An energy decomposition and extrapolation scheme for evaluating electron transfer rate constants: A case study on electron self-exchange reactions of transition metal complexes

30 June 2022, Version 1
This content is a preprint and has not undergone peer review at the time of posting.


A simple approach for analyzing electron transfer (ET) reactions is proposed based on energy decomposition and extrapolation schemes. The present energy decomposition and extrapolation-based electron localization (EDEEL) method represents the diabatic energies for the initial and final states using the adiabatic energies of the donor and acceptor species and their complex. A scheme to estimate ET rate constants efficiently is also proposed by combining it with the Marcus theory. EDEEL is semi-quantitative by directly evaluating the seam-of-crossing region of two diabatic potentials. In a numerical test, EDEEL successfully provided ET rate constants for electron self-exchange reactions of thirteen transition metal complexes with reasonable accuracy. Furthermore, its energy decomposition and extrapolation schemes give all the energy values required in the activation strain model (ASM) analysis. The ASM analysis using EDEEL provided rational interpretations of the variation of the ET rate constants depending on the transition metal complexes. Its extension combining two computational levels was discussed to further reduce its computational costs. These results suggest that EDEEL is useful in efficiently evaluating ET rate constants and obtaining a rational understanding of their magnitudes.


Electron transfer
rate constant
energy decomposition
energy extrapolation
activation-strain model analysis
quantum chemical calculation

Supplementary materials

Supplementary Materials
1. Maximization of electron self-exchange reaction rate constants 2. Activation strain model analysis 3-10. Cartesian coordinates and energies


Comments are not moderated before they are posted, but they can be removed by the site moderators if they are found to be in contravention of our Commenting Policy [opens in a new tab] - please read this policy before you post. Comments should be used for scholarly discussion of the content in question. You can find more information about how to use the commenting feature here [opens in a new tab] .
This site is protected by reCAPTCHA and the Google Privacy Policy [opens in a new tab] and Terms of Service [opens in a new tab] apply.