vrotations
functions
functions
| C3v | E | 2C3 (z) | 3v |
rotations |
functions |
functions |
|---|---|---|---|---|---|---|
| A1 | +1 | +1 | +1 | z | x2+y2, z2 | z3, x(x2-3y2), z(x2+y2) |
| A2 | +1 | +1 | -1 | Rz | - | y(3x2-y2) |
| E | +2 | -1 | 0 | (x, y) (Rx, Ry) | (x2-y2, xy) (xz, yz) | (xz2, yz2) [xyz, z(x2-y2)] [x(x2+y2), y(x2+y2)] |
| Number of symmetry elements | h = 6 |
| Number of irreducible representations | n = 3 |
| Abelian group | no |
| Number of subgroups | 2 |
| Subgroups | Cs , C3 |
|---|---|
| Optical Isomerism (Chirality) | no |
| Polar | yes |
| Ammonia | Chloroform | Acetonitrile |
|---|---|---|
| Xenonhexafluoride | 1,1,1-Trichloroethane | Trioxane |
| Triquinacene | 1-Azabicyclo[2.2.2]octane | Sumanene |
| dipole (p) | A1+E |
|---|---|
| quadrupole (d) | A1+2E |
| octopole (f) | 2A1+A2+2E |
| hexadecapole (g) | 2A1+A2+3E |
| 32-pole (h) | 2A1+A2+4E |
| 64-pole (i) | 3A1+2A2+4E |
| 128-pole (j) | 3A1+2A2+5E |
| 256-pole(k) | 3A1+2A2+6E |
| 512-pole (l) | 4A1+3A2+6E |
