Adsorption model Guggenheim approach

Statistical Thermodynamic Isotherm Models. These approaches were pioneered by Fowler and Guggenheim (21) and Hill (22). Examples of the appHcation of this approach to modeling of adsorption in microporous adsorbents are given in references 3, 23—27. Excellent reviews have been written (4,28). 

The statistical approach to adsorption, which was developed largely by Fowler and Guggenheim and Hill, depends on representing the adsorbed species in terms of a simplified physical model for which the appropriate expression for the partition function may be derived. The thermodynamic properties are then obtained using the established relationships between the partition functions and the classical thermodynamic properties. A brief summary of some of the more important relationships is given in Appendix A. 

The Langmuir approach was a starting point for developing the more realistic formalism in the framework of the lattice gas theories based on the Ising model [24]. It seems intuitively obvious that the lattice gas model is well suited for representing localized adsorption. The adsorbed phase is considered a two-dimensional lattice gas. The most popular isotherm involving molecular interaction effects is the Fowler-Guggenheim equation [25]... 

---