(International Tables for Crystallography) Point groups and crystal classes

absolute configuration 3.2.4.5

absolute structure 3.2.4.5

abstract point groups 3.2.1.1

axis

of order infinity 3.2.1.4.1

of rotation 3.2.1.4.1, 3.2.2.2

of rotoinversion 3.2.1.4.1, 3.2.1.4.1, 3.2.2.1.3

of rotoreflection 3.2.1.4.1, 3.2.2.1.3

polar 3.2.2.2

basic crystal form 3.2.1.2.2

basic point form 3.2.1.2.2

biaxial crystals 3.2.2.3

Bravais–Donnay–Harker principle 3.2.2.2

characteristic crystal form 3.2.1.2.2, 3.2.1.2.2

characteristic point form 3.2.1.2.2, 3.2.1.2.2

chirality 3.2.2.1.3, 3.2.4.5

circular point groups 3.2.1.4.1, 3.2.1.5

conjugate subgroups 3.2.1.3, 3.2.1.4.3

coordinates and coordinate triplets 3.2.1.4.2

coordinate system

choice of 3.2.4.3

crystal class 3.2.1.2.5, 3.2.1.4, 3.2.2.1

geometric 3.2.1.1

noncentrosymmetric 3.2.2.2

crystal form 3.2.1.2.2, 3.2.1.2.3, 3.2.1.2.4, 3.2.1.4.1, 3.2.3.2, 3.2.1.3, 3.2.3.3

general 3.2.1.2.1, 3.2.1.2.1

crystallographic orbit 3.2.1.2.2

crystallographic point groups 3.2.1.2

crystal system 3.2.1.2.1, 3.2.1.1, 3.2.1.2, 3.2.2.3

cubic point groups 3.2.3.2, 3.2.1.6

Curie's principle 3.2.2.1.2

Curie groups 3.2.2.1.2

cylindrical point groups 3.2.1.4.1, 3.2.1.6

dipole moment 3.2.2.5

dissymmetry 3.2.2.1.3

dual polyhedra 3.2.1.2.4, 3.2.1.2.4

edge form 3.2.3.1, 3.2.1.5

edge symmetry 3.2.1.2.3

eigensymmetry (inherent symmetry)

of a crystal form 3.2.1.2.2, 3.2.1.2.3, 3.2.2.2

of a point form 3.2.1.3

enantiomer 3.2.4.5

enantiomerism 3.2.2.1.3

enantiomorph 3.2.4.5

enantiomorphism 3.2.2.1.3, 3.2.1.6

etch figures 3.2.2.3

face form 3.2.1.2.1, 3.2.3.2, 3.2.1.3, 3.2.3.3

face pole 3.2.1.2.1

face symmetry 3.2.1.2.2, 3.2.1.2.2, 3.2.1.2.3, 3.2.2.3, 3.2.1.3

ferroelectricity 3.2.2.5

Friedel's rule 3.2.1.1

general class 3.2.1.4.1

general crystal form 3.2.1.2.1, 3.2.1.2.1, 3.2.1.2.2, 3.2.3.2, 3.2.1.3

general face form 3.2.1.6, 3.2.1.6

general face pole 3.2.1.4.2

general point 3.2.1.2.1, 3.2.1.2.2, 3.2.1.4.2

general point form 3.2.1.2.2, 3.2.1.5, 3.2.1.5, 3.2.1.6

general point groups 3.2.1.1, 3.2.1.4.1, 3.2.1.4.3, 3.2.1.5, 3.2.1.6

classes of 3.2.1.4.1

general position 3.2.1.2.2

general system 3.2.1.4.1

generating point group 3.2.1.2.2, 3.2.1.3

generators of a group 3.2.1.2.3

geometric crystal class 3.2.1.1

Grenzform (limiting form) 3.2.1.2.2

Grundform (basic form) 3.2.1.2.2

hemihedry 3.2.1.1

Hermann–Mauguin point-group symbols 3.2.1.2.1, 3.2.1.4.1, 3.2.1.2, 3.2.1.3, 3.2.1.5, 3.2.1.6

hexagonal axes, cell and coordinate system 3.2.1.2.1

hexagonal point groups 3.2.3.1, 3.2.3.2

holohedral point group 3.2.1.1, 3.2.1.2.1, 3.2.1.3

holohedry 3.2.1.1, 3.2.1.2.1, 3.2.1.3

icosahedral point groups 3.2.1.4.2, 3.2.3.3

index of a supergroup 3.2.1.3

inherent symmetry (eigensymmetry)

of a crystal form 3.2.1.2.2, 3.2.1.2.3, 3.2.2.2

of a point form 3.2.1.3

international point-group symbols 3.2.1.4

isomorphism classes of point groups 3.2.1.1

isotropic crystals 3.2.2.3

Kugelgruppe (sphere group) 3.2.1.6

lattice point groups 3.2.1.1

lattice point symmetry 3.2.1.1, 3.2.1.2.5

Laue class 3.2.1.1, 3.2.1.2.1, 3.2.2.1

layer groups 3.2.4.4

limiting crystal form 3.2.1.2.1, 3.2.1.2.2, 3.2.1.2.2, 3.2.1.2.2, 3.2.1.2.4, 3.2.1.3

realization of 3.2.1.2.2, 3.2.1.2.4

limiting point form 3.2.1.2.1, 3.2.1.2.2, 3.2.1.2.2, 3.2.3.1

matrices

for point-group symmetry operations 3.2.1.4.2

matrix representation of a symmetry operation 3.2.1.2.1

maximal subgroups 3.2.1.3, 3.2.1.4.3

merohedry 3.2.1.1

Miller indices 3.2.1.2.1, 3.2.1.2.3, 3.2.1.4.2, 3.2.3.1, 3.2.3.2

minimal supergroups 3.2.1.3

molecular symmetry 3.2.4.2

monoclinic point groups 3.2.3.2

morphology 3.2.2.2

multiplicity

of a crystal form 3.2.1.2.2

of a point form 3.2.1.4.2

of a Wyckoff position 3.2.1.2.3, 3.2.4.2

Neumann's principle 3.2.2.1.4

noncentrosymmetric crystal classes 3.2.2.2

noncharacteristic crystal form 3.2.1.2.2, 3.2.1.2.2

noncharacteristic point form 3.2.1.2.2, 3.2.1.2.2

noncrystallographic point groups 3.2.1.1, 3.2.1.4

noncrystallographic symmetry 3.2.1.5, 3.2.1.6

normal subgroups 3.2.1.3, 3.2.1.3

oblique point groups 3.2.3.1

ogdohedry 3.2.1.1, 3.2.1.2.5

optical activity 3.2.2.4.2

optical indicatrix 3.2.2.4.1, 3.2.2.3

optical isomers 3.2.2.1.3

optical properties 3.2.2.3

orbit

crystallographic 3.2.1.2.2

point group 3.2.4.2

order of a point group 3.2.1.1, 3.2.1.2.2, 3.2.1.3, 3.2.1.4.1, 3.2.1.4.3, 3.2.1.5, 3.2.1.6

oriented face-symmetry symbol 3.2.1.3

oriented site-symmetry symbol 3.2.1.2.3, 3.2.1.3, 3.2.3.3

orthorhombic point groups 3.2.3.2

physical properties and symmetry 3.2.2.1

piezoelectricity 3.2.2.6

point form 3.2.1.2.1, 3.2.1.2.2, 3.2.1.2.3, 3.2.1.2.4, 3.2.1.4.2, 3.2.3.1, 3.2.3.2, 3.2.1.3, 3.2.1.6, 3.2.3.3

limiting 3.2.3.1

point groups 3.2.1.1, 3.2.1.1, 3.2.1.2

abstract 3.2.1.1

circular 3.2.1.4.1, 3.2.1.5

crystallographic 3.2.1.2, 3.2.3.1, 3.2.3.2

cubic 3.2.1.6

cylindrical 3.2.1.4.1, 3.2.1.6

definition of 3.2.1.1

determination from physical properties 3.2.2.1

diagrams and tables of 3.2.1.2.1, 3.2.3.1, 3.2.3.2, 3.2.3.3

general 3.2.1.1, 3.2.1.4.1, 3.2.1.5, 3.2.1.6

generating point group 3.2.1.2.2

holohedral 3.2.1.1, 3.2.1.2.1, 3.2.1.3

icosahedral 3.2.1.4.2, 3.2.3.3

isomorphism classes of 3.2.1.1

lattice point groups 3.2.1.1

noncentrosymmetric 3.2.2.1

noncrystallographic 3.2.1.4

of a molecule 3.2.4.2

order of 3.2.1.1, 3.2.1.2.2, 3.2.1.3, 3.2.1.4.1, 3.2.1.4.3, 3.2.1.5, 3.2.1.6

polar 3.2.2.1.4

spherical 3.2.1.4.1, 3.2.1.4.3, 3.2.1.6

subgroups of 3.2.1.3, 3.2.1.4.3

supergroups of 3.2.1.3, 3.2.1.4.3

point-group type 3.2.4.2

point symmetry (of a lattice) 3.2.1.1, 3.2.1.2.5

polar axis 3.2.2.1.4, 3.2.2.2

polar direction 3.2.2.1.4, 3.2.2.5, 3.2.2.2

polar point groups 3.2.2.1.4

projections

stereographic, of point groups 3.2.1.2.1, 3.2.3.1, 3.2.3.2, 3.2.3.3

projection symmetry

of a point group 3.2.3.1, 3.2.3.2, 3.2.3.3

pyroelectricity 3.2.2.5

realization of a limiting crystal form 3.2.1.2.2, 3.2.1.2.4

reciprocal lattice 3.2.1.2.3

rectangular point groups 3.2.3.1

refraction 3.2.2.4.1

rhombohedral axes, cell and coordinate system 3.2.1.2.1

rod groups 3.2.4.4

rotation axis 3.2.1.4.1, 3.2.2.2

rotoinversion axis 3.2.1.4.1, 3.2.1.4.1, 3.2.2.1.3

rotoreflection axis 3.2.1.4.1, 3.2.2.1.3

Schoenflies point-group symbols 3.2.1.2.1, 3.2.1.4.1, 3.2.1.2, 3.2.1.4, 3.2.1.6

second-harmonic generation 3.2.2.4.3

site symmetry 3.2.1.2.2, 3.2.1.2.2, 3.2.1.2.3, 3.2.1.4.2, 3.2.1.4.2, 3.2.1.3, 3.2.3.3

Sohncke space groups 3.2.4.5

space groups

Sohncke space groups 3.2.4.5

special crystal form 3.2.1.2.1, 3.2.1.2.2, 3.2.1.2.4, 3.2.1.3

special point 3.2.1.2.2

special point form 3.2.1.2.1, 3.2.1.2.2

special position 3.2.1.2.2

sphere group 3.2.1.6

spherical point groups 3.2.1.4.1, 3.2.1.4.3, 3.2.1.6

square point groups 3.2.3.1

stereographic projections of point groups 3.2.1.2.1, 3.2.3.1, 3.2.3.2, 3.2.3.3

subgroups

conjugate 3.2.1.3, 3.2.1.4.3

maximal 3.2.1.3, 3.2.1.4.3

normal 3.2.1.3, 3.2.1.3

of point groups 3.2.1.3, 3.2.1.4.3

translationengleich (t) 3.2.1.3

supergroups

index of 3.2.1.3

minimal 3.2.1.3

of point groups 3.2.1.3, 3.2.1.4.3

translationengleich (t) 3.2.1.3

symbols

for crystal classes 3.2.1.2.5, 3.2.1.4

for point groups 3.2.1.1, 3.2.1.2, 3.2.1.5, 3.2.1.6, 3.2.3.3

for symmetry elements 3.2.1.2.1

Hermann–Mauguin point-group symbols 3.2.1.2.1, 3.2.1.4.1, 3.2.1.2, 3.2.1.3, 3.2.1.5, 3.2.1.6

Schoenflies point-group symbols 3.2.1.2.1, 3.2.1.4.1, 3.2.1.2, 3.2.1.4, 3.2.1.6

symmetry centre 3.2.1.2.1

symmetry element

diagrams of 3.2.1.2.1, 3.2.1.2.1

symmetry

inherent (eigensymmetry) 3.2.1.2.2, 3.2.1.2.3, 3.2.2.2, 3.2.1.3

noncrystallographic 3.2.1.4, 3.2.1.5, 3.2.1.6

of a crystal face 3.2.1.2.2, 3.2.1.2.2

of special projections 3.2.1.2.1

symmetry of diffraction record 3.2.1.1

symmetry of physical properties 3.2.2.1

symmetry operations

matrix representation of 3.2.1.2.1, 3.2.1.4.2

tensor properties 3.2.2.6

tetartohedry 3.2.1.1, 3.2.1.2.5

tetragonal point groups 3.2.3.2

translationengleiche (t) subgroups 3.2.1.3

translationengleiche (t) supergroups 3.2.1.3

triclinic point groups 3.2.3.2

trigonal point groups 3.2.3.2

truncation of a polyhedron 3.2.1.2.4

twinning

by merohedry 3.2.2.3

uniaxial crystals 3.2.2.3

Wyckoff letter 3.2.1.2.2, 3.2.1.2.3, 3.2.1.4.2

Wyckoff positions 3.2.1.2.2, 3.2.1.2.2, 3.2.1.2.3

limiting form of 3.2.1.2.2

Chapter 3.2. Point groups and crystal classes

Chapter index