Two-dimensional materials on metallic surfaces can form a variety of moiré superstructures due to interfacial lattice parameter and/or symmetry mismatch. Due to its peculiar electronics properties, graphene is one of the most studied two-dimensional materials of the last years . In order to simulate this kind of systems it is crucial to find an accurate method to identify the primitive supercell of the superlattices. Starting from an already known result in literature, given two generic Bravais lattices together with their misiorentation, we are going to show how to determine the primitive supercell of the superlattice originated. The result of our model is a set of equations that are going to determine the moiré relations under which we have the moiré superstructures formation. Finally, to prove the validity of our model, we apply our moiré conditions to the specific case an hexagonal lattice over a square lattice for the particular system of graphene and Ni(001) surface.
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