Dispersion energy in the coupled pair approximation with noniterative inclusion of single and triple excitations

The second-order dispersion energy in the coupled-pair (coupled-cluster doubles) approximation has been derived. The coupled-pair amplitudes are subsequently used in a perturbation theory type expression to account for the effects of single and triple excitations. This approach selectively sums to infinite order important classes of intramonomer correlation diagrams resulting in a better theoretical description of the dispersion interaction compared to a finite-order perturbation treatment. Numerical results have been obtained for He2, Ar–H2, Ar–HF, (HF)2, (H2O)2, and He–F− in various geometries and basis sets to illustrate the performance of the nonperturbative versus perturbative treatments of the intramonomer correlation contributions to the energy of the dispersion interaction.