Optimal factor group for nonsymmorphic space groups

R. Car, G. Ciucci, L. Quartapelle

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The construction of the irreducible representations of single and double nonsymmorphic space groups is discussed. The proof is given that for any symmetry element where the nonsymmorphism plays a role there is a finite group of lowest order such that its irreducible representations engender all the allowable representations of the little group. For most high symmetry elements the order of this optimal factor group is only twice the order of the corresponding point group of the wave vector. The computational advantages of using this group instead of other known factor groups are stressed.

Original languageEnglish (US)
Pages (from-to)1051-1055
Number of pages5
JournalJournal of Mathematical Physics
Issue number6
StatePublished - 1975
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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