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Adsorption Isotherms I

Adsorption Isotherms I

Adsorption isotherms are mathematical models that describe how molecules in a gas or liquid phase interact with surfaces. Two of the most common isotherm models are the Langmuir and Freundlich isotherms, which relate to Type I monolayer chemisorption. The Langmuir model is based on four key assumptions:• Adsorption cannot exceed monolayer coverage.• All surface sites are equivalent.• Molecules adsorb only at vacant sites.• There are no interactions between adsorbed molecules.Consider the...

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Brunauer, Emmett, and Teller (BET) introduced a theory in 1938 that modified Langmuir's assumptions to explain multilayer physical adsorption. This theory is applicable to Type II isotherms and provides a more realistic picture of adsorption processes. The BET theory assumes a uniform solid surface with localized adsorption sites, where adsorption at one site doesn't affect adsorption at neighboring sites. This theory also allows for the possibility of additional molecules being adsorbed on top...

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Adsorption is a process where molecules, known as the adsorbates, accumulate on a surface, which is referred to as the adsorbent or substrate. Occurring at the solid-gas interface, this phenomenon is crucial in various scientific and industrial contexts. The reverse of adsorption is desorption.Two types of adsorptions exist: physical (physisorption) and chemical (chemisorption). Physisorption involves gas molecules held to the solid's surface by relatively weak intermolecular van der Waals...

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In certain chromatographic separations, solutes transfer between the mobile phase and the stationary phase via sorption, which typically refers to the process of adsorption. For many chromatographic systems, the sorption process often depends on the polarity of the compounds—an expression of the overall dipole moment within the molecule. During the separation process, there is competition between the solute and solvent for adsorption to the stationary phase. Highly polar compounds and solvents...

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Related Experiment Video

Updated: May 19, 2026

Monitoring Protein Adsorption with Solid-state Nanopores

Monitoring Protein Adsorption with Solid-state Nanopores

Published on: December 2, 2011

Random sequential adsorption on fractals.

Michal Ciesla¹, Jakub Barbasz

¹M. Smoluchowski Institute of Physics, Jagiellonian University, 30-059 Krakow, Reymonta 4, Poland. michal.ciesla@uj.edu.pl

The Journal of Chemical Physics

|August 3, 2012

Summary

This summary is machine-generated.

This study models sphere adsorption on fractal surfaces using random sequential adsorption (RSA). Results show fractal dimension influences coverage and that dimensional properties hold for non-integer dimensions.

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Area of Science:

Surface Science
Physical Chemistry
Materials Science

Background:

Irreversible adsorption is crucial for surface phenomena.
Understanding adsorption on complex geometries is challenging.
Fractal surfaces offer unique properties for adsorption studies.

Purpose of the Study:

To investigate irreversible adsorption of spheres on fractal collectors.
To analyze the impact of fractal dimension on adsorption properties.
To validate existing adsorption models for non-integer dimensions.

Main Methods:

Numerical modeling using the random sequential adsorption (RSA) algorithm.
Simulation of adsorption on Sierpinski triangles, carpet-like fractals, and Cantor sets.
Measurement of maximal random coverage ratio and density autocorrelation function.

Main Results:

Maximal random coverage ratio is dependent on collector fractal dimension.
RSA kinetics were characterized for various fractal geometries.
Established dimensional properties of adsorbed monolayers are generally applicable to non-integer dimensions.

Conclusions:

The study provides insights into adsorption phenomena on fractal surfaces.
Phenomenological relations for maximal random coverage can be improved.
Fractal geometry significantly influences adsorption behavior and properties.