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Penn's model of an isotropic semiconductor is used to calculate ε(q), the diagonal part of the static micro-scopic dielectric function. Penn's results have been extended beyond q=KF. This region is important in developing a quantum theory of lattice vibrations of diamond and zinc-blende crystals. Explicit results are given for the range 0<q<4KF.
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G. Srinivasan (1969) studied this question.
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