Symmetry Pages

Categorisation by Class: Orthorhombic

Symmetry Pages

Cubic (T Th O Td Oh)
Tetragonal (C4 S4 C4h D4 C4v D2d D4h)
Orthorhombic
Operations Order Schönflies
Symbol
International
Symbol
Full
Symmetry
Symbol
Correlation
Table
Irred. Rep.
products
× i Isomorph.
with
E, C2, C2’, C2’’ 4 D2(V) 222 222   D2h C2v, C2h
E, C2, σv, σv 4 C2v mm2 mm2 correlation D2h D2, C2h
E, C2, C2’, C2’’, i, σ, σ’, σ’’ 8 D2h(Vh) mmm 2/m2/m2/m correlation D2h  
Rhombic symmetry for defects in cubic crystals is often pided into two types:
Type I: C2 coincides with the [110] direction and C2’ and C2’’ with [001] and [1-10] directions respectively (or, σv and σv’ coincide with the planes (1-10) and (001)). Also belonging to type I are centres for which C2 coincides with [001] and σv and σv’ with (110) and (1-10).
Type II: C2 axis coincides with [001] and the axes C2’ and C2’’ with [100] and [010], (or, alternatively, σv and σv’ coincide with (010) and (100)).
Monoclinic (C2 Cs C2h)
Triclinic (C1 Ci)
Trigonal (C3 S6 D3 C3v D3d)
Hexagonal (C6 C3h C6h D6 C6v D3h D6h)
Non-crystallographic (C Ch Cv Dh C5 S8 D5 C5v C5h D4d D5d D5h D6d I Ih)
All

This table lists point group symmetries along with their symmetry operations, the order of the group (i.e. the number of symmetry operations) and common notations.maps to symbollinks to a correlation table, and ⊗ links to tables of products of irreducible representations. The group produced by combination with inversion is listed under "× i". This, in the case of crystolographic point groups, is the Laue class which corresponds to the symmetry of reciprocal space. Isomorphic groups are also listed where character tables are available.

Revised: © University of Newcastle upon Tyne, UK