Abstract
We present a microscopic calculation of the zone-center phonon frequencies of silicon. The electronic contributions to the phonons are fully incorporated into the dynamical matrix via the dielectric matrix ${\ensuremath{\epsilon}}_{\stackrel{\ensuremath{\rightarrow}}{\mathrm{G}},\stackrel{\ensuremath{\rightarrow}}{\mathrm{G}}}$. The acoustic sum rule is shown to be satisfied.
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