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Related Concept Videos

Ferromagnetism01:31

Ferromagnetism

Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
Paramagnetism01:30

Paramagnetism

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...
Magnetism01:30

Magnetism

Magnets are commonly found in everyday objects, such as toys, hangers, elevators, doorbells, and computer devices. Experimentation on these magnets shows that all magnets have two poles: one is labeled north (N) and the other south (S). Magnetic poles repel if they are alike and attract if unlike. Moreover, both poles of a magnet attract unmagnetized pieces of iron.
An individual magnetic pole cannot be isolated. No matter how small, every piece of a magnet contains a north pole and a south...
Magnetic Susceptibility and Permeability01:31

Magnetic Susceptibility and Permeability

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...
Magnetic Force Between Two Parallel Currents01:13

Magnetic Force Between Two Parallel Currents

Two long, straight, and parallel current-carrying conductors exert a force of equal magnitude on one another. The direction of the force depends on the current direction in the conductors.
The force exerted by the magnetic field due to the first conductor over a finite length of the second conductor is given as the product of the current in the second conductor and  the vector product of the length vector along the current element and the field due to the first conductor. According to the...
Magnetic Field Lines01:19

Magnetic Field Lines

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:

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High-Speed Magnetic Tweezers for Nanomechanical Measurements on Force-Sensitive Elements
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Optimal Halbach Permanent Magnet Designs for Maximally Pulling and Pushing Nanoparticles.

A Sarwar1, A Nemirovski, B Shapiro

  • 1Fischell Department of Bioengineering, College Park ; University of Maryland, College Park.

Journal of Magnetism and Magnetic Materials
|January 22, 2013
PubMed
Summary

New optimization methods design Halbach arrays for stronger magnetic nanoparticle targeting forces at deep tissue locations. This breakthrough enhances magnetic drug targeting for deeper tumors and precise injections.

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Area of Science:

  • Biomedical Engineering
  • Materials Science
  • Applied Physics

Background:

  • Magnetic drug targeting uses magnets to guide therapeutic nanoparticles, but limited by magnetic field fall-off at depth.
  • Deeper targeting is crucial for treating conditions like deep-seated tumors and enabling precise injections.

Purpose of the Study:

  • To develop optimization methods for designing Halbach arrays that maximize magnetic forces on nanoparticles at deep tissue locations.
  • To enable effective magnetic drug targeting for a wider range of patient conditions and anatomical sites.

Main Methods:

  • Utilized semi-definite quadratic programming for optimization.
  • Developed 2D and 3D Halbach array designs for maximal pull or push magnetic forces.
  • Validated designs through simulations of Maxwell's equations.

Main Results:

  • Optimized Halbach arrays significantly outperform benchmark magnets in force generation at depth.
  • A 3D, 36-element array achieved 5x greater force at 10 cm depth compared to a uniform magnet.
  • Designs maintain performance with manufacturing errors (≤ 5° magnetization direction errors).

Conclusions:

  • The developed optimization methods yield provably globally optimal Halbach array designs.
  • These practical designs can significantly improve the depth and precision of magnetic drug targeting.
  • Feasible construction parameters (≤ 1 Tesla, ≤ 2000 cm³, ≤ 36 elements) ensure real-world applicability.