International Tables for Crystallography


Graphs for klassengleiche subgroups
Volker Gramlich and Hans Wondratschek. International Tables for Crystallography (2006). Vol. A1, ch. 2.5, pp. 415-425  [ doi:10.1107/97809553602060000546 ]

Abstract

This chapter presents 29 contracted graphs for the maximal klassengleiche subgroups of the space groups of the 32 crystal classes. The graphs for crystal classes 1, [\overline{1}] and [\overline{6}] are not included, because in these classes there is only one space-group type and their diagrams would be trivial. Isomorphic subgroups are not indicated, because each space group has an infinite number of them. In case of mutual group–subgroup relations, e.g. [P2]–[C2] or [P3_1]–[P3_2], group and subgroup are connected by horizontal arrows which point from the group to the subgroup.

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International Tables for Crystallography is the definitive resource and reference work for crystallography. The multi-volume series comprises articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the structure and properties of materials.