International Tables for Crystallography (2006). Vol. D, ch. 3.2, pp. 377-392
doi: 10.1107/97809553602060000643

Chapter 3.2. Twinning and domain structures

Contents

  • 3.2. Twinning and domain structures  (pp. 377-392) | html | pdf | chapter contents |
    • 3.2.1. Introduction and history  (pp. 377-378) | html | pdf |
    • 3.2.2. A brief survey of bicrystallography  (pp. 378-379) | html | pdf |
    • 3.2.3. Mathematical tools  (pp. 379-390) | html | pdf |
      • 3.2.3.1. Sets, pairs, mappings and equivalence classes  (pp. 380-381) | html | pdf |
        • 3.2.3.1.1. Sets  (p. 380) | html | pdf |
        • 3.2.3.1.2. Pairs  (p. 380) | html | pdf |
        • 3.2.3.1.3. Mappings  (pp. 380-381) | html | pdf |
        • 3.2.3.1.4. Equivalence relation on a set, partition of a set  (p. 381) | html | pdf |
      • 3.2.3.2. Groups and subgroups  (pp. 381-385) | html | pdf |
        • 3.2.3.2.1. Groups  (pp. 381-382) | html | pdf |
        • 3.2.3.2.2. Subgroups  (p. 382) | html | pdf |
        • 3.2.3.2.3. Left and right cosets  (pp. 382-383) | html | pdf |
        • 3.2.3.2.4. Conjugate subgroups  (p. 383) | html | pdf |
        • 3.2.3.2.5. Normalizers  (p. 383) | html | pdf |
        • 3.2.3.2.6. Normal subgroups  (p. 383) | html | pdf |
        • 3.2.3.2.7. Halving subgroups and dichromatic (black-and-white) groups  (p. 384) | html | pdf |
        • 3.2.3.2.8. Double cosets  (pp. 384-385) | html | pdf |
      • 3.2.3.3. Action of a group on a set  (pp. 385-390) | html | pdf |
        • 3.2.3.3.1. Group action  (pp. 385-386) | html | pdf |
        • 3.2.3.3.2. Stabilizers (isotropy groups)  (pp. 386-387) | html | pdf |
        • 3.2.3.3.3. Orbits  (pp. 387-388) | html | pdf |
        • 3.2.3.3.4. Orbits and left cosets  (p. 388) | html | pdf |
        • 3.2.3.3.5. Intermediate subgroups and partitions of an orbit into suborbits  (pp. 388-390) | html | pdf |
        • 3.2.3.3.6. Orbits of ordered pairs and double cosets  (p. 390) | html | pdf |
    • References | html | pdf |
    • Tables
      • Table 3.2.3.1. Four types of double cosets  (p. 384) | html | pdf |