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Related Experiment Videos

Double excitations within time-dependent density functional theory linear response.

Neepa T Maitra1, Fan Zhang, Robert J Cave

  • 1Department of Physics and Astronomy, City University of New York and Hunter College, New York, New York 10021, USA. nmaitra@hunter.cuny.edu

The Journal of Chemical Physics
|July 23, 2004
PubMed
Summary
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Time-dependent density functional theory struggles with double excitations. This study derives an exact frequency-dependent kernel for mixed single-double excitations, improving theoretical models in quantum chemistry.

Area of Science:

  • Quantum Chemistry
  • Computational Physics
  • Theoretical Chemistry

Background:

  • Time-dependent density functional theory (TD-DFT) within the adiabatic approximation primarily describes single electronic excitations.
  • Accurately capturing double excitations in TD-DFT remains a significant challenge due to the complex nature of the exchange-correlation kernel.

Purpose of the Study:

  • To derive the exact frequency-dependent exchange-correlation kernel for systems where double excitations mix with single excitations.
  • To develop a nonempirical approximation for the general case of double excitations in TD-DFT.

Main Methods:

  • Derivation of the exact exchange-correlation kernel in the limit of weak electron-electron interaction for mixed single-double excitations.
  • Construction of a nonempirical approximation based on the derived exact kernel.

Related Experiment Videos

  • Illustration of the approximation using a simplified model system.
  • Main Results:

    • The exact frequency-dependent kernel is derived for specific conditions of mixed single-double excitations.
    • A practical, nonempirical approximation for the exchange-correlation kernel is proposed.
    • The performance of the approximation is demonstrated on a model system.

    Conclusions:

    • The developed approximation offers a pathway to improve the description of double excitations in TD-DFT.
    • This work provides a theoretical foundation for more accurate excited-state calculations.
    • Further applications and refinements of the approximation are warranted for broader chemical systems.