S10 | E | 2C5 | 2(C5)2 | i | 2(S10)3 | 2S10 |
---|---|---|---|---|---|---|
Ag | 1 | 1 | 1 | 1 | 1 | 1 |
E1g* | 2 | 2cos(2π/5) | 2cos(4π/5) | 2 | 2cos(2π/5) | 2cos(4π/5) |
E2g* | 2 | 2cos(4π/5) | 2cos(2π/5) | 2 | 2cos(4π/5) | 2cos(2π/5) |
Au | 1 | 1 | 1 | -1 | -1 | -1 |
E1u* | 2 | 2cos(2π/5) | 2cos(4π/5) | -2 | -2cos(2π/5) | -2cos(4π/5) |
E2u* | 2 | 2cos(4π/5) | 2cos(2π/5) | -2 | -2cos(4π/5) | -2cos(2π/5) |
Number of symmetry elements | h = 10 |
Number of classes, irreps | n = 10 |
Number of real-valued irreducible representations | n = 6 |
Abelian group | yes |
Optical Isomerism (Chirality) | no |
Polar | no |
Parity | yes |