Abstract
The results of a calculation of the static dielectric function and the phonon frequencies of the covalent semiconductors C, Si, Ge are discussed and compared with other calculations. The present article gives evidence of the inadequacy of the extreme tight-binding model to calculate phonon dispersion curves. In this model consistency between the electron-ion and crystal pseudopotential cannot be achieved and consequently the generalised acoustic sum rule is not satisfied. Therefore the model is not appropriate to explain phonon properties of crystals.
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