This document is provided by the Chemical Portal www.webqc.orgCharacter table for I_{h} point group |
E | 12C_{5} | 12(C_{5})^{2} | 20C_{3} | 15C_{2} | i | 12S_{10} | 12(S_{10})^{3} | 20S_{6} | 15σ | linear, rotations |
quadratic | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
A_{g} | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | x^{2}+y^{2}+z^{2} | |
T_{1g} | 3 | -2cos(4π/5) | -2cos(2π/5) | 0 | -1 | 3 | -2cos(2π/5) | -2cos(4π/5) | 0 | -1 | (R_{x}, R_{y}, R_{z}) | |
T_{2g} | 3 | -2cos(2π/5) | -2cos(4π/5) | 0 | -1 | 3 | -2cos(4π/5) | -2cos(2π/5) | 0 | -1 | ||
G_{g} | 4 | -1 | -1 | 1 | 0 | 4 | -1 | -1 | 1 | 0 | ||
H_{g} | 5 | 0 | 0 | -1 | 1 | 5 | 0 | 0 | -1 | 1 | [2z^{2}-x^{2}-y^{2}, x^{2}-y^{2}, xy, xz, yz] | |
A_{u} | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | ||
T_{1u} | 3 | -2cos(4π/5) | -2cos(2π/5) | 0 | -1 | -3 | 2cos(2π/5) | 2cos(4π/5) | 0 | 1 | (x, y, z) | |
T_{2u} | 3 | -2cos(2π/5) | -2cos(4π/5) | 0 | -1 | -3 | 2cos(4π/5) | 2cos(2π/5) | 0 | 1 | ||
G_{u} | 4 | -1 | -1 | 1 | 0 | -4 | 1 | 1 | -1 | 0 | ||
H_{u} | 5 | 0 | 0 | -1 | 1 | -5 | 0 | 0 | 1 | -1 |