International Tables for Crystallography (2006). Vol. B, ch. 1.1, pp. 2-9   | 1 | 2 |
https://doi.org/10.1107/97809553602060000549

Chapter 1.1. Reciprocal space in crystallography

Chapter index

Anisotropic displacement tensors 1.1.4.4
Antisymmetric tensor 1.1.4.4
Bases
Cartesian 1.1.4.4
contravariant 1.1.4.1, 1.1.4.3
covariant 1.1.4.1, 1.1.4.3
direct and reciprocal, relationships between 1.1.3
mutually reciprocal 1.1.2, 1.1.2
reference, choice of 1.1.4.4
Bloch's theorem 1.1.6.3
alternative form of 1.1.6.3
Brillouin zone 1.1.6.3
Cartesian basis 1.1.4.4
Cartesian frames of reference 1.1.4.1
Cartesian system, transformation to 1.1.2
Choice of reference bases 1.1.4.4
Components of vectors 1.1.4.1
Computational and algebraic aspects of mutually reciprocal bases 1.1.3.4
Contravariant bases 1.1.4.1, 1.1.4.3
Contravariant components 1.1.4.3
Coordinates
transformation of 1.1.4.2, 1.1.5.1
Covariant bases 1.1.4.1, 1.1.4.3
Covariant components 1.1.4.3
Density of nuclear matter 1.1.2
Diffraction relations 1.1.2
Diffraction vector 1.1.2
Direct lattice 1.1.2, 1.1.4.1
Direct metric 1.1.3.4
Direct unit-cell parameters 1.1.3.4
Dual relationships 1.1.1
Dummy indices 1.1.4.1
Dynamics 1.1.6.3
Electron density 1.1.2, 1.1.6.2
Electronic structure 1.1.6.3
Electrostatic potential 1.1.2
Fourier expansion 1.1.2
Fourier transforms
inverse 1.1.6.1
Fundamental relationships 1.1.3
Inverse Fourier transform 1.1.6.1
Kronecker symbol 1.1.4.2
Lattice
direct 1.1.2, 1.1.4.1
reciprocal 1.1.1, 1.1.2, 1.1.4.1
Lattice plane 1.1.2
Laue equations 1.1.2
Linear transformation 1.1.4.4
Matrices of mixed scalar products 1.1.5.1
Metric
direct 1.1.3.4
reciprocal 1.1.3.4
Metric tensors 1.1.3.4, 1.1.4.3
Molecular modelling 1.1.4.4
Mutually reciprocal bases 1.1.2, 1.1.2
computational and algebraic aspects of 1.1.3.4
Mutually reciprocal triads 1.1.2
Nuclear matter, density of 1.1.2
Patterson techniques 1.1.4.4
Periodicity requirement 1.1.6.2
Rank of tensor 1.1.4.2
Reciprocal lattice 1.1.1, 1.1.2, 1.1.4.1
Reciprocal metric 1.1.3.4
Reciprocal space 1.1.1
Reciprocal unit-cell parameters 1.1.3.4
Reference bases, choice of 1.1.4.4
Relationships between direct and reciprocal bases 1.1.3
Rigid rotation 1.1.5.1
Rotation operator 1.1.4.4
Rotation
rigid 1.1.5.1
Scalar products 1.1.4.3
mixed, matrices of 1.1.5.1
Solids
theory of 1.1.6.3
Structure factors 1.1.4.4, 1.1.6.1
Summation convention 1.1.4.1
Tensor-algebraic formulation 1.1.1, 1.1.4
Tensor formulation of vector product 1.1.4.4
Tensors 1.1.4.2
anisotropic displacement 1.1.4.4
antisymmetric 1.1.4.4
rank of 1.1.4.2
translation, libration and screw-motion 1.1.4.4
Theory of solids 1.1.6.3
Transformations
linear 1.1.4.4
of coordinates 1.1.4.2, 1.1.5.1
to a Cartesian system 1.1.2
Translation, libration and screw-motion tensors 1.1.4.4
Triads, mutually reciprocal 1.1.2
Unit-cell parameters
direct 1.1.3.4
reciprocal 1.1.3.4
Vector product
tensor formulation of 1.1.4.4
Vectors
components of 1.1.4.1