Results for Point Group D14



Symmetric powers of degenerate representation E6
Vibrational overtones


Characters of symmetric powers
Power
To		 E 2C14 2C7 2(C14)3 2(C7)2 2(C14)5 2(C7)3 C2 7C'2 7C''2
1 2 -1.802 1.247 -0.445 -0.445 1.247 -1.802 2 0 0
2 3 2.247 0.555 -0.802 -0.802 0.555 2.247 3 1 1
3 4 -2.247 -0.555 0.802 0.802 -0.555 -2.247 4 0 0
4 5 1.802 -1.247 0.445 0.445 -1.247 1.802 5 1 1
5 6 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 6 0 0
6 7 -0.000 0.000 0.000 0.000 -0.000 0.000 7 1 1
7 8 1.000 1.000 1.000 1.000 1.000 1.000 8 0 0
8 9 -1.802 1.247 -0.445 -0.445 1.247 -1.802 9 1 1
9 10 2.247 0.555 -0.802 -0.802 0.555 2.247 10 0 0
10 11 -2.247 -0.555 0.802 0.802 -0.555 -2.247 11 1 1
11 12 1.802 -1.247 0.445 0.445 -1.247 1.802 12 0 0
12 13 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 13 1 1
13 14 -0.000 0.000 0.000 0.000 -0.000 0.000 14 0 0
14 15 1.000 1.000 1.000 1.000 1.000 1.000 15 1 1
15 16 -1.802 1.247 -0.445 -0.445 1.247 -1.802 16 0 0
16 17 2.247 0.555 -0.802 -0.802 0.555 2.247 17 1 1
17 18 -2.247 -0.555 0.802 0.802 -0.555 -2.247 18 0 0
18 19 1.802 -1.247 0.445 0.445 -1.247 1.802 19 1 1
19 20 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 20 0 0
20 21 -0.000 0.000 0.000 0.000 -0.000 0.000 21 1 1


Decomposition to irreducible representations
Power
To		 A1 A2 B1 B2 E1 E2 E3 E4 E5 E6
1 0 0 0 0 0 0 0 0 0 1 E6
2 1 0 0 0 0 1 0 0 0 0 A1⊕E2
3 0 0 0 0 0 0 0 1 0 1 E4⊕E6
4 1 0 0 0 0 1 0 1 0 0 A1⊕E2⊕E4
5 0 0 0 0 0 1 0 1 0 1 E2⊕E4⊕E6
6 1 0 0 0 0 1 0 1 0 1 A1⊕E2⊕E4⊕E6
7 1 1 0 0 0 1 0 1 0 1 A1⊕A2⊕E2⊕E4⊕E6
8 1 0 0 0 0 1 0 1 0 2 A1⊕E2⊕E4⊕2E6
9 1 1 0 0 0 2 0 1 0 1 A1⊕A2⊕2E2⊕E4⊕E6
10 1 0 0 0 0 1 0 2 0 2 A1⊕E2⊕2E4⊕2E6
11 1 1 0 0 0 2 0 2 0 1 A1⊕A2⊕2E2⊕2E4⊕E6
12 1 0 0 0 0 2 0 2 0 2 A1⊕2E2⊕2E4⊕2E6
13 1 1 0 0 0 2 0 2 0 2 A1⊕A2⊕2E2⊕2E4⊕2E6
14 2 1 0 0 0 2 0 2 0 2 2A1⊕A2⊕2E2⊕2E4⊕2E6
15 1 1 0 0 0 2 0 2 0 3 A1⊕A2⊕2E2⊕2E4⊕3E6
16 2 1 0 0 0 3 0 2 0 2 2A1⊕A2⊕3E2⊕2E4⊕2E6
17 1 1 0 0 0 2 0 3 0 3 A1⊕A2⊕2E2⊕3E4⊕3E6
18 2 1 0 0 0 3 0 3 0 2 2A1⊕A2⊕3E2⊕3E4⊕2E6
19 1 1 0 0 0 3 0 3 0 3 A1⊕A2⊕3E2⊕3E4⊕3E6
20 2 1 0 0 0 3 0 3 0 3 2A1⊕A2⊕3E2⊕3E4⊕3E6


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