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Long-range Coulomb forces and localized bonds.

Preiser1, Lösel, Brown

  • 1Institut für Anorganische Chemie, Johann Wolfgang Goethe-Universität, Frankfurt/Main, Germany.

Acta Crystallographica. Section B, Structural Science
|August 6, 2000
PubMed
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The ionic model accurately describes inorganic compounds by showing how electric fields form bonds. This research provides a theoretical basis for the bond-valence model and defines coordination numbers.

Area of Science:

  • Solid-state chemistry
  • Materials science
  • Crystallography

Background:

  • The ionic model's applicability is limited by assumptions of net atomic charges and spherical electron density.
  • Understanding bonding in inorganic compounds requires a robust theoretical framework.

Purpose of the Study:

  • To establish a theoretical foundation for the bond-valence model using Coulombic interactions.
  • To demonstrate the applicability of the ionic model to a wide range of inorganic compounds.
  • To define coordination numbers and analyze weak bonding interactions.

Main Methods:

  • Examined electric fields generated by point charges representing ions in over 40 inorganic compounds.
  • Applied Gauss' law to analyze electric flux and its relation to bond valence and valence-sum rules.

Related Experiment Videos

  • Calculated bond fluxes for ions with both spherical and non-spherical electron densities.

    • Main Results:

    • The Coulomb field naturally partitions into localized regions (bonds) characterized by electric flux between ions.
    • Identified electric flux with bond valence, and Gauss' law with the valence-sum rule, validating the bond-valence model.
    • Demonstrated localization of the Coulomb field for unambiguous coordination number definition, including weak second-sphere interactions.

    Conclusions:

    • The ionic model, when considering Coulombic interactions, provides a secure theoretical foundation for the bond-valence model.
    • The study successfully defines coordination numbers and identifies weak bonds within crystal structures.
    • The model is extendable to ions with non-spherical electron densities by incorporating multipoles.