Results for Point Group C14h



Symmetric powers of degenerate representation E2g
Vibrational overtones


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


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 1 0 0 0 0 0 0 0 0 0 0 0 0 E2g
2 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 Ag⊕E4g
3 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 E2g⊕E6g
4 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 Ag⊕E4g⊕E6g
5 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 E2g⊕E4g⊕E6g
6 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 Ag⊕E2g⊕E4g⊕E6g
7 2 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 2Ag⊕E2g⊕E4g⊕E6g
8 1 0 0 2 0 1 0 1 0 0 0 0 0 0 0 0 Ag⊕2E2g⊕E4g⊕E6g
9 2 0 0 1 0 2 0 1 0 0 0 0 0 0 0 0 2Ag⊕E2g⊕2E4g⊕E6g
10 1 0 0 2 0 1 0 2 0 0 0 0 0 0 0 0 Ag⊕2E2g⊕E4g⊕2E6g
11 2 0 0 1 0 2 0 2 0 0 0 0 0 0 0 0 2Ag⊕E2g⊕2E4g⊕2E6g
12 1 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 Ag⊕2E2g⊕2E4g⊕2E6g
13 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2Ag⊕2E2g⊕2E4g⊕2E6g
14 3 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 3Ag⊕2E2g⊕2E4g⊕2E6g
15 2 0 0 3 0 2 0 2 0 0 0 0 0 0 0 0 2Ag⊕3E2g⊕2E4g⊕2E6g
16 3 0 0 2 0 3 0 2 0 0 0 0 0 0 0 0 3Ag⊕2E2g⊕3E4g⊕2E6g
17 2 0 0 3 0 2 0 3 0 0 0 0 0 0 0 0 2Ag⊕3E2g⊕2E4g⊕3E6g
18 3 0 0 2 0 3 0 3 0 0 0 0 0 0 0 0 3Ag⊕2E2g⊕3E4g⊕3E6g
19 2 0 0 3 0 3 0 3 0 0 0 0 0 0 0 0 2Ag⊕3E2g⊕3E4g⊕3E6g
20 3 0 0 3 0 3 0 3 0 0 0 0 0 0 0 0 3Ag⊕3E2g⊕3E4g⊕3E6g


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