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A Particular Many Beam Situation in Transmission Electron Diffraction
Author(s) -
Serneels R.,
Gevers R.
Publication year - 1971
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.2220450212
Subject(s) - eigenvalues and eigenvectors , reciprocal , physics , cathode ray , lattice (music) , beam (structure) , diffraction , electron , reciprocal lattice , electron diffraction , amplitude , atomic physics , optics , computational physics , quantum mechanics , acoustics , philosophy , linguistics
A systematic analytical and numerical study is made of the many beam situation where the reciprocal lattice vector 2 g is in exact Bragg orientation. Absorption effects are neglected. In a first part the three beam case (0, g , 2 g ) is studied for different electron accelerating potentials. Analytical expressions for the amplitudes and intensities of the different beams are derived. Special attention is also given for the energy dependence of the eigenvalues and eigenvectors of the dynamical matrix. In a second part the influence of the systematic reflections 3 g and − g is investigated. Intensity calculations are performed to check the efficiency of the three beam calculations at different electron energies and for different types of reflections.