Kelvin equation-based scaling model for pore-size estimation in mesoporous materials

Abstract

Abstract In this paper we consider the phase equilibrium state of a fluid confined within a mesoporous controlled cylindrical pore medium. We begin with finding a meniscus shape in the limit of the smoothest curvature variation, for which the curvature radius is the only parameter to define the meniscus dimensions. Then the scaling law is established connecting the meniscus curvature and the pore radius, thus allowing us to create a one-parameter model for finding a pore radius when a meniscus curvature radius is known. Simultaneous use of the model with our previously developed one makes it possible to calculate the pore size on the basis of P/P 0 information from the adsorption isotherm.