Results for Point Group S6



Symmetric powers of degenerate representation Eg
Vibrational overtones


Characters of symmetric powers
Power
To
E C3 (C3)2 i (S6)5 S6
1 2 -1 -1 2 -1 -1
2 3 0 0 3 0 0
3 4 1 1 4 1 1
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 -1 -1
8 9 0 0 9 0 0
9 10 1 1 10 1 1
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 -1 -1
14 15 0 0 15 0 0
15 16 1 1 16 1 1
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 -1 -1
20 21 0 0 21 0 0


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



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