International Tables for Crystallography

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International Tables for Crystallography (2006). Vol. A1, Section 2.4.4
Graphs for translationengleiche subgroups
Volker Gramlich and Hans Wondratschek. International Tables for Crystallography (2011). Vol. A1, ch. 2.4, pp. 433-452  [ doi:10.1107/97809553602060000800 ]

Abstract

This chapter presents graphs for the translationengleiche subgroups of the space groups. In order to fit each graph in the available space, the graphs are `contracted', i.e. each space-group type, specified by its short Hermann–Mauguin symbol and its space-group number, is displayed in a graph at most once. Each graph has a space group at the summit. The field of each space-group type is connected by downward lines to the fields of all space-group types to which its maximal subgroups belong. The chapter is partitioned into four sections: 11 graphs have a cubic summit (Section 2.4.1), 13 graphs have a tetragonal summit (Section 2.4.2), five graphs have a hexagonal summit (Section 2.4.3) and eight graphs have an orthorhombic summit (Section 2.4.4). All other possible graphs are contained within these graphs.


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About International Tables for Crystallography

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.