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Related Concept Videos

Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

1.4K
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...
1.4K
Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

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

1.4K
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...
1.4K
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

1.4K
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,...
1.4K
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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

1.5K
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...
1.5K
¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

2.5K
The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
2.5K
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

1.4K
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...
1.4K

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Probing basis set requirements for calculating hyperfine coupling constants.

Philip Jakobsen1, Frank Jensen1

  • 1Department of Chemistry, Aarhus University, DK-8000 Aarhus, Denmark.

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|November 10, 2019
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Summary
This summary is machine-generated.

New pcH-n basis sets offer exponential convergence for hyperfine coupling constant calculations. These optimized sets show significantly lower errors, improving accuracy across various computational chemistry methods.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry

Background:

  • Accurate calculation of hyperfine coupling constants (HFCs) is crucial in various chemical and physical studies.
  • Existing basis sets often exhibit slow convergence and significant errors, limiting computational accuracy.

Purpose of the Study:

  • To introduce a new series of basis sets, termed pcH-n, specifically optimized for HFC calculations.
  • To evaluate the performance of these basis sets in terms of convergence and accuracy compared to existing sets.

Main Methods:

  • Development of pcH-n basis sets from polarization consistent (pc) sets by adding specific tight functions.
  • Systematic testing of pcH-n basis sets for elements H to Ar across different cardinalities (double-ζ to pentuple-ζ).
  • Assessment of basis set convergence and errors using density functional theory (DFT) and potentially wave function-based methods.

Main Results:

  • The pcH-n basis sets demonstrate exponential convergence towards the complete basis set limit.
  • These sets exhibit substantially reduced basis set errors compared to commonly used basis sets for equivalent cardinalities.
  • The pcH-n basis sets show consistent convergence behavior across various DFT methods.

Conclusions:

  • The proposed pcH-n basis sets provide a significant improvement in accuracy and efficiency for HFC calculations.
  • These basis sets are recommended for computational chemistry studies requiring precise hyperfine coupling constant values.
  • The pcH-n sets offer a reliable choice for both DFT and wave function-based computational approaches.