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Related Concept Videos

¹H NMR: Interpreting Distorted and Overlapping Signals01:02

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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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NMR Spectrometers: Resolution and Error Correction01:14

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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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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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Chemical Shift: Internal References and Solvent Effects01:17

Chemical Shift: Internal References and Solvent Effects

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In an NMR sample, precise measurement of the absolute absorption frequencies of nuclei is difficult. A standard internal reference compound is added, and the frequency difference between the reference signal and sample signals is measured.
The internal reference compound generally used in NMR spectroscopy is tetramethylsilane (TMS). TMS is preferred because it is chemically inert, soluble in NMR solvents, and easily removable. Also, the highly shielded methyl protons in TMS yield an intense...
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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: Temporal Resolution00:52

¹H NMR of Conformationally Flexible Molecules: Temporal Resolution

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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...
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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Capturing local compositional fluctuations in NMR modelling of solid solutions.

Ricardo Grau-Crespo1,2, Said Hamad3, Salvador R G Balestra4

  • 1School of Engineering and Materials Science, Queen Mary University of London London E1 4NS UK r.grau-crespo@qmul.ac.uk.

Chemical Science
|September 24, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a computational method combining nuclear magnetic resonance (NMR) spectroscopy and density functional theory (DFT) to analyze solid solutions. The new approach accurately models local chemical environments, improving understanding of material properties.

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Area of Science:

  • Materials Science
  • Computational Chemistry
  • Solid-State Physics

Background:

  • Understanding atomic-scale properties of solid solutions is key to structure-property relationships.
  • Existing models fail to capture local compositional fluctuations affecting NMR spectra.

Purpose of the Study:

  • To develop a computational approach for investigating local chemical environments in solid solutions.
  • To address limitations of canonical ensemble models in capturing compositional fluctuations.

Main Methods:

  • Combined solid-state nuclear magnetic resonance (NMR) spectroscopy with density functional theory (DFT) calculations.
  • Employed a grand-canonical ensemble approach to represent diverse local chemical environments.
  • Utilized ensemble truncation and machine learning (ML) to reduce computational cost.

Main Results:

  • The grand-canonical ensemble approach provides a comprehensive NMR spectrum representation.
  • Ensemble truncation and ML significantly reduced computational cost while preserving predictive power.
  • Successfully modeled NMR spectra in a La₂(Zr₁₋ₓSnₓ)₂O₇ pyrochlore solid solution.

Conclusions:

  • The combined grand-canonical, ML, and truncation approach offers an efficient framework for modeling NMR spectra in disordered crystalline materials.
  • This method enhances the interpretation of NMR spectra by accounting for local chemical variations.