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Atomic Nuclei: Nuclear Spin01:08

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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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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...
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Protons and neutrons, collectively called nucleons, are packed together tightly in a nucleus. With a radius of about 10−15 meters, a nucleus is quite small compared to the radius of the entire atom, which is about 10−10 meters. Nuclei are extremely dense compared to bulk matter, averaging 1.8 × 1014 grams per cubic centimeter. If the earth’s density were equal to the average nuclear density, the earth’s radius would be only about 200 meters.
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An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
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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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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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Pear-shaped atomic nuclei.

P A Butler1

  • 1Oliver Lodge Laboratory, University of Liverpool, Liverpool L69 7ZE, UK.

Proceedings. Mathematical, Physical, and Engineering Sciences
|August 22, 2020
PubMed
Summary
This summary is machine-generated.

This review explores experimental evidence for atomic nuclei with reflection-asymmetric, or

Keywords:
Coulomb excitationelectric-dipole momentsoctupole collectivitypear shapes of atomic nucleiradioactive beams

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Area of Science:

  • Nuclear Physics
  • Atomic Physics

Background:

  • Atomic nuclei can exhibit non-spherical shapes.
  • Octupole correlations in nucleon-nucleon interactions can lead to reflection-asymmetric (pear) shapes.
  • These shapes have implications for fundamental physics measurements.

Purpose of the Study:

  • To review the experimental evidence for nuclear pear shapes.
  • To highlight recent experimental measurements.
  • To discuss the relevance of pear shapes to fundamental interactions.

Main Methods:

  • Review of existing experimental data.
  • Analysis of energy level behavior.
  • Examination of electric octupole transition moments.

Main Results:

  • Experimental evidence supports the existence of reflection-asymmetric nuclear shapes.
  • Recent measurements provide detailed insights into these phenomena.
  • The study reviews the behavior of energy levels and electric octupole transitions.

Conclusions:

  • The existence of nuclear pear shapes is supported by experimental evidence.
  • Further research on these shapes is crucial for understanding fundamental interactions.
  • Octupole correlations play a significant role in nuclear structure.