Multiplicities for space group representations
- 1 April 1979
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 20 (4) , 664-670
- https://doi.org/10.1063/1.524108
Abstract
The multiplicity formula for nonsymmorphic space group representations is reinvestigated by using explicitly projective representations for the little cogroups Pq↘≃Gq↘/T. Thereby useful identities and relations concerning the wave vector selection rules are derived for various cases which may occur for the elements of the Brillouin zone. These relations allow for nearly all cases a closed expression for the multiplicity without reference to a special space group.Keywords
This publication has 4 references indexed in Scilit:
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- Induced projective representationsJournal of Mathematical Physics, 1977
- Selection rules for the space group of cuprite, the symmetry points and linesJournal de Physique, 1976
- Selection rules for the space group of Cu2O, at four symmetry points of the Brillouin zoneJournal de Physique, 1975