Results for Point Group D3h



Symmetric powers of degenerate representation E'
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C3 3C'2 σh 2S3 v
1 2 -1 0 2 -1 0
2 3 0 1 3 0 1
3 4 1 0 4 1 0
4 5 -1 1 5 -1 1
5 6 0 0 6 0 0
6 7 1 1 7 1 1
7 8 -1 0 8 -1 0
8 9 0 1 9 0 1
9 10 1 0 10 1 0
10 11 -1 1 11 -1 1
11 12 0 0 12 0 0
12 13 1 1 13 1 1
13 14 -1 0 14 -1 0
14 15 0 1 15 0 1
15 16 1 0 16 1 0
16 17 -1 1 17 -1 1
17 18 0 0 18 0 0
18 19 1 1 19 1 1
19 20 -1 0 20 -1 0
20 21 0 1 21 0 1


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



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