This document is provided by the Chemical Portal www.webqc.org D6 point group |
not Abelian, 6(8) irreducible representations |
Subgroups: C2, C3, C6, D2, D3 |
E | 2C6 (z) | 2C3 (z) | C2 (z) | 3C'2 | 3C''2 | linear, rotations |
quadratic | |
A1 | 1 | 1 | 1 | 1 | 1 | 1 | x2+y2, z2 | |
A2 | 1 | 1 | 1 | 1 | -1 | -1 | z, Rz | |
B1 | 1 | -1 | 1 | -1 | 1 | -1 | ||
B2 | 1 | -1 | 1 | -1 | -1 | 1 | ||
E1 | 2 | 1 | -1 | -2 | 0 | 0 | (x, y) (Rx, Ry) | (xz, yz) |
E2 | 2 | -1 | -1 | 2 | 0 | 0 | (x2-y2, xy) |
A1 | A2 | B1 | B2 | E1 | E2 | |
---|---|---|---|---|---|---|
A1 | A1 | A2 | B1 | B2 | E1 | E2 |
A2 | A2 | A1 | B2 | B1 | E1 | E2 |
B1 | B1 | B2 | A1 | A2 | E2 | E1 |
B2 | B2 | B1 | A2 | A1 | E2 | E1 |
E1 | E1 | E1 | E2 | E2 | A1+A2+E2 | B1+B2+E1 |
E2 | E2 | E2 | E1 | E1 | B1+B2+E1 | A1+A2+E2 |