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Double-hybrid density-functional theory with meta-generalized-gradient approximations.

Sidi M O Souvi1, Kamal Sharkas1, Julien Toulouse1

  • 1Sorbonne Universités, UPMC Univ Paris 06, UMR 7616, Laboratoire de Chimie Théorique, F-75005 Paris, France.

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|March 5, 2014
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Summary
This summary is machine-generated.

We developed a new one-parameter double-hybrid density functional theory method using meta-generalized-gradient-approximation (meta-GGA) exchange-correlation functionals. This approach accurately predicts atomization energies and reaction barriers, improving upon existing methods.

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Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Density-functional theory

Background:

  • One-parameter double-hybrid density-functional theory (DH-DFT) offers a balance between accuracy and computational cost.
  • Meta-generalized-gradient-approximation (meta-GGA) functionals incorporate more information about the electronic structure than GGAs.

Purpose of the Study:

  • To extend one-parameter DH-DFT to meta-GGA exchange-correlation functionals.
  • To develop and evaluate new DH-DFT approximations based on the Tao-Perdew-Staroverov-Scuseria (TPSS) meta-GGA functional.

Main Methods:

  • Construction of several one-parameter DH-DFT variants using the TPSS meta-GGA functional.
  • Testing the performance of these variants on datasets of atomization energies and reaction barrier heights.
  • Application of uniform coordinate scaling to the density and kinetic energy density in the correlation functional.

Main Results:

  • The developed one-parameter double-hybrid meta-GGA functionals show improved accuracy for atomization energies and reaction barrier heights.
  • The most accurate variant, employing uniform coordinate scaling, outperforms standard Kohn-Sham TPSS and second-order Møller-Plesset calculations.
  • Successful integration of DH-DFT with meta-GGA functionals.

Conclusions:

  • The proposed one-parameter double-hybrid meta-GGA density functionals represent a significant advancement in electronic structure calculations.
  • This method provides a more accurate and efficient approach for predicting molecular properties.
  • The findings pave the way for more reliable computational chemistry predictions.