Results for Point Group I



Symmetric powers of degenerate representation G
Vibrational overtones


Characters of symmetric powers
Power
To
E 12C5 12(C5)2 20C3 15C2
1 4 -1.000 -1.000 1 0
2 10 0.000 0.000 1 2
3 20 0.000 0.000 2 0
4 35 0.000 0.000 2 3
5 56 1.000 1.000 2 0
6 84 -1.000 -1.000 3 4
7 120 0.000 0.000 3 0
8 165 0.000 0.000 3 5
9 220 0.000 0.000 4 0
10 286 1.000 1.000 4 6
11 364 -1.000 -1.000 4 0
12 455 0.000 0.000 5 7
13 560 0.000 0.000 5 0
14 680 0.000 0.000 5 8
15 816 1.000 1.000 6 0
16 969 -1.000 -1.000 6 9
17 1.140 0.000 0.000 6 0
18 1.330 0.000 0.000 7 10
19 1.540 0.000 0.000 7 0
20 1.771 1.000 1.000 7 11


Decomposition to irreducible representations
Power
To
A T1 T2 G H
1 0 0 0 1 0 G
2 1 0 0 1 1 A⊕G⊕H
3 1 1 1 2 1 A⊕T1⊕T2⊕2G⊕H
4 2 1 1 3 3 2A⊕T1⊕T2⊕3G⊕3H
5 2 3 3 4 4 2A⊕3T1⊕3T2⊕4G⊕4H
6 3 3 3 7 7 3A⊕3T1⊕3T2⊕7G⊕7H
7 3 6 6 9 9 3A⊕6T1⊕6T2⊕9G⊕9H
8 5 7 7 12 14 5A⊕7T1⊕7T2⊕12G⊕14H
9 5 11 11 16 17 5A⊕11T1⊕11T2⊕16G⊕17H
10 8 13 13 20 24 8A⊕13T1⊕13T2⊕20G⊕24H
11 7 18 18 26 29 7A⊕18T1⊕18T2⊕26G⊕29H
12 11 21 21 32 38 11A⊕21T1⊕21T2⊕32G⊕38H
13 11 28 28 39 45 11A⊕28T1⊕28T2⊕39G⊕45H
14 15 32 32 47 57 15A⊕32T1⊕32T2⊕47G⊕57H
15 16 41 41 56 66 16A⊕41T1⊕41T2⊕56G⊕66H
16 20 46 46 67 81 20A⊕46T1⊕46T2⊕67G⊕81H
17 21 57 57 78 93 21A⊕57T1⊕57T2⊕78G⊕93H
18 27 64 64 91 111 27A⊕64T1⊕64T2⊕91G⊕111H
19 28 77 77 105 126 28A⊕77T1⊕77T2⊕105G⊕126H
20 35 86 86 120 148 35A⊕86T1⊕86T2⊕120G⊕148H



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