~omichigan - dtic · the crystal used in this investigation was obtained from the harshaw cherical...
TRANSCRIPT
~oMICHIGAN STATE UNIVERSITY
Contrt r N0C014-68-A-0109-0003
-R 014 - 203
Technical Report No. 8 (33)
THE RAMAN SPECTRUM OF CRYSTALLINE LITHIUM NITRATE
by
R. E. Miller, R. R. Getty, K. L. Treuil, and G. E. Leroi
(Subff.tted for publication in the Journal of Chemical Physics)
OT
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October, 1968
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THE RAMAN SPECTRUM OF CRYSTALLNE LITHIUM NITRATE
by
R. E. Miller, R. R. Getty, K. L. Treuil and G. E. Leroi
Department of Chemistry, Michigan State University, East Lansing, Michigan 48823
(Received October 1968)
ABSTRACT
Polarized Raman spectri of an anhydrous single crystal of LiNO3 have been
obtained under optimum experimental conditions. The internal vibrations ofthe nitrate ion are observed as follows: v (Eg) = 735.4, V1(A19) = 1071. 0 and
V3(E ) = 1384.6 cm .these frequencies are essentially independent of the
cation in the host lattice. The two raman-active (E ) lattice modes have beeng
located and assigned to primarily translational (124. cm - 1) and librational
(237.2 cm -1) motions. No indication of coupling between these vibrations is
observed. The frequencies of the external vibrations relative to those of
NaIO 3 demonstrate that they are dependent on the volume of the crystalline
unit cell. Except for small intensity contrbutions in some orientations
which are probably due to depolarization effects in the birefringen" crystal,
the polarizability activities of both the internal and external modes follow
the expected symmetry selection rules.
INTRODUCTION
10rman scattering has been observed from LINO in the solid, 1 melt, 2
and solution, 3 and tne results discussed by several authors. - 5 However, there
have been no reported attempts to conduct a polarization study of an anhydrous
single crstal, or to locate the Raman-active external lattice frequercies of
the solid. Lithium nitrate crystallizes in the calcite structure (D space
33group) with -the nitae ions occupying L3 sites 3nd the lithium ions S 6 sites.6
Thus five Raman-active fundamental vibraticns arme expected. 7 Three are attributable
to internal vibrations of the nitrate ion: v I(A19), 3(E ), and v4(Eg); the
previous results for these vibrations in the various phases cf LUNO 3 have been
summarized by Bues. 2 The remaining Raman fundamentals are E external (lattice)g
oscillations. The normal modes of tie lattice vibrations were depicted in our8
previous work on NaNO3 ; for convenience they are reproduced in Fig. 1. Although
one of the vibrations is translational in character and the other librational,
since they have the same symmetry mixing is allowed. It would be interesting
to know whether the nature of the cation affects the degree of mixing, which8
was found to be undetectable for sodium nitrate.
The Raman frequencies for NO3 internal modes in the solid, melt,
and solution for a seri-s of alkali nitrates have been compared by Bues,' who
interpreted the small shifts in the symmetric stretching frequency v, (less
than 4%) according to a "free volume" ,model. Even smaller frequency differences
were noted for v3 and v4, and it was argued that these motions should be less
sensitive to the packing of the envirorment. However, it was also shown that
the internal frequencies in LINO3 are quite dependent on tha atount of water
present and the physical state of the saple. 2,3 If the solid samnles used in
-2-
'he early studies were not of the hi"hest quality, for example because of the
extr el - hy ':-pi - .: ture of lithium nitrate, ircorrect frequencies would have
been observe, fr the crystal. This would significantly affect the hypothesis
formulated to P:lain the small frzquency shifts in the NO3- vibrations with
change in cation.
Anomalous polarizat. )n intensity ratios for the Raman bands of crystals
with the calcite struct-re hve been Zenerally observed, and interpreted for9 8
CaCO3 and HaNO3 as being pri EL;Uy due to depolarization of the incident and/or
scattered light in the optically anisotropic crystals. Since the ratio of the
molecular refractivity, a measure of birefrigence, is almost the same for- sodium
and lithium nitrates, a careful polarization study of crystalline LiNO3 sho*ild
Provide a test for this explanation.
Finally, in an interpretation of the infrared combination spectra of
calcite and the alkali nitrates, Schroeder, !'eir, and Lippincott 11 suggested
that a torsional lattice vibration about the optic axis should exist with a-l
fu-.damental frequency of 20-33 cm . Although such 4 vibration should be Raman-
inactive by symmetry, it was reported in early studies of calcite; 1 2' 1 3 it was
not observed in later investigations of NaITO83 and CaCO3 . 9 Since measuremeits
in the low frequency region were difficult due to scattered light and grating
ghosts, it seemed worthwhile to confirm the absence of the torsional motion in
the case of LiNO3 .
> In order to determine the external lattice vibration frequencies of LiNO
and to unambiguously establish the internal nitrate ion frequencies, as well as to
study the effect of the alkali cation on these vibrations, the Raman spectrinu of a
large, anhydrous single crystal of lithium nitrate has been obtained. Using modernRaman instrumentation a complete polarization study h been made$ and the dvaiiable
spectra region extonded to within lO'cm- I of t.. ex--ting radiation.
--3"
EXPERIMENTAL
The crystal used in this investigation was obtained from the Harshaw
Cherical Company. Unfortunately, unlike NaNO 3 , a clear, homogeneous single
crystal of LiNO3 can be grown only with some difficulty, and cannot be control-
lably cleaved. The 3ample received in our laboratory was a cube approximately
5mm on a side, polished to size from a larger ingot. The faces were mutually
perpendicular within 10, and the z-axis (optic axis) was normal to one of them.
in order to facilitate orientation, the crystal was mounted in a W and W
eucentric gonianeterwhich had been placed in a small Plexiglass drybox.' This
cnsured that the sar!ple remained anhydrous; at no time was the crystal exposed
t_- the room atmosphere.
The oriented single crystal was first irradiated using a Spectra-
0Physics Model 125 He-!le laser emitting about 70 mW at 6328A. The 900 scattered
light was collected by appropriate optics, dispersed by a Spex Nodel 1400 double
rnoncchromatnr, and detected using a ther-mo-electrically cooled ITT FW-130
photorultiplier (S-20 response), The photomultiplier output signal was -znplified
with a Victoreen VTE-l micro-microammeter, and displayed on a Moseley 7100B
strip chart recorder.1 4 The laser power was adequate to discern the general
features and intensity patterns of the Paman spectrum. More detailed studies
347 each band were made using a S;ectra-Pbysics Model 140 argon ion laser emitting
0 0about 600 mW at 480A and 700 mW at 5145A as the excitation source.
In general, the spectra were obtained with the incident beam focused
within the sample using a solid angle of less than 20, and with the scattered
light gathered using f/2 optics. Depending on the band being studied and the
-1polarization conditions, spectral slit widths i'n the range 0.2 - 2 cm were
-4-l
employed. The accuracy of the repcrted frequencies is within 0.5 cm-. All
measurements were made at room temnerature.
RESULTS AID DISCUSSION
As indicated in the third column of Table I, for a rhombohedral crystal
with D3d symmetry only four of the polarizability tensor derivatives are unique.
According to the group theoretical analysis a and a are always related duexx yy
to symmetry, as are aXz and ayz Representative Raman spectra of crystalline
LiNO3 in the xx-, zz-, xy-, and xz-or'lentations are shown in Fig. 2. The polar-
ization is specified by the commonly accepted notation! 5 of tite t)e x(yz)y,
where the initial -. d final letters denote the direction of the incoming and
oDserved light in the crystal coordinate rystem, and the letters in parenthesis
indicate the polarization axes of the incident and scattered radiation. Thus in
this example a measure of the a -component of the polarizability tenp.oryz
derivative would be obtained.
The observed frequencies, assignments, and relative intensities as a
function of polarization are summarized in Table I. Theoretical consideratioc
of the relative intensities have been developed by Bhagavantum1 6 and Saksena. 17
Like the other crystals in its class, lithium nitrate is highly birefringent,
and therefe anvmlous depolarization effects, such as the presence of a give7%
vnBration in a polarized spectrum where it is theoretically forbidden, are to
b expected. Fig. 2 shows that such small residual intensity is sometimes
observed. This subject has been considered in the discussions of the Raman
rpect:a of calrite and scidiio nitrate. 8 Furthermore, in the course of checkir.r.
the polarized spectra usin alternate incident and scattered light axes, it -4as
-.. ",hi , . -. -.. ... te ai. .g.b -. .. dEii -- *J,-i i-C'-
hi --.r*. ..., . • i - - -- -':-
obzc-ved that the relitive intensities of the bands sometimes !:hanged although
the name tensor compnent was being observed. This effect is most striking for
v in the a polarization, wich is shown in Fig. 3. Again the optical
inhaogeneity of the VI O3 can account for this observation, as discussed in
detail for the cast of calcite by Porto, et al -
A. internal Modes
The symmetric stretching vibration (v1 ) of the No3- ion in crystalline
LiO 3 is observed at 1071. 0 cm"1 . This frequency is close to that observed8 for
NaNO3 (v I = 1068 cm -1), but appreciably different from the value of 1086 cm- 1
previously reported for solid Li0 3 ,1 which was used in the subsequent discussion
of frequency trends among various alkali nitrates. 2- 5 Detailed scans of the v1
region in the n,-polarization using the approximately 0.7 watt of power available0 0
in each of the argon ion laser lines at 4880 A and 5145 A showed the presence of-l
a sharp band at 1050 ± 1 cm with an intensity about 1/200 of the strong peak
at 1071 cm- 1 . The relative intensity sugests that the weak band at 1050 cm- I
is due to the vI vibration of a nitrate ion containing one oxygen -18 atom. 18
Calculation of the isotopic frequency assuming a valence force field and a planar
geometry for the XYZ 2 molecule 19 gives excellent agreement with the observed
value, thus confi'.ming this assignment.
The antisymmetric stretching vibration (v3) is located at !384.6 -
a value slightly lower than the previously reported frequency of 1391 cm- 1 ,
but essentially identical to v3 of the nitrate ion in HaNO,, which is observed8
at 1385 cm- 1. Careful examination of this spectral region using argon ion-1
excitation revealed a weak band at 1354 cm . Isotope shift calculations suggest
the assigrzent of this band to v3 of sNO 3" ions, present in 0.37% natural
abun4ance.
-6-
The remaining internal fundamental, the in -pP. ne bending motion, v4 is-1
observed at 735.4 cm . This frequency is slightly hl',her than that listed by
Sues (728 cm- ), and also hOigher tan the value emrved 8 for NaNO3 (724 cm-)
The frequency shift of 1-1/2% in t 14; vibratlon uprn. change in cation, although
the largest for the internal modes, confirms that 'cie bonding in the nitrate ion
is essentially unaffected by tbe packing in the crystal. None of the fundamentals
show frequency shifts of sufficiently significant magnitude to be correlated with
the available "free vo_ -ane" in the various respective crystal lattices.
The depola -izition behavior exh-.bited by the internal vibrations, shown
in Fig. 2, closely follcws exuectati.i. For the EE modes, v, and V4, the grout
theoretical selection rules predict that the allowed polarizaility components
are axx = - Iyy = CL and X, = . However, it is expected that the intensity
in the xz- and yz-spectra will be relatively weak, 1 7 since in the limit of anisolated nitrate ion (D3h symmetry) the out-of-plane polarizability derivative
components approach zero during the in-plane vibrations. The absence of v3 and
V in the x(zy)z-spectrum of Fig. 2 demonstrates that there is little interionic
coupling in the LiNO3 lattice. It is satisfying to note that the intensities of
these bands in the yy- and xy-spectra are indeed quite similar.
For the A symmetric stretching vibration, v1 , the only nonvanishingpolarizability derivatives should be a x and a. I addition, symmetry
considerations suggest that a > a The intensity ratio (a /a ) isYY zz "y Z
approximately 10 for the 1071 cm" band of LiNO3 the corresponding ratio "l also
8 910 for NaNO 3 , and is about 5 for CaCO 3.
--
The v band also appears weakly in the x(yx y-spectr-= of Fig. 2,
and is barely discernible in the x(sy)z orientation; in both cases xz shotld
be absent. Furthermore, as shown in Fig. 3, the relative intensity of the
1071 m- i band in the xy-polarization is much higher when the -crystal is rotated
so that light either enters or is gathered along the crstallographic z -axis.
This striking orientation dependence is clearly due to the particular properties
of the LiMO3 crystal, and not to an inherent oreakdwn of syometry selection
ritles. Indeed, such behavior is expected for highly birefringent crystals,
if either the incident or scattered light is convergent. This effect has been-
discussed in detail by Porto, Gicrdmaine, and Damen, 9 and is also observed in
calcite20 and sodium nitrate. If the incident polarized light is not extremely
well collimated and- colinear w-th the intended crystalline axis interference
between the ordinary and extraordinary components of other polarizations will
contribute to the scattering. For example, in our z(yx)y spectrm depolarized
z(xx)y light, where v, is strongly allowed, would also be detected. Similarly,
since the scattered radiation is collected over a finite solid angle, contributions
from unwanted polarizations will also be measured. Thus depolarized scattering
from x(yy)z will be contained in our x(yx.z-spectru. The dependence of these
effect3 on solid angle has been discussed by Porto, et al; 9 depolarization is
important for divergence angles as small as 10. In our experiments the half-
angle of the focused incident light was about 0.50, whereas the scattered
radiation was collected over a cone with -rng!e of approximately lo. Thus the
anomalous a - intensity for v would be expected to be stronger in the x(yx)z-xy
spectrum than in z(yx y; this is borne out in Fig. 3. These interference effects
are vi~tziaazaa axa t&* Xs Seuc 510-'C 'Oat&r
or scattered ligh't FgLives r~s to zx- cr -Dlztco, .atere ;-az A-
vil-rat:bon iqs aLso forbidden. The neak 4Z~eararce vr-. i&Z z(yx)y setr-
must therefore be attributed to cmystat' itt i berfczoaS sa 5iigrsent f t
5e20e -4' the laser- bea-m. Snethle ayrSv' oretro eas *vsted to !o%-tL a-e
the iteony ec-ectaftci, it ikWely th-at thbe unavctddalble, maurmal 2s tr
dieas in t:-v- b2IXO sarn-le are repfl- c- most Cdc S-%jFt_
m. azan spectre sS nFigs. 2; ~43wt-e ctvtaiWd tN the He-
laser. -;The higher- pnr- Art laser ues alouse-d acm - Spw--A-!r -az
of exceflent qual t t.Y. T:e hgr Scanterfrint 'rensifty Dt-ited aruvslits
to b-a used, but no aw fine ttrtoir wa rc -U~cm~, ~~ t-e
ccupar-able to* thr se I - the !Be-KieCrezct ~eec~cotv sc-arrna
due to the interc.J funmiamewta's f 'r above- the ttmai inztMsixv Scaie r. vsa
sape tral featsures were ots-erved -In adM the iscojc bandi mo
abov~,sernaloctujotion L~#e wee chstred - - eklee t17
assigned1 to 2'-; - :%-e ie~~ .- ch is i=7rce-&t72
o-Wy ere2-_ -a occur at bc' u a-, 16 a cm icrfL- theats -.emd ~--ai
ob-served at 146 t, 2115 t 213±2a are ass. £ne4 v-
and v. I ca e & ofa=2 ~~~~:-
sa l. Mthef- vter %8k band- t-. fjg at '2159 2r 34 r=- * ni cano =-M De&
a-, ied. -I-t sho uld be noted thaz even unr- the inteCs arfon :lOtno tat:
a evidence of R=an scar-terirg due tco~ialt=~s---
tode andI tte external (atc)vAia osc~l eow~rd
-9-
B. Lattice Modes
The low frequency region of the Raman spectrum of c--ystalline LINO3
was investigated to within about 10 cm"I of the exciting line. No evidence of
the postulated low-frequency torsion around the optic axis was noted, even with
the higher power exciting lines. Two lattice vibrations are observed (rigs. 2, 3)
at 124. cm and 237. 2 cm , and are attributed to the expected translational and
librational normal modes, in analogy to sodium nitrate. 8 These assignments are
supported by the depolarization ratios of the two bands, which are summarized in
Table I. Both vibrations are of E symmetry, where the allowed polarizabilityg
components are a - a and a However, as Saksena 17 has shown,
the in-plane translation should have axz = ayz 0 and the out-of-plane libration
should have a - a = a 2 0, if the coupling between the vibrations is small.xx yy xy
This is precisely the behavior shown in Figure 2, where the 124 c- 1 band
(translation) is absent in the x(zy)z-spectrum, and the intensity of the 237 cm-1
haA ' (libration) is smallest in the x(yy)z-spectrum. The latter intensity is
even slightly lower than in the x(zz)y-spectrum where E bands are not allowed
by symmetry. The residual zz-scattering probably arises from the birefringence
effects discussed above. In each polarization the LiNO3 spectra are superior to
those Pre-iously reported for NaNO3 ; since the crystals have s;milar birefringence,
it is likely that crystal imperfections contribute most to the additional anomalous
intensity in sodium nitrate. In neither crystal was evidence of mixing between
the lattice modes apparent.
-10-
Unlike the internal fundamentals, the lattice frequencies are highly
dependent upon the cation. The librational frequency is 1.9 times that of the
tr'-slation in each case, but the LiNO 3 vibrations are a factor of 1.27 higher
in7 .1-quency than the corresponding NaN0 3 bands. As Figure 1 shows, this cannot
be attributed to the lighter mass of the lithium ion, since the cation is not
involved in either Raman-active normal mode. However, it is quite reasonable
that these relatively large-amplitude low-frequency nit.2&.t ion vibrations will
be dependent on the unit cell volume. Indeed, the volume of the NaNO 3 unit
cell is approximately 30% larger than that of LiNO3;6 thus the external NO3-
vibrations will be more highly hindered in the LiNO3 lattice, and would be expected
to exhibit higher frequencies.
SUHMARY
The polarized Raman spectrum of an anhydrous single crystal of LiNO3
has beev obtained under optimum experimental conditions. The Raman-active fundamerta:
vibrations G-1 the nitrate ion in the lattice have been established " follows:
V (E) 735. 1071. and v (E) 1384.6 cm- . Several bands due to4 g 41 0 1 g
isotopic molecules and ctArbinatit-: . o I2MM.rentals were observed. The frequencies
of the nitrate ion internal vibrati-,na L.- -. sentially independent of the cation
in the host lattice; thus there is no tvidence to support the "free volume" theory2
for the frequency shifts advanced by Bues, For some of the bands minor depolar-
ization anomalies occur in the form of residual intensity in polarization
orientations where Raman scattering is not expected according to symnetry. Although
much of this intensity can be accounted for by the highly birefringent nature of
the LiNO crystal, it is clear that crystalline imperfections may also contribute.
I
This is demonstrated by the fact that NaNO3 , which has about the same birefringence,
exhibited stronger anomalous depolarization than LiNO The predictedU
sensitivity of the interference effects due to birefringence to the orientation
of the crystalline sample is quite striking In the pnecelA ei:.!'te.
The Raman-active lattice modes of LiNO have been obtained, ..M ass[gned
to primarily translational (12u (.-) ard librationi (237.2 cm i ) vibratLons3
respectively. No indication o ccupli:g between t!ese 12 Vibratiors i3 observed,
There is no evidence of an additional lowtfr' q,-ncv torsional lattice !,,de.
The frequencies of the external vibratics of the nitrate ion dJo depend strongly
on the host lattices. Althou-,b the ratio rf the librat-on/traansation frequency
is about the same in U!NO3 as In NaH0 3 , vhe valuiea of the frequencies themselves
are about 30% higher. A shift in this d.xettion is cults reasonable in light,
of the significantly smaller unit cell voluae of LO.
Partial support 1rc the U. S. Off izs of Naval Research is gratefully
acknowledged.
References -12-
,. Vz He Thatte and A. S. Oanevan* Indian . rhysic.8, 3- ).
2.1,. BUft, Z, Fjyj,41k Chom., Nze Folge. l0, 1(1957).
3. J. 2. M Sthieu and H. Lc"iburvp, Discuse. Faradlay Soc. 9, 196(1950).
5. K. W. F. K ira~a1 e~r en-cl 1 &*tnfliaad-uni jaixtbuch dcrPhys i d 9V1, Liep '-Le3).
6. 1. W. G. Wyckoff, The__.mruetur* af OCdtz, ,Ctici Catalog 1o .ay, Inc.Zew York, 13-)l 2nd Bd.
7. S. Bbagavatnam ani T. yent .itayudu, Proc. Intl. Acad. Sci.A9, 224(1939).
r. l. L. RoUsseau, R. E. K4ller, aad 6, E, Lerol, J. Chem. Phys.4a, 3409(1968).
9. S. P. 3. Porto, J. A. Oiordcaint, tnd T . ijiDen, Phys. Rev. 147, 6iG.1-96 6).
105. The tbtndbooIk of Chmistry end Physics~, (ThA C~hemical Rubber CoOhio, i957) 35th Ed. Reront editon" contain a misria atr c.i"O.-
11, R. A. Schroed-, C, E. Vlr, and E, R. Lippinctt, J. Re. Yat. Bur. Stdso. 66A
12. J. HI. ibben, Raman Effect and its Clh;mlcal Asplications (Reinhold Publ. Co.,
New York, 1939) p. 428.
13. D. Xirihnamurti, Proc. lnd. Acad. Sci. 46A, 103(1957).
14. R. E. Miilr, K. L. Treuil, R. R. Getty, and t. E. Leroi, Technical Report No.4(29),ORedesign and Construction of a Laser Raman SpectrophotometerM ay, 1968,DDC Accession No. 669797,
15. T. C. Daien, :;. P. S. Porto, and S. B. Tell, Phys. Rev. 142, 570(1966).
16. S. Bhagavantau, Proc. Lad. Acad. Sci. A13, 543(1941.'
17. B. D. Saksona, Proc. Ind. Acad. Sci. All, 229(1940).
18. The natural abundance of 180 is 0.204%.
19. E. Herzberg, Infrared and' Ranan Spec ra of Po-'atonic Noecules (D. Van acss:3n0Co., Inc., Princeton, N. J., 1945).
20. See references cited in reference 9..
21. T. M. K. Nedungadi, Proc, Ind. Acad. Sci. A8, 397(1938).
q IMIv f4
IN M
I~ I S it etI
~ it,
4J I~d
410 0
-4ccr o i
rig 1 The R-im-n-ac tve la t ice ---- --f cvyjstal Iine IN%.3 a. Libration.
b~. Transation.
Fig. 2. Raa Sppg~tra of !IUM, in the four unique polarizatiOn orientations.
131 ~. T le R -ma pctrum of LOUO in the xy-polarization as a functilon of
cryz-,ai ;5dentat ion.
10'
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1200 am40
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ORIGATI G ATIVTV (oop~to wawl m. 09WORT SIECufiT~t C LASS.V#CATIONMichigan State University UnclassifiedDepartment of Chemistry 26 GROUP-----
Miller, RI. E., Gett-y, R. R., freuil, K. L., Leroi, G. E.
*CO* AE741 TOTAL NO. OF VACES REFNo.Bp
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MOO~'-6-A-oog-003Technical Report No. 8(33)
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ti. AOSTRACT
Polarized Raman spectUra of an anhydrous single crystal of LiN% bhe- zi obtainedizndez' optimim experimental Conditions. The internal vibrations of the nitrate ion
s*Obst2rved~as follzowis: I4 735.54 -,,,(Aj~)=17 and v(E 1 384i. cm
these frequencies; ame sssentially independent of the cation in the hosr lattice.The two Raman.active (E ) lattice modes have been located and assigned to primar-ily translational (1 £ cm~ and librational (3.cm ntos No indica-io
=of c- Uvling between these vibrations is observed. The fre~quencies of the externalvibrations relative to those of NalF% demonstrate that they are dependent on the
volume of the crystalline unit cell. Except for small intensity contributions Insome orientations which are probably due to depolarization effects in the
birfrngntcrystal, the polarizability activitie of ohteiterna n
extewal modes follow the expected sy-etry slction rls
0 D ORN 473 ncl S eui tye Classificationt
Secz;:ity Ctassi,,.ca.c...
4 LINK A LINKa LINK rOLE WT OLE WT NOLK 5T i
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