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Related Concept Videos

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...
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...
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...
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
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,...

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Related Experiment Video

Updated: May 26, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
08:55

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Published on: June 7, 2018

Frustrated quantum spin models with cold Coulomb crystals.

A Bermudez1, J Almeida, F Schmidt-Kaler

  • 1Institut für Theoretische Physik, Universität Ulm, Germany.

Physical Review Letters
|December 21, 2011
PubMed
Summary

We propose a quantum simulation of magnetic frustration using zigzag cold-ion crystals. This method clarifies complex magnetic phases difficult to study numerically, offering experimental feasibility with current ion-trap technology.

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Last Updated: May 26, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Area of Science:

  • Quantum simulation
  • Atomic physics
  • Condensed matter physics

Background:

  • Long-ranged magnetic frustration presents complex phase diagrams.
  • Numerical simulations struggle to fully characterize these intricate magnetic phases.

Purpose of the Study:

  • To propose a quantum simulation of a paradigmatic model of long-ranged magnetic frustration.
  • To clarify complex features within the model's rich phase diagram.
  • To assess the experimental feasibility of such a quantum simulation.

Main Methods:

  • Exploiting the geometry of a zigzag cold-ion crystal in a linear trap.
  • Detailed analysis of experimental feasibility.
  • Providing supporting numerical evidence with realistic ion-trap parameters.

Main Results:

  • The proposed method can simulate ferromagnetic, dimerized-antiferromagnetic, paramagnetic, and floating phases.
  • The simulation offers insights into previously unnoticed features of the phase diagram.
  • Experimental feasibility is supported by numerical evidence.

Conclusions:

  • Zigzag cold-ion crystals provide a viable platform for quantum simulation of magnetic frustration.
  • This approach enhances understanding of complex magnetic systems.
  • The study confirms the potential of current ion-trap technology for advanced quantum simulations.