“…As can be seen from this figure, the exponent a increases up to unity with an increase in temperature. This result has been confirmed by the analysis of other literature data (Giustiniani et al, 1995b) and supports the hypothesis that the interplay between energetic heterogeneity and size effects is the origin of a Freundlich behavior observed at low pressures.…”
Section: Thermodynamic Consistencysupporting
confidence: 88%
“…The solid line represents the linear fit ~T proposed by Rudzinski and Everett. The analysis of other experimental data (Giustiniani et al, 1995b) and the results of Monte Carlo simulations (see section 5) do not confirm this linear behavior.…”
Section: Thermodynamic Consistencymentioning
confidence: 82%
“…According to eq 14, the ratio a,/aT should be independent of the temperature. The experimental validation of this conjecture is discussed by Giustiniani et al (1995b).…”
“…As can be seen from this figure, the exponent a increases up to unity with an increase in temperature. This result has been confirmed by the analysis of other literature data (Giustiniani et al, 1995b) and supports the hypothesis that the interplay between energetic heterogeneity and size effects is the origin of a Freundlich behavior observed at low pressures.…”
Section: Thermodynamic Consistencysupporting
confidence: 88%
“…The solid line represents the linear fit ~T proposed by Rudzinski and Everett. The analysis of other experimental data (Giustiniani et al, 1995b) and the results of Monte Carlo simulations (see section 5) do not confirm this linear behavior.…”
Section: Thermodynamic Consistencymentioning
confidence: 82%
“…According to eq 14, the ratio a,/aT should be independent of the temperature. The experimental validation of this conjecture is discussed by Giustiniani et al (1995b).…”
“…An extensive analysis of literature data interpreted according to the Keller model , showed a behavior of the Freundlich exponent which is qualitatively in agreement with other experimental results − in terms both of the temperature dependence of the Freundlich exponent (which increases with temperature) and of its dependence on the size of the admolecules (the Freundlich exponent increases with the size of the admolecules). The latter result is a consequence in the Keller model of the fractal hypothesis, since the Freundlich exponent α i for the i th species is related by the Avnir−Pfeifer scaling law of the monolayer coverage n ∞ , i to adparticle size where r i is the radius of the admolecules and D the fractal dimension of the adsorbent.…”
Section: Introductionsupporting
confidence: 88%
“…See for example the data reported in ref by Baker and Fox, showing a linear temperature dependence of the exponent α for xenon and krypton adsorbed on Pyrex and nickel films in ultrahigh vacuum at low temperature 77−90 K and the data of Trapnell, of carbon monoxide adsorbed on charcoal. An increasing temperature dependence of α has also been found by Giustiniani et al in the analysis of experimental adsorption data by means of the Keller model. 3 Freundlich exponent α vs ε m = E max / k B T ( E max = 6.9 a.u.)…”
Section: Mean-field Analysis and Clustering Effectssupporting
This article focuses on the clustering effects of admolecules driven by surface diffusion in a heterogeneous energy landscape as a mechanism for Freundlich behavior at low pressures. The idealized preferential adsorption model is presented and the phenomenology of this model is justified in terms of surface diffusion (preferential adsorption model, PAM). Mean field analysis and Monte Carlo simulation of PAM are analyzed. The effects of temperature and of patchwise distributions of adsorption energies are discussed.
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