A Mechanistical Study on the Formation of Dimethyl Ether ...
Conformational equilibrium in dimethyl vinyl fluorosilane studied by infrared and Raman spectroscopy
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Transcript of Conformational equilibrium in dimethyl vinyl fluorosilane studied by infrared and Raman spectroscopy
Conformational equilibrium in dimethyl vinyl ¯uorosilane studiedby infrared and Raman spectroscopy
A. Horna, P. Klaeboea, V. Aleksaa,b, A. Gruodisa,b, C.J. Nielsena, Y.E. Nashedc,G.A. Guirgisc,1, J.R. Durigc,*
aDepartment of Chemistry, University of Oslo, P.O. Box 1033, 0315 Oslo, NorwaybDepartment of General Physics and Spectroscopy, Vilnius University, Vilnius 2734, Lithuania
cDepartment of Chemistry, University of Missouri-Kansas City, 5100 Rockhill Road, Kansas City, MO 64110-2499, USA
Received 12 April 2000; accepted 30 May 2000
Abstract
The Raman spectra (3500±20 cm21) of liquid with depolarization values and solid, as well as the infrared spectra of the gas,
the sample isolated in argon and nitrogen matrices at ca. 5 K and solid dimethyl vinyl ¯uorosilane, CH2yCHSi(CH3)2F, have
been recorded. Both gauche and syn rotamers have been identi®ed in the ¯uid phases but only the syn conformer remains in the
solid. Variable temperature (255 to 21508C) studies of the infrared spectra (4000 and 400 cm21) of dimethyl vinyl ¯uorosilane
dissolved in liquid xenon and krypton have been recorded. From the xenon and krypton data, the enthalpy differences have been
determined to be 53 ^ 9 cm21 (0.64 ^ 0.10 kJ/mol) and 44 ^ 7 cm21 (0.53 ^ 0.09 kJ/mol), respectively, with the gauche
conformer being the more stable form. The intensity variations with temperature of the Raman spectrum of the liquid gave
an enthalpy difference of 25 ^ 15 cm21 (0.30 ^ 0.18 kJ/mol) also with the gauche conformer being the more stable form.
Vibrational assignments are provided for both conformers. Complete equilibrium geometries have been determined for both
rotamers using ab initio calculations employing the 6-31G(d), 6-3111G(d,p) and 6-3111G(2d,2p) basis sets at the levels of
restricted Hartree±Fock (RHF) and/or with full electron correlation by the perturbation method, Moller±Plesset (MP), to
second order. The syn conformer is predicted to be the more stable conformer from all ab initio calculations except those of
MP2/6-31(d) which predict the gauche form being the more stable conformer by 54 cm21 (0.65 kJ/mol) although the values
favoring the syn form are all very small. These results are compared to the corresponding quantities of some similar molecules.
q 2000 Elsevier Science B.V. All rights reserved.
Keywords: Conformational stability; FT-IR spectra; Ab initio calculations; Dimethyl vinyl ¯uorosilane
1. Introduction
A number of silanes in which the silicon atom is
attached to a sp2 hybridized carbon atom have been
investigated by infrared and Raman spectroscopy.
When the silicon atom has different substituents
attached, these molecules will have possibilities for
conformational equilibria. The vinyl silanes
CH2yCHSiX2Y in which X and Y are different groups
will, like the corresponding propenes, exist in a syn
conformer with a plane of symmetry and in two
equivalent gauche conformers. Thus, from the
Journal of Molecular Structure 554 (2000) 251±269
0022-2860/00/$ - see front matter q 2000 Elsevier Science B.V. All rights reserved.
PII: S0022-2860(00)00677-3
www.elsevier.nl/locate/molstruc
* Corresponding author. Tel.: 11-816-235-1136; fax: 11-816-
235-5191.
E-mail address: [email protected] (J.R. Durig).1 Permanent address: Analytical Research and Development
Department, Bayer Corp., P.O. Box 118088, Charleston, SC
29423, USA.
vibrational spectral data [1,2] and microwave investi-
gations [3] it was reported that vinylsilylchloride is
present in syn and gauche conformers in the vapor and
liquid states, whereas the gauche conformer is the
stable form in the crystal. However, for the vapor
state these investigators ®rst reported [1] the gauche
as the more stable form but from a later investigation
[2], Si-d2 isotopomer, the syn rotamer was reported as
the more stable conformer. Although the gauche
rotamer was calculated to be the more stable
conformer from ab initio RHF/6-31G(d) calculations,
the syn conformer was determined to be more stable in
the liquid by variable temperature Raman studies
[4,5]. However, it should be noted that the conformer
that is the most stable form in the liquid, may not be
the most stable rotamer in the gas. Therefore, we [6]
carried out a variable temperature FT-IR investigation
of rare gas solutions of vinylsilyl chloride. These
studies indicated that the gauche was more stable by
78 ^ 11 cm21 (0.93 ^ 0.13 kJ/mol).
Infrared and Raman studies combined with ab initio
calculations have also been carried out for dimethyl
vinyl chlorosilane [7] and for methyl vinyl dichloro-
silane [8]. Since the methyl group and the chlorine
have approximately the same size, the conformational
preference is by no means obvious for these mole-
cules. In the former molecule the gauche conformer
was more stable and was present in the crystal [7]
whereas in the latter the syn conformer had lower
energy and was the sole conformer present in the
crystal [8]. These results indicate a preference of the
methyl group eclipsing the double bond over
the chlorine atom.
When these studies are extended to ¯uorine substi-
tuents it was observed that in methyl vinyl di¯uorosi-
lane [9,10] the gauche conformer has a lower energy
in the gas and liquid whereas the syn form is present in
the crystal. In order to obtain more information on the
relative stability of the conformers of dimethyl vinyl
halosilanes we have recorded the infrared and Raman
spectra to determine the conformational stability of
dimethyl vinyl ¯uorosilane, CH2yCHSi(CH3)2F,
(DVFS), and the results of this study will be described
in the present paper.
2. Experimental
The sample was prepared by the reaction between
the chloro derivative CH2yCHSi(CH3)2Cl, and freshly
sublimed antimony tri¯uoride at room temperature
without solvent for 1 h. The sample was puri®ed by
a low temperature, low pressure fractionation column
and the purity was checked by mass spectrometry.
The Raman spectra of the liquid, amorphous solid
and crystal were obtained at different temperatures in
a capillary tube of 2 mm inner diameter, surrounded
by a Dewar, cooled by gaseous nitrogen evaporated
A. Horn et al. / Journal of Molecular Structure 554 (2000) 251±269252
Fig. 1. Raman spectra of dimethyl vinyl ¯uorosilane in two polarization directions, 1700±800 cm21 with ordinate scale 0±3000 counts, 700±
100 cm21 with 0±30,000 counts.
from a reservoir [11]. These spectra were employed
for calculating the enthalpy difference DH between
the conformers in the liquid. DVFS has a pronounced
hysteresis (undercooling) and it was possible to study
the liquid far below the freezing point. The crystal-
lization often occurred spontaneously at ca. 21238Cand the anisotropic crystal containing only one
conformer was obtained. Independently, the vapor
of DVFS was condensed on a copper ®nger at
21968C, and the Raman spectrum of the amorphous
phase was recorded. Subsequently, the amorphous
solid was annealed to temperatures slightly below
the melting point, the sample turned crystalline from
visual inspection and was recooled to 21968C before
the spectrum was obtained. The Raman spectra were
recorded digitally using a Dilor RTI-30 spectrometer
(triple monochromator, with a Peltier cooled detector)
coupled to a PC. An argon ion laser from Spectra
A. Horn et al. / Journal of Molecular Structure 554 (2000) 251±269 253
Fig. 2. Raman spectra (1050±50 cm21) of amorphous (solid line) and annealed (dotted line), crystalline solids of dimethyl vinyl ¯uorosilane.
Fig. 3. Infrared spectrum of a gas of dimethyl vinyl ¯uorosilane.
Fig. 4. Far infrared spectra of dimethyl vinyl ¯uorosilane: (A) gas;
(B) amorphous (solid line) and annealed solid (dotted line).
Physics (model 2000) was employed with perpendi-
cular illumination using the 514.5 nm line for excita-
tion. The Raman spectra are shown in Figs. 1 and 2.
The infrared spectra (Figs. 3±8) were recorded with
various Fourier transform spectrometers: Bruker
models IFS-88 and IFS-66 (4000±450 cm21), a
Nicolet model 800 (4000±450 cm21), a Perkin±
Elmer model 2000 (4000±450 cm21) and on
two vacuum benches: Bruker IFS-113v spectro-
meter (600±50 cm21) and Bomem model DA
3.002 (600±50 cm21). The latter instrument had
A. Horn et al. / Journal of Molecular Structure 554 (2000) 251±269254
Fig. 5. Infrared spectra (1100±400 cm21) of amorphous (solid line) and crystalline (dotted line) solids of dimethyl vinyl ¯uorosilane.
Fig. 6. Infrared spectra (1350±800 and 860±500 cm21) of dimethyl
vinyl ¯uorosilane in an argon matrix unannealed (solid line) and
annealed (dashed line).
Fig. 7. Infrared spectra (1025±950 cm21) of dimethyl vinyl ¯uor-
osilane in a nitrogen matrix unannealed (solid line) and annealed.
a helium cooled Bolometer as detector, the other
instruments had detectors of DTGS. Beamsplitters
of Ge substrate on KBr were used in the mid-
infrared regions (MIR) whereas beamsplitters of
Mylar of thickness 3.5 and 12 m as well as one
of a metal mesh were employed in the far infrared
(FIR) region. The spectrum of the vapor was
recorded with the sample contained in cells with
KBr windows and path length 10 cm in MIR and
in cells of 20 cm and 1 m path lengths with poly-
ethylene windows in the FIR region. The spectra
of the amorphous and crystalline solids were
obtained by depositing the vapor on a CsI window
and on a wedge shaped window of silicon, cooled
with boiling liquid nitrogen, for the MIR and FIR
regions, respectively.
The sample was diluted with argon and nitrogen
(1:500 and 1:1000) and deposited on a CsI window
of a three stage Displex cryostat from APD (model
HS-4) at either 2268 or 22588C. The matrices were
subsequently annealed to various temperatures from
2253 to 22368C (argon) and from 2253 to 22398C(nitrogen) in periods from 10 min to 1 h and the
window was recooled to 22688C and the spectra
recorded (Figs. 6 and 7).
The mid-infrared spectra (Fig. 8) of the samples
dissolved in lique®ed xenon (255 to 21008C) and
krypton (2105 to 21508C) as a function of tempera-
ture were recorded on a Bruker model IFS 66 Fourier
transform interferometer equipped with a Globar
source, a Ge/KBr beamsplitter and a TGS detector.
In all cases, 100 interferograms were collected at
1.0 cm21 resolution, averaged and transformed with
a boxcar truncation function. For these studies, a
specially designed cryostat cell was used. It consisted
of a copper cell with a path length of 4 cm with
wedged silicon windows sealed to the cell with
indium gaskets. It was cooled by boiling liquid
nitrogen to 21968C. The temperature was monitored
with two Pt thermoresistors. The complete cell was
connected to a pressure manifold, allowing the ®lling
and evacuation of the cell. After the cell had cooled to
the desired temperature, a small amount of the
compound was condensed into the cell. Next the pres-
sure manifold and the cell were pressurized with the
noble gas, which immediately started to condense in
the cell, allowing the compounds to dissolve. All
observed infrared and Raman bands with signi®cant
intensities are listed in Table 1.
3. Ab initio calculations
The LCAO±MO±SCF calculations were
performed with the gaussian-94 program [12] with
Gaussian-type basis functions. The energy minima
with respect to the nuclear coordinates were obtained
by the simultaneous relaxation of all of the geometric
parameters, except for the symmetry restrictions for
the gauche and cis conformers, using the gradient
method of Pulay [13]. The structural parameters
were determined from RHF/6-31G(d) (restricted
Hartree±Fock), MP2/6-31G(d) (full electron correla-
tion by the perturbation method to the second order),
MP2/6-3111G(d,p) and MP2/6-3111G(2d,2p)
calculations and the results are given in Table 2.
The energy difference that resulted from these various
calculations ranged from 46 cm21 (0.55 kJ/mol) from
A. Horn et al. / Journal of Molecular Structure 554 (2000) 251±269 255
Fig. 8. Infrared spectra of dimethyl vinyl ¯uorosilane: (A) experi-
mental spectrum of the liquid Krypton (21258C); (B) calculated
spectrum of the mixture (DH� 44 cm21); (C) calculated spectrum
of the syn conformer; (D) calculated spectrum of the gauche
conformer.
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6Table 1
Infrared and Raman spectral data (abbreviations used: s, strong, m, moderate; w, weak; v, very; bd, broad; sh, shoulder; p, polarized; d, depolarized. A, B and C denote vapor
contours; asterisks denote band vanishing in the crystal spectra; arrows pointing upwards and downwards signify matrix bands which increase and decrease in intensities after
annealing; and P, Q, and R refer to the rotational±vibrational branches) for dimethyl vinyl ¯uorosilane (CH2yCHSi(CH3)2F)
Infrared Raman
Solid
Vapor Ar matrix (5 K) N2 matrix (5 K) Amorphous (80 K) Crystalline (80 K) Liquid Amorphous (80 K) Crystalline (80 K) Interpretation
3071 R m n 10
3065 Q,C 3074 w 3071 w 3059 m 3059 m 3064 m,br,P n 1
3058 P 3063 m 3062 m3027 w 3026 w
3025 w 3018W 3019 w 3018 w/m 3024 w 3022 w,D? n 2
3018 w3000 w 3000 w 2993 w,sh n 3
2988 vw 2986 w/m,sh 2981 vs,P2986 R m 2982 vw 2974 m/w,sh2973 Q,C 2976 m 2975 m 2963 s 2963 m 2960 m,sh,D n 4
2961 P 2963 w 2954 m2970 w n 5,n 6
2957 w 2957 w 2954 s n 7
2915 max w 2916 vw 2916 vw 2907 w 2907 w 2911 vs,P n 8,n 9
2888 w 2876 vw 2882 vw1937 R 1941 vw
1930w1928 Q,A
w1929 vw 1939 w 1930 w
19171919 P 1923 vw1608 R 1605 w1601 Q,A 1603 m
1601 m #1597 m/s 1596 w/m 1601 vs,P 1597 m 1601 m n10
1595 Pm
1598 w " 1599 m "1596 w/m 1601 vs,P 1597 m 1595 m n10
0
1446 w1447 m 1446 w n11, n12
1442 w1423 w 1425 vw n13
1421 vw " 1421 w # n14
1420 Q m
1414 Q m1413 m
1415 w1412 m
1415 m n151411 Q m1408 m
1413 s 1409 s1410 m
1416 vs,P1412 s
1413 m n1501405 sh m 1409 m
1403 m "1398 m # 1401 m # 1398 m 1397 m 1402 w,sh 1405 w,sh
1297 sh w 1293 w 1294 vw 1299 w 1305 w1277 w 1277 w #
1272 R 1274 m1266 Q m m 1262 vs 1263 s 1275 w 1271 w 1279vs,P 1272m 1270 m n 16
1263 Q m m 1258 vs 1263 w1254 sh m 1257 vs " 1253 s " 1254 vs,br 1257 m 1260 vw 1258 vw 1258 w n 17
1250 s 1252 m
o�
o
o � o
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Table 1 (continued)
Infrared Raman
Solid
Vapor Ar matrix (5 K) N2 matrix (5 K) Amorphous (80 K) Crystalline (80 K) Liquid Amorphous (80 K) Crystalline (80 K) Interpretation
1249 w # 1244 w 1244 m 1252 vw 1250 vw n 18
1016 m " 1018 w " 1017 vw1013 max m 1014 m # 1015 1012 s 1012 s 1014 w,D 1008 w 1009 w n 19
1011 m # m # 1011 m1007 max m 1008 m
1007 s 1008 s # 1005 s 1002 s 1004w 1002 w n 20 n 200
1005 w,sh 1006 w n 210
974 R969 Q,C m 967 m " 969 vs " 970 s 959 s 967 w,D 971 w 957 w n 21
966 P 966 s,sh "966 R 964 s #964 Q,C m 963 s 966 s # p 967 w,D 963 w p
955 961 vs958 m890w 890 m " 893 w,sh
904 R p p
895 Q vs 866 vs 883 vs # 876 s 883 w,D 874 vw n 22
886 sh vs 884 vs 879 vs # n 220
876 w # 873 m # 865 s 862 s,sh 864 w855 R850 Q,C vs 847 vs " 850 vs " 845 vvs 846 vs 855 vw 850 w 848 w n 23
848 Q,C vs 845 vs # 848 vs # n 230
841 P839 m "
805 m806 R 801 s " 799 vs 797 vs 796 m 799 m,D 806 w 805 w n 24
799 Q vs 796 vs # 793 s 795 w 800 w789 P 788 m/w 792w772 Q m 770 M # 772 m # 769 m 770 m 767 w 769 vw V25
768 M " 766 w " 766 s 765 m733 W # 736 vw # 739w 741 vw 743 vw 742 vw n 26
716 R 714 W "710 Q,C m 712 vs " 711 s " 711 s p 712 m,p 714 m p n 27
703 P 710 m "694 sh m 692 m # 694 m # 695 m 696 m 696 m,P 695 m 695 m n 28,n 27
0
692 w616 R vw 607 w 606 w # 607 m p 613 vs,P 621 m,sh 613 vs n 29
0607 Q 601 w #
611 vs n 29
521 max m 528 s " 527 m " 526 w,D 530 w n 30
526 s # 525 m #515 max m 523 s # 522 w # 532 s 524 s 519 w 523 vw n 30
0
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8
Table 1 (continued)
Infrared Raman
Solid
Vapor Ar matrix (5 K) N2 matrix (5 K) Amorphous (80 K) Crystalline (80 K) Liquid Amorphous (80 K) Crystalline (80 K) Interpretation
520 m " 515 m " 519 s 519 m 517 vw400 R m394 Q, A/C 394 s 394 s 396 m,P 397 m 395 m n 31
0
388 P365 max m 366 m p 371 m,P 368 p n 31
273 max s 275 s 275 s 275 m,D 286 w 285 w n 32,n 330
272 s 277 w267 sh 263 s 261 s 265 m,P 263 m 264 m n 33,n 32
0
258 m218 vw,sh 228 w p 225 w,sh 230 w p n 34
208 w 209 w,sh 214 m180 w 201 w 209 w 195 s,D 201 m 209 m n 35,n 34
0
175 vw 179 vw 178 vw 187 w,sh 190 w,sh 187 w n 36,n 350
170 w 178 vw 178 w 178 w 175 w n 37
164 vw 151 vw 151 vw n 360
101 w 104 m,br 110 m n 39
95 vw 102m64 m47 m lattice
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Table 2
Structural parameters (bond distances in AÊ , bond angles in (8), rotational constants in MHz, and dipole moments in Debye), rotational constants, dipole moments and energy for
dimethyl vinyl ¯uorosilane
RHF/6-31G(d) MP2/6-31G(d) MP2/6-3111G(d,p) MP2/6-3111G(2d,2p)
Parameter gauche syn gauche syn gauche syn gauche syn
rC1±C2 1.325 1.325 1.344 1.344 1.347 1.347 1.340 1.340
rSi±C2 1.869 1.868 1.859 1.859 1.859 1.858 1.857 1.856
rF±Si3 1.609 1.608 1.634 1.632 1.637 1.636 1.621 1.621
rC1±H5 1.078 1.078 1.088 1.087 1.087 1.087 1.080 1.081
rC1±H6 1.077 1.076 1.087 1.086 1.088 1.087 1.081 1.080
rC2±H7 1.081 1.082 1.091 1.091 1.091 1.091 1.084 1.084
rSi±C8 1.876 1.876 1.866 1.867 1.861 1.861 1.859 1.859
rSi±C9 1.876 1.876 1.866 1.867 1.861 1.861 1.859 1.859
rC8±H10 1.087 1.088 1.094 1.094 1.094 1.095 1.087 1.087
rC8±H11 1.086 1.086 1.093 1.093 1.093 1.093 1.086 1.086
rC8±H12 1.087 1.087 1.094 1.094 1.094 1.094 1.087 1.087
rC9±H13 1.087 1.088 1.094 1.094 1.094 1.095 1.087 1.087
rC9±H14 1.087 1.086 1.093 1.093 1.094 1.093 1.086 1.086
rC9±H15 1.087 1.087 1.094 1.094 1.094 1.094 1.087 1.087
/SiC2C1 124.5 123.3 123.4 122.5 123.4 122.9 123.2 122.7
/FSiC2 107.4 106.4 107.7 106.2 107.3 106.2 107.5 106.3
/H5ClC2 122.3 122.3 122.6 122.6 122.1 122.0 122.1 122.0
/H6ClC2 122.4 121.9 121.9 121.3 121.7 121.3 121.5 121.1
/H7C2C1 117.4 117.8 117.5 117.8 117.2 117.4 117.0 117.3
/C8SiF 107.5 107.9 107.7 108.1 107.4 107.6 107.8 107.8
/C9SiF 106.7 107.9 107.2 108.1 106.7 107.6 106.8 107.8
/H10C8Si 111.7 111.1 111.3 110.8 111.4 110.6 111.2 110.6
/H11C8Si 111.8 111.2 111.8 111.0 111.4 110.8 111.4 110.8
/H12C8Si 110.3 111.4 110.2 111.4 110.1 111.2 110.1 111.1
/H13C9Si 111.2 111.1 110.7 110.8 110.7 110.6 110.6 110.6
/H14C9Si 111.3 111.2 111.3 111.0 111.0 110.8 110.9 110.8
/H15C9Si 111.3 111.4 111.3 111.4 111.1 111.2 111.1 111.1
tFSiC2C1 117.9 0.0 115.0 0.0 120.7 0.0 121.6 0.0
tH5ClC2Si 180.0 180.0 180.0 180.0 180.0 180.0 180.0 180.0
tH6C1C2H5 180.0 180.0 180.0 180.0 180.0 180.0 180.0 180.0
tH7C2C1Si 180.0 180.0 180.0 180.0 180.0 180.0 180.0 180.0
tC8SiFC2 120.9 119.9 120.5 119.6 119.9 119.7 119.8 119.7
tC9SiFC2 2119.0 2119.9 2119.2 2119.6 2119.4 2119.7 2119.4 2119.7
tH10C8SiF 178.7 181.8 178.8 182.1 178.4 181.7 178.2 181.9
tH11C8SiH10 121.1 119.8 121.0 119.7 121.0 119.6 120.9 119.7
tH12C8SiH10 2119.4 2119.9 2119.4 2119.9 2119.5 2119.8 2119.4 2119.9
tH13C9SiF 2179.3 2181.8 2179.3 2182.1 2180.6 2181.7 2179.7 2181.9
tH14C9SiH13 2119.9 2119.8 2119.8 2119.7 2119.7 2119.6 2119.8 2119.7
RHF/6-31G(d), 254 cm21 (20.64 kJ/mol) from
MP2/6-31G(d) and 22 cm21 (0.26 kJ/mol) from
MP2/6-3111G(d,p) and 10 cm21 (0.12 kJ/mol)
from MP2/6-3111G(2d,2p) calculations with the
syn rotamer the more stable conformer from each
calculation except from the MP2/6-31G(d) calcula-
tion which predicted the gauche rotamer being more
stable.
For the normal coordinate analysis, the force ®eld
in Cartesian coordinates was obtained with the gaus-sian-94 program [12] from the MP2/6-31G(d) calcu-
lations. Internal coordinates were de®ned as shown in
Fig. 9, which were used to form the symmetry coor-
dinates listed in Table 3. The Cartesian coordinates
obtained from the optimized geometry were used to
calculate the B-matrix elements with the G matrix
program of Schachtschneider [14]. These B-matrix
elements were used to convert the ab initio force
®eld in Cartesian coordinates to a force ®eld in the
desired internal coordinates. The resulting force ®elds
for the gauche and cis conformers are available from
the authors. These force ®elds were used in a mass-
weighted Cartesian coordinate calculation to repro-
duce the ab initio vibrational frequencies and to deter-
mine the potential energy distribution (PED) which is
given in Table 4 for the two conformers. All the
elements of the force ®eld in internal coordinates
from the MP2/6-31G(d) calculation were then
assigned scaling factors of 0.9 for the stretches and
bends and 1.0 for the torsions and the calculation
repeated to obtain the ®xed scaled force ®eld and
scaled vibrational frequencies.
To aid in the vibrational assignment for the
CH2CHSi(CH3)2F molecule, the infrared and Raman
spectra were calculated using frequencies, Raman
scattering activities (RHF/6-31G(d)), and infrared
intensities (MP2/6-31G(d)) determined from the ab
initio calculations. The evaluation of the Raman
activity by using the analytical gradient method has
been developed [15,16]. The activity Sj can be
expressed as:
Sj � gj�45a2j 1 7b2
j �
where gj is the degeneracy of the vibrational mode j,
a j the derivative of the isotropic polarizability and b j
the derivative of the anisotropic polarizability. The
Raman scattering cross sections, 2sj=2V; which are
A. Horn et al. / Journal of Molecular Structure 554 (2000) 251±269260T
able
2(c
on
tin
ued
) RH
F/6
-31
G(d
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P2/6
-31G
(d)
MP
2/6
-3111
G(d
,p)
MP
2/6
-3111
G(2
d,2
p)
Par
amet
erg
au
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syn
gauch
esy
ngauch
esy
ngauch
esy
n
tH
15C
9S
iH13
12
0.1
11
9.9
120.0
119.9
120.2
119.8
120.2
119.9
A3
32
0.0
33
89
.83314.7
3371.9
3327.1
3381.3
3352.0
3407.7
B2
05
2.6
20
55
.02048.5
2054.9
2048.2
2055.2
2064.1
2069.9
C1
94
5.2
19
71
.91959.5
1987.6
958.4
1985.9
1973.3
1997.3
u mau
1.0
33
0.0
04
1.1
14
0.0
41
1.2
05
0.1
28
1.0
71
0.1
52
umbu
0.2
13
0.0
00
0.2
09
0.0
00
0.2
78
0.0
00
0.2
83
0.0
00
u mcu
1.7
16
1.6
98
1.8
33
1.7
96
2.0
62
2.0
30
1.8
45
1.8
32
u mtu
2.0
14
1.6
98
2.1
55
1.7
96
2.4
04
2.0
34
2.1
52
1.8
38
2(E
15
45
)0
.142
37
10
.142
58
00.9
43956
0.9
43711
1.3
48615
1.3
48714
1.4
50188
1.4
50232
DE
(cm
21)
46
54
22
10
proportional to the Raman intensities, can be calcu-
lated from the scattering activities and the predicted
wavenumbers for each normal mode using the rela-
tionship [17,18]:
2s j
2V� 2 4p4
45
! �n0 2 nj�4
1 2 exp2hcnj
kT
� �0BBB@
1CCCA h
8p2cnj
!Sj
where n 0 is the exciting frequency, n j the vibrational
frequency of the jth normal mode and Sj the corre-
sponding Raman scattering activity.
To obtain the polarized Raman scattering cross-
sections, the polarizabilities are incorporated into Sj
by Sj��12�j�=�11�j�� where r j is the depolarization ration
of the jth normal mode. The Raman scattering cross-
sections and calculated frequencies were used
together with a Lorentzian function to obtain the
calculated spectrum. The experimental and predicted
Raman spectra of dimethyl vinyl ¯uorosilane are
shown in Fig. 10. The predicted spectra are compared
to the experimental Raman spectrum of the liquid,
which is shown in Fig. 10A. These spectra were
very useful for making the vibrational assignments
to the correct bands for the two conformers.
Infrared intensities were also calculated based on
the dipole moment derivatives with respect to the
Cartesian coordinates. The derivatives were taken
from the ab initio calculations MP2/6-31G(d) and
transformed to normal coordinates by
2mu
2Qi
� ��X
j
2mu
2Xj
!Lij
where Qi is the ith normal coordinate, Xj the jth Carte-
sian displacement coordinate and Lji the transforma-
tion matrix between the Cartesian displacement
coordinates and normal coordinates. The infrared
intensities were then calculated by
Ii � Np
3c2
2mx
2Qi
� �2
12my
2Qi
� �2
12mz
2Qi
� �2" #
In Fig. 8, the predicted infrared spectra are shown for
the pure gauche (Fig. 8D), pure syn (Fig. 8C) and the
mixture (Fig. 8B). The experimental infrared spec-
trum of the normal species dissolved in liquid krypton
at 21258C is also shown for comparison in Fig. 8A.
Excluding the overtones or combination bands, the
calculated spectra have some differences from the
experimental one especially in comparing the relative
intensities of the bands in the 1300 cm21 region.
Nevertheless, they provide support for the assign-
ments of the observed bands to the indicated funda-
mentals for each conformer.
4. Conformational stability
There are a few fundamentals which show
conformer doublets in the infrared and Raman spectra
A. Horn et al. / Journal of Molecular Structure 554 (2000) 251±269 261
Fig. 9. Internal coordinates of dimethyl vinyl ¯uorosilane.
of the ¯uid phases. The two bands at 521 and
513 cm21 in the infrared spectrum of the gas which
are assigned as the C±H out-of-plane bending modes,
demonstrate the presence of conformers, where by
repeated annealing of the amorphous solid only the
lower frequency band remains. Other bands which are
observed in the infrared and Raman spectra of the
¯uid phases and amorphous solid but not in the spec-
trum of the annealed solid are observed at 962, 710,
607, 366, 272, 228 and 201 cm21.
These data clearly indicate that there are two
conformers present in the ¯uid phases at ambient
temperatures but only one rotamer remains in the
polycrystalline solid. The band at 710 cm21 is the
only band predicted by ab initio calculations in this
region (703 cm21) and it can de®nitely be assigned to
the Si±C stretch of the gauche conformer. Since this
band is drastically decreased in the intensity in the
infrared spectra of the argon and nitrogen matrices
and annealed solid, it can be concluded that the syn
A. Horn et al. / Journal of Molecular Structure 554 (2000) 251±269262
Table 3
Symmetry coordinates (not normalized) for dimethyl vinyl ¯uoro-
silane
Description Internal coordinate
CH2 antisymmetric stretch S1 � r1 2 r2
CH3 antisymmetric stretch S2 � r5 2 r6 2 r8 1 r9
CH3 antisymmetric stretch S3 � r1 1 r2
CH3 antisymmetric stretch S4 � 2r4 2 r5 2 r6 12r7 2 r8 2 r9
CH2 symmetric stretch S5 � r1 1 r2
CH3 antisymmetric stretch S6 � 2r4 2 r5 2 r6 22r7 1 r8 1 r9
CH stretch S7 � r3
CH3 symmetric stretch S8 � r4 1 r5 1 r6 1 r7 1r8 1 r9
CH3 symmetric stretch S9 � r4 1 r5 1 r6 2 r7 2r8 2 r9
C� C stretch S10 � QCH2 deformation S11 � 2a 2 b1 2 b2
CH3 antisymmetric deformation S12 � 2d1 2 d2 2 d3 22d4 2 d5 2 d6
CH3 antisymmetric deformation S13 � d1 2 d3 2 d4 1 d6
CH3 antisymmetric deformation S14 � 2d1 2 d2 2 d3 22d4 1 d5 1 d6
CH3 antisymmetric deformation S15 � d1 2 d3 1 d4 2 d6
CH3 symmetric deformation S16 � d1 1 d2 1 d3 2f1 2 f2 2 f3 1 d4 1d5 1 d6 2 f4 2 f5 2 f6
CH3 symmetric deformation S17 � d1 1 d2 1 d3 2f1 2 f2 2 f3 2 d4 2d5 2 d6 1 f4 1 f5 1 f6
CH in-plane bend S18 � y1 2 y2
CH2 twist S19 � gCH2 wag S20 � b1 2 b2
CH2 rock S21 � eSiF stretch S22 � SCH3 rock S23 � f2 2 f3 1 f5 2 f6
CH3 rock S24 � f2 2 f3 2 f5 1 f6
CH3 rock S25 � 2f1 2 f2 2 f3 12f4 2 f5 2 f6
CH3 rock S26 � 2f1 2 f2 2 f3 22f4 1 f5 1 f6
SiC stretch S27 � RSiC2 antisymmetric stretch S28 � X1 2 X2
SiC2 symmetric stretch S29 � X1 1 X2
C±H out-of-plane bend S30 � g 0
CCSi bend S31 � 2p 2 y1 2 y2
SiC2 wag S32 � v1 1 v2 2 u1 2 u2
SiC2 rock S33 � u1 2 u2 1 v1 2 v2
SiC2 deformation S34 � ���6p
1 2�S2� ��
6p
2 2�v 2 u1 2 u2 2v1 2 v2
methyl torsion S35 � t2 2 t3
CSiF bend S36 � ���6p
2 2�S2� ��
6p
1 2�v 1 u1 1 u2 1v1 1 v2
SiC2 twist S37 � u1 2 u2 2 v1 1 v2
methyl torsion S38 � t2 1 t3
Asymmetric torsion S39 � t1
Fig. 10. Raman spectra of dimethyl vinyl ¯uorosilane: (A) experi-
mental spectrum of the liquid; (B) calculated spectrum of the
mixture (DH� 44 cm21); (C) calculated spectrum of the syn
conformer; (D) calculated spectrum of the gauche conformer.
A.
Ho
rnet
al.
/Jo
urn
al
of
Mo
lecula
rStru
cture
554
(2000)
251
±269
263
Table 4
Observed and calculated wavenumbers for gauche and syn conformers of dimethyl vinyl ¯uorosilane
Description Gauche Syn
Ab
initioa
Fixed
scaledb
IR
int.c
Raman
actd
dp
ratiod
Obse PED Ab
initioa
Fixed
scaledb
IR
int.c
Raman
actd
dp
ratiod
Obse PED
A 0 n 1 CH2 antisymmetric
stretch
3282 3113 15.5 134.4 0.14 3062 99S1 3289 3120 10.4 134.0 0.14 3071 99S1
n 2 CH3 antisymmetric
stretch
3206 3042 7.1 70.6 0.67 3019 40S2,41S3,10S6 3207 3042 3.4 68.2 0.73 3019 94S2
n 3 CH3 antisymmetric
stretch
3203 3039 8.4 76.1 0.57 3000 54S3,44S1 3207 3042 10.2 64.8 0.63 3000 96S3
n 4 CH3 antisymmetric
stretch
3201 3037 14.6 81.1 0.75 2975 53S4,20S5,10S6 3197 3033 14.4 140.6 0.75 2975 95S4
n 5 CH2 symmetric
stretch
3200 3036 2.1 139.9 0.73 29701 54S5,19S4,18S7 3201 3037 11.7 51.0 0.75 29701 85S5,14S7
n 6 CH3 antisymmetric
stretch
3198 3034 3.9 74.2 0.72 29701 77S6,18S4 3195 3031 0.4 146.8 0.68 29701 94S6
n 7 CH stretch 3187 3023 9.4 33.7 0.72 2957 75S7,24S5 3182 3019 7.3 14.6 0.75 2957 86S7,13S5
n 8 CH3 symmetric
stretch
3108 2948 0.4 146.2 0.01 2916 61S8,39S9 3105 2946 1.3 217.5 0.01 2916 100S8
n 9 CH3 symmetric
stretch
3105 2946 0.6 68.2 0.01 2916 61S9,39S8 3104 2945 0.4 0.4 0.75 2916 100S9
n 10 CyC stretch 1680 1594 11.2 24.8 0.14 1601 61S10,33S15 1677 1591 11.8 30.9 0.16 1599 62S10,31S15
n 11 CH2 deformation 1534 1455 9.3 3.0 0.47 14461 49S11,45S12 1525 1446 1.9 2.3 0.75 14421 55S11,40S16
n 12 CH3 antisymmetric
deformation
1526 1447 4.1 26.8 0.74 14421 51S12,44S11 1531 1453 11.8 32.2 0.75 14461 55S12,40S18
n 13 CH3 antisymmetric
deformation
1521 1443 1.9 17.5 0.75 1425 79S13,17S14 1519 1441 1.2 13.3 0.75 1425 43S13
n 14 CH3 antisymmetric
deformation
1517 1439 0.7 8.9 0.71 1421 76S14,17S13 1515 1438 0.9 16.2 0.75 1421 93S14
n 15 CH3 antisymmetric
deformation
1489 1413 23.1 31.5 0.41 1413 65S15,24S10 1486 1410 18.3 30.8 0.34 1409 68S15,24S10
n 16 CH3 symmetric
deformation
1379 1308 33.5 0.8 0.59 12631 97S16 1377 1307 30.6 0.8 0.43 12621 98S16
n 17 CH3 symmetric
deformation
1374 1303 58.0 1.2 0.75 12571 96S17 1372 1302 56.4 1.0 0.75 12571 97S17
n 18 CH in-plane
bend
1324 1256 2.9 13.3 0.37 1244 59S18,25S20 1323 1255 1.3 14.5 0.35 1244 58S18,26S20
n 19 CH2 twist 1062 1008 20.5 0.5 0.74 1013p 58S19,37S30 1063 1007 27.0 0.4 0.75 1013p 62S19
n 20 CH2 wag 1053 999 15.6 1.1 0.75 1008 60S20,29S18 1050 996 20.1 1.3 0.75 1006 57S20,30S18
n 21 CH2 rock 995 944 38.7 3.1 0.64 966 98S21 999 947 127.5 3.3 0.64 969 99S21
n 22 SiF stretch 948 900 174.7 0.5 0.74 883 45S22,36S25 947 898 129.8 0.9 0.64 879 45S22,30S25
n 23 CH3 rock 916 869 163.0 1.8 0.72 848 70S23 919 872 178.0 1.7 0.69 850 71S23
A.
Ho
rnet
al.
/Jo
urn
al
of
Molecu
lar
Stru
cture
554
(2000)
251
±269
26
4
Table 4 (continued)
Description Gauche Syn
Ab
initioa
Fixed
scaledb
IR
int.c
Raman
actd
dp
ratiod
Obse PED Ab
initioa
Fixed
scaledb
IR
int.c
Raman
actd
dp
ratiod
Obse PED
n 24 CH3 rock 842 799 114.4 0.9 0.67 799 22S24,41S28,
15S26,
11S33
846 802 147.4 1.4 0.75 799 34S24,38S28,
13S33
n 25 CH3 rock 822 779 11.6 2.1 0.74 766 46S25,45S22 823 781 13.9 2.1 0.75 772 45S25,43S22
n 26 CH3 rock 797 756 0.2 2.1 0.75 736 57S26,30S24 797 757 1.0 1.7 0.75 736 61S26,25S24
n 27 SiC stretch 741 703 37.9 3.6 0.52 711 41S27,13S23,29S29 723 686 22.9 5.4 0.75 694 41S27,36S29,11S23
n 28 SiC2 antisymmetric
stretch
727 689 2.5 4.8 0.74 694 46S28,34S24,17S26 725 688 3.1 5.4 0.43 694 50S28,22S26,26S24
n 29 SiC2 symmetric
stretch
620 588 0.7 16.6 0.06 601 56S29,30S27 626 594 0.0 14.3 0.01 606 45S29,34S27
n 30 C±H out-of-plane
bend
540 518 21.2 6.2 0.68 527 25S30,12S36,
32S19,21S38
530 507 21.8 5.4 0.75 515 33S30,30S19,
16S38
n 31 CCSi bend 373 353 10.3 3.6 0.48 365p 46S31,27S33 404 383 19.1 4.4 0.25 394p 42S31,41S36
n 32 SiC2 wag 271 257 13.6 1.0 0.67 273p 43S32,33S36 255 241 7.0 1.7 0.75 267p 71S32
n 33 SiC2 rock 257 244 6.5 1.4 0.71 267p 40S33,11S31,25S37 282 269 11.4 1.1 0.43 273p 68S33,10S37,14S38
n 34 SiC2 deformation 221 210 0.6 1.6 0.52 218 28S34,33S32 199 189 0.4 1.3 0.73 1958 82S34
n 35 methyl torsion 189 189 0.4 2.6 0.75 1958 51S35,21S34,14S36 177 174 0.1 4.1 0.75 175p 76S35,10S36
n 36 CSiF bend 174 172 0.0 1.4 0.69 175p 18S36,29S34,34S35 155 149 0.5 0.5 0.75 151X 36S36,23S35,27S31
n 37 SiC2 twist 166 159 0.2 0.4 0.66 164p 40S37,18S31,13S35,
13S33,14S38
175 167 0.1 0.3 0.72 170p 74S37
n 38 methyl torsion 158 158 0.0 0.1 0.69 ± 76S38,14S37 152 152 0.0 0.0 0.75 ± 92S38
n 39 asymmetric torsion 70 70 0.1 7.7 0.75 95# 68S39,28S30 78 78 0.1 8.4 0.75 101# 62S39,28S30
a Calculated with the MP2/6-31G(d) basis set.b Scaling factors 0.9 for stretching and bending coordinates and 1.0 for torsional coordinates.c Calculated infrared intensities in km/mol from the MP2/6-31G(d) calculation.d Calculated Raman activities in AÊ 4/amu and dp ratios, from RHF/6-31G(d) calculation.e Frequencies are obtained from the annealed spectrum of the nitrogen matrix except for the ones with (p), (X), (1), (8), and (#) signs are taken from infrared gas, infrared solid, argon
matrix, Raman liquid and Raman solid, respectively.
conformer remains in the annealed solid with a minor
amount of the gauche conformer (Figs. 5±7). Further
support for this conclusion is found from the assign-
ments for the CH2 rock and CCSi bend which are
observed at 966 and 370 cm21 for the gauche
conformer. Similarly, the other listed bands, which
disappear upon solidi®cation and annealing, are all
assigned to the gauche conformer and they will be
discussed latter. Therefore, all the spectral data indi-
cate that the syn form is the stable conformer in the
annealed solid.
Variable temperature studies of the infrared spectra
of DVFS dissolved in liquid xenon (Table 5) and
krypton (Table 6) were conducted to determine the
enthalpy difference between the two stable confor-
mers. An important advantage to this temperature
study is that the conformer peaks are better resolved
and the area under them is more easily measured than
bands observed in the infrared spectrum of the gas.
Infrared spectral data from 4000 to 400 cm21 were
obtained at different temperatures between 255 to
21008C for the xenon solution and between 2105
and 21508C for the krypton solution. The spectral
changes in lique®ed krypton of the pairs at 962/965,
710/695 and 522/513 cm21 are shown in Fig. 11.
From all spectral data from lique®ed xenon and
krypton solutions we observed increases in the inten-
sity of the infrared bands assigned to the gauche
conformer as the temperature decreases. This clearly
con®rms the stability of the gauche rotamer over the
syn conformer in these rare gas solutions.
In order to obtain the enthalpy difference, ten
spectral data points were obtained over the tempera-
ture range 255 to 21008C for the xenon solution and
2105 to 21508C for the krypton solution. The inten-
sities of each conformer pair were ®t to the equation
2ln K � �DH=RT�2 �DS=R� where K is the intensity
ratio (Ig/Ic) and it is assumed that DH is not a function
of temperature. Using a least squares ®t of the slope of
the line, a DH value of 53 ^ 9 cm21 was obtained
from the 710/695 cm21 bands from the xenon data.
The pair at 962/965 cm21 was not resolved suf®-
ciently to be measured in the temperature range of
the xenon measurements and, therefore, not utilized
in the calculation. Since the signal-to-noise ratio was
relatively low in the range of 600±500 cm21, we were
A. Horn et al. / Journal of Molecular Structure 554 (2000) 251±269 265
Table 5
Temperature and intensity ratios for conformational study of
dimethyl vinyl ¯uorosilane dissolved in liquid xenon
T (8C) 1000/T (K) I710/I695 2ln K
255 4.58 2.8438 21.1647
260 4.69 2.9173 21.1651
265 4.80 2.8899 21.1774
270 4.92 2.9631 21.1725
275 5.05 3.0203 21.1398
280 5.18 3.0587 21.1794
285 5.31 3.0263 21.1999
290 5.46 3.0630 21.12601
295 5.61 3.1828 21.2459
2100 5.78 3.0814 21.2813
DHa 53 ^ 9
a DH� 53 ^ 9 cm1 (0.64 ^ 0.10 kJ/mol) with the gauche
conformer the more stable form.
Table 6
Temperature and intensity ratios for conformational study of dimethylvinyl ¯uorosilane dissolved in liquid krypton
T(8C) 1000/T (K) I962/I965 2ln k I695/I710 2ln k I51/I513 2ln k
2105 5.95 2.5385 20.9316 3.2050 21.1647 1.9853 20.6858
2110 6.13 2.7410 21.0083 3.2062 21.1651 2.0637 20.7245
2115 6.32 2.7051 20.9951 3.2460 21.1774 2.1420 20.7617
2120 6.53 2.8240 21.0382 3.2300 21.1725 2.3272 20.8447
2125 6.75 2.7941 21.0275 3.1262 21.1398 2.4425 20.8930
2130 6.99 2.8300 21.0403 3.2525 21.1794 2.4469 20.8948
2135 7.23 2.7710 21.0192 3.3200 21.1999 2.4657 20.9025
2140 7.51 2.8501 21.0473 3.5256 21.12601 2.3350 20.8480
2145 7.80 2.8876 21.0604 3.4760 21.2459 2.4022 20.8764
2150 8.12 2.9420 21.0791 3.6014 21.2813
DHa (cm21) 32 ^ 7 39 ^ 8 69 ^ 21
a Average DH� 44 ^ 7 cm21 (0.53 ^ 0.09 kJ/mol) with the gauche conformer the more stable form.
unable to measure DH from the pair at 522/513 cm21.
Utilizing the krypton data for the above three
conformer pairs (Fig. 11), DH values of 32 ^ 7,
39 ^ 21 and 69 ^ 21 cm21 were obtained with an
average value of 44 ^ 7 cm21 (0.53 ^ 0.09 kJ/mol)
with the gauche form the more stable conformer.
Additional infrared spectra of DVFS were recorded
in argon and nitrogen matrices (1:500 and 1:1000)
deposited at 5 and 15 K; the spectra in the argon
matrices are given in Fig. 6, whereas detailed spectra
in a nitrogen matrix are presented in Fig. 7. Suppo-
sedly, the conformational equilibrium of the vapor
phase is maintained when the gas mixture is shock
frozen on the CsI window at 5 or 15 K, provided the
barrier to conformational equilibrium is above 3 and
5 kJ mol21, respectively. When the matrices were
annealed below 20 K some small spectral changes
occurred, which were interpreted as a relaxation of
DVFS in the matrix lattice. The samples were subse-
quently annealed for 10 min at every 3 K between 20
and 37 K for argon and 20 and 34 K for the nitrogen
matrices before being recooled to 5 K and the spectra
recorded.
Prominent changes were observed when the
samples were annealed to ca. 34 K for argon and
32 K for nitrogen. Certain bands were enhanced,
others diminished in intensities after annealing
which are interpreted as a displacement of the confor-
mational equilibrium. Qualitatively, the same inten-
sity changes occurred in the spectra of both matrices,
but they were more prominent in the spectra obtained
from the argon matrix. As we shall see, the infrared
bands which vanished or were reduced in intensity in
the spectra of the crystal were enhanced in the
matrices after annealing, whereas those present in
the crystal spectra were reduced in intensities. These
bands are indicated with arrows pointing upwards or
downwards, respectively, in Table 1. The observed
annealing temperatures (34 and 32 K) suggested that
the conformational barrier is ca. 9 kJ mol21 from the
curves given by Barnes [19]. However, it can be seen
from the spectral data shown in Figs. 5±7 that no
infrared bands disappeared completely in the spectra
of the matrices after annealing. Therefore the enthalpy
difference between the conformers must be quite low
in both matrices since an equilibrium was maintained
at the annealing temperatures at 32±34 K. A rough
estimate using a simple Boltzmann distribution
suggests an enthalpy difference of 17±33 cm21 in
the matrices which is in agreement with the results
from the xenon and krypton solutions in con®rming
that the gauche conformer is the more stable form.
Upon crystallization, bands at 969, 876, 711, 607,
366, 228 and 201 cm21 presented in the Raman
spectra of the liquid and amorphous phases signi®-
cantly diminish and/or disappeared. These bands are
due to the second conformer and seven spectra data
points of the liquid were recorded between 19 and
21208C in order to obtain the enthalpy difference.
Band pairs at 712/696 and 371/396 cm21 were
A. Horn et al. / Journal of Molecular Structure 554 (2000) 251±269266
Fig. 11. Temperature dependent infrared spectra of dimethyl vinyl ¯uorosilane.
selected to obtain DH. The band at 696 cm21 might
have a contribution from the other conformer. A series
of van't Hoff plots based on measured peak heights
were obtained giving DH values of 17 and 33 cm21,
respectively, for the pairs mentioned above with the
average value of 25 ^ 15 cm21 (0.30 ^ 0.18 kJ/mol)
also with the gauche form being the more stable
conformer.
5. Vibrational assignment
The conformational analysis of DVFS shows that
the molecule exists in two stable conformations in the
¯uid phase. The syn conformer has Cs symmetry and
the 39 fundamentals will span the irreducible repre-
sentation 23 A 0 and 16 A 00, whereas for the gauche
conformer with C1 symmetry all the fundamentals
belong to species A. Since most of the observed
bands in the infrared spectrum of the vapor and the
Raman bands of the liquid are common to both the syn
and gauche conformers, the band contours and the
polarization ratios are of limited help in the spec-
tral interpretation. For the sake of similarity, the
fundamentals of both the gauche and syn confor-
mers have been numbered consecutively, instead
of the conventional numbering of the modes
belonging to species A 0 before those of A 00 in
the syn conformer. Guided by the assignments of
the similar normal modes for dimethyl vinyl chlo-
rosilane [7] and also by the calculated spectral
intensities and predicted wavenumbers from ab
initio calculations, we propose the vibrational
assignments listed in Table 1.
The assignments of the carbon±hydrogen modes
have been previously reported [7] for dimethyl vinyl
chlorosilane, and with only minor wavenumber shifts,
they remain essentially the same for DVFS. The
spectra of these two compounds look similar down
to about 1000 cm21. In the region below 1000 cm21,
a few features were observed in the infrared and
Raman spectra of the gas or liquid which disappear
upon crystallization. The C-type Q-branches located
at 969 and 964 cm21 in the infrared spectrum of the
gas are assigned to the CH2 rocks with the syn
conformer having the higher wavenumber. The inten-
sity of this band increases with decreasing the
temperature of the krypton (Fig. 11) solution
con®rming that the gauche form is the more stable
conformer in the gas phase. The Si±C stretch is
assigned to the C-type Q-branch at 710 cm21 for the
gauche form and to the shoulder at 694 cm21 for the
syn conformer where the former has almost disap-
peared from the spectrum of the crystalline solid.
The later one is also assigned to the SiC2 antisym-
metric stretch for the both conformers. It should be
noted that the gauche conformer has a minor contri-
bution to this band but we used it as a conformer band
(Fig. 11) for the enthalpy determination. The CH out-
of-plane bending conformer pair is observed in the
infrared spectrum of the liquid krypton solution at
521 and 513 cm21 for the gauche and syn conformers,
respectively. The CCSi bending mode observed at
365 cm21 for the gauche form is evident in the far
infrared spectra of the gas and amorphous solid but
disappears from the spectrum upon annealing (Fig. 6)
the sample.
In the amorphous and crystalline states the infrared
and Raman bands from 258 to 286 cm21 are assigned
to SiC2 wag and SiC2 rock. The ab initio calculations
predict very weak infrared bands as well as weak
Raman lines for the normal modes below 225 cm21
and the assignments of these remaining ®ve funda-
mentals n 34±n 38, are less certain as shown in Table
1. The Raman bands at 225 and 209 cm21, appearing
as shoulders and their corresponding very weak
infrared counterparts, are assigned to the SiC2 defor-
mation for the gauche. However, the intense peak at
195 cm21 in the Raman spectrum of the liquid is
assigned to both the SiC2 deformation for the syn
conformer and the methyl torsion for the gauche
form. The n 36 and n 350 modes are observed as a very
weak infrared band at 175 cm21 in the spectrum of the
vapor for the gauche and syn conformers, respec-
tively. The weak infrared band of the vapor at
170 cm21 corresponds to the infrared and Raman
bands around 178 cm21 in the condensed phases and
is attributed to n 37 of the syn rotamer and the very
weak infrared band at 164 cm21 (spectrum of the
gas) is assigned to the gauche for the same normal
mode. There are no bands observed for n 38, the methyl
torsion. The asymmetric torsional mode is assigned to
the two bands at 101 and 95 cm21, which were
observed in the Raman spectrum of the liquid and
calculated at 78 and 70 cm21 for the syn and gauche
conformers, respectively.
A. Horn et al. / Journal of Molecular Structure 554 (2000) 251±269 267
6. Discussion
In the present study of DVFS, neither the infrared
band conformer of the gas nor the depolarization ratio
of the liquid was helpful in the determination of the
conformational stability of this molecule. Addition-
ally, the calculated energies for the syn and gauche
rotamers derived from the ab initio calculations have
large uncertainties, but the force constants and the
wavenumbers after appropriate scaling usually give
good agreement with those of the observed fundamen-
tals. Within the group frequency regions for the CH3
and CH2 stretching and deformation vibrations, the
calculated wavenumbers for the syn and gauche
fundamentals are usually separated by less than
5 cm21 (Table 2). Below 1450 cm21 there are 12
instances in which the fundamentals of the syn and
gauche conformers are separated by more than
5 cm21. The largest shifts are calculated for the six
fundamentals n 27, n 28, n 30, n 31, n 32 and n 37 in which
they should be larger than 10 cm21. As expected, most
of the observed syn/gauche conformer separations
predicted pairs are located approximately with the
wavenumber.
The following observed band pairs from the Raman
spectrum of the liquid: 971/963, 883/864, 712/696,
621/613, 371/396, 275/265, 225/209 and 195/
187 cm21 in which the high frequency bands vanished
(or were reduced in intensity) in the infrared and
Raman spectra of the annealed solid are correlated
with the calculated scaled wavenumbers of the syn
and gauche conformers, respectively (Table 4). It
was found from all eight of these pairs that the high
frequency bands can qualitatively be ®tted with the
predicted wavenumbers of the gauche form and the
remaining bands to those of the syn conformer
whereas the opposite interpretation is not feasible.
The experimental and calculated frequencies are
also in reasonable agreement for the n 21, n 27, n 28,
n 31, n 33, n 34 and n 35 fundamentals. Two band pairs
have less convincing assignments where for n 22 the
observed difference is 19 cm21 and that calculated
only 1 cm21 and n 30 which was assigned to overlap-
ping bands at 515 cm21 although a difference of
11 cm21 was predicted. However, we feel that there
are compelling reasons to attribute the vanishing
bands to the gauche conformer, which means that
the syn conformer remains in the crystal even though
the gauche conformer has lower energy than the syn
rotamer in the rare gas solutions, the liquid state and
also in the matrices.
In addition to the band pairs assigned to the syn and
gauche conformers on the basis of spectral changes on
crystallization, described above, the infrared spectra
in argon and nitrogen matrices can frequently give
clues to close lying conformer pairs. Thus, the band
pairs attributed to n 10, n 15, n 17, n 19, n 23, n 25, n 29 and
n 30 observed at 1601, 1411, 1254, 1013, 848, 772, 521
and 515 cm21, respectively, can all be tentatively
assigned to separate conformer bands. As apparent,
each of these pairs of bands are characterized by
intensity changes in one or both matrices after
annealing and they are indicated with arrows in
Table 1. The bands, which are enhanced after
annealing, are assigned to the gauche form, whereas
those that diminish in intensity to the syn conformer.
It is characteristic that in each of these pairs the
wavenumber difference in the matrices is small
(between 2 and 8 cm21) leading to overlapping
bands in the ¯uid phases. Since the bandwidths are
much lower in the matrices the separate bands due to
the syn and gauche conformers can be detected.
Because of matrix, effects frequently encountered
during annealing some of these assignments may be
erroneous. However, if the same general features are
observed in both matrices we can be fairly con®dent
in the experimental results. It should be emphasized
that for the additional band pairs n 21 around 964 cm21
and n 23 at 710 and 694 cm21 the bands changed both
during crystallization and on annealing the matrices
and the conclusions should be de®nitive.
The conformational energy difference in DVFS can
be compared with the corresponding value for related
silanes. In dimethyl vinyl chlorosilane [7] CH2y
CHSi(CH3)2Cl, the gauche conformer also has the
lower energy, with DH (syn±gauche) equal to
0.5 ^ 0.1 kJ mol21 (equal to that of DVFS within
the experimental uncertainty); however, in the present
study the syn form is present in the crystal which is in
contrast to the chloro analogue. The vibrational
spectra of the two conformers are strikingly similar
for DVFS and the corresponding chloro analogue. In
vinylsilyl chloride [5] (CH2yCHSiH2Cl) the syn
conformer was more stable by 1.2 kJ mol21, in the
liquid state revealing increased stability of the syn
conformer when the two methyl groups are absent.
A. Horn et al. / Journal of Molecular Structure 554 (2000) 251±269268
However, the gauche conformer was present in the
crystal [5], as well as in the rare gas solution [6]
which makes this molecule quite different to the situa-
tion in DVFS.
A comparison of the structural parameters
predicted by ab initio calculations (Table 2) with all
basis sets indicates little difference in the parameters
upon conformer changes from the gauche to the syn
form. With a given basis sets, for example 6-31G(d)
and 6-3111G(d,p) with full electron correlations, the
bond distances agree within 0.005AÊ and bond angles
within 18 for the corresponding parameters of the two
rotamers. Even with the larger 6-3111G(2d,2p)
basis set, the differences become insigni®cant for
most of the parameters (Table 2).
Two halogens (F or Cl) and one methyl group
attached to the Si atom leads to methyl vinyl di¯uor-
osilane (CH2yCHSi(CH3)F2) and methyl vinyl
dichlorosilane (CHyCHSi(CH3)Cl2) both of which
the conformational stabilities have been investigated.
In methyl vinyl di¯uorosilane the gauche conformer
is more stable in the rare gas solution [10], but the syn
form is present in the crystal [9]. The synconformer
was the more stable form in the rare gas solution [20]
and this form was also present in the crystal of vinyl
dichlorosilane [8], demonstrating the effect of the
larger chlorine atom compared to the ¯uorine atom
for these similar molecules. It should be noted that
in the latter molecules the syn conformer has both
halogens in the gauche positions compared to the
CyC bond, whereas in the gauche conformer, one of
the halogens is situated in the syn position of the CyC
bond. Finally, in methyl vinyl silane (CH2yCH-
Si(CH3)H2) the single methyl group prefers the
gauche conformation [21] with a DH equal to
1.59 ^ 0.13 kJ mol21 but the syn conformer is present
in the crystal [22]. If the energy difference between
the conformers is low as observed for DVFS, the high
energy conformer, which frequently has the larger
dipole moment, can be preferred in the crystal because
of larger crystallization energies for that conformer
which can overcome the higher conformational
energy.
Acknowledgements
J.R.D. acknowledges the University of Kansas City
Trustees for a Faculty Fellowship award for partial
®nancial support of this research.
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