Results for Point Group C9v



Symmetric powers of degenerate representation E3
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C9 2(C9)2 2C3 2(C9)4 v
1 2 -1.000 -1.000 2 -1.000 0
2 3 0.000 0.000 3 0.000 1
3 4 1.000 1.000 4 1.000 0
4 5 -1.000 -1.000 5 -1.000 1
5 6 0.000 0.000 6 0.000 0
6 7 1.000 1.000 7 1.000 1
7 8 -1.000 -1.000 8 -1.000 0
8 9 0.000 0.000 9 0.000 1
9 10 1.000 1.000 10 1.000 0
10 11 -1.000 -1.000 11 -1.000 1
11 12 0.000 0.000 12 0.000 0
12 13 1.000 1.000 13 1.000 1
13 14 -1.000 -1.000 14 -1.000 0
14 15 0.000 0.000 15 0.000 1
15 16 1.000 1.000 16 1.000 0
16 17 -1.000 -1.000 17 -1.000 1
17 18 0.000 0.000 18 0.000 0
18 19 1.000 1.000 19 1.000 1
19 20 -1.000 -1.000 20 -1.000 0
20 21 0.000 0.000 21 0.000 1


Decomposition to irreducible representations
Power
To
A1 A2 E1 E2 E3 E4
1 0 0 0 0 1 0 E3
2 1 0 0 0 1 0 A1⊕E3
3 1 1 0 0 1 0 A1⊕A2⊕E3
4 1 0 0 0 2 0 A1⊕2E3
5 1 1 0 0 2 0 A1⊕A2⊕2E3
6 2 1 0 0 2 0 2A1⊕A2⊕2E3
7 1 1 0 0 3 0 A1⊕A2⊕3E3
8 2 1 0 0 3 0 2A1⊕A2⊕3E3
9 2 2 0 0 3 0 2A1⊕2A2⊕3E3
10 2 1 0 0 4 0 2A1⊕A2⊕4E3
11 2 2 0 0 4 0 2A1⊕2A2⊕4E3
12 3 2 0 0 4 0 3A1⊕2A2⊕4E3
13 2 2 0 0 5 0 2A1⊕2A2⊕5E3
14 3 2 0 0 5 0 3A1⊕2A2⊕5E3
15 3 3 0 0 5 0 3A1⊕3A2⊕5E3
16 3 2 0 0 6 0 3A1⊕2A2⊕6E3
17 3 3 0 0 6 0 3A1⊕3A2⊕6E3
18 4 3 0 0 6 0 4A1⊕3A2⊕6E3
19 3 3 0 0 7 0 3A1⊕3A2⊕7E3
20 4 3 0 0 7 0 4A1⊕3A2⊕7E3



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