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Related Concept Videos

Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

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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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Nuclear Overhauser Enhancement (NOE)01:06

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Irradiation of a spin-active nucleus causes an increase or decrease in the signal intensity of neighboring nuclei that are not necessarily chemically bonded or involved in J-coupling. This phenomenon, called the nuclear Overhauser enhancement (NOE), results from through-space interactions between the nuclear spins. The NOE effect decreases with increasing internuclear distance and is generally not observed beyond 4 angstroms. In NOE, dipole-dipole interactions between neighboring spin-active...
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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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NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

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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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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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¹³C NMR: ¹H–¹³C Decoupling01:04

¹³C NMR: ¹H–¹³C Decoupling

2.0K
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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Updated: Mar 6, 2026

Study of Protein Dynamics via Neutron Spin Echo Spectroscopy
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Study of Protein Dynamics via Neutron Spin Echo Spectroscopy

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Intermediate scattering function for macromolecules in solutions probed by neutron spin echo.

Yun Liu1

  • 1Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA and Department of Chemical and Biomolecular Engineering, University of Delaware, Newark, Delaware 19716, USA.

Physical Review. E
|March 17, 2017
PubMed
Summary
This summary is machine-generated.

Neutron-spin-echo (NSE) studies macromolecule dynamics. A new theory accurately separates internal protein motions from other movements in concentrated solutions, crucial for understanding protein dynamics.

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Area of Science:

  • Biophysics
  • Materials Science
  • Physical Chemistry

Background:

  • Neutron-spin-echo (NSE) is vital for probing macromolecule dynamics in solution.
  • Understanding protein internal motions via NSE is a growing research area.
  • Separating internal protein dynamics from rotational and translational motions is challenging.

Purpose of the Study:

  • Develop a theoretical framework to quantitatively relate different motions within the intermediate scattering function (ISF).
  • Address limitations in current theories for calculating ISF in concentrated protein solutions with anisotropic shapes.
  • Provide a robust method for analyzing NSE data of macromolecules.

Main Methods:

  • Developed a theoretical framework based on the dynamic decoupling approximation.
  • Established quantitative relationships between internal, rotational, and translational motions in the ISF.
  • The theory is applicable across a range of protein concentrations.

Main Results:

  • The new theoretical framework accurately quantifies the contributions of different motions to the ISF.
  • Overcomes limitations of previous theories for concentrated and anisotropic systems.
  • Provides a reliable method for analyzing NSE data.

Conclusions:

  • The developed theory offers a significant advancement for interpreting NSE experiments on protein internal dynamics.
  • This framework is broadly applicable to various macromolecule systems studied by NSE.
  • Enables more accurate insights into the complex dynamics of macromolecules in solution.