How to understand the correspondence between practical and theoretical free energy computation?

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 10:31:48 AM PST - Fri, Nov 15th 2013 $\Delta W_{AB}^{int}$ is the zeroth order approximation for $( \Delta W_{AA}^{DFT-ESP} - \Delta W_{BB}^{DFT-ESP} )$. It should be pretty accurate especially if A and B are close to each other.