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Related Concept Videos

Force and Potential Energy in One Dimension01:13

Force and Potential Energy in One Dimension

Force can be calculated from the expression for potential energy, which is a function of position. The component of a conservative force, in a particular direction, equals the negative of the derivative of the corresponding potential energy with respect to the displacement in that direction. For regions where potential energy changes rapidly with displacement, the work done and force is maximum. Also, when force is applied along the positive coordinate axis, the potential energy decreases with...
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...
Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation04:01

Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation

Thus far, the ideal gas law, PV = nRT, has been applied to a variety of different types of problems, ranging from reaction stoichiometry and empirical and molecular formula problems to determining the density and molar mass of a gas. However, the behavior of a gas is often non-ideal, meaning that the observed relationships between its pressure, volume, and temperature are not accurately described by the gas laws.
Intermolecular vs Intramolecular Forces03:00

Intermolecular vs Intramolecular Forces

Intermolecular forces (IMF) are electrostatic attractions arising from charge-charge interactions between molecules. The strength of the intermolecular force is influenced by the distance of separation between molecules. The forces significantly affect the interactions in solids and liquids, where the molecules are close together. In gases, IMFs become important only under high-pressure conditions (due to the proximity of gas molecules). Intermolecular forces dictate the physical properties of...
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Intermolecular Forces in Solutions

The formation of a solution is an example of a spontaneous process, a process that occurs under specified conditions without energy from some external source.
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Related Experiment Video

Updated: Jun 21, 2026

Realistic Membrane Modeling Using Complex Lipid Mixtures in Simulation Studies
07:31

Realistic Membrane Modeling Using Complex Lipid Mixtures in Simulation Studies

Published on: September 1, 2023

A general, accurate procedure for calculating molecular interaction force.

Pinghai Yang1, Xiaoping Qian

  • 1Department of Mechanical, Materials and Aerospace Engineering, Illinois Institute of Technology, Chicago, IL 60616, USA.

Journal of Colloid and Interface Science
|July 15, 2009
PubMed
Summary
This summary is machine-generated.

This study presents a new method for calculating van der Waals forces between objects. The approach uses NURBS surfaces to accurately and efficiently determine molecular interactions for various shapes.

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Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
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Last Updated: Jun 21, 2026

Realistic Membrane Modeling Using Complex Lipid Mixtures in Simulation Studies
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Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

Area of Science:

  • Physics
  • Materials Science
  • Computational Science

Background:

  • Molecular interaction forces, such as van der Waals forces, are crucial for understanding material processes like sintering, adhesion, and fracture.
  • Accurate calculation of these forces is essential for predicting material behavior.

Purpose of the Study:

  • To develop an accurate and general computational procedure for calculating van der Waals forces.
  • To enhance the efficiency and applicability of force calculations for arbitrary and complex geometries.

Main Methods:

  • Developed a novel approach extending a surface formulation to convert 6D volume integrals into 4D surface integrals for force calculation.
  • Utilized Non-Uniform Rational B-Spline (NURBS) surfaces for precise representation of object geometries.
  • Performed surface integrals within the parametric domain of NURBS surfaces for computational efficiency.

Main Results:

  • The NURBS-based surface formulation accurately calculates van der Waals forces for both simple and complex geometries, including those with surface roughness.
  • Demonstrated improved calculation efficiency by transforming volume integrals into surface integrals.
  • Validated the method against analytical solutions for standard geometric shapes.

Conclusions:

  • The proposed method offers an accurate and efficient way to compute van der Waals forces between objects of arbitrary shapes.
  • This approach enhances the understanding and modeling of sintering, adhesion, and fracture processes.
  • The integration of NURBS surfaces provides a robust framework for molecular interaction calculations in materials science.