I have written up a previous answer which addressesa previous answer which addresses how to predict an interaction energy ($E_{\mathrm{int}}$) which is completely different from a binding energy ($E_{\mathrm{bind}}$). However, much of the concepts will remain the same. I will try to outline here what in fact is the difference between an interaction energy and a binding energy. Unfortunately, 'binding energy' is tossed around a lot in the literature and consequently grossly misused. I hope to clarify the subtle differences between these two terms in my answer to your question.