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An improved density matrix functional by physically motivated repulsive corrections.

Oleg Gritsenko1, Katarzyna Pernal, Evert Jan Baerends

  • 1Afdeling Theoretische Chemie, Vrije Universiteit, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands.

The Journal of Chemical Physics
|June 11, 2005
PubMed
Summary

An improved density matrix functional, BBC, enhances accuracy by adding repulsive corrections to the BB functional. This new method accurately describes molecular bonds and improves potential energy curves for small molecules.

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Density Matrix Functional Theory

Background:

  • The Buijse and Baerends (BB) functional strongly overbinds, limiting its accuracy.
  • Accurate description of electron correlation is crucial for molecular properties.

Purpose of the Study:

  • To develop an improved density matrix functional (BBC) with physically motivated repulsive corrections.
  • To enhance the accuracy of potential energy curves and correlation energies.

Main Methods:

  • A hierarchy of repulsive corrections (C1, C2, C3) applied to the BB functional.
  • Restoring exchange-correlation interaction in weakly occupied natural orbitals (C1).
  • Reducing interaction in strongly occupied natural orbitals to exchange-type (C2).

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  • Addressing antibonding orbital interactions and selective cancellation of terms (C3).

    • Main Results:

    • The BBC functional retains accurate description of nondynamical correlation for dissociating bonds.
    • Significant improvement in potential energy curves for prototype few-electron molecules.
    • Reproduces benchmark ab initio potential curves well in several cases.
    • Average error of self-consistent correlation energies is approximately 6% for atomic and molecular systems.

    Conclusions:

    • The BBC functional offers a substantial improvement over the BB functional.
    • Accurate modeling of electron correlation and molecular potential energy curves is achieved.
    • BBC provides a reliable tool for electronic structure calculations in quantum chemistry.