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Internal Electric Fields Near Isolated Defects in Ionic Crystals.

Herbert S Bennett1

  • 1Institute for Materials Research, National Bureau of Standards, Washington, D.C. 20234.

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|March 20, 2020
PubMed
Summary
This summary is machine-generated.

This study presents integral representations for internal electric fields near defects in ionic crystals. It details Gaussian and Holtsmark distributions for phonon and charged impurity fields, aiding defect analysis.

Keywords:
Electric fieldsF centersGaussian functionHoltsmark functionisolated defects

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Area of Science:

  • Solid State Physics
  • Condensed Matter Physics
  • Materials Science

Background:

  • Internal electric fields near defects significantly influence ionic crystal properties.
  • Understanding these fields is crucial for predicting material behavior and performance.
  • Existing models may not fully capture the complexity of field distributions under various defect conditions.

Purpose of the Study:

  • To provide integral representations for three distinct internal electric field distributions near isolated defects in ionic crystals.
  • To analyze field distributions associated with phonons and charged impurities, considering varying Jahn-Teller effect magnitudes.
  • To offer a quantitative basis for understanding electric field interactions with crystal defects.

Main Methods:

  • Derivation of integral representations for electric field distributions.
  • Application of Gaussian distribution for phonon-associated fields.
  • Utilisation of two Holtsmark-type distributions for charged impurity fields (small and large Jahn-Teller effect).

Main Results:

  • Integral representations for Gaussian (phonon) and two Holtsmark (charged impurity) electric field distributions are established.
  • The study quantifies field distributions influenced by the Jahn-Teller effect.
  • Numerical values for distributions and averaged squared-dipole matrix elements are tabulated.

Conclusions:

  • The developed representations offer a comprehensive framework for analyzing internal electric fields in ionic crystals with defects.
  • Tabulated numerical data facilitates practical applications in solid-state physics and materials science.
  • This work enhances the understanding of defect-mediated electric field phenomena in ionic materials.