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Scalable implementation of analytic gradients for second-order Z-averaged perturbation theory using the distributed

Christine M Aikens1, Graham D Fletcher, Michael W Schmidt

  • 1Department of Chemistry, Iowa State University, Ames, IA 50011, USA.

The Journal of Chemical Physics
|January 18, 2006
PubMed
Summary

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This study revises the analytic gradient for second-order Z-averaged perturbation theory and details its parallel implementation. The optimized algorithm enhances computational efficiency for quantum chemistry calculations.

Area of Science:

  • Computational Chemistry
  • Quantum Mechanics
  • Theoretical Chemistry

Background:

  • Second-order Z-averaged perturbation theory (ZAPT2) is crucial for calculating molecular properties.
  • Efficient parallel implementation of analytic gradients is needed for large-scale computations.
  • Existing methods may face challenges with communication costs and convergence.

Purpose of the Study:

  • To revise the analytic gradient expression for second-order Z-averaged perturbation theory.
  • To describe a detailed parallel implementation of this revised gradient.
  • To improve the computational efficiency and scalability of ZAPT2 calculations.

Main Methods:

  • The study revises the analytic gradient expression for ZAPT2.
  • A parallel implementation is developed using a distributed data interface for molecular-orbital integral arrays.

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  • The algorithm prioritizes local data access and minimizes communication overhead.
  • Iterative solutions and a preconditioner are employed for coupled-perturbed Hartree-Fock (CPHF) equations.

    • Main Results:

    • The revised analytic gradient expression is presented.
    • A detailed description of the parallel implementation is provided.
    • The algorithm demonstrates efficient use of distributed memory and reduced communication costs.
    • Illustrative timing examples showcase the performance of the implementation.

    Conclusions:

    • The revised analytic gradient and its parallel implementation offer an efficient approach for ZAPT2 calculations.
    • The developed algorithm effectively manages distributed data and minimizes communication, leading to improved performance.
    • This work contributes to the advancement of computational methods in quantum chemistry.