Results for Point Group O



Symmetric powers of degenerate representation E
Vibrational overtones


Characters of symmetric powers
Power
To
E 8C3 6C2 6C4 3C2
1 2 -1 0 0 2
2 3 0 1 1 3
3 4 1 0 0 4
4 5 -1 1 1 5
5 6 0 0 0 6
6 7 1 1 1 7
7 8 -1 0 0 8
8 9 0 1 1 9
9 10 1 0 0 10
10 11 -1 1 1 11
11 12 0 0 0 12
12 13 1 1 1 13
13 14 -1 0 0 14
14 15 0 1 1 15
15 16 1 0 0 16
16 17 -1 1 1 17
17 18 0 0 0 18
18 19 1 1 1 19
19 20 -1 0 0 20
20 21 0 1 1 21


Decomposition to irreducible representations
Power
To
A1 A2 E T1 T2
1 0 0 1 0 0 E
2 1 0 1 0 0 A1⊕E
3 1 1 1 0 0 A1⊕A2⊕E
4 1 0 2 0 0 A1⊕2E
5 1 1 2 0 0 A1⊕A2⊕2E
6 2 1 2 0 0 2A1⊕A2⊕2E
7 1 1 3 0 0 A1⊕A2⊕3E
8 2 1 3 0 0 2A1⊕A2⊕3E
9 2 2 3 0 0 2A1⊕2A2⊕3E
10 2 1 4 0 0 2A1⊕A2⊕4E
11 2 2 4 0 0 2A1⊕2A2⊕4E
12 3 2 4 0 0 3A1⊕2A2⊕4E
13 2 2 5 0 0 2A1⊕2A2⊕5E
14 3 2 5 0 0 3A1⊕2A2⊕5E
15 3 3 5 0 0 3A1⊕3A2⊕5E
16 3 2 6 0 0 3A1⊕2A2⊕6E
17 3 3 6 0 0 3A1⊕3A2⊕6E
18 4 3 6 0 0 4A1⊕3A2⊕6E
19 3 3 7 0 0 3A1⊕3A2⊕7E
20 4 3 7 0 0 4A1⊕3A2⊕7E



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