Abstract
This paper presents new, simple arguments improving the lower bounds for the total energy and the minimal inter-particle distance in minimal energy atom cluster problems with interactions given by a Morse potential, where the atom separation problem is difficult due to the finite energy at zero atom separation. Apart from being sharper than previously known bounds, they also apply for a wider range ρ ≥ 4.967 of the parameter in the Morse potential. Most results also hold for more general pair potentials.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License ( https://creativecommons.org/licenses/by-nc/2.0 ), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Vinkó, T., Neumaier, A. New bounds for Morse clusters. J Glob Optim 39, 483–494 (2007). https://doi.org/10.1007/s10898-007-9151-3
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DOI: https://doi.org/10.1007/s10898-007-9151-3