Calculation of d-orbital participation

Orbital Configurations: $$\begin{aligned} \text{sp}^3\text{d} &\implies \text{uses } d_{z^2} \\ \text{sp}^3\text{d}^2 &\implies \text{uses } d_{x^2-y^2} \text{ and } d_{z^2} \\ \text{sp}^3\text{d}^3 &\implies \text{uses } d_{xy} \end{aligned}$$

Concept: Identifies the specific, directionally oriented spatial $$d$$-orbitals involved in forming higher coordination geometry hybrid sets.

Notation:

• $$d_{z^2}, d_{x^2-y^2}, d_{xy}$$ = Specific spatial $$d$$-orbital subshells taking part in the directional covalent bonding.