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For the moment, there is no exact description of van der Waals (vdW)interactions. ACFD-RPA \cite{Gould1} is expected to better describe vdWbonding, but it is not exact. The PBE/DFT-D2 method is less satisfactory,however, its results are in good agreement with experimental data. Although ourfitting technique may weaken (not neglect) the vdW interactions and produceinterlayer potentials with weakened vdW, the obtained interlayer potentialsreproduce energetics of graphite near the equilibrium interlayer distance verywell, as shown in Ref. \cite{Chen}. If having inputs which fully include vdWinteractions and having better fitting functions, we believe that interlayerpotentials can also fully include vdW interactions in graphite system.

Replying "the comment on Interlayer interactions in graphites"