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Related Concept Videos

Atomic Nuclei: Types of Nuclear Relaxation01:28

Atomic Nuclei: Types of Nuclear Relaxation

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Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers...
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Atomic Nuclei: Nuclear Relaxation Processes01:23

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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.
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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 Spin State Overview01:03

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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...
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Atomic Nuclei: Magnetic Resonance01:05

Atomic Nuclei: Magnetic Resonance

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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...
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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...
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Nuclear Spin Relaxation in Cold Atom-Molecule Collisions.

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Nuclear spin relaxation in cold 13CO molecules colliding with helium atoms is extremely slow for ground rotational states. Faster relaxation occurs in excited states, with rates depending on magnetic fields and angular momenta.

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Area of Science:

  • Quantum dynamics
  • Cold collisions
  • Molecular physics

Background:

  • Understanding nuclear spin relaxation is crucial for controlling molecular quantum states.
  • Cold collisions offer a unique regime to study fundamental quantum interactions.

Purpose of the Study:

  • To develop a rigorous theoretical method for nuclear spin relaxation in cold molecule-atom collisions.
  • To investigate the spin dynamics of 13CO molecules in a cold 4He buffer gas.

Main Methods:

  • Coupled-channel methodology accounting for molecular rotation, nuclear spin, and magnetic fields.
  • Application to 13CO + 4He system.

Main Results:

  • Extremely slow nuclear spin relaxation observed for ground rotational states (N=0) of 13CO.
  • Faster relaxation rates for rotationally excited states (N=1) due to spin-rotation coupling.
  • Magnetic field dependence observed and explained by first Born approximation.

Conclusions:

  • Nuclear spin relaxation in cold 13CO is highly dependent on rotational state and temperature.
  • Long relaxation times for N=0 states require sufficiently low temperatures.
  • The developed methodology provides insights into quantum spin dynamics in cold molecular systems.