International Tables for Crystallography (2016). Vol. A. ch. 3.5, pp. 826-851
https://doi.org/10.1107/97809553602060000933 |
Chapter 3.5. Normalizers of space groups and their use in crystallography
Contents
- 3.5. Normalizers of space groups and their use in crystallography (pp. 826-851) | html | pdf | chapter contents |
- 3.5.1. Introduction and definitions (pp. 826-827) | html | pdf |
- 3.5.2. Euclidean and affine normalizers of plane groups and space groups (pp. 827-838) | html | pdf |
- 3.5.3. Examples of the use of normalizers (pp. 838-850) | html | pdf |
- 3.5.3.1. Introduction (p. 838) | html | pdf |
- 3.5.3.2. Equivalent point configurations, equivalent Wyckoff positions and equivalent descriptions of crystal structures (pp. 838-849) | html | pdf |
- 3.5.3.3. Equivalent lists of structure factors (p. 849) | html | pdf |
- 3.5.3.4. Euclidean- and affine-equivalent sub- and supergroups (pp. 849-850) | html | pdf |
- 3.5.3.5. Reduction of the parameter regions to be considered for geometrical studies of point configurations (p. 850) | html | pdf |
- 3.5.4. Normalizers of point groups (p. 851) | html | pdf |
- References | html | pdf |
- Figures
- Fig. 3.5.2.1. Parameter range for space groups of types and (plane groups of types p1 and p2) (p. 827) | html | pdf |
- Fig. 3.5.2.2. Parameter range for space groups of types C2, Pc, Cm, Cc, , , and (p. 827) | html | pdf |
- Fig. 3.5.2.3. Parameter range for space groups of types C2, Pc, Cm, Cc, , , and (p. 828) | html | pdf |
- Fig. 3.5.2.4. Parameter range for space groups of types C2, Pc, Cm, Cc, , , and (p. 828) | html | pdf |
- Tables
- Table 3.5.2.1. Euclidean normalizers of the plane groups (p. 829) | html | pdf |
- Table 3.5.2.2. Euclidean normalizers of the triclinic space groups (p. 830) | html | pdf |
- Table 3.5.2.3. Euclidean and chirality-preserving Euclidean normalizers of the monoclinic space groups (pp. 831-838) | html | pdf |
- Table 3.5.2.4. Euclidean and chirality-preserving Euclidean normalizers of the orthorhombic space groups (pp. 839-841) | html | pdf |
- Table 3.5.2.5. Euclidean and chirality-preserving Euclidean normalizers of the tetragonal, trigonal, hexagonal and cubic space groups (pp. 842-846) | html | pdf |
- Table 3.5.2.6. Affine normalizers of the triclinic and monoclinic space groups (p. 847) | html | pdf |
- Table 3.5.2.7. Matrices and columns used in Table 3.5.2.6 for the description of the affine normalizers of monoclinic and triclinic space groups (p. 847) | html | pdf |
- Table 3.5.3.1. Changes of structure-factor phases for the equivalent descriptions of a crystal structure in F222 (p. 849) | html | pdf |
- Table 3.5.4.1. Normalizers of the two-dimensional point groups with respect to the full isometry group of the circle (p. 851) | html | pdf |
- Table 3.5.4.2. Normalizers of the three-dimensional point groups with respect to the full isometry group of the sphere (p. 851) | html | pdf |