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Local-hybrid functional based on the correlation length.

Erin R Johnson1

  • 1Chemistry and Chemical Biology, School of Natural Sciences, University of California, Merced, 5200 North Lake Road, Merced, California 95343, USA.

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Summary
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Local-hybrid functionals improve performance by using position-dependent mixing. This new method, using same-spin correlation length, significantly outperforms global hybrids in thermochemical and kinetics benchmarks.

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Materials Science

Background:

  • Conventional hybrid functionals suffer from delocalization errors and poor long-range behavior.
  • Local-hybrid functionals offer a potential solution through position-dependent mixing of exchange interactions.

Purpose of the Study:

  • To introduce and evaluate a novel local-hybrid functional.
  • To assess its performance against conventional global hybrids for thermochemical and kinetics predictions.

Main Methods:

  • Developed a local-hybrid functional using same-spin correlation length derived from the Fermi-hole radius as the mixing parameter.
  • Evaluated the functional using standard thermochemical and kinetics benchmark datasets.

Main Results:

  • The developed local-hybrid functional demonstrated significantly improved performance compared to the corresponding global hybrid.
  • The functional showed superior accuracy across nearly all tested thermochemical and kinetics benchmarks.

Conclusions:

  • The proposed local-hybrid functional effectively reduces delocalization errors and improves long-range behavior.
  • This approach represents a significant advancement over global hybrid functionals for accurate quantum chemical calculations.