This work describes the partitioning of the electronic energy in systems in which the atoms in molecules theory predicts the existence of non-nuclear attractors. The procedure is based on our previous proposals within studies of topological population analysis [D.R. Alcoba, L. Lain, A. Torre, R.C. Bochicchio, Chem. Phys. Lett. 407 (2005) 379]. Numerical determinations in the acetylene and dilithium molecules are reported and compared with those arising from other approaches. (c) 2006 Elsevier B.V. All rights reserved.