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A simple and efficient CCSD(T)-F12 approximation.

Thomas B Adler1, Gerald Knizia, Hans-Joachim Werner

  • 1Institut für Theoretische Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany.

The Journal of Chemical Physics
|December 18, 2007
PubMed
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A new explicitly correlated coupled cluster singles and doubles with perturbative triples-F12 (CCSD(T)-F12) method accelerates calculations. This approach enhances accuracy and significantly reduces computational cost for molecular energies and reaction predictions.

Area of Science:

  • Quantum Chemistry
  • Computational Chemistry

Background:

  • Coupled cluster methods are essential for accurate electronic structure calculations.
  • Basis set convergence is a critical challenge in computational chemistry.
  • Explicitly correlated methods aim to improve basis set convergence.

Purpose of the Study:

  • To introduce and validate a new explicitly correlated coupled cluster singles and doubles with perturbative triples-F12 (CCSD(T)-F12) approximation.
  • To assess the performance of CCSD(T)-F12 for molecular energies and chemical reaction energetics.
  • To evaluate the efficiency and accuracy compared to standard coupled cluster methods.

Main Methods:

  • Development of the CCSD(T)-F12 approximation incorporating F12 correlation factors.
  • Application of the method to a test set of 23 molecules.

Related Experiment Videos

  • Testing on 15 chemical reactions to evaluate reaction energies.
  • Comparison with standard CCSD(T) calculations using large basis sets.
  • Main Results:

    • The CCSD(T)-F12 correction significantly improves basis set convergence for correlation and reaction energies.
    • Errors in Hartree-Fock contributions were mitigated by including MP2 single excitations in the auxiliary basis set.
    • CCSD(T)-F12 calculations using aug-cc-pVTZ basis sets showed higher accuracy.
    • The new method achieved results comparable to standard CCSD(T)/aug-cc-pV5Z but was two orders of magnitude faster.

    Conclusions:

    • The CCSD(T)-F12 approximation offers a computationally efficient route to highly accurate results.
    • This method overcomes limitations of basis set incompleteness in standard coupled cluster calculations.
    • CCSD(T)-F12 is a promising tool for accurate predictions in quantum chemistry and reaction modeling.