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Related Concept Videos

Imperfections in Crystal Structure: Stoichiometric Point Defects01:26

Imperfections in Crystal Structure: Stoichiometric Point Defects

Schottky defects arise when some lattice points in a crystal, such as those in NaCl, remain unoccupied, creating lattice vacancies without disturbing the overall electrical neutrality of the crystal. This defect is common in ionic crystals where the positive and negative ions are similar in size, as seen in sodium chloride and cesium chloride. The presence of Schottky defects enables the crystal to conduct electricity to a small extent through an ionic mechanism. Electric fields cause nearby...
Imperfections in Crystal Structure: Point, Line and Plane Defects01:25

Imperfections in Crystal Structure: Point, Line and Plane Defects

A perfect crystal, in theory, has a uniform structure with the same unit cell and lattice points throughout. However, any deviation from this periodic arrangement is known as an imperfection or defect. These defects can be categorized into three types: point, line, and plane defects.Point defects occur when there is a deviation from the ideal due to missing atoms, displaced atoms, or additional atoms. These imperfections might occur due to imperfect packing during crystallization or because of...
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...
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 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...
Imperfections in Crystal Structure: Non-Stoichiometric Defects01:29

Imperfections in Crystal Structure: Non-Stoichiometric Defects

Non-stoichiometric defects refer to a type of defect in the crystal structure of a compound where the ratio of its constituent elements deviates from the ideal stoichiometric ratio. There are two main types of non-stoichiometric defects: metal excess defects and metal deficiency defects.Metal excess defects occur when there is a slight surplus of metal ions than what is required by the stoichiometric ratio of the compound. For example, heating a sodium chloride crystal in sodium vapor results...

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Related Experiment Video

Updated: Jun 21, 2026

Picometer-Precision Atomic Position Tracking through Electron Microscopy
15:04

Picometer-Precision Atomic Position Tracking through Electron Microscopy

Published on: July 3, 2021

Lattice strain due to an atomic vacancy.

Shidong Li1, Michael S Sellers2, Cemal Basaran1

  • 1Electronic Packaging Laboratory, University at Buffalo, The State University of New York 14260-4300, USA.

International Journal of Molecular Sciences
|July 8, 2009
PubMed
Summary

This study investigates atomic lattice strain caused by vacancies in FCC metals using molecular dynamics simulations. Continuum mechanics methods provide similar results, validating their use for analyzing vacancy-induced strain.

Keywords:
electromigrationembedded-atom methodlattice strainmolecular dynamic simulationsthermomigrationvacancy transportvirial stress

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Computational Physics

Background:

  • Volumetric strain comprises contributions from bond distance changes and vacancy dynamics.
  • Understanding atomic lattice strain is crucial for materials behavior analysis.

Purpose of the Study:

  • To investigate atomic lattice strain induced by vacancies in FCC metals.
  • To compare results from molecular dynamics simulation (MDS) with continuum mechanics methods.

Main Methods:

  • Utilized molecular dynamics simulation (MDS) to model atomic lattice strain.
  • Employed continuum mechanics for comparative analysis.

Main Results:

  • Atomic lattice strain due to vacancies in FCC metals was successfully simulated.
  • Continuum mechanics results closely matched those from MDS.

Conclusions:

  • Continuum mechanics offers a valid and efficient approach for studying vacancy-induced strain.
  • The findings support the use of continuum mechanics for predicting material behavior under vacancy-related stress.