Results for Point Group C14h



Symmetric powers of degenerate representation E5g
Vibrational overtones


Characters of symmetric powers
Power
To
E C14 C7 (C14)3 (C7)2 (C14)5 (C7)3 C2 (C7)4 (C14)9 (C7)5 (C14)11 (C7)6 (C14)13 i (S7)11 (S14)9 (S7)5 (S14)11 (S7)13 (S14)13 σh S14 S7 (S14)3 (S7)9 (S14)5 (S7)3
1 2 -1.247 -0.445 1.802 -1.802 0.445 1.247 -2 1.247 0.445 -1.802 1.802 -0.445 -1.247 2 -1.247 -0.445 1.802 -1.802 0.445 1.247 -2 1.247 0.445 -1.802 1.802 -0.445 -1.247
2 3 0.555 -0.802 2.247 2.247 -0.802 0.555 3 0.555 -0.802 2.247 2.247 -0.802 0.555 3 0.555 -0.802 2.247 2.247 -0.802 0.555 3 0.555 -0.802 2.247 2.247 -0.802 0.555
3 4 0.555 0.802 2.247 -2.247 -0.802 -0.555 -4 -0.555 -0.802 -2.247 2.247 0.802 0.555 4 0.555 0.802 2.247 -2.247 -0.802 -0.555 -4 -0.555 -0.802 -2.247 2.247 0.802 0.555
4 5 -1.247 0.445 1.802 1.802 0.445 -1.247 5 -1.247 0.445 1.802 1.802 0.445 -1.247 5 -1.247 0.445 1.802 1.802 0.445 -1.247 5 -1.247 0.445 1.802 1.802 0.445 -1.247
5 6 1.000 -1.000 1.000 -1.000 1.000 -1.000 -6 -1.000 1.000 -1.000 1.000 -1.000 1.000 6 1.000 -1.000 1.000 -1.000 1.000 -1.000 -6 -1.000 1.000 -1.000 1.000 -1.000 1.000
6 7 0.000 0.000 0.000 -0.000 -0.000 -0.000 7 0.000 0.000 0.000 -0.000 -0.000 -0.000 7 0.000 0.000 0.000 -0.000 0.000 -0.000 7 0.000 0.000 0.000 -0.000 -0.000 -0.000
7 8 -1.000 1.000 -1.000 1.000 -1.000 1.000 -8 1.000 -1.000 1.000 -1.000 1.000 -1.000 8 -1.000 1.000 -1.000 1.000 -1.000 1.000 -8 1.000 -1.000 1.000 -1.000 1.000 -1.000
8 9 1.247 -0.445 -1.802 -1.802 -0.445 1.247 9 1.247 -0.445 -1.802 -1.802 -0.445 1.247 9 1.247 -0.445 -1.802 -1.802 -0.445 1.247 9 1.247 -0.445 -1.802 -1.802 -0.445 1.247
9 10 -0.555 -0.802 -2.247 2.247 0.802 0.555 -10 0.555 0.802 2.247 -2.247 -0.802 -0.555 10 -0.555 -0.802 -2.247 2.247 0.802 0.555 -10 0.555 0.802 2.247 -2.247 -0.802 -0.555
10 11 -0.555 0.802 -2.247 -2.247 0.802 -0.555 11 -0.555 0.802 -2.247 -2.247 0.802 -0.555 11 -0.555 0.802 -2.247 -2.247 0.802 -0.555 11 -0.555 0.802 -2.247 -2.247 0.802 -0.555
11 12 1.247 0.445 -1.802 1.802 -0.445 -1.247 -12 -1.247 -0.445 1.802 -1.802 0.445 1.247 12 1.247 0.445 -1.802 1.802 -0.445 -1.247 -12 -1.247 -0.445 1.802 -1.802 0.445 1.247
12 13 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 13 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 13 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 13 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000
13 14 -0.000 0.000 -0.000 -0.000 0.000 -0.000 -14 0.000 -0.000 0.000 0.000 -0.000 0.000 14 -0.000 0.000 -0.000 -0.000 0.000 -0.000 -14 0.000 -0.000 0.000 0.000 -0.000 0.000
14 15 1.000 1.000 1.000 1.000 1.000 1.000 15 1.000 1.000 1.000 1.000 1.000 1.000 15 1.000 1.000 1.000 1.000 1.000 1.000 15 1.000 1.000 1.000 1.000 1.000 1.000
15 16 -1.247 -0.445 1.802 -1.802 0.445 1.247 -16 1.247 0.445 -1.802 1.802 -0.445 -1.247 16 -1.247 -0.445 1.802 -1.802 0.445 1.247 -16 1.247 0.445 -1.802 1.802 -0.445 -1.247
16 17 0.555 -0.802 2.247 2.247 -0.802 0.555 17 0.555 -0.802 2.247 2.247 -0.802 0.555 17 0.555 -0.802 2.247 2.247 -0.802 0.555 17 0.555 -0.802 2.247 2.247 -0.802 0.555
17 18 0.555 0.802 2.247 -2.247 -0.802 -0.555 -18 -0.555 -0.802 -2.247 2.247 0.802 0.555 18 0.555 0.802 2.247 -2.247 -0.802 -0.555 -18 -0.555 -0.802 -2.247 2.247 0.802 0.555
18 19 -1.247 0.445 1.802 1.802 0.445 -1.247 19 -1.247 0.445 1.802 1.802 0.445 -1.247 19 -1.247 0.445 1.802 1.802 0.445 -1.247 19 -1.247 0.445 1.802 1.802 0.445 -1.247
19 20 1.000 -1.000 1.000 -1.000 1.000 -1.000 -20 -1.000 1.000 -1.000 1.000 -1.000 1.000 20 1.000 -1.000 1.000 -1.000 1.000 -1.000 -20 -1.000 1.000 -1.000 1.000 -1.000 1.000
20 21 0.000 0.000 0.000 -0.000 -0.000 -0.000 21 0.000 0.000 0.000 -0.000 -0.000 -0.000 21 0.000 0.000 0.000 -0.000 -0.000 -0.000 21 0.000 0.000 0.000 -0.000 -0.000 -0.000


Decomposition to irreducible representations
Power
To
Ag Bg E1g* E2g* E3g* E4g* E5g* E6g* Au Bu E1u* E2u* E3u* E4u* E5u* E6u*
1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 E5g
2 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 Ag⊕E4g
3 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 E1g⊕E5g
4 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 Ag⊕E4g⊕E6g
5 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 E1g⊕E3g⊕E5g
6 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 Ag⊕E2g⊕E4g⊕E6g
7 0 2 1 0 1 0 1 0 0 0 0 0 0 0 0 0 2Bg⊕E1g⊕E3g⊕E5g
8 1 0 0 2 0 1 0 1 0 0 0 0 0 0 0 0 Ag⊕2E2g⊕E4g⊕E6g
9 0 2 1 0 2 0 1 0 0 0 0 0 0 0 0 0 2Bg⊕E1g⊕2E3g⊕E5g
10 1 0 0 2 0 1 0 2 0 0 0 0 0 0 0 0 Ag⊕2E2g⊕E4g⊕2E6g
11 0 2 2 0 2 0 1 0 0 0 0 0 0 0 0 0 2Bg⊕2E1g⊕2E3g⊕E5g
12 1 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 Ag⊕2E2g⊕2E4g⊕2E6g
13 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2Bg⊕2E1g⊕2E3g⊕2E5g
14 3 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 3Ag⊕2E2g⊕2E4g⊕2E6g
15 0 2 2 0 2 0 3 0 0 0 0 0 0 0 0 0 2Bg⊕2E1g⊕2E3g⊕3E5g
16 3 0 0 2 0 3 0 2 0 0 0 0 0 0 0 0 3Ag⊕2E2g⊕3E4g⊕2E6g
17 0 2 3 0 2 0 3 0 0 0 0 0 0 0 0 0 2Bg⊕3E1g⊕2E3g⊕3E5g
18 3 0 0 2 0 3 0 3 0 0 0 0 0 0 0 0 3Ag⊕2E2g⊕3E4g⊕3E6g
19 0 2 3 0 3 0 3 0 0 0 0 0 0 0 0 0 2Bg⊕3E1g⊕3E3g⊕3E5g
20 3 0 0 3 0 3 0 3 0 0 0 0 0 0 0 0 3Ag⊕3E2g⊕3E4g⊕3E6g



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