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An Assessment of the High‐Energy Approximation in the Dynamical Theory of Electron Diffraction
Author(s) -
Kim H. S.,
Sheinin S. S.
Publication year - 1982
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221090241
Subject(s) - diffraction , electron diffraction , eigenvalues and eigenvectors , electron , physics , cathode ray , beam (structure) , energy (signal processing) , optics , computational physics , quantum mechanics
The high energy approximation in the dynamical theory of electron diffraction is assessed for both the symmetrical Laue and non‐symmetrical Laue cases. In order to carry out this assessment an exact form of the theory, expressed as an eigenvalue equation, is first developed. The results obtained show that for the normal operating conditions which prevail in the electron microscope examination of crystals, the errors introduced by the high‐energy approximation in the symmetrical Laue case are small. In the non‐symmetrical Laue case, the errors obtained for strong beam diffraction conditions are also small. For weak beam diffraction conditions, however, significant errors can be obtained.