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.
Funder
National Science Foundation
Publisher
International Union of Crystallography (IUCr)
Subject
Inorganic Chemistry,Physical and Theoretical Chemistry,Condensed Matter Physics,General Materials Science,Biochemistry,Structural Biology
Reference19 articles.
1. Dynamical symmetries of time-periodic Hamiltonians
2. Selection Rules for the High Harmonic Generation Spectra
3. Aroyo, M. I. (2016). Editor. Space-Group Symmetry. International Tables for Crystallography, Vol. A, 6th ed. Chichester: Wiley.
4. Attfield, M., Barnes, P., Cockcroft, J. K. & Driessen, H. (1997). Advanced Certificate in Powder Diffraction on the Web. Birkbeck College, London, UK.
5. Brown, H., Bülow, R., Neubüser, J., Wondratschek, H. & Zassenhaus, H. (1978). Crystallographic Groups of Four-Dimensional Space. New York: Wiley.
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