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Compact Fitting Formulas for Electron-Impact Cross Sections.

Yong-Ki Kim1

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New compact fitting formulas accurately predict electron-impact cross sections for atoms and ions. These formulas are effective across a wide energy range, simplifying atomic physics calculations.

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Area of Science:

  • Atomic and Molecular Physics
  • Quantum Mechanics
  • Plasma Physics

Background:

  • Electron-impact excitation and ionization are fundamental processes in atomic and molecular physics.
  • Accurate cross-section data is crucial for modeling plasmas and understanding atomic interactions.
  • Existing methods for calculating cross sections can be complex and computationally intensive.

Purpose of the Study:

  • To develop simple, accurate fitting formulas for electron-impact cross sections.
  • To provide a versatile tool for estimating cross sections for various atoms and ions.
  • To cover a broad range of incident electron energies from threshold to high energies.

Main Methods:

  • Development of compact fitting formulas with four fitting constants.
  • Smoothing of resonant structures in experimental and theoretical cross sections.
  • Application of formulas to fit existing cross-section data for atoms and ions.

Main Results:

  • The proposed formulas demonstrate excellent agreement with experimental and theoretical data.
  • The fitting formulas are effective for incident electron energies up to 10 keV.
  • The basic formula structure is applicable to both atoms and molecules.

Conclusions:

  • Compact fitting formulas offer a reliable and efficient method for determining electron-impact cross sections.
  • These formulas simplify the analysis of electron-atom/ion interactions.
  • The approach provides a valuable tool for researchers in various fields of physics.