This document is provided by the Chemical Portal www.webqc.orgCharacter table for D∞h point group |
| E | 2C∞ | ... | ∞σv | i | 2S∞ | ... | ∞C'2 | linear functions, rotations |
quadratic | |
|---|---|---|---|---|---|---|---|---|---|---|
| A1g=Σ+g | 1 | 1 | ... | 1 | 1 | 1 | ... | 1 | x2+y2, z2 | |
| A2g=Σ-g | 1 | 1 | ... | -1 | 1 | 1 | ... | -1 | Rz | |
| E1g=Πg | 2 | 2cos(φ) | ... | 0 | 2 | -2cos(φ) | ... | 0 | (Rx, Ry) | (xz, yz) |
| E2g=Δg | 2 | 2cos(2φ) | ... | 0 | 2 | 2cos(2φ) | ... | 0 | (x2-y2, xy) | |
| E3g=Φg | 2 | 2cos(3φ) | ... | 0 | 2 | -2cos(3φ) | ... | 0 | ||
| ... | ... | ... | ... | ... | ... | ... | ... | ... | ||
| A1u=Σ+u | 1 | 1 | ... | 1 | -1 | -1 | ... | -1 | z | |
| A2u=Σ-u | 1 | 1 | ... | -1 | -1 | -1 | ... | 1 | ||
| E1u=Πu | 2 | 2cos(φ) | ... | 0 | -2 | 2cos(φ) | ... | 0 | (x, y) | |
| E2u=Δu | 2 | 2cos(2φ) | ... | 0 | -2 | -2cos(2φ) | ... | 0 | ||
| E3u=Φu | 2 | 2cos(3φ) | ... | 0 | -2 | 2cos(3φ) | ... | 0 | ||
| ... | ... | ... | ... | ... | ... | ... | ... | ... |