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Surface excitation in a semi-classical approach.

Z Li1, G Y Liang1, A Sulyok2

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Summary

This study introduces a new theoretical model for surface excitation, improving electron scattering analysis. The model accurately determines the bulk dielectric function of lead using reflection electron energy loss spectroscopy.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Surface Science

Background:

  • Accurate characterization of electron-matter interactions is crucial for surface analysis.
  • Existing models may not fully capture surface excitation phenomena.
  • Understanding electron inelastic scattering is key to interpreting spectroscopic data.

Purpose of the Study:

  • To develop a detailed semi-classical theoretical model for surface excitation.
  • To describe the electron differential inverse inelastic mean free path (DIIMFP) in the surface region.
  • To quantitatively analyze electron-beam interactions using reflection electron energy loss spectroscopy (REELS).

Main Methods:

  • Formulation of a theoretical model in cylindrical coordinates for momentum transfer.
  • Derivation of surface dielectric function from bulk dielectric properties.
  • Integration of electron inelastic scattering model into reverse Monte Carlo simulations.
  • Acquisition and analysis of REELS spectra for lead (Pb) at various electron incident energies.

Main Results:

  • The model explicitly incorporates surface plasmon dispersion.
  • A depth-dependent surface dielectric function was derived.
  • REELS analysis revealed a pronounced bulk plasmon in lead at 13 eV with high intensity.
  • Experimental results showed excellent agreement with theoretical calculations.

Conclusions:

  • The developed theoretical model provides a robust framework for surface excitation analysis.
  • The study successfully extracted the bulk dielectric function of lead.
  • The findings enhance the quantitative analysis capabilities of REELS for material characterization.