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Related Concept Videos

Magnetic Fields01:27

Magnetic Fields

7.0K
A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
A magnetic field is defined by the force that a charged particle experiences...
7.0K
Biot-Savart Law01:19

Biot-Savart Law

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The Biot-Savart law gives the magnitude and direction of the magnetic field produced by a current. This empirical law was named in honor of two scientists, Jean-Baptiste Biot and Félix Savart, who investigated the interaction between a straight, current-carrying wire and a permanent magnet.
A current-carrying wire creates a magnetic field in its vicinity. Consider an infinitesimal current element dl in a wire. The direction of vector dl is along the direction of the current. The total magnetic...
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Magnetic Field Due To A Thin Straight Wire01:28

Magnetic Field Due To A Thin Straight Wire

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Consider an infinitely long straight wire carrying a current I. The magnetic field at point P at a distance a from the origin can be calculated using the Biot-Savart law.
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Ampere's Law01:18

Ampere's Law

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A fundamental property of a static magnetic field is that it is not conservative, unlike an electrostatic field. Instead, there is a relationship between the magnetic field and its source, electric current. Mathematically, this is expressed in terms of the line integral of the magnetic field, which is also known as Ampère’s law. It is valid only if the currents are steady and no magnetic materials or time-varying electric fields are present.
Ampère's law states that for any...
4.7K
Divergence and Curl of Magnetic Field01:26

Divergence and Curl of Magnetic Field

3.8K
The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
3.8K
Faraday's Law01:10

Faraday's Law

5.5K
Faraday's law state that the induced emf is the negative change in the magnetic flux per unit of time. Any change in the magnetic field or change in the orientation of the area of the coil with respect to the magnetic field induces a voltage (emf). The magnetic flux measures the number of magnetic field lines through a given surface area. Magnetic flux is estimated from the integral of the dot product of the magnetic field vector and the area vector. The negative sign describes the...
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Related Experiment Video

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Frequency Mixing Magnetic Detection Scanner for Imaging Magnetic Particles in Planar Samples
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Frequency Mixing Magnetic Detection Scanner for Imaging Magnetic Particles in Planar Samples

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Magnetic Guinier law.

Andreas Michels1, Artem Malyeyev1, Ivan Titov1

  • 1Department of Physics and Materials Science, University of Luxembourg, 162A Avenue de la Faïencerie, L-1511 Luxembourg, Grand Duchy of Luxembourg.

Iucrj
|January 18, 2020
PubMed
Summary
This summary is machine-generated.

The Guinier law, typically used for nonmagnetic nanoparticles, is now adapted for magnetic systems. This magnetic Guinier law allows for nanoparticle size determination in ferromagnets, even without sharp interfaces.

Keywords:
Guinier lawanisotropyferromagnetsmagnetic materialsmagnetic scatteringmicromagneticsnanosciencesmall-angle neutron scattering

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Area of Science:

  • Materials Science
  • Physics
  • Nanotechnology

Background:

  • Small-angle scattering (SAS) is crucial for determining nanoparticle sizes.
  • The Guinier law is a standard approximation for nonmagnetic systems with distinct particle-matrix interfaces.
  • Magnetic materials, like nanocrystalline ferromagnets, often lack sharp interfaces due to magnetization fluctuations.

Purpose of the Study:

  • To introduce and validate the Guinier law for magnetic small-angle neutron scattering (MSANS).
  • To demonstrate the applicability of the magnetic Guinier law to systems without sharp interfaces.
  • To analyze the factors influencing the magnetic Guinier radius in ferromagnets.

Main Methods:

  • Application of the Guinier law approximation to magnetic small-angle neutron scattering data.
  • Experimental validation using nanocrystalline cobalt samples.
  • Analysis of the magnetic Guinier radius dependence on applied magnetic field and magnetic interactions.

Main Results:

  • The Guinier law is successfully adapted for magnetic small-angle neutron scattering.
  • Experimental data from nanocrystalline cobalt confirms the applicability of the magnetic Guinier law.
  • The magnetic Guinier radius is shown to be dependent on magnetic field, interactions, and anisotropy.

Conclusions:

  • The magnetic Guinier law extends the utility of SAS for characterizing magnetic nanoparticles.
  • This method is applicable to fully dense ferromagnets with random anisotropy, overcoming limitations of the conventional Guinier law.
  • The study provides a new tool for understanding magnetic microstructure at the nanoscale.