International Tables for Crystallography

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International Tables for Crystallography (2006). Vol. A1, Section 3.1.3
Guide to the tables
Ulrich Müller. International Tables for Crystallography (2011). Vol. A1, ch. 3.1, pp. 466-472  [ doi:10.1107/97809553602060000802 ]

Abstract

Group–subgroup relations among space groups imply definite relations between their Wyckoff positions and they often involve cell and coordinate transformations. This chapter describes the arrangement of the tables of relations given in Chapter 3.2 . Aspects concerning the relations of the Wyckoff positions and the cell and coordinate transformations are discussed with the aid of several examples. Attention is drawn to details that have to be watched to avoid errors when using the tables. In particular, some intricate problems that can arise from origin shifts and from the use of nonconventional settings of space groups are pointed out.


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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.