  Lattices of Ir clusters have been grown by vapor phase deposition on graphene
moir\'{e}s on Ir(111). The clusters are highly ordered, spatially and thermally
stable below 500K. Their narrow size distribution is tunable from 4 to about
130 atoms. A model for cluster binding to the graphene is presented based on
scanning tunneling microscopy and density functional theory. The proposed
binding mechanism suggests that similar cluster lattices might be grown of
materials other than Ir.
