Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

The Electrical Double Layer

The Electrical Double Layer

In the region where two bulk phases meet, an intricate electric charge distribution arises due to charge transfer, ion adsorption, molecular orientation, and charge distortion. This complex distribution is commonly referred to as the electrical double layer.When a solid electrode interfaces with ions in an electrolyte solution, the speed of electron transfer dictates the rates of oxidation and reduction. The electrode acquires a charge through the escape of atoms into the solution as cations or...

Electrostatic Boundary Conditions in Dielectrics

Electrostatic Boundary Conditions in Dielectrics

When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.

The Debye–Hückel Theory of Electrolyte Solutions

The Debye–Hückel Theory of Electrolyte Solutions

The Debye–Hückel theory, established by Peter Debye and Erich Hückel in 1923, is a fundamental concept in physical chemistry. It provides an understanding of the behavior of strong electrolytes in solution, particularly explaining their deviations from ideal behavior.The theory is based on Coulombic interactions (the attraction or repulsion between charged particles) between ions in solution. In an ionic solution, oppositely charged ions tend to attract each other. This means that cations...

Van der Waals Interactions

Van der Waals Interactions

Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.Polar molecules have a partial positive charge on one end and a partial negative charge on the other end of the molecule,...

Debye–Huckel–Onsager Conductance Equation

Debye–Huckel–Onsager Conductance Equation

The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect. According to this equation,...

Electrostatic Boundary Conditions

Electrostatic Boundary Conditions

Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Antimicrobial properties of copper-based shape-memory alloy wires coupled to hydrogen peroxide solutions for endodontic treatments.

Journal of applied microbiology·2026

Same author

Assessing the Representativeness of Isolated Humic Substances to Model the Reactivity of Aquatic Organic Matter: A Proton-Binding Study.

Environmental science & technology·2025

Same author

Probing Bacterial Interactions with the <i>Schistosoma mansoni</i>-Killing Toxin Biomphalysin via Atomic Force Microscopy and Single Molecule Force Spectroscopy.

Toxins·2025

Same author

Sorption kinetics of metallic and organic contaminants on micro- and nanoplastics: remarkable dependence of the intraparticulate contaminant diffusion coefficient on the particle size and potential role of polymer crystallinity.

Environmental science. Processes & impacts·2025

Same author

Toxicity assessment of titanium dioxide nanoparticles on microorganisms through topological data analysis of high dimensional single-cell nanomechanical data.

Talanta·2024

Same author

Physicochemical Rationale of Matrix Effects Involved in the Response of Hydrogel-Embedded Luminescent Metal Biosensors.

Biosensors·2024

Search research articles

Related Experiment Video

Updated: Jun 6, 2026

Label-free Isolation and Enrichment of Cells Through Contactless Dielectrophoresis

Label-free Isolation and Enrichment of Cells Through Contactless Dielectrophoresis

Published on: September 3, 2013

Electrostatic interactions between diffuse soft multi-layered (bio)particles: beyond Debye-Hückel approximation and

Jérôme F L Duval¹, Jenny Merlin, Puranam A L Narayana

¹Laboratoire Environnement et Minéralurgie, Nancy-Université, UMR7569 CNRS, BP 40-F-54501 Vandoeuvre-lès-Nancy Cedex, France. jerome.duval@ensg.inpl-nancy.fr

Physical Chemistry Chemical Physics : PCCP

|November 13, 2010

Summary

This summary is machine-generated.

This study presents a new theory for calculating electrostatic interactions between soft, multi-layered particles, crucial for understanding microgels and microorganisms. The model accounts for complex layer properties and provides analytical solutions for various particle types.

More Related Videos

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

Spatial Separation of Molecular Conformers and Clusters

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

Related Experiment Videos

Last Updated: Jun 6, 2026

Label-free Isolation and Enrichment of Cells Through Contactless Dielectrophoresis

Label-free Isolation and Enrichment of Cells Through Contactless Dielectrophoresis

Published on: September 3, 2013

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

Spatial Separation of Molecular Conformers and Clusters

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

Area of Science:

Colloid and Surface Science
Physical Chemistry
Biophysics

Background:

Electrostatic interactions are fundamental to the behavior of soft matter, including microgels and microorganisms.
Existing models often simplify the complex layered structure and ion distribution within soft particles.
Understanding these interactions is key in fields ranging from materials science to cell biology.

Purpose of the Study:

To develop a comprehensive steady-state theory for evaluating electrostatic interactions between multi-layered soft (bio)particles.
To provide a flexible formalism applicable to various particle compositions, layer structures, and interaction scenarios.
To offer analytical solutions for specific cases within established approximations like Deryagin and Debye-Hückel.

Main Methods:

Rigorous numerical solution of the non-linearized Poisson-Boltzmann equation.
Incorporation of diffuse interphases and position-dependent ionogenic group distributions.
Application of the Verwey and Overbeek method for calculating Gibbs energy of electrostatic interaction.

Main Results:

The theory accurately models interactions between identical or dissimilar soft multi-layered particles, including those with rigid cores.
It accounts for varying layer properties (thickness, density, composition, dissociation) and diffuse interphases.
Analytical solutions are derived for interactions involving soft particles under Deryagin and Debye-Hückel approximations.

Conclusions:

The developed theory offers a versatile framework for studying electrostatic interactions in complex soft matter systems.
The interplay of Debye length, layer properties, and protolytic features significantly influences interaction energy.
This formalism extends previous models by addressing multi-layered structures and diffuse interphases.