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Assessing the global natural orbital functional approximation on model systems with strong correlation.

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Global natural orbital functional (GNOF) approximations effectively capture electron correlation in strongly correlated systems. This study validates GNOF

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Theoretical Chemistry

Background:

  • Natural Orbital Functional (NOF) approximations are key for electron correlation.
  • Existing NOF methods often need hybridization for complete correlation.
  • Global NOF (GNOF) was recently proposed to address dynamic and static correlations.

Purpose of the Study:

  • To evaluate the performance of the global natural orbital functional (GNOF) approximation.
  • To assess GNOF on strongly correlated model systems.
  • To compare GNOF results with highly accurate Full Configuration Interaction calculations.

Main Methods:

  • Application of the global natural orbital functional (GNOF) approximation.
  • Testing on one-, two-, and three-dimensional hydrogen atom clusters.
  • Analysis of a beryllium hydride (BeH2) reaction pathway (C2v symmetry).

Main Results:

  • GNOF demonstrates consistent performance across diverse correlation regimes.
  • Observed consistent behavior across various occupation numbers and orbital schemes.
  • Identified distinct features related to system dimensionality.

Conclusions:

  • GNOF provides a robust framework for characterizing electron correlation.
  • The method shows promise for strongly correlated systems and varying dimensions.
  • Further investigation into GNOF's capabilities is warranted.