| D2 | E | C2 (z) | C2 (y) | C2 (x) | rotations |
functions |
functions |
|---|---|---|---|---|---|---|---|
| A | +1 | +1 | +1 | +1 | - | x2, y2, z2 | xyz |
| B1 | +1 | +1 | -1 | -1 | z, Rz | xy | z3, y2z, x2z |
| B2 | +1 | -1 | +1 | -1 | y, Ry | xz | yz2, x2y, y3 |
| B3 | +1 | -1 | -1 | +1 | x, Rx | yz | xz2, xy2, x3 |
| Number of symmetry elements | h = 4 |
| Number of irreducible representations | n = 4 |
| Abelian group | yes |
| Number of subgroups | 3 |
| Number of distinct subgroups | 1 |
| Subgroup
(Number of different orientations) |
C2 (3) |
|---|---|
| Optical Isomerism (Chirality) | yes |
| Polar | no |
| Biphenyl | Twistane |
|---|
| dipole (p) | B1+B2+B3 |
|---|---|
| quadrupole (d) | 2A+B1+B2+B3 |
| octopole (f) | A+2B1+2B2+2B3 |
| hexadecapole (g) | 3A+2B1+2B2+2B3 |
| 32-pole (h) | 2A+3B1+3B2+3B3 |
| 64-pole (i) | 4A+3B1+3B2+3B3 |
| 128-pole (j) | 3A+4B1+4B2+4B3 |
| 256-pole(k) | 5A+4B1+4B2+4B3 |
| 512-pole (l) | 4A+5B1+5B2+5B3 |