Results for Point Group T



Symmetric powers of degenerate representation T
Vibrational overtones


Characters of symmetric powers
Power
To
E 8C3 3C2
1 3 0 -1
2 6 0 2
3 10 1 -2
4 15 0 3
5 21 0 -3
6 28 1 4
7 36 0 -4
8 45 0 5
9 55 1 -5
10 66 0 6
11 78 0 -6
12 91 1 7
13 105 0 -7
14 120 0 8
15 136 1 -8
16 153 0 9
17 171 0 -9
18 190 1 10
19 210 0 -10
20 231 0 11


Decomposition to irreducible representations
Power
To
A E* T
1 0 0 1 T
2 1 1 1 A⊕E⊕T
3 1 0 3 A⊕3T
4 2 2 3 2A⊕2E⊕3T
5 1 1 6 A⊕E⊕6T
6 4 3 6 4A⊕3E⊕6T
7 2 2 10 2A⊕2E⊕10T
8 5 5 10 5A⊕5E⊕10T
9 4 3 15 4A⊕3E⊕15T
10 7 7 15 7A⊕7E⊕15T
11 5 5 21 5A⊕5E⊕21T
12 10 9 21 10A⊕9E⊕21T
13 7 7 28 7A⊕7E⊕28T
14 12 12 28 12A⊕12E⊕28T
15 10 9 36 10A⊕9E⊕36T
16 15 15 36 15A⊕15E⊕36T
17 12 12 45 12A⊕12E⊕45T
18 19 18 45 19A⊕18E⊕45T
19 15 15 55 15A⊕15E⊕55T
20 22 22 55 22A⊕22E⊕55T



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