Character table for point group T
=exp(2
i/3)=exp(2i/3)| T | E | 4C3 | 4(C3)2 | 3C2 | rotations |
functions |
functions |
|---|---|---|---|---|---|---|---|
| A | +1 | +1 | +1 | +1 | - | x2+y2+z2 | xyz |
| E | +1 +1 |
+ + * |
+* + |
+1 +1 |
- | (x2-y2, 2z2-x2-y2) | - |
| T | +3 | 0 | 0 | -1 | (x, y, z) (Rx, Ry, Rz) | (xy, xz, yz) | (x3, y3, z3) (xy2, x2z, yz2) (xz2, x2y, y2z) |
| Number of symmetry elements | h = 12 |
| Number of irreducible representations | n = 4 |
| Number of real irreducible representations | n = 3 |
| Abelian group | no |
| Number of subgroups | 3 |
| Subgroups | C2 , C3 , D2 |
|---|---|
| Optical Isomerism (Chirality) | yes |
| Polar | no |
| Neopentane (rotated) | Fullerene C60F36 |
|---|
| dipole (p) | T |
|---|---|
| quadrupole (d) | E+T |
| octopole (f) | A+2T |
| hexadecapole (g) | A+E+2T |
| 32-pole (h) | E+3T |
| 64-pole (i) | 2A+E+3T |
| 128-pole (j) | A+E+4T |
| 256-pole(k) | A+2E+4T |
| 512-pole (l) | 2A+E+5T |
