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This paper focuses on the performance of the storage of Li and the stability of the hybrid structure of different lattice planes of the silicon clusters and graphene by the first-principle theory. In this paper, we calculate the binding energy, adsorption energy and PDOS of the hybrid structure of the different height and size of the silicon clusters and graphene. We figure out that there can form strong Si-C bonds between the silicon cluster and graphene. Especially, the hybrid structure of the silicon clusters with plane (111) and graphene performs best with the highest formation energy and the outstanding stability. According to the calculation of Li absorption energy, we conclude that the location of the silicon cluster near the graphene has higher possibility and higher absorption energy of the Li storage, with the reason that the charge transfer between the lithium and the carbon and the silicon. Because of the graphene used, the deformation of the interface of the silicon clusters can be obviously reduced during the absorption of Li, which brings about a good future for the hybrid structure using for the battery anode materials.

First-principles study on the Li-storage performance of silicon clusters and graphene composite structure