v(xz)v(yz)rotations
functions
functions
| C2v | E | C2 (z) | v(xz) |
v(yz) |
rotations |
functions |
functions |
|---|---|---|---|---|---|---|---|
| A1 | +1 | +1 | +1 | +1 | z | x2, y2, z2 | z3, x2z, y2z |
| A2 | +1 | +1 | -1 | -1 | Rz | xy | xyz |
| B1 | +1 | -1 | +1 | -1 | x, Ry | xz | xz2, x3, xy2 |
| B2 | +1 | -1 | -1 | +1 | y, Rx | yz | yz2, y3, x2y |
| Number of symmetry elements | h = 4 |
| Number of irreducible representations | n = 4 |
| Abelian group | yes |
| Number of subgroups | 3 |
| Number of distinct subgroups | 2 |
| Subgroups
(Number of different orientations) |
Cs (2) , C2 |
|---|---|
| Optical Isomerism (Chirality) | no |
| Polar | yes |
| Water | Formaldehyde | Diazomethane |
|---|---|---|
| 1,2-Dichloroethylene (cis) | Trisulfurdinitrogendioxide | Squaric Acid Difluoride |
| Butadiene (s-cis) | Propane | Cyclohexane (boat) |
| Azulene | Phenanthrene |
| dipole (p) | A1+B1+B2 |
|---|---|
| quadrupole (d) | 2A1+A2+B1+B2 |
| octopole (f) | 2A1+A2+2B1+2B2 |
| hexadecapole (g) | 3A1+2A2+2B1+2B2 |
| 32-pole (h) | 3A1+2A2+3B1+3B2 |
| 64-pole (i) | 4A1+3A2+3B1+3B2 |
| 128-pole (j) | 4A1+3A2+4B1+4B2 |
| 256-pole(k) | 5A1+4A2+4B1+4B2 |
| 512-pole (l) | 5A1+4A2+5B1+5B2 |
