Results for Point Group C3h



Symmetric powers of degenerate representation E'
Vibrational overtones


Characters of symmetric powers
Power
To		 E C3 (C3)2 σh S3 (S3)5
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		 A' E'* A'' E''*
1 0 1 0 0 E'
2 1 1 0 0 A'⊕E'
3 2 1 0 0 2A'⊕E'
4 1 2 0 0 A'⊕2E'
5 2 2 0 0 2A'⊕2E'
6 3 2 0 0 3A'⊕2E'
7 2 3 0 0 2A'⊕3E'
8 3 3 0 0 3A'⊕3E'
9 4 3 0 0 4A'⊕3E'
10 3 4 0 0 3A'⊕4E'
11 4 4 0 0 4A'⊕4E'
12 5 4 0 0 5A'⊕4E'
13 4 5 0 0 4A'⊕5E'
14 5 5 0 0 5A'⊕5E'
15 6 5 0 0 6A'⊕5E'
16 5 6 0 0 5A'⊕6E'
17 6 6 0 0 6A'⊕6E'
18 7 6 0 0 7A'⊕6E'
19 6 7 0 0 6A'⊕7E'
20 7 7 0 0 7A'⊕7E'


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