlorides are indis tinguishable spectl'ophotometrically. At somewhat higher concentrations (5 ppm), chloro­acetyl chloride was found to have a second peak at 5 .64 }J., which was abou t one-fourth as intense as the peak at 5.55 M; dichloroacetyl chloride showed a second peak at 5.64 M of the same intensity as that at 5.55 M. Trichloroacetyl chloride showed no secondary peaks in this range of concentrations. Whereas solu tions of mono- and dichloroacetyl chlo­rides in titani.um tetrachloride rapidly t urn yellow, a solution of trichloroacet.yl chloride (bp, 118° C) at a concentration of 0.1 percent (1,000 ppm) remains colorless for at least a week.

At no time in the course of these experiments was the characteristic hydroxyl absorption band at about 2.8 M observed . Apparently the reaction of titanium tetrachloride with small amounts of water does not y ield Ti (OH)Cb, but instead a compound with a

'" I I Ti = O or - Ti- O- Ti- linkage must be formed ,/ I I rapidly and completely on hydrolysis.

5. Vibration Spectrum of Titanium Tetrachloride

Except for the very early work of Marvin [1],2 there has been no infrared absorption spectrum reported for titanium tetrachloride. Numerous observ3,tions [2 to 8] of the Raman spectrum have established values for the fundamental vibrations, tabulated in table 3, and Rumpf [9] has reported ver~~ weak Raman lines, which perhaps ;;orrespond to harmonic or combination vibrations at 631.5, 784 .5, and 926 em - I, although these lines might arise from hydrolysis products .

T ABLE 3. Ftmdamental vibrations ,[Tom the Raman spectrum

Worker and year _I v,(a, ) I -.:~~.:J~!:J ,, (f,)

cm- 1 cm- 1 cm-i cm-1

Daure [2] 1928-. .................. .... .. . 385 113 490 134 D aure l3] 1929 ........................... 390 120 500 140 'frumpy [4] 1930 ........... __ ........ ~ ... 386 119 491 139 Bhagavantam [5] 1930 ................... 382 120 494 145 Cabannes and Rousset [6] 1933 __ .. __ .. __ 385 120 497 144

D elwaulle and Fran~ois [7] 1945 ______ . ~~ 389 120 { 490 140 506 Average values given by Kohl rauseh [8] . 386 120 495 14l

:Marvin's spectrum, which extended from 2 to 16 M, excluded the fundamental region which lies beyond 20 M (below 500 cm- I ). H e reported bands at about 3160, 1610, 982,875 , and 822 cm- 1 with considerable

, F igures in brackets indi cate tbe lite rature references a t the end of t his paper. ,

uncertain ty, because of t.he doubtful sodium chloride dispersion data at his disposal. His sample was evidently quite impure.

Ti tanium tetrachloride has the symmetric tetrahe­dral structure [101 of point group Td • Its funda­mental vibrat ions are divided into symmetry species as follows: 1al + 1e+ 2j2' Only the two triply degenerate f2 fundamentals are infrared active, but all are Raman active. Higher vibrational trans i­tions must contain a component of species F2 in order to be infrared active and a component of species AI , E, or F2 to be Raman active. Table 4 contains frequencies and assignments for bands observed in the present work and also for the three Raman lines reported by Rumpf. The frequencies given by Kohlrausch arc used in calculating expected frequencies.

TA f1 LE 4. A ssignment of vibrati on fr equencies of titanium tetrachloride

\,r ave number __ ~~=-_I " mm.'" ,~"" ~~x~rclCd I Obsc n 'cd '

V3(f,)+v,(f, ) ______ 1 A,+E+F,+ F', ---- __ .~. 2vl(a, ) ____ ______ . A I .... ______________ ~.~. v,(a, )+V3( h). _. __ F, _________ ~ _ ~ __________ . 2vl(a, )+v,(e) . ____ . E __ ________ . __________ __ 2vl(a, )+v,(J,) _. __ . F , __________ ... __ ______ __

em;;" I 63 I e~,-I(R) 772 784.5 (R ) 881 874 S 892 R97 M. SH 913 92(; ( R )

2v') (h ) __ . _______ .. _ A ,+ E+ P, __ . __________ . 990 980 S ,,(P)+2V3(f,1.. ____ A I+.IJ,+ 2E+F,+ F', __ .. 1, 110 1, 111 VI\, 2v ,(a,)+v:,(!:) _... F , ____________ __________ . v'(a,)+2,,,(h) .... A ,+E+F, __ ~ __________ . ~V 3 (!z) ________ . ___ AI+F,+ 2F',~ __________ .

1, 2" 7 1,259 V \\-1,376 1,361 V \\' 1,485 1,479 VI\'

a(R ), Ram~n line; S ~ strong; OM, rllcdiu m; V\-V , very \v"oak ; SR , should01'.

The agreement between observed and calculated frequencies seems good in view of the uncertain ties in the original Raman data. The two strongfst bands in the infrared spectrum are assigned to the only two binary vibrations expected in th is region. No bands assignable as difference combinations were observed, and no quaternary combinations were observed. 2"1 + "2 (897 cm- I) is of species E and should be infrared inactive. However, normally inactive bands are sometimes observed in spectra of liquids because of the perturbations produced by neighboring molecules.

6. References [1) H. H . Marvin, Phys. Rev . 3<1,161- 186 (1912). [21 Pierre Daure, Compt. r end. 187, 940- 941 (1928) . -< [3) Pierre Daure, Ann. phys. [10112, 375- 441 (1929). [4) B. Trulllpy, Z. Physik 66 , 790- 806 (1930) . [5) S. Bhagavantam, Indian J . Phys. 5,35- 48 ; 59- 71 (1930);

7, 79- 86 (1932). [6] J. Cabannes and A. Rousset, Ann. phys. [10)19,229- 303

(1933) . [7] Marie-Louise Delwaulle and F el ix Fran90iE, CO 'llpt. rend.

220,173- 174 (1945); J. Ph ys. Radium [8] 7, 15- 32 (1946) . K

[81 K. W. F. l(ohlrausch, Del' Smekal-Ra'nan Effekt, Erganzungsband (Julius Springer, Be r lin , 1938 ; Edw3~rds Brothers, Ann Arbor, Mich., 1944, p . 146).

[9] Marie~Elisa P. Rumpf, Compt. rene!. 202,950- 952 (1936). [10) G. Herzberg, Infrared and Raman spectra of polyatomic

mol ecules (D. van Nostrand Co. , In c., l\ew York , N. Y., 1945).

WASHINGTON, April 30, 1954.

200