Results for Point Group T



Symmetric powers of degenerate representation E
Vibrational overtones


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


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



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