“…This average adsorbate binding energy is the chemical potential of adsorbates anchored to the surface relative to the chemical potential of a gas-phase reservoir . The average adsorbate binding energy comprises of the interaction between the adsorbate and a particular active site (binding energy of a single adsorbate) and lateral interactions between the adsorbates (differential binding energy). , Although the lateral interactions between adsorbates are generally weaker than the interactions between adsorbates and surfaces, these interactions can influence the adsorption/desorption energies, the stability of transition states, , and catalytic turnovers. ,, The lateral interactions between adsorbates have been captured explicitly by cluster expansion or Ising type formalisms, − ,, linear, polynomial, ,, exponential, , or other discrete ,,, functions of adsorbate coverage. The DFT-parametrized lattice gas cluster expansion has been successfully applied to small adsorbates (O*, ,, H*, CO*, NO*, H 2 O*, etc.)…”