Results for Point Group C17v



Symmetric powers of degenerate representation E5
Vibrational overtones


Characters of symmetric powers
Power
To
E 2C17 2(C17)2 2(C17)3 2(C17)4 2(C17)5 2(C17)6 2(C17)7 2(C17)8 17σv
1 2 -0.547 -1.700 1.478 0.891 -1.966 0.185 1.865 -1.205 0
2 3 -0.700 1.891 1.185 -0.205 2.865 -0.966 2.478 0.453 1
3 4 0.931 -1.516 0.273 -1.074 -3.666 -0.363 2.756 0.660 0
4 5 0.191 0.686 -0.781 -0.753 4.343 0.899 2.663 -1.248 1
5 6 -1.035 0.349 -1.428 0.404 -4.872 0.529 2.209 0.844 0
6 7 0.376 -1.280 -1.329 1.112 5.234 -0.801 1.457 0.230 1
7 8 0.830 1.827 -0.536 0.588 -5.419 -0.677 0.509 -1.122 0
8 9 -0.830 -1.827 0.536 -0.588 5.419 0.677 -0.509 1.122 1
9 10 -0.376 1.280 1.329 -1.112 -5.234 0.801 -1.457 -0.230 0
10 11 1.035 -0.349 1.428 -0.404 4.872 -0.529 -2.209 -0.844 1
11 12 -0.191 -0.686 0.781 0.753 -4.343 -0.899 -2.663 1.248 0
12 13 -0.931 1.516 -0.273 1.074 3.666 0.363 -2.756 -0.660 1
13 14 0.700 -1.891 -1.185 0.205 -2.865 0.966 -2.478 -0.453 0
14 15 0.547 1.700 -1.478 -0.891 1.966 -0.185 -1.865 1.205 1
15 16 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 0
16 17 -0.000 0.000 0.000 0.000 0.000 0.000 0.000 -0.000 1
17 18 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0
18 19 -0.547 -1.700 1.478 0.891 -1.966 0.185 1.865 -1.205 1
19 20 -0.700 1.891 1.185 -0.205 2.865 -0.966 2.478 0.453 0
20 21 0.931 -1.516 0.273 -1.074 -3.666 -0.363 2.756 0.660 1


Decomposition to irreducible representations
Power
To
A1 A2 E1 E2 E3 E4 E5 E6 E7 E8
1 0 0 0 0 0 0 1 0 0 0 E5
2 1 0 0 0 0 0 0 0 1 0 A1⊕E7
3 0 0 0 1 0 0 1 0 0 0 E2⊕E5
4 1 0 0 0 1 0 0 0 1 0 A1⊕E3⊕E7
5 0 0 0 1 0 0 1 0 0 1 E2⊕E5⊕E8
6 1 0 0 0 1 1 0 0 1 0 A1⊕E3⊕E4⊕E7
7 0 0 1 1 0 0 1 0 0 1 E1⊕E2⊕E5⊕E8
8 1 0 0 0 1 1 0 1 1 0 A1⊕E3⊕E4⊕E6⊕E7
9 0 0 1 1 0 0 1 1 0 1 E1⊕E2⊕E5⊕E6⊕E8
10 1 0 1 0 1 1 0 1 1 0 A1⊕E1⊕E3⊕E4⊕E6⊕E7
11 0 0 1 1 0 1 1 1 0 1 E1⊕E2⊕E4⊕E5⊕E6⊕E8
12 1 0 1 0 1 1 0 1 1 1 A1⊕E1⊕E3⊕E4⊕E6⊕E7⊕E8
13 0 0 1 1 1 1 1 1 0 1 E1⊕E2⊕E3⊕E4⊕E5⊕E6⊕E8
14 1 0 1 1 1 1 0 1 1 1 A1⊕E1⊕E2⊕E3⊕E4⊕E6⊕E7⊕E8
15 0 0 1 1 1 1 1 1 1 1 E1⊕E2⊕E3⊕E4⊕E5⊕E6⊕E7⊕E8
16 1 0 1 1 1 1 1 1 1 1 A1⊕E1⊕E2⊕E3⊕E4⊕E5⊕E6⊕E7⊕E8
17 1 1 1 1 1 1 1 1 1 1 A1⊕A2⊕E1⊕E2⊕E3⊕E4⊕E5⊕E6⊕E7⊕E8
18 1 0 1 1 1 1 2 1 1 1 A1⊕E1⊕E2⊕E3⊕E4⊕2E5⊕E6⊕E7⊕E8
19 1 1 1 1 1 1 1 1 2 1 A1⊕A2⊕E1⊕E2⊕E3⊕E4⊕E5⊕E6⊕2E7⊕E8
20 1 0 1 2 1 1 2 1 1 1 A1⊕E1⊕2E2⊕E3⊕E4⊕2E5⊕E6⊕E7⊕E8



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