Reduction formula for point group C3v

Reduction formula for point group C_3v

**Characters of input representation**
E	2C₃ (z)	3_v
17	2	5

**Decomposition into Irreducible representations**
A₁	A₂	E
6	1	5

Symmetric Powers of Representation

**Characters of symmetric powers**
Tensor Order	E	2C₃ (z)	3_v
1	17	2	5
2	153	3	21
3	969	9	65
4	4.845	15	181
5	20.349	21	441
6	74.613	42	1.001

**Decomposition into Irreducible representations**
Tensor Order	A₁	A₂	E
1	6	1	5
2	37	16	50
3	197	132	320
4	903	722	1.610
5	3.619	3.178	6.776
6	12.950	11.949	24.857

Antisymmetric Powers of Representation

**Characters of antisymmetric powers**
Tensor Order	E	2C₃ (z)	3_v
1	17	2	5
2	136	1	4
3	680	5	-20
4	2.380	10	-40
5	6.188	5	16
6	12.376	10	100

**Decomposition into Irreducible representations**
Tensor Order	A₁	A₂	E
1	6	1	5
2	25	21	45
3	105	125	225
4	380	420	790
5	1.041	1.025	2.061
6	2.116	2.016	4.122

Character tables for chemically important point groups

Character table for point group C3v

Constructor University Bremen

Last update November, 13^th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement