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Related Concept Videos

Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

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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...
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Atomic Nuclei: Nuclear Spin01:08

Atomic Nuclei: Nuclear Spin

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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...
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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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Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

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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: 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
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

1.4K
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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Atomic-scale imaging of a 27-nuclear-spin cluster using a quantum sensor.

M H Abobeih1,2, J Randall1,2, C E Bradley1,2

  • 1QuTech, Delft University of Technology, Delft, The Netherlands.

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|December 20, 2019
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Researchers achieved atomic-scale magnetic imaging of complex spin clusters using a single quantum sensor. This breakthrough enables high-resolution structural analysis of individual molecules, advancing magnetic resonance imaging capabilities.

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Area of Science:

  • Quantum Sensing
  • Magnetic Resonance Imaging
  • Atomic Scale Imaging

Background:

  • Nuclear magnetic resonance (NMR) conventionally requires averaging over large ensembles.
  • Progress in single-spin quantum sensors offers potential for imaging individual molecules.
  • Imaging complex spin clusters with high precision remains a significant challenge.

Purpose of the Study:

  • To develop and demonstrate atomic-scale magnetic imaging of complex spin systems.
  • To achieve high spectral resolution and sub-ångström spatial reconstruction for molecular structures.
  • To enable magnetic imaging of individual molecules using quantum sensing.

Main Methods:

  • Utilized a single nitrogen vacancy (NV) center as a quantum sensor.
  • Employed a multidimensional spectroscopy method to isolate nuclear-nuclear spin interactions.
  • Applied methods for efficient spatial reconstruction with sub-ångström precision.

Main Results:

  • Successfully imaged a model system of 27 coupled 13C nuclear spins in diamond.
  • Achieved high spectral resolution (<80 millihertz) and accuracy (<2 millihertz) for spin interactions.
  • Demonstrated the extraction of 3D structure with sub-ångström resolution from spin interactions.

Conclusions:

  • The study demonstrates a key capability towards magnetic imaging of individual molecules.
  • High-resolution imaging of complex spin systems is achievable with quantum sensors.
  • This technique provides insights into the composition and connectivity of spin clusters.