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Published on: October 1, 2019

Perturbative Coordinate Descent Full Configuration Interaction.

Zhenlin Zhang1, Mingyu Qiu1, Yingzhou Li2

  • 1School of Emerging Technology, Hefei National Research Center for Physical Sciences at the Microscale, and Hefei National Laboratory, University of Science and Technology of China, Hefei, Anhui 230026, China.

Journal of Chemical Theory and Computation
|May 7, 2026
PubMed
Summary
This summary is machine-generated.

Coordinate descent full configuration interaction (CDFCI) methods are enhanced with two new perturbative extensions. These methods improve ground-state energy calculations for molecular systems, offering greater accuracy and efficiency.

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Area of Science:

  • Quantum chemistry
  • Computational chemistry
  • Theoretical chemistry

Background:

  • Accurate calculation of ground-state energies is crucial for understanding molecular systems.
  • Full configuration interaction (FCI) methods provide high accuracy but are computationally expensive.
  • Coordinate descent full configuration interaction (CDFCI) offers an efficient approach to FCI calculations.

Purpose of the Study:

  • To introduce two novel perturbative extensions of the CDFCI method.
  • To enhance the accuracy of ground-state energy calculations.
  • To address limitations of existing perturbative approaches in computational chemistry.

Main Methods:

  • Development of direct CDFCI + Perturbation Theory (PT).
  • Introduction of iterative perturbative CDFCI (IP-CDFCI) to manage large perturbative spaces.
  • Implementation of sparse vector storage (c, b, d) and Hamiltonian diagonal elements (h) for memory and time efficiency.
  • Utilization of quadruple-precision floating-point numbers for improved numerical stability.

Main Results:

  • The proposed methods, CDFCI + PT and IP-CDFCI, effectively correct variational energies.
  • IP-CDFCI avoids large perturbative spaces and leverages variational stage information.
  • Memory usage is optimized by utilizing redundant storage and a vector for Hamiltonian diagonals.
  • Significant reduction in computational time is achieved through efficient memory management and calculation strategies.
  • Demonstrated effectiveness on small molecular benchmarks and the challenging chromium dimer system.

Conclusions:

  • The developed perturbative extensions of CDFCI significantly improve the accuracy and efficiency of ground-state energy calculations.
  • IP-CDFCI offers a practical approach for handling complex molecular systems by optimizing computational resources.
  • The use of quadruple precision enhances the reliability of perturbative energy computations.
  • These advancements provide valuable tools for theoretical and computational chemists studying molecular systems.