International Tables for Crystallography (2006). Vol. A. ch. 5.1, pp. 78-85
https://doi.org/10.1107/97809553602060000510

Chapter 5.1. Transformations of the coordinate system (unit-cell transformations)

Chapter index

Affine
transformation 5.1.2, 5.1.3, 5.1.3
Augmented matrix 5.1.2, 5.1.3, 5.1.3
Basis
vectors, transformation of 5.1.2, 5.1.3, 5.1.3.1
Coordinates and coordinate triplets
of a point, transformation of 5.1.3
Coordinate system
transformation of 5.1.1
Covariant and contravariant quantities 5.1.3, 5.1.3
D cell (hexagonal lattice) 5.1.3.1
Direction indices, transformation of 5.1.3
H and h cell (hexagonal lattice) 5.1.3.1
Hexagonal
axes, cell and coordinate system 5.1.3.1
Linear
part of a motion or transformation 5.1.2, 5.1.3
Matrices for unit-cell (basis) transformation 5.1.3.1
Matrix
augmented 5.1.2, 5.1.3, 5.1.3
of metrical coefficients (metric tensor) 5.1.3, 5.1.3
Metric tensor 5.1.3, 5.1.3
Miller indices
transformation of 5.1.2, 5.1.3
Monoclinic
settings and cell choices 5.1.3.1
Obverse setting of R cell 5.1.3.6, 5.1.3.1, 5.1.3.1
Origin shift (transformation) 5.1.2, 5.1.3
Orthohexagonal C cell 5.1.3.1
Orthorhombic
settings 5.1.3.1
Position
vectors, transformation of 5.1.3
R cell (rhombohedral lattice) 5.1.3.6, 5.1.3.6, 5.1.3.1, 5.1.3.1
Reverse setting of R cell 5.1.3.6, 5.1.3.1
Rhombohedral
axes, cell, coordinate system and lattice 5.1.3.6, 5.1.3.1, 5.1.3.1
Settings
monoclinic and orthorhombic 5.1.3.1, 5.1.3.1
rhombohedral, obverse and reverse 5.1.3.1, 5.1.3.1, 5.1.3.1
Shift of origin 5.1.2, 5.1.3
Symmetry
operations, transformation of 5.1.1
Transformation
affine 5.1.2, 5.1.3, 5.1.3
linear part of 5.1.2, 5.1.3
of basis vectors and coordinate system 5.1.1, 5.1.2
of direction indices 5.1.3
of Miller indices 5.1.2, 5.1.3
of origin (origin shift) 5.1.3
of point coordinates 5.1.3
of position vectors 5.1.3
of symmetry operations (motions) 5.1.1
of unit cell 5.1.1, 5.1.1, 5.1.3
Unit cell
transformation of 5.1.1, 5.1.1, 5.1.3