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The Hellmann-Feynman theorem: a perspective.

Peter Politzer1, Jane S Murray2

  • 1Department of Chemistry, University of New Orleans, New Orleans, LA, 70148, USA. ppolitze@uno.edu.

Journal of Molecular Modeling
|September 2, 2018
PubMed
Summary
This summary is machine-generated.

The Hellmann-Feynman theorem offers profound conceptual insights into molecular properties, revealing that nuclear forces are Coulombic and molecular energies relate to electrostatic potentials. It highlights the conceptual, not just numerical, value of this theorem.

Keywords:
Chemical bondingCoulombic forcesDispersion forcesElectronic densitiesElectrostatic potentials at nucleiEnergiesHellmann-Feynman theorem

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Area of Science:

  • Quantum Chemistry
  • Theoretical Chemistry
  • Molecular Physics

Background:

  • The Hellmann-Feynman theorem is underutilized in scientific research.
  • Its potential for conceptual understanding of molecular properties is often overlooked.
  • This theorem provides a powerful framework for analyzing molecular behavior.

Purpose of the Study:

  • To highlight the conceptual significance of the Hellmann-Feynman theorem.
  • To demonstrate its application in understanding molecular forces and energies.
  • To underscore the complementary nature of energy and force analyses in chemistry.

Main Methods:

  • Conceptual analysis of the Hellmann-Feynman theorem.
  • Application of the theorem to derive fundamental molecular properties.
  • Illustrative examples of its conceptual contributions.

Main Results:

  • Forces on molecular nuclei are purely Coulombic.
  • Molecular total energies can be derived from electrostatic potentials at nuclei.
  • Dispersion forces arise from nucleus-electron density attraction.

Conclusions:

  • The Hellmann-Feynman theorem provides deep conceptual insights into molecular systems.
  • It reveals the electrostatic nature of interatomic forces and energy contributions.
  • Energy and force analyses are complementary, not competing, methods for molecular understanding.