N. Zotov et al., Calculation of Raman spectra and vibrational properties of silicate glasses: Comparison between Na2Si4O9 and SiO2 glasses, PHYS REV B, 60(9), 1999, pp. 6383-6397
First calculations of the vibrational density of states (VDOS), the charact
er of the vibrational modes, and the polarized Raman spectra of depolymeriz
ed alkali silicate glass with 20 mol% Na2O (Na2Si4O9 glass) using Kirkwood-
type potential and computer generated models with periodic boundary conditi
ons are presented and compared with amorphous SiO2 (a-SiO2). The effects of
depolymerization on the localization, bridging oxygen motion, phase quotie
nt, as well as the newly proposed stretching character and atomic participa
tion ratios of the vibrational modes are quantitatively analyzed. The band
edges are shown to correspond to strongly localized modes. All vibrational
characteristics have singularities near the band edges. The calculated Rama
n spectra are, generally, in good agreement with experiment. The parallel (
VV) polarized Raman spectra are shown to arise mainly from a bond-stretchin
g scattering mechanism which depends on the derivative of the parallel bond
polarizability. On the contrary, the depolarized VH spectra arise from mix
ed bond-stretching and bond-bending scattering mechanisms. It is shown that
the perpendicular polarizability of the silicon-bridging oxygen bonds is a
n order of magnitude smaller than the derivative of the parallel bond polar
izability and that their ratio of about 0.1 is not affected by the presence
of short-range disorder and depolymerization. The derivative of the parall
el bond polarizability for the silicon-nonbridging oxygen bonds is twice la
rger than that for the silicon-bridging oxygen bonds. Partial Raman spectra
of short-range units with different number of nonbridging oxygens (Q speci
es) in the Na2Si4O9 glass are calculated and compared with empirically esta
blished rules for determination of Q species from polarized Raman spectra.
[S0163-1829(99)01333-8].