Results for Point Group C18v



Symmetric powers of degenerate representation E5
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 v d
1 2 -0.347 -1.879 1 1.532 -1.532 -1 1.879 0.347 -2 0 0
2 3 -0.879 2.532 0 1.347 1.347 0 2.532 -0.879 3 1 1
3 4 0.653 -2.879 -1 0.532 -0.532 1 2.879 -0.653 -4 0 0
4 5 0.653 2.879 -1 -0.532 -0.532 -1 2.879 0.653 5 1 1
5 6 -0.879 -2.532 0 -1.347 1.347 0 2.532 0.879 -6 0 0
6 7 -0.347 1.879 1 -1.532 -1.532 1 1.879 -0.347 7 1 1
7 8 1.000 -1.000 1 -1.000 1.000 -1 1.000 -1.000 -8 0 0
8 9 0.000 0.000 0 -0.000 -0.000 0 0.000 -0.000 9 1 1
9 10 -1.000 1.000 -1 1.000 -1.000 1 -1.000 1.000 -10 0 0
10 11 0.347 -1.879 -1 1.532 1.532 -1 -1.879 0.347 11 1 1
11 12 0.879 2.532 0 1.347 -1.347 0 -2.532 -0.879 -12 0 0
12 13 -0.653 -2.879 1 0.532 0.532 1 -2.879 -0.653 13 1 1
13 14 -0.653 2.879 1 -0.532 0.532 -1 -2.879 0.653 -14 0 0
14 15 0.879 -2.532 0 -1.347 -1.347 0 -2.532 0.879 15 1 1
15 16 0.347 1.879 -1 -1.532 1.532 1 -1.879 -0.347 -16 0 0
16 17 -1.000 -1.000 -1 -1.000 -1.000 -1 -1.000 -1.000 17 1 1
17 18 -0.000 0.000 0 -0.000 0.000 0 -0.000 -0.000 -18 0 0
18 19 1.000 1.000 1 1.000 1.000 1 1.000 1.000 19 1 1
19 20 -0.347 -1.879 1 1.532 -1.532 -1 1.879 0.347 -20 0 0
20 21 -0.879 2.532 0 1.347 1.347 0 2.532 -0.879 21 1 1


Decomposition to irreducible representations
Power
To
A1 A2 B1 B2 E1 E2 E3 E4 E5 E6 E7 E8
1 0 0 0 0 0 0 0 0 1 0 0 0 E5
2 1 0 0 0 0 0 0 0 0 0 0 1 A1⊕E8
3 0 0 0 0 0 0 1 0 1 0 0 0 E3⊕E5
4 1 0 0 0 0 1 0 0 0 0 0 1 A1⊕E2⊕E8
5 0 0 0 0 0 0 1 0 1 0 1 0 E3⊕E5⊕E7
6 1 0 0 0 0 1 0 0 0 1 0 1 A1⊕E2⊕E6⊕E8
7 0 0 0 0 1 0 1 0 1 0 1 0 E1⊕E3⊕E5⊕E7
8 1 0 0 0 0 1 0 1 0 1 0 1 A1⊕E2⊕E4⊕E6⊕E8
9 0 0 1 1 1 0 1 0 1 0 1 0 B1⊕B2⊕E1⊕E3⊕E5⊕E7
10 1 0 0 0 0 1 0 2 0 1 0 1 A1⊕E2⊕2E4⊕E6⊕E8
11 0 0 1 1 2 0 1 0 1 0 1 0 B1⊕B2⊕2E1⊕E3⊕E5⊕E7
12 1 0 0 0 0 1 0 2 0 2 0 1 A1⊕E2⊕2E4⊕2E6⊕E8
13 0 0 1 1 2 0 1 0 1 0 2 0 B1⊕B2⊕2E1⊕E3⊕E5⊕2E7
14 1 0 0 0 0 2 0 2 0 2 0 1 A1⊕2E2⊕2E4⊕2E6⊕E8
15 0 0 1 1 2 0 2 0 1 0 2 0 B1⊕B2⊕2E1⊕2E3⊕E5⊕2E7
16 1 0 0 0 0 2 0 2 0 2 0 2 A1⊕2E2⊕2E4⊕2E6⊕2E8
17 0 0 1 1 2 0 2 0 2 0 2 0 B1⊕B2⊕2E1⊕2E3⊕2E5⊕2E7
18 2 1 0 0 0 2 0 2 0 2 0 2 2A1⊕A2⊕2E2⊕2E4⊕2E6⊕2E8
19 0 0 1 1 2 0 2 0 3 0 2 0 B1⊕B2⊕2E1⊕2E3⊕3E5⊕2E7
20 2 1 0 0 0 2 0 2 0 2 0 3 2A1⊕A2⊕2E2⊕2E4⊕2E6⊕3E8



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