International Tables for Crystallography

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Point coordinates, symmetry operations and their symbols
W. Fischer and E. Koch. International Tables for Crystallography (2006). Vol. A, ch. 11.1, pp. 810-811  [ doi:10.1107/97809553602060000522 ]

Abstract

Chapter 11.1 deals with the different ways of representing symmetry operations, e.g. as linear equations, as pairs of a 3 × 3 and a 3 × 1 matrix, and as coordinate triplets (cf. `General positions' in Part 7 ). The notation used under the heading `Symmetry operations' in Parts 6 and 7 is explained. This kind of symbol contains information on the type of the symmetry operation, on the location of the corresponding symmetry element and, if necessary, on the glide or screw vector.


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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.