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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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¹H NMR of Labile Protons: Temporal Resolution01:10

¹H NMR of Labile Protons: Temporal Resolution

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Protons bonded to heteroatoms such as nitrogen and oxygen exhibit a range of chemical shift values. This is due to the varying degree of hydrogen bonding between the proton and the heteroatom in other molecules. The extent of hydrogen bonding affects the electron density around the proton, thereby giving different chemical shift values for the protons in the proton NMR spectrum.
The –OH proton in alcohols typically appears in the range of δ 2 to 5 ppm but can vary depending on the specific...
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NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

1.1K
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...
1.1K
¹H NMR of Conformationally Flexible Molecules: Temporal Resolution00:52

¹H NMR of Conformationally Flexible Molecules: Temporal Resolution

1.4K
At room temperature, the chair conformer of cyclohexane undergoes rapid ring flipping between two equivalent chair conformers at a rate of approximately 105 times per second. These two chair conformers are in equilibrium. The rapid ring flipping results in the interconversion of the axial proton to an equatorial proton and an equatorial to the axial proton. Such interconversions are too rapid and cannot be detected on the NMR timescale. Hence, the NMR spectrometer cannot distinguish between the...
1.4K
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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Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule01:10

Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

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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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Related Experiment Video

Updated: Mar 6, 2026

Metabolomic Analysis of Rat Brain by High Resolution Nuclear Magnetic Resonance Spectroscopy of Tissue Extracts
09:01

Metabolomic Analysis of Rat Brain by High Resolution Nuclear Magnetic Resonance Spectroscopy of Tissue Extracts

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Hierarchical maximum likelihood estimation for time-resolved NMR data.

Lennart H Bosch1, Pernille R Jensen2, Nico Striegler3

  • 1Institute of Theoretical Physics, Ulm University, 89081 Ulm, Germany.

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|March 4, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a novel Bayesian hierarchical model for metabolic monitoring and reaction rate estimation using hyperpolarized NMR technology. The new method enhances precision and minimizes uncertainty in quantitative analysis, outperforming existing techniques.

Keywords:
Hierarchical modelHyperpolarizationNitrogen-VacancyTime resolutionTime-domain analysis

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Area of Science:

  • Nuclear Magnetic Resonance (NMR) Spectroscopy
  • Metabolic Pathway Analysis
  • Quantitative Chemical Analysis

Background:

  • Accurate metabolic monitoring and reaction rate estimation are crucial for hyperpolarized NMR technology.
  • Current two-stage analysis methods suffer from uncertainty propagation errors.

Purpose of the Study:

  • To develop a novel Bayesian hierarchical model for enhanced quantitative analysis in hyperpolarized NMR.
  • To improve precision and minimize uncertainty in metabolic monitoring and reaction rate estimation.

Main Methods:

  • A Bayesian hierarchical model was developed, intrinsically propagating uncertainties.
  • The method was analytically reduced to a least-squares optimization problem, extending Variable Projection (VarPro).
  • The approach was validated using two experimental setups: conventional high-field NMR and a microscale NMR with Nitrogen-Vacancy centers.

Main Results:

  • The proposed Bayesian approach demonstrated improved estimation accuracy compared to traditional Fourier methods.
  • The method showed operational advantages over two-stage VarPro procedures.
  • Enhanced precision and minimal uncertainty were achieved by operating on the full dataset.

Conclusions:

  • The novel Bayesian hierarchical model offers a superior approach for quantitative analysis in hyperpolarized NMR.
  • This method effectively addresses limitations of current two-stage procedures, improving accuracy and uncertainty management.
  • The approach is broadly applicable to other estimation scenarios with similar data structures, such as time-resolved photospectroscopy.