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Wide angle X‐ray dynamical diffraction by deformed crystals: recurrence relations
Author(s) -
Pavlov K. M.,
Paganin D. M.,
Vine D. J.,
Kirste L.
Publication year - 2007
Publication title -
physica status solidi (a)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.532
H-Index - 104
eISSN - 1862-6319
pISSN - 1862-6300
DOI - 10.1002/pssa.200675663
Subject(s) - diffraction , reciprocal lattice , bragg's law , scattering , formalism (music) , homogeneous , optics , dynamical theory of diffraction , reflection (computer programming) , reflection coefficient , x ray crystallography , physics , lattice (music) , recurrence relation , diffraction topography , amplitude , reciprocal , condensed matter physics , mathematical analysis , mathematics , acousto optics , diffraction grating , statistical physics , art , musical , computer science , acoustics , visual arts , programming language , linguistics , philosophy
Dynamical wide‐angle multiwave X‐ray diffraction from a deformed crystal was considered, for the special case when no more than one strong reflection occurs at a time. The obtained set of equations can be transformed to the Takagi two‐beam approximation if the scattering vector is close to a vector of the reciprocal lattice. The new formalism was employed to obtain recurrence relations for the amplitude reflection coefficient corresponding to laterally homogeneous multilayer structures for the case of coplanar Bragg diffraction. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)