Abstract
The inelastic scattering of fast electrons due to phonon excitation is examined using a simple Einstein model. The method of analytic approximation to the atomic electron scattering factor given by Smith and Burge enables analytic expressions for the Fourier coefficients of the imaginary potential due to phonon scattering to be obtained. The Fourier coefficients are computed for several elements and reflections and the temperature dependence is examined. It is concluded that phonon scattering could account for the localization of the complex potential at the atomic positions as required to explain anomalous absorption effects, in agreement with previous results of Yoshioka and Kainuma.
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