International Tables for Crystallography (2006). Vol. A, ch. 8.1, pp. 720-725
doi: 10.1107/97809553602060000514

Chapter 8.1. Basic concepts

Chapter index

Affine
equivalence classes 8.1.1.1
Augmented matrix 8.1.2
Axes
of rotation and rotoinversion 8.1.5
Basis
crystallographic, conventional, primitive 8.1.4, 8.1.4
Bravais
(type of) lattice 8.1.1.1
Cell
parameters 8.1.4
Column part of a symmetry operation (motion) 8.1.2
Coset and coset decomposition 8.1.6
Crystal
class, arithmetic and geometric 8.1.1.1
pattern 8.1.4
space 8.1.2
Crystallographic
basis, coordinate system and origin 8.1.4
symmetry operation 8.1.5
Direct space 8.1.2
Euclidean
space 8.1.2
Fixed point of a symmetry operation (motion) 8.1.2
Generalized symmetry 8.1.1
General
position 8.1.6
Glide
line, plane and vector 8.1.5
part of a symmetry operation (motion) 8.1.5
reflection 8.1.2
Incommensurate phases 8.1.1
Intrinsic glide part of a symmetry operation 8.1.5
Intrinsic screw part of a symmetry operation 8.1.5
Intrinsic translation part of a symmetry operation 8.1.5
Invariant (normal) subgroup 8.1.6
Inversion 8.1.2
point of a rotoinversion 8.1.5
Isometric mapping and isometry 8.1.2
Lattice
centred and primitive 8.1.4
constants 8.1.4
parameters 8.1.4
Line (one-dimensional) groups and lattices 8.1.6
Linear
mapping 8.1.2
part of a motion or transformation 8.1.2
Mapping, linear 8.1.2
Matrix
augmented 8.1.2
part of a symmetry operation (motion) 8.1.2
Metrics in point and vector space 8.1.2
Motion 8.1.2
n-Dimensional crystallography 8.1.1
One-dimensional (line)
groups and lattices 8.1.6
Plane (two-dimensional) space groups 8.1.6
Point groups
definition of 8.1.6, 8.1.6, 8.1.6
Point
lattice 8.1.4
space 8.1.2
Position
general and special 8.1.6
Primitive basis, cell and lattice 8.1.4, 8.1.4
Quasicrystals 8.1.1
Reflection (mirror reflection) 8.1.2
Rotation and rotoinversion 8.1.2
axes and points 8.1.5
Rotation part of a symmetry operation (motion) 8.1.2
Screw
axes and vectors 8.1.5
part of a symmetry operation (motion) 8.1.5
rotation 8.1.2
Seitz symbol 8.1.2
Space groups
definition of 8.1.6
symmorphic 8.1.6
Subgroups and supergroups
normal or invariant (subgroups) 8.1.6
Subperiodic groups 8.1.1
Symmetry
elements, definition and symbols 8.1.5
generalized 8.1.1
group 8.1.3
operation, definition and symbols 8.1.3, 8.1.5
Symmorphic space group 8.1.6
Translation
and translation vector 8.1.2
part of a symmetry operation (motion) 8.1.2, 8.1.2, 8.1.5
subgroup of a space group 8.1.6
Two-dimensional (plane)
space groups 8.1.6
Unit cell 8.1.4
Vector
glide and screw 8.1.5
lattice 8.1.4
part of a symmetry operation (motion) 8.1.2
space 8.1.2