Abstract
Changes in the average isotopic mass, M , produce a trivial effect in the phonon spectra of monoatomic solids, i.e., the variation of phonon frequencies such as M −1/2 . More sophisticated effects also appear. Effects on the frequencies of phonons and electronic excitations due to changes in the mean squared amplitude, 〈 u 2 〉, which also varies like M −1/2 , and effects of the mass fluctuations in isotopically mixed crystals are discussed. The latter can be represented by a complex self-energy whose real part corresponds to a frequency shift and its imaginary part to an increase in phonon linewidth.
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