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Scaled density functional theory correlation functionals.

Mohammed M Ghouri1, Saurabh Singh, B Ramachandran

  • 1Institute for Micromanufacturing, and Chemistry, College of Engineering and Science, Louisiana Tech University, Ruston, Louisiana 71272, USA.

The Journal of Physical Chemistry. A
|July 3, 2007
PubMed
Summary
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Scaling dynamical correlation energy in density functional theory (DFT) improves accuracy. The scaled dynamical correlation (SDC) method systematically reduces errors for various DFT functionals, enhancing computational chemistry predictions.

Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Materials science

Background:

  • Density functional theory (DFT) is a widely used method for electronic structure calculations.
  • Accuracy of DFT is often limited by approximations in correlation energy functionals.
  • Systematic errors in DFT calculations can hinder reliable predictions.

Purpose of the Study:

  • To investigate the effectiveness of a one-parameter scaling approach for dynamical correlation energy.
  • To improve the accuracy of local and nonlocal DFT correlation functionals.
  • To assess the impact of scaled dynamical correlation (SDC) on various DFT functionals.

Main Methods:

  • Applied the scaled dynamical correlation (SDC) method to five local and five nonlocal (hybrid) DFT functionals.

Related Experiment Videos

  • Optimized scale factors using a dataset of 98 molecules, ions, and transition states.
  • Utilized linear regression to determine optimal scale factors and assess correlations.

    • Main Results:

    • A simple one-parameter scaling of dynamical correlation energy significantly enhances DFT accuracy.
    • Optimum scale factors consistently deviated from unity, indicating systematic errors.
    • SDC scaling substantially decreased both signed and unsigned mean errors for most functionals.
    • The method showed high correlation between scale factors and deviations from experimental values.

    Conclusions:

    • The scaled dynamical correlation (SDC) method offers a valuable improvement for DFT calculations.
    • Further parametrization of exchange-correlation functionals could yield additional accuracy gains.
    • SDC provides a promising avenue for more reliable computational chemistry predictions.