Results for Point Group D3



Symmetric powers of degenerate representation E
Vibrational overtones


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


Decomposition to irreducible representations
Power
To
A1 A2 E
1 0 0 1 E
2 1 0 1 A1⊕E
3 1 1 1 A1⊕A2⊕E
4 1 0 2 A1⊕2E
5 1 1 2 A1⊕A2⊕2E
6 2 1 2 2A1⊕A2⊕2E
7 1 1 3 A1⊕A2⊕3E
8 2 1 3 2A1⊕A2⊕3E
9 2 2 3 2A1⊕2A2⊕3E
10 2 1 4 2A1⊕A2⊕4E
11 2 2 4 2A1⊕2A2⊕4E
12 3 2 4 3A1⊕2A2⊕4E
13 2 2 5 2A1⊕2A2⊕5E
14 3 2 5 3A1⊕2A2⊕5E
15 3 3 5 3A1⊕3A2⊕5E
16 3 2 6 3A1⊕2A2⊕6E
17 3 3 6 3A1⊕3A2⊕6E
18 4 3 6 4A1⊕3A2⊕6E
19 3 3 7 3A1⊕3A2⊕7E
20 4 3 7 4A1⊕3A2⊕7E



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