Charge transfer interaction revisited by a Fermi-Dirac derived approach.

Context: In this article, we adapt a recent proposition to use a Fermi-Dirac-type population scheme on Kohn-Sham molecular orbitals to the case of an interaction with a thermalised electrode. This allows to derive a fundamental non-linear equation linking the chemical potential of the electrode and the amount of charge transferred to the system under study, hence allows to quantify the propensity to charge transfer (philicity). This methodology is applied to a large set of common electrophiles and nucleophiles, showing decent relation with more standard philicity descriptors. Chemical hardness is also revisited by this approach. Methods: All calculations were performed using the Gaussian 16 software package at the M062X/aug-cc-pvtz level of theory. Data analysis was then performed through a Python3 dedicated program (relying on the fsolve numerical solver from the SciPy package), using Gaussian output files, and available as supplementary material. [ABSTRACT FROM AUTHOR]