Results for Point Group C4v



Symmetric powers of degenerate representation E
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C4 C2 v d
1 2 0 -2 0 0
2 3 -1 3 1 1
3 4 0 -4 0 0
4 5 1 5 1 1
5 6 0 -6 0 0
6 7 -1 7 1 1
7 8 0 -8 0 0
8 9 1 9 1 1
9 10 0 -10 0 0
10 11 -1 11 1 1
11 12 0 -12 0 0
12 13 1 13 1 1
13 14 0 -14 0 0
14 15 -1 15 1 1
15 16 0 -16 0 0
16 17 1 17 1 1
17 18 0 -18 0 0
18 19 -1 19 1 1
19 20 0 -20 0 0
20 21 1 21 1 1


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



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