Results for Point Group C7h



Symmetric powers of degenerate representation E'3
Vibrational overtones


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


Decomposition to irreducible representations
Power
To		 A' E'1* E'2* E'3* A'' E''1* E''2* E''3*
1 0 0 0 1 0 0 0 0 E'3
2 1 1 0 0 0 0 0 0 A'⊕E'1
3 0 0 1 1 0 0 0 0 E'2⊕E'3
4 1 1 1 0 0 0 0 0 A'⊕E'1⊕E'2
5 0 1 1 1 0 0 0 0 E'1⊕E'2⊕E'3
6 1 1 1 1 0 0 0 0 A'⊕E'1⊕E'2⊕E'3
7 2 1 1 1 0 0 0 0 2A'⊕E'1⊕E'2⊕E'3
8 1 1 1 2 0 0 0 0 A'⊕E'1⊕E'2⊕2E'3
9 2 2 1 1 0 0 0 0 2A'⊕2E'1⊕E'2⊕E'3
10 1 1 2 2 0 0 0 0 A'⊕E'1⊕2E'2⊕2E'3
11 2 2 2 1 0 0 0 0 2A'⊕2E'1⊕2E'2⊕E'3
12 1 2 2 2 0 0 0 0 A'⊕2E'1⊕2E'2⊕2E'3
13 2 2 2 2 0 0 0 0 2A'⊕2E'1⊕2E'2⊕2E'3
14 3 2 2 2 0 0 0 0 3A'⊕2E'1⊕2E'2⊕2E'3
15 2 2 2 3 0 0 0 0 2A'⊕2E'1⊕2E'2⊕3E'3
16 3 3 2 2 0 0 0 0 3A'⊕3E'1⊕2E'2⊕2E'3
17 2 2 3 3 0 0 0 0 2A'⊕2E'1⊕3E'2⊕3E'3
18 3 3 3 2 0 0 0 0 3A'⊕3E'1⊕3E'2⊕2E'3
19 2 3 3 3 0 0 0 0 2A'⊕3E'1⊕3E'2⊕3E'3
20 3 3 3 3 0 0 0 0 3A'⊕3E'1⊕3E'2⊕3E'3


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