International Tables for Crystallography (2006). Vol. B, ch. 1.4, pp. 99-161   | 1 | 2 |
doi: 10.1107/97809553602060000552

Chapter 1.4. Symmetry in reciprocal space

Contents

  • 1.4. Symmetry in reciprocal space  (pp. 99-161) | html | pdf | chapter contents |
    • 1.4.1. Introduction  (p. 99) | html | pdf |
    • 1.4.2. Effects of symmetry on the Fourier image of the crystal  (pp. 99-102) | html | pdf |
      • 1.4.2.1. Point-group symmetry of the reciprocal lattice  (p. 99) | html | pdf |
      • 1.4.2.2. Relationship between structure factors at symmetry-related points of the reciprocal lattice  (pp. 99-101) | html | pdf |
      • 1.4.2.3. Symmetry factors for space-group-specific Fourier summations  (p. 101) | html | pdf |
      • 1.4.2.4. Symmetry factors for space-group-specific structure-factor formulae  (pp. 101-102) | html | pdf |
    • 1.4.3. Structure-factor tables  (pp. 102-104) | html | pdf |
      • 1.4.3.1. Some general remarks  (p. 102) | html | pdf |
      • 1.4.3.2. Preparation of the structure-factor tables  (p. 102) | html | pdf |
      • 1.4.3.3. Symbolic representation of A and B   (pp. 102-103) | html | pdf |
      • 1.4.3.4. Arrangement of the tables  (pp. 103-104) | html | pdf |
    • 1.4.4. Symmetry in reciprocal space: space-group tables  (pp. 104-106) | html | pdf |
      • 1.4.4.1. Introduction  (p. 104) | html | pdf |
      • 1.4.4.2. Arrangement of the space-group tables  (p. 104) | html | pdf |
      • 1.4.4.3. Effect of direct-space transformations  (pp. 104-105) | html | pdf |
      • 1.4.4.4. Symmetry in Fourier space  (p. 105) | html | pdf |
      • 1.4.4.5. Relationships between direct and reciprocal Bravais lattices  (pp. 105-106) | html | pdf |
    • Appendix 1.4.1. Comments on the preparation and usage of the tables  (pp. 106-107) | html | pdf |
    • Appendix 1.4.2. Space-group symbols for numeric and symbolic computations  (pp. 107-119) | html | pdf |
    • Appendix 1.4.3. Structure-factor tables  (pp. 120-149) | html | pdf |
    • Appendix 1.4.4. Crystallographic space groups in reciprocal space  (pp. 150-161) | html | pdf |
    • References | html | pdf |
    • Tables
      • Table 1.4.4.1. Correspondence between types of centring in direct and reciprocal lattices  (p. 106) | html | pdf |
      • Table A1.4.2.1. Explicit symbols  (pp. 109-111) | html | pdf |
      • Table A1.4.2.2. Lattice symbol L  (p. 112) | html | pdf |
      • Table A1.4.2.3. Translation symbol T  (p. 112) | html | pdf |
      • Table A1.4.2.4. Rotation matrices for principal axes  (p. 113) | html | pdf |
      • Table A1.4.2.5. Rotation matrices for face-diagonal axes  (p. 113) | html | pdf |
      • Table A1.4.2.6. Rotation matrix for the body-diagonal axis  (p. 113) | html | pdf |
      • Table A1.4.2.7. Hall symbols  (pp. 115-119) | html | pdf |
      • Table A1.4.3.1. Plane groups  (p. 120) | html | pdf |
      • Table A1.4.3.2. Triclinic space groups  (p. 120) | html | pdf |
      • Table A1.4.3.3. Monoclinic space groups  (pp. 121-122) | html | pdf |
      • Table A1.4.3.4. Orthorhombic space groups  (pp. 123-125) | html | pdf |
      • Table A1.4.3.5. Tetragonal space groups  (pp. 126-136) | html | pdf |
      • Table A1.4.3.6. Trigonal and hexagonal space groups  (pp. 137-143) | html | pdf |
      • Table A1.4.3.7. Cubic space groups  (pp. 144-149) | html | pdf |
      • Table A1.4.4.1. Crystallographic space groups in reciprocal space  (pp. 150-161) | html | pdf |