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¹H NMR Signal Integration: Overview00:58

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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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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
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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.
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The probability of having two carbon-13 atoms next to each other is negligible because of the low natural abundance of carbon-13. Consequently, peak splitting due to carbon-carbon spin-spin coupling is not observed in spectra. However, protons up to three sigma bonds away split the carbon signal according to the n+1 rule, resulting in complicated spectra.
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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...
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In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the...
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Pure Shift Nuclear Magnetic Resonance: a New Tool for Plant Metabolomics
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Pure Gaussian Apodisation Reduces Integral Crosstalk Sensitivity in Quantitative NMR.

A Flook1, C S Raman2, G C Lloyd-Jones1

  • 1School of Chemistry, University of Edinburgh, Edinburgh, UK.

Magnetic Resonance in Chemistry : MRC
|May 4, 2026
PubMed
Summary
This summary is machine-generated.

Exponential apodisation in NMR can distort peak areas, necessitating larger integration regions. Pure Gaussian apodisation offers a robust alternative, improving measurement accuracy and reducing peak overlap in complex spectra.

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Area of Science:

  • Nuclear Magnetic Resonance (NMR) Spectroscopy
  • Quantitative Analysis
  • Signal Processing

Background:

  • Exponential apodisation is standard in quantitative NMR for signal-to-noise ratio (SNR) and integral precision.
  • Current evaluations focus on SNR and peak broadening, neglecting apodisation's impact on peak area distribution.

Purpose of the Study:

  • To investigate how exponential apodisation affects peak area distribution and integral accuracy.
  • To explore pure Gaussian apodisation as a robust alternative for quantitative NMR.

Main Methods:

  • Assessment of exponential apodisation's effect on peak wing extension and area relocation.
  • Comparison of pure Gaussian apodisation with exponential apodisation using matched broadening criteria.
  • Evaluation of integral region robustness and peak overlap reduction.

Main Results:

  • Exponential apodisation shifts peak area outwards, requiring larger integral regions and increasing overlap potential.
  • Pure Gaussian apodisation provides comparable SNR improvements to exponential apodisation.
  • Gaussian apodisation reduces peak wing overlap and enhances the robustness of finite-window integration.

Conclusions:

  • Pure Gaussian apodisation is a more robust alternative to exponential apodisation for quantitative NMR.
  • Gaussian apodisation improves measurement trueness by minimizing area relocation and peak overlap.
  • This method is particularly beneficial for complex 1D NMR spectra analysis.