|
This document is provided by the Chemical Portal www.webqc.org C6v point group |
| not Abelian, 6(8) irreducible representations |
| Subgroups: Cs, C2, C3, C6, C2v, C3v |
| E | 2C6 (z) | 2C3 (z) | C2 (z) | 3σv | 3σd | linear, rotations |
quadratic | |
|---|---|---|---|---|---|---|---|---|
| A1 | 1 | 1 | 1 | 1 | 1 | 1 | z | x2+y2, z2 |
| A2 | 1 | 1 | 1 | 1 | -1 | -1 | 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 |