Local potential energy density – A DFT analysis and the local binding energy in complexes with multiple interactions

A recently developed method, so-called local potential energy density, LPED, provides the binding energy density of intra/intermolecular interactions. The LPED cannot directly give the binding energy of intra/intermolecular interactions. However, it can indirectly give the binding energy through the linear equation between LPED and supramolecular binding energy, SME. In addition, the LPED can be used to obtain the SME of local or individual interactions indirectly for the case of complexes with multiple interactions, which cannot be obtained for any other method to our knowledge. The calculation of the LPED was evaluated with three different levels of theory using density functional methods. The linearity of LPED and SME between the reference level of theory (ωB97X-D/aug-cc-pVTZ) and the other levels of theory are similar among the studied levels of theory. In addition, LPED was used indirectly to obtain the local binding energy of intermolecular interactions of complexes with multiple interactions, such as the EDTA-Ca⁺² and the fosfomycin-Ca⁺².