Results for Point Group C6h



Symmetric powers of degenerate representation E2g
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C6 2C3 C2 i 2S3 2S6 σh
1 2 -1 -1 2 2 -1 -1 2
2 3 0 0 3 3 0 0 3
3 4 1 1 4 4 1 1 4
4 5 -1 -1 5 5 -1 -1 5
5 6 0 0 6 6 0 0 6
6 7 1 1 7 7 1 1 7
7 8 -1 -1 8 8 -1 -1 8
8 9 0 0 9 9 0 0 9
9 10 1 1 10 10 1 1 10
10 11 -1 -1 11 11 -1 -1 11
11 12 0 0 12 12 0 0 12
12 13 1 1 13 13 1 1 13
13 14 -1 -1 14 14 -1 -1 14
14 15 0 0 15 15 0 0 15
15 16 1 1 16 16 1 1 16
16 17 -1 -1 17 17 -1 -1 17
17 18 0 0 18 18 0 0 18
18 19 1 1 19 19 1 1 19
19 20 -1 -1 20 20 -1 -1 20
20 21 0 0 21 21 0 0 21


Decomposition to irreducible representations
Power
To
Ag Bg E1g* E2g* Au Bu E1u* E2u*
1 0 0 0 1 0 0 0 0 E2g
2 1 0 0 1 0 0 0 0 Ag⊕E2g
3 2 0 0 1 0 0 0 0 2Ag⊕E2g
4 1 0 0 2 0 0 0 0 Ag⊕2E2g
5 2 0 0 2 0 0 0 0 2Ag⊕2E2g
6 3 0 0 2 0 0 0 0 3Ag⊕2E2g
7 2 0 0 3 0 0 0 0 2Ag⊕3E2g
8 3 0 0 3 0 0 0 0 3Ag⊕3E2g
9 4 0 0 3 0 0 0 0 4Ag⊕3E2g
10 3 0 0 4 0 0 0 0 3Ag⊕4E2g
11 4 0 0 4 0 0 0 0 4Ag⊕4E2g
12 5 0 0 4 0 0 0 0 5Ag⊕4E2g
13 4 0 0 5 0 0 0 0 4Ag⊕5E2g
14 5 0 0 5 0 0 0 0 5Ag⊕5E2g
15 6 0 0 5 0 0 0 0 6Ag⊕5E2g
16 5 0 0 6 0 0 0 0 5Ag⊕6E2g
17 6 0 0 6 0 0 0 0 6Ag⊕6E2g
18 7 0 0 6 0 0 0 0 7Ag⊕6E2g
19 6 0 0 7 0 0 0 0 6Ag⊕7E2g
20 7 0 0 7 0 0 0 0 7Ag⊕7E2g



Last update January, 3rd 2020 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement