Modeling exact exchange potential in spherically confined atoms
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Updated: Apr 5, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
1Departament de Química, Institut de Química Computacional i Catàlisi, Universitat de Girona, 17071, Girona, Spain.
Abstract:
In this work, local exchange potentials corresponding to the Hartree-Fock (HF) electron density have been obtained using the Zhao-Morrison-Parr method for a number of closed-shell confined atoms and ions. The exchange potentials obtained and the resulting density were compared with those given by the Becke-Johnson (BJ) model potential. It is demonstrated that introducing a scaling factor to the BJ potential allows improving the quality of the resulting density. The optimum scaling factor increases with decreasing confinement radius. The performance of Karasiev and Ludeña's SCα-LDA method as well as of the Becke-88 exchange potential for reproducing the HF electron densities in confined atoms has been also examined.
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