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Related Concept Videos

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,...
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...
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
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.
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Related Experiment Video

Updated: Jun 27, 2026

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
06:34

In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging

Published on: September 2, 2016

Controlling spin contamination using constrained density functional theory.

J R Schmidt1, Neil Shenvi, John C Tully

  • 1Department of Chemistry, Yale University, New Haven, Connecticut 06520, USA.

The Journal of Chemical Physics
|December 3, 2008
PubMed
Summary
This summary is machine-generated.

This study introduces a constrained density functional theory (DFT) method to precisely control spin contamination. The approach improves accuracy in calculating properties of transition metal complexes and radicals by reducing spurious overpolarization.

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Last Updated: Jun 27, 2026

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Materials Science

Background:

  • Density functional theory (DFT) methods often suffer from spin contamination, leading to inaccurate results.
  • Existing restricted and restricted open-shell approaches lack the granularity to precisely manage spin contamination.
  • Spin overpolarization in DFT can significantly affect the description of electronic properties.

Purpose of the Study:

  • To extend the constrained density functional theory (DFT) approach for explicit control over spin contamination magnitude.
  • To enable the application of spin constraints to subsystems within larger molecular systems.
  • To improve the physical meaningfulness and accuracy of DFT calculations by reducing spurious overpolarization.

Main Methods:

  • Development of an extended constrained density functional theory (DFT) approach.
  • Implementation of a method to control the magnitude of spin contamination.
  • Application of the constraint to subsystems for localized spin polarization.
  • Utilizing the constrained DFT for calculating hyperfine couplings and diabatic dissociation curves.

Main Results:

  • Demonstrated finer granularity in controlling spin contamination compared to traditional methods.
  • Successfully applied the spin constraint to a transition metal complex ([Mn(CN)5NO]2-) for hyperfine coupling calculations.
  • Obtained qualitatively correct diabatic dissociation curves for the OF radical.
  • Showcased the essential role of the spin contamination constraint in achieving physically meaningful results.

Conclusions:

  • The extended constrained DFT approach offers precise control over spin contamination.
  • This method is crucial for obtaining accurate and physically meaningful results in challenging systems.
  • The technique effectively reduces spurious overpolarization, enhancing the reliability of DFT calculations.