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Atomic Scale Structural Studies of Macromolecular Assemblies by Solid-state Nuclear Magnetic Resonance Spectroscopy
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The Shell Structure of Atoms.

Georg Eickerling1, Markus Reiher1

  • 1Laboratorium für Physikalische Chemie, ETH Zurich, Hönggerberg Campus, Wolfgang-Pauli-Strasse 10, CH-8093 Zurich, Switzerland.

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Summary
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The Laplacian of electron density reveals atomic shell structures, but fails for heavy elements. This study shows inner shell nodal structures diminish valence shells in transition metals.

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Area of Science:

  • Quantum Chemistry
  • Atomic Physics
  • Computational Chemistry

Background:

  • Atomic shell structure is not directly visible in total electron density.
  • Various localization functions exist to visualize atomic shells.
  • Existing methods fail for heavy elements and transition metals.

Purpose of the Study:

  • To investigate the radial structure of isolated atoms using the Laplacian of electron density.
  • To understand why some electronic shells diminish in heavy elements and transition metals.
  • To assess the experimental feasibility of observing these topological changes.

Main Methods:

  • Focus on the Laplacian of the electron density to analyze radial atomic structure.
  • Utilize a fully relativistic, four-component computational approach.
  • Employ a multiconfigurational ansatz for the wave function, applicable to all elements.

Main Results:

  • Demonstrate that the nodal structure of inner shell orbitals causes the diminution of valence shells in third-row transition metals.
  • Analyze the impact of different electronic configurations on atomic shell structure.
  • Evaluate the magnitude of changes in the Laplacian of radial density for experimental relevance.

Conclusions:

  • The nodal structure of inner orbitals is key to understanding valence shell diminution in transition metals.
  • Relativistic, multiconfigurational methods provide a general framework for studying atomic shell structure across the periodic table.
  • Observed changes in the Laplacian of radial density may be experimentally detectable.