International Tables for Crystallography (2011). Vol. A1. ch. 1.2, pp. 7-24
https://doi.org/10.1107/97809553602060000791 |
Chapter 1.2. General introduction to the subgroups of space groups
Contents
- 1.2. General introduction to the subgroups of space groups (pp. 7-24) | html | pdf | chapter contents |
- 1.2.1. General remarks (p. 7) | html | pdf |
- 1.2.2. Mappings and matrices (pp. 7-10) | html | pdf |
- 1.2.2.1. Crystallographic symmetry operations (pp. 7-8) | html | pdf |
- 1.2.2.2. Coordinate systems and coordinates (p. 8) | html | pdf |
- 1.2.2.3. The description of mappings (pp. 8-9) | html | pdf |
- 1.2.2.4. Matrix–column pairs and (n + 1) × (n + 1) matrices (p. 9) | html | pdf |
- 1.2.2.5. Isometries (p. 9) | html | pdf |
- 1.2.2.6. Vectors and vector coefficients (p. 10) | html | pdf |
- 1.2.2.7. Origin shift and change of the basis (p. 10) | html | pdf |
- 1.2.3. Groups (pp. 10-12) | html | pdf |
- 1.2.4. Subgroups (pp. 12-14) | html | pdf |
- 1.2.4.1. Definition (p. 12) | html | pdf |
- 1.2.4.2. Coset decomposition and normal subgroups (pp. 12-13) | html | pdf |
- 1.2.4.3. Conjugate elements and conjugate subgroups (p. 13) | html | pdf |
- 1.2.4.4. Factor groups and homomorphism (p. 13) | html | pdf |
- 1.2.4.5. Normalizers (pp. 13-14) | html | pdf |
- 1.2.5. Space groups (pp. 14-18) | html | pdf |
- 1.2.5.1. Space groups and their description (pp. 14-15) | html | pdf |
- 1.2.5.2. Classifications of space groups (p. 15) | html | pdf |
- 1.2.5.3. Space groups and space-group types (pp. 15-16) | html | pdf |
- 1.2.5.4. Point groups and crystal classes (pp. 16-17) | html | pdf |
- 1.2.5.5. Crystal systems and crystal families (pp. 17-18) | html | pdf |
- 1.2.6. Types of subgroups of space groups (pp. 18-20) | html | pdf |
- 1.2.7. Application to domain structures (pp. 20-23) | html | pdf |
- 1.2.8. Lemmata on subgroups of space groups (pp. 23-24) | html | pdf |
- References | html | pdf |
- Figures
- Tables