✅
D5d | E | 2C5 | 2(C5)2 | 5C'2 | i | 2(S10)3 | 2S10 | 5σd |
---|---|---|---|---|---|---|---|---|
A1g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
A2g | 1 | 1 | 1 | -1 | 1 | 1 | 1 | -1 |
E1g | 2 | 2cos(2π/5) | 2cos(4π/5) | 0 | 2 | 2cos(2π/5) | 2cos(4π/5) | 0 |
E2g | 2 | 2cos(4π/5) | 2cos(2π/5) | 0 | 2 | 2cos(4π/5) | 2cos(2π/5) | 0 |
A1u | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 |
A2u | 1 | 1 | 1 | -1 | -1 | -1 | -1 | 1 |
E1u | 2 | 2cos(2π/5) | 2cos(4π/5) | 0 | -2 | -2cos(2π/5) | -2cos(4π/5) | 0 |
E2u | 2 | 2cos(4π/5) | 2cos(2π/5) | 0 | -2 | -2cos(4π/5) | -2cos(2π/5) | 0 |
Number of symmetry elements | h = 20 |
Number of classes, irreps | n = 8 |
Abelian group | no |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | yes |