Subperiodic groups isomorphic to factor groups of reducible space groups

Daniel B. Litvin, Vojtěch Kopský

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

A relationship exists between factor groups of space groups and subperiodic groups. This relationship, an isomorphism between factor groups of reducible space groups and subperiodic groups, can be used in the derivation of higher-dimensional space groups, of lattices of space groups, and of irreducible representations of space groups. Tables of the layer and rod subperiodic groups isomorphic to factor groups of reducible space groups are explicitly given. The manifestation of this relationship, in terms of the symmetry diagrams of space groups and subperiodic groups, is also discussed.

Original languageEnglish (US)
Pages (from-to)370-374
Number of pages5
JournalActa Crystallographica Section A: Foundations of Crystallography
Volume56
Issue number4
DOIs
StatePublished - Dec 1 2000

All Science Journal Classification (ASJC) codes

  • Structural Biology

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