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We show that nanoparticles can have very rich ground state chemical order.This is illustrated by determining the chemical ordering of Ag-Au 309-atomMackay icosahedral nanoparticles. The energy of the nanoparticles is describedusing a cluster expansion model, and a Mixed Integer Programming (MIP) approachis used to find the exact ground state configurations for all stoichiometries.The chemical ordering varies widely between the different stoichiometries, anddisplay a rich zoo of structures with non-trivial ordering.

Rich Ground State Chemical Ordering in Nanoparticles: Exact Solution of a Model for Ag-Au Clusters