International Tables for Crystallography (2010). Vol. E. ch. 1.2, pp. 5-29
https://doi.org/10.1107/97809553602060000783 |
Chapter 1.2. Guide to the use of the subperiodic group tables
Contents
- 1.2. Guide to the use of the subperiodic group tables (pp. 5-29) | html | pdf | chapter contents |
- 1.2.1. Classification of subperiodic groups (pp. 5-7) | html | pdf |
- 1.2.2. Contents and arrangement of the tables (p. 7) | html | pdf |
- 1.2.3. Headline (p. 7) | html | pdf |
- 1.2.4. International (Hermann–Mauguin) symbols for subperiodic groups (pp. 7-8) | html | pdf |
- 1.2.5. Patterson symmetry (p. 8) | html | pdf |
- 1.2.6. Subperiodic group diagrams (pp. 8-14) | html | pdf |
- 1.2.7. Origin (p. 14) | html | pdf |
- 1.2.8. Asymmetric unit (pp. 14-15) | html | pdf |
- 1.2.9. Symmetry operations (pp. 15-16) | html | pdf |
- 1.2.10. Generators (p. 16) | html | pdf |
- 1.2.11. Positions (p. 16) | html | pdf |
- 1.2.12. Oriented site-symmetry symbols (pp. 16-17) | html | pdf |
- 1.2.13. Reflection conditions (p. 17) | html | pdf |
- 1.2.14. Symmetry of special projections (pp. 17-19) | html | pdf |
- 1.2.15. Maximal subgroups and minimal supergroups (pp. 19-21) | html | pdf |
- 1.2.15.1. Maximal non-isotypic non-enantiomorphic subgroups (pp. 20-21) | html | pdf |
- 1.2.15.2. Maximal isotypic subgroups and enantiomorphic subgroups of lowest index (p. 21) | html | pdf |
- 1.2.15.3. Minimal non-isotypic non-enantiomorphic supergroups (p. 21) | html | pdf |
- 1.2.15.4. Minimal isotypic supergroups and enantiomorphic supergroups of lowest index (p. 21) | html | pdf |
- 1.2.16. Nomenclature (pp. 21-22) | html | pdf |
- 1.2.17. Symbols (pp. 22-24) | html | pdf |
- References | html | pdf |
- Figures
- Fig. 1.2.1.1. Monoclinic/inclined basis vectors (p. 6) | html | pdf |
- Fig. 1.2.1.2. Monoclinic/orthogonal basis vectors (p. 7) | html | pdf |
- Fig. 1.2.6.1. Diagrams for triclinic/oblique layer groups (p. 9) | html | pdf |
- Fig. 1.2.6.2. Diagrams for monoclinic/oblique layer groups (p. 9) | html | pdf |
- Fig. 1.2.6.3. Monoclinic/oblique layer groups Nos. 5 and 7, cell choices 1, 2, 3 (p. 9) | html | pdf |
- Fig. 1.2.6.4. Diagrams for monoclinic/rectangular layer groups (p. 9) | html | pdf |
- Fig. 1.2.6.5. Diagrams for orthorhombic/rectangular layer groups (p. 9) | html | pdf |
- Fig. 1.2.6.6. Monoclinic/rectangular and orthorhombic/rectangular layer groups with two settings (p. 9) | html | pdf |
- Fig. 1.2.6.7. Diagrams for square/tetragonal layer groups (p. 10) | html | pdf |
- Fig. 1.2.6.8. Diagrams for trigonal/hexagonal and hexagonal/hexagonal layer groups (p. 10) | html | pdf |
- Fig. 1.2.6.9. Diagrams for triclinic rod groups (p. 10) | html | pdf |
- Fig. 1.2.6.10. Diagrams for monoclinic/inclined rod groups (p. 11) | html | pdf |
- Fig. 1.2.6.11. Diagrams for monoclinic/orthogonal rod groups (p. 11) | html | pdf |
- Fig. 1.2.6.12. Diagrams for orthorhombic rod groups (p. 12) | html | pdf |
- Fig. 1.2.6.13. Setting symbols on symmetry diagrams for the monoclinic/inclined, monoclinic/orthogonal and orthorhombic rod groups (p. 12) | html | pdf |
- Fig. 1.2.6.14. Diagrams for tetragonal rod groups (p. 12) | html | pdf |
- Fig. 1.2.6.15. Diagrams for trigonal and hexagonal rod groups (p. 13) | html | pdf |
- Fig. 1.2.6.16. Diagrams for oblique frieze groups (p. 13) | html | pdf |
- Fig. 1.2.6.17. Diagrams for rectangular frieze groups (p. 13) | html | pdf |
- Fig. 1.2.6.18. The two settings for frieze groups (p. 14) | html | pdf |
- Fig. 1.2.8.1. Boundaries used to define the asymmetric unit for (a) tetragonal rod groups and (b) trigonal and hexagonal rod groups (p. 14) | html | pdf |
- Fig. 1.2.8.2. Boundaries used to define the asymmetric unit for (a) tetragonal/square layer groups and (b) trigonal/hexagonal and hexagonal/hexagonal layer groups (p. 15) | html | pdf |
- Tables
- Table 1.2.1.1. Classification of layer groups (p. 6) | html | pdf |
- Table 1.2.1.2. Classification of rod groups (p. 6) | html | pdf |
- Table 1.2.1.3. Classification of frieze groups (p. 6) | html | pdf |
- Table 1.2.4.1. Sets of symmetry directions and their positions in the Hermann–Mauguin symbol (p. 8) | html | pdf |
- Table 1.2.5.1. Patterson symmetries for subperiodic groups (p. 8) | html | pdf |
- Table 1.2.6.1. Distinct Hermann–Mauguin symbols for monoclinic/rectangular and orthorhombic/rectangular layer groups in different settings (p. 9) | html | pdf |
- Table 1.2.6.2. Distinct Hermann–Mauguin symbols for monoclinic and orthorhombic rod groups in different settings (p. 13) | html | pdf |
- Table 1.2.6.3. Distinct Hermann–Mauguin symbols for tetragonal, trigonal and hexagonal rod groups in different settings (p. 13) | html | pdf |
- Table 1.2.6.4. Distinct Hermann–Mauguin symbols for frieze groups in different settings (p. 14) | html | pdf |
- Table 1.2.13.1. General reflection conditions due to glide planes and screw axes (p. 17) | html | pdf |
- Table 1.2.14.1. a′, b′, γ′ (a′) of the projected conventional coordinate system in terms of a, b, c, α, β, γ (a, b, γ) of the conventional coordinate system of the layer and rod groups (frieze groups) (p. 18) | html | pdf |
- Table 1.2.14.2. Projection of three-dimensional symmetry elements (layer and rod groups) (p. 19) | html | pdf |
- Table 1.2.14.3. Projection of two-dimensional symmetry elements (frieze groups) (p. 20) | html | pdf |
- Table 1.2.17.1. Frieze-group symbols (p. 22) | html | pdf |
- Table 1.2.17.2. Rod-group symbols (pp. 23-24) | html | pdf |
- Table 1.2.17.3. Layer-group symbols (pp. 25-28) | html | pdf |