The second-order Raman spectra of ZnS, ZnSe, and ZnTe are calculated using an anharmonic overlap shell model for their lattice dynamics. These calculations are fitted to the experiments and the corresponding nonlinear polarizabilities of Zn, S, Se, and Te are derived. The systematics of these parameters are discussed. As a by-product the measured relative strengths of the first-order scattering by TO phonons are interpreted with a microscopic-deformation-potential model.
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Schmidt et al. (1979) studied this question.