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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
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Experiments with electric charges have shown that if two objects each have an electric charge, they exert an electric force on each other. The magnitude of the force is linearly proportional to the net charge on each object and inversely proportional to the square of the distance between them. The direction of the force vector is along the imaginary line joining the two objects and is dictated by the signs of the charges involved.
Newton's third law applies to the Coulomb force — the...
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Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.
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An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
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Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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Related Experiment Video

Updated: Apr 25, 2026

Author Spotlight: Magnetometric Characterization of Intermediates in the Solid-State Electrochemistry of Redox-Active Metal-Organic Frameworks
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Coulomb interaction parameters in bcc iron: an LDA+DMFT study.

A S Belozerov1, V I Anisimov

  • 1Institute of Metal Physics, 620990 Ekaterinburg, Russia. Ural Federal University, 620990 Ekaterinburg, Russia.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|August 27, 2014
PubMed
Summary

Hund

Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Computational Physics

Background:

  • Paramagnetic bcc Fe electronic structure and magnetic properties are complex.
  • Accurately modeling Coulomb interactions is crucial for predicting material behavior.

Purpose of the Study:

  • Investigate the influence of Coulomb interaction parameters on bcc Fe.
  • Determine the relative importance of Hubbard U and Hund's rule coupling J.

Main Methods:

  • Local density approximation plus dynamical mean-field theory (LDA+DMFT).
  • Constrained density functional theory (DFT) in a Wannier function basis.
  • Considered density-density and spin-rotationally invariant forms of Coulomb interaction.

Main Results:

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  • Hund's rule coupling (J) significantly impacts magnetic properties more than Hubbard U.
  • Calculated U = 4 eV and J = 0.9 eV yield good agreement with experimental data.
  • Correlation effects from U are weak, even at U = 6 eV.

Conclusions:

  • LDA+DMFT provides accurate predictions for bcc Fe magnetic properties.
  • J plays a dominant role, challenging common assumptions about U's significance.
  • Parameter tuning improves agreement with experimental Curie temperatures and magnetic moments.