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A method is introduced for evaluating the adsorption probability as a function of surface coverage within the context of a lattice gas model. We delineate the methodology by considering dissociative adsorption for which nearest-neighbor empty surface sites are required. For direct, dissociative adsorption a dynamical Monte Carlo simulation algorithm is used to evaluate the spatial correlation between adsorbates as surface coverage increases over time. The influence on the probability caused by these spatial correlations between adsorbates due to lateral interactions between adsorbates and mobility of the adsorbate are evaluated exactly from Monte Carlo simulations. For precursor-mediated adsorption, Monte Carlo simulations combined with an approximate continuum equation have been used to describe the coverage-dependent adsorption probability. The effects of lateral interactions between adsorbates, lattice geometry, and precursor states on the scaling of the coverage-dependent adsorption probability are quantified using various representative parameters.
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Meng et al. (1995) studied this question.
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