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The reflectivity of low energy electrons from graphene on copper substratesis studied both experimentally and theoretically. Well-known oscillations inthe reflectivity of electrons with energies 0 - 8 eV above the vacuum level areobserved in the experiment. These oscillations are reproduced in theory, basedon a first-principles density functional description of interlayer statesforming for various thicknesses of multilayer graphene. It is demonstrated thatn layers of graphene produce a regular series of n-1 minima in the reflectancespectra, together with a possible additional minimum associated with aninterlayer state forming between the graphene and the substrate. Both (111) and(001) orientations of the copper substrates are studied. Similarities in theirreflectivity spectra arise from the interlayer states, whereas differences arefound because of the different Cu band structures along those orientations.Results for graphene on other substrates, including Pt(111) and Ir(111), arealso discussed.

Low-Energy Electron Reflectivity of Graphene on Copper and other Substrates