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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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A first-principles study of weakly bound molecules using exact exchange and the random phase approximation.

Huy-Viet Nguyen1, Giulia Galli

  • 1Department of Chemistry, University of California, Davis, California 95616, USA. vsmnguyen@ucdavis.edu

The Journal of Chemical Physics
|February 2, 2010
PubMed
Summary

This study improves binding energy calculations for rare gas and alkaline-earth dimers using exact exchange and random phase approximation methods. The new approach enhances accuracy, especially at large distances, offering better agreement with experimental data.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Materials Science

Background:

  • Density Functional Theory (DFT) approximations often struggle with accurate binding energy calculations for van der Waals systems.
  • Local and semilocal DFT approximations exhibit limitations in describing long-range interactions in dimers.

Purpose of the Study:

  • To investigate the binding energy (BE) curves of rare gas and alkaline-earth dimers.
  • To improve the accuracy of potential energy curves compared to standard DFT methods.
  • To explore the efficacy of exact exchange (EXX) and random phase approximation (RPA) for describing these systems.

Main Methods:

  • Utilized an energy functional incorporating exact exchange (EXX) and correlation energies within the random phase approximation (RPA).
  • Calculated equilibrium positions and long-range behavior of potential energy curves.
  • Introduced a tight-binding approach for efficient calculation of dielectric matrix eigenvalues.

Main Results:

  • EXX/RPA significantly improves potential energy curves and binding energies for rare gas dimers compared to local/semilocal DFT.
  • Accuracy for Ar and Kr dimers is comparable to van der Waals DFT, with better agreement at large separations.
  • Identified potential shortcomings in EXX/RPA, possibly due to lack of self-consistency, affecting alkaline-earth dimer descriptions (e.g., Be2).

Conclusions:

  • EXX/RPA offers a substantial improvement for calculating binding energies of rare gas dimers.
  • The proposed tight-binding method enhances the computational efficiency of EXX/RPA calculations.
  • Addressing self-consistency in EXX/RPA is crucial for accurate potential energy curves of alkaline-earth dimers.