Abstract
A concentration-dependent model using the effect of nonrandomness on long-wavelength optical phonons in a mixed crystal $A{B}_{1\ensuremath{-}x}{C}_{x}$ has been investigated. The main features of the model are (1) a mixing parameter $\ensuremath{\lambda}$ to describe the interaction between atoms $B$ and $C$, (2) two-mode behavior in general, reducing to one-mode behavior at $\ensuremath{\lambda}=0$, and (3) only two optical frequencies for exact $x=0$ and 1 in the case of diatomic crystals. The model has been applied to $\mathrm{Zn}{\mathrm{S}}_{1\ensuremath{-}x}{\mathrm{Se}}_{x}$ to investigate the phonon dispersion curves in the symmetry directions. The results for $x=0, 0.2, \mathrm{and} 1.0$ are found to be in agreement with available experimental values.
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