| C2h | E | C2 (z) | i | h |
rotations |
functions |
functions |
|---|---|---|---|---|---|---|---|
| Ag | +1 | +1 | +1 | +1 | Rz | x2, y2, z2, xy | - |
| Bg | +1 | -1 | +1 | -1 | Rx, Ry | xz, yz | - |
| Au | +1 | +1 | -1 | -1 | z | - | z3, xyz, x2z, y2z |
| Bu | +1 | -1 | -1 | +1 | x, y | - | xz2, yz2, x2y, xy2, x3, y3 |
| Number of symmetry elements | h = 4 |
| Number of irreducible representations | n = 4 |
| Abelian group | yes |
| Number of subgroups | 3 |
| Subgroups | Cs , Ci , C2 |
|---|---|
| Optical Isomerism (Chirality) | no |
| Polar | no |
| 1,2-Dichloroethylene (trans) | Oxalic Acid | Butadiene (s-trans) |
|---|---|---|
| Butane | 1,5-Diazanaphthalene | Chrysene |
| dipole (p) | Au+2Bu |
|---|---|
| quadrupole (d) | 3Ag+2Bg |
| octopole (f) | 3Au+4Bu |
| hexadecapole (g) | 5Ag+4Bg |
| 32-pole (h) | 5Au+6Bu |
| 64-pole (i) | 7Ag+6Bg |
| 128-pole (j) | 7Au+8Bu |
| 256-pole(k) | 9Ag+8Bg |
| 512-pole (l) | 9Au+10Bu |