Results for Point Group C17v



Symmetric powers of degenerate representation E7
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 -1.700 0.891 0.185 -1.205 1.865 -1.966 1.478 -0.547 0
2 3 1.891 -0.205 -0.966 0.453 2.478 2.865 1.185 -0.700 1
3 4 -1.516 -1.074 -0.363 0.660 2.756 -3.666 0.273 0.931 0
4 5 0.686 -0.753 0.899 -1.248 2.663 4.343 -0.781 0.191 1
5 6 0.349 0.404 0.529 0.844 2.209 -4.872 -1.428 -1.035 0
6 7 -1.280 1.112 -0.801 0.230 1.457 5.234 -1.329 0.376 1
7 8 1.827 0.588 -0.677 -1.122 0.509 -5.419 -0.536 0.830 0
8 9 -1.827 -0.588 0.677 1.122 -0.509 5.419 0.536 -0.830 1
9 10 1.280 -1.112 0.801 -0.230 -1.457 -5.234 1.329 -0.376 0
10 11 -0.349 -0.404 -0.529 -0.844 -2.209 4.872 1.428 1.035 1
11 12 -0.686 0.753 -0.899 1.248 -2.663 -4.343 0.781 -0.191 0
12 13 1.516 1.074 0.363 -0.660 -2.756 3.666 -0.273 -0.931 1
13 14 -1.891 0.205 0.966 -0.453 -2.478 -2.865 -1.185 0.700 0
14 15 1.700 -0.891 -0.185 1.205 -1.865 1.966 -1.478 0.547 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 -1.700 0.891 0.185 -1.205 1.865 -1.966 1.478 -0.547 1
19 20 1.891 -0.205 -0.966 0.453 2.478 2.865 1.185 -0.700 0
20 21 -1.516 -1.074 -0.363 0.660 2.756 -3.666 0.273 0.931 1


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



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