@article {249066,
title = {Minimal Energy Clusters of Hard Spheres with Short Range Attractions},
journal = {Physical Review Letters},
volume = {103},
number = {11},
year = {2009},
pages = {118303-4},
abstract = {We calculate the ground states of hard-sphere clusters, in which n identical hard spherical particles bind by isotropic short-ranged attraction. Combining graph theoretic enumeration with basic geometry, we analytically solve for clusters of n\<=10 particles satisfying minimal rigidity constraints. For n\<=9 the ground state degeneracy increases exponentially with n, but for n\>9 the degeneracy decreases due to the formation of structures with \>3n-6 contacts. Interestingly, for n=10 and possibly at n=11 and n=12, the ground states of this system are subsets of hexagonal close-packed crystals. The ground states are not icosahedra at n=12 and n=13. We relate our results to the structure and thermodynamics of suspensions of colloidal particles with short-ranged attractions.},
url = {http://dx.doi.org/10.1103/PhysRevLett.103.118303},
author = {Natalie Arkus and Vinothan N. Manoharan and Brenner, Michael P}
}