Results for Point Group C6



Symmetric powers of degenerate representation E2
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C6 2C3 C2
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 B E1* E2*
1 0 0 0 1 E2
2 1 0 0 1 A⊕E2
3 2 0 0 1 2A⊕E2
4 1 0 0 2 A⊕2E2
5 2 0 0 2 2A⊕2E2
6 3 0 0 2 3A⊕2E2
7 2 0 0 3 2A⊕3E2
8 3 0 0 3 3A⊕3E2
9 4 0 0 3 4A⊕3E2
10 3 0 0 4 3A⊕4E2
11 4 0 0 4 4A⊕4E2
12 5 0 0 4 5A⊕4E2
13 4 0 0 5 4A⊕5E2
14 5 0 0 5 5A⊕5E2
15 6 0 0 5 6A⊕5E2
16 5 0 0 6 5A⊕6E2
17 6 0 0 6 6A⊕6E2
18 7 0 0 6 7A⊕6E2
19 6 0 0 7 6A⊕7E2
20 7 0 0 7 7A⊕7E2



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