TY - JOUR
T1 - Subperiodic groups isomorphic to factor groups of reducible space groups
AU - Litvin, Daniel B.
AU - Kopský, Vojtěch
PY - 2000/12/1
Y1 - 2000/12/1
N2 - 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.
AB - 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.
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U2 - 10.1107/S0108767300004013
DO - 10.1107/S0108767300004013
M3 - Article
AN - SCOPUS:0034486293
SN - 0108-7673
VL - 56
SP - 370
EP - 374
JO - Acta Crystallographica Section A: Foundations of Crystallography
JF - Acta Crystallographica Section A: Foundations of Crystallography
IS - 4
ER -