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Related Concept Videos

NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
2D NMR: Overview of Homonuclear Correlation Techniques01:16

2D NMR: Overview of Homonuclear Correlation Techniques

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...
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

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 slanted or...
2D NMR: Overview of Heteronuclear Correlation Techniques01:18

2D NMR: Overview of Heteronuclear Correlation Techniques

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 axis.
Two-Dimensional (2D) NMR: Overview01:12

Two-Dimensional (2D) NMR: Overview

The 1D NMR spectrum of large and complex molecules like natural products has complicated splitting patterns and overlapping signals, which can be easily interpreted using 2-dimensional (2D) NMR. Unlike 1D NMR, 2D NMR has two frequency axes that provide the coupling information between the nucleus A and nucleus B in a molecule. The process from which 2D spectra are obtained has four steps.
The first step is the preparation period, during which nucleus A is excited with a radiofrequency pulse.
Atomic Nuclei: Types of Nuclear Relaxation01:28

Atomic Nuclei: Types of Nuclear Relaxation

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 energy to a nearby...

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Practical Aspects of Sample Preparation and Setup of 1H R1ρ Relaxation Dispersion Experiments of RNA
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Laplace Inversion of Low-Resolution NMR Relaxometry Data Using Sparse Representation Methods.

Paula Berman1, Ofer Levi, Yisrael Parmet

  • 1The Phyto-Lipid Biotechnology Laboratory, Departments of Biotechnology and Environmental Engineering, The Institutes for Applied Research, Ben-Gurion University of the Negev Beer-Sheva, Israel.

Concepts in Magnetic Resonance. Part A, Bridging Education and Research
|July 13, 2013
PubMed
Summary
This summary is machine-generated.

This study introduces a new L1 regularization method for analyzing low-resolution nuclear magnetic resonance (LR-NMR) data. The approach offers improved resolution and accuracy in characterizing complex materials compared to existing techniques.

Keywords:
L1 regularizationconvex optimizationlow-resolution NMRsparse reconstruction

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15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale
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Last Updated: May 9, 2026

Practical Aspects of Sample Preparation and Setup of 1H R1ρ Relaxation Dispersion Experiments of RNA
08:17

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Published on: July 9, 2021

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale
08:09

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

Published on: April 19, 2021

Area of Science:

  • Magnetic Resonance Imaging
  • Spectroscopy
  • Materials Science

Background:

  • Low-resolution nuclear magnetic resonance (LR-NMR) relaxometry is crucial for material characterization.
  • Analyzing LR-NMR data involves solving an ill-posed inverse Laplace transform problem.
  • Current methods often rely on L2-norm regularization, which can be suboptimal.

Purpose of the Study:

  • To present a novel numerical optimization method for LR-NMR data analysis.
  • To enhance the accuracy and resolution of relaxation component distributions.
  • To introduce a method leveraging L1 regularization and convex optimization.

Main Methods:

  • Implementation of L1 regularization with non-negativity constraints.
  • Application of the PDCO convex optimization solver.
  • Validation through simulations, experimental repeatability, and statistical assumption checks.

Main Results:

  • The proposed L1 regularization method yields superior resolution and accuracy.
  • Demonstrated effectiveness in analyzing complex material constituents.
  • The PDCO solver efficiently handles linear constraints in the optimization.

Conclusions:

  • The L1 regularization approach offers a significant advancement for LR-NMR data analysis.
  • This method provides more precise characterization of complex materials.
  • The integrated validation strategy ensures the robustness and reliability of the results.