Gill, PeterCrittenden, DeborahO'Neill, Darragh PBesley, Nicholas2015-12-131463-9076http://hdl.handle.net/1885/83156We present a radical approach to the calculation of electron correlation energies. Unlike conventional methods based on Hartree-Fock or density functional theory, it is based on the two-electron phase-space information in the Omega intracule, a three-dimensional function derived from the Wigner distribution. Our formula for the correlation energy is isomorphic to the Hartree-Fock energy expression but requires a new type of four-index integral. Preliminary results, obtained using a model that is based on the known correlation energies of small atoms, are encouraging.Keywords: article; chemical model; electron; quantum theory; Electrons; Models, Chemical; Quantum Theory200610.1039/b511472a2015-12-12