|
This document is provided by the Chemical Portal www.webqc.org D6h point group |
| Abelian, 12(16) irreducible representations |
| Subgroups: Cs, Ci, C2, C3, C6, D2, D3, D6, C2v, C3v, C6v, C2h, C3h, C6h, D2h, D3h, D3d, S6 |
| E | 2C6 | 2C3 | C2 | 3C'2 | 3C''2 | i | 2S3 | 2S6 | σh | 3σd | 3σv | Linear, rotations |
Quadratic | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A1g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | x2+y2, z2 | |
| A2g | 1 | 1 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | 1 | -1 | -1 | Rz | |
| B1g | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | ||
| B2g | 1 | -1 | 1 | -1 | -1 | 1 | 1 | -1 | 1 | -1 | -1 | 1 | ||
| E1g | 2 | 1 | -1 | -2 | 0 | 0 | 2 | 1 | -1 | -2 | 0 | 0 | (Rx, Ry) | (xz, yz) |
| E2g | 2 | -1 | -1 | 2 | 0 | 0 | 2 | -1 | -1 | 2 | 0 | 0 | (x2-y2, xy) | |
| A1u | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | ||
| A2u | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | z | |
| B1u | 1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | -1 | 1 | ||
| B2u | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | -1 | 1 | 1 | -1 | ||
| E1u | 2 | 1 | -1 | -2 | 0 | 0 | -2 | -1 | 1 | 2 | 0 | 0 | (x, y) | |
| E2u | 2 | -1 | -1 | 2 | 0 | 0 | -2 | 1 | 1 | -2 | 0 | 0 |
| A1g | A2g | B1g | B2g | E1g | E2g | A1u | A2u | B1u | B2u | E1u | E2u | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A1g | A1g | A2g | B1g | B2g | E1g | E2g | A1u | A2u | B1u | B2u | E1u | E2u |
| A2g | A2g | A1g | B2g | B1g | E1g | E2g | A2u | A1u | B2u | B1u | E1u | E2u |
| B1g | B1g | B2g | A1g | A2g | E2g | E1g | B1u | B2u | A1u | A2u | E2u | E1u |
| B2g | B2g | B1g | A2g | A1g | E2g | E1g | B2u | B1u | A2u | A1u | E2u | E1u |
| E1g | E1g | E1g | E2g | E2g | A1g+A2g+E2g | B1g+B2g+E1g | E1u | E1u | E2u | E2u | A1u+A2u+E2u | B1u+B2u+E1u |
| E2g | E2g | E2g | E1g | E1g | B1g+B2g+E1g | A1g+A2g+E2g | E2u | E2u | E1u | E1u | B1u+B2u+E1u | A1u+A2u+E2u |
| A1u | A1u | A2u | B1u | B2u | E1u | E2u | A1g | A2g | B1g | B2g | E1g | E2g |
| A2u | A2u | A1u | B2u | B1u | E1u | E2u | A2g | A1g | B2g | B1g | E1g | E2g |
| B1u | B1u | B2u | A1u | A2u | E2u | E1u | B1g | B2g | A1g | A2g | E2g | E1g |
| B2u | B2u | B1u | A2u | A1u | E2u | E1u | B2g | B1g | A2g | A1g | E2g | E1g |
| E1u | E1u | E1u | E2u | E2u | A1u+A2u+E2u | B1u+B2u+E1u | E1g | E1g | E2g | E2g | A1g+A2g+E2g | B1g+B2g+E1g |
| E2u | E2u | E2u | E1u | E1u | B1u+B2u+E1u | A1u+A2u+E2u | E2g | E2g | E1g | E1g | B1g+B2g+E1g | A1g+A2g+E2g |