Results for Point Group C18



Symmetric powers of degenerate representation E1
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 1.879 1.532 1 0.347 -0.347 -1 -1.532 -1.879 -2
2 3 2.532 1.347 0 -0.879 -0.879 0 1.347 2.532 3
3 4 2.879 0.532 -1 -0.653 0.653 1 -0.532 -2.879 -4
4 5 2.879 -0.532 -1 0.653 0.653 -1 -0.532 2.879 5
5 6 2.532 -1.347 0 0.879 -0.879 0 1.347 -2.532 -6
6 7 1.879 -1.532 1 -0.347 -0.347 1 -1.532 1.879 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 -1.879 1.532 -1 0.347 0.347 -1 1.532 -1.879 11
11 12 -2.532 1.347 0 -0.879 0.879 0 -1.347 2.532 -12
12 13 -2.879 0.532 1 -0.653 -0.653 1 0.532 -2.879 13
13 14 -2.879 -0.532 1 0.653 -0.653 -1 0.532 2.879 -14
14 15 -2.532 -1.347 0 0.879 0.879 0 -1.347 -2.532 15
15 16 -1.879 -1.532 -1 -0.347 0.347 1 1.532 1.879 -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 1.879 1.532 1 0.347 -0.347 -1 -1.532 -1.879 -20
20 21 2.532 1.347 0 -0.879 -0.879 0 1.347 2.532 21


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



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