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Modified Bethe formula for low-energy electron stopping power without fitting parameters.

Hieu T Nguyen-Truong1

  • 1Faculty of Electronics and Computer Science, Volgograd State Technical University, 28 Lenin Avenue, Volgograd 400131, Russia.

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|December 2, 2014
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Summary

We developed a new, parameter-free Bethe formula for calculating low-energy electron stopping power. This advanced formula accurately predicts energy deposition, aligning with experimental data for various elements and compounds.

Keywords:
Electron stopping powerEnergy deposition distributionHydrogen silsesquioxaneModified Bethe formula

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Area of Science:

  • Physics
  • Materials Science
  • Computational Science

Background:

  • Accurate calculation of electron stopping power is crucial for understanding radiation interactions in materials.
  • Existing models often require fitting parameters, limiting their universal applicability.

Purpose of the Study:

  • To introduce a modified Bethe formula for low-energy electron stopping power that eliminates the need for fitting parameters.
  • To validate the formula's accuracy across a broad spectrum of elements and compounds.

Main Methods:

  • Developed a modified Bethe formula based on theoretical principles.
  • Compared predicted stopping powers with experimental data for 15 elements and 6 compounds.
  • Validated results against calculations from dielectric theory, including exchange effects.
  • Applied the derived stopping power in Monte Carlo simulations for hydrogen silsesquioxane.

Main Results:

  • The modified Bethe formula shows reasonable agreement with experimental stopping power data.
  • The formula's predictions are consistent with advanced dielectric theory calculations.
  • Monte Carlo simulations using the new formula accurately reproduced experimental energy deposition distributions for hydrogen silsesquioxane.

Conclusions:

  • The proposed parameter-free Bethe formula offers a generalized and accurate method for determining low-energy electron stopping power.
  • This approach enhances the reliability of simulations involving radiation-matter interactions.