✅
D7d | E | 2C7 | 2(C7)2 | 2(C7)3 | 7C'2 | i | 2(S14)5 | 2(S14)3 | 2S14 | 7σd |
---|---|---|---|---|---|---|---|---|---|---|
A1g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
A2g | 1 | 1 | 1 | 1 | -1 | 1 | 1 | 1 | 1 | -1 |
E1g | 2 | 2cos(2π/7) | 2cos(4π/7) | 2cos(6π/7) | 0 | 2 | 2cos(2π/7) | 2cos(4π/7) | 2cos(6π/7) | 0 |
E2g | 2 | 2cos(4π/7) | 2cos(6π/7) | 2cos(2π/7) | 0 | 2 | 2cos(4π/7) | 2cos(6π/7) | 2cos(2π/7) | 0 |
E3g | 2 | 2cos(6π/7) | 2cos(2π/7) | 2cos(4π/7) | 0 | 2 | 2cos(6π/7) | 2cos(2π/7) | 2cos(4π/7) | 0 |
A1u | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 |
A2u | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | 1 |
E1u | 2 | 2cos(2π/7) | 2cos(4π/7) | 2cos(6π/7) | 0 | -2 | -2cos(2π/7) | -2cos(4π/7) | -2cos(6π/7) | 0 |
E2u | 2 | 2cos(4π/7) | 2cos(6π/7) | 2cos(2π/7) | 0 | -2 | -2cos(4π/7) | -2cos(6π/7) | -2cos(2π/7) | 0 |
E3u | 2 | 2cos(6π/7) | 2cos(2π/7) | 2cos(4π/7) | 0 | -2 | -2cos(6π/7) | -2cos(2π/7) | -2cos(4π/7) | 0 |
Number of symmetry elements | h = 28 |
Number of classes, irreps | n = 10 |
Abelian group | no |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | yes |