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Magnetic Field Lines01:19

Magnetic Field Lines

4.0K
The representation of magnetic fields by magnetic field lines is very useful in visualizing the strength and direction of the magnetic field. Each of the magnetic field lines forms a closed loop. The field lines emerge from the north pole (N), loop around to the south pole (S), and continue through the bar magnet back to the north pole.
Magnetic field lines follow several hard-and-fast rules:
4.0K
Magnetic Flux01:18

Magnetic Flux

3.4K
The magnetic flux measures the number of magnetic field lines passing through a given surface area. The SI unit for magnetic flux is the weber (Wb). Magnetic flux is a scalar quantity. It depends on three factors: the strength of the magnetic field B, the area through which the field lines pass, and the relative orientation of the field with the surface area.
Suppose a surface is divided into elements of area dA. For each element, the component of the magnetic field that is normal to the...
3.4K
Divergence and Curl of Magnetic Field01:26

Divergence and Curl of Magnetic Field

2.7K
The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
2.7K
Diamagnetism01:26

Diamagnetism

2.4K
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.
Diamagnetism was discovered by Anton Brugmans in 1778 when he observed that bismuth gets repelled by magnetic fields, thus theorizing that diamagnets get repelled by magnets....
2.4K
Magnetic Susceptibility and Permeability01:31

Magnetic Susceptibility and Permeability

921
In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of proportionality, a dimensionless number, is called magnetic susceptibility. The value of the susceptibility depends on the type of material.
When diamagnetic materials are placed under an external magnetic field, the moments opposite to the field are induced. Hence, the susceptibility for diamagnets has a minimal negative value of 10-5–10-6. Since...
921
Magnetic Field due to Moving Charges01:23

Magnetic Field due to Moving Charges

8.3K
A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
8.3K

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Related Experiment Video

Updated: May 22, 2025

Fabrication Procedures and Birefringence Measurements for Designing Magnetically Responsive Lanthanide Ion Chelating Phospholipid Assemblies
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Fabrication Procedures and Birefringence Measurements for Designing Magnetically Responsive Lanthanide Ion Chelating Phospholipid Assemblies

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Magnetic Lyddane-Sachs-Teller Relation.

Viktor Rindert1, Vanya Darakchieva1,2, Tapati Sarkar3

  • 1Lund University, NanoLund and Solid State Physics, S-22100 Lund, Sweden.

Physical Review Letters
|March 14, 2025
PubMed
Summary

Researchers have established a novel magnetic Lyddane-Sachs-Teller relation. This new magnetic relation connects static permeability to antiresonance and resonance frequencies of magnetic excitations.

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Area of Science:

  • Condensed Matter Physics
  • Solid-State Physics
  • Materials Science

Background:

  • The dielectric Lyddane-Sachs-Teller relation links static dielectric properties to optical phonon frequencies.
  • Nuclear induction phenomena in oscillating electromagnetic fields are described by Bloch's model equations.
  • Understanding magnetic properties of materials is crucial for technological applications.

Purpose of the Study:

  • To introduce and describe a magnetic analog of the Lyddane-Sachs-Teller relation.
  • To explore the relationship between static magnetic permeability and magnetic excitation frequencies.
  • To validate the proposed magnetic relation experimentally.

Main Methods:

  • Derivation of the magnetic relation from nuclear induction model equations.
  • Utilizing terahertz electron magnetic resonance spectroscopic ellipsometry.
  • Optical magnetization measurements on iron-doped gallium nitride in an external magnetic field.

Main Results:

  • A novel magnetic Lyddane-Sachs-Teller relation has been formulated.
  • The relation connects static magnetic permeability to the product of antiresonance and resonance frequency ratios.
  • Experimental data confirms the validity of the magnetic relation.

Conclusions:

  • The established magnetic relation offers a new perspective on magnetic properties.
  • This finding provides a tool for characterizing magnetic excitations in materials.
  • The study highlights the utility of terahertz spectroscopic ellipsometry in magnetic material research.