Journal of Global Optimization

, Volume 39, Issue 4, pp 483–494 | Cite as

New bounds for Morse clusters

Open Access
Original Paper


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.


Atom cluster Lower bounds Minimal distance Morse clusters 


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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  1. 1.Advanced Concepts TeamEuropean Space Agency, ESTECNoordwijkThe Netherlands
  2. 2.Fakultät für MathematikUniversität WienWienAustria

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