Results for Point Group C6



Symmetric powers of degenerate representation E1
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 1 0 E1
2 1 0 0 1 A⊕E2
3 0 2 1 0 2B⊕E1
4 1 0 0 2 A⊕2E2
5 0 2 2 0 2B⊕2E1
6 3 0 0 2 3A⊕2E2
7 0 2 3 0 2B⊕3E1
8 3 0 0 3 3A⊕3E2
9 0 4 3 0 4B⊕3E1
10 3 0 0 4 3A⊕4E2
11 0 4 4 0 4B⊕4E1
12 5 0 0 4 5A⊕4E2
13 0 4 5 0 4B⊕5E1
14 5 0 0 5 5A⊕5E2
15 0 6 5 0 6B⊕5E1
16 5 0 0 6 5A⊕6E2
17 0 6 6 0 6B⊕6E1
18 7 0 0 6 7A⊕6E2
19 0 6 7 0 6B⊕7E1
20 7 0 0 7 7A⊕7E2



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