Results for Point Group D17h



Symmetric powers of degenerate representation E''7
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 17C'2 σh 2S17 2(S17)15 2(S17)3 2(S17)13 2(S17)5 2(S17)11 2(S17)7 2(S17)9 17σv
1 2 -1.700 0.891 0.185 -1.205 1.865 -1.966 1.478 -0.547 0 -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 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 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 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 -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 -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 -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 -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 -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 -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 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 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 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 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 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 -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 -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 -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 -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 21 -1.516 -1.074 -0.363 0.660 2.756 -3.666 0.273 0.931 1


Decomposition to irreducible representations
Power
To
A'1 A'2 E'1 E'2 E'3 E'4 E'5 E'6 E'7 E'8 A''1 A''2 E''1 E''2 E''3 E''4 E''5 E''6 E''7 E''8
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 E''7
2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 A'1⊕E'3
3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 E''4⊕E''7
4 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 A'1⊕E'3⊕E'6
5 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 E''1⊕E''4⊕E''7
6 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 A'1⊕E'3⊕E'6⊕E'8
7 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 E''1⊕E''2⊕E''4⊕E''7
8 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 A'1⊕E'3⊕E'5⊕E'6⊕E'8
9 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 E''1⊕E''2⊕E''4⊕E''5⊕E''7
10 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 A'1⊕E'2⊕E'3⊕E'5⊕E'6⊕E'8
11 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 E''1⊕E''2⊕E''4⊕E''5⊕E''7⊕E''8
12 1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 A'1⊕E'1⊕E'2⊕E'3⊕E'5⊕E'6⊕E'8
13 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 E''1⊕E''2⊕E''4⊕E''5⊕E''6⊕E''7⊕E''8
14 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 A'1⊕E'1⊕E'2⊕E'3⊕E'4⊕E'5⊕E'6⊕E'8
15 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 E''1⊕E''2⊕E''3⊕E''4⊕E''5⊕E''6⊕E''7⊕E''8
16 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 A'1⊕E'1⊕E'2⊕E'3⊕E'4⊕E'5⊕E'6⊕E'7⊕E'8
17 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 A''1⊕A''2⊕E''1⊕E''2⊕E''3⊕E''4⊕E''5⊕E''6⊕E''7⊕E''8
18 1 0 1 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 A'1⊕E'1⊕E'2⊕E'3⊕E'4⊕E'5⊕E'6⊕2E'7⊕E'8
19 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 1 A''1⊕A''2⊕E''1⊕E''2⊕2E''3⊕E''4⊕E''5⊕E''6⊕E''7⊕E''8
20 1 0 1 1 1 2 1 1 2 1 0 0 0 0 0 0 0 0 0 0 A'1⊕E'1⊕E'2⊕E'3⊕2E'4⊕E'5⊕E'6⊕2E'7⊕E'8



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