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Darwin's approach to X‐ray diffraction on lateral crystalline structures
Author(s) -
Punegov Vasily I.,
Kolosov Sergey I.,
Pavlov Konstantin M.
Publication year - 2014
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s2053273313030416
Subject(s) - reciprocal lattice , diffraction , reciprocal , geometry , space (punctuation) , section (typography) , darwin (adl) , x ray crystallography , crystallography , cross section (physics) , x ray , physics , materials science , optics , mathematics , chemistry , quantum mechanics , computer science , philosophy , linguistics , software engineering , operating system
Darwin's dynamical theory of X‐ray diffraction is extended to the case of lateral ( i.e. , having a finite length in the lateral direction) crystalline structures. This approach allows one to calculate rocking curves as well as reciprocal‐space maps for lateral crystalline structures having a rectangular cross section. Numerical modelling is performed for these structures with different lateral sizes. It is shown that the kinematical approximation is valid for thick crystalline structures having a small length in the lateral direction.