Charge Transfer in Partition Theory
Morrel H. Cohen, Adam Wasserman, Roberto Car, and Kieron Burke

TL;DR
This paper demonstrates how Partition Theory provides a clear method for defining molecular fragment charges and analyzing charge redistribution during dissociation, with promising transferability for chemical applications.
Contribution
It applies Partition Theory to a simple model to show its effectiveness in charge analysis, transferability, and insights into electron localization during dissociation.
Findings
Sharp fragment charge definition from PT
Charge redistribution analysis during dissociation
Good transferability within meaningful parameters
Abstract
The recently proposed Partition Theory (PT) [J.Phys.Chem.A 111, 2229 (2007)] is illustrated on a simple one-dimensional model of a heteronuclear diatomic molecule. It is shown that a sharp definition for the charge of molecular fragments emerges from PT, and that the ensuing population analysis can be used to study how charge redistributes during dissociation and the implications of that redistribution for the dipole moment. Interpreting small differences between the isolated parts' ionization potentials as due to environmental inhomogeneities, we gain insight into how electron localization takes place in H2+ as the molecule dissociates. Furthermore, by studying the preservation of the shapes of the parts as different parameters of the model are varied, we address the issue of transferability of the parts. We find good transferability within the chemically meaningful parameter regime,…
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