Testing theoretical models on experimental data of magnetization of magnetopolymer composites

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Abstract

Magnetic properties of magnetopolymer composite materials were studied. Monodisperse and bidisperse theoretical models considering interparticle dipole-dipole interactions were verified using experimental data. It was obtained that the bidisperse approximation well describe the experimental results for real polydisperse composites.

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About the authors

D. I. Radushnov

Ural Federal University

Author for correspondence.
Email: dmitry.radushnov@urfu.ru
Russian Federation, Yekaterinburg

A. Yu. Solovyova

Ural Federal University

Email: dmitry.radushnov@urfu.ru
Russian Federation, Yekaterinburg

E. A. Elfimova

Ural Federal University

Email: dmitry.radushnov@urfu.ru
Russian Federation, Yekaterinburg

A. V. Chernyshov

North Caucasus Federal University

Email: dmitry.radushnov@urfu.ru
Russian Federation, Stavropol

A. R. Zakinyan

North Caucasus Federal University

Email: dmitry.radushnov@urfu.ru
Russian Federation, Stavropol

S. A. Kunikin

North Caucasus Federal University

Email: dmitry.radushnov@urfu.ru
Russian Federation, Stavropol

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2. Fig. 1. Magnetization curves of magnetopolymer samples depending on the magnetic field hin for different values ​​of the volume fraction of magnetic nanoparticles φ. The samples were synthesized in the absence of a magnetic field. The symbols indicate experimental data: a) the solid line corresponds to the theoretical results of the monodisperse theory (1), b) the dotted line corresponds to the bidisperse theory (4), (5).

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3. Fig. 2. Magnetization plot for samples with magnetic nanoparticle volume fraction φ = 1.62% depending on magnetic field hin. Polymerization field hpext = 31.831 (a), 397.855 kA m-1. Solid line corresponds to monodisperse theory (1), dotted line — bidisperse theory (4), (5), symbols denote experimental data. The values ​​of the Langevin parameters corresponding to the polymerization fields hpext = 31.831 kA m-1 and hpext = 397.855 kA m-1 for a monodisperse system are ap = 0.84 and ap = 11.07, for a bidisperse system - aps = 0.33, apl = 4.04 and aps = 4.39, apl = 52.98.

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4. Fig. 3. Graph of magnetization depending on the volume fraction of magnetic nanoparticles φ for samples synthesized in a magnetic field of hpext = 397.800 kA m-1 and located in a magnetic field of hin = 15.912 kA m-1. The solid line corresponds to the theoretical results of the monodisperse theory (1); the dotted line corresponds to the bidisperse theory (4), (5); the symbols denote experimental data. The values ​​of the Langevin parameters corresponding to the fields hpext = 397.800 kA m-1 and hin = 15.912 kA m-1 are equal to ap = 11.06 and a = 0.45 for the monodisperse model, and aps = 4.39, apl = 52.97 and as = 0.18, al = 2.13 for the bidisperse model.

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