International Tables for Crystallography

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Symbols and properties of lattice complexes
W. Fischer and E. Koch. International Tables for Crystallography (2006). Vol. A, ch. 14.2, pp. 848-872  [ doi:10.1107/97809553602060000531 ]

Abstract

The reference symbols of lattice complexes are described and the terms `degrees of freedom' of a lattice complex, `limiting complex', `comprehensive complex' and `Weissenberg complex' are defined and illustrated by examples. Then the descriptive symbols of lattice complexes are introduced, their properties are described and their interpretation is demonstrated by numerous examples. Tables 14.2.3.1 and 14.2.3.2 give the explicit assignment of the Wyckoff positions of all plane groups and space groups, respectively, to Wyckoff sets and to lattice complexes. For each Wyckoff position, the reference symbol of the corresponding lattice complex is tabulated. In addition, a descriptive symbol is given that describes the arrangement of points in the corresponding point configurations. It refers directly to the coordinate description of the Wyckoff position.


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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.