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Tetrahedral global minimum for the 98-atom Lennard-Jones cluster

Robert H. Leary and Jonathan P. K. Doye
Phys. Rev. E 60, R6320(R) – Published 1 December 1999
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Abstract

An unusual atomic cluster structure corresponding to the global minimum of the 98-atom Lennard-Jones cluster has been found using a variant of the basin-hopping global optimization algorithm. The structure has tetrahedral symmetry and an energy of 543.665361ε, which is 0.022404ε lower than the previous lowest-energy minimum. The LJ98 structure is of particular interest because its tetrahedral symmetry establishes it as one of only three types of exception to the general pattern of icosahedral structural motifs for optimal LJ microclusters. Similar to the other exceptions the global minimum is difficult to find because it is at the bottom of a narrow funnel that only becomes thermodynamically most stable at low temperature.

  • Received 11 August 1999

DOI:https://doi.org/10.1103/PhysRevE.60.R6320

©1999 American Physical Society

Authors & Affiliations

Robert H. Leary

  • San Diego Supercomputer Center, University of California, San Diego, San Diego, California 92138

Jonathan P. K. Doye

  • University Chemical Laboratory, Lensfield Road, Cambridge CB2 IEW, United Kingdom

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Vol. 60, Iss. 6 — December 1999

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