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The random-phase-approximation formalism describing local fields developed by Adler and by Wiser is evaluated for an insulator for the first time. It is shown that umklapp effects decrease the low-frequency electronic dielectric constant, contrary to what is required to reconcile theory with experiment for most semiconductors. A simple prescription for effects of dynamical correlation is shown to improve agreement with experiment for diamond.
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Vechten et al. (1972) studied this question.
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