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Related Concept Videos

Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

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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...
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Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

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

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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...
1.1K
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

978
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,...
978
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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

1.0K
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...
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Valence Bond Theory02:42

Valence Bond Theory

8.6K
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...
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Support reactions in three dimensions help maintain the stability and equilibrium of various structures and systems. These reactions prevent the system from translating and rotating, ensuring the design can withstand external forces and perform its intended function efficiently and safely. Some of the supports providing support reactions in three dimensions are discussed below:
Ball and Socket Joint is one of the supports allowing free rotation about any axis. This freedom of rotation is...
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Paramagnetic Relaxation Enhancement for Detecting and Characterizing Self-Associations of Intrinsically Disordered Proteins
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Spin-Adapted Externally Contracted Multireference Configuration Interaction Method Based on Selected Reference

Yinxuan Song1, Wei Huang1, Chungen Liu1

  • 1School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, People's Republic of China.

The Journal of Physical Chemistry. A
|January 25, 2024
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Summary
This summary is machine-generated.

Selected configuration interaction (sCI) methods are improved for large systems. New methods using configuration state functions and advanced algorithms enhance efficiency and accuracy for dynamic correlation in quantum chemistry calculations.

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry

Background:

  • Selected configuration interaction (sCI) is an approximation for full configuration interaction, valuable for large active spaces.
  • Dynamic correlation is crucial for quantitative results beyond large active spaces.
  • Externally contracted multireference configuration interaction (EC-MRCI) using sCI references is promising but has drawbacks.

Purpose of the Study:

  • To address spin contamination and low efficiency in previous sCI-EC-MRCI methods.
  • To develop a more efficient and accurate computational approach for large quantum systems.

Main Methods:

  • Utilized configuration state function (CSF) bases instead of Slater determinants.
  • Introduced a hybrid algorithm combining tree structures for configuration space management and the graphical unitary group approach (GUGA) for matrix element calculation.
  • Developed a spin-adapted version of the method.

Main Results:

  • The spin-adapted CSF-based method achieved a 6.0 speed-up compared to the Slater determinant version for naphthalene.
  • The improved sCI-EC-MRCI method provided quantitatively accurate results for dinuclear copper(II) compounds and Ln(III)/An(III) complexes.
  • Demonstrated the ability to include dynamic correlation beyond sCI for large active spaces and basis sets.

Conclusions:

  • The new CSF-based sCI-EC-MRCI method significantly improves efficiency and reduces spin contamination.
  • This approach enables accurate treatment of dynamic correlation in complex systems with large active spaces and basis sets.
  • The developed computational strategy is effective for challenging chemical systems in quantum chemistry.