International Tables for Crystallography (2010). Vol. B, ch. 1.4, pp. 114-174   | 1 | 2 |
doi: 10.1107/97809553602060000761

Chapter 1.4. Symmetry in reciprocal space

Contents

  • 1.4. Symmetry in reciprocal space  (pp. 114-174) | html | pdf | chapter contents |
    • 1.4.1. Introduction  (p. 114) | html | pdf |
    • 1.4.2. Effects of symmetry on the Fourier image of the crystal  (pp. 114-117) | html | pdf |
      • 1.4.2.1. Point-group symmetry of the reciprocal lattice  (pp. 114-115) | html | pdf |
      • 1.4.2.2. Relationship between structure factors at symmetry-related points of the reciprocal lattice  (pp. 115-116) | html | pdf |
      • 1.4.2.3. Symmetry factors for space-group-specific Fourier summations  (p. 116) | html | pdf |
      • 1.4.2.4. Symmetry factors for space-group-specific structure-factor formulae  (pp. 116-117) | html | pdf |
    • 1.4.3. Structure-factor tables  (pp. 117-119) | html | pdf |
      • 1.4.3.1. Some general remarks  (p. 117) | html | pdf |
      • 1.4.3.2. Preparation of the structure-factor tables  (p. 117) | html | pdf |
      • 1.4.3.3. Symbolic representation of A and B   (pp. 118-119) | html | pdf |
      • 1.4.3.4. Arrangement of the tables  (p. 119) | html | pdf |
    • 1.4.4. Symmetry in reciprocal space: space-group tables  (pp. 119-122) | html | pdf |
      • 1.4.4.1. Introduction  (p. 119) | html | pdf |
      • 1.4.4.2. Arrangement of the space-group tables  (pp. 119-120) | html | pdf |
      • 1.4.4.3. Effect of direct-space transformations  (p. 120) | html | pdf |
      • 1.4.4.4. Symmetry in Fourier space  (pp. 120-121) | html | pdf |
      • 1.4.4.5. Relationships between direct and reciprocal Bravais lattices  (pp. 121-122) | html | pdf |
    • Appendix 1.4.1. Comments on the preparation and usage of the tables  (p. 122) | html | pdf |
    • Appendix 1.4.2. Space-group symbols for numeric and symbolic computations  (pp. 122-134) | html | pdf |
    • Appendix 1.4.3. Structure-factor tables  (pp. 135-161) | html | pdf |
    • Appendix 1.4.4. Crystallographic space groups in reciprocal space  (pp. 162-173) | html | pdf |
    • References | html | pdf |
    • Tables
      • Table 1.4.4.1. Correspondence between types of centring in direct and reciprocal lattices  (p. 121) | html | pdf |
      • Table A1.4.2.1. Explicit symbols  (pp. 124-126) | html | pdf |
      • Table A1.4.2.2. Lattice symbol L  (p. 127) | html | pdf |
      • Table A1.4.2.3. Translation symbol T  (p. 127) | html | pdf |
      • Table A1.4.2.4. Rotation matrices for principal axes  (p. 128) | html | pdf |
      • Table A1.4.2.5. Rotation matrices for face-diagonal axes  (p. 128) | html | pdf |
      • Table A1.4.2.6. Rotation matrix for the body-diagonal axis  (p. 128) | html | pdf |
      • Table A1.4.2.7. Hall symbols  (pp. 130-134) | html | pdf |
      • Table A1.4.3.1. Plane groups  (p. 135) | html | pdf |
      • Table A1.4.3.2. Triclinic space groups  (p. 135) | html | pdf |
      • Table A1.4.3.3. Monoclinic space groups  (pp. 136-137) | html | pdf |
      • Table A1.4.3.4. Orthorhombic space groups  (pp. 138-140) | html | pdf |
      • Table A1.4.3.5. Tetragonal space groups  (pp. 141-149) | html | pdf |
      • Table A1.4.3.6. Trigonal and hexagonal space groups  (pp. 150-155) | html | pdf |
      • Table A1.4.3.7. Cubic space groups  (pp. 156-161) | html | pdf |
      • Table A1.4.4.1. Crystallographic space groups in reciprocal space  (pp. 162-173) | html | pdf |