International Tables for Crystallography (2006). Vol. A, ch. 8.3, pp. 732-740
doi: 10.1107/97809553602060000516

Chapter 8.3. Special topics on space groups

Contents

  • 8.3. Special topics on space groups  (pp. 732-740) | html | pdf | chapter contents |
    • 8.3.1. Coordinate systems in crystallography  (p. 732) | html | pdf |
    • 8.3.2. (Wyckoff) positions, site symmetries and crystallographic orbits  (pp. 732-734) | html | pdf |
    • 8.3.3. Subgroups and supergroups of space groups  (pp. 734-736) | html | pdf |
      • 8.3.3.1. Translationengleiche or t subgroups of a space group  (p. 735) | html | pdf |
      • 8.3.3.2. Klassengleiche or k subgroups of a space group  (p. 735) | html | pdf |
      • 8.3.3.3. Supergroups  (pp. 735-736) | html | pdf |
    • 8.3.4. Sequence of space-group types  (p. 736) | html | pdf |
    • 8.3.5. Space-group generators  (pp. 736-738) | html | pdf |
      • 8.3.5.1. Selected order for non-translational generators  (pp. 737-738) | html | pdf |
    • 8.3.6. Normalizers of space groups  (pp. 738-739) | html | pdf |
    • References | html | pdf |
    • Figures
      • Fig. 8.3.3.1. Space group [P6_{3}/mcm] with t subgroups of index [2] and [4]  (p. 735) | html | pdf |
      • Fig. 8.3.6.1. Square with `symmetry elements' [m_{x}], [m_{y}], [m_{d}], [m_{d'}] (mirror lines) and ♦ (fourfold rotation point)  (p. 739) | html | pdf |
    • Tables
      • Table 8.3.4.1. Listing of space-group types according to their geometric and arithmetic crystal classes  (p. 736) | html | pdf |
      • Table 8.3.5.1. Sequence of generators for the crystal classes  (p. 737) | html | pdf |
      • Table 8.3.5.2. Example of a space-group generation [{\cal G}: {P6_{1}22 \equiv D_{6}^{2}}] (No. 178)  (p. 738) | html | pdf |