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Derivation of the rotation matrix in general rectilinear systems by means of vector and matrix formalism
Author(s) -
Stróz K.
Publication year - 1996
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889896006395
Subject(s) - formalism (music) , notation , rotation matrix , reciprocal , algebra over a field , vector space , matrix (chemical analysis) , pure mathematics , mathematics , physics , mathematical physics , classical mechanics , theoretical physics , geometry , arithmetic , chemistry , art , musical , linguistics , philosophy , visual arts , chromatography
A generalized form of a symmetry operator has been derived by vector and matrix formalism in contrast to the tensor or dyadic notation most often used in the literature. The final equation is based on relations between real and reciprocal space familiar to crystallographers. Typical applications of the formula are also provided.