Results for Point Group C8h



Symmetric powers of degenerate representation E2g
Vibrational overtones


Characters of symmetric powers
Power
To		 E 2C8 2C4 2(C8)3 C2 i 2(S8)3 2S4 2S8 σh
1 2 0.000 -2 0.000 2 2 0.000 -2 0.000 2
2 3 -1.000 3 -1.000 3 3 -1.000 3 -1.000 3
3 4 0.000 -4 0.000 4 4 0.000 -4 0.000 4
4 5 1.000 5 1.000 5 5 1.000 5 1.000 5
5 6 0.000 -6 0.000 6 6 0.000 -6 0.000 6
6 7 -1.000 7 -1.000 7 7 -1.000 7 -1.000 7
7 8 0.000 -8 0.000 8 8 0.000 -8 0.000 8
8 9 1.000 9 1.000 9 9 1.000 9 1.000 9
9 10 0.000 -10 0.000 10 10 0.000 -10 0.000 10
10 11 -1.000 11 -1.000 11 11 -1.000 11 -1.000 11
11 12 0.000 -12 0.000 12 12 0.000 -12 0.000 12
12 13 1.000 13 1.000 13 13 1.000 13 1.000 13
13 14 0.000 -14 0.000 14 14 0.000 -14 0.000 14
14 15 -1.000 15 -1.000 15 15 -1.000 15 -1.000 15
15 16 0.000 -16 0.000 16 16 0.000 -16 0.000 16
16 17 1.000 17 1.000 17 17 1.000 17 1.000 17
17 18 0.000 -18 0.000 18 18 0.000 -18 0.000 18
18 19 -1.000 19 -1.000 19 19 -1.000 19 -1.000 19
19 20 0.000 -20 0.000 20 20 0.000 -20 0.000 20
20 21 1.000 21 1.000 21 21 1.000 21 1.000 21


Decomposition to irreducible representations
Power
To		 Ag Bg E1g* E2g* E3g* Au Bu E1u* E2u* E3u*
1 0 0 0 1 0 0 0 0 0 0 E2g
2 1 2 0 0 0 0 0 0 0 0 Ag⊕2Bg
3 0 0 0 2 0 0 0 0 0 0 2E2g
4 3 2 0 0 0 0 0 0 0 0 3Ag⊕2Bg
5 0 0 0 3 0 0 0 0 0 0 3E2g
6 3 4 0 0 0 0 0 0 0 0 3Ag⊕4Bg
7 0 0 0 4 0 0 0 0 0 0 4E2g
8 5 4 0 0 0 0 0 0 0 0 5Ag⊕4Bg
9 0 0 0 5 0 0 0 0 0 0 5E2g
10 5 6 0 0 0 0 0 0 0 0 5Ag⊕6Bg
11 0 0 0 6 0 0 0 0 0 0 6E2g
12 7 6 0 0 0 0 0 0 0 0 7Ag⊕6Bg
13 0 0 0 7 0 0 0 0 0 0 7E2g
14 7 8 0 0 0 0 0 0 0 0 7Ag⊕8Bg
15 0 0 0 8 0 0 0 0 0 0 8E2g
16 9 8 0 0 0 0 0 0 0 0 9Ag⊕8Bg
17 0 0 0 9 0 0 0 0 0 0 9E2g
18 9 10 0 0 0 0 0 0 0 0 9Ag⊕10Bg
19 0 0 0 10 0 0 0 0 0 0 10E2g
20 11 10 0 0 0 0 0 0 0 0 11Ag⊕10Bg


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