Density-functional calculations of icosahedral M13 (MÂ =Â Pt and Au) clusters on graphene sheets and flakes

Density-functional calculations were done to examine the interface between graphene and a Pt13 or Au13 cluster. Introducing a carbon vacancy into a graphene sheet enhanced the interaction between graphene and the metal clusters. Five- or seven-member rings introduced into the graphene also increased the stability of the interface. The CO and H chemisorption energies on the metal clusters on graphene were calculated to clarify support-dependent reactivity.