Results for Point Group C6h



Symmetric powers of degenerate representation E1g
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 1 0 0 0 0 0 E1g
2 1 0 0 1 0 0 0 0 Ag⊕E2g
3 0 2 1 0 0 0 0 0 2Bg⊕E1g
4 1 0 0 2 0 0 0 0 Ag⊕2E2g
5 0 2 2 0 0 0 0 0 2Bg⊕2E1g
6 3 0 0 2 0 0 0 0 3Ag⊕2E2g
7 0 2 3 0 0 0 0 0 2Bg⊕3E1g
8 3 0 0 3 0 0 0 0 3Ag⊕3E2g
9 0 4 3 0 0 0 0 0 4Bg⊕3E1g
10 3 0 0 4 0 0 0 0 3Ag⊕4E2g
11 0 4 4 0 0 0 0 0 4Bg⊕4E1g
12 5 0 0 4 0 0 0 0 5Ag⊕4E2g
13 0 4 5 0 0 0 0 0 4Bg⊕5E1g
14 5 0 0 5 0 0 0 0 5Ag⊕5E2g
15 0 6 5 0 0 0 0 0 6Bg⊕5E1g
16 5 0 0 6 0 0 0 0 5Ag⊕6E2g
17 0 6 6 0 0 0 0 0 6Bg⊕6E1g
18 7 0 0 6 0 0 0 0 7Ag⊕6E2g
19 0 6 7 0 0 0 0 0 6Bg⊕7E1g
20 7 0 0 7 0 0 0 0 7Ag⊕7E2g



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