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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Open-shell reduced density matrix functional theory.

Daniel R Rohr1, Katarzyna Pernal

  • 1Institute of Physics, Technical University of Łódź, Wólczańska 219, 90-924 Łódź, Poland. rohrdr@gmail.com

The Journal of Chemical Physics
|August 25, 2011
PubMed
Summary
This summary is machine-generated.

Open-shell reduced density matrix functional theory is established. The study finds a simple domain for ground states but not other spin states, and tests approximations for fractional spin error.

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Area of Science:

  • Quantum Chemistry
  • Computational Physics

Background:

  • Reduced Density Matrix Functional Theory (RDMFT) is a quantum mechanical approach to approximate the electronic structure of atoms and molecules.
  • Investigating the exact functional's domain is crucial for developing accurate RDMFT approximations.
  • Open-shell systems, crucial for describing radicals and excited states, present unique challenges for RDMFT.

Purpose of the Study:

  • To establish open-shell RDMFT by exploring the domain of the exact functional.
  • To identify conditions for exact density matrix functionals and test approximations.
  • To analyze the fractional spin error in approximate functionals and its relation to static correlation.

Main Methods:

  • Investigation of the exact functional's domain for various spin states.
  • Formulation and testing of conditions for exact density matrix functionals.
  • Analysis of fractional spin error for approximate functionals, including the Buijse-Baerends (Müller) functional.
  • Numerical evaluation of approximate density and density matrix functionals for atomic systems.

Main Results:

  • A simple domain for the exact functional is identified for ground-state spin states, but it does not generalize to other spin states.
  • Conditions for exact density matrix functionals are formulated and tested.
  • The Buijse-Baerends (Müller) functional is proven to have a non-positive fractional spin error, which is zero for the H atom.
  • Numerical results for approximate functionals are presented for selected atoms.

Conclusions:

  • The study establishes a foundation for open-shell RDMFT by characterizing the exact functional's domain and properties.
  • Approximate functionals, like the Buijse-Baerends functional, show promise in mitigating fractional spin error, a key component of static correlation.
  • Further development and testing of these functionals are warranted for accurate electronic structure calculations.