Global optimization by basin-hopping and the lowest energy structures of Lennard-Jones clusters containing up to 110 atoms

We describe a global optimization technique using "basin-hopping" in which the potential energy surface is transformed into a collection of interpenetrating staircases. This method has been designed to exploit the features that recent work suggests must be present in an energy landscape fo...

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Main Authors: Wales, D, Doye, J
Format: Journal article
Published: 1997
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author Wales, D
Doye, J
author_facet Wales, D
Doye, J
author_sort Wales, D
collection OXFORD
description We describe a global optimization technique using "basin-hopping" in which the potential energy surface is transformed into a collection of interpenetrating staircases. This method has been designed to exploit the features that recent work suggests must be present in an energy landscape for efficient relaxation to the global minimum. The transformation associates any point in configuration space with the local minimum obtained by a geometry optimization started from that point, effectively removing transition state regions from the problem. However, unlike other methods based upon hypersurface deformation, this transformation does not change the global minimum. The lowest known structures are located for all Lennard-Jones clusters up to 110 atoms, including a number that have never been found before in unbiased searches.
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spelling oxford-uuid:6a36a972-20a7-4173-9943-f90f45c37a2c2022-03-26T18:55:57ZGlobal optimization by basin-hopping and the lowest energy structures of Lennard-Jones clusters containing up to 110 atomsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6a36a972-20a7-4173-9943-f90f45c37a2cSymplectic Elements at Oxford1997Wales, DDoye, JWe describe a global optimization technique using "basin-hopping" in which the potential energy surface is transformed into a collection of interpenetrating staircases. This method has been designed to exploit the features that recent work suggests must be present in an energy landscape for efficient relaxation to the global minimum. The transformation associates any point in configuration space with the local minimum obtained by a geometry optimization started from that point, effectively removing transition state regions from the problem. However, unlike other methods based upon hypersurface deformation, this transformation does not change the global minimum. The lowest known structures are located for all Lennard-Jones clusters up to 110 atoms, including a number that have never been found before in unbiased searches.
spellingShingle Wales, D
Doye, J
Global optimization by basin-hopping and the lowest energy structures of Lennard-Jones clusters containing up to 110 atoms
title Global optimization by basin-hopping and the lowest energy structures of Lennard-Jones clusters containing up to 110 atoms
title_full Global optimization by basin-hopping and the lowest energy structures of Lennard-Jones clusters containing up to 110 atoms
title_fullStr Global optimization by basin-hopping and the lowest energy structures of Lennard-Jones clusters containing up to 110 atoms
title_full_unstemmed Global optimization by basin-hopping and the lowest energy structures of Lennard-Jones clusters containing up to 110 atoms
title_short Global optimization by basin-hopping and the lowest energy structures of Lennard-Jones clusters containing up to 110 atoms
title_sort global optimization by basin hopping and the lowest energy structures of lennard jones clusters containing up to 110 atoms
work_keys_str_mv AT walesd globaloptimizationbybasinhoppingandthelowestenergystructuresoflennardjonesclusterscontainingupto110atoms
AT doyej globaloptimizationbybasinhoppingandthelowestenergystructuresoflennardjonesclusterscontainingupto110atoms