Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Van der Waals Interactions01:24

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,...
Van der Waals Equation01:10

Van der Waals Equation

The ideal gas law is an approximation that works well at high temperatures and low pressures. The van der Waals equation of state (named after the Dutch physicist Johannes van der Waals, 1837−1923) improves it by considering two factors.
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...
Intermolecular Forces03:13

Intermolecular Forces

Atoms and molecules interact through bonds (or forces): intramolecular and intermolecular. The forces are electrostatic as they arise from interactions (attractive or repulsive) between charged species (permanent, partial, or temporary charges) and exist with varying strengths between ions, polar, nonpolar, and neutral molecules. The different types of intermolecular forces are ion–dipole, dipole–dipole, hydrogen bonds, and dispersion; among these, dipole–dipole, hydrogen bonds, and dispersion...
Intermolecular Forces03:13

Intermolecular Forces

Atoms and molecules interact through bonds (or forces): intramolecular and intermolecular. The forces are electrostatic as they arise from interactions (attractive or repulsive) between charged species (permanent, partial, or temporary charges) and exist with varying strengths between ions, polar, nonpolar, and neutral molecules. The different types of intermolecular forces are ion–dipole, dipole–dipole, hydrogen bonds, and dispersion; among these, dipole–dipole, hydrogen bonds, and dispersion...
Colloids and Suspensions01:17

Colloids and Suspensions

Children at play often make suspensions such as mixtures of mud and water, flour and water, or a suspension of solid pigments in water known as tempera paint. These suspensions are heterogeneous mixtures composed of relatively large particles visible to the naked eye or seen with a magnifying glass. They are cloudy, and the suspended particles settle out after mixing. The suspended particles in a suspension settle out after some time of mixing. The separation of particles from a suspension is...
Colloids03:22

Colloids

Children at play often make suspensions such as mixtures of mud and water, flour and water, or a suspension of solid pigments in water known as tempera paint. These suspensions are heterogeneous mixtures composed of relatively large particles that are visible to the naked eye or can be seen with a magnifying glass. They are cloudy, and the suspended particles settle out after mixing. On the other hand, a solution is a homogeneous mixture in which no settling occurs and in which the dissolved...

You might also read

Related Articles

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

Sort by
Same author

Analytical solution for diffusiophoretic mobility of soft particles considering finite ion size effect.

Physical review. E·2026
Same author

Electrophoresis of an Oil Drop in a Charged Polymer Gel Medium: Coupled Effects of Drop Electrohydrodynamics and Gel Electroosmosis.

Gels (Basel, Switzerland)·2026
Same author

Impact of slipping plane location and ion-partitioning on the diffusiophoresis of soft particles with hydrophobic inner core.

Soft matter·2026
Same author

Dynamic Electrophoresis of an Oil Drop.

Micromachines·2025
Same author

Estimation of the Hamaker Constants in Non-Polar Polymer/Non-Polar or Weakly Polar Liquid Systems via the Hansen Solubility Parameters.

Langmuir : the ACS journal of surfaces and colloids·2025
Same author

Electrodiffusiophoresis of Spherical Hydrophobic Colloids.

Langmuir : the ACS journal of surfaces and colloids·2025

Related Experiment Video

Updated: Jun 26, 2026

Synthesis and Characterization of Supramolecular Colloids
09:26

Synthesis and Characterization of Supramolecular Colloids

Published on: April 22, 2016

The van der Waals interaction between two torus-shaped colloidal particles.

Hiroyuki Ohshima1, Atsushi Hyono

  • 1Faculty of Pharmaceutical Sciences, Tokyo University of Science, 2641 Yamazaki, Noda, Chiba 278-8510, Japan. ohshima@rs.noda.tus.ac.jp

Journal of Colloid and Interface Science
|January 20, 2009
PubMed
Summary

The van der Waals interaction energy for parallel torus-shaped colloidal particles is derived. At small separations, this energy closely matches that of unrolled, parallel cylinders, especially in the limit of very close proximity.

More Related Videos

Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy
13:15

Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy

Published on: July 18, 2014

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
10:56

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

Related Experiment Videos

Last Updated: Jun 26, 2026

Synthesis and Characterization of Supramolecular Colloids
09:26

Synthesis and Characterization of Supramolecular Colloids

Published on: April 22, 2016

Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy
13:15

Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy

Published on: July 18, 2014

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures
10:56

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

Area of Science:

  • Colloidal Science
  • Surface Physics
  • Intermolecular Forces

Background:

  • Understanding colloidal particle interactions is crucial for predicting material properties and self-assembly.
  • Van der Waals forces are fundamental to colloidal interactions, but their calculation can be complex for non-spherical geometries.
  • Torus-shaped particles present unique geometric challenges for interaction energy calculations.

Purpose of the Study:

  • To derive an analytical expression for the van der Waals interaction energy between two parallel torus-shaped colloidal particles.
  • To investigate the relationship between torus-torus interactions and cylinder-cylinder interactions at small separations.
  • To validate the derived expression and approximations using established theoretical limits.

Main Methods:

  • Derivation of the van der Waals interaction energy expression using established physical principles.
  • Approximation of torus-torus interaction by considering unrolled, parallel cylinders at small particle separations.
  • Analysis of the limiting behavior of the interaction energy as particle separation approaches zero.

Main Results:

  • An explicit expression for the van der Waals interaction energy between parallel tori was obtained.
  • The torus-torus interaction energy is accurately approximated by the interaction energy of corresponding parallel cylinders for small separations.
  • In the limit of very small separations, the interaction energy for both tori and cylinders converges to the same value, consistent with Derjaguin's approximation for cylinders.

Conclusions:

  • The van der Waals interaction between parallel tori can be effectively simplified to that of parallel cylinders at close distances.
  • This simplification provides a valuable approximation for studying the behavior of torus-shaped colloidal systems.
  • The findings offer insights into the role of geometry in colloidal interactions and potential applications in materials science.