Physics of the Solid State

, Volume 59, Issue 4, pp 722–727 | Cite as

The energy of a prolate spheroidal shell in a uniform magnetic field

  • Yu. A. KoksharovEmail author


The problem of the energy of a spheroidal magnetic shell, solved by methods of classical electrodynamics, arises, in particular, upon the study of thin-wall biocompatible microcapsules in connection with a pressing issue of targeted drug delivery. The drug inside a microcapsule should be released from the shell at a required instant of time by destroying the capsule’s shell. The placement inside a shell of magnetic nanoparticles sensitive to an external magnetic field theoretically makes it possible to solve both problems: to transport a capsule to the required place and to destroy its shell. In particular, the shell can be destroyed under the action of internal stress when the shape of a capsule is changed. In this paper, the analysis of the model of a magnetic microcapsule in the form of a prolate spheroidal shell is performed and formulas for the magnetostatic and magnetic free energy when the magnetic field is directed along the major axis of the spheroid are derived.


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© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia
  2. 2.Institute of General and Inorganic ChemistryRussian Academy of SciencesMoscowRussia
  3. 3.Institute of Radio Engineering and ElectronicsRussian Academy of SciencesMoscowRussia

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