Results for Point Group C8



Symmetric powers of degenerate representation E2
Vibrational overtones


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


Decomposition to irreducible representations
Power
To		 A B E1* E2* E3*
1 0 0 0 1 0 E2
2 1 2 0 0 0 A⊕2B
3 0 0 0 2 0 2E2
4 3 2 0 0 0 3A⊕2B
5 0 0 0 3 0 3E2
6 3 4 0 0 0 3A⊕4B
7 0 0 0 4 0 4E2
8 5 4 0 0 0 5A⊕4B
9 0 0 0 5 0 5E2
10 5 6 0 0 0 5A⊕6B
11 0 0 0 6 0 6E2
12 7 6 0 0 0 7A⊕6B
13 0 0 0 7 0 7E2
14 7 8 0 0 0 7A⊕8B
15 0 0 0 8 0 8E2
16 9 8 0 0 0 9A⊕8B
17 0 0 0 9 0 9E2
18 9 10 0 0 0 9A⊕10B
19 0 0 0 10 0 10E2
20 11 10 0 0 0 11A⊕10B


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