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Adsorption Isotherms I01:29

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...
Adsorption of Gases on Solids01:28

Adsorption of Gases on Solids

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...
Adsorption Isotherms II01:25

Adsorption Isotherms II

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...
Analyte Adsorption and Distribution01:09

Analyte Adsorption and Distribution

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...
Colloidal precipitates01:09

Colloidal precipitates

The high insolubility of some precipitates can result in an unfavorable relative supersaturation. This can lead to colloidal particles with a large surface-to-mass ratio, where adsorption is promoted. For instance, in the precipitation of silver chloride, silver ions are adsorbed on the surface of the colloidal particles, forming a primary layer. This layer attracts ions of opposite charge (such as nitrate ions), forming a diffuse secondary layer of adsorbed ions. This electric double layer...
Modified-Release Drug Delivery Systems: Stimuli-Activated01:30

Modified-Release Drug Delivery Systems: Stimuli-Activated

Stimuli-activated drug delivery systems are designed to release drugs in response to specific physical, chemical, or biological stimuli. These systems often utilize hydrogels—three-dimensional, hydrophilic polymer networks capable of swelling in aqueous environments and retaining significant fluid volumes. Upon exposure to particular stimuli, these hydrogels undergo structural transitions that allow the embedded drug to be released. Due to this adaptive behavior, such systems are also called...

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Related Experiment Video

Updated: Jul 16, 2026

Monitoring Protein Adsorption with Solid-state Nanopores
08:51

Monitoring Protein Adsorption with Solid-state Nanopores

Published on: December 2, 2011

Random sequential adsorption of shrinking or expanding particles.

Arsen V Subashiev1, Serge Luryi

  • 1Department of Electrical and Computer Engineering, State University of New York at Stony Brook, Stony Brook, New York 11794-2350, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 16, 2007
PubMed
Summary

This study models irreversible adsorption where particles change size upon adsorption. Exact solutions reveal how size changes impact fill factor and particle number variance.

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Area of Science:

  • Physical Chemistry
  • Statistical Mechanics
  • Surface Science

Background:

  • Irreversible adsorption is a fundamental surface process.
  • Particle size dynamics influence adsorption behavior.
  • Modeling these changes is crucial for understanding surface phenomena.

Purpose of the Study:

  • To develop a model for one-dimensional irreversible adsorption with particle size changes.
  • To derive exact solutions for adsorption dynamics.
  • To compare exact solutions with approximations.

Main Methods:

  • Development of a theoretical model for irreversible adsorption.
  • Analytical derivation of exact solutions for fill factor and particle number variance.
  • Comparison of exact results with approximate analytical solutions.

Main Results:

  • Exact solutions for fill factor and particle number variance were obtained as functions of particle size change.
  • The study quantifies the impact of particle size modification on adsorption.
  • Discrepancies between exact and approximate solutions were analyzed.

Conclusions:

  • The presented model provides an exact description of irreversible adsorption with particle size changes.
  • The findings offer insights into the role of particle dynamics in surface processes.
  • This work validates and contrasts approximate analytical methods.