A New Classical-Quantum Model for Comparing the Magnetization of Ferromagnetic and Superparamagnetic Nanoparticles During Magnetic Hyperthermia

Subject Areas : Bio Materials

Maryam Bahmanpour ¹ , Hamid Ghayour ²

1 - Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran
2 - Department of Materials Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

Received: 2022-03-28 Accepted : 2023-07-01 Published : 2022-07-01

Keywords: Superparamagnetic, magnetic hyperthermia, ferromagnetic nanoparticles,

Abstract :

In the present work, for the first time, a classical-quantum model is established for comparing the magnetization of ferromagnetic/ superparamagnetic nanoparticles under AC magnetic fields (during the magnetic hyperthermia process). For this purpose, the fundamental Brillouin function was used and the physical properties of ferromagnetic and superparamagnetic nanoparticles were separated using this function. In the following, using the presented model, the magnetization of magnetic nanoparticles was compared under AC magnetic field. The results showed that in both classical and quantum states, the magnetization of ferromagnetic nanoparticles under an AC magnetic field was higher than that of superparamagnetic ones. Also, to confirm the correctness of the presented model, the output of the model was adapted to the Curie law in the classical mode and the Curie-Weiss law in the quantum mode. The correspondence between the magnetization obtained from the proposed model and the magnetization obtained from the Weiss molecular field was also confirmed.

References:

[1] S.h. Noh, S. Ho Moon, T. Shin, Y. Lim, J. Cheon, Recent advances of magneto-thermal capabilities of nanoparticles: From design principles to biomedical applications, Nano Today13 (2017) 61–76.

[2] N.D. Thorat, R. Bohar, H.M. Yadav, S.V. Otari, S.H. Pawar, S.A.M. Tofail, ultifunctional Magnetic Nanostructures for Cancer Hyperthermia Therapy, Nanoarchitectonics for Smart Delivery and Drug Targeting, 2016(1) 589–612.

[3] S. Laurent, S. Dutz, U. O. Häfeli, M. Mahmoudi, Magnetic fluid hyperthermia: Focus on superparamagnetic iron oxide nanoparticles, Advances in Colloid and Interface, Science, 166(2011) 8-23.

[4] M. Phuong Nguyen, M. Hoang Nguyen, J. Kim, D. Kim, Encapsulation of superparamagnetic iron oxide nanoparticles with polyaspartamide biopolymer for hyperthermia therapy, European Polymer Journal, 1225(2020) 109396.

[5] Z. Nemati, S. M. Salili, J. Alonso, A. Ataie, H. Srikanth, Superparamagnetic iron oxide nanodiscs for hyperthermia therapy: Does size matter?, Journal of Alloys and Compounds, 71415 (2017) 709-714.

[6] A. Jordan, R. Scholz, P. Wust, H. Fähling, R. Felix, Magnetic fluid hyperthermia (MFH): Cancer treatment with AC magnetic field induced excitation of biocompatible superparamagnetic nanoparticles, Journal of Magnetism and Magnetic Materials, 201(1999) 413-419.

[7] A. U. Rashid, P. Southern, J. A. Darr, S. Awan, S. Manzoor, Strontium hexaferrite (SrFe₁₂O₁₉) based composites for hyperthermia applications, Journal of Magnetism and Magnetic Materials 344 (2013)-134-139.

[8] B. E. Kashevsky, S. B. Kashevsky, V.S.Korenkov, Y.P. Istomin, T. I. Terpinskaya, V.S.Ulashchik, Magnetic hyperthermia with hard-magnetic nanoparticles, Journal of Magnetism and Magnetic Materials, 380 (2015) 335–340

[9] A. Najafinezhad, M.Abdellahi, S. Saber-Samandari, H. Ghayour Hydroxyapatite-M-type strontium hexaferrite: a new composite for hyperthermia applications, Journal of Alloys and Compounds 734 (2018), 290-300.

[10] H. Ghayour, M. Abdellahi, N. Ozada, S. Jabbrzare, A. Khandan, Hyperthermia application of zinc doped nickel ferrite nanoparticles Journal of Physics and Chemistry of Solids 111(2018), 464- 472.

[11] M. Abdellahi, Z. Aslani, N. Nazemi, S. Jabbrzare Introducing ZrFe₂O₅ nanopowders for hyperthermia applications Chinese journal of physics 56 (3), 880-885.

[12] EL. Verde, GT. Landi, JA. Gomes, MH. Sousa, AF. Bakuzis. Magnetic hyperthermia investigation of cobalt ferrite nanoparticles: Comparison between experiment, linear response theory, and dynamic hysteresis simulations. J Appl Phys 2012(111)123902-1–8.

[13] J. Carrey, B. Mehdaoui, M. Respaud, Simple models for dynamic hysteresis loop calculations of magnetic single-domain nanoparticles: application to magnetic hyperthermia optimization, Journal of Applied Physics 109 (2011)083921.

[14] Nicola A. Spaldin, Magnetic Materials, Fundamentals and Applications, Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo, Delhi, Dubai, Tokyo, 2010.