Results for Point Group C14



Symmetric powers of degenerate representation E4
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
1 2 -0.445 -1.802 1.247 1.247 -1.802 -0.445 2 -0.445 -1.802 1.247 1.247 -1.802 -0.445
2 3 -0.802 2.247 0.555 0.555 2.247 -0.802 3 -0.802 2.247 0.555 0.555 2.247 -0.802
3 4 0.802 -2.247 -0.555 -0.555 -2.247 0.802 4 0.802 -2.247 -0.555 -0.555 -2.247 0.802
4 5 0.445 1.802 -1.247 -1.247 1.802 0.445 5 0.445 1.802 -1.247 -1.247 1.802 0.445
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 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 9 -0.445 -1.802 1.247 1.247 -1.802 -0.445 9 -0.445 -1.802 1.247 1.247 -1.802 -0.445
9 10 -0.802 2.247 0.555 0.555 2.247 -0.802 10 -0.802 2.247 0.555 0.555 2.247 -0.802
10 11 0.802 -2.247 -0.555 -0.555 -2.247 0.802 11 0.802 -2.247 -0.555 -0.555 -2.247 0.802
11 12 0.445 1.802 -1.247 -1.247 1.802 0.445 12 0.445 1.802 -1.247 -1.247 1.802 0.445
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 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 16 -0.445 -1.802 1.247 1.247 -1.802 -0.445 16 -0.445 -1.802 1.247 1.247 -1.802 -0.445
16 17 -0.802 2.247 0.555 0.555 2.247 -0.802 17 -0.802 2.247 0.555 0.555 2.247 -0.802
17 18 0.802 -2.247 -0.555 -0.555 -2.247 0.802 18 0.802 -2.247 -0.555 -0.555 -2.247 0.802
18 19 0.445 1.802 -1.247 -1.247 1.802 0.445 19 0.445 1.802 -1.247 -1.247 1.802 0.445
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 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		 A B E1* E2* E3* E4* E5* E6*
1 0 0 0 0 0 1 0 0 E4
2 1 0 0 0 0 0 0 1 A⊕E6
3 0 0 0 1 0 1 0 0 E2⊕E4
4 1 0 0 1 0 0 0 1 A⊕E2⊕E6
5 0 0 0 1 0 1 0 1 E2⊕E4⊕E6
6 1 0 0 1 0 1 0 1 A⊕E2⊕E4⊕E6
7 2 0 0 1 0 1 0 1 2A⊕E2⊕E4⊕E6
8 1 0 0 1 0 2 0 1 A⊕E2⊕2E4⊕E6
9 2 0 0 1 0 1 0 2 2A⊕E2⊕E4⊕2E6
10 1 0 0 2 0 2 0 1 A⊕2E2⊕2E4⊕E6
11 2 0 0 2 0 1 0 2 2A⊕2E2⊕E4⊕2E6
12 1 0 0 2 0 2 0 2 A⊕2E2⊕2E4⊕2E6
13 2 0 0 2 0 2 0 2 2A⊕2E2⊕2E4⊕2E6
14 3 0 0 2 0 2 0 2 3A⊕2E2⊕2E4⊕2E6
15 2 0 0 2 0 3 0 2 2A⊕2E2⊕3E4⊕2E6
16 3 0 0 2 0 2 0 3 3A⊕2E2⊕2E4⊕3E6
17 2 0 0 3 0 3 0 2 2A⊕3E2⊕3E4⊕2E6
18 3 0 0 3 0 2 0 3 3A⊕3E2⊕2E4⊕3E6
19 2 0 0 3 0 3 0 3 2A⊕3E2⊕3E4⊕3E6
20 3 0 0 3 0 3 0 3 3A⊕3E2⊕3E4⊕3E6


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