Results for Point Group C17



Symmetric powers of degenerate representation E3
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
1 2 0.891 -1.205 -1.966 -0.547 1.478 1.865 0.185 -1.700
2 3 -0.205 0.453 2.865 -0.700 1.185 2.478 -0.966 1.891
3 4 -1.074 0.660 -3.666 0.931 0.273 2.756 -0.363 -1.516
4 5 -0.753 -1.248 4.343 0.191 -0.781 2.663 0.899 0.686
5 6 0.404 0.844 -4.872 -1.035 -1.428 2.209 0.529 0.349
6 7 1.112 0.230 5.234 0.376 -1.329 1.457 -0.801 -1.280
7 8 0.588 -1.122 -5.419 0.830 -0.536 0.509 -0.677 1.827
8 9 -0.588 1.122 5.419 -0.830 0.536 -0.509 0.677 -1.827
9 10 -1.112 -0.230 -5.234 -0.376 1.329 -1.457 0.801 1.280
10 11 -0.404 -0.844 4.872 1.035 1.428 -2.209 -0.529 -0.349
11 12 0.753 1.248 -4.343 -0.191 0.781 -2.663 -0.899 -0.686
12 13 1.074 -0.660 3.666 -0.931 -0.273 -2.756 0.363 1.516
13 14 0.205 -0.453 -2.865 0.700 -1.185 -2.478 0.966 -1.891
14 15 -0.891 1.205 1.966 0.547 -1.478 -1.865 -0.185 1.700
15 16 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000
16 17 -0.000 -0.000 0.000 0.000 0.000 -0.000 -0.000 -0.000
17 18 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000
18 19 0.891 -1.205 -1.966 -0.547 1.478 1.865 0.185 -1.700
19 20 -0.205 0.453 2.865 -0.700 1.185 2.478 -0.966 1.891
20 21 -1.074 0.660 -3.666 0.931 0.273 2.756 -0.363 -1.516


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


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