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Related Concept Videos

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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Magnetic Susceptibility and Permeability01:31

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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.
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Paramagnetism01:30

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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The total amount of current flowing through one unit value of a cross-sectional area is referred to as current density. If the current flow is uniform, the amount of current flowing through a conductor is the same at all points along the conductor, even if the conductor area varies. The current density consists of the local magnitude and direction of the charge flow, which varies from point to point. Current density is measured in amperes per meter square, and direction is defined as the net...
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Diamagnetism

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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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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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Quantification of Cellular Densities and Antigenic Properties using Magnetic Levitation
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Current density and molecular magnetic properties.

Dage Sundholm1, Maria Dimitrova1,2, Raphael J F Berger2

  • 1Department of Chemistry, Faculty of Science, FI-00014 University of Helsinki, P.O. Box 55, A. I. Virtasen aukio 1, Finland. sundholm@chem.helsinki.fi.

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Summary
This summary is machine-generated.

This study explores how molecules respond to magnetic fields using advanced methods to calculate current densities. It details magnetic properties, aromaticity, and symmetry effects for better theoretical and experimental research.

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Area of Science:

  • Quantum mechanics
  • Computational chemistry
  • Molecular magnetism

Background:

  • External magnetic fields perturb quantum mechanical systems.
  • Understanding molecular magnetic properties is crucial for various scientific fields.
  • Current methods for calculating magnetic responses require further refinement.

Purpose of the Study:

  • To provide an overview of molecular responses to external magnetic fields.
  • To present state-of-the-art methods for calculating magnetically-induced current-density susceptibilities.
  • To discuss the implications of current-density susceptibilities on molecular magnetic properties, aromaticity, and symmetry.

Main Methods:

  • Calculation of magnetically-induced current-density susceptibilities.
  • Theoretical review of spin-current densities and relativistic effects.
  • Application of magnetic ring-current criteria and symmetry principles.

Main Results:

  • Established methods for calculating current-density susceptibilities and their relation to molecular magnetic properties.
  • Detailed discussion on magnetic ring-currents, antiaromaticity, and symmetry effects.
  • Exploration of current density topology in twisted and toroidal molecules.

Conclusions:

  • Magnetically-induced current densities offer valuable insights into molecular magnetic properties.
  • The presented methods and theories advance the understanding of aromaticity and antiaromaticity.
  • This work has significant implications for both theoretical and experimental research in molecular magnetism.