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Inversion of dynamical electron diffraction data including absorption

Allen¹, Faulkner, Leeb

¹School of Physics, University of Melbourne, Parkville, Victoria, Australia. lja@physics.unimelb.edu.au

Acta Crystallographica. Section A, Foundations of Crystallography

|April 20, 2000

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This study presents a method for inverting electron dynamical diffraction in crystals, accounting for absorption. It uniquely determines scattering potentials from the scattering matrix for any incident beam orientation.

Area of Science:

Solid State Physics
Materials Science
Electron Crystallography

Background:

Dynamical diffraction is crucial for understanding electron scattering in crystals.
Absorption effects complicate standard diffraction analysis.
Unique determination of scattering potentials is essential for accurate material characterization.

Purpose of the Study:

To develop a method for inverting electron dynamical diffraction including absorption.
To uniquely determine elastic and absorptive scattering potentials.
To demonstrate the method's applicability across different crystal orientations.

Main Methods:

Development of an inversion method for high-energy electron dynamical diffraction.
Incorporation of absorption effects into the diffraction model.

Related Experiment Videos

Utilizing the scattering matrix to derive projected potentials.

Analysis at fixed electron energy.

Main Results:

A unique method to invert electron dynamical diffraction with absorption was established.
Projected potentials for elastic and absorptive scattering were uniquely obtained from the scattering matrix.
The inversion is feasible for any principal orientation of the incident electron beam.

Conclusions:

The developed method provides a robust way to analyze electron scattering in crystals.
Accurate determination of scattering potentials is achievable even with absorption.
This technique enhances the capability of electron crystallography for materials analysis.