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Thermal diffuse scattering in sub-angstrom quantitative electron microscopy-phenomenon, effects and approaches.

Zhong Lin Wang1

  • 1School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0245, USA. zhong.wang@mse.gatech.edu

Micron (Oxford, England : 1993)
|August 5, 2003
PubMed
Summary

Thermal diffusely scattered electrons impact high-resolution microscopy. New theories improve electron scattering calculations, and the frozen lattice model is validated for thermal vibrations in crystals.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Electron Microscopy

Background:

  • Quantitative high-resolution transmission electron microscopy (HRTEM) faces contrast discrepancies between theoretical and experimental images.
  • Discrepancies in HRTEM are often attributed to thermal diffusely scattered (TDS) electrons, particularly at resolutions below 0.1 nm with advanced microscopes.
  • Existing dynamical theories for electron scattering are limited by approximations for small lattice distortions.

Purpose of the Study:

  • To review recent advancements in quantitative HRTEM, electron scattering theories, and models for thermal vibrations in crystals.
  • To address the discrepancy in HRTEM image contrast by accounting for TDS electrons.
  • To develop and validate advanced theoretical frameworks for electron scattering and thermal effects in materials.

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Main Methods:

  • Development of a rigorous multislice theory to incorporate TDS electrons in HRTEM image calculations.
  • Utilizing off-axis electron holography as an energy filter to exclude TDS electron contributions.
  • Formulating a formal dynamical theory for diffuse scattering, including multiple scattering and analytical evaluation of lattice averages.
  • Applying quantum mechanical phonon excitation theory to validate the 'frozen lattice' model.

Main Results:

  • A rigorous multislice theory effectively accounts for TDS electron contributions in HRTEM.
  • Off-axis electron holography acts as an ideal energy filter, excluding TDS electrons.
  • The developed dynamical theory enables accurate calculation of diffuse scattering with multiple scattering and analytical averaging.
  • The 'frozen lattice' model is confirmed as an excellent approximation for calculating electron diffuse scattering due to thermal vibrations.

Conclusions:

  • Accounting for TDS electrons is crucial for accurate quantitative HRTEM, especially at high resolutions.
  • Advanced dynamical theories and validated models like the 'frozen lattice' model enhance the predictive power of electron microscopy simulations.
  • These advancements provide a robust theoretical basis for expanding the applications of electron microscopy in materials characterization.