M. Kiessling

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physics.atm-clus2025

A note on the minimal pairwise distance in optimal Lennard-Jones $N$ -body clusters

Michael K. -H. Kiessling, David J. Wales

Good a-priori bounds on the smallest pairwise distance $r_{\rm{min}}(\mbox{LJ}_N^{\rm{gmin}})$ for a three-dimensional (3D) Lennard-Jones $N$ -body cluster of globally minimal energ…

physics.atm-clus2023

On the global minimum of the classical potential energy for clusters bound by many-body forces

Michael K. -H. Kiessling, David J. Wales

This note establishes, first of all, the monotonic increase with $N$ of the average $K$ -body energy of classical $N$ -body ground state configurations with $N \geq K$ monomers that i…

A note on the minimal pairwise distance in optimal Lennard-Jones N-body clusters

On the global minimum of the classical potential energy for clusters bound by many-body forces

A note on the minimal pairwise distance in optimal Lennard-Jones $N$ -body clusters