This document is provided by the Chemical Portal www.webqc.org D6d point group |
not Abelian, 9(14) irreducible representations |
Subgroups: Cs, C2, C3, C6, D2, D3, D6, C2v, C3v, C6v, S4, S12 |
E | 2S12 | 2C6 | 2S4 | 2C3 | 2(S12)5 | C2 | 6C'2 | 6σd | linear, rotations |
quadratic | |
---|---|---|---|---|---|---|---|---|---|---|---|
A1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | x2+y2, z2 | |
A2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | Rz | |
B1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 | ||
B2 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | z | |
E1 | 2 | (3)1/2 | 1 | 0 | -1 | -(3)1/2 | -2 | 0 | 0 | (x, y) | |
E2 | 2 | 1 | -1 | -2 | -1 | 1 | 2 | 0 | 0 | (x2-y2, xy) | |
E3 | 2 | 0 | -2 | 0 | 2 | 0 | -2 | 0 | 0 | ||
E4 | 2 | -1 | -1 | 2 | -1 | -1 | 2 | 0 | 0 | ||
E5 | 2 | -(3)1/2 | 1 | 0 | -1 | (3)1/2 | -2 | 0 | 0 | (Rx, Ry) | (xz, yz) |
A1 | A2 | B1 | B2 | E1 | E2 | E3 | E4 | E5 | |
---|---|---|---|---|---|---|---|---|---|
A1 | A1 | A2 | B1 | B2 | E1 | E2 | E3 | E4 | E5 |
A2 | A2 | A1 | B2 | B1 | E1 | E2 | E3 | E4 | E5 |
B1 | B1 | B2 | A1 | A2 | E5 | E4 | E3 | E2 | E1 |
B2 | B2 | B1 | A2 | A1 | E5 | E4 | E3 | E2 | E1 |
E1 | E1 | E1 | E5 | E5 | A1+A2+E2 | E1+E3 | E2+E4 | E3+E5 | B1+B2+E4 |
E2 | E2 | E2 | E4 | E4 | E1+E3 | A1+A2+E4 | E1+E5 | B1+B2+E3 | E3+E5 |
E3 | E3 | E3 | E3 | E3 | E2+E4 | E1+E5 | A1+A2+B1+B2 | E1+E5 | E2+E4 |
E4 | E4 | E4 | E2 | E2 | E3+E5 | B1+B2+E2 | E1+E5 | A1+A2+E4 | E1+E3 |
E5 | E5 | E5 | E1 | E1 | B1+B2+E4 | E3+E5 | E2+E4 | E1+E3 | A1+A2+E2 |