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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...
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
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,...
Structures of Solids02:22

Structures of Solids

Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
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...
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...

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Related Experiment Video

Updated: May 19, 2026

Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope
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Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope

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Tilting structures in spinels.

V M Talanov1, V B Shirokov

  • 1South Russia State Technical University (Novocherkassk Polytechnic Institute), 346400, Novocherkassk, Russian Federation.

Acta Crystallographica. Section A, Foundations of Crystallography
|August 16, 2012
PubMed
Summary

Group-theory analysis reveals 28 tetrahedral and five octahedral rotation phases in spinel structures. Some phases involve pure rotation, while others include additional distortions, impacting structural symmetry.

Area of Science:

  • Solid-state chemistry
  • Crystallography
  • Materials science

Background:

  • Spinel structures are critical in various materials, exhibiting complex atomic arrangements.
  • Understanding distortions in polyhedral units (tetrahedra and octahedra) is key to predicting material properties.

Purpose of the Study:

  • To investigate potential distortions in spinel structures arising from tetrahedral and octahedral rotations.
  • To identify and classify distinct rotational phases and their associated structural characteristics.

Main Methods:

  • Employed a group-theoretical method to systematically analyze symmetry operations.
  • Examined the rotational degrees of freedom for tetrahedra and octahedra within the spinel framework.

Main Results:

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Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope
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  • Identified 28 possible rotation phases for tetrahedra and five for octahedra.
  • Demonstrated that while polyhedra remain equivalent, their orientations vary across phases.
  • Found one pure rotational phase for tetrahedra and three for octahedra, free from additional distortions.

Conclusions:

  • Group theory provides a robust framework for classifying spinel structural variations.
  • The existence of pure rotational phases offers insights into specific, less distorted spinel configurations.
  • Distinguishing between pure rotation and rotation with distortion is crucial for materials design.