How do you predict the relative energy of the dz² in Octahedral crystal field compared to linear crystal field that along the y-axis?
The relative energy of the d orbitals in a crystal field depends on the symmetry of the field and the orientation of the orbitals with respect to that field. In octahedral crystal field splitting, the d orbitals split into two sets: � 2 � t 2 g (dxy, dyz, dzx) and � � e g (dx²-y², dz²). In a linear crystal field along the y-axis, there is only one set of d orbitals involved, which are along the y-axis (dyz and dyz). This is a simplified scenario where the other d orbitals are not affected due to their orientation. Now, comparing the relative energies of the dz² orbital in octahedral and linear crystal fields along the y-axis: Octahedral Crystal Field: In an octahedral crystal field, the dz² orbital experiences repulsion from the ligands along the z-axis and is raised in energy compared to the dxy, dyz, and dzx orbitals. This results in the dz² orbital being higher in energy compared to the � 2 � t 2 g set of orbitals. Linear Crystal Field along y-axis: In a linear crysta...