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Related Concept Videos

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Magnetostatic Boundary Conditions

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An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
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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.
The vector...
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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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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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Color in Coordination Complexes
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Updated: Jul 28, 2025

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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Disordering two-dimensional magnet-particle configurations using bidispersity.

K Tsuchikusa1, K Yamamoto1,2, M Katsura1

  • 1Department of Earth and Space Science, Osaka University, 1-1 Machikaneyama, Toyonaka 560-0043, Japan.

The Journal of Chemical Physics
|June 1, 2023
PubMed
Summary
This summary is machine-generated.

Bidispersity in magnetic particle systems controls disorder. Mixing equal numbers of large and small magnets creates ideal random configurations, unlike ordered monodisperse systems.

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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Bidispersity is crucial for preventing spontaneous ordering in many-particle systems.
  • Understanding the relationship between bidispersity and disorder is essential for controlling particle configurations.

Purpose of the Study:

  • To investigate the relationship between bidispersity and the degree of disorder in magnetic particle configurations.
  • To analyze how mixing large and small magnetic particles affects system randomness.

Main Methods:

  • Utilizing magnetic dipole-dipole interactions to disperse magnet particles in a 2D cell.
  • Introducing bidispersity by mixing large and small magnets.
  • Compressing the system to achieve uniform configurations and analyzing with Voronoi tessellation.

Main Results:

  • The disorder degree, evaluated by Voronoi tessellation, strongly depends on bidispersity.
  • Standard deviation of Voronoi cell area peaks when large and small particle numbers are nearly equal.
  • Zero skewness (symmetric distribution) is achieved with identical particle numbers, leading to an ideally disordered state.

Conclusions:

  • An equal ratio of large and small particles results in maximum disorder, characterized by a near-uniform distribution of pentagonal, hexagonal, and heptagonal Voronoi cells.
  • This disordered state contrasts with the dominance of hexagonal cells in ordered, monodisperse systems.
  • The study establishes a link between Voronoi analysis and global bond orientational order parameters in bidisperse systems.