International Tables for Crystallography (2013). Vol. D, ch. 3.2, pp. 397-412
doi: 10.1107/97809553602060000916

Chapter 3.2. Twinning and domain structures

Contents

  • 3.2. Twinning and domain structures  (pp. 397-412) | html | pdf | chapter contents |
    • 3.2.1. Introduction and history  (pp. 397-398) | html | pdf |
    • 3.2.2. A brief survey of bicrystallography  (pp. 398-399) | html | pdf |
    • 3.2.3. Mathematical tools  (pp. 399-410) | html | pdf |
      • 3.2.3.1. Sets, pairs, mappings and equivalence classes  (pp. 400-401) | html | pdf |
        • 3.2.3.1.1. Sets  (p. 400) | html | pdf |
        • 3.2.3.1.2. Pairs  (p. 400) | html | pdf |
        • 3.2.3.1.3. Mappings  (pp. 400-401) | html | pdf |
        • 3.2.3.1.4. Equivalence relation on a set, partition of a set  (p. 401) | html | pdf |
      • 3.2.3.2. Groups and subgroups  (pp. 401-405) | html | pdf |
        • 3.2.3.2.1. Groups  (pp. 401-402) | html | pdf |
        • 3.2.3.2.2. Subgroups  (p. 402) | html | pdf |
        • 3.2.3.2.3. Left and right cosets  (pp. 402-403) | html | pdf |
        • 3.2.3.2.4. Conjugate subgroups  (p. 403) | html | pdf |
        • 3.2.3.2.5. Normalizers  (p. 403) | html | pdf |
        • 3.2.3.2.6. Normal subgroups  (p. 403) | html | pdf |
        • 3.2.3.2.7. Halving subgroups and dichromatic (black-and-white) groups  (p. 404) | html | pdf |
        • 3.2.3.2.8. Double cosets  (pp. 404-405) | html | pdf |
      • 3.2.3.3. Action of a group on a set  (pp. 405-410) | html | pdf |
        • 3.2.3.3.1. Group action  (pp. 405-406) | html | pdf |
        • 3.2.3.3.2. Stabilizers (isotropy groups)  (pp. 406-407) | html | pdf |
        • 3.2.3.3.3. Orbits  (pp. 407-408) | html | pdf |
        • 3.2.3.3.4. Orbits and left cosets  (p. 408) | html | pdf |
        • 3.2.3.3.5. Intermediate subgroups and partitions of an orbit into suborbits  (pp. 408-410) | html | pdf |
        • 3.2.3.3.6. Orbits of ordered pairs and double cosets  (p. 410) | html | pdf |
    • References | html | pdf |
    • Tables
      • Table 3.2.3.1. Four types of double cosets  (p. 404) | html | pdf |