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Extension of Hall symbols of crystallographic space groups to magnetic space groups
Author(s) -
González-Platas Javier,
Katcho Nebil A.,
Rodríguez-Carvajal Juan
Publication year - 2021
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/s1600576720015897
Subject(s) - extension (predicate logic) , space (punctuation) , space group , group (periodic table) , hall effect , parsing , symmetry (geometry) , transformation (genetics) , mathematics , physics , pure mathematics , theoretical physics , computer science , magnetic field , quantum mechanics , geometry , chemistry , x ray crystallography , programming language , diffraction , operating system , biochemistry , gene
The Hall symbols for describing unambiguously the generators of space groups have been extended to describe any setting of the 1651 types of magnetic space groups (Shubnikov groups). A computer program called MHall has been developed for parsing the Hall symbols, generating the full list of symmetry operators and identifying the transformation to the standard setting.