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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,...
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...
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: Three-Bond Coupling (Vicinal Coupling)01:22

Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)

Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
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.

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Related Experiment Video

Updated: May 30, 2026

Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope
09:06

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

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Spin gap in the zigzag spin-1/2 chain cuprate Sr(0.9)Ca(0.1)CuO(2).

F Hammerath1, S Nishimoto, H-J Grafe

  • 1Leibniz Institute for Solid State and Materials Research IFW Dresden, Germany.

Physical Review Letters
|July 30, 2011
PubMed
Summary

We studied copper-63 nuclear magnetic resonance spin lattice relaxation rates in strontium cuprate compounds. Calcium doping surprisingly opened a spin gap in the spin chains, suggesting impurity effects on magnetic exchange coupling.

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Last Updated: May 30, 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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Radio Frequency Magnetron Sputtering of GdBa2Cu3O7&#8722;&#948;/ La0.67Sr0.33MnO3 Quasi-bilayer Films on SrTiO3 (STO) Single-crystal Substrates
06:49

Radio Frequency Magnetron Sputtering of GdBa2Cu3O7−δ/ La0.67Sr0.33MnO3 Quasi-bilayer Films on SrTiO3 (STO) Single-crystal Substrates

Published on: April 12, 2019

Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Magnetism

Background:

  • Strontium cuprate (SrCuO2) is a model system for studying spin chains.
  • Understanding magnetic interactions in these materials is crucial for developing novel electronic devices.

Purpose of the Study:

  • To investigate the effect of calcium doping on the magnetic properties of SrCuO2.
  • To elucidate the mechanism behind the observed spin gap in Ca-doped SrCuO2.

Main Methods:

  • Comparative study of (63)Cu nuclear magnetic resonance spin lattice relaxation rates (T(1)(-1)).
  • Analysis of undoped SrCuO2 and Ca-doped Sr(0.9)Ca(0.1)CuO2.
  • Theoretical modeling using the J(1)-J(2) Heisenberg model and density-matrix renormalization group (DMRG) calculations.

Main Results:

  • Undoped SrCuO2 exhibited temperature-independent T(1)(-1), consistent with an S=1/2 Heisenberg chain.
  • Ca-doped SrCuO2 showed an exponential decrease in T(1)(-1) below 90 K, indicating the opening of a spin gap.
  • DMRG calculations suggest an impurity-driven alternation of the J(2)-exchange coupling as the cause of the spin gap.

Conclusions:

  • Calcium doping induces a significant change in the magnetic behavior of SrCuO2.
  • The observed spin gap is likely attributed to local modifications of magnetic exchange interactions caused by doping-induced impurities.
  • This study provides insights into controlling magnetic properties in low-dimensional quantum materials.