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Related Concept Videos

Trends in Lattice Energy: Ion Size and Charge02:54

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:
Lattice Energies of Ionic Crystals01:27

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...
Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
Lattice Centering and Coordination Number02:33

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...
Fermi Level Dynamics01:12

Fermi Level Dynamics

The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
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.

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Related Experiment Video

Updated: May 18, 2026

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

Coarse-grained lattice Monte Carlo simulations with continuous interaction potentials.

Xiao Liu1, Warren D Seider, Talid Sinno

  • 1Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

A new coarse-grained lattice Metropolis Monte Carlo (CG-MMC) method efficiently simulates fluid systems. This approach accurately predicts phase envelopes and densities, significantly reducing computational cost compared to traditional methods.

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Area of Science:

  • Computational physics
  • Chemical engineering
  • Materials science

Background:

  • Simulating fluid systems with molecular force fields is computationally intensive.
  • Accurate prediction of vapor-liquid equilibrium and density distributions is crucial for understanding fluid behavior.

Purpose of the Study:

  • To develop and present a computationally efficient coarse-grained lattice Metropolis Monte Carlo (CG-MMC) method.
  • To enable accurate simulation of fluid systems using standard molecular force fields.

Main Methods:

  • Obtained thermodynamically consistent coarse-grained interaction potentials from continuous force fields (e.g., Lennard-Jones).
  • Employed the CG-MMC method to simulate vapor-liquid equilibrium in Lennard-Jones, square-well, and simple point charge water systems.

Main Results:

  • The CG-MMC method accurately predicted vapor-liquid phase envelopes.
  • Particle density distributions in liquid and vapor phases were in excellent agreement with full-resolution simulations.
  • Achieved significant reduction in computational cost.

Conclusions:

  • The CG-MMC method provides a computationally efficient and accurate alternative for simulating fluid systems.
  • This method successfully models phase behavior and density profiles for various systems.