Point coordinates, symmetry operations and their symbols

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. Keywords: point coordinates; coordinate triplets; symmetry operations; symbols