|
This document is provided by the Chemical Portal www.webqc.org D2h point group |
| Abelian, 8 irreducible representations |
| Subgroups: Cs, Ci, C2, C2v, C2h |
| E | C2 (z) | C2 (y) | C2 (x) | i | σ (xy) | σ (xz) | σ (yz) | rotations |
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|---|---|---|---|---|---|---|---|---|---|---|
| Ag | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | x2, y2, z2 | |
| B1g | 1 | 1 | -1 | -1 | 1 | 1 | -1 | -1 | Rz | xy |
| B2g | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | Ry | xz |
| B3g | 1 | -1 | -1 | 1 | 1 | -1 | -1 | 1 | Rx | yz |
| Au | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | ||
| B1u | 1 | 1 | -1 | -1 | -1 | -1 | 1 | 1 | z | |
| B2u | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | y | |
| B3u | 1 | -1 | -1 | 1 | -1 | 1 | 1 | -1 | x |
| Ag | B1g | B2g | B3g | Au | B1u | B2u | B3u | |
|---|---|---|---|---|---|---|---|---|
| Ag | Ag | B1g | B2g | B3g | Au | B1u | B2u | B3u |
| B1g | B1g | Ag | B3g | B2g | B1u | Au | B3u | B2u |
| B2g | B2g | B3g | Ag | B1g | B2u | B3u | Au | B1u |
| B3g | B3g | B2g | B1g | Ag | B3u | B2u | B1u | Au |
| Au | Au | B1u | B2u | B3u | Ag | B1g | B2g | B3g |
| B1u | B1u | Au | B3u | B2u | B1g | Ag | B3g | B2g |
| B2u | B2u | B3u | Au | B1u | B2g | B3g | Ag | B1g |
| B3u | B3u | B2u | B1u | Au | B3g | B2g | B1g | Ag |