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Crystal symmetry for incommensurate helical and cycloidal modulations
Author(s) -
Fabrykiewicz Piotr,
Przeniosło Radosław,
Sosnowska Izabela
Publication year - 2021
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/s205327332100111x
Subject(s) - cycloid , superspace , condensed matter physics , physics , crystal (programming language) , symmetry (geometry) , multiferroics , ferromagnetism , crystal structure , magnetic moment , crystallography , quantum mechanics , chemistry , mathematics , geometry , ferroelectricity , computer science , reducer , supersymmetry , dielectric , thermodynamics , programming language
A classification of magnetic superspace groups compatible with the helical and cycloidal magnetic modulations is presented. Helical modulations are compatible with groups from crystal classes 1, 2, 222, 4, 422, 3, 32, 6 and 622, while cycloidal modulations are compatible with groups from crystal classes 1, 2, m and mm 2. For each magnetic crystal class, the directions of the symmetry‐allowed (non‐modulated) net ferromagnetic moment and electric polarization are given. The proposed classification of superspace groups is tested on experimental studies of type‐II multiferroics published in the literature.