International
Tables for Crystallography Volume A Space-group symmetry Edited by Th. Hahn © International Union of Crystallography 2006 |
International Tables for Crystallography (2006). Vol. A, ch. 1.3, p. 5
Section 1.3.1. Printed symbols for symmetry elements and for the corresponding symmetry operations in one, two and three dimensions^{a}Institut für Kristallographie, Rheinisch-Westfälische Technische Hochschule, Aachen, Germany |
1.3.1. Printed symbols for symmetry elements and for the corresponding symmetry operations in one, two and three dimensions
For `reflection conditions', see Tables 2.2.13.2 and 2.2.13.3 .
^{†}In the rhombohedral space-group symbols (161) and (167), the symbol c refers to the description with `hexagonal axes'; i.e. the glide vector is , along [001]. In the description with `rhombohedral axes', this glide vector is , along [111], i.e. the symbol of the glide plane would be n: cf. Section 4.3.5
.
^{‡}For further explanations of the `double' glide plane e, see Note (x) below. ^{§}Glide planes d occur only in orthorhombic F space groups, in tetragonal I space groups, and in cubic I and F space groups. They always occur in pairs with alternating glide vectors, for instance and . The second power of a glide reflection d is a centring vector. ^{¶}Only the symbol m is used in the Hermann–Mauguin symbols, for both point groups and space groups. ^{††}The inversion point is a centre of symmetry if n is odd. |