Results for Point Group C10v



Symmetric powers of degenerate representation E2
Vibrational overtones


Characters of symmetric powers
Power
To		 E 2C10 2C5 2(C10)3 2(C5)2 C2 5σv 5σd
1 2 0.618 -1.618 -1.618 0.618 2 0 0
2 3 -0.618 1.618 1.618 -0.618 3 1 1
3 4 -1.000 -1.000 -1.000 -1.000 4 0 0
4 5 -0.000 -0.000 0.000 0.000 5 1 1
5 6 1.000 1.000 1.000 1.000 6 0 0
6 7 0.618 -1.618 -1.618 0.618 7 1 1
7 8 -0.618 1.618 1.618 -0.618 8 0 0
8 9 -1.000 -1.000 -1.000 -1.000 9 1 1
9 10 -0.000 -0.000 0.000 0.000 10 0 0
10 11 1.000 1.000 1.000 1.000 11 1 1
11 12 0.618 -1.618 -1.618 0.618 12 0 0
12 13 -0.618 1.618 1.618 -0.618 13 1 1
13 14 -1.000 -1.000 -1.000 -1.000 14 0 0
14 15 -0.000 -0.000 0.000 0.000 15 1 1
15 16 1.000 1.000 1.000 1.000 16 0 0
16 17 0.618 -1.618 -1.618 0.618 17 1 1
17 18 -0.618 1.618 1.618 -0.618 18 0 0
18 19 -1.000 -1.000 -1.000 -1.000 19 1 1
19 20 -0.000 -0.000 0.000 0.000 20 0 0
20 21 1.000 1.000 1.000 1.000 21 1 1


Decomposition to irreducible representations
Power
To		 A1 A2 B1 B2 E1 E2 E3 E4
1 0 0 0 0 0 1 0 0 E2
2 1 0 0 0 0 0 0 1 A1⊕E4
3 0 0 0 0 0 1 0 1 E2⊕E4
4 1 0 0 0 0 1 0 1 A1⊕E2⊕E4
5 1 1 0 0 0 1 0 1 A1⊕A2⊕E2⊕E4
6 1 0 0 0 0 2 0 1 A1⊕2E2⊕E4
7 1 1 0 0 0 1 0 2 A1⊕A2⊕E2⊕2E4
8 1 0 0 0 0 2 0 2 A1⊕2E2⊕2E4
9 1 1 0 0 0 2 0 2 A1⊕A2⊕2E2⊕2E4
10 2 1 0 0 0 2 0 2 2A1⊕A2⊕2E2⊕2E4
11 1 1 0 0 0 3 0 2 A1⊕A2⊕3E2⊕2E4
12 2 1 0 0 0 2 0 3 2A1⊕A2⊕2E2⊕3E4
13 1 1 0 0 0 3 0 3 A1⊕A2⊕3E2⊕3E4
14 2 1 0 0 0 3 0 3 2A1⊕A2⊕3E2⊕3E4
15 2 2 0 0 0 3 0 3 2A1⊕2A2⊕3E2⊕3E4
16 2 1 0 0 0 4 0 3 2A1⊕A2⊕4E2⊕3E4
17 2 2 0 0 0 3 0 4 2A1⊕2A2⊕3E2⊕4E4
18 2 1 0 0 0 4 0 4 2A1⊕A2⊕4E2⊕4E4
19 2 2 0 0 0 4 0 4 2A1⊕2A2⊕4E2⊕4E4
20 3 2 0 0 0 4 0 4 3A1⊕2A2⊕4E2⊕4E4


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