From Linnett-Gillespie model to the polarization of the spin valence shells of metals in complexes

Abstract

We present a novel approach to track the origin of the metal complex structure from the topology of the α and β spin densities as an extension of the Linnett-Gillespie model. Usually, the theories that explain the metal-ligand interactions consider the disposition and the relative energies of the empty or occupied set of d orbitals, ignoring the spin contribution explicitly. Our Quantum Topological approach considers the spatial distribution of the α and β spin valence shells, and the energy interaction between them. We used the properties of the atomic graph, a topological object that summarises the charge concentrations and depletions on the valence shell of an atom in a molecule, and the Interacting Quantum Atoms energy partition scheme. Unlike the Linnett-Gillespie model, which stands on the electron-electron repulsion, our approach states that the ligands provoke a redistribution of the electron density to maximize the nuclear-electron interactions in each spin valence shell to overpass the concentration of electron-electron interactions, resulting in a polarization pattern which determines the position of the ligands.