Crystal Classes
The isometric crystal system class names, examples, Schönflies notation, Hermann-Mauguin notation, point groups, International Tables for Crystallography space group number, orbifold, type, and space groups are listed in the table below. There are a total 36 cubic space groups.
| # | Point group | Example | Type | Space groups | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Class | Schönflies | Intl | Orbifold | Coxeter | |||||||||||||
| Tetartoidal | T | 23 | 332 | + | Ullmannite | enantiomorphic | P23 | F23 | I23 | P213 | I213 | ||||||
| Diploidal | Th | 2/m3 (m3) |
3*2 | Pyrite | centrosymmetric | Pm3 | Pn3 | Fm3 | Fd3 | I3 | Pa3 | Ia3 | |||||
| Gyroidal | O | 432 | 432 | + | Petzite | enantiomorphic | P432 | P4232 | F432 | F4132 | I432 | P4332 | P4132 | I4132 | |||
| Hextetrahedral | Td | 43m | *332 | Sphalerite | P43m | F43m | I43m | P43n | F43c | I43d | |||||||
| Hexoctahedral | Oh | 4/m32/m (m3m) |
*432 | Galena | centrosymmetric | Pm3m | Pn3n | Pm3n | Pn3m | Fm3m | Fm3c | Fd3m | Fd3c | Im3m | Ia3d | ||
Other terms for hexoctahedral are: normal class, holohedral, ditesseral central class, galena type.
Read more about this topic: Cubic Crystal System
Famous quotes containing the words crystal and/or classes:
“Madame, ye been alle beautee shrine
As fer as cercled is the mapemounde:
For as the crystal glorious ye shine,
And like ruby been youre cheekes rounde.”
—Geoffrey Chaucer (1340?–1400)
“Genocide begins, however improbably, in the conviction that classes of biological distinction indisputably sanction social and political discrimination.”
—Andrea Dworkin (b. 1946)