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Paramagnetism

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Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly oriented, and thus the net moment is zero. Under an external field, a torque acting on the moments tends to align them along the field's direction. However, the random thermal motion of electrons produces a torque opposite to the external field and tries to disorient the moments. These two competing effects align only a few moments along the...
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Electrons revolving around a nucleus are analogous to a circular current carrying loop. This current produces a magnetic dipole moment proportional to the electron's orbital angular momentum. Since the orbital angular momentum is quantized in terms of the reduced Planck's constant, the dipole moment is quantized in the Bohr Magneton. The value of the Bohr magneton is 9.27 x 10-24 Am2. Electrons also have an intrinsic spin angular momentum, and the associated spin magnetic moment is...
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Diamagnetism01:26

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Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field, the moments opposite to the field are induced. Such materials are called diamagnets. Diamagnetism is the response of the diamagnets when placed in an external magnetic field.
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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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Magnetic declination is the angle between true north, which aligns with the Earth's rotational axis, and magnetic north, which follows the direction of the Earth's magnetic field. This discrepancy exists because the magnetic poles do not coincide with the geographic poles. The value of magnetic declination depends on the observer's location on Earth and is subject to changes over time due to the dynamic nature of the Earth's magnetic field.The declination is called eastern when magnetic north...
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Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

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Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
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Absolute Magnetometry with ^{3}He.

Midhat Farooq1, Timothy Chupp1, Joe Grange1,2

  • 1Physics Department, University of Michigan, Ann Arbor, Michigan 48109, USA.

Physical Review Letters
|June 23, 2020
PubMed
Summary
This summary is machine-generated.

We developed a highly accurate absolute magnetometer using Helium-3 Nuclear Magnetic Resonance (NMR). This precision instrument confirmed magnetic field sensor calibration for the muon magnetic moment anomaly (g-2) experiment.

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Area of Science:

  • Atomic, Molecular, and Optical Physics
  • Metrology and Measurement Science
  • Particle Physics

Background:

  • Accurate magnetic field measurements are crucial for fundamental physics experiments.
  • Existing magnetometers have limitations in precision and accuracy.
  • The muon magnetic moment anomaly (g-2) requires highly precise magnetic field calibration.

Purpose of the Study:

  • To develop a novel, highly accurate absolute magnetometer.
  • To utilize Helium-3 Nuclear Magnetic Resonance (NMR) for enhanced precision.
  • To validate magnetic field sensors used in the muon g-2 experiment.

Main Methods:

  • Utilized optical pumping to polarize Helium-3 nuclear spins.
  • Leveraged long coherence times for high measurement sensitivity.
  • Employed the Helium-3 electron shell to isolate nuclear spin for accuracy.

Main Results:

  • Achieved a highly accurate absolute magnetometer with parts-per-billion precision.
  • Confirmed calibration of magnetic-field sensors to 32 ppb.
  • The magnetometer's accuracy is limited by material, sample shape, and magnetization corrections.

Conclusions:

  • The developed ^{3}He NMR magnetometer represents a significant advancement in absolute magnetometry.
  • This work provides a critical calibration tool for the muon magnetic moment anomaly experiment.
  • Future independent determination of the ^{3}He magnetic moment will establish a new absolute magnetometry standard.