A Density Functional Theory Based Protocol to Compute the Redox Potential of Transition Metal Complex with the Correction of Pseudo-Counterion: General Theory and Applications

Abstract

We propose an accurate scheme to evaluate the redox potential of a wide variety of transition metal complexes by adding a charge-dependent correction term for a counterion around the charged complexes, which is based on Generalized Born theory, to the solvation energy. The mean absolute error (MAE) toward experimental redox potentials of charged complexes is considerably reduced from 0.81 V (maximum error 1.22 V) to 0.22 V (maximum error 0.50 V). We found a remarkable exchange-correlation functional dependence on the results rather than the basis set ones. The combination of Wachters+f (for metal) and 6-31++G­(d,p) (for other atoms) with the B3LYP functional gives the least MAE 0.15 V for the test complexes. This scheme is applicable to other solvents, and heavier transition metal complexes such as M<sub>1</sub>(CO)<sub>5</sub>(pycn) (M<sub>1</sub> = Cr, Mo, W), M<sub>2</sub>(mnt)<sub>2</sub> (M<sub>2</sub> = Ni, Pd, Pt), and M<sub>3</sub>(bpy)<sub>3</sub> (M<sub>3</sub> = Fe, Ru, Os) with the same quality

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