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Revisiting Molecular Dissociation in Density Functional Theory: A Simple Model.

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This study models a simple molecule to reveal how the highest occupied molecular orbital impacts the Kohn-Sham potential during dissociation. It reproduces key features observed in real molecules, offering insights into molecular behavior.

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Area of Science:

  • Quantum chemistry
  • Computational physics
  • Theoretical chemistry

Background:

  • Understanding molecular behavior during dissociation is crucial in chemistry.
  • The Kohn-Sham potential is a key component in density functional theory (DFT).
  • Previous studies indicated specific features in the Kohn-Sham potential for dissociating molecules.

Purpose of the Study:

  • To investigate the influence of the highest occupied molecular orbital (HOMO) on the Kohn-Sham potential.
  • To analyze the development of characteristic features in the Kohn-Sham potential during molecular dissociation.
  • To explore the implications of these features for molecular dynamics and response.

Main Methods:

  • A simplified two-electron, one-dimensional model of a heteroatomic molecule.
  • Focusing on the dissociation process and the behavior of the HOMO.
  • Analyzing the Kohn-Sham potential as a function of internuclear separation.

Main Results:

  • Successfully reproduced the step and peak features in the Kohn-Sham potential during dissociation.
  • Demonstrated that these features arise in the low-density internuclear region.
  • Identified the onset of the step feature with the approach of an avoided crossing between states.

Conclusions:

  • The simplified model provides valuable insights into the Kohn-Sham potential's behavior during dissociation.
  • The observed step and peak features, while not impacting ground-state energy, are significant for molecular dynamics.
  • This work deepens the understanding of electronic structure and potential behavior in dissociating systems.