Exchange energy and potential using the Laplacian of the density

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dc.contributor.advisor Cancio, Antonio C.
dc.contributor.author Wagner, Christopher E.
dc.date.accessioned 2012-06-01T15:40:06Z
dc.date.available 2012-06-01T15:40:06Z
dc.date.created 2012-05-05
dc.date.issued 2012-05-05
dc.identifier.uri http://cardinalscholar.bsu.edu/handle/123456789/195955
dc.description.abstract The challenge of density functional theory is the useful approximation of the exchange - correlation energy. This energy can be approximated with the local electron density and the gradient of the density. Many different generalized gradient approximations (GGA) have been made recently and there is controversy over the best overall functional. Recent Monte Carlo simulations give evidence that the Laplacian of the density might be a better starting place than the gradient to correct the local density approximation. We have tested several Laplacian based GGA models for exchange for small atoms. We use known constraints on the exchange energy used in current GGA’s. In many models unphysical oscillations occur in the potential when using the Laplacian, and understanding and eliminating them is part of the focus of this research. We also find that mixing gradient and Laplacian seems to give a better result than only using one or the other.
dc.description.sponsorship Department of Physics and Astronomy
dc.subject.lcsh Density functionals
dc.subject.lcsh Electron distribution -- Mathematical models
dc.subject.lcsh Harmonic functions
dc.title Exchange energy and potential using the Laplacian of the density en_US
dc.description.degree Thesis (M.S.)
dc.identifier.cardcat-url http://liblink.bsu.edu/catkey/1671227


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  • Master's Theses [5293]
    Master's theses submitted to the Graduate School by Ball State University master's degree candidates in partial fulfillment of degree requirements.

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