Cluster growing process and a sequence of magic numbers

Ilia A. Solov'yov, Andrey V. Solov'yov, Walter Greiner, Andrey Koshelev, Andrey Shutovich
Physical Review Letters
We present a new theoretical framework for modeling the cluster growing process. Starting from the initialtetrahedral cluster configuration, adding new atoms to the system, and absorbing its energy at each step, we find
cluster growing paths up to the cluster sizes of more than 100 atoms. We demonstrate that in this way all known
global minimum structures of the Lennard-Jones (LJ) clusters can be found. Our method provides an efficient tool
for the calculation and analysis of atomic cluster structure. With its use we justify the magic number sequence
for the clusters of noble gas atoms and compare it with experimental observations.