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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...
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Finite Element Modelling of a Cellular Electric Microenvironment
08:23

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Published on: May 18, 2021

Finite-size supercell correction for charged defects at surfaces and interfaces.

Hannu-Pekka Komsa1, Alfredo Pasquarello

  • 1Chaire de Simulation à l'Echelle Atomique (CSEA), Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland.

Physical Review Letters
|March 19, 2013
PubMed
Summary

A new correction scheme accurately calculates charged defect formation energies at surfaces and interfaces. This method ensures results are independent of simulation cell size, improving defect studies.

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Area of Science:

  • Computational Materials Science
  • Surface Science
  • Defect Physics

Background:

  • Accurate calculation of charged defect formation energies is crucial for understanding material properties.
  • Finite-size supercell approximations in electronic-structure calculations introduce spurious electrostatic interactions, complicating defect energy calculations.
  • Existing methods often struggle to reconcile classical electrostatics with quantum mechanical details for systems with surfaces or interfaces.

Purpose of the Study:

  • To introduce a novel finite-size supercell correction scheme for charged defect formation energies.
  • To develop a method that accurately accounts for electrostatic interactions at surfaces and interfaces.
  • To ensure calculated defect formation energies are robust and independent of simulation parameters like supercell size.

Main Methods:

  • A hybrid approach combining classical electrostatics with dielectric profiles and electronic-structure calculations.
  • Extraction of electrostatic potential from first-principles calculations to model the system.
  • An extrapolation scheme to validate the accuracy and convergence of the proposed correction.

Main Results:

  • The developed correction scheme effectively removes spurious electrostatic interactions.
  • The method preserves essential dielectric and quantum mechanical characteristics of the material system.
  • Calculations for charged defects (Cl vacancy in NaCl, Si dangling bond) show formation energies become independent of supercell dimensions and vacuum size.

Conclusions:

  • The proposed finite-size supercell correction scheme provides accurate formation energies for charged defects at surfaces and interfaces.
  • This method enhances the reliability of computational studies on defects in various material systems.
  • The independence of results from supercell size signifies a significant advancement in defect modeling.