This document is provided by the Chemical Portal www.webqc.orgCharacter table for C_{4h} point group |
E | C_{4}(z) | C_{2} | (C_{4})^{3} | i | (S_{4})^{3} | σ_{h} | S_{4} | linear, rotations |
quadratic | |
---|---|---|---|---|---|---|---|---|---|---|
A_{g} | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | R_{z} | x^{2}+y^{2}, z^{2} |
B_{g} | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | x^{2}-y^{2}, xy | |
E_{g} | 1 1 |
i -i |
-1 -1 |
-i i |
1 1 |
i -i |
-1 -1 |
-i i |
R_{x}+iR_{y} R_{x}-iR_{y} |
(xz, yz) |
A_{u} | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | z | |
B_{u} | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 1 | ||
E_{u} | 1 1 |
i -i |
-1 -1 |
-i i |
-1 -1 |
-i i |
1 1 |
i -i |
x+iy x-iy |