International Tables for Crystallography (2006). Vol. B. ch. 1.4, pp. 99-161
https://doi.org/10.1107/97809553602060000552 |
Chapter 1.4. Symmetry in reciprocal space
Chapter index
Affine transformation 1.4.4.4
Body-diagonal axes A1.4.2.6
Centred Bravais lattice 1.4.4.5
Centre of symmetry
false 1.4.2.2
Centrosymmetry
status of A1.4.2.2
Change-of-basis matrix A1.4.2.1
Change of crystal axes 1.4.4.3
Computer-algebraic languages A1.4.1
Crystal axes, change of 1.4.4.3
Crystal systems A1.4.2.2
Cubic space groups 1.4.3.3
Data handling, Hall symbols in A1.4.2.1
Direct Bravais lattice 1.4.4.5
Direct inspection of structure-factor equation 1.4.2.2
Direct lattice 1.4.4.1
Direct methods 1.4.2.4
Direct-space transformations 1.4.4.3
Effects of symmetry on the Fourier image 1.4.2.1
Electron density 1.4.2.2
Explicit-origin space-group notation A1.4.2.3
Face-diagonal axes A1.4.2.5
False centre of symmetry 1.4.2.2
FORTRAN A1.4.1
FORTRAN interface A1.4.1
FORTRAN interpreter A1.4.1
General conditions for possible reflections 1.4.2.2
Group–subgroup relationship 1.4.3.3
Hermann–Mauguin space-group symbol 1.4.3.4
Hexagonal axes 1.4.3.3
Hexagonal family 1.4.3.3
Hexagonal space groups 1.4.3.3
Intrinsic component of translation part of space-group operation 1.4.2.2
Inverse rotation operator 1.4.2.1
Lattice-translation subgroup A1.4.2.2
Lattice type A1.4.2.2
Laue groups 1.4.2.2
Location-dependent component of translation part of space-group operation 1.4.2.2
Matrix representation 1.4.2.1
Monoclinic family 1.4.3.3
Monoclinic space groups 1.4.3.3
Multiple reciprocal cell 1.4.4.5
Multiplicity 1.4.2.3
Numerically oriented languages 1.4.3.2
Obverse setting 1.4.4.5
Origin-shift vector A1.4.2.1
Orthorhombic space groups 1.4.3.3
Parity of the hkl subset 1.4.3.4
Periodic density function 1.4.1
Permissible symmetry 1.4.1
Permutation of coordinates
Permutation operators 1.4.3.3
Point-group symmetry of reciprocal lattice 1.4.2.1
Principal axes A1.4.2.4
Reciprocal Bravais lattice 1.4.4.5
Reciprocal cell, multiple 1.4.4.5
Reciprocal-space representation of space groups 1.4.1
Reciprocal space
symmetry in 1.4.4.1
REDUCE A1.4.1
Relationship between structure factors of symmetry-related reflections 1.4.2.2
Representation of space groups in reciprocal space 1.4.1
Representative operators of a space group A1.4.2.2
Rotation operator
inverse 1.4.2.1
Rotation part of space-group operation 1.4.2.2
Shift of space-group origin 1.4.4.3
Software, Hall symbols in A1.4.2.1
Space-group algorithm 1.4.4.1
Space-group notation, explicit-origin A1.4.2.3
Space-group operation 1.4.2.2
intrinsic and location-dependent components of translation part 1.4.2.2
rotation part 1.4.2.2
translation part 1.4.2.2
Space-group origin, shift of 1.4.4.3
Space groups
cubic 1.4.3.3
hexagonal 1.4.3.3
in reciprocal space A1.4.4
monoclinic 1.4.3.3
orthorhombic 1.4.3.3
reciprocal-space representation of 1.4.1
representative operators of A1.4.2.2
tetragonal 1.4.3.3
triclinic 1.4.3.3
trigonal 1.4.3.3
Space-group-specific Fourier summations 1.4.2.3
Space-group-specific structure-factor formulae 1.4.2.4
Space-group-specific symmetry factors 1.4.1
Space-group symbols
Hermann–Mauguin 1.4.3.4
Space-group tables 1.4.4.1
Spherical atoms 1.4.2.4
Statistics
structure-factor 1.4.2.4
Status of centrosymmetry A1.4.2.2
Structure-factor formulae, space-group-specific 1.4.2.4
Structure factors
Structure-factor statistics 1.4.2.4
Symbolically oriented languages 1.4.3.2
Symbolic programming techniques 1.4.1
Symmetry
effects on Fourier image 1.4.2.1
in Fourier space 1.4.4.4
in reciprocal space 1.4.4.1
permissible 1.4.1
Symmetry-generating algorithm A1.4.2.1
Symmetry-related reflections, relationship between structure factors of 1.4.2.2
Systematic absences 1.4.4.5
Tetragonal family 1.4.3.3
Tetragonal space groups 1.4.3.3
Text processing A1.4.1
Three-generator symbol A1.4.2.2
Transformation properties of direct and reciprocal base vectors and lattice-point coordinates 1.4.2.2
Translation
part of space-group operation 1.4.2.2
part of space-group operation, intrinsic and location-dependent components of 1.4.2.2
Triclinic space groups 1.4.3.3
Trigonal space groups 1.4.3.3
Type of rotation (proper or improper) A1.4.2.2
Vectors
origin-shift A1.4.2.1
Wyckoff position 1.4.2.2