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

Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

30.2K
Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
30.2K
Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

47.7K
Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
47.7K
Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

11.2K
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...
11.2K
Electric Field Lines01:25

Electric Field Lines

9.1K
The three-dimensional representation of the electric field of a positive point charge requires tracing the electric field vectors, whose lengths decrease as the square of their distance from the charge and which point away from the charge at each point. This vector field is no doubt challenging to visualize. The visualization of electric fields becomes quickly intractable as the number of charges increases.
The solution to this problem is to use electric field lines, which are not vectors but...
9.1K
Electric Field of Two Equal and Opposite Charges01:30

Electric Field of Two Equal and Opposite Charges

6.9K
Atoms generally contain the same number of positively and negatively charged particles, protons, and electrons. Hence, they are electrically neutral. However, the centers of the positive and negative charges do not always coincide. In such a scenario, the electric field of an atom may not be zero.
A separation of the positive and negative charges can lead to a weak, remnant effect of the positive and negative charges. The expectation is that the more the distance between the positive and...
6.9K
Electric Field01:16

Electric Field

12.2K
Consider two point charges, each exerting Coulomb force on the other. It is possible to describe the Coulomb interaction via an intermediate step by defining a new physical quantity called the electric field.
In the new picture, imagine that the first charge sets up an electric field independent of all other charges in the universe. When another charge comes in its vicinity, the second charge experiences an electric force depending on the electric field at that point. The source charge does not...
12.2K

You might also read

Related Articles

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

Sort by
Same author

Comparative Density Measurements for Solid Specimens Weighing a Few Milligrams.

Journal of research of the National Bureau of Standards. Section A, Physics and chemistry·2020
Same author

Correlation of Successive Atomic Steps in Crystals by Relaxation Mode Analysis.

Journal of research of the National Bureau of Standards. Section A, Physics and chemistry·2020
Same author

Relaxation Modes of Trapped Crystal Point Defects: the Three-Neighbor Shells Model in NaCl.

Journal of research of the National Bureau of Standards. Section A, Physics and chemistry·2019
Same author

Surface-Layer Relaxation in the Dielectric Spectrum of CaF<sub>2</sub> Doped With GdF<sub>3</sub>.

Journal of research of the National Bureau of Standards. Section A, Physics and chemistry·2019
Same author

Relaxation Modes for Trapped Crystal Point Defects.

Journal of research of the National Bureau of Standards. Section A, Physics and chemistry·2019
Same author

Omentalisation of a caudal mediastinal abscess in a dog.

Australian veterinary journal·2011
Same journal

The Photochemistry of Propane at High Photon Energies (8.4-21.2 eV).

Journal of research of the National Bureau of Standards. Section A, Physics and chemistry·2021
Same journal

Isomerization Processes in Ions of the Empirical Formula <math> </math>.

Journal of research of the National Bureau of Standards. Section A, Physics and chemistry·2021
Same journal

Temperature Dependence of Photocurrents Produced by X and Gamma Rays in Silicon Radiation Detectors.

Journal of research of the National Bureau of Standards. Section A, Physics and chemistry·2021
Same journal

Stable Radical-Anions Derived from Glyoxal <i>Bis</i>(phenylhydrazones).

Journal of research of the National Bureau of Standards. Section A, Physics and chemistry·2021
Same journal

High-Speed (Subsecond) Measurement of Heat Capacity, Electrical Resistivity, and Thermal Radiation Properties of Niobium in the Range 1500 to 2700 K.

Journal of research of the National Bureau of Standards. Section A, Physics and chemistry·2021
Same journal

A New Determination of the Atomic Weight of Zinc.

Journal of research of the National Bureau of Standards. Section A, Physics and chemistry·2021
See all related articles

Related Experiment Video

Updated: Jan 2, 2026

Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon
06:57

Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon

Published on: July 17, 2020

2.6K

Electric Fields Produced in Cubic Crystals by Point Defects.

A D Franklin1, D J Sparks1

  • 1Theoretical Physics Division, U.K.A.E.A., Harwell, England.

Journal of Research of the National Bureau of Standards. Section A, Physics and Chemistry
|December 12, 2019
PubMed
Summary
This summary is machine-generated.

Charged point defects in crystals create electric fields by polarizing surrounding ions. This study provides lattice sums to calculate this electric field contribution in common crystal structures like NaCl and ZnS.

Keywords:
CaF2CsClElectric fieldsNaClZnSionic crystalslattice sumspoint defectspolarization

More Related Videos

Electron Channeling Contrast Imaging for Rapid III-V Heteroepitaxial Characterization
07:50

Electron Channeling Contrast Imaging for Rapid III-V Heteroepitaxial Characterization

Published on: July 17, 2015

11.5K
Comprehensive Characterization of Extended Defects in Semiconductor Materials by a Scanning Electron Microscope
11:14

Comprehensive Characterization of Extended Defects in Semiconductor Materials by a Scanning Electron Microscope

Published on: May 28, 2016

14.3K

Related Experiment Videos

Last Updated: Jan 2, 2026

Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon
06:57

Theoretical Calculation and Experimental Verification for Dislocation Reduction in Germanium Epitaxial Layers with Semicylindrical Voids on Silicon

Published on: July 17, 2020

2.6K
Electron Channeling Contrast Imaging for Rapid III-V Heteroepitaxial Characterization
07:50

Electron Channeling Contrast Imaging for Rapid III-V Heteroepitaxial Characterization

Published on: July 17, 2015

11.5K
Comprehensive Characterization of Extended Defects in Semiconductor Materials by a Scanning Electron Microscope
11:14

Comprehensive Characterization of Extended Defects in Semiconductor Materials by a Scanning Electron Microscope

Published on: May 28, 2016

14.3K

Area of Science:

  • Solid State Physics
  • Materials Science
  • Crystallography

Background:

  • Charged point defects induce dipole moments in crystalline materials.
  • These induced dipoles significantly influence the overall electric field within a crystal.

Purpose of the Study:

  • To develop and present lattice sums for calculating the electric field contribution from polarized ions around defects.
  • To analyze this contribution in various crystal structures, including NaCl, CsCl, CaF2, and ZnS.

Main Methods:

  • Calculation of lattice sums using power series expansions.
  • Evaluation of the electric field near lattice sites with specified radial displacements (±20% of cation-anion distance).
  • Tabulation of coefficients for power series terms up to cubic displacements.

Main Results:

  • Provided detailed lattice sums for calculating defect-induced electric fields.
  • Quantified the electric field contribution for specific defect positions and lattice sites.
  • Included analysis of ionic displacements up to cubic terms.

Conclusions:

  • The presented lattice sums offer a method for accurately calculating electric field contributions from charged point defects.
  • The study provides essential data for understanding defect behavior and electric field distributions in various crystal structures.