The theory of the excitation of atomic inner-shells in crystals by fast electrons

  • Saldin D
  • Rez P
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We review the theory of the excitation of electrons from atomic inner
shells in crystals as relevant to microanalysis in the transmission
electron microscope and suggest several improvements and generalizations.
The orthodox theory, originating with Kainuma, represents the fast
electrons as Bloch waves and the core and ejected electrons as tight-binding
wavefunctions. For several reasons we consider it more satisfactory
to represent the core electron as a purely atomic wavefunction and
the ejected electron as a sum of spherical waves centred on the atom
in question. This formulation is ideally suited for generalization
to calculate fine-structure effects such as those observed in extended
electron energy-loss fine structure and electron energy-loss near-edge
structure. We show that the apparent lack of momentum conservation
in the excitation process, commented on by Maslen and Rossouw (1983)
and Meekison and Whelan (1983) has a simple explanation based on
the character of the core wavefunction.

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