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Efficient configuration selection scheme for vibrational second-order perturbation theory.

Kiyoshi Yagi1, So Hirata, Kimihiko Hirao

  • 1Department of Applied Chemistry, School of Engineering, The University of Tokyo, Tokyo 113-8656, Japan.

The Journal of Chemical Physics
|July 28, 2007
PubMed
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A new algorithm significantly speeds up vibrational second-order Moller-Plesset perturbation theory calculations by reducing the number of configurations needed. This method accurately computes vibrational frequencies for molecules like formaldehyde with minimal error.

Area of Science:

  • Computational Chemistry
  • Theoretical Chemistry
  • Quantum Mechanics

Background:

  • Vibrational second-order Moller-Plesset perturbation theory (VMP2) is crucial for accurate molecular vibrational frequency calculations.
  • Traditional VMP2 methods require summing a large number of vibrational self-consistent-field (VSCF) configurations, leading to high computational cost.

Purpose of the Study:

  • To develop a fast algorithm for VMP2 calculations.
  • To significantly reduce the computational burden of VMP2 by minimizing the number of VSCF configurations.
  • To maintain high accuracy in computed vibrational frequencies.

Main Methods:

  • Proposed a novel algorithm for VMP2 calculations.
  • Identified important VSCF configurations a priori based on harmonic oscillator approximations.

Related Experiment Videos

  • Assumed negligible fifth- and higher-order anharmonicities for efficient configuration selection.

    • Main Results:

    • Achieved a reduction of more than 100 times in the number of VSCF configurations for formaldehyde, ethylene, and furazan.
    • Computed vibrational frequencies with an error not exceeding a few cm(-1).
    • Demonstrated the efficiency and accuracy of the proposed fast VMP2 algorithm.

    Conclusions:

    • The developed fast algorithm offers a substantial improvement in the computational efficiency of VMP2.
    • The method provides accurate vibrational frequencies, making it suitable for larger molecular systems.
    • This approach enables more feasible high-accuracy vibrational frequency analysis in computational chemistry.