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 | |
| State | Published - Jul 1 2018 |
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All Science Journal Classification (ASJC) codes
- Structural Biology
- Biochemistry
- Materials Science(all)
- Condensed Matter Physics
- Physical and Theoretical Chemistry
- Inorganic Chemistry
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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 journal › Article
TY - JOUR
T1 - Spatio-temporal symmetry - crystallographic point groups with time translations and time inversion
AU - Liu, Vincent S.
AU - Vanleeuwen, Brian K.
AU - Munro, Jason M.
AU - Padmanabhan, Haricharan
AU - Dabo, Ismaila
AU - Gopalan, Venkatraman
AU - Litvin, Daniel Bernard
PY - 2018/7/1
Y1 - 2018/7/1
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=85049683429&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85049683429&partnerID=8YFLogxK
U2 - 10.1107/S2053273318004667
DO - 10.1107/S2053273318004667
M3 - Article
VL - 74
SP - 399
EP - 402
JO - Acta Crystallographica Section A: Foundations and Advances
JF - Acta Crystallographica Section A: Foundations and Advances
SN - 0108-7673
IS - 4
ER -