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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

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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...
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2D NMR: Overview of Homonuclear Correlation Techniques01:16

2D NMR: Overview of Homonuclear Correlation Techniques

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Homonuclear correlation spectroscopy (COSY) is a powerful technique used in Nuclear Magnetic Resonance (NMR) spectroscopy to study the correlations between nuclei of the same type within a molecule. It provides information about scalar couplings between adjacent nuclei, which helps determine connectivity and structural information. There are several COSY variants, each with its unique strengths and experimental parameters.
COSY90 is the standard two-dimensional (2D) COSY experiment that...
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¹H NMR of Conformationally Flexible Molecules: Variable-Temperature NMR01:15

¹H NMR of Conformationally Flexible Molecules: Variable-Temperature NMR

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The axial and equatorial protons in cyclohexane can be distinguished by performing a variable-temperature NMR experiment. In this process, except for one proton, the remaining eleven protons are replaced by deuterium. The deuterium substitution avoids the possible peak splitting caused by the spin-spin coupling between the adjacent protons. The remaining proton flips between the axial and equatorial positions.
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Atomic Nuclei: Types of Nuclear Relaxation01:28

Atomic Nuclei: Types of Nuclear Relaxation

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Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers...
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2D NMR: Overview of Heteronuclear Correlation Techniques01:18

2D NMR: Overview of Heteronuclear Correlation Techniques

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Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other...
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NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

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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...
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Related Experiment Video

Updated: May 5, 2026

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale
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15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale

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Trust-region algorithm for the inversion of molecular diffusion NMR data.

Kaipin Xu1, Shanmin Zhang

  • 1Physics Department and Shanghai Key Laboratory of Magnetic Resonance, East China Normal University , Shanghai 200062, China.

Analytical Chemistry
|December 10, 2013
PubMed
Summary
This summary is machine-generated.

This study introduces a new iterative regularization method, TRAIn, for analyzing diffusion NMR data. TRAIn overcomes numerical challenges in existing methods, providing more reliable diffusion coefficient distributions for complex molecular samples.

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Area of Science:

  • Analytical Chemistry
  • Physical Chemistry
  • Biophysics

Background:

  • Diffusion Nuclear Magnetic Resonance (NMR) spectroscopy is crucial for characterizing molecular structure, dynamics, and mixtures.
  • Existing numerical methods for processing diffusion NMR data, like CONTIN and MaxEnt, face numerical challenges.
  • These challenges limit the accurate determination of diffusion coefficient distributions.

Purpose of the Study:

  • To address the numerical limitations of direct regularization methods in diffusion NMR data analysis.
  • To develop a novel iterative regularization method for calculating diffusion coefficient distributions.
  • To improve the reliability of diffusion coefficient distribution reconstruction, particularly for complex samples.

Main Methods:

  • Analysis of simulated and experimental diffusion NMR data.
  • Illustration of numerical problems associated with direct regularization techniques (CONTIN, MaxEnt, ITAMeD).
  • Development and application of an iterative regularization method based on the Trust-Region Algorithm for the Inversion (TRAIn).

Main Results:

  • Demonstrated that the TRAIn method overcomes major numerical difficulties encountered by direct regularization approaches.
  • TRAIn successfully reconstructs more reliable diffusion coefficient distributions compared to existing methods.
  • The method shows particular efficacy for real-world samples with nonsymmetrically distributed diffusion coefficients.

Conclusions:

  • The TRAIn method offers a robust solution for processing diffusion NMR data.
  • This iterative approach enhances the accuracy and reliability of diffusion coefficient distribution analysis.
  • TRAIn is a valuable tool for studying molecular properties and complex mixtures using diffusion NMR.