Spatio-temporal symmetry - crystallographic point groups with time translations and time inversion

Vincent S. Liu; Brian K. Vanleeuwen; Jason M. Munro; Haricharan Padmanabhan; Ismaila Dabo; Venkatraman Gopalan; Daniel B. Litvin

doi:10.1107/S2053273318004667

Spatio-temporal symmetry - crystallographic point groups with time translations and time inversion

Vincent S. Liu, Brian K. Vanleeuwen, Jason M. Munro, Haricharan Padmanabhan, Ismaila Dabo, Venkatraman Gopalan, Daniel B. Litvin

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	399-402
Number of pages	4
Journal	Acta Crystallographica Section A: Foundations and Advances
Volume	74
Issue number	4
DOIs	https://doi.org/10.1107/S2053273318004667
State	Published - Jul 2018

All Science Journal Classification (ASJC) codes

Structural Biology
Biochemistry
General Materials Science
Condensed Matter Physics
Physical and Theoretical Chemistry
Inorganic Chemistry

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abstract = "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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AU - Liu, Vincent S.

AU - Vanleeuwen, Brian K.

AU - Munro, Jason M.

AU - Padmanabhan, Haricharan

AU - Dabo, Ismaila

AU - Gopalan, Venkatraman

AU - Litvin, Daniel B.

PY - 2018/7

Y1 - 2018/7

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AB - 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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Spatio-temporal symmetry - crystallographic point groups with time translations and time inversion

Abstract

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