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Related Concept Videos

Valence Bond Theory02:42

Valence Bond Theory

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...
Colors and Magnetism03:02

Colors and Magnetism

Color in Coordination Complexes
When atoms or molecules absorb light at the proper frequency, their electrons are excited to higher-energy orbitals. For many main group atoms and molecules, the absorbed photons are in the ultraviolet range of the electromagnetic spectrum, which cannot be detected by the human eye. For coordination compounds, the energy difference between the d orbitals often allows photons in the visible range to be absorbed and emitted, which is seen as colors by the human eye.
Ionic Crystal Structures02:42

Ionic Crystal Structures

Ionic crystals consist of two or more different kinds of ions that usually have different sizes. The packing of these ions into a crystal structure is more complex than the packing of metal atoms that are the same size.
Most monatomic ions behave as charged spheres, and their attraction for ions of opposite charge is the same in every direction. Consequently, stable structures for ionic compounds result (1) when ions of one charge are surrounded by as many ions as possible of the opposite...
Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

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...
Molecular Orbital Theory II03:51

Molecular Orbital Theory II

Molecular Orbital Energy Diagrams

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Comparison of Two Different Synthesis Methods of Single Crystals of Superconducting Uranium Ditelluride
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Hexadecapolar Kondo effect in URu2Si2?

Anna I Tóth1, Gabriel Kotliar

  • 1Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854-8019, USA.

Physical Review Letters
|January 17, 2012
PubMed
Summary
This summary is machine-generated.

We present a model for hexadecapolar Kondo effects in materials with tetragonal symmetry. This model explains experimental data for uranium ruthenium silicide compounds.

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Area of Science:

  • Condensed matter physics
  • Quantum magnetism
  • Materials science

Background:

  • Localized multipolar degrees of freedom can couple to conduction electrons.
  • Tetragonal symmetry imposes specific constraints on these interactions.
  • Understanding these couplings is key to novel quantum phenomena.

Purpose of the Study:

  • To derive the coupling of a localized hexadecapolar mode to conduction electrons in tetragonal symmetry.
  • To relate this coupling to the two-channel Kondo (2CK) model.
  • To discuss potential experimental realizations in URu(2)Si(2).

Main Methods:

  • Derivation of a model for hexadecapolar-electron coupling.
  • Analysis of the model in the context of the 2CK model.
  • Comparison with experimental data (susceptibility, specific heat).

Main Results:

  • A general derivation of multipolar couplings is presented.
  • For f(2) configurations, crystal field splitting is intrinsic to tetragonal symmetry alongside 2CK interaction.
  • The model shows good agreement with experimental measurements in Th(1-x)U(x)Ru(2)Si(2).

Conclusions:

  • The derived model successfully describes the hexadecapolar Kondo effect.
  • The findings are relevant for understanding complex magnetic behaviors in heavy fermion systems.
  • URu(2)Si(2) is a promising candidate for observing these effects.