Noninteractive adsorption

The problem of the theoretical description of biopolymer water adsorption isotherms has drawn the attention of researchers for a long time. In the works [19], [20] a rigorous statistical basis for equations describing the isotherms for the case of homogeneous adsorption surfaces and noninteracting adsorption sites of N different types has been suggested. The general equation is ... 

The active site for type I hydrogen adsorption appears to consist of isolated, noninteracting Zn—O pair sites which are not affected by the oxida-... 

In these equations, a, n, a, and fi are constants. Adsorption of noninteracting molecules on top of each other to form multiple layers leads to the BET isotherm (Brunnauer, Emmett, and Teller). 

Model MUSIC is based on noninteracting patch type distribution of the adsorption sites. This model attributes different alkali acid properties to hydroxyl groups, depending on the amount of coordinated metal atoms to the different crystal faces [126]. 

Let 0(P,T) be the observed adsorption function, usually obtained as 0(F) — i.e., as an adsorption isotherm. It is assumed that the adsorbent surface can be treated as consisting of noninteracting regions, each of which can be considered as homogeneous in nature and obeying a local adsorption isotherm, 0(P), or, in general, an adsorption function. 0(P>T,Q), where Q denotes the adsorbent... 

Monte Carlo isotherms of interacting and noninteracting dimers on a square lattice have been interpreted in terms of the new isotherm proposed in eq. (8). w and g were assumed as fitting parameters of our analysis and k=2 since data correspond to dimer adsorption. 

Regarding with k-mer multilayer adsorption in two dimension, we propose an approximation to the adsorption isotherm based on the recently developed Occupation Balance approach (OB) [6]. In the simplest case of k=2, the monolayer isotherm for noninteracting dimers adsorbed on a square lattice can be written as. 

Langmuir derived a different adsorption isotherm by assuming that adsorption is terminated upon completion of a monomolecular adsorbed gas layer [43]. He did this by asserting that any gas molecule that strikes an adsorbed atom must reflect from the surface. All the other assumptions (i.e., homogeneous surface and noninteracting adsorbed species) used to obtain Eq. 3.85 were also maintained. If oq is the surface coverage of a completely covered surface, the concentration of surface sites available for adsorption, after adsorbing a molecules, is ao — a. Of the total flux F incident on the surface, a fraction [(a/incident flux will be available for adsorption. Equation 2.84 should thus be modified as... 

For noninteracting adsorbates [36], the rate of adsorption of gas-phase species, r, can be written as... 

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