Results for Point Group S6



Symmetric powers of degenerate representation Eu
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C3 i 2S6
1 2 -1 -2 1
2 3 0 3 0
3 4 1 -4 -1
4 5 -1 5 -1
5 6 0 -6 0
6 7 1 7 1
7 8 -1 -8 1
8 9 0 9 0
9 10 1 -10 -1
10 11 -1 11 -1
11 12 0 -12 0
12 13 1 13 1
13 14 -1 -14 1
14 15 0 15 0
15 16 1 -16 -1
16 17 -1 17 -1
17 18 0 -18 0
18 19 1 19 1
19 20 -1 -20 1
20 21 0 21 0


Decomposition to irreducible representations
Power
To
Ag Eg* Au Eu*
1 0 0 0 1 Eu
2 1 1 0 0 Ag⊕Eg
3 0 0 2 1 2Au⊕Eu
4 1 2 0 0 Ag⊕2Eg
5 0 0 2 2 2Au⊕2Eu
6 3 2 0 0 3Ag⊕2Eg
7 0 0 2 3 2Au⊕3Eu
8 3 3 0 0 3Ag⊕3Eg
9 0 0 4 3 4Au⊕3Eu
10 3 4 0 0 3Ag⊕4Eg
11 0 0 4 4 4Au⊕4Eu
12 5 4 0 0 5Ag⊕4Eg
13 0 0 4 5 4Au⊕5Eu
14 5 5 0 0 5Ag⊕5Eg
15 0 0 6 5 6Au⊕5Eu
16 5 6 0 0 5Ag⊕6Eg
17 0 0 6 6 6Au⊕6Eu
18 7 6 0 0 7Ag⊕6Eg
19 0 0 6 7 6Au⊕7Eu
20 7 7 0 0 7Ag⊕7Eg



Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement