| D2h | E | C2(z) | C2(y) | C2(x) | i | σ(xy) | σ(xz) | σ(yz) | 线性 / 转动linear, rotations | 二次quadratic |
|---|---|---|---|---|---|---|---|---|---|---|
| Ag | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | x², y², z² | |
| B1g | 1 | 1 | −1 | −1 | 1 | 1 | −1 | −1 | Rz | xy |
| B2g | 1 | −1 | 1 | −1 | 1 | −1 | 1 | −1 | Ry | xz |
| B3g | 1 | −1 | −1 | 1 | 1 | −1 | −1 | 1 | Rx | yz |
| Au | 1 | 1 | 1 | 1 | −1 | −1 | −1 | −1 | ||
| B1u | 1 | 1 | −1 | −1 | −1 | −1 | 1 | 1 | z | |
| B2u | 1 | −1 | 1 | −1 | −1 | 1 | −1 | 1 | y | |
| B3u | 1 | −1 | −1 | 1 | −1 | 1 | 1 | −1 | x |
| 阶 hOrder h | 8 |
|---|---|
| 类数Classes | 8 |
| 所属族Family | Dnh |
| 代表分子Examples | 乙烯, 萘, B₂H₆, 对二氯苯ethene, naphthalene, B₂H₆, p-dichlorobenzene |
约化可约表示Reduce a representation
输入可约表示在各类上的特征标，按约化公式 \(n_i = \frac{1}{h}\sum_R g_R\,\chi(R)\,\chi_i(R)^{*}\) 求出各不可约表示出现的次数。
Enter the characters of a reducible representation; the reduction formula gives how many times each irreducible representation occurs.