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 B.
N1 - Funding Information:
The following funding is acknowledged: National Science Foundation (grant No. DMR 1210588 to Venkatraman Gopalan; studentship No. DMR 1210588 to Haricharan Padmanabhan; grant No. DMR-1420620 to Venkatraman Gopalan and Ismaila Dabo; studentship No. DMR-1420620 to Vincent S. Liu, Haricharan Padmanabhan and Jason M. Munro); Ralph E. Powe junior faculty award from Oak Ridge Associated Universities (grant to Ismaila Dabo; studentship to Jason M. Munro); Department of Materials Science and Engineering startup funding (grant to Ismaila Dabo; studentship to Jason M. Munro)
PY - 2018/7
Y1 - 2018/7
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
C2 - 29978849
AN - SCOPUS:85049683429
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 -