Results for Point Group C6h



Symmetric powers of degenerate representation E1u
Vibrational overtones


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


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


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