|
This document is provided by the Chemical Portal www.webqc.org D3d point group |
| not Abelian, 6(8) irreducible representations |
| Subgroups: Cs, Ci, C2, C3, D3, C3v, S6 |
| E | 2C3 | 3C'2 | i | 2S6 | 3σd | linear, rotations |
quadratic | |
|---|---|---|---|---|---|---|---|---|
| A1g | 1 | 1 | 1 | 1 | 1 | 1 | x2+y2, z2 | |
| A2g | 1 | 1 | -1 | 1 | 1 | -1 | Rz | |
| Eg | 2 | -1 | 0 | 2 | -1 | 0 | (Rx, Ry) | (x2-y2, xy) (xz, yz) |
| A1u | 1 | 1 | 1 | -1 | -1 | -1 | ||
| A2u | 1 | 1 | -1 | -1 | -1 | 1 | z | |
| Eu | 2 | -1 | 0 | -2 | 1 | 0 | (x, y) |
| A1g | A2g | Eg | A1u | A2u | Eu | |
|---|---|---|---|---|---|---|
| A1g | A1g | A2g | Eg | A1u | A2u | Eu |
| A2g | A2g | A1g | Eg | A2u | A1u | Eu |
| Eg | Eg | Eg | A1g+A2g+Eg | Eu | Eu | A1u+A2u+Eu |
| A1u | A1u | A2u | Eu | A1g | A2g | Eg |
| A2u | A2u | A1u | Eu | A2g | A1g | Eg |
| Eu | Eu | Eu | A1u+A2u+Eu | Eg | Eg | A1g+A2g+Eg |