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Time-dependent density functional calculation of e-H scattering.

Meta van Faassen1, Adam Wasserman, Eberhard Engel

  • 1Department of Chemistry and Chemical Biology, Rutgers University, 610 Taylor Road, Piscataway, New Jersey 08854-8087, USA.

Physical Review Letters
|August 7, 2007
PubMed
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Phase shifts for electron-atom scattering were calculated using time-dependent density functional theory. This method accurately approximates potentials, yielding good scattering phase shifts for the hydrogen negative ion.

Area of Science:

  • Atomic and Molecular Physics
  • Quantum Chemistry
  • Computational Physics

Background:

  • Electron-atom scattering is fundamental to understanding atomic and molecular processes.
  • Accurate calculation of phase shifts is crucial for predicting scattering outcomes.
  • Time-dependent density functional theory (TDDFT) offers a computationally tractable approach.

Purpose of the Study:

  • To derive phase shifts for single-channel elastic electron-atom scattering.
  • To evaluate the performance of TDDFT approximations for electron-atom scattering.
  • To investigate the scattering properties of the H- ion.

Main Methods:

  • Utilized time-dependent density functional theory (TDDFT).
  • Confined the H- ion within a spherical box to define a discrete spectrum.

Related Experiment Videos

  • Calculated phase shifts from the discrete spectrum.
  • Employed exact exchange and adiabatic local density approximation (ALDA) for exchange-correlation potentials.
  • Main Results:

    • Phase shifts were successfully derived for electron-H- scattering.
    • Exact exchange provided an excellent approximation to the ground-state Kohn-Sham potential.
    • The ALDA yielded good singlet and triplet phase shifts.

    Conclusions:

    • TDDFT, particularly with exact exchange, is a viable method for calculating electron-atom scattering phase shifts.
    • The study successfully determined scattering properties for the H- ion.
    • Approximations within TDDFT show promise for future scattering calculations.