Redox Potentials of Small Inorganic Radicals and Hexa-Aquo Complexes of First-Row Transition Metals in Water: A DFT Study Based on the Grand Canonical Ensemble

The potentials of redox systems involving nitrogen, oxygen, and metal ions of the first-row transition series have been computed according to the general approach of the grand canonical ensemble, which leads to the equilibrium value of the reduction potential via a (complete) sampling of configuration space at a given temperature. The approach is a single configuration approach in the sense that identical molecular structures are sampled for both the oxidized and reduced species considered in water solution. In this study, the solute and a cluster of 11–12 water molecules are treated explicitly at the same level of theory and embedded in a continuum solvent. The molecular energies are computed in the framework of the density functional theory. Our approach is basically different from the approach based on the ThermoDynamic Cycle involving gas-phase calculations of the electron affinity of the oxidized species, corrected by the differential hydration energy (obtained from continuum solvent models only) bet...