Does anyone have a link to a picture of the shapes of tetrahedrally adapted atomic d-orbitals? Aren't the familiar d(z2), d(x2-y2), d(xz), d(xy) and d(yz) orbitals just one of several possible sets of atomic d-orbital shapes? Or have I misunderstood this point? I would like to rationalise why in a tetrahedral ligand field a triply degenerate set will be able to interact with the ligands and a doubly degenerate set will not. For octahedral symmetry this (well, rather the inverse: two orbitals interact, three won't) is easy, because usually we depict the d-orbitals as above in cartesian coordinates. But shouldn't it be possible to make linear combinations of the d-orbitals to create what is to become one doubly and one triply degenerate set if a tetrahedral field is applied? I tried the question in the chemistry section, but without much success, when I realised it might be better placed here since it concerns atomic orbitals and quantum physics (although it applies to chemical complex forming and MO theory).