A microscopic theory of lattice dynamics of ionic crystals is developed in terms of non-orthogonal highly localized wave functions. It is shown that this approach is in close correspondence to some shell models and leads to a microscopic understanding of the model parameters. The phonon dispersion of LiD has been calculated without using any adjustable parameters and it agrees with experiment to within 10% on the average.
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R. Zeyher (1975) studied this question.
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