Results for Point Group I



Symmetric powers of degenerate representation H
Vibrational overtones


Characters of symmetric powers
Power
To
E 12C5 12(C5)2 20C3 15C2
1 5 0.000 0.000 -1 1
2 15 0.000 0.000 0 3
3 35 0.000 0.000 2 3
4 70 0.000 0.000 -2 6
5 126 1.000 1.000 0 6
6 210 0.000 0.000 3 10
7 330 0.000 0.000 -3 10
8 495 0.000 0.000 0 15
9 715 0.000 0.000 4 15
10 1.001 1.000 1.000 -4 21
11 1.365 0.000 0.000 0 21
12 1.820 0.000 0.000 5 28
13 2.380 0.000 0.000 -5 28
14 3.060 0.000 0.000 0 36
15 3.876 1.000 1.000 6 36
16 4.845 0.000 0.000 -6 45
17 5.985 0.000 0.000 0 45
18 7.315 0.000 0.000 7 55
19 8.855 0.000 0.000 -7 55
20 10.626 1.000 1.000 0 66


Decomposition to irreducible representations
Power
To
A T1 T2 G H
1 0 0 0 0 1 H
2 1 0 0 1 2 A⊕G⊕2H
3 2 1 1 3 3 2A⊕T1⊕T2⊕3G⊕3H
4 2 2 2 4 8 2A⊕2T1⊕2T2⊕4G⊕8H
5 4 5 5 8 12 4A⊕5T1⊕5T2⊕8G⊕12H
6 7 8 8 15 19 7A⊕8T1⊕8T2⊕15G⊕19H
7 7 14 14 21 31 7A⊕14T1⊕14T2⊕21G⊕31H
8 12 21 21 33 45 12A⊕21T1⊕21T2⊕33G⊕45H
9 17 32 32 49 62 17A⊕32T1⊕32T2⊕49G⊕62H
10 21 45 45 65 90 21A⊕45T1⊕45T2⊕65G⊕90H
11 28 63 63 91 119 28A⊕63T1⊕63T2⊕91G⊕119H
12 39 84 84 123 157 39A⊕84T1⊕84T2⊕123G⊕157H
13 45 112 112 157 207 45A⊕112T1⊕112T2⊕157G⊕207H
14 60 144 144 204 264 60A⊕144T1⊕144T2⊕204G⊕264H
15 76 185 185 260 330 76A⊕185T1⊕185T2⊕260G⊕330H
16 90 231 231 321 417 90A⊕231T1⊕231T2⊕321G⊕417H
17 111 288 288 399 510 111A⊕288T1⊕288T2⊕399G⊕510H
18 138 352 352 490 621 138A⊕352T1⊕352T2⊕490G⊕621H
19 159 429 429 588 754 159A⊕429T1⊕429T2⊕588G⊕754H
20 194 515 515 708 902 194A⊕515T1⊕515T2⊕708G⊕902H



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