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Related Concept Videos

Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

2.3K
Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
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Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

1.2K
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
1.2K
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

2.9K
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...
2.9K
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

1.9K
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
1.9K
Atomic Nuclei: Nuclear Spin01:08

Atomic Nuclei: Nuclear Spin

4.9K
All atomic particles possess an intrinsic angular momentum, or 'spin'. Electrons, protons, and neutrons each have a spin value of ½, although protons and neutrons in nuclei may have higher half-integer spins owing to energetic factors.
Atomic nuclei have a net nuclear spin, , which can have an integer or half-integer value. In atomic nuclei, the spins of protons are paired against each other but not with neutrons, and vice versa. Consequently, an even number of protons does not contribute to...
4.9K
NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

1.0K
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...
1.0K

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Neutron Spin Echo Spectroscopy as a Unique Probe for Lipid Membrane Dynamics and Membrane-Protein Interactions
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Bayesian Gaussian process inference for neutron spin echo measurement.

Chi-Huan Tung1, Guan-Rong Huang2,3, Ingo Hoffmann4

  • 1Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA.

The Journal of Chemical Physics
|December 15, 2025
PubMed
Summary
This summary is machine-generated.

We developed a Bayesian inference method using Gaussian process regression (GPR) to reconstruct high-quality neutron spin echo (NSE) spectroscopy signals from noisy, sparse data. This approach significantly enhances data quality and reduces acquisition times for neutron scattering techniques.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Spectroscopy

Background:

  • Neutron spin echo (NSE) spectroscopy is crucial for studying microscopic dynamics.
  • Current limitations include low neutron flux, long acquisition times, and high noise levels.
  • These constraints hinder the application and efficiency of NSE.

Purpose of the Study:

  • To introduce a novel Bayesian inference approach using Gaussian process regression (GPR).
  • To reconstruct high-quality spin echo signals from sparse and noisy data.
  • To overcome the limitations of traditional NSE spectroscopy.

Main Methods:

  • Bayesian inference framework utilizing Gaussian process regression (GPR).
  • Exploitation of correlations in reciprocal space for signal reconstruction.
  • Validation using synthetic datasets and experimental NSE measurements of dendrimers.

Main Results:

  • GPR effectively suppresses noise in spin echo signals.
  • The method successfully interpolates missing intensity values and accommodates irregular data.
  • Demonstrated improvement in accuracy and reduction in acquisition times.
  • Enabled high-throughput and real-time neutron spectroscopy studies.

Conclusions:

  • The GPR-based Bayesian inference approach significantly enhances NSE data quality.
  • This method overcomes key limitations of traditional neutron spin echo spectroscopy.
  • The framework is adaptable to other low signal-to-noise ratio scattering techniques, broadening neutron spectroscopy applications.