Exact statistical mechanical treatment of benzene adsorption in a zeolite twin-pore one-dimensional lattice model

An exact matrix calculation of the statistical mechanics of a lattice model of benzene adsorption in silicalite modelled as two types of quasi one-dimensional pores is presented. The calculation reproduces the experimentally observed two steps in the level of adsorption with rising pressure and also satisfactorily gives the essential features of the loading dependence of the heat of adsorption.