✅
D11d | E | 2C11 | 2(C11)2 | 2(C11)3 | 2(C11)4 | 2(C11)5 | 11C'2 | i | 2(S22)9 | 2(S22)7 | 2(S22)5 | 2(S22)3 | 2S22 | 11σd |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A1g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
A2g | 1 | 1 | 1 | 1 | 1 | 1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 |
E1g | 2 | 2cos(2π/11) | 2cos(4π/11) | 2cos(6π/11) | 2cos(8π/11) | 2cos(10π/11) | 0 | 2 | 2cos(2π/11) | 2cos(4π/11) | 2cos(6π/11) | 2cos(8π/11) | 2cos(10π/11) | 0 |
E2g | 2 | 2cos(4π/11) | 2cos(8π/11) | 2cos(10π/11) | 2cos(6π/11) | 2cos(2π/11) | 0 | 2 | 2cos(4π/11) | 2cos(8π/11) | 2cos(10π/11) | 2cos(6π/11) | 2cos(2π/11) | 0 |
E3g | 2 | 2cos(6π/11) | 2cos(10π/11) | 2cos(4π/11) | 2cos(2π/11) | 2cos(8π/11) | 0 | 2 | 2cos(6π/11) | 2cos(10π/11) | 2cos(4π/11) | 2cos(2π/11) | 2cos(8π/11) | 0 |
E4g | 2 | 2cos(8π/11) | 2cos(6π/11) | 2cos(2π/11) | 2cos(10π/11) | 2cos(4π/11) | 0 | 2 | 2cos(8π/11) | 2cos(6π/11) | 2cos(2π/11) | 2cos(10π/11) | 2cos(4π/11) | 0 |
E5g | 2 | 2cos(10π/11) | 2cos(2π/11) | 2cos(8π/11) | 2cos(4π/11) | 2cos(6π/11) | 0 | 2 | 2cos(10π/11) | 2cos(2π/11) | 2cos(8π/11) | 2cos(4π/11) | 2cos(6π/11) | 0 |
A1u | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 |
A2u | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 |
E1u | 2 | 2cos(2π/11) | 2cos(4π/11) | 2cos(6π/11) | 2cos(8π/11) | 2cos(10π/11) | 0 | -2 | -2cos(2π/11) | -2cos(4π/11) | -2cos(6π/11) | -2cos(8π/11) | -2cos(10π/11) | 0 |
E2u | 2 | 2cos(4π/11) | 2cos(8π/11) | 2cos(10π/11) | 2cos(6π/11) | 2cos(2π/11) | 0 | -2 | -2cos(4π/11) | -2cos(8π/11) | -2cos(10π/11) | -2cos(6π/11) | -2cos(2π/11) | 0 |
E3u | 2 | 2cos(6π/11) | 2cos(10π/11) | 2cos(4π/11) | 2cos(2π/11) | 2cos(8π/11) | 0 | -2 | -2cos(6π/11) | -2cos(10π/11) | -2cos(4π/11) | -2cos(2π/11) | -2cos(8π/11) | 0 |
E4u | 2 | 2cos(8π/11) | 2cos(6π/11) | 2cos(2π/11) | 2cos(10π/11) | 2cos(4π/11) | 0 | -2 | -2cos(8π/11) | -2cos(6π/11) | -2cos(2π/11) | -2cos(10π/11) | -2cos(4π/11) | 0 |
E5u | 2 | 2cos(10π/11) | 2cos(2π/11) | 2cos(8π/11) | 2cos(4π/11) | 2cos(6π/11) | 0 | -2 | -2cos(10π/11) | -2cos(2π/11) | -2cos(8π/11) | -2cos(4π/11) | -2cos(6π/11) | 0 |
Number of symmetry elements | h = 44 |
Number of classes, irreps | n = 14 |
Abelian group | no |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | yes |