Abstract
The effect of the size factor upon the adsorption of noninteracting molecules on microscopic particles was studied. The adsorption process was considered in a large canonical ensemble for highly dispersed crystalline particles on particles of different size. The role of the size of a surface region containing a number of adsorption centers on the facet over the range of 10 to 105 was studied, as was the effect of fluctuations in the density of adsorbed molecules on the adsorption isotherm. The problem of calculating the fluctuations in heterogeneous systems describing adsorption on different facets of microparticles that differ in the energies of binding between molecules and the surface was discussed. The strongest effect of density fluctuations was observed at low fillings of each facet of a particle. We concluded that the mean-square functions are of oscillating nature at any particle size as the overall filling of the surface increases. An approach refining the description of adsorption on microparticles by taking into account the effect of fluctuations on the maximum value of the distribution function was formulated.
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