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Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
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Communication: efficient counterpoise corrections by a perturbative approach.

Jia Deng1, Andrew T B Gilbert, Peter M W Gill

  • 1Research School of Chemistry, The Australian National University, ACT 0200, Australia.

The Journal of Chemical Physics
|September 8, 2011
PubMed
Summary

We present faster, accurate methods for calculating counterpoise corrections (CPC) using perturbative approaches. These techniques recover over 95% of the CPC, offering a significant computational speedup for interaction energy calculations.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Theoretical Chemistry

Background:

  • Basis set superposition errors (BSSE) are significant in calculating interaction energies for weakly bound systems.
  • Accurate estimation of counterpoise correction (CPC) is crucial for reliable interaction energy calculations.
  • Conventional CPC methods can be computationally expensive.

Purpose of the Study:

  • To investigate the efficacy of Hartree-Fock and density functional perturbative corrections for estimating CPC.
  • To evaluate the performance of these perturbative approaches on the S22 dataset of weakly bound systems.
  • To assess the computational speedup offered by perturbative CPC methods compared to conventional approaches.

Main Methods:

  • Utilized Hartree-Fock and density functional perturbative corrections.
  • Employed various popular basis sets for calculations.
  • Tested the methods on the S22 set of weakly bound molecular systems.
  • Compared computational times with conventional CPC calculation methods.

Main Results:

  • Perturbative approaches successfully recovered over 95% of the counterpoise correction.
  • The new methods demonstrated significant computational efficiency, being up to twelve times faster than conventional CPC calculations.
  • The S22 dataset, known for large BSSE, was effectively analyzed.

Conclusions:

  • Perturbative corrections offer a computationally attractive and accurate alternative for estimating CPC.
  • These methods provide a valuable tool for researchers dealing with interaction energy calculations in weakly bound systems.
  • The developed approach significantly reduces the computational cost associated with accurate BSSE correction.