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Approximations to the Systematic Many‐Beam Case of High‐Energy Electron Diffraction. I. Transition from Two‐Beam to Many‐Beam Interaction
Author(s) -
Kästner G.
Publication year - 1988
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.2221450203
Subject(s) - eigenvalues and eigenvectors , diffraction , beam (structure) , electron diffraction , physics , electron , matrix (chemical analysis) , stochastic matrix , crystal (programming language) , cathode ray , statistical physics , mathematics , quantum mechanics , optics , materials science , computer science , statistics , markov chain , composite material , programming language
Abstract The systematic many‐beam case of electron diffraction of non‐centrosymmetric crystals is treated on solving the fundamental (eigenvalue) equation by approximate analytical diagonalization of the suitably scaled and re‐indexed dynamical matrix. Its dependence on the crystal parameters and on the accelerating voltage is used to gradually select and classify approximate dynamical solutions and kinematical corrections. The results imply a convenient, scaled version of Bethe's correction of the periodic potential terms.