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Updated: Oct 27, 2025

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
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An improved Slater's transition state approximation.

Kimihiko Hirao1, Takahito Nakajima2, Bun Chan3

  • 1Fukui Institute for Fundamental Chemistry, Kyoto University, Takano, Nishihiraki-cho 34-4, Sakyo-ku, Kyoto 606-8103, Japan.

The Journal of Chemical Physics
|July 23, 2021
PubMed
Summary
This summary is machine-generated.

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Researchers extended Slater's transition state concept to approximate energy differences using orbital energies. This new method accurately reproduces calculations for occupied and valence orbitals, improving core electron binding energies.

Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Theoretical chemistry

Background:

  • Slater's transition state (TS) concept approximates energy differences using electronic structure calculations.
  • Accurate calculation of ionization and binding energies is crucial in quantum chemistry.

Purpose of the Study:

  • To extend Slater's transition state concept for approximating energy differences.
  • To validate the extended method using ionization energies of small molecules.
  • To assess the method's accuracy with Hartree-Fock (HF) and Kohn-Sham (KS) theories.

Main Methods:

  • Extended Slater's transition state concept using three orbital energies.
  • Performed calculations using Hartree-Fock (HF) and Kohn-Sham (KS) theories.
  • Utilized B3LYP and LCgau-core-BOP functionals for calculations.

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Last Updated: Oct 27, 2025

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  • Validated the method with ionization energies of H2O, CO, and pyrrole.

    • Main Results:

    • The extended method accurately reproduces full Delta Self-Consistent Field (SCF) results for HF occupied orbitals and KS valence orbitals.
    • Significant improvement in core electron binding energies was observed for KS core orbitals, despite inherent self-interaction errors.
    • The method demonstrates high accuracy for occupied and valence orbitals across different theoretical frameworks.

    Conclusions:

    • The extended transition state method provides an accurate approximation for energy differences, particularly for occupied and valence orbitals.
    • The approach offers conceptual insights into SCF-type orbital theories.
    • While not yet fully practical, the method is a valuable conceptual tool for understanding electronic structure.