A grid-free density-functional method and its application to inversion, torsion, and reaction potential energy surfaces

We have implemented a new grid-free density-functional technique for exchange-correlation potentials of $\rho\sp{1/3}$ form (X$\alpha$ potentials). The nonanalytic potential is fitted to integrable functions by solving a set of nonlinear equations, rather than by fitting on a three-dimensional grid...

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Main Author: Werpetinski, Katrina Su
Language:ENG
Published: ScholarWorks@UMass Amherst 1996
Subjects:
Online Access:https://scholarworks.umass.edu/dissertations/AAI9709667
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spelling ndltd-UMASS-oai-scholarworks.umass.edu-dissertations-28162020-12-02T14:29:01Z A grid-free density-functional method and its application to inversion, torsion, and reaction potential energy surfaces Werpetinski, Katrina Su We have implemented a new grid-free density-functional technique for exchange-correlation potentials of $\rho\sp{1/3}$ form (X$\alpha$ potentials). The nonanalytic potential is fitted to integrable functions by solving a set of nonlinear equations, rather than by fitting on a three-dimensional grid of points. This completely analytical method produces smooth energy surfaces and exact energy gradients. The method is found to be several times faster computationally in single-point calculations than a comparable grid-based method with a moderate number of grid points and to be more than an order of magnitude faster for geometry optimizations. The performance of the method is demonstrated on the umbrella inversion of ammonia (NH$\sb3),$ the isoelectronic series of ethane $\rm(C\sb2H\sb6),$ hydrazine $\rm(N\sb2H\sb4),$ and hydrogen peroxide $\rm(H\sb2O\sb2),$ and the water-gas shift reaction (WGSR: $\rm CO+H\sb2O\to CO\sb2+H\sb2).$ 1996-01-01T08:00:00Z text https://scholarworks.umass.edu/dissertations/AAI9709667 Doctoral Dissertations Available from Proquest ENG ScholarWorks@UMass Amherst Chemical engineering
collection NDLTD
language ENG
sources NDLTD
topic Chemical engineering
spellingShingle Chemical engineering
Werpetinski, Katrina Su
A grid-free density-functional method and its application to inversion, torsion, and reaction potential energy surfaces
description We have implemented a new grid-free density-functional technique for exchange-correlation potentials of $\rho\sp{1/3}$ form (X$\alpha$ potentials). The nonanalytic potential is fitted to integrable functions by solving a set of nonlinear equations, rather than by fitting on a three-dimensional grid of points. This completely analytical method produces smooth energy surfaces and exact energy gradients. The method is found to be several times faster computationally in single-point calculations than a comparable grid-based method with a moderate number of grid points and to be more than an order of magnitude faster for geometry optimizations. The performance of the method is demonstrated on the umbrella inversion of ammonia (NH$\sb3),$ the isoelectronic series of ethane $\rm(C\sb2H\sb6),$ hydrazine $\rm(N\sb2H\sb4),$ and hydrogen peroxide $\rm(H\sb2O\sb2),$ and the water-gas shift reaction (WGSR: $\rm CO+H\sb2O\to CO\sb2+H\sb2).$
author Werpetinski, Katrina Su
author_facet Werpetinski, Katrina Su
author_sort Werpetinski, Katrina Su
title A grid-free density-functional method and its application to inversion, torsion, and reaction potential energy surfaces
title_short A grid-free density-functional method and its application to inversion, torsion, and reaction potential energy surfaces
title_full A grid-free density-functional method and its application to inversion, torsion, and reaction potential energy surfaces
title_fullStr A grid-free density-functional method and its application to inversion, torsion, and reaction potential energy surfaces
title_full_unstemmed A grid-free density-functional method and its application to inversion, torsion, and reaction potential energy surfaces
title_sort grid-free density-functional method and its application to inversion, torsion, and reaction potential energy surfaces
publisher ScholarWorks@UMass Amherst
publishDate 1996
url https://scholarworks.umass.edu/dissertations/AAI9709667
work_keys_str_mv AT werpetinskikatrinasu agridfreedensityfunctionalmethodanditsapplicationtoinversiontorsionandreactionpotentialenergysurfaces
AT werpetinskikatrinasu gridfreedensityfunctionalmethodanditsapplicationtoinversiontorsionandreactionpotentialenergysurfaces
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