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Accurate Rydberg excitations from the local density approximation.

Adam Wasserman1, Neepa T Maitra, Kieron Burke

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

Physical Review Letters
|February 3, 2004
PubMed
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The time-dependent local density approximation (TDLDA) can accurately predict optical spectra, even with an imperfect potential. Rydberg excitations are correctly represented as continuum contributions, offering valuable insights into atomic electronic structures.

Area of Science:

  • Quantum Chemistry
  • Computational Physics
  • Atomic Spectroscopy

Background:

  • The time-dependent local density approximation (TDLDA) is a common method for calculating electronic properties.
  • Its potential is known to have incorrect asymptotic behavior, raising questions about its accuracy for certain properties.
  • Accurate calculation of optical spectra is crucial for understanding atomic and molecular behavior.

Purpose of the Study:

  • To investigate the accuracy of TDLDA for calculating optical spectra, particularly concerning Rydberg excitations.
  • To explain the underlying reasons for TDLDA's success despite its known limitations.
  • To identify conditions under which TDLDA calculations of optical response may become inaccurate.

Main Methods:

  • Time-dependent local density approximation (TDLDA) calculations.

Related Experiment Videos

  • Analysis of oscillator strengths and spectral contributions.
  • Illustrative calculations for neon and helium atoms.

    • Main Results:

    • TDLDA yields accurate optical spectra, with Rydberg excitations appearing as continuum contributions.
    • Excellent optical intensity is observed for these Rydberg excitations in TDLDA calculations.
    • The study provides explanations for this observed accuracy and identifies limitations.

    Conclusions:

    • TDLDA can be a reliable method for calculating optical spectra, including Rydberg excitations.
    • The accurate representation of Rydberg excitations as continuum contributions is a key finding.
    • Understanding the conditions for TDLDA's accuracy is essential for its appropriate application in computational studies.