najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2026-17-4-515-522najo-1914Research ArticleCHEMISTRY AND MATERIALS SCIENCEХИМИЯ И НАУКА О МАТЕРИАЛАХAlternating field magneto-optical response of hard magnetic nanoplate dispersionsМагнитооптический отклик дисперсий магнитотвердых нанопластин в переменном полеhttps://orcid.org/0000-0002-3644-9673ЕлисеевА. А.EliseevArtem A.

Artem A. Eliseev – Department of Chemistry

Leninskie Gory, 1b3, Moscow 119991

artem.a.eliseev@gmail.comhttps://orcid.org/0009-0000-3487-0301СяЦзытяньXiaZitian

Zitian Xia – Department of Materials Science

Leninskie Gory, 1b73, Moscow 119991

xiazitian1999@gmail.comhttps://orcid.org/0000-0002-2418-0689ЛукашинA. B.LukashinA. V.

Alexey V. Lukashin – Department of Materials Science, Lomonosov Moscow State University; Kurnakov Institute of General and Inorganic Chemistry of the Russian Academy of Sciences,

Leninskie Gory, 1b73, Moscow 119991

lukashinav@my.msu.ruhttps://orcid.org/0000-0002-1415-2190КазинП. Е.KazinP. E.

Pavel E. Kazin – Department of Chemistry 

Leninskie Gory, 1b3, Moscow 119991

 

kazin@inorg.chem.msu.ruhttps://orcid.org/0000-0002-2851-6821ЕлисеевА. А.EliseevAndrei A.

Andrei A. Eliseev – Department of Materials Science 

Leninskie Gory, 1b73, Moscow 119991

eliseev@inorg.chem.msu.ruLomonosov Moscow State UniversityRussian FederationLomonosov Moscow State University; Kurnakov Institute of General and Inorganic Chemistry of the Russian Academy of SciencesRussian Federation202631082026174515522Copyright © Eliseev A.A., Xia Z., Lukashin A.V., Kazin P.E., Eliseev A.A., 20262026Елисеев А.А., Ся Ц., Лукашин A.B., Казин П.Е., Елисеев А.А.Eliseev A.A., Xia Z., Lukashin A.V., Kazin P.E., Eliseev A.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/1914

Here we provide an analysis of alternating field magneto-optical (AFMO) response for concentrated dispersions of hard magnetic nanoplates. Dynamics of hexaferrite 50×5 nm nanoplates in 0.3–30 g/L magnetic fluids was traced with amplitude and phase shift of transmission AFMO response in the frequency range of 1 Hz – 10 kHz and magnetic fields up to 50 Oe. AFMO signal was used for reconstructing fast magnetization susceptibility dependence on the applied field depending on concentration of nanoplates. The two modes of platelets reorientation were revealed with AC field frequency and amplitude variation. High-frequency mode, characterized by magnetization phase lag, increasing with the excitation field frequency, corresponds to incomplete orientation of platelets after the field. Contrary, the low-frequency mode with magnetization phase lag, increasing reciprocally to the excitation field frequency, reveals AC coercivity of ferrofluid. The last is addressed to the self-stabilization of particles orientations by magnetic momenta of constituent particles.

В настоящей работе представлен анализ магнитооптического отклика переменного поля для концентрированных дисперсий магнитотвердых нанопластин. Динамика наночастиц гексаферрита с размерами 50×5 нм в магнитных жидкостях с концентрацией 0,3–30 г/л отслеживалась по амплитуде и фазовому сдвигу магнитооптического отклика в диапазоне частот 1 Гц - 10 кГц и магнитных полях амплитудой до 50 Э. Магнитооптический сигнал использовался для реконструкции зависимости мгновенной намагниченности от приложенного поля в зависимости от концентрации нанопластинок. Были выявлены два режима переориентации наночастиц в зависимости от частоты и амплитуды приложенного переменного поля. Высокочастотный режим характеризуется фазовым сдвигом процесса намагничивания, который увеличивается с частотой возбуждающего поля и соответствует неполной ориентации пластинок в результате последнего. Напротив, в низкочастотном режиме сдвиг фазы увеличивается обратно пропорционально частоте возбуждающего поля, что позволяет выявить наличие «коэрцитивной силы переменного поля». Последний эффект связан со стабилизацией ориентации пластинок магнитными моментами составляющих феррожидкость наночастиц.

Гесаферритферрожидкостьмагнитооптикадинамика намагничиванияHexaferriteferrofluidmagneto-opticsmagnetization dynamicsThe work is supported by the Russian Science Foundation (Grant No. 23-73-10045). The authors are thankful M.V. Lomonosov Moscow State University Program of Development for the instrumental support of the studies (Renishaw InVia Reflex system).ReferencesLisjak D., Mertelj A. Anisotropic magnetic nanoparticles: A review of their properties, syntheses and potential applications. Prog. Mater. Sci., 2018, 95, P. 286–328.Lisjak D., Mertelj A. Anisotropic magnetic nanoparticles: A review of their properties, syntheses and potential applications. Prog. Mater. Sci., 2018, 95, P. 286–328.Scherer C., Figueiredo Neto A.M. Ferrofluids: Properties and applications. Brazilian J. Phys., 2005, 35(3 A).Scherer C., Figueiredo Neto A.M. Ferrofluids: Properties and applications. Brazilian J. Phys., 2005, 35(3 A).Philip J. Magnetic nanofluids (Ferrofluids): Recent advances, applications, challenges, and future directions. Adv. Colloid Interface Sci., 2023, 311, P. 102810.Philip J. Magnetic nanofluids (Ferrofluids): Recent advances, applications, challenges, and future directions. Adv. Colloid Interface Sci., 2023, 311, P. 102810.Morillas J.R., De Vicente J. Magnetorheology: a review. Soft Matter, 2020, 16(42), P. 9614–9642.Morillas J.R., De Vicente J. Magnetorheology: a review. Soft Matter, 2020, 16(42), P. 9614–9642.Li Y., Han P., Li D., Chen S., Wang Y. Typical dampers and energy harvesters based on characteristics of ferrofluids. Friction, 2023, 11(2), P. 165–186.Li Y., Han P., Li D., Chen S., Wang Y. Typical dampers and energy harvesters based on characteristics of ferrofluids. Friction, 2023, 11(2), P. 165–186.Huke B., Lu¨cke M. Magnetization of ferrofluids with dipolar interactions: A Born-Mayer expansion. Phys. Rev. E – Stat. Physics, Plasmas, Fluids, Relat. Interdiscip. Top., 2000, 62(5), P. 6875–6890.Huke B., Lu¨cke M. Magnetization of ferrofluids with dipolar interactions: A Born-Mayer expansion. Phys. Rev. E – Stat. Physics, Plasmas, Fluids, Relat. Interdiscip. Top., 2000, 62(5), P. 6875–6890.Brown W.F. Thermal fluctuations of a single-domain particle. Phys. Rev., 1963, 130(5), P. 1677–1686.Brown W.F. Thermal fluctuations of a single-domain particle. Phys. Rev., 1963, 130(5), P. 1677–1686.Ne´el L. The´orie du traˆınage magne´tique des ferromagne´tiques en grains fins avec application aux terres cuites. Ann. Ge´ophysique, 1949, 5, P. 136.Ne´el L. The´orie du traˆınage magne´tique des ferromagne´tiques en grains fins avec application aux terres cuites. Ann. Ge´ophysique, 1949, 5, P. 136.Klein T., Laptev A., Gu¨nther A., Bender P., Tscho¨pe A., Birringer R. Magnetic-field-dependent optical transmission of nickel nanorod colloidal dispersions. J. Appl. Phys., 2009, 106(11), P. 114301.Klein T., Laptev A., Gu¨nther A., Bender P., Tscho¨pe A., Birringer R. Magnetic-field-dependent optical transmission of nickel nanorod colloidal dispersions. J. Appl. Phys., 2009, 106(11), P. 114301.Eliseev A.A., Eliseev A.A., Trusov L.A., Chumakov A.P., Boesecke P., Anokhin E.O., Vasiliev A.V., Sleptsova A.E., Gorbachev E.A., Korolev V.V., Kazin P.E. Rotational dynamics of colloidal hexaferrite nanoplates. Appl. Phys. Lett., 2018, 113(11), P. 113106.Eliseev A.A., Eliseev A.A., Trusov L.A., Chumakov A.P., Boesecke P., Anokhin E.O., Vasiliev A.V., Sleptsova A.E., Gorbachev E.A., Korolev V.V., Kazin P.E. Rotational dynamics of colloidal hexaferrite nanoplates. Appl. Phys. Lett., 2018, 113(11), P. 113106.Feng Z.-G., Feng Y., Andersson M. Shape Effects on the Drag Force and Motion of Nano and Micro Particles in Low Reynolds Number Flows; Proceedings of ASME 2012 International Mechanical Engineering Congress & Exposition IMECE2012. Houston, Texas, USA, November 9–15, American Society of Mechanical Engineers, 2012, P. 999–1004.Feng Z.-G., Feng Y., Andersson M. Shape Effects on the Drag Force and Motion of Nano and Micro Particles in Low Reynolds Number Flows; Proceedings of ASME 2012 International Mechanical Engineering Congress & Exposition IMECE2012. Houston, Texas, USA, November 9–15, American Society of Mechanical Engineers, 2012, P. 999–1004.Szczytko J., Vaupoticˇ, Osipov M.A., Madrak K., Go´recka E. Effect of dimerization on the field-induced birefringence in ferrofluids. Phys. Rev. E, 2013, 87(6), P. 062322.Szczytko J., Vaupoticˇ, Osipov M.A., Madrak K., Go´recka E. Effect of dimerization on the field-induced birefringence in ferrofluids. Phys. Rev. E, 2013, 87(6), P. 062322.Raikher Y.L., Scholten P.C. Magnetic colloid in an AC magnetic field; Constant birefringence effect. J. Magn. Magn. Mater., 1988, 74(3), P. 275– 280.Raikher Y.L., Scholten P.C. Magnetic colloid in an AC magnetic field; Constant birefringence effect. J. Magn. Magn. Mater., 1988, 74(3), P. 275– 280.Trusov L.A., Vasiliev A. V., Lukatskaya M.R., Zaytsev D.D., Jansen M., Kazin P.E. Stable colloidal solutions of strontium hexaferrite hard magnetic nanoparticles. Chem. Commun., United Kingdom, United Kingdom, 2014, 50(93), P. 14581–14584.Trusov L.A., Vasiliev A. V., Lukatskaya M.R., Zaytsev D.D., Jansen M., Kazin P.E. Stable colloidal solutions of strontium hexaferrite hard magnetic nanoparticles. Chem. Commun., United Kingdom, United Kingdom, 2014, 50(93), P. 14581–14584.Kazin P.E., Sleptsova A.E., Vasiliev A.V., Eliseev A.A., Dinnebier R.E., Bette S. Single-domain particles of manganese-for-iron substituted M-type barium hexaferrite: synthesis, crystal structure, and magnetic properties. Nanosyst. Physics, Chem. Math., 2024, 15(1), P. 80–97.Kazin P.E., Sleptsova A.E., Vasiliev A.V., Eliseev A.A., Dinnebier R.E., Bette S. Single-domain particles of manganese-for-iron substituted M-type barium hexaferrite: synthesis, crystal structure, and magnetic properties. Nanosyst. Physics, Chem. Math., 2024, 15(1), P. 80–97.Pullar R.C. Hexagonal ferrites: A review of the synthesis, properties and applications of hexaferrite ceramics. Prog. Mater. Sci., 2012, 57(7), P. 1191–1334.Pullar R.C. Hexagonal ferrites: A review of the synthesis, properties and applications of hexaferrite ceramics. Prog. Mater. Sci., 2012, 57(7), P. 1191–1334.Bohren C.F., Huffman D.R. Absorption and Scattering of Light by Small Particles; Wiley, 1998.Bohren C.F., Huffman D.R. Absorption and Scattering of Light by Small Particles; Wiley, 1998.Eliseev A.A., Korolev V.V., Anokhin E.O., Chumakov A.P., Vasiliev A.V., Trusov L.A., Kazin P.E., Eliseev A.A. Fast micrometer resolution magneto-optical viscosity measurements with hard magnetic nanoplatelets. Sensors Int., 2025, P. 100337.Eliseev A.A., Korolev V.V., Anokhin E.O., Chumakov A.P., Vasiliev A.V., Trusov L.A., Kazin P.E., Eliseev A.A. Fast micrometer resolution magneto-optical viscosity measurements with hard magnetic nanoplatelets. Sensors Int., 2025, P. 100337.Romodina M.N., Lyubin E.V., Fedyanin A.A. Detection of Brownian Torque in a Magnetically-Driven Rotating Microsystem. Sci. Rep., 2016, 6(1), P. 21212.Romodina M.N., Lyubin E.V., Fedyanin A.A. Detection of Brownian Torque in a Magnetically-Driven Rotating Microsystem. Sci. Rep., 2016, 6(1), P. 21212.Honecker D., Bender P., Falke Y., Dresen D., Kundt M., Schmidt A.M., Tscho¨pe A., Sztucki M., Burghammer M., Disch S. Controlling the rotation modes of hematite nanospindles using dynamic magnetic fields. Nanoscale Adv., 2022, 4(21), P. 4535–4541.Honecker D., Bender P., Falke Y., Dresen D., Kundt M., Schmidt A.M., Tscho¨pe A., Sztucki M., Burghammer M., Disch S. Controlling the rotation modes of hematite nanospindles using dynamic magnetic fields. Nanoscale Adv., 2022, 4(21), P. 4535–4541.Chen J., Duan J., Anokhin E.O., Xia Z., Svetogorov R.D., Semina A.A., Nygaard R.R., Eliseev A.A., Gorbachev E.A., Trusov L.A. Hard magnetic colloidal nanoplates with tunable size for magneto-optical applications. J. Mater. Chem. C, The Royal Society of Chemistry, 2024, 12(37), P. 14865–14875.Chen J., Duan J., Anokhin E.O., Xia Z., Svetogorov R.D., Semina A.A., Nygaard R.R., Eliseev A.A., Gorbachev E.A., Trusov L.A. Hard magnetic colloidal nanoplates with tunable size for magneto-optical applications. J. Mater. Chem. C, The Royal Society of Chemistry, 2024, 12(37), P. 14865–14875.Grigorieva N.A., Chen H., Semina A.A., Pavel E., Eliseev A.A., Zuo T., Eliseev A.A., Sergey V. Small-Angle Polarized Neutron Scattering Study of Strontium Hexaferrite Nanoplates Ferrofluid. J. Appl. Crystallogr., 2026, 59(4).Grigorieva N.A., Chen H., Semina A.A., Pavel E., Eliseev A.A., Zuo T., Eliseev A.A., Sergey V. Small-Angle Polarized Neutron Scattering Study of Strontium Hexaferrite Nanoplates Ferrofluid. J. Appl. Crystallogr., 2026, 59(4).Eliseev A.A., Trusov L.A., Anokhin E.O., Chumakov A.P., Korolev V. V., Sleptsova A.E., Boesecke P., Pryakhina V.I., Shur V.Y., Kazin P.E., Eliseev A.A. Tunable order in colloids of hard magnetic hexaferrite nanoplatelets. Nano Res., 2022, 15(2), P. 898–906.Eliseev A.A., Trusov L.A., Anokhin E.O., Chumakov A.P., Korolev V. V., Sleptsova A.E., Boesecke P., Pryakhina V.I., Shur V.Y., Kazin P.E., Eliseev A.A. Tunable order in colloids of hard magnetic hexaferrite nanoplatelets. Nano Res., 2022, 15(2), P. 898–906.

The authors declare that there are no conflicts of interest present.