- Improved bounds for interatomic distance in Morse clusters bernardetta addis (addiselet.polimi.it) Werner Schachinger (Werner.Schachingerunivie.ac.at) Abstract: We improve the best known lower bounds on the distance between two points of a Morse cluster in $\mathbb{R}^3$, with $\rho \in [4.967,15]$. Our method is a generalization of the one applied to the Lennard-Jones potential in~\cite{Schac}, and it also leads to improvements of lower bounds for the energy of a Morse cluster. Some of the numerical results have been announced in~\cite{AS}. Keywords: minimum distance, Morse potential Category 1: Global Optimization Category 2: Global Optimization (Theory ) Citation: http://dx.doi.org/10.1016/j.orl.2009.03.003 Download: Entry Submitted: 10/02/2008Entry Accepted: 10/14/2008Entry Last Modified: 03/30/2009Modify/Update this entry Visitors Authors More about us Links Subscribe, Unsubscribe Digest Archive Search, Browse the Repository Submit Update Policies Coordinator's Board Classification Scheme Credits Give us feedback Optimization Journals, Sites, Societies Optimization Online is supported by the Mathematical Programming Society and by the Optimization Technology Center.