Sketch d-orbital splitting diagrams for a complex in Td symmetry and a complex in D4h symmetry. Label the orbitals as bonding, antibonding, or non-bonding
The Attempt at a Solution
So I know that in Td symmetry, the d-orbitals split into a lower doubly-degenerate and an upper triply-degenerate level. Also, in D4h symmetry, the d-orbitals split as follows (from low to high energy): doubly-degenerate (xz, yz), singly-degenerate (z^2), singly-degenerate (xy), singly-degenerate (x^2-y^2).
However, I'm not sure how I am supposed to assign bonding characters to these diagrams: for Td, would the lower level simply be sigma and the upper be sigma*? And for the D4h case, would the ordering be as follows: sigma, pi, non-bonding, sigma*/pi*? I'm just taking a guess here - I'm really not sure how to approach this.
Thanks in advance for any help.