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

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

1.1K
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
¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

1.9K
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...
1.9K
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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

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

Spin–Spin Coupling: One-Bond Coupling

1.0K
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,...
1.0K
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

982
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...
982
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

1.5K
The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
1.5K

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Related Experiment Video

Updated: Aug 16, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

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Inspecting molecular aggregate quadratic vibronic coupling effects using squeezed coherent states.

Mantas Jakučionis1, Agnius Žukas1, Darius Abramavičius1

  • 1Institute of Chemical Physics, Vilnius University, Sauletekio Ave. 9-III, LT-10222, Vilnius, Lithuania. darius.abramavicius@ff.vu.lt.

Physical Chemistry Chemical Physics : PCCP
|December 23, 2022
PubMed
Summary

The squeezed Davydov D2 (sqD2) ansatz offers no significant improvement over the basic Davydov D2 approach for simulating molecular aggregate spectra. Accurate spectral modeling generally requires the more complex multiple Davydov D2 (mD2) ansatz.

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Area of Science:

  • Quantum mechanics
  • Theoretical chemistry
  • Spectroscopy

Background:

  • Excitation dynamics in molecular complexes are crucial for understanding energy transfer.
  • Accurate theoretical models are needed to simulate absorption and fluorescence spectra.
  • The time-dependent variational principle (TDVP) is a common method for these simulations.

Purpose of the Study:

  • To systematically compare the validity of the squeezed Davydov D2 (sqD2) ansatz against simpler and exact methods.
  • To characterize the performance of different quantum mechanical approaches in describing excitation dynamics.
  • To investigate the impact of vibrational modes and vibronic coupling on spectral simulations.

Main Methods:

  • Utilized the time-dependent variational principle (TDVP) with three ansätze: Davydov D2, squeezed D2 (sqD2), and multiple D2 (mD2).
  • Performed numerical simulations of absorption and fluorescence spectra for molecular aggregates.
  • Included intra- and intermolecular vibrational modes, and quadratic electronic-vibrational (vibronic) coupling.

Main Results:

  • The sqD2 ansatz only matched the exact mD2 spectra in a simplified model without quadratic vibronic coupling.
  • Accurate spectral modeling of dimers and larger aggregates generally requires the mD2 ansatz.
  • For J dimer aggregates coupled to phonon baths, all three ansätze yielded qualitatively similar spectra.
  • Quadratic vibronic coupling significantly impacts spectral lineshapes and introduces temperature-dependent shifts.

Conclusions:

  • The squeezed Davydov D2 (sqD2) ansatz does not offer substantial improvements over the basic Davydov D2 approach.
  • The numerically exact multiple Davydov D2 (mD2) ansatz is often necessary for accurate spectral simulations of molecular aggregates.
  • Understanding vibronic coupling is essential for interpreting spectral features and their temperature dependence.