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Dispersion of Nanomaterials in Aqueous Media: Towards Protocol Optimization
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Is Counterpoise Method a Proper Procedure for Evaluating the Dispersion Energy?

Suehiro Iwata1, Yuki Kano2, Hidenori Matsuzawa2

  • 1Institute of Molecular Science and Graduate University of Advanced Studies, Okazaki, Japan.

Journal of Computational Chemistry
|December 31, 2025
PubMed
Summary

The counterpoise (CP) method corrects basis set superposition error (BSSE) in rare gas dimers. However, it can artificially deepen potential energy curves by overcorrecting electron correlation energy, impacting noncovalent interaction studies.

Keywords:
BSSEcounterpoise methoddispersion energyorbital and configuration basis inconsistencies

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Theoretical Chemistry

Background:

  • The counterpoise (CP) method is standard for correcting basis set superposition error (BSSE) in supermolecular calculations.
  • Noncovalent interactions, crucial in molecular systems, are often studied using computational methods that require BSSE correction.

Purpose of the Study:

  • To critically examine the effectiveness of the CP method in correcting BSSE for rare gas dimers.
  • To investigate the impact of CP correction on potential energy curves at various theoretical levels and basis set sizes.

Main Methods:

  • Calculations of potential energy curves for He2, Ne2, and Ar2 dimers.
  • Application of CP correction and comparison with uncorrected results.
  • Utilized aug-cc-pVxZ basis sets (x=D, T, Q, 5) and theoretical levels (HF, MP2, MP4, CCSD(T)).

Main Results:

  • CP correction effectively removes BSSE in Hartree-Fock (HF) energies.
  • Applying CP correction to electron correlation energy results in a positive BSSE, leading to shallower potential energy curves.
  • The effect is more pronounced with smaller basis sets.

Conclusions:

  • The CP method's application to electron correlation energy components requires careful consideration due to potential overcorrection.
  • Orbital basis inconsistency (OBI) and configuration basis inconsistency (CBI) explain the contrasting behavior of HF and correlation energy components.
  • Findings highlight the need for nuanced application of CP correction in noncovalent interaction studies.