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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...
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...

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Related Experiment Video

Updated: May 16, 2026

Monitoring Protein Adsorption with Solid-state Nanopores
08:51

Monitoring Protein Adsorption with Solid-state Nanopores

Published on: December 2, 2011

Nanosize pattern formation in overdamped stochastic reaction-diffusion systems with interacting adsorbate.

Vasyl O Kharchenko1, Dmitrii O Kharchenko

  • 1Institute of Applied Physics, National Academy of Sciences of Ukraine, 58 Petropavlivska St., 40000 Sumy, Ukraine. vasiliy@ipfcentr.sumy.ua

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2012
PubMed
Summary
This summary is machine-generated.

Internal noise in surface reaction models drives phase transitions between ordered and disordered states. Noise intensity controls pattern formation, leading to nanometer-scale structures and influencing their periodicity and correlation radius.

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Last Updated: May 16, 2026

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Area of Science:

  • Surface science
  • Chemical kinetics
  • Statistical physics

Background:

  • Studying adsorption/desorption processes with nonequilibrium chemical reactions on surfaces is crucial for understanding material properties.
  • Stochastic models are essential for describing complex surface phenomena influenced by random fluctuations.

Purpose of the Study:

  • To investigate the role of internal noise in governing phase transitions in surface reaction models.
  • To characterize the influence of noise intensity on the formation and properties of spatial patterns.

Main Methods:

  • Utilized an overdamped stochastic model to simulate surface adsorption/desorption processes.
  • Analyzed the system's behavior under varying internal noise intensities, focusing on the fluctuation-dissipation relation.

Main Results:

  • Identified noise-driven transitions between ordered (dense/diluted) and disordered phases.
  • Observed increased fluctuations and correlation radius during phase transitions.
  • Demonstrated that stationary patterns are on the nanometer scale and their periodicity/correlation radius depend on noise intensity.

Conclusions:

  • Internal noise is a key factor in controlling phase transitions and pattern formation in surface chemical reactions.
  • The study provides insights into the relationship between noise, spatial organization, and material properties at the nanoscale.