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Angle-resolved Photoemission Spectroscopy At Ultra-low Temperatures
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On the impulse approximation in electron Compton scattering.

B G Mendis1

  • 1Dept. of Physics, Durham University, South Road, Durham, DH1 3LE, UK.

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|May 3, 2025
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Summary
This summary is machine-generated.

The impulse approximation is crucial for Compton scattering. Reliable electronic structure data is obtained when Compton peak energy exceeds the crystal

Keywords:
Electron compton scatteringImpulse approximationKronig-Penney model

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Area of Science:

  • Solid State Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Compton scattering is a key technique for measuring electronic structure.
  • The impulse approximation is a fundamental assumption in Compton scattering analysis.
  • This approximation assumes the ejected electron is free from crystal potential influence.

Purpose of the Study:

  • To rigorously test the validity and robustness of the impulse approximation.
  • To establish clear experimental criteria for reliable electronic structure determination using Compton scattering.

Main Methods:

  • Experimental investigation using momentum-resolved electron energy loss spectroscopy (MREELS).
  • Materials studied include boron nitride and aluminium.
  • Theoretical validation employing a Kronig-Penney model for electron transport.

Main Results:

  • Reliable electronic structure data was obtained for Compton peak energies of approximately 250 eV energy loss and higher.
  • The impulse approximation holds when the Compton peak energy significantly surpasses the crystal's mean inner potential for valence electrons.
  • Experimental conditions for accurate Compton data extraction were clearly defined.

Conclusions:

  • The impulse approximation's validity is confirmed under specific energy loss conditions.
  • A practical criterion is provided for selecting appropriate experimental parameters in Compton scattering.
  • This work enhances the reliability of electronic structure measurements across various materials.