Molecular Symmetry and Group Theory |
Use the 4 CH bonds in the CH4 molecule as a basis to obtain a representation in the tetrahedral point group Td, and reduce this to its component irreducible representations. | ![]() |
Td | E | 8C3 | 3C2 | 6S4 | 6σd | ||
A1 | 1 | 1 | 1 | 1 | 1 | x2+y2+z2 | |
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) | |
T2 | 3 | 0 | -1 | -1 | 1 | (x,y,z) | (xy,xz,yz) |
Workshop Contents | Return to top of page | Next (Exercise 2) |