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Computing the superexchange electronic factor of electron transfer theory using a grid‐based numerical method
Authors:M C Wells  R R Lucchese
Abstract:We report a method for calculating the electronic factor in the superexchange rate equation of electron transfer theory; this method is a basis set independent, grid‐based numerical technique that utilizes fast Fourier transforms (FFTs) and a Lanczos recursion in a pseudospectral framework and is used to treat a three‐dimensional one‐electron model of the electronic factor. We compare eigenvalues calculated from the current method to eigenvalues from the literature for both one‐dimensional (1D) and three‐dimensional (3D) model problems and find that the current method provides excellent accuracy and efficiency. With respect to the superexchange electronic factor, we use model potentials to calculate the tunneling matrix elements with the present method to illustrate how the method can be used to address current issues in superexchange. In particular, we show how this method is useful in evaluating the effect of the bridge potential on the superexchange electronic factor when using repulsive‐core pseudopotentials to represent the bridge. © 2000 John Wiley & Sons, Inc. J Comput Chem 21: 1262–1273, 2000
Keywords:electron transfer  superexchange  Lanczos diagonalization  fast Fourier transforms  electronic factor
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