Results for Point Group D6



Symmetric powers of degenerate representation E1
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C6 2C3 C2 3C'2 3C''2
1 2 1 -1 -2 0 0
2 3 0 0 3 1 1
3 4 -1 1 -4 0 0
4 5 -1 -1 5 1 1
5 6 0 0 -6 0 0
6 7 1 1 7 1 1
7 8 1 -1 -8 0 0
8 9 0 0 9 1 1
9 10 -1 1 -10 0 0
10 11 -1 -1 11 1 1
11 12 0 0 -12 0 0
12 13 1 1 13 1 1
13 14 1 -1 -14 0 0
14 15 0 0 15 1 1
15 16 -1 1 -16 0 0
16 17 -1 -1 17 1 1
17 18 0 0 -18 0 0
18 19 1 1 19 1 1
19 20 1 -1 -20 0 0
20 21 0 0 21 1 1


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



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