Quantitative description for turnover frequency dependence on the metal cluster size for a two-step catalytic cycle was performed based on a thermodynamic approach, which accounts for changes of the chemical potential upon adsorption depending on the metal cluster size. Such analysis revealed a possibility for turnover frequency to exhibit a maximum. A very good correspondence between calculated and experimental data in hydrogenation and decarboxylation reactions over palladium was achieved.
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Murzin et al. (2010) studied this question.
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