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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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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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Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
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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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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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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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Modelling of Dynamic Behaviour in Magnetic Nanoparticles.

Max Tigo Rietberg1, Sebastiaan Waanders1, Melissa Mathilde Horstman-van de Loosdrecht1

  • 1Magnetic Detection & Imaging Group, Technical Medical Centre, University of Twente, 7522 NH Enschede, The Netherlands.

Nanomaterials (Basel, Switzerland)
|December 24, 2021
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Summary

This study introduces a new model for magnetic nanoparticle (MNP) dynamics, improving biosensing and imaging applications. The model accurately predicts MNP behavior under varying magnetic fields, enhancing device performance.

Keywords:
Brownian relaxationFokker-Planck equationNéel relaxationanisotropymagnetic nanoparticlesmodellingparticle response function

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Area of Science:

  • Physics of magnetic nanoparticles
  • Magnetization dynamics
  • Biosensing technologies

Background:

  • Efficient biosensing relies on understanding magnetic nanoparticle (MNP) magnetization dynamics.
  • Current models often oversimplify MNP behavior, neglecting non-static local fields and competing relaxation processes.

Purpose of the Study:

  • To develop and evaluate an approximation model for MNP magnetization dynamics under time-varying magnetic fields.
  • To improve the accuracy of modeling superparamagnetic nanoparticle behavior for applications like differential magnetometry and magnetic particle imaging.

Main Methods:

  • Based on Fokker-Planck equations for Néel and Brownian relaxation mechanisms.
  • Numerical approximation to solve equations, incorporating particle size and anisotropy distributions.
  • Model evaluated using Synomag®-D70, Synomag®-D50, and SHP-15 nanoparticles.

Main Results:

  • The developed model provides an accurate description of MNP magnetization dynamics.
  • Good agreement observed between simulation results and experimental measurements for tested MNP samples.
  • The model's applicability extends to various magnetic sensing techniques.

Conclusions:

  • The novel approximation model enhances the understanding and prediction of MNP behavior.
  • This work contributes to the efficient development and utilization of MNPs in advanced biosensing and imaging.
  • Accurate modeling is crucial for optimizing MNP-based technologies.