Results for Point Group D14



Symmetric powers of degenerate representation E1
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 1 0 0 0 0 0 E1
2 1 0 0 0 0 1 0 0 0 0 A1⊕E2
3 0 0 0 0 1 0 1 0 0 0 E1⊕E3
4 1 0 0 0 0 1 0 1 0 0 A1⊕E2⊕E4
5 0 0 0 0 1 0 1 0 1 0 E1⊕E3⊕E5
6 1 0 0 0 0 1 0 1 0 1 A1⊕E2⊕E4⊕E6
7 0 0 1 1 1 0 1 0 1 0 B1⊕B2⊕E1⊕E3⊕E5
8 1 0 0 0 0 1 0 1 0 2 A1⊕E2⊕E4⊕2E6
9 0 0 1 1 1 0 1 0 2 0 B1⊕B2⊕E1⊕E3⊕2E5
10 1 0 0 0 0 1 0 2 0 2 A1⊕E2⊕2E4⊕2E6
11 0 0 1 1 1 0 2 0 2 0 B1⊕B2⊕E1⊕2E3⊕2E5
12 1 0 0 0 0 2 0 2 0 2 A1⊕2E2⊕2E4⊕2E6
13 0 0 1 1 2 0 2 0 2 0 B1⊕B2⊕2E1⊕2E3⊕2E5
14 2 1 0 0 0 2 0 2 0 2 2A1⊕A2⊕2E2⊕2E4⊕2E6
15 0 0 1 1 3 0 2 0 2 0 B1⊕B2⊕3E1⊕2E3⊕2E5
16 2 1 0 0 0 3 0 2 0 2 2A1⊕A2⊕3E2⊕2E4⊕2E6
17 0 0 1 1 3 0 3 0 2 0 B1⊕B2⊕3E1⊕3E3⊕2E5
18 2 1 0 0 0 3 0 3 0 2 2A1⊕A2⊕3E2⊕3E4⊕2E6
19 0 0 1 1 3 0 3 0 3 0 B1⊕B2⊕3E1⊕3E3⊕3E5
20 2 1 0 0 0 3 0 3 0 3 2A1⊕A2⊕3E2⊕3E4⊕3E6



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