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 Kinetic Model of Gases

The Kinetic Model of Gases

The kinetic model of gases explains the properties of a perfect gas using three main assumptions: molecules move in ceaseless random motion, their size is negligible compared to the distances between them, and they do not interact except during perfectly elastic collisions. The total energy of a gas is the sum of the kinetic energies of all its constituent molecules. The pressure exerted by the gas arises from the continual bombardment of the container walls by billions of colliding molecules.

Lattice Energies of Ionic Crystals

Lattice Energies of Ionic Crystals

Lattice energy represents the energy released when gaseous cations and anions combine to form an ionic solid, reflecting the strength of electrostatic interactions within the crystal. This process is fundamentally governed by Coulombic attraction between oppositely charged ions, where the potential energy varies inversely with the interionic distance and directly with the product of ionic charges. As ions approach one another, the electrostatic energy becomes increasingly negative, indicating a...

Trends in Lattice Energy: Ion Size and Charge

Trends in Lattice Energy: Ion Size and Charge

An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:

The Van der Waals Equation

The Van der Waals Equation

The ideal gas law is based on two simplifying assumptions: first, that there are no intermolecular attractions between gas molecules, and second, that the volume occupied by the molecules themselves is negligible compared with the volume of the container. However, these assumptions don't hold up under all conditions - specifically, at high pressures and low temperatures, as gas tends to deviate from ideal gas behavior.The van der Waals equation is an enhanced version of the ideal gas law,...

Van der Waals Equation

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...

Lattice Centering and Coordination Number

Lattice Centering and Coordination Number

The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...

You might also read

Related Articles

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

Sort by

Same author

Scaling the glassy dynamics of active particles: Tunable fragility and reentrance.

Proceedings of the National Academy of Sciences of the United States of America·2026

Same author

Static and dynamic rough energy landscapes can lead to identical diffusivity.

Proceedings of the National Academy of Sciences of the United States of America·2026

Same author

Critical surface phase behavior governs hydrophobic attraction between extended solutes.

The Journal of chemical physics·2025

Same author

Ensemble inequivalence in the design of mixtures with super-Gibbs phase coexistence.

Physical review. E·2025

Same author

Coarsening in bent-core liquid crystals: a molecular dynamics study.

Soft matter·2025

Same author

An elastoplastic model approach for the relaxation dynamics of active glasses.

Soft matter·2025

Search research articles

Related Experiment Video

Updated: Jul 6, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

Polydisperse lattice-gas model.

Nigel B Wilding¹, Peter Sollich, Matteo Buzzacchi

¹Department of Physics, University of Bath, Bath BA2 7AY, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 21, 2008

Summary

This summary is machine-generated.

We developed a lattice-gas model to study how polydispersity affects liquid-vapor phase equilibria. Our simulations show polydispersity, even in interactions, broadens phase separation curves, matching experimental observations.

More Related Videos

Assembly and Characterization of Polyelectrolyte Complex Micelles

Assembly and Characterization of Polyelectrolyte Complex Micelles

Published on: March 2, 2020

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

Related Experiment Videos

Last Updated: Jul 6, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

Assembly and Characterization of Polyelectrolyte Complex Micelles

Assembly and Characterization of Polyelectrolyte Complex Micelles

Published on: March 2, 2020

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

Area of Science:

Statistical mechanics
Physical chemistry
Computational physics

Background:

Polydispersity, the variation in particle size or properties, significantly influences bulk material behavior.
Understanding phase equilibria is crucial for designing and controlling material properties.
Previous models often require complex representations of polydispersity.

Purpose of the Study:

To introduce a simplified lattice-gas model for investigating the generic effects of polydispersity on liquid-vapor phase equilibria.
To simulate phase behavior under fixed polydispersity conditions.
To analyze how polydispersity, specifically in interaction strengths, impacts phase separation.

Main Methods:

Development of a lattice-gas model incorporating polydispersity.
Application of Monte Carlo simulation techniques optimized for phase behavior determination.
Tracing of cloud and shadow curves for a specific Schulz distribution of the polydisperse attribute.

Main Results:

The lattice-gas model successfully captures the influence of polydispersity on liquid-vapor phase equilibria.
Polydispersity, introduced solely through interaction strengths, was sufficient to induce significant effects.
A broad separation between cloud and shadow curves was observed, consistent with experimental data.

Conclusions:

The proposed lattice-gas model provides a computationally tractable approach to study polydispersity effects in phase equilibria.
Even simple variations in interaction strengths due to polydispersity can lead to complex phase behavior.
This model offers a valuable tool for understanding and predicting the behavior of polydisperse fluids.