Results for Point Group C18



Symmetric powers of degenerate representation E2
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C18 2C9 2C6 2(C9)2 2(C18)5 2C3 2(C18)7 2(C9)4 C2
1 2 1.532 0.347 -1 -1.879 -1.879 -1 0.347 1.532 2
2 3 1.347 -0.879 0 2.532 2.532 0 -0.879 1.347 3
3 4 0.532 -0.653 1 -2.879 -2.879 1 -0.653 0.532 4
4 5 -0.532 0.653 -1 2.879 2.879 -1 0.653 -0.532 5
5 6 -1.347 0.879 0 -2.532 -2.532 0 0.879 -1.347 6
6 7 -1.532 -0.347 1 1.879 1.879 1 -0.347 -1.532 7
7 8 -1.000 -1.000 -1 -1.000 -1.000 -1 -1.000 -1.000 8
8 9 -0.000 -0.000 0 -0.000 0.000 0 0.000 0.000 9
9 10 1.000 1.000 1 1.000 1.000 1 1.000 1.000 10
10 11 1.532 0.347 -1 -1.879 -1.879 -1 0.347 1.532 11
11 12 1.347 -0.879 0 2.532 2.532 0 -0.879 1.347 12
12 13 0.532 -0.653 1 -2.879 -2.879 1 -0.653 0.532 13
13 14 -0.532 0.653 -1 2.879 2.879 -1 0.653 -0.532 14
14 15 -1.347 0.879 0 -2.532 -2.532 0 0.879 -1.347 15
15 16 -1.532 -0.347 1 1.879 1.879 1 -0.347 -1.532 16
16 17 -1.000 -1.000 -1 -1.000 -1.000 -1 -1.000 -1.000 17
17 18 -0.000 -0.000 0 -0.000 0.000 0 0.000 0.000 18
18 19 1.000 1.000 1 1.000 1.000 1 1.000 1.000 19
19 20 1.532 0.347 -1 -1.879 -1.879 -1 0.347 1.532 20
20 21 1.347 -0.879 0 2.532 2.532 0 -0.879 1.347 21


Decomposition to irreducible representations
Power
To
A B E1* E2* E3* E4* E5* E6* E7* E8*
1 0 0 0 1 0 0 0 0 0 0 E2
2 1 0 0 0 0 1 0 0 0 0 A⊕E4
3 0 0 0 1 0 0 0 1 0 0 E2⊕E6
4 1 0 0 0 0 1 0 0 0 1 A⊕E4⊕E8
5 0 0 0 1 0 0 0 1 0 1 E2⊕E6⊕E8
6 1 0 0 0 0 1 0 1 0 1 A⊕E4⊕E6⊕E8
7 0 0 0 1 0 1 0 1 0 1 E2⊕E4⊕E6⊕E8
8 1 0 0 1 0 1 0 1 0 1 A⊕E2⊕E4⊕E6⊕E8
9 2 0 0 1 0 1 0 1 0 1 2A⊕E2⊕E4⊕E6⊕E8
10 1 0 0 2 0 1 0 1 0 1 A⊕2E2⊕E4⊕E6⊕E8
11 2 0 0 1 0 2 0 1 0 1 2A⊕E2⊕2E4⊕E6⊕E8
12 1 0 0 2 0 1 0 2 0 1 A⊕2E2⊕E4⊕2E6⊕E8
13 2 0 0 1 0 2 0 1 0 2 2A⊕E2⊕2E4⊕E6⊕2E8
14 1 0 0 2 0 1 0 2 0 2 A⊕2E2⊕E4⊕2E6⊕2E8
15 2 0 0 1 0 2 0 2 0 2 2A⊕E2⊕2E4⊕2E6⊕2E8
16 1 0 0 2 0 2 0 2 0 2 A⊕2E2⊕2E4⊕2E6⊕2E8
17 2 0 0 2 0 2 0 2 0 2 2A⊕2E2⊕2E4⊕2E6⊕2E8
18 3 0 0 2 0 2 0 2 0 2 3A⊕2E2⊕2E4⊕2E6⊕2E8
19 2 0 0 3 0 2 0 2 0 2 2A⊕3E2⊕2E4⊕2E6⊕2E8
20 3 0 0 2 0 3 0 2 0 2 3A⊕2E2⊕3E4⊕2E6⊕2E8



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