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 Bernard Litvin

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)399-402
Number of pages4
JournalActa Crystallographica Section A: Foundations and Advances
Volume74
Issue number4
DOIs
StatePublished - Jul 1 2018

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Point groups
Crystal symmetry
inversions
symmetry
coding
diagrams

All Science Journal Classification (ASJC) codes

  • Structural Biology
  • Biochemistry
  • Materials Science(all)
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry
  • Inorganic Chemistry

Cite this

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Spatio-temporal symmetry - crystallographic point groups with time translations and time inversion. / Liu, Vincent S.; Vanleeuwen, Brian K.; Munro, Jason M.; Padmanabhan, Haricharan; Dabo, Ismaila; Gopalan, Venkatraman; Litvin, Daniel Bernard.

In: Acta Crystallographica Section A: Foundations and Advances, Vol. 74, No. 4, 01.07.2018, p. 399-402.

Research output: Contribution to journalArticle

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AU - Gopalan, Venkatraman

AU - Litvin, Daniel Bernard

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