期刊
ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES
卷 74, 期 -, 页码 399-402出版社
INT UNION CRYSTALLOGRAPHY
DOI: 10.1107/S2053273318004667
关键词
spatio-temporal symmetry; time translations; time inversion; point groups
资金
- National Science Foundation [DMR 1210588, DMR-1420620]
- Oak Ridge Associated Universities
- Department of Materials Science and Engineering
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1210588] Funding Source: National Science Foundation
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.
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