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Semiclassical model for atoms.

R G Pearson1

  • 1Department of Chemistry, University of California, Santa Barbara, California 93106.

Proceedings of the National Academy of Sciences of the United States of America
|July 1, 1981
PubMed
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This study introduces a simple semiclassical model for calculating atomic energies, improving upon Bohr

Area of Science:

  • Atomic physics
  • Quantum mechanics
  • Computational chemistry

Background:

  • Bohr's model provides a foundational understanding of atomic structure.
  • Accurate calculation of atomic energies is crucial for predicting chemical behavior.
  • Existing methods like Hartree-Fock have limitations in certain calculations.

Purpose of the Study:

  • To develop a simplified semiclassical model for calculating atomic energies.
  • To assess the model's accuracy for two- and three-electron systems.
  • To compare the model's performance against established methods like Hartree-Fock.

Main Methods:

  • Employs a semiclassical approach, modifying Bohr's original method.
  • Replaces fixed electron orbits with probability distribution functions derived from classical dynamics.

Related Experiment Videos

  • Calculates energies for ground and excited states of atoms.

    • Main Results:

    • The model successfully calculates energies for two- and three-electron atoms.
    • Achieved energy values superior to those obtained by Hartree-Fock calculations.
    • Identified the necessity for an exchange-energy correction for further refinement.

    Conclusions:

    • The proposed semiclassical model offers a simpler and more accurate alternative for atomic energy calculations.
    • The model demonstrates potential for broader applications in atomic and molecular physics.
    • Further development is needed to incorporate exchange-energy corrections for enhanced precision.