Minimal Energy Clusters of Hard Spheres with Short Range Attractions
MetadataShow full item record
CitationArkus, Natalie, Vinothan N. Manoharan, Michael P. Brenner. 2009. Minimal energy clusters of hard spheres with short range attractions. Physical Review Letters 103(11): 118303.
AbstractWe 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<or=10 particles satisfying minimal rigidity constraints. For n<or=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.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:3443104
- FAS Scholarly Articles