This document is provided by the Chemical Portal www.webqc.orgCharacter table for Ih point group |
| E | 12C5 | 12(C5)2 | 20C3 | 15C2 | i | 12S10 | 12(S10)3 | 20S6 | 15σ | linear, rotations |
quadratic | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Ag | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | x2+y2+z2 | |
| T1g | 3 | -2cos(4π/5) | -2cos(2π/5) | 0 | -1 | 3 | -2cos(2π/5) | -2cos(4π/5) | 0 | -1 | (Rx, Ry, Rz) | |
| T2g | 3 | -2cos(2π/5) | -2cos(4π/5) | 0 | -1 | 3 | -2cos(4π/5) | -2cos(2π/5) | 0 | -1 | ||
| Gg | 4 | -1 | -1 | 1 | 0 | 4 | -1 | -1 | 1 | 0 | ||
| Hg | 5 | 0 | 0 | -1 | 1 | 5 | 0 | 0 | -1 | 1 | [2z2-x2-y2, x2-y2, xy, xz, yz] | |
| Au | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | ||
| T1u | 3 | -2cos(4π/5) | -2cos(2π/5) | 0 | -1 | -3 | 2cos(2π/5) | 2cos(4π/5) | 0 | 1 | (x, y, z) | |
| T2u | 3 | -2cos(2π/5) | -2cos(4π/5) | 0 | -1 | -3 | 2cos(4π/5) | 2cos(2π/5) | 0 | 1 | ||
| Gu | 4 | -1 | -1 | 1 | 0 | -4 | 1 | 1 | -1 | 0 | ||
| Hu | 5 | 0 | 0 | -1 | 1 | -5 | 0 | 0 | 1 | -1 |