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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
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 Magnetic Moment00:59

Atomic Nuclei: Nuclear Magnetic Moment

3.0K
All atomic nuclei are positively charged. When they have a nonzero spin, they behave like rotating charges. As a consequence of their charge and spin, these nuclei generate a magnetic field (B). This, in turn, gives rise to a magnetic moment (μ), which is randomly oriented in the absence of an external magnetic field. When an external magnetic field (B0) is applied, the magnetic moment vectors can align with the field or against it in 2 + 1 orientations. A hydrogen nucleus, which is just a...
3.0K
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.
2.3K
Atomic Nuclei: Magnetic Resonance01:05

Atomic Nuclei: Magnetic Resonance

1.1K
The number of nuclear spins aligned in the lower energy state is slightly greater than those in the higher energy state. In the presence of an external magnetic field, as the spins precess at the Larmor frequency, the excess population results in a net magnetization oriented along the z axis. When a pulse or a short burst of radio waves at the Larmor frequency is applied along the x axis, the coupling of frequencies causes resonance and flips the nuclear spins of the excess population from the...
1.1K
Atomic Nuclei: Nuclear Spin01:08

Atomic Nuclei: Nuclear Spin

4.8K
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...
4.8K

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Related Experiment Video

Updated: Jan 2, 2026

High-Temperature and High-Pressure In situ Magic Angle Spinning Nuclear Magnetic Resonance Spectroscopy
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High-Temperature and High-Pressure In situ Magic Angle Spinning Nuclear Magnetic Resonance Spectroscopy

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Pulse-Shaped Dynamic Nuclear Polarization under Magic-Angle Spinning.

Asif Equbal1, Kan Tagami1, Songi Han1,2

  • 1Department of Chemistry and Biochemistry , University of California , Santa Barbara , California 93106 , United States.

The Journal of Physical Chemistry Letters
|December 3, 2019
PubMed
Summary
This summary is machine-generated.

Pulse-shaped microwave irradiation enhances dynamic nuclear polarization (DNP) under magic-angle spinning (MAS) NMR. This novel approach improves efficiency, especially in challenging conditions, advancing solid-state NMR applications.

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Area of Science:

  • Solid-state Nuclear Magnetic Resonance (NMR)
  • Electron Paramagnetic Resonance (EPR) Spectroscopy
  • Quantum Control

Background:

  • Dynamic nuclear polarization (DNP) significantly amplifies signals in solid-state NMR by transferring polarization from electron to nuclear spins.
  • Current MAS-DNP methods use continuous-wave (CW) microwave irradiation, limiting control over electron spin dynamics and efficiency at higher fields and temperatures.
  • Inefficiency in CW-DNP arises from limited control over electron spin dynamics, particularly under fast magic-angle spinning (MAS) or with rapidly relaxing electron spins.

Purpose of the Study:

  • To introduce and validate pulse-shaped microwave irradiation for magic-angle spinning dynamic nuclear polarization (MAS-DNP).
  • To demonstrate the advantages of controlled electron spin dynamics via arbitrary waveform generation (AWG) in MAS-DNP.
  • To explore the potential of pulse-shaped DNP for overcoming limitations of CW-DNP in complex spin systems.

Main Methods:

  • Implementation of pulse-shaped microwave irradiation using arbitrary waveform generation (AWG) for electron spin resonance.
  • Integration of pulse-shaping techniques with magic-angle spinning (MAS) conditions.
  • Quantum mechanical simulations and experimental validation using mixed radical systems.

Main Results:

  • Pulse-shaped microwave irradiation allows for controlled recruitment of a greater number of electron spins per unit time.
  • Experiments and simulations confirm pulse-shaped DNP outperforms CW-DNP for mixed radical systems.
  • Superior performance of pulse-shaped DNP is observed with heterogeneously broadened electron spin resonance and fast electron spin-lattice relaxation.

Conclusions:

  • Pulse-shaped microwave irradiation represents a significant advancement for MAS-DNP, offering enhanced control and efficiency.
  • This technique overcomes key limitations of conventional CW-DNP, particularly in demanding experimental settings.
  • The developed method opens new avenues for sensitive solid-state NMR investigations using MAS-DNP.