drotations
functions
functions
| Td | E | 8C3 | 3C2 | 6S4 | 6d |
rotations |
functions |
functions |
|---|---|---|---|---|---|---|---|---|
| A1 | +1 | +1 | +1 | +1 | +1 | - | x2+y2+z2 | xyz |
| A2 | +1 | +1 | +1 | -1 | -1 | - | - | - |
| E | +2 | -1 | +2 | 0 | 0 | - | (2z2-x2-y2, x2-y2) | - |
| T1 | +3 | 0 | -1 | +1 | -1 | (Rx, Ry, Rz) | - | [x(z2-y2), y(z2-x2), z(x2-y2)] |
| T2 | +3 | 0 | -1 | -1 | +1 | (x, y, z) | (xy, xz, yz) | (x3, y3, z3) [x(z2+y2), y(z2+x2), z(x2+y2)] |
| Number of symmetry elements | h = 24 |
| Number of irreducible representations | n = 5 |
| Abelian group | no |
| Number of subgroups | 9 |
| Subgroups | Cs , C2 , C3 , D2 , C2v , C3v , D2d , S4 , T |
|---|---|
| Optical Isomerism (Chirality) | no |
| Polar | no |
| Phosphorus | Methane | Tetrahedrane |
|---|---|---|
| Nickeltetracarbonyl | Phosphorustrioxide | Phosphoruspentoxide |
| Neopentane | Urotropine | Adamantane |
| Fullerene C28 (Td) | Tetrairidiumdodecacarbonyl |
| dipole (p) | T2 |
|---|---|
| quadrupole (d) | E+T2 |
| octopole (f) | A1+T1+T2 |
| hexadecapole (g) | A1+E+T1+T2 |
| 32-pole (h) | E+T1+2T2 |
| 64-pole (i) | A1+A2+E+T1+2T2 |
| 128-pole (j) | A1+E+2T1+2T2 |
| 256-pole(k) | A1+2E+2T1+2T2 |
| 512-pole (l) | A1+A2+E+2T1+3T2 |
