Inelastic scattering of fast electrons by crystals

L. J. Allen and T. W. Josefsson
Phys. Rev. B 52, 3184 – Published 1 August 1995
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Abstract

Generalized fundamental equations for electron diffraction in crystals, which include the effect of inelastic scattering described by a nonlocal interaction, are derived. An expression is obtained for the cross section for any specific type of inelastic scattering (e.g., inner-shell ionization, Rutherford backscattering). This result takes into account all other (background) inelastic scattering in the crystal leading to absorption from the dynamical Bragg-reflected beams (in practice mainly due to thermal diffuse scattering). There is a contribution to the cross section from all absorbed electrons, which form a diffuse background, as well as from the dynamical electrons. The approximations involved in assuming that the interactions leading to inelastic scattering can be described by a local potential are discussed, together with the corresponding expression for the cross section. It is demonstrated by means of an example for K-shell electron energy loss spectroscopy that nonlocal effects can be significant.

  • Received 23 February 1995

DOI:https://doi.org/10.1103/PhysRevB.52.3184

©1995 American Physical Society

Authors & Affiliations

L. J. Allen and T. W. Josefsson

  • School of Physics, University of Melbourne, Parkville, Victoria 3052, Australia

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Issue

Vol. 52, Iss. 5 — 1 August 1995

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