Question
How are $\mathrm{d}_{\mathrm{xy}}$ and $\mathrm{d}_{\mathrm{x}^2}-\mathrm{y}^2$ orbitals related?

Answer

The $d_{x y}$ orbital is exactly like $d_{x^2}-y^2$ orbital except that its lobes are at an angle of $45^{\circ}$ to the lobes of $\mathrm{dx}^2-\mathrm{y}^2$ orbital.

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