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Dipole moments from atomic-number-dependent potentials in analytic density-functional theory.

Brett I Dunlap1, Shashi P Karna, Rajendra R Zope

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This study explores molecular dipole moments using analytic density-functional theory. Element-dependent exchange potentials minimally impact dipole moments, suggesting specific parameter choices for improved accuracy in computational chemistry.

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Area of Science:

  • Computational chemistry
  • Theoretical physics
  • Quantum mechanics

Background:

  • Analytic density-functional theory (DFT) is a powerful tool for molecular property prediction.
  • Molecular dipole moments are crucial for understanding intermolecular interactions and material properties.
  • Previous DFT methods have varying accuracy in predicting molecular dipole moments.

Purpose of the Study:

  • To investigate molecular dipole moments using analytic density-functional theory.
  • To examine the impact of element-dependent exchange potentials on dipole moment calculations.
  • To compare DFT results with conventional quantum-chemical methods and experimental data.

Main Methods:

  • Utilized analytic density-functional theory with a focus on the Kohn-Sham potential.
  • Investigated the effect of varying Slater's exchange parameter (alpha) on dipole moments.
  • Performed comparative analysis against established quantum-chemical methods and experimental data for a subset of the extended G2 set molecules.
  • Calculated the dipole moment for NH(2)(CH)(24)NO(2) to validate findings.

Main Results:

  • Fitting the Kohn-Sham potential achieved a mean absolute error of less than 0.1 D for molecular dipole moments.
  • Variations in alpha values demonstrated a significantly smaller effect on dipole moments compared to energies.
  • Recommended using the smaller of two alpha values for the heteroatomic part in variable alpha methods.
  • Calculations for NH(2)(CH)(24)NO(2) confirmed consistency with prior studies, showing short-ranged electrostatic effects for differing alpha values.

Conclusions:

  • Analytic DFT, particularly with a fitted Kohn-Sham potential, provides accurate molecular dipole moments.
  • Element-dependent exchange potentials have a limited influence on dipole moments, simplifying parameterization.
  • The choice of alpha parameter in variable alpha methods impacts dipole moments less than energies, with specific recommendations for heteroatomic systems.