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Related Experiment Video

Updated: Feb 18, 2026

Spatial Separation of Molecular Conformers and Clusters
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A reference-free stockholder partitioning method based on the force on electrons.

Stijn Fias1, Farnaz Heidar-Zadeh1,2,3, James S M Anderson4

  • 1Department of Chemistry & Chemical Biology, McMaster University, Hamilton, Ontario, Canada L8S 4M1.

Journal of Computational Chemistry
|November 20, 2017
PubMed
Summary

This study proposes a new method for dividing molecular properties into atom contributions, focusing on property density rather than electron density. This reference-free approach offers advantages but faces challenges with degenerate states and numerical accuracy.

Keywords:
atoms in moleculesconceptual density functional theoryehrenfest forcehirshfeld partitioninglinear response functionsoftness kernelstockholder population analysis

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Theoretical Chemistry

Background:

  • Traditional methods for partitioning molecular properties into atom-in-a-molecule contributions often rely heavily on electron density.
  • This reliance on electron density can be limiting and may not accurately represent all molecular properties.

Purpose of the Study:

  • To introduce a novel partitioning method for molecular properties based on property density.
  • To develop a reference-free approach for atom-in-a-molecule property division.
  • To address the limitations of electron density-centric partitioning methods.

Main Methods:

  • A stockholder partitioning method is proposed, utilizing the relative influence of atomic nuclei on electrons.
  • The method avoids direct reference to atomic property densities, offering a reference-free framework.
  • Focuses on partitioning based on the density of the property itself.

Main Results:

  • The proposed method assigns all electron density at an atomic nucleus to that nucleus.
  • Atoms in a molecule exhibit a uniform asymptotic decay rate.
  • The method is independent of arbitrary reference atom choices.

Conclusions:

  • The developed partitioning strategy offers a conceptually different approach to atom-in-a-molecule properties.
  • Challenges remain in applying the method to spatially degenerate ground states.
  • Initial numerical results were disappointing, indicating a need for further refinement.