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Spatio‐temporal symmetry – crystallographic point groups with time translations and time inversion
Author(s) -
Liu Vincent S.,
VanLeeuwen Brian K.,
Munro Jason M.,
Padmanabhan Haricharan,
Dabo Ismaila,
Gopalan Venkatraman,
Litvin Daniel B.
Publication year - 2018
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/s2053273318004667
Subject(s) - stereographic projection , point group , point reflection , symmetry operation , group (periodic table) , crystallographic point group , symmetry (geometry) , one dimensional symmetry group , translational symmetry , inversion (geology) , translation (biology) , symmetry group , notation , point (geometry) , crystallography , geometry , physics , mathematics , crystal structure , arithmetic , chemistry , quantum mechanics , geology , paleontology , biochemistry , structural basin , messenger rna , gene
The crystallographic symmetry of time‐periodic phenomena has been extended to include time inversion. The properties of such spatio‐temporal crystallographic point groups with time translations and time inversion are derived and one representative group from each of the 343 types has been tabulated. In addition, stereographic symmetry and general‐position diagrams are given for each representative group. These groups are also given a notation consisting of a short Hermann–Mauguin magnetic point‐group symbol with each spatial operation coupled with its associated time translation.