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Related Concept Videos

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.
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...
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...
NMR Spectroscopy: Chemical Shift Overview01:15

NMR Spectroscopy: Chemical Shift Overview

The position of the absorption signal of a sample is reported relative to the position of the signal of tetramethylsilane (TMS), which is added as an internal reference while recording spectra. The difference between the absorption frequencies of the sample and TMS (in Hz) is divided by the spectrometer operating frequency (in MHz) to obtain a dimensionless quantity called the chemical shift. It is reported on the δ (delta) scale and expressed in parts per million.
For instance, the proton...
Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this particular...
¹H NMR Signal Integration: Overview00:58

¹H NMR Signal Integration: Overview

The intensity of a signal, which can be represented by the area under the peak, depends on the number of protons contributing to that signal. The area under each peak is shown as a vertical line called an integral, with the integral value listed under it, as seen in the proton NMR spectrum of benzyl acetate. Each integral value is divided by the smallest integral value to obtain the ratio of the number of protons producing each signal. The ratio reveals the relative number of protons and not...

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Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements
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Understanding NMR T(2) spectral uncertainty.

Michael Prange1, Yi-Qiao Song

  • 1Schlumberger-Doll Research, One Hampshire Street, Cambridge, MA 02139, USA. prange@slb.com

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|March 13, 2010
PubMed
Summary

Analyzing NMR relaxation and diffusion data involves various methods, often debated. This study demonstrates that sparse spectral representation can enhance the statistical accuracy of multiple-exponential inversion schemes, addressing inherent uncertainties in data analysis.

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Area of Science:

  • Analytical Chemistry
  • Physical Chemistry
  • Biophysical Chemistry

Background:

  • Nuclear Magnetic Resonance (NMR) spectroscopy is crucial for analyzing molecular dynamics.
  • Common methods for NMR relaxation and diffusion data analysis include exponential fitting and Laplace inversion.
  • These methods face challenges due to the ill-conditioned nature of the analysis, leading to solution uncertainties.

Purpose of the Study:

  • To investigate the inherent uncertainties in NMR relaxation and diffusion data analysis methods.
  • To propose and evaluate a novel approach for improving the statistical reliability of spectral solutions.
  • To address the limitations of traditional multi-exponential fitting and inversion techniques.

Main Methods:

  • Analysis of the ill-conditioned nature of NMR data inversion.
  • Implementation of a sparse spectral representation method.
  • Comparison of the proposed method with conventional exponential fitting and Laplace inversion schemes.
  • Statistical evaluation of the improved accuracy in spectral solutions.

Main Results:

  • NMR data analysis inherently yields a range of possible solutions due to ill-conditioning.
  • The uncertainty in spectral solutions is a characteristic limitation of inversion methods.
  • Sparse spectral representation significantly improves the statistical performance of multiple-exponential-based inversion schemes.
  • Enhanced precision in determining relaxation and diffusion parameters was observed.

Conclusions:

  • The ill-posed nature of NMR data analysis necessitates robust methods for reliable interpretation.
  • Sparse spectral representation offers a statistically superior alternative for analyzing multi-exponential decay processes in NMR.
  • This approach mitigates uncertainties and enhances the accuracy of spectral solutions in NMR relaxation and diffusion studies.