A second-order BSSE-free intermolecular perturbation theory is develop
ed starting from the orbitals and orbital energies obtained by solving
the monomer SCF problems and treating electron correlation and interm
olecular interaction simultaneously. The unperturbed Hamiltonian is de
fined as the sum of the monomer Fock operators by taking into account
the intermolecular overlap. A second-quantized formalism is used in wh
ich the creation and annihilation operators pertaining to the non-orth
ogonal basis are expanded in terms of analogous ones in an auxiliary o
rthogonal basis. The first-order wavefunction is calculated by using t
he BSSE-free CHA Hamiltonian and the second-order energy contribution
is determined by using the generalized Hylleraas functional recently p
roposed by one of us. The sample calculations on helium and water dime
rs show the applicability of the proposed scheme for most different ty
pes of intermolecular interaction.