This document is provided by the Chemical Portal www.webqc.orgCharacter table for D5h point group |
| E | 2C5 | 2(C5)2 | 5C'2 | σh | 2S5 | 2(S5)3 | 5σv | rotations |
quadratic | |
|---|---|---|---|---|---|---|---|---|---|---|
| A'1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | x2+y2, z2 | |
| A'2 | 1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 | Rz | |
| 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 | (x2-y2, 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 | (Rx, Ry) | (xz, yz) |
| E''2 | 2 | 2cos(4π/5) | 2cos(2π/5) | 0 | -2 | -2cos(4π/5) | -2cos(2π/5) | 0 |