International Tables for Crystallography (2016). Vol. A. ch. 1.3, pp. 22-41
https://doi.org/10.1107/97809553602060000921

Chapter 1.3. A general introduction to space groups

Chapter index

affine space 1.3.1

arithmetic crystal class 1.3.4.4.1

automorphism group 1.3.3.1, 1.3.3.1, 1.3.3.2

conventional 1.3.2.4

primitive 1.3.2.4

reciprocal 1.3.2.5

basis transformation 1.3.2.2

Bieberbach theorem 1.3.4.1

Bravais arithmetic crystal class 1.3.4.4.1

Bravais class 1.3.4.3

Bravais flock 1.3.4.4.1

Bravais group 1.3.3.1, 1.3.4.3

Bravais type of lattice 1.3.4.3, 1.3.4.1

Brillouin zone 1.3.2.3

cell

centred 1.3.2.4

conventional 1.3.2.4, 1.3.2.4

multiple 1.3.2.4

primitive 1.3.2.4

cell parameters 1.3.2.2

centred cell 1.3.2.4

centred lattice 1.3.2.4

centring vector 1.3.2.4

conventional basis 1.3.2.4

conventional cell 1.3.2.4, 1.3.2.4

conventional coordinate system 1.3.4.4.4

coordinates and coordinate triplets 1.3.2.1

coordinate system 1.3.2.2

conventional 1.3.4.4.4

coset decomposition 1.3.3.2, 1.3.3.3

coset representatives 1.3.3.2

crystal family 1.3.4.4.4

crystallographic space group 1.3.1

crystallographic space-group operation 1.3.1

crystal system 1.3.4.4.3, 1.3.4.2

Dirichlet domain 1.3.2.3

enantiomorphism 1.3.4.1

fundamental domain 1.3.2.3

geometric crystal class 1.3.4.2

hexagonal crystal family

distribution of space-group types in 1.3.4.3

holohedry 1.3.4.3, 1.3.4.1

homomorphism 1.3.3.1

kernel of 1.3.3.1

isometry 1.3.1

kernel of a homomorphism 1.3.3.1

lattice 1.3.2

centred 1.3.2.4

primitive 1.3.2.4

reciprocal 1.3.2.5

rhombohedral 1.3.2.4

lattice basis 1.3.2.1

lattice point group 1.3.4.3

lattice system 1.3.4.4.2, 1.3.4.1

linear part of a space-group operation 1.3.1

matrix–column pair 1.3.1

metric tensor 1.3.2.2

multiple cell 1.3.2.4

non-symmorphic space groups 1.3.3.3

origin choice 1.3.3.3

point groups 1.3.1, 1.3.3.1

point-group types 1.3.4.2

primitive basis 1.3.2.4

primitive cell 1.3.2.4, 1.3.2.4

primitive lattice 1.3.2.4

reciprocal basis 1.3.2.5

reciprocal lattice 1.3.2.5

rhombohedral lattice 1.3.2.4

site-symmetry group 1.3.3.3

space-group operation

crystallographic 1.3.1

linear part 1.3.1

translation part 1.3.1

space groups 1.3.1

classification of 1.3.4

crystallographic 1.3.1

non-symmorphic 1.3.3.3

symmorphic 1.3.3.3

space-group types 1.3.4.1

specialized metrics 1.3.4.3

subgroups

translation subgroup 1.3.1, 1.3.3.2

symmorphic space groups 1.3.3.3

transformation of basis 1.3.2.2

translation part of a space-group operation 1.3.1

translation subgroup 1.3.1, 1.3.3.2

unit cell 1.3.2.3

centred 1.3.2.4

conventional 1.3.2.4

primitive 1.3.2.4

vector space 1.3.1

Voronoï domain 1.3.2.3

Wigner–Seitz cell 1.3.2.3

Wirkungsbereich (domain of influence) 1.3.2.3