Results for Point Group S4



Symmetric powers of degenerate representation E
Vibrational overtones


Characters of symmetric powers
Power
To
E 2S4 C2
1 2 0 -2
2 3 -1 3
3 4 0 -4
4 5 1 5
5 6 0 -6
6 7 -1 7
7 8 0 -8
8 9 1 9
9 10 0 -10
10 11 -1 11
11 12 0 -12
12 13 1 13
13 14 0 -14
14 15 -1 15
15 16 0 -16
16 17 1 17
17 18 0 -18
18 19 -1 19
19 20 0 -20
20 21 1 21


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



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