Difference between revisions of "Crystal symmetry"
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|| '''a''', '''b''', and '''c''' perpendicular and equal in length | || '''a''', '''b''', and '''c''' perpendicular and equal in length | ||
|} | |} | ||
| + | |||
| + | == Bravais lattices == | ||
| + | see: [[wikipedia:Bravais lattice|Bravais lattice]] | ||
| + | |||
| + | == Space groups == | ||
| + | see: [[wikipedia:Space groups|Space groups]], [http://fr.wikipedia.org/wiki/Syst%C3%A8me_cristallin#Les_230_groupes_d.27espace Overview of all space groups] (in French) | ||
[[Category:Crystallography]] | [[Category:Crystallography]] | ||
Latest revision as of 22:49, 11 October 2006
| Crystal Systems | |||
|---|---|---|---|
| System | Minimum symmetry | Dimensional requirements for unit cell | |
| Triclinic | none | none | |
| Monoclinic | Twofold axis (parallel to b) | a and c are both perpendicular to b (but not to each other) | |
| Orthorhombic | Three mutually perpendicular twofold axes | a, b, and c all perpendicular | |
| Tetragonal | Fourfold axis (parallel to c) | a, b, and c all perpendicular; a and b equal in length | |
| Rhombohedral (or Trigonal) | Threefold axis (parallel to c) | a, b perpendicular to c and at 120° to each other; a and b equal | |
| Hexagonal | Sixfold axis (parallel to c) | Same as trigonal | |
| Cubic | Threefold axes along cube diagonals | a, b, and c perpendicular and equal in length | |
Bravais lattices
see: Bravais lattice
Space groups
see: Space groups, Overview of all space groups (in French)