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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: Nuclear Magnetic Moment00:59

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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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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 Spin State Population Distribution01:14

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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

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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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Angle-resolved Photoemission Spectroscopy At Ultra-low Temperatures
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Nonmagnetic Ground State in RuO_{2} Revealed by Muon Spin Rotation.

M Hiraishi1,2, H Okabe2,3, A Koda2,4

  • 1Graduate School of Science and Engineering, Ibaraki University, Mito, Ibaraki 310-8512, Japan.

Physical Review Letters
|May 3, 2024
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Summary
This summary is machine-generated.

Muon spin rotation experiments found no evidence of magnetic order in ruthenium dioxide (RuO2) crystals. This suggests previously reported antiferromagnetic ordering is unlikely in the bulk material.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Magnetism

Background:

  • Single crystalline RuO2 has been proposed to exhibit antiferromagnetic ordering.
  • Understanding the magnetic ground state of transition metal oxides is crucial for their technological applications.

Purpose of the Study:

  • To investigate the magnetic ground state of single crystalline RuO2.
  • To verify the existence of proposed antiferromagnetic order using experimental techniques.

Main Methods:

  • Muon spin rotation and relaxation (μSR) experiments were conducted.
  • First-principles calculations were used to determine potential muon sites.
  • Simulations of local magnetic fields (B_loc) were performed for proposed antiferromagnetic structures.

Main Results:

  • No spin precession signal indicative of spontaneous internal magnetic field (B_loc) was observed between 5-400 K.
  • Calculations ruled out muon localization at sites with accidental B_loc cancellation.
  • An upper limit for the Ru magnetic moment (|m_Ru|) was estimated at 4.8(2)×10^-4 μB, significantly lower than previously suggested values.

Conclusions:

  • The experimental results strongly suggest that the proposed antiferromagnetic order does not exist in bulk RuO2.
  • The findings challenge previous interpretations of diffraction data regarding RuO2 magnetism.