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| - Mathematical Description of Constrained BET-likeAdsorption and Its Approximation with LgBET and LcBETFormulas
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| - The paper develops a mathematical description of constrained BET-like adsorption of small nearlyspherical molecules in microporous materials. Possible formation of adsorbate clusters more compact thanBET stacks (implying non-BET configurational effects) and constraints for the cluster size are taken intoaccount. A rigorous mathematical model based on the BET approach and fundamental thermodynamicsis written in a recurrent form and analyzed from a formal side. It gives an insight into links between poregeometry and shape of isotherms at high-pressure range. A general modeling scheme of the constrainedmultilayer adsorption is shown. A new approximation of the rigorous model aimed at examination ofmicroporous systems in wide pressure range is proposed (LcBET formula). An attempt to handle adsorptionpeculiarities at the highest relative pressure (condensation point) is also made. The new LcBET formulacovers an inadequacy area of the models published before (LBET and LgBET). It can provide quantitativeinformation on a shape and size of pores, if high-pressure adsorption data are available. Exemplary resultsof the model application to analysis of N2 adsorption on synthetic activated carbons are discussed.
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