International Tables for Crystallography (2006). Vol. C, ch. 9.8, pp. 907-955
https://doi.org/10.1107/97809553602060000624

Chapter 9.8. Incommensurate and commensurate modulated structures

Chapter index

Abelian module 9.8.4.1
Ambiguities in modulated structure notation 9.8.3.6
Aperiodic lattice 9.8.4.1
Approximations
commensurate 9.8.1.3.2
Arithmetically equivalent point groups 9.8.4.2.2
Arithmetic crystal classes 9.8.1.4.5, 9.8.3.1, 9.8.3.2, 9.8.4.2.2, A9.8.2
(3 + 1)-dimensional 9.8.3.3
Arithmetic equivalence 9.8.1.4.3, 9.8.4.2.2
Arithmetic point groups 9.8.2
Average structure 9.8.2
Basic structural features 9.8.1.1
Basic structure 9.8.1.3.1
Basis
conventional A9.8.2
standard A9.8.2
vectors A9.8.1
(3 + l)-dimensional 9.8.1.4.5
one-line symbols 9.8.3.1, 9.8.3.3.1
two-line symbols 9.8.3.1, 9.8.3.3.1
Bravais classes
(2 + 1)-dimensional 9.8.3.1
(2 + 2)-dimensional 9.8.3.1
(3 + l)-dimensional 9.8.3.2
Bravais lattice 9.8.2
Centring conditions 9.8.3.3.2
Centring reflection conditions 9.8.3.3.2
for (3 + 1)-dimensional Bravais classes 9.8.3.6
Commensurate approximation 9.8.1.3.2
Compensating transformations 9.8.4.4.1
Compensating translations 9.8.4.4.1
Composite crystal structures 9.8.1.2, 9.8.5.1
Conventional basis A9.8.2
Conventional unit cell 9.8.2
Crystal(s)
definition of 9.8.1.2
displacively modulated 9.8.1.3
ideal 9.8.1.2
intergrowth 9.8.5.1
modulated 9.8.1.2
normal 9.8.1.2
Crystal classes
arithmetic 9.8.1.4.5, 9.8.3.1, A9.8.2
geometric 9.8.1.4.3, 9.8.1.4.5
Crystallographic system 9.8.4.3.2
Dimension of a lattice 9.8.4.1
Direct lattice 9.8.1.4.2
Displacive modulation 9.8.1.1
Equivalent superspace groups 9.8.4.4.1
External space A9.8.1
Full symbols for superspace groups 9.8.3.3.1, 9.8.3.4
Geometric crystal classes 9.8.1.4.3, A9.8.2
Gittergeister (lattice ghosts) 9.8.1.1, 9.8.1.1
Higher-dimensional crystallography 9.8.1.2
Holohedry 9.8.4.3.1, A9.8.2
Ideal crystals 9.8.1.2
Incommensurate modulated structures 9.8.1.1
Intergrowth crystal structures 9.8.1.1
Internal
translation 9.8.1.4.4
Intrinsic component 9.8.3.3.1
Intrinsic part of a space group 9.8.4.4.1
Lattice(s)
aperiodic 9.8.4.1
Bravais 9.8.2
dimension 9.8.4.1
direct 9.8.1.4.2
holohedry 9.8.4.3.1
rank 9.8.4.1
Lattice bases, standard 9.8.4.1
Lattice ghosts (Gittergeister) 9.8.1.1, 9.8.1.1
Laue class 9.8.4.2.1
Laue point group 9.8.1.2, 9.8.2, 9.8.4.2.1
Main reflections 9.8.1.1
Modulated crystal structures 9.8.1.1, 9.8.1.1
examples 9.8.3.5
types defined 9.8.1.1, 9.8.1.1
Modulation
displacive 9.8.1.1
occupation 9.8.1.1, 9.8.1.5
relations 9.8.4.4.2
Normal crystal 9.8.1.2
Occupation modulation 9.8.1.1, 9.8.1.5
One-line symbols for Bravais classes 9.8.3.1, 9.8.3.1, 9.8.3.3.1
Point group(s) 9.8.4.2
arithmetic 9.8.2
arithmetically equivalent 9.8.4.2.2
definition of A9.8.2
equivalence class 9.8.4.2.2
geometrically equivalent 9.8.4.3.2
reducible 9.8.4.3.1
Quasicrystals 9.8.1.1
Rank of a lattice 9.8.4.1
Reducible point groups 9.8.4.3.1
Reflection
conditions, special 9.8.3.3.2
Reflections
main 9.8.1.1
satellite 9.8.1.1
Satellite
reflections 9.8.1.1
Short symbols for superspace groups 9.8.3.3.1
Space groups
one-line symbol 9.8.3.3.1
two-line symbol 9.8.3.3.1
Special reflection conditions 9.8.3.3.2
for (3 + 1)-dimensional space groups 9.8.3.3.2
Split basis A9.8.2
Standard basis A9.8.2
Standard lattice bases 9.8.4.1
Structure factor(s) 9.8.4.4.3
Superspace A9.8.2
embedding 9.8.1.2
Superspace groups 9.8.1.2, 9.8.1.4.3, 9.8.3.3, 9.8.4.4, A9.8.2
(2 + 1)-dimensional (table) 9.8.3.4
equivalent 9.8.4.4.1
full symbols 9.8.3.3.1
short symbols 9.8.3.3.1
symbols for 9.8.3.3.1, 9.8.3.4
Superspace groups
(2 + 2)-dimensional (table) 9.8.3.4
(3 + 1)-dimensional (table) 9.8.3.5
Superstructure 9.8.1.3.1
Symmetry
elements, non-crystallographic 9.8.1.1
group 9.8.1.2
Transformation(s)
compensating 9.8.4.4.1
Translation, internal 9.8.1.4.4
Translations, compensating 9.8.4.4.1
Two-line symbols for Bravais classes 9.8.3.1, 9.8.3.3.1
Unit cell
conventional 9.8.2
Vector(s)
basis A9.8.1
Wyckoff positions 9.8.2, 9.8.2
Z-module 9.8.1.1