Results for Point Group C16



Symmetric powers of degenerate representation E2
Vibrational overtones


Characters of symmetric powers
Power
To		 E 2C16 2C8 2(C16)3 2C4 2(C16)5 2(C8)3 2(C16)7 C2
1 2 1.414 0.000 -1.414 -2 -1.414 0.000 1.414 2
2 3 1.000 -1.000 1.000 3 1.000 -1.000 1.000 3
3 4 0.000 0.000 0.000 -4 -0.000 0.000 -0.000 4
4 5 -1.000 1.000 -1.000 5 -1.000 1.000 -1.000 5
5 6 -1.414 0.000 1.414 -6 1.414 0.000 -1.414 6
6 7 -1.000 -1.000 -1.000 7 -1.000 -1.000 -1.000 7
7 8 -0.000 0.000 -0.000 -8 0.000 0.000 0.000 8
8 9 1.000 1.000 1.000 9 1.000 1.000 1.000 9
9 10 1.414 0.000 -1.414 -10 -1.414 0.000 1.414 10
10 11 1.000 -1.000 1.000 11 1.000 -1.000 1.000 11
11 12 0.000 0.000 0.000 -12 -0.000 0.000 -0.000 12
12 13 -1.000 1.000 -1.000 13 -1.000 1.000 -1.000 13
13 14 -1.414 0.000 1.414 -14 1.414 0.000 -1.414 14
14 15 -1.000 -1.000 -1.000 15 -1.000 -1.000 -1.000 15
15 16 -0.000 0.000 -0.000 -16 0.000 0.000 0.000 16
16 17 1.000 1.000 1.000 17 1.000 1.000 1.000 17
17 18 1.414 0.000 -1.414 -18 -1.414 0.000 1.414 18
18 19 1.000 -1.000 1.000 19 1.000 -1.000 1.000 19
19 20 0.000 0.000 0.000 -20 -0.000 0.000 -0.000 20
20 21 -1.000 1.000 -1.000 21 -1.000 1.000 -1.000 21


Decomposition to irreducible representations
Power
To		 A B E1* E2* E3* E4* E5* E6* E7*
1 0 0 0 1 0 0 0 0 0 E2
2 1 0 0 0 0 1 0 0 0 A⊕E4
3 0 0 0 1 0 0 0 1 0 E2⊕E6
4 1 2 0 0 0 1 0 0 0 A⊕2B⊕E4
5 0 0 0 1 0 0 0 2 0 E2⊕2E6
6 1 2 0 0 0 2 0 0 0 A⊕2B⊕2E4
7 0 0 0 2 0 0 0 2 0 2E2⊕2E6
8 3 2 0 0 0 2 0 0 0 3A⊕2B⊕2E4
9 0 0 0 3 0 0 0 2 0 3E2⊕2E6
10 3 2 0 0 0 3 0 0 0 3A⊕2B⊕3E4
11 0 0 0 3 0 0 0 3 0 3E2⊕3E6
12 3 4 0 0 0 3 0 0 0 3A⊕4B⊕3E4
13 0 0 0 3 0 0 0 4 0 3E2⊕4E6
14 3 4 0 0 0 4 0 0 0 3A⊕4B⊕4E4
15 0 0 0 4 0 0 0 4 0 4E2⊕4E6
16 5 4 0 0 0 4 0 0 0 5A⊕4B⊕4E4
17 0 0 0 5 0 0 0 4 0 5E2⊕4E6
18 5 4 0 0 0 5 0 0 0 5A⊕4B⊕5E4
19 0 0 0 5 0 0 0 5 0 5E2⊕5E6
20 5 6 0 0 0 5 0 0 0 5A⊕6B⊕5E4


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