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¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

2.4K
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...
2.4K
Aryldiazonium Salts to Azo Dyes: Diazo Coupling01:11

Aryldiazonium Salts to Azo Dyes: Diazo Coupling

3.2K
The reaction of weakly electrophilic aryldiazonium (also called arenediazonium) salts with highly activated aromatic compounds leads to the formation of products with an —N=N— link, called an azo linkage. This reaction, presented in Figure 1, is known as diazo coupling and occurs without the loss of the nitrogen atoms of the aryldiazonium salt. Highly activated aromatic compounds such as phenols or arylamines favor the diazo coupling reaction. The coupling generally occurs at the...
3.2K
¹H NMR: Complex Splitting01:13

¹H NMR: Complex Splitting

1.7K
A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...
1.7K
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

1.2K
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...
1.2K
Optimizing Chromatographic Separations01:15

Optimizing Chromatographic Separations

1.3K
Optimizing chromatographic separations is crucial for obtaining clean separations in a minimum amount of time. Optimization is required for several factors, including kinetic effects related to band broadening, plate height, capacity factor, and separation factor.
Band broadening refers to spreading solute bands as they travel through the column. This broadening can impact resolution. Plate height (H) represents the length required for one theoretical plate. A lower plate height corresponds to...
1.3K
Chemical Shift: Internal References and Solvent Effects01:17

Chemical Shift: Internal References and Solvent Effects

1.4K
In an NMR sample, precise measurement of the absolute absorption frequencies of nuclei is difficult. A standard internal reference compound is added, and the frequency difference between the reference signal and sample signals is measured.
The internal reference compound generally used in NMR spectroscopy is tetramethylsilane (TMS). TMS is preferred because it is chemically inert, soluble in NMR solvents, and easily removable. Also, the highly shielded methyl protons in TMS yield an intense...
1.4K

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Related Experiment Video

Updated: Apr 23, 2026

Line Shape Analysis of Dynamic NMR Spectra for Characterizing Coordination Sphere Rearrangements at a Chiral Rhenium Polyhydride Complex
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Line Shape Analysis of Dynamic NMR Spectra for Characterizing Coordination Sphere Rearrangements at a Chiral Rhenium Polyhydride Complex

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Kubo's Line Shape Function for a Linear-Quadratic Chromophore-Solvent Coupling.

Dmitry V Matyushov

    The Journal of Physical Chemistry. B
    |September 30, 2014
    PubMed
    Summary
    This summary is machine-generated.

    This study presents an exact solution for optical transition line shapes influenced by thermal bath interactions. The findings reveal how linear and quadratic modulations affect line shape, leading to non-Gaussian forms and Lorentzian splitting under fast modulation.

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    Area of Science:

    • Quantum optics
    • Condensed matter physics
    • Spectroscopy

    Background:

    • Optical transitions are fundamental in spectroscopy and quantum systems.
    • Understanding line shape functions is crucial for interpreting experimental data.
    • Thermal bath interactions dynamically modulate transition frequencies.

    Purpose of the Study:

    • To derive an exact, closed-form solution for the optical transition line shape function.
    • To analyze the impact of linear and quadratic frequency modulations.
    • To investigate the transition from Gaussian to non-Gaussian line shapes.

    Main Methods:

    • Analytical derivation of the line shape function.
    • Analysis of frequency dependence on Gaussian bath coordinates.
    • Examination of modulation parameters (linear and quadratic components).

    Main Results:

    • An exact solution for the line shape function is obtained.
    • Dynamical modulation is characterized by linear and quadratic frequency components.
    • Increased quadratic component leads to non-Gaussian line shapes.
    • Fast modulation results in line shape splitting into two Lorentzian components.

    Conclusions:

    • The study provides a precise model for optical transition line shapes under thermal modulation.
    • The findings highlight the significant role of quadratic frequency dependence in shaping spectral features.
    • The results offer insights into spectral analysis and the dynamics of quantum systems.