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We show that there is a family of adsorbate-substrate systems that do not follow the trends in adsorption energies predicted by the -band model. A physically transparent model is used to analyze this phenomenon. We found that these adsorbate-substrate pairs are characterized by the repulsive interaction of the substrate -band with the renormalized adsorbate states. The exceptions to the -band model are mainly associated with the adsorbates having almost completely filled valence shell, and the substrates with nearly fully occupied -band, e.g., OH, F, or Cl adsorption on metals and alloys characterized by or substrate surface atoms.


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