Estimation of pore sizes in nanoporous materials by argon capillary condensation: the scaling approach

¹ Kamyshin Technological Institute (branch) of Volgograd State Technical University, Department of Natural Sciences, Faculty of Industrial Technologies, Lenina str. 6a, 403874, Kamyshin, Volgograd Region, Russia
² Saint Petersburg University of the Humanities and Social Sciences, Fuchika str. 15, 192238, Saint Petersburg, Russia
³ Synergy University, Moskovsky Ave. 107 bldg.4, 196084, Saint Petersburg, Russia

^* Corresponding author: antonvaleev@gmail.com

Abstract

This work is aimed to develop a model for predicting pore sizes in nanoporous materials using argon as a test fluid over a wide range of temperatures. The model is based on the universal form of the Kelvin equation and accounts for the difference in vapor pressure between the center of the condensation meniscus and in bulk. For the first time, a scaling model was applied to build a two-parameter model for pore size prediction using argon capillary condensation data. A multiparametric approximation was created for convenient direct pore size calculation. The findings of this study have important implications for the design and optimization of mesoporous materials for various applications, including gas storage, catalysis, and separation. The developed model provides a more accurate and reliable method for characterizing nanoporous materials, enabling better prediction of pore sizes at different temperatures.