Results for Point Group C10



Symmetric powers of degenerate representation E1
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C10 2C5 2(C10)3 2(C5)2 C2
1 2 1.618 0.618 -0.618 -1.618 -2
2 3 1.618 -0.618 -0.618 1.618 3
3 4 1.000 -1.000 1.000 -1.000 -4
4 5 0.000 -0.000 0.000 -0.000 5
5 6 -1.000 1.000 -1.000 1.000 -6
6 7 -1.618 0.618 0.618 -1.618 7
7 8 -1.618 -0.618 0.618 1.618 -8
8 9 -1.000 -1.000 -1.000 -1.000 9
9 10 -0.000 -0.000 -0.000 -0.000 -10
10 11 1.000 1.000 1.000 1.000 11
11 12 1.618 0.618 -0.618 -1.618 -12
12 13 1.618 -0.618 -0.618 1.618 13
13 14 1.000 -1.000 1.000 -1.000 -14
14 15 0.000 -0.000 0.000 -0.000 15
15 16 -1.000 1.000 -1.000 1.000 -16
16 17 -1.618 0.618 0.618 -1.618 17
17 18 -1.618 -0.618 0.618 1.618 -18
18 19 -1.000 -1.000 -1.000 -1.000 19
19 20 -0.000 -0.000 -0.000 -0.000 -20
20 21 1.000 1.000 1.000 1.000 21


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



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