Results for Point Group C4h



Symmetric powers of degenerate representation Eg
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C4 C2 i 2S4 σh
1 2 0 -2 2 0 -2
2 3 -1 3 3 -1 3
3 4 0 -4 4 0 -4
4 5 1 5 5 1 5
5 6 0 -6 6 0 -6
6 7 -1 7 7 -1 7
7 8 0 -8 8 0 -8
8 9 1 9 9 1 9
9 10 0 -10 10 0 -10
10 11 -1 11 11 -1 11
11 12 0 -12 12 0 -12
12 13 1 13 13 1 13
13 14 0 -14 14 0 -14
14 15 -1 15 15 -1 15
15 16 0 -16 16 0 -16
16 17 1 17 17 1 17
17 18 0 -18 18 0 -18
18 19 -1 19 19 -1 19
19 20 0 -20 20 0 -20
20 21 1 21 21 1 21


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



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