✅
C18v | E | 2C18 | 2C9 | 2C6 | 2(C9)2 | 2(C18)5 | 2C3 | 2(C18)7 | 2(C9)4 | C2 | 9σv | 9σd |
---|---|---|---|---|---|---|---|---|---|---|---|---|
A1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
A2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 |
B1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 |
B2 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 |
E1 | 2 | 2cos(π/9) | 2cos(2π/9) | 1 | 2cos(4π/9) | -2cos(4π/9) | -1 | -2cos(2π/9) | -2cos(π/9) | -2 | 0 | 0 |
E2 | 2 | 2cos(2π/9) | 2cos(4π/9) | -1 | -2cos(π/9) | -2cos(π/9) | -1 | 2cos(4π/9) | 2cos(2π/9) | 2 | 0 | 0 |
E3 | 2 | 1 | -1 | -2 | -1 | 1 | 2 | 1 | -1 | -2 | 0 | 0 |
E4 | 2 | 2cos(4π/9) | -2cos(π/9) | -1 | 2cos(2π/9) | 2cos(2π/9) | -1 | -2cos(π/9) | 2cos(4π/9) | 2 | 0 | 0 |
E5 | 2 | -2cos(4π/9) | -2cos(π/9) | 1 | 2cos(2π/9) | -2cos(2π/9) | -1 | 2cos(π/9) | 2cos(4π/9) | -2 | 0 | 0 |
E6 | 2 | -1 | -1 | 2 | -1 | -1 | 2 | -1 | -1 | 2 | 0 | 0 |
E7 | 2 | -2cos(2π/9) | 2cos(4π/9) | 1 | -2cos(π/9) | 2cos(π/9) | -1 | -2cos(4π/9) | 2cos(2π/9) | -2 | 0 | 0 |
E8 | 2 | -2cos(π/9) | 2cos(2π/9) | -1 | 2cos(4π/9) | 2cos(4π/9) | -1 | 2cos(2π/9) | -2cos(π/9) | 2 | 0 | 0 |
Number of symmetry elements | h = 36 |
Number of classes, irreps | n = 12 |
Abelian group | no |
Optical Isomerism (Chirality) | no |
Polar | yes |
Parity | no |