Results for Point Group Td



Symmetric powers of degenerate representation E
Vibrational overtones


Characters of symmetric powers
Power
To
E 8C3 3C2 6S4 d
1 2 -1 2 0 0
2 3 0 3 1 1
3 4 1 4 0 0
4 5 -1 5 1 1
5 6 0 6 0 0
6 7 1 7 1 1
7 8 -1 8 0 0
8 9 0 9 1 1
9 10 1 10 0 0
10 11 -1 11 1 1
11 12 0 12 0 0
12 13 1 13 1 1
13 14 -1 14 0 0
14 15 0 15 1 1
15 16 1 16 0 0
16 17 -1 17 1 1
17 18 0 18 0 0
18 19 1 19 1 1
19 20 -1 20 0 0
20 21 0 21 1 1


Decomposition to irreducible representations
Power
To
A1 A2 E T1 T2
1 0 0 1 0 0 E
2 1 0 1 0 0 A1⊕E
3 1 1 1 0 0 A1⊕A2⊕E
4 1 0 2 0 0 A1⊕2E
5 1 1 2 0 0 A1⊕A2⊕2E
6 2 1 2 0 0 2A1⊕A2⊕2E
7 1 1 3 0 0 A1⊕A2⊕3E
8 2 1 3 0 0 2A1⊕A2⊕3E
9 2 2 3 0 0 2A1⊕2A2⊕3E
10 2 1 4 0 0 2A1⊕A2⊕4E
11 2 2 4 0 0 2A1⊕2A2⊕4E
12 3 2 4 0 0 3A1⊕2A2⊕4E
13 2 2 5 0 0 2A1⊕2A2⊕5E
14 3 2 5 0 0 3A1⊕2A2⊕5E
15 3 3 5 0 0 3A1⊕3A2⊕5E
16 3 2 6 0 0 3A1⊕2A2⊕6E
17 3 3 6 0 0 3A1⊕3A2⊕6E
18 4 3 6 0 0 4A1⊕3A2⊕6E
19 3 3 7 0 0 3A1⊕3A2⊕7E
20 4 3 7 0 0 4A1⊕3A2⊕7E



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