In previous papers, we presented an evaluation of the dispersion energy, using a double perturbation scheme and an “Epstein-Nesbet partition” of the individual molecular hamiltonians. The purpose of the present work is to check whether such dispersion energies, added to the SCF supermolecule energies, are able to give a reasonable description of the intermolecular (or interatomic) interactions. In order to compare our values with experimental data or with other ab initio and and semi-empirical work, we have studied the Ne + Ne system. The depth of the van der Waals minimum obtained is about 71% of the value derived from experimental data.