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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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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...
1.2K
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.
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Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

1.0K
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
1.0K
Atomic Nuclei: Nuclear Spin01:08

Atomic Nuclei: Nuclear Spin

3.3K
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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Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

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Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
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Spin-Conservation Propensity Rule for Three-Body Recombination of Ultracold Rb Atoms.

Shinsuke Haze1, José P D'Incao1,2, Dominik Dorer1

  • 1Institut für Quantenmaterie and Center for Integrated Quantum Science and Technology IQST, Universität Ulm, D-89069 Ulm, Germany.

Physical Review Letters
|April 15, 2022
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Summary
This summary is machine-generated.

A spin conservation rule in three-body recombination holds true for Rubidium-85 atoms, extending previous findings for Rubidium-87. This discovery aids in understanding hyperfine spin state conservation in atomic collisions.

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Area of Science:

  • Atomic, Molecular, and Optical Physics
  • Quantum Mechanics
  • Chemical Physics

Background:

  • A propensity rule for hyperfine spin state conservation was recently observed in three-body recombination of Rubidium-87 atoms.
  • This rule's applicability to atoms with different scattering properties, such as Rubidium-85, remained unconfirmed.

Purpose of the Study:

  • To investigate the physical origin and general validity of the hyperfine spin state conservation propensity rule.
  • To test the rule's applicability to Rubidium-85, which has distinct scattering properties compared to Rubidium-87.

Main Methods:

  • State-to-state mapping of Rubidium-85 dimer (Rb2) molecular product distribution.
  • Utilizing resonance-enhanced multiphoton ionization detection schemes.
  • Experimental investigation across a range of binding energies (0 to ~13 GHz×h).

Main Results:

  • The spin-conservation propensity rule was observed to hold for Rubidium-85 under the experimental conditions.
  • Molecular product distribution was fully characterized across all possible molecular spin states.

Conclusions:

  • The hyperfine spin state conservation propensity rule is generally valid beyond the specific case of Rubidium-87.
  • An understanding of the physical origin of spin conservation in three-body recombination was derived.
  • Criteria were identified to predict the rule's applicability to other atomic elements and collision systems.