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Many-Body Energy Decomposition with Basis Set Superposition Error Corrections.

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This study compares two methods for calculating many-body energy decompositions with counterpoise corrections. The hierarchical scheme is preferred for its physical accuracy, avoiding unphysical dependencies in energy components.

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Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Theoretical chemistry

Background:

  • Accurate energy decomposition is crucial for understanding molecular interactions.
  • Boys-Bernardi counterpoise correction is standard for mitigating basis set superposition error (BSSE).
  • Existing many-body energy decomposition schemes with BSSE corrections have differing interpretations.

Purpose of the Study:

  • To analyze and compare two distinct schemes for many-body energy decomposition in the presence of BSSE corrections.
  • To determine the physically preferred scheme for accurate energy component analysis.

Main Methods:

  • Review and critical analysis of two proposed schemes for many-body energy decomposition with BSSE corrections.
  • Evaluation of the physical implications of each scheme regarding basis set superposition error.

Main Results:

  • Two schemes for many-body energy decomposition with BSSE corrections stem from different interpretations of the Boys-Bernardi counterpoise method.
  • The hierarchical scheme by Valiron and Mayer is shown to be physically superior.
  • The alternative scheme by Ouyang and Bettens introduces unphysical dependencies.

Conclusions:

  • The hierarchical scheme is recommended for many-body energy decomposition with BSSE corrections due to its physical soundness.
  • This scheme ensures that individual energy components (monomer, dimer, trimer, etc.) are independent of the arrangement of other subsystems.
  • Choosing the correct scheme is vital for reliable computational chemistry results.