International Tables for Crystallography (2016). Vol. A. ch. 1.2, pp. 12-21
https://doi.org/10.1107/97809553602060000920

Chapter 1.2. Crystallographic symmetry

Contents

  • 1.2. Crystallographic symmetry  (pp. 12-21) | html | pdf | chapter contents |
    H. Wondratschek and M. I. Aroyo
    • 1.2.1. Crystallographic symmetry operations  (pp. 12-13) | html | pdf |
    • 1.2.2. Matrix description of symmetry operations  (pp. 13-19) | html | pdf |
      • 1.2.2.1. Matrix–column presentation of isometries  (pp. 13-15) | html | pdf |
        • 1.2.2.1.1. Shorthand notation of matrix–column pairs  (pp. 13-15) | html | pdf |
      • 1.2.2.2. Combination of mappings and inverse mappings  (p. 15) | html | pdf |
      • 1.2.2.3. Matrix–column pairs and (3 + 1) × (3 + 1) matrices  (p. 16) | html | pdf |
      • 1.2.2.4. The geometric meaning of (W, w)  (pp. 16-18) | html | pdf |
      • 1.2.2.5. Determination of matrix–column pairs of symmetry operations  (pp. 18-19) | html | pdf |
    • 1.2.3. Symmetry elements  (pp. 19-21) | html | pdf |
    • References | html | pdf |
    • Tables
      • Table 1.2.2.1. Matrices for point-group symmetry operations and orientation of corresponding geometric elements, referred to a cubic, tetragonal, orthorhombic, monoclinic, triclinic or rhombohedral coordinate system  (p. 14) | html | pdf |
      • Table 1.2.2.2. Matrices for point-group symmetry operations and orientation of corresponding geometric elements, referred to a hexagonal coordinate system  (p. 15) | html | pdf |
      • Table 1.2.3.1. Symmetry elements in point and space groups  (p. 20) | html | pdf |