This document is provided by the Chemical Portal www.webqc.orgCharacter table for D_{5h} point group |
E | 2C_{5} | 2(C_{5})^{2} | 5C'_{2} | σ_{h} | 2S_{5} | 2(S_{5})^{3} | 5σ_{v} | rotations |
quadratic | |
---|---|---|---|---|---|---|---|---|---|---|
A'_{1} | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | x^{2}+y^{2}, z^{2} | |
A'_{2} | 1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | R_{z} | |
E'_{1} | 2 | 2cos(2π/5) | 2cos(4π/5) | 0 | 2 | 2cos(2π/5) | 2cos(4π/5) | 0 | (x, y) | |
E'_{2} | 2 | 2cos(4π/5) | 2cos(2π/5) | 0 | 2 | 2cos(4π/5) | 2cos(2π/5) | 0 | (x^{2}-y^{2}, xy) | |
A''_{1} | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | ||
A''_{2} | 1 | 1 | 1 | -1 | -1 | -1 | -1 | 1 | z | |
E''_{1} | 2 | 2cos(2π/5) | 2cos(4π/5) | 0 | -2 | -2cos(2π/5) | -2cos(4π/5) | 0 | (R_{x}, R_{y}) | (xz, yz) |
E''_{2} | 2 | 2cos(4π/5) | 2cos(2π/5) | 0 | -2 | -2cos(4π/5) | -2cos(2π/5) | 0 |