Results for Point Group C9



Symmetric powers of degenerate representation E3
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C9 2(C9)2 2C3 2(C9)4
1 2 -1.000 -1.000 2 -1.000
2 3 0.000 0.000 3 0.000
3 4 1.000 1.000 4 1.000
4 5 -1.000 -1.000 5 -1.000
5 6 0.000 0.000 6 0.000
6 7 1.000 1.000 7 1.000
7 8 -1.000 -1.000 8 -1.000
8 9 0.000 0.000 9 0.000
9 10 1.000 1.000 10 1.000
10 11 -1.000 -1.000 11 -1.000
11 12 0.000 0.000 12 0.000
12 13 1.000 1.000 13 1.000
13 14 -1.000 -1.000 14 -1.000
14 15 0.000 0.000 15 0.000
15 16 1.000 1.000 16 1.000
16 17 -1.000 -1.000 17 -1.000
17 18 0.000 0.000 18 0.000
18 19 1.000 1.000 19 1.000
19 20 -1.000 -1.000 20 -1.000
20 21 0.000 0.000 21 0.000


Decomposition to irreducible representations
Power
To
A E1* E2* E3* E4*
1 0 0 0 1 0 E3
2 1 0 0 1 0 A⊕E3
3 2 0 0 1 0 2A⊕E3
4 1 0 0 2 0 A⊕2E3
5 2 0 0 2 0 2A⊕2E3
6 3 0 0 2 0 3A⊕2E3
7 2 0 0 3 0 2A⊕3E3
8 3 0 0 3 0 3A⊕3E3
9 4 0 0 3 0 4A⊕3E3
10 3 0 0 4 0 3A⊕4E3
11 4 0 0 4 0 4A⊕4E3
12 5 0 0 4 0 5A⊕4E3
13 4 0 0 5 0 4A⊕5E3
14 5 0 0 5 0 5A⊕5E3
15 6 0 0 5 0 6A⊕5E3
16 5 0 0 6 0 5A⊕6E3
17 6 0 0 6 0 6A⊕6E3
18 7 0 0 6 0 7A⊕6E3
19 6 0 0 7 0 6A⊕7E3
20 7 0 0 7 0 7A⊕7E3



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