Results for Point Group C7



Symmetric powers of degenerate representation E2
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C7 2(C7)2 2(C7)3
1 2 -0.445 -1.802 1.247
2 3 -0.802 2.247 0.555
3 4 0.802 -2.247 -0.555
4 5 0.445 1.802 -1.247
5 6 -1.000 -1.000 -1.000
6 7 -0.000 0.000 0.000
7 8 1.000 1.000 1.000
8 9 -0.445 -1.802 1.247
9 10 -0.802 2.247 0.555
10 11 0.802 -2.247 -0.555
11 12 0.445 1.802 -1.247
12 13 -1.000 -1.000 -1.000
13 14 -0.000 0.000 0.000
14 15 1.000 1.000 1.000
15 16 -0.445 -1.802 1.247
16 17 -0.802 2.247 0.555
17 18 0.802 -2.247 -0.555
18 19 0.445 1.802 -1.247
19 20 -1.000 -1.000 -1.000
20 21 -0.000 0.000 0.000


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



Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement