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Alternative approach to calculate two-center overlap matrix through deformed exponential function.

Fernando C Rangel1, Arthur A Mamiya, Heibbe C B de Oliveira

  • 1Instituto de Química, Universidade de Brasília, 70919-970 Brasília (DF), Brazil.

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Summary

This study introduces a faster method for calculating two-center overlap integrals using deformed exponential functions. This computational chemistry approach significantly reduces calculation time, especially for larger basis sets.

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Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Theoretical chemistry

Background:

  • Evaluating two-center overlap integrals is crucial for ab initio quantum chemistry calculations.
  • Standard methods can be computationally intensive, especially with increasing numbers of Gaussian primitives.
  • Efficiency improvements in integral evaluation can accelerate molecular property predictions.

Purpose of the Study:

  • To present a novel, computationally efficient approach for calculating two-center overlap integrals.
  • To demonstrate the accuracy of the proposed method by computing various molecular properties.
  • To implement and test the new method within the GAMESS quantum chemistry package.

Main Methods:

  • Utilized a deformed exponential function for evaluating two-center overlap integrals.
  • Compared computational time against the standard procedure, noting constant CPU time per element independent of Gaussian primitives (NG) versus NG2 dependence.
  • Employed STO-6G and 6-31G basis sets within Hartree–Fock (HF) and post-HF approximations.
  • Parametrized integrals for first and second-row elements.
  • Implemented the method in the GAMESS ab initio quantum chemistry package.

Main Results:

  • The proposed method offers a constant CPU time per overlap integral element, independent of the number of Gaussian primitives (NG).
  • The standard method's CPU time increases with NG squared.
  • Calculated molecular properties (dipole moments, hardness, atomic charges, bond indices, thermodynamic properties) showed good agreement, validating the accuracy of the new approach.
  • Successful implementation and testing within GAMESS.

Conclusions:

  • The deformed exponential function provides a computationally superior alternative for evaluating two-center overlap integrals.
  • The new method significantly enhances computational efficiency without sacrificing accuracy in predicting molecular properties.
  • This advancement has the potential to accelerate quantum chemical calculations and simulations.