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Our calculated vacancy formation energy of 1.49 eV is similar to that calculated for Rh(111)\, 1.32 eV, in the same (Formula presented) arrangement by H. M. Polatoglou, M. Methfessel, and M. Scheffler, Phys. Rev. B 48, 1877 (1993). Rh and Pt should have similar vacancy formation energies because their cohesive energies are comparable (5.84 eV for Pt and 5.75 eV for Rh). Polatoglou et al. also calculate the Rh bulk vacancy formation energy, which is 2.26 eV and should be a good estimate for Pt.
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In the case of substitutional adsorption of Na on Al(111)\ it has been found that Na adatoms prefer vacancies at steps to vacancies on flat Al(111)\ by about 0.5 eV. This difference includes the vacancy formation energy difference. Thus it is not surprising that the (Formula presented) vacancy reconstruction starts to form at steps according to H. Brune, J. Wintterlin, R.J. Behm, and G. Ertl, Phys. Rev. B 51, 13 592 (1995).
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