UDC 535.338.42
PHYSICS
Submitted 1968-01-01 | RussiaRxiv: ru-196801.38146 | Translated from Russian

Full Text

UDC 535.338.42

PHYSICS

I. F. KOVALEV, L. A. OZOLIN, M. G. VORONKOV

PRINCIPAL PARAMETERS OF THE VIBRATIONAL RAMAN SPECTRA OF CYCLIC POLYDIMETHYLSILOXANES

(Presented by Academician I. V. Obreimov, 15 XI 1967)

This paper presents the results of measurements of frequencies, integral and peak intensities, degrees of depolarization, and half-widths of lines in the Raman spectra of liquid cyclic polydimethylsiloxanes \([(\mathrm{CH}_3)_2\mathrm{SiO}]_n\) \((n = 4—7)\). Corrected relative scattering coefficients have been calculated in the scales \(5b'^2 + 7g'^2(S)\) and \(5b'^2 + 13g'^2(R)\), as well as the components of the tensor of the derivative of the polarizability.

It is very important to elucidate the regularities in the behavior of the parameters of the Si—O bond as a function of ring size, and also in comparison with linear polydimethylsiloxane chains. They should reflect features in the geometry of the molecule and in the distribution of the electron cloud within it, and indicate possible changes in these factors. Until now, in applying spectroscopic methods to the study of the physicochemical properties of \([(\mathrm{CH}_3)_2\mathrm{SiO}]_n\), only the frequencies of spectral lines and qualitative intensities have been considered \((^{1–6})\).

In the present work the experimental studies were carried out on a DFS-12 instrument by the photoelectric method at a scanning rate of \(0.05—0.07\ \mathrm{cm}^{-1}/\mathrm{sec}\). The samples were studied in the liquid phase at room temperature. The \(802\ \mathrm{cm}^{-1}\) line of cyclohexane was chosen as the standard. For control, the spectra were also photographed with an ISP-51. The calculation of the true parameters was performed using the methods of Bazhulin and Sushchinskii \((^{7,8})\).

The values of the spectral characteristics obtained for the fundamental vibrations are presented in Table 1. The interpretation of the frequencies was carried out taking into account earlier studies of the vibrational spectra \((^{4–6})\). In the spectrum of each compound one can readily distinguish a line lying in the region \(480—495\ \mathrm{cm}^{-1}\) and belonging to the totally symmetric stretching vibration \(\nu_s(\mathrm{Si—O})\) of the Si—O—Si bridge. It is very intense and completely polarized. The frequency of this vibration, on going from the tetramer to more complex rings, increases within a range of \(15\ \mathrm{cm}^{-1}\). The scattering coefficient \(S\) increases in the molecule \(D_6\) \((D = (\mathrm{CH}_3)_2\mathrm{SiO})\) by a factor of 1.5 in comparison with \(D_4\), and in \(D_7\) in comparison with \(D_5\) by 10%. The half-width of the \(\nu_s(\mathrm{Si—O})\) line varies from 19 to \(16\ \mathrm{cm}^{-1}\). In the molecules \(D_4\), \(D_5\), and \(D_6\), \(S\) (or \(R\)) increases in proportion to the number of Si—O—Si units in the ring. In \(D_7\) this parameter correspondingly increases if one takes its summed value for the lines 495 and \(523\ \mathrm{cm}^{-1}\).

Dielectric studies of cyclosiloxanes \((^{9,10})\) showed that they, like linear chains, possess a dipole moment. The ring form at \(n > 3\) is not planar, which is confirmed by X-ray structural and spectroscopic analysis \((^{11,12})\). In both linear and cyclic molecules, considerable internal mobility is observed. In siloxane bridges this phenomenon is associated with internal rotations (“nonplanar” deformation vibrations) and the nonrigidity of the angle

Table 1

Principal parameters of the Raman lines of cyclic polysiloxanes

Interpretation \([(\mathrm{CH}_3)_2\mathrm{SiO}]_4\): Frequency \(\Delta\nu\), cm\(^{-1}\) Integral intensity \(I_\infty\) Intensity in maximum \(I_0\) Half-width \(\delta\), cm\(^{-1}\) Depolarization degree \(\rho\) Scattering coefficient \(S\cdot100\) Tensor derivatives \(\alpha'\): \(b^2\cdot10^8\), cm\(^4\)·g\(^{-1}\) Tensor derivatives \(\alpha'\): \(g^2\cdot10^8\), cm\(^4\)·g\(^{-1}\) Scattering coefficient \(R\cdot100\) \([(\mathrm{CH}_3)_2\mathrm{SiO}]_5\): Frequency \(\Delta\nu\), cm\(^{-1}\) Integral intensity \(I_\infty\) Intensity in maximum \(I_0\) Half-width \(\delta\), cm\(^{-1}\) Depolarization degree \(\rho\) Scattering coefficient \(S\cdot100\) Tensor derivatives \(\alpha'\): \(b^2\cdot10^8\), cm\(^4\)·g\(^{-1}\) Tensor derivatives \(\alpha'\): \(g^2\cdot10^8\), cm\(^4\)·g\(^{-1}\) Scattering coefficient \(R\cdot100\)
\(\delta(\mathrm{SiOSi})\) 147 245 30 16,5 0,71 16 0,13 0,46 25 155 480 50 21 0,82 40 0,08 1,31 65
\(\delta(\mathrm{OSiO})\) 171 165 16 16,5 (0,74) (13) (0,08) (0,37) 20
\(\delta_s(\mathrm{CSiC})\) 199 1075 92 24,5 (0,74) (95) (0,62) (2,81) 150 194 1065 72 33 0,83 111 0,17 3,67 180
\(\delta(\mathrm{CSiC})\) 259 110 10 22 0,72 13 0,10 0,37 20 243
\(\delta(\mathrm{CSiO})\) 341 40 6 18 0,39 8 0,20 0,12 10 293 25 3 21,5 0,39 5 0,12 0,07 6
\(\delta(\mathrm{D})\) 376 349 20 2 29 0,11 6 0,26 0,03 7
452 40 9 8 0,29 10 0,33 0,12 12 389 20 2 23,5 0,34 5 0,15 0,07 6
\(\nu_s(\mathrm{Si}-\mathrm{O})\) 479 640 55 19 0 215 10,30 0 208 488 640 61 18,0 0 277 13,32 0 269
543 530
\(\nu+\delta_\perp\) 633 639
\(\nu_s(\mathrm{Si}-\mathrm{C})\) 660 40 10 6,5 0,68 11 0,11 0,31 17 669 55 10 10,5 0,76 20 0,11 0,60 31
\(\rho(\mathrm{CH}_3),\ \nu_s(\mathrm{Si}-\mathrm{C})\) 691 150 18 16,5 0,84 44 0,04 1,47 72 685 205 22 18,5 0,79 76 0,28 2,39 120
\(\nu_s(\mathrm{Si}-\mathrm{C})\) 715 240 45 10,0 0,11 114 4,78 0,50 120 714 270 55 9,0 0,13 155 6,30 0,80 166
\(\nu_{as}(\mathrm{Si}-\mathrm{C}),\ \rho(\mathrm{CH}_3)\) 792 85 17 12 (0,81) (30) (0,08) (0,96) 48 794 105 16 15,0 0,80 47 0,15 1,51 75
\(\rho(\mathrm{CH}_3),\ \nu_{as}(\mathrm{Si}-\mathrm{C})\) 812 20 3 18,5 (0,81) (7) (0,02) (0,22) 11
\(\rho(\mathrm{CH}_3)\) 867 35 6 15 (0,43) (16) (0,38) (0,27) 20 874 75 6 25,5 0,43 43 1,04 0,74 57
887 25 4 15 (0,43) (12) 0,28 0,20 16
\(\nu_{as}(\mathrm{Si}-\mathrm{O})\) \(\sim1053\) \(\sim1067\)
\(\delta_s(\mathrm{CH}_3)\) 1261 30 8 10,0 0,29 24 0,77 0,28 29 1260 35 8 10,5 0,51 30 0,58 0,61 41
\(\delta_{as}(\mathrm{CH}_3)\) 1408 150 15 24,5 0,85 94 0,04 3,20 155 1411 137 15 23,0 0,81 110 0,28 3,57 170
\(\nu_s(\mathrm{C}-\mathrm{H})\) 2905 1300 128 18,5 0,02 3432 163 2,5 3348 2903 1260 132 19,0 0,02 4145 194 3,3 4080
\(\nu_{as}(\mathrm{C}-\mathrm{H})\) 2964 980 102 18,0 0,70 1664 16,12 46,22 2?28 2963 1000 105 19,0 0,78 2050 8,8 64,3 3260
\(\delta(\mathrm{SiOSi})\) 179 610 50 23,5 0,80 63 0,20 2,01 103 147 (525) (0,79) (57) (0,21) (1,80) (91)
\(\delta(\mathrm{OSiO})\) 173 (570) (0,79) (73) (0,27) (2,29) (116)
\(\delta_s(\mathrm{CSiC})\) 190 880 55 32,5 0,86 105 0 3,61 173 227
\(\delta(\mathrm{CSiC})\) 224 239
\(\delta(\mathrm{CSiO})\) 261 340
325 371
\(\delta(\mathrm{D})\) 394 398
493 615 64 17,0 0 321 15,42 0 310 495 500 53 16,0 0 322 14,50 0 292
\(\nu_s(\mathrm{Si}-\mathrm{O})\) 523 (90) (53)
\(\nu+\delta_\perp\) 583 563
633 620
Assignment
$\nu_s(\mathrm{Si}-\mathrm{C})$ 660 26
$\nu_s(\mathrm{Si}-\mathrm{O})$, $\rho(\mathrm{CH}_3)$ 688 140 26 12.0 0.86 61 0 2.09 100 690 210 24 15.5 9.31 177
$\nu_s(\mathrm{Si}-\mathrm{C})$ 712 330 50 9.0 0.12 159 6.57 0.76 170 713 220 40 9.5 0.66 191
$\nu_{as}(\mathrm{Si}-\mathrm{C})$ 798 120 16 17.0 0.85 61 0.26 2.07 100 797 145 12 20.0 2.62 140
$\rho(\mathrm{CH}_3)$ 867 18.0 0.49 32 0.66 0.63 869 66 6 19.0 0.83 63
$\nu_{as}(\mathrm{Si}-\mathrm{O})$ $\sim 1043$ $\sim 1050$
$\delta_s(\mathrm{CH}_3)$ 1260 27 8 12.0 0.52 33 0.59 0.65 39 1262 34 6 12.0 0.53 54
$\delta_{as}(\mathrm{CH}_3)$ 1411 125 7 22.5 0.86 417 49 2.05 245 1413 150 43 20.0 5.43 370
$\nu_s(\mathrm{C}-\mathrm{H})$ 2902 425 127 25.0 0.03 4890 227 5.1 4833 2906 4245 117 19.5 0.43 5645
$\nu_{as}(\mathrm{C}-\mathrm{H})$ 2962 1065 105 19.0 0.85 2514 1.66 85.0 4120 2966 1025 94 20.5 97.2 4664

Notes. 1. Reproducibility of the results in the range 5–10%; in parentheses are indicated less precise values.
2. $\delta(D)$ — vibrations associated with deformation angles of the cyclic framework; $\nu+\delta_{\perp}$ — combinations of the vibration $\nu_s(\mathrm{Si}-\mathrm{O}-\mathrm{Si})$ and “out-of-plane” vibrations of the cycle.
3. In parentheses $(^{3},\,^{4})$ are additionally recorded lines lying in the region $\tilde{\nu}<90\ \mathrm{cm}^{-1}$.
4. Discussion of the parameter $P$, carried out, for example, in $(^{13})$.

$\mathrm{Si}-\mathrm{O}-\mathrm{Si}$. The mentioned feature of the molecules under consideration is clearly manifested in the distribution of scattering intensities in the spectrum. The share of deformation vibrations of the framework $\mathrm{C}_x\mathrm{Si}_y\mathrm{O}_z$ in cyclic compounds accounts for a significant total value, varying within the limits of 130–170 units. Linear polydimethylsiloxane chains are characterized by greater freedom of deformation. If in octamethylcyclotetrasiloxane $D_4$ each $\mathrm{Si}-\mathrm{O}-\mathrm{Si}$ unit corresponds to a value $S$ of 40 units, then in hexamethyldisiloxane it is 100 units. $(^{13})$ The frequency of the symmetric stretching vibration $\nu_s(\mathrm{Si}-\mathrm{O}-\mathrm{Si})$ in $[(\mathrm{CH}_3)_3\mathrm{Si}]_2\mathrm{O}$ is higher by $39\ \mathrm{cm}^{-1}$.

The antisymmetric stretching vibration $\nu_{as}(\mathrm{Si}-\mathrm{O}-\mathrm{Si})$ appears in the Raman spectrum as a very weak line lying in the region 1030–1070 $\mathrm{cm}^{-1}$. In the infrared absorption spectrum it is registered in the interval 1060–1090 $\mathrm{cm}^{-1}$ and is very intense. The possible position of the vibrations $\nu(\mathrm{Si}-\mathrm{O}-\mathrm{Si})$ in compounds of various classes is discussed in the review $(^{14})$.

The vibrations in the $\mathrm{CH}_3$ groups are sufficiently isolated from one another. This is confirmed by the course of the intensities in the series of molecules considered. The symmetric line $\nu_s(\mathrm{C}-\mathrm{H})$ gives a fraction of the scattered light two times greater than the antisymmetric $\nu_{as}(\mathrm{C}-\mathrm{H})$. In both the first and the second cases the scattering coefficients increase linearly with an increase in the number of methyl groups in the molecule. The deviation from linearity is no more than 5%. Additivity of the characteristics is also manifested fairly well for the internal and external deformation vibrations $\delta(\mathrm{CH}_3)$.

In accordance with the selection rules, the intense polarized line 710–715 $\mathrm{cm}^{-1}$ should be assigned to the totally symmetric stretching vibration $\nu_s(\mathrm{Si}-\mathrm{C})$. This line is characteristic in frequency, intensity, degree of depolarization, and half-width in all the compounds considered. To $\nu_{as}(\mathrm{Si}-\mathrm{C})$ belongs the depolarized line 792–799 $\mathrm{cm}^{-1}$. For the corresponding vibration the scattering $S$ also increases on going to more complex cyclosiloxanes, but no strict linear dependence is observed for the total intensity. The half-width of the antisymmetric line increases systematically as the ring becomes more complex, which may be explained by an increase in the mutual influence between this vibration and the ring vibrations.

The depolarized line 685–691 $\mathrm{cm}^{-1}$

cannot be regarded as belonging only to \(\nu_s(\mathrm{Si—C})\). This vibration is, to a large extent, an asymmetric torsional vibration of the methyl groups.

The low frequencies 147–452 cm\(^{-1}\) correspond to deformation vibrations of the skeleton. Their assignment to normal vibrations should be regarded as preliminary. In \(D_5\) and \(D_6\) the lines at 194 and 190 cm\(^{-1}\) are anomalously broad and, apparently, double.

The authors express their deep gratitude to I. V. Obreimov for his attention to and interest in the work.

Saratov Pedagogical Institute
Institute of Organic Synthesis
Academy of Sciences of the Latvian SSR

Received
14 XI 1967

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Submission history

UDC 535.338.42