Results for Point Group D5



Symmetric powers of degenerate representation E1
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C5 2(C5)2 5C'2
1 2 0.618 -1.618 0
2 3 -0.618 1.618 1
3 4 -1.000 -1.000 0
4 5 -0.000 -0.000 1
5 6 1.000 1.000 0
6 7 0.618 -1.618 1
7 8 -0.618 1.618 0
8 9 -1.000 -1.000 1
9 10 -0.000 -0.000 0
10 11 1.000 1.000 1
11 12 0.618 -1.618 0
12 13 -0.618 1.618 1
13 14 -1.000 -1.000 0
14 15 -0.000 -0.000 1
15 16 1.000 1.000 0
16 17 0.618 -1.618 1
17 18 -0.618 1.618 0
18 19 -1.000 -1.000 1
19 20 -0.000 -0.000 0
20 21 1.000 1.000 1


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



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