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Elke Koch, Heidrun Sowa

The cubic limiting complexes of lattice complexes with trigonal characteristic symmetry

Point configurations with cubic inherent symmetry may be generated within certain trigonal space groups. The corresponding limiting-complex relationships were stud ied. They are caused by a specialization of the axial ratio c/a and require also special coordinate parameters in most cases.
The limiting complexes were derived with the aid of group-subgroup relationships. The material was checked making use of the occurrence of cubic sphere packings within trigonal space groups. The results are presented in a table referring to all lattice complexes with rhombohedral characteristic space groups (two invariant, five univariant, four bivariant, four trivariant) and to one univariant, one bivariant and one trivariant lattice complex with trigonal characteristic space groups.

Zeitschrift für Kristallographie, Oldenbourg Wissenschaftsverlag

Print ISSN: 0044-2968
Volume: 220, 11/2005
Pages: 983 - 986

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