Results for Point Group C13



Symmetric powers of degenerate representation E3
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C13 2(C13)2 2(C13)3 2(C13)4 2(C13)5 2(C13)6
1 2 0.241 -1.942 -0.709 1.771 1.136 -1.497
2 3 -0.942 2.771 -0.497 2.136 0.291 1.241
3 4 -0.468 -3.439 1.062 2.012 -0.806 -0.361
4 5 0.829 3.907 -0.256 1.427 -1.206 -0.701
5 6 0.668 -4.148 -0.880 0.515 -0.565 1.410
6 7 -0.668 4.148 0.880 -0.515 0.565 -1.410
7 8 -0.829 -3.907 0.256 -1.427 1.206 0.701
8 9 0.468 3.439 -1.062 -2.012 0.806 0.361
9 10 0.942 -2.771 0.497 -2.136 -0.291 -1.241
10 11 -0.241 1.942 0.709 -1.771 -1.136 1.497
11 12 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000
12 13 -0.000 -0.000 0.000 0.000 -0.000 -0.000
13 14 1.000 1.000 1.000 1.000 1.000 1.000
14 15 0.241 -1.942 -0.709 1.771 1.136 -1.497
15 16 -0.942 2.771 -0.497 2.136 0.291 1.241
16 17 -0.468 -3.439 1.062 2.012 -0.806 -0.361
17 18 0.829 3.907 -0.256 1.427 -1.206 -0.701
18 19 0.668 -4.148 -0.880 0.515 -0.565 1.410
19 20 -0.668 4.148 0.880 -0.515 0.565 -1.410
20 21 -0.829 -3.907 0.256 -1.427 1.206 0.701


Decomposition to irreducible representations
Power
To
A E1* E2* E3* E4* E5* E6*
1 0 0 0 1 0 0 0 E3
2 1 0 0 0 0 0 1 A⊕E6
3 0 0 0 1 1 0 0 E3⊕E4
4 1 1 0 0 0 0 1 A⊕E1⊕E6
5 0 0 1 1 1 0 0 E2⊕E3⊕E4
6 1 1 0 0 0 1 1 A⊕E1⊕E5⊕E6
7 0 0 1 1 1 1 0 E2⊕E3⊕E4⊕E5
8 1 1 1 0 0 1 1 A⊕E1⊕E2⊕E5⊕E6
9 0 1 1 1 1 1 0 E1⊕E2⊕E3⊕E4⊕E5
10 1 1 1 0 1 1 1 A⊕E1⊕E2⊕E4⊕E5⊕E6
11 0 1 1 1 1 1 1 E1⊕E2⊕E3⊕E4⊕E5⊕E6
12 1 1 1 1 1 1 1 A⊕E1⊕E2⊕E3⊕E4⊕E5⊕E6
13 2 1 1 1 1 1 1 2A⊕E1⊕E2⊕E3⊕E4⊕E5⊕E6
14 1 1 1 2 1 1 1 A⊕E1⊕E2⊕2E3⊕E4⊕E5⊕E6
15 2 1 1 1 1 1 2 2A⊕E1⊕E2⊕E3⊕E4⊕E5⊕2E6
16 1 1 1 2 2 1 1 A⊕E1⊕E2⊕2E3⊕2E4⊕E5⊕E6
17 2 2 1 1 1 1 2 2A⊕2E1⊕E2⊕E3⊕E4⊕E5⊕2E6
18 1 1 2 2 2 1 1 A⊕E1⊕2E2⊕2E3⊕2E4⊕E5⊕E6
19 2 2 1 1 1 2 2 2A⊕2E1⊕E2⊕E3⊕E4⊕2E5⊕2E6
20 1 1 2 2 2 2 1 A⊕E1⊕2E2⊕2E3⊕2E4⊕2E5⊕E6



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