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The efficient calculation of electron impact ionization cross sections with effective core potentials.

Vincent Graves1, Bridgette Cooper1, Jonathan Tennyson1

  • 1Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom.

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|March 23, 2021
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Summary

This study implements a Binary Encounter Bethe (BEB) method using effective core potentials (ECP) for calculating electron impact ionization cross sections in molecules with heavy atoms. The ECP approach improves agreement with experimental data at lower energies.

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Area of Science:

  • Atomic and Molecular Physics
  • Quantum Chemistry
  • Computational Physics

Background:

  • Electron impact ionization is crucial for understanding molecular behavior.
  • Accurate calculation of ionization cross sections is computationally demanding, especially for heavy-atom molecules.
  • Existing methods may lack accuracy for complex molecular targets.

Purpose of the Study:

  • To implement and validate a Binary Encounter Bethe (BEB) model incorporating an effective core potential (ECP) procedure.
  • To efficiently calculate electron impact ionization cross sections for molecules containing heavy atoms.
  • To assess the impact of ECPs and target molecule polarizability on ionization cross section predictions.

Main Methods:

  • A black-box Binary Encounter Bethe (BEB) method was employed.
  • An effective core potential (ECP) procedure was integrated for computational efficiency.
  • Calculations were performed using the Quantemol electron collisions software (UKRMol+ codes).
  • Tested on various series of molecules including CF4, CCl4, CH4, SiH4, PH3, PF3, SiCl4, BCl3, CH3Br, and CF3I.

Main Results:

  • The ECP approach generally increased predicted ionization cross sections at lower energies.
  • ECP-based BEB calculations showed improved agreement with experimental data compared to all-electron methods.
  • Scaling BEB cross sections by target molecule polarizability yielded inconsistent improvements in agreement with experimental data.

Conclusions:

  • The implemented ECP-BEB method provides an efficient and more accurate approach for calculating electron impact ionization cross sections for heavy-atom molecules.
  • ECPs are beneficial for improving low-energy ionization cross section predictions.
  • Polarizability scaling is not a universally reliable method for enhancing BEB cross section accuracy.