Results for Point Group C6v



Symmetric powers of degenerate representation E2
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C6 2C3 C2 v d
1 2 -1 -1 2 0 0
2 3 0 0 3 1 1
3 4 1 1 4 0 0
4 5 -1 -1 5 1 1
5 6 0 0 6 0 0
6 7 1 1 7 1 1
7 8 -1 -1 8 0 0
8 9 0 0 9 1 1
9 10 1 1 10 0 0
10 11 -1 -1 11 1 1
11 12 0 0 12 0 0
12 13 1 1 13 1 1
13 14 -1 -1 14 0 0
14 15 0 0 15 1 1
15 16 1 1 16 0 0
16 17 -1 -1 17 1 1
17 18 0 0 18 0 0
18 19 1 1 19 1 1
19 20 -1 -1 20 0 0
20 21 0 0 21 1 1


Decomposition to irreducible representations
Power
To
A1 A2 B1 B2 E1 E2
1 0 0 0 0 0 1 E2
2 1 0 0 0 0 1 A1⊕E2
3 1 1 0 0 0 1 A1⊕A2⊕E2
4 1 0 0 0 0 2 A1⊕2E2
5 1 1 0 0 0 2 A1⊕A2⊕2E2
6 2 1 0 0 0 2 2A1⊕A2⊕2E2
7 1 1 0 0 0 3 A1⊕A2⊕3E2
8 2 1 0 0 0 3 2A1⊕A2⊕3E2
9 2 2 0 0 0 3 2A1⊕2A2⊕3E2
10 2 1 0 0 0 4 2A1⊕A2⊕4E2
11 2 2 0 0 0 4 2A1⊕2A2⊕4E2
12 3 2 0 0 0 4 3A1⊕2A2⊕4E2
13 2 2 0 0 0 5 2A1⊕2A2⊕5E2
14 3 2 0 0 0 5 3A1⊕2A2⊕5E2
15 3 3 0 0 0 5 3A1⊕3A2⊕5E2
16 3 2 0 0 0 6 3A1⊕2A2⊕6E2
17 3 3 0 0 0 6 3A1⊕3A2⊕6E2
18 4 3 0 0 0 6 4A1⊕3A2⊕6E2
19 3 3 0 0 0 7 3A1⊕3A2⊕7E2
20 4 3 0 0 0 7 4A1⊕3A2⊕7E2



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