An evaluation of the exchange and correlation energy of semiconducting systems has been attempted by using a model dielectric function with a finite static limit and assuming complete translational invariance. The same procedure has been used as in the analogous calculation for the electron gas. The resulting expression has been integrated without further approximations and its limit as epsilon 0 to infinity has been found to compare satisfactorily with the Nozieres-Pines interpolation formula (1958), for the electron gas. Numerical results are given for electron densities and static dielectric constants corresponding to the group IV semiconductors.
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Aymerich et al. (1976) studied this question.
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