Comparative evaluation of adsorption energy distribution functions obtained by analytical and numerical methods

Abstract

The adsorption energy distributions derived from the Adamson and Ling (AL), and the House and Jaycock HILDA numerical methods are compared with the Sips analytical solution, which is used as a benchmark for these numerical methods. Excellent agreement between the analytical and numerical methods is achieved provided that the isotherm data are measured over a wide range of adsorbate partial pressures, extending to near the saturation capacity. While a lack of accurate low-pressure data will merely result in an inaccurate energy distribution in the high-energy range, a lack of these high-pressure data may result in an entirely wrong energy distribution.