rotations
functions
functions
/5)/5)/5)/5)| I | E | 12C5 | 12(C5)2 | 20C3 | 15C2 | rotations |
functions |
functions |
|---|---|---|---|---|---|---|---|---|
| A | +1 | +1 | +1 | +1 | +1 | - | x2+y2+z2 | - |
| T1 | +3 | -2cos(4/5) |
-2cos(2/5) |
0 | -1 | (x, y, z) (Rx, Ry, Rz) | - | [x(z2+y2), y(z2+x2), z(x2+y2)] |
| T2 | +3 | -2cos(2/5) |
-2cos(4/5) |
0 | -1 | - | - | [x3, y3, z3] |
| G | +4 | -1 | -1 | +1 | 0 | - | - | [x(z2-y2), y(z2-x2), z(x2-y2), xyz] |
| H | +5 | 0 | 0 | -1 | +1 | - | [2z2-x2-y2, x2-y2, xy, xz, yz] | - |
| Number of symmetry elements | h = 60 |
| Number of irreducible representations | n = 5 |
| Abelian group | no |
| Number of subgroups | 7 |
| Subgroups | C2 , C3 , C5 , D2 , D3 , D5 , T |
|---|---|
| Optical Isomerism (Chirality) | yes |
| Polar | no |
| Fullerene C140 |
|---|
| dipole (p) | T1 |
|---|---|
| quadrupole (d) | H |
| octopole (f) | T2+G |
| hexadecapole (g) | G+H |
| 32-pole (h) | T1+T2+H |
| 64-pole (i) | A+T1+G+H |
| 128-pole (j) | T1+T2+G+H |
| 256-pole(k) | T2+G+2H |
| 512-pole (l) | T1+T2+2G+H |
