Results for Point Group C3



Symmetric powers of degenerate representation E
Vibrational overtones


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


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



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