Global Optimization by Basin-Hopping and the Lowest Energy Structures of Lennard-Jones Clusters Containing up to 110 Atoms

1997/07/01 by David J. Wales, David Wales, Jonathan Doye +1 · 25 citations
Biochemistry, Genetics and Molecular Biology · Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Physical and Chemical Molecular Interactions #Protein Structure and Dynamics #cond-mat #physics.atm-clus

paper · pdf · doi:10.1021/jp970984n

published as J. Phys. Chem. A 101, 5111-5116 (1997) · 8 pages, 3 figures, revtex

openalex publication_date 1997/07/01 · arxiv created 1998/03/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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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