International Tables for Crystallography (2006). Vol. A, ch. 5.1, pp. 78-85
doi: 10.1107/97809553602060000510

Chapter 5.1. Transformations of the coordinate system (unit-cell transformations)

Contents

  • 5.1. Transformations of the coordinate system (unit-cell transformations)  (pp. 78-85) | html | pdf | chapter contents |
    • 5.1.1. Introduction  (p. 78) | html | pdf |
    • 5.1.2. Matrix notation  (p. 78) | html | pdf |
    • 5.1.3. General transformation  (pp. 78-85) | html | pdf |
    • Figures
      • Fig. 5.1.3.1. General affine transformation  (p. 79) | html | pdf |
      • Fig. 5.1.3.2. Monoclinic centred lattice, projected along the unique axis  (p. 83) | html | pdf |
      • Fig. 5.1.3.3. Body-centred cell I with a , b , c and a corresponding primitive cell P with a ′, b ′, c ′  (p. 83) | html | pdf |
      • Fig. 5.1.3.4. Face-centred cell F with a , b , c and a corresponding primitive cell P with a ′, b ′, c ′  (p. 83) | html | pdf |
      • Fig. 5.1.3.5. Tetragonal lattices, projected along [[00\bar{1}]]  (p. 84) | html | pdf |
      • Fig. 5.1.3.6. Unit cells in the rhombohedral lattice  (p. 84) | html | pdf |
      • Fig. 5.1.3.7. Hexagonal lattice projected along [[00\bar{1}]]  (p. 84) | html | pdf |
      • Fig. 5.1.3.8. Hexagonal lattice projected along [[00\bar{1}]]  (p. 85) | html | pdf |
      • Fig. 5.1.3.9. Rhombohedral lattice with a triple hexagonal unit cell a , b , c in obverse setting  (p. 85) | html | pdf |
      • Fig. 5.1.3.10. Rhombohedral lattice with primitive rhombohedral cell a , b , c and the three centred monoclinic cells  (p. 85) | html | pdf |
    • Tables
      • Table 5.1.3.1. Selected 3 × 3 transformation matrices [{\bi P}] and [{\bi Q} = {\bi P}^{ -1}]   (pp. 80-83) | html | pdf |