双语化学辞典Chem Lexicon
点群 Point group

D3h 点群特征标表D3h character table

国际符号(Hermann–Mauguin)Hermann–Mauguin symbol 6̄m2
D3hE2C33C2σh2S33σv线性 / 转动linear, rotations二次quadratic
A′1111111x²+y², z²
A′211−111−1Rz
E′2−102−10(x, y)(x²−y², xy)
A″1111−1−1−1
A″211−1−1−11z
E″2−10−210(Rx, Ry)(xz, yz)
阶 hOrder h12
类数Classes6
所属族FamilyDnh
代表分子ExamplesBF₃, PF₅, SO₃, CO₃²⁻, 环丙烷BF₃, PF₅, SO₃, CO₃²⁻, cyclopropane
在 3D 中查看并做对称操作Open in 3D and try the symmetry operationsBF₃ →PCl₅ →

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.