Results for Point Group C5



Symmetric powers of degenerate representation E1
Vibrational overtones


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


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


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