International Tables for Crystallography (2011). Vol. A1. ch. 2.1, pp. 72-96
https://doi.org/10.1107/97809553602060000797 |
Chapter 2.1. Guide to the subgroup tables and graphs
Contents
- 2.1. Guide to the subgroup tables and graphs (pp. 72-96) | html | pdf | chapter contents |
- 2.1.1. Contents and arrangement of the subgroup tables (p. 72) | html | pdf |
- 2.1.2. Structure of the subgroup tables (pp. 72-76) | html | pdf |
- 2.1.2.1. Headline (p. 72) | html | pdf |
- 2.1.2.2. Data from IT A (pp. 72-73) | html | pdf |
- 2.1.2.3. Specification of the setting (p. 73) | html | pdf |
- 2.1.2.4. Sequence of the subgroup and supergroup data (p. 73) | html | pdf |
- 2.1.2.5. Special rules for the setting of the subgroups (pp. 74-76) | html | pdf |
- 2.1.3. I Maximal translationengleiche subgroups (t-subgroups) (pp. 76-79) | html | pdf |
- 2.1.4. II Maximal klassengleiche subgroups (k-subgroups) (pp. 79-82) | html | pdf |
- 2.1.5. Series of maximal isomorphic subgroups (pp. 82-84) | html | pdf |
- 2.1.6. The data for minimal supergroups (pp. 84-85) | html | pdf |
- 2.1.7. Derivation of the minimal supergroups from the subgroup tables (pp. 86-90) | html | pdf |
- 2.1.7.1. Determination of the non-isomorphic minimal k-supergroups by inverting the subgroup data (p. 86) | html | pdf |
- 2.1.7.2. The isomorphic minimal supergroups (pp. 86-87) | html | pdf |
- 2.1.7.3. Determination of one minimal t-supergroup by inverting the subgroup data (pp. 87-88) | html | pdf |
- 2.1.7.4. Derivation of further minimal t-supergroups by using normalizers (pp. 88-90) | html | pdf |
- 2.1.7.5. Derivation of the remaining minimal t-supergroups (p. 90) | html | pdf |
- 2.1.8. The subgroup graphs (pp. 90-96) | html | pdf |
- 2.1.8.1. General remarks (pp. 90-91) | html | pdf |
- 2.1.8.2. Graphs for translationengleiche subgroups (pp. 91-92) | html | pdf |
- 2.1.8.3. Graphs for klassengleiche subgroups (pp. 92-93) | html | pdf |
- 2.1.8.4. Graphs for plane groups (p. 93) | html | pdf |
- 2.1.8.5. Application of the graphs (pp. 93-96) | html | pdf |
- References | html | pdf |
- Figures
- Fig. 2.1.7.1. In the left-hand diagram, there are i conjugate subgroups of if [i] is the index of in ; in the right-hand diagram, is a normal subgroup of (p. 88) | html | pdf |
- Fig. 2.1.8.1. Contracted graph of the group–subgroup chains from (225) to one of those subgroups with index 12 which belong to the space-group type (12) (p. 94) | html | pdf |
- Fig. 2.1.8.2. Complete graph of the group–subgroup chains from (225) to one representative belonging to those six (12) subgroups with index 12 whose monoclinic axes are along the directions of (p. 94) | html | pdf |
- Fig. 2.1.8.3. Complete graph of the group–subgroup chains from (225) to , which is one representative of those three (12) subgroups with index 12 whose monoclinic axes are along the directions of (p. 94) | html | pdf |
- Fig. 2.1.8.4. Complete graph of the group–subgroup chains from perovskite, , here high-temperature SrTiO3, to the four subgroups of type I4/mcm with their tetragonal axes in the c direction (p. 96) | html | pdf |
- Fig. 2.1.8.5. Two different subgroups of P4/mmm, both of type I4/mcm, correspond to two kinds of distortions of the coordination octahedra of the perovskite structure (p. 96) | html | pdf |