Results for Point Group C7



Symmetric powers of degenerate representation E3
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C7 2(C7)2 2(C7)3
1 2 -1.802 1.247 -0.445
2 3 2.247 0.555 -0.802
3 4 -2.247 -0.555 0.802
4 5 1.802 -1.247 0.445
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 -1.802 1.247 -0.445
9 10 2.247 0.555 -0.802
10 11 -2.247 -0.555 0.802
11 12 1.802 -1.247 0.445
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 -1.802 1.247 -0.445
16 17 2.247 0.555 -0.802
17 18 -2.247 -0.555 0.802
18 19 1.802 -1.247 0.445
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 0 1 E3
2 1 1 0 0 A⊕E1
3 0 0 1 1 E2⊕E3
4 1 1 1 0 A⊕E1⊕E2
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 1 2 A⊕E1⊕E2⊕2E3
9 2 2 1 1 2A⊕2E1⊕E2⊕E3
10 1 1 2 2 A⊕E1⊕2E2⊕2E3
11 2 2 2 1 2A⊕2E1⊕2E2⊕E3
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 2 3 2A⊕2E1⊕2E2⊕3E3
16 3 3 2 2 3A⊕3E1⊕2E2⊕2E3
17 2 2 3 3 2A⊕2E1⊕3E2⊕3E3
18 3 3 3 2 3A⊕3E1⊕3E2⊕2E3
19 2 3 3 3 2A⊕3E1⊕3E2⊕3E3
20 3 3 3 3 3A⊕3E1⊕3E2⊕3E3



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