Scaled Effective Medium Theory (ScEMT) is applied to predict magnetic resonant and relaxation frequency in polymer-magnetic particle composites with favorable comparison to measured data. A single scaling function is identified that uses magnetic particulate resonant and relaxation frequencies, or magnetization and anisotropy field, volume fraction and DC susceptibility as predicted by ScEMT. Previous publications demonstrated that ScEMT improved the prediction of DC susceptibility as compared to classical models. Maxwell-Garnett (MGT) and Coherent Model Approximation (CMA) serve as theoretical baselines for comparison. However, both require separate scaling functions in their prediction of resonant and relaxation. Measured data are presented that suggest a single scaling function of ScEMT is sufficient to calculate both parameters. The paper emphasizes the application of the models and shows a wide range of particulate chemistries. ScEMT calculates susceptibility, resonant and relaxation frequency that agree with measurement. The paper concludes by predicting dispersive permeability that represents improvement over both CMA and MGT models. Future studies will address formulation of an EMT model (s) that describe mixtures of hard and soft magnetic materials mixed in a polymer composite. EMT for composite dielectric properties will be expanded to address the chaining. Early results of that effort will be reported in a separate paper.
| Published in | American Journal of Physics and Applications (Volume 9, Issue 1) |
| DOI | 10.11648/j.ajpa.20210901.13 |
| Page(s) | 15-24 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2021. Published by Science Publishing Group |
Effective Medium Theory, Permeability, Frequency Dispersions
| [1] | Périgo E. A., et al. (2018) Past, present, and future of soft magnetic composites, Appl. Phys. Rev. 5, 031301 (2018); https://doi.org/10.1063/1.5027045. |
| [2] | Idris Fadzidah Mohd, et al., (2015) Recent developments of smart electromagnetic absorbers based polymer-composites at gigahertz frequencies, J. Mag. Mag. Mat., 405, 197, doi.org/10.1016/j.jmmm.2015.12.070. |
| [3] | Moore R. L. (2019) Development of a volume fraction scaling function for demagnetization factors in effective media theories of magnetic composites, AIP Advances 9, 035107; https://doi.org/10.1063/1.5078736. |
| [4] | Moore R. L. (2019) Development and test of concentration scaled demagnetization in effective media theories of magnetic composites, J. Appl. Phys. 125, 085101 (2019); https://doi.org/10.1063/1.5053791. |
| [5] | Maxwell-Garnett J. C., (1904) Colours in Metal Glasses and in Metallic Films, (1904) Philosophical Transactions the Royal Society A, Vol. 203, No. 359-371, 1904, pp. 385-420. doi: 10.1098/rsta.1904.0024 T. |
| [6] | Tsutaoka t., et al. (2013) Analysis of the Permeability Spectra of Spinel Ferrite Composites Using Mixing Rules, 2013 IEEE EMC International Symposium Digest,. 545, IEEE-978-1-4799-0409-9/13. |
| [7] | Lax B., Button K. J., (1962), Microwave Ferrites and Ferrimagnetics, 474-477, McGraw Hill, Library Congress Catalog 62-11947 36785. |
| [8] | Bruggeman D. A. G. (1935), Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen. Dielektrizitätskonstanten und Leitfähigkeiten der Mischkörper ausisotropen Substanzen, Ann. Phys. 24, 636 doi.org/10.1002/andp.19354160705. |
| [9] | Chevalier A., Le Floc’h M. Dynamic permeability in soft magnetic composite materials Journal of Applied Physics 90, 3462 (2001); doi.org/10.1063/1.1389520. |
| [10] | Anhalt M., Weidenfeller B. (2007) Magnetic properties of polymer bonded soft magnetic particles for various filler fractions Journal of Applied Physics 101, 023907 (2007); https://doi.org/10.1063/1.2424395. |
| [11] | Alvarez C., Klapp S. H. L., (2012) Percolation and orientational ordering in systems of magnetic nanorods, Soft Matter, 2012, 8, 7480, DOI: 10.1039/c2sm25636c. |
| [12] | J. L. Mattei J. L., et al., (2000) Gyroresonance in unsaturated composite bodies: Experiments and theory, Journal of Applied Physics 87, 4975 (2000); https://doi.org/10.1063/1.373220. |
| [13] | Chevcalier A., Le Floc’h M., (2003) Dynamic permeability in soft magnetic composite materials, J. of Applied Physics, 90, 3462, (2001); https://doi.org/10.1063/1.1389520. |
| [14] | Alexis Chevalier A. Mattei, J. L., M. Le Floc’H, M, (2000). Ferromagnetic resonance of isotropic heterogeneous magnetic materials: theory and experiments. J. of Mag. and Mag. Mat. Elsevier, 2000, Vol. 215, pp. 66. https://hal.univ0brest.fr/hal-00491965. |
| [15] | J. P. Clerc J. P., Giraud G. Laugier J. M., J. M. Luck, (1990) The electrical conductivity of binary disordered systems, percolation clusters, fractals and related models Advances in Physics, 39, 3, 191-309, https://doi.org/10.1080/00018739000101501. |
| [16] | Y. Shimada, et al, (2011) Amorphous Submicron Particle Chains With High Permeability, IEEE TRANSACTIONS ON MAGNETICS, VOL. 47, NO. 10, OCTOBER 2011, DOI: 10.1109/TMAG.2011.2151181. |
| [17] | Moore R. L., Electromagnetic Composites Handbook: Models, Measurement and Characterization, Chapter 12, McGraw Hill ISBN: 978-1-25-958504-3 2016T. |
| [18] | T. Kasagi, et al., (1998) High Frequency Permeability of Perm alloy and its Composite Materials, Journal of The Magnetics Society of Japan, b1.22, Supplement, No. S1 (1998), https://doi.org/10.3379/jmsjmag.22.S1_295. |
| [19] | Rozanov K. N., et al., (2005) Microwave permeability of Co2Z composites, Journal of Applied Physics 97, 013905 (2005); https://doi.org/10.1063/1.1827911. |
| [20] | Rozanov K. N., Koledintseva M. Y., (2016) Application of generalized Snoek's law over a finite frequency range: A case study, J. Appl. Phys. 119, 073901 (2016); https://doi.org/10.1063/1.4941844. |
| [21] | J. L. Snoek, (1948) DISPERSION AND ABSORPTION IN MAGNETIC FERRITES AT FREQUENCIES ABOVE ONE Mc/s Physica, Volume 14, Issue 4, May 1948, Pages 207-217, https://doi.org/10.1016/0031-8914(48)90038-X. |
| [22] | Fiske J. J., et al., (1997) Percolation in magnetic composites. Journal of Materials Science 32, 5551–5560 (1997). https://doi.org/10.1023/A:1018620407013. |
| [23] | Tsutaoka T. (2003) Frequency dispersion of complex permeability in Mn–Zn and Ni–Zn spinel ferrites and their composite materials Journal of Applied Physics 93, 2789 (2003); https://doi.org/10.1063/1.1542651. |
| [24] | Zheng Hong, et al., (2009) Microwave Magnetic Permeability of Fe3O4 Nanoparticles Chin. Phys. Lett. 2009, Vol. 26 Issue (1): 017501 DOI: 10.1088/0256-307X/26/1/017501. |
| [25] | Liong S., PhD Thesis, “A Multifunctional Approach to Development, Fabrication, and Characterization of Fe3O4 Composites” School of Material Science and Engineering, Georgia Institute of Technology, (2005). |
| [26] | Pippin J. E. and C. L. Hogan C. L., “Initial Permeability Spectra of Ferrites and Garnets”, Sci. Rept. No. 1, AF19 (604) 1084, AFCRC-TN-59-169, Harvard University 1959. |
| [27] | Babayan V., et al., (2012) Magneto active feature of in-situ polymerized polyaniline film developed on the surface of manganese–zinc ferrite, Applied Surface Science 258 (2012) http://dx.doi.org/10.1016/j.apsusc.2012.04.12. |
| [28] | Li Z. W. Et al., (2008) Characteristics of effective permeability and resonance frequency for barium ferrite/epoxy composites, J. Appl. Phys. 103, 073901 (2008); https://doi.org/10.1063/1.2899958. |
| [29] | Massango H. et al., (2016) Electromagnetic properties of Fe53Ni47 and Fe53Ni47/Cu granular composite materials in the microwave range, Mater. Res. Express 3 (2016) 095801 doi: 10.1088/2053-1591/3/9/095801. |
| [30] | Wu L. Z., et al., (2006), High frequency complex permeability of iron particles in a nonmagnetic matrix, J. Appl. Phys. 99, 083905 (2006); https://doi.org/10.1063/1.2190719. |
| [31] | Shimada Y. et al., (2007) Permeability of submicron and nanometer ferromagnetic particle composites J. Appl. Phys. 101, 09M505 (2007); https://doi.org/10.1063/1.2712019. |
| [32] | Ramprasad R., et al., (2004) Magnetic properties of metallic ferromagnetic nanoparticle composites, Journal of Applied Physics 96, 519 (2004); https://doi.org/10.1063/1.1759073. |
| [33] | Slama J., Gruskova A., (2007) Modification of Frequency Spectra of Ferrite Composites Sept. 10-12, 2007, Pilsen Czech Republic, https://core.ac.uk/download/pdf/295587653.pdf. |
| [34] | Chih-Wen Chen, Magnetism and Metallurgy of Soft Magnetic Materials, Dover Publications (December 8, 2011) ISBN 13: 9780486649979. |
| [35] | Nakamura T. Tsutaoka T., Hatakeyama, K. (1994) Frequency dispersion of permeability in ferrite composite materials, Journal of Magnetism and Magnetic Materials Volume 138, Issue 3, December 1994, Pages 319-328 https://doi.org/10.1016/0304-8853(94)90054-X. |
APA Style
Ricky Lamar Moore. (2021). A Scaled Effective Medium Theory for Calculation of Resonant and Relaxation Frequency in Magnetic Composites. American Journal of Physics and Applications, 9(1), 15-24. https://doi.org/10.11648/j.ajpa.20210901.13
ACS Style
Ricky Lamar Moore. A Scaled Effective Medium Theory for Calculation of Resonant and Relaxation Frequency in Magnetic Composites. Am. J. Phys. Appl. 2021, 9(1), 15-24. doi: 10.11648/j.ajpa.20210901.13
AMA Style
Ricky Lamar Moore. A Scaled Effective Medium Theory for Calculation of Resonant and Relaxation Frequency in Magnetic Composites. Am J Phys Appl. 2021;9(1):15-24. doi: 10.11648/j.ajpa.20210901.13
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Download@article{10.11648/j.ajpa.20210901.13,
author = {Ricky Lamar Moore},
title = {A Scaled Effective Medium Theory for Calculation of Resonant and Relaxation Frequency in Magnetic Composites},
journal = {American Journal of Physics and Applications},
volume = {9},
number = {1},
pages = {15-24},
doi = {10.11648/j.ajpa.20210901.13},
url = {https://doi.org/10.11648/j.ajpa.20210901.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20210901.13},
abstract = {Scaled Effective Medium Theory (ScEMT) is applied to predict magnetic resonant and relaxation frequency in polymer-magnetic particle composites with favorable comparison to measured data. A single scaling function is identified that uses magnetic particulate resonant and relaxation frequencies, or magnetization and anisotropy field, volume fraction and DC susceptibility as predicted by ScEMT. Previous publications demonstrated that ScEMT improved the prediction of DC susceptibility as compared to classical models. Maxwell-Garnett (MGT) and Coherent Model Approximation (CMA) serve as theoretical baselines for comparison. However, both require separate scaling functions in their prediction of resonant and relaxation. Measured data are presented that suggest a single scaling function of ScEMT is sufficient to calculate both parameters. The paper emphasizes the application of the models and shows a wide range of particulate chemistries. ScEMT calculates susceptibility, resonant and relaxation frequency that agree with measurement. The paper concludes by predicting dispersive permeability that represents improvement over both CMA and MGT models. Future studies will address formulation of an EMT model (s) that describe mixtures of hard and soft magnetic materials mixed in a polymer composite. EMT for composite dielectric properties will be expanded to address the chaining. Early results of that effort will be reported in a separate paper.},
year = {2021}
}
TY - JOUR T1 - A Scaled Effective Medium Theory for Calculation of Resonant and Relaxation Frequency in Magnetic Composites AU - Ricky Lamar Moore Y1 - 2021/01/22 PY - 2021 N1 - https://doi.org/10.11648/j.ajpa.20210901.13 DO - 10.11648/j.ajpa.20210901.13 T2 - American Journal of Physics and Applications JF - American Journal of Physics and Applications JO - American Journal of Physics and Applications SP - 15 EP - 24 PB - Science Publishing Group SN - 2330-4308 UR - https://doi.org/10.11648/j.ajpa.20210901.13 AB - Scaled Effective Medium Theory (ScEMT) is applied to predict magnetic resonant and relaxation frequency in polymer-magnetic particle composites with favorable comparison to measured data. A single scaling function is identified that uses magnetic particulate resonant and relaxation frequencies, or magnetization and anisotropy field, volume fraction and DC susceptibility as predicted by ScEMT. Previous publications demonstrated that ScEMT improved the prediction of DC susceptibility as compared to classical models. Maxwell-Garnett (MGT) and Coherent Model Approximation (CMA) serve as theoretical baselines for comparison. However, both require separate scaling functions in their prediction of resonant and relaxation. Measured data are presented that suggest a single scaling function of ScEMT is sufficient to calculate both parameters. The paper emphasizes the application of the models and shows a wide range of particulate chemistries. ScEMT calculates susceptibility, resonant and relaxation frequency that agree with measurement. The paper concludes by predicting dispersive permeability that represents improvement over both CMA and MGT models. Future studies will address formulation of an EMT model (s) that describe mixtures of hard and soft magnetic materials mixed in a polymer composite. EMT for composite dielectric properties will be expanded to address the chaining. Early results of that effort will be reported in a separate paper. VL - 9 IS - 1 ER -
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