Abstract
The fitting method of permeability spectra was improved and then applied to pure phase polycrystalline garnet ferrites \({\text{Bi}}_{x} {\text{Ca}}_{1.4} {\text{Y}}_{1.6 - x} {\text{Fe}}_{4.1} {\text{Zr}}_{0.4} {\text{V}}_{0.5} {\text{O}}_{12} \;\left( {x = 0.3 - 1.5} \right)\), which were synthesized by a conventional solid-state reaction. The structural analysis of the samples was characterized by x-ray diffraction and scanning electron microscopy, and the results confirm that a single phase of garnet structure is formed in the prepared samples. The improved method gives more accurate fitting at both low- and high-frequency regions. At low frequency, it shows more significant features from the resonance of domain wall displacement. Near the cutoff frequency, the improved method gives closer fitting to Snoek’s limit curve. The fitting results show that the main magnetization process is from spin rotation, and a distinct peak corresponding to domain wall resonance is observed at low frequency, which is in agreement with the experimental data. In addition, the spin rotation components obtained by the improved method are closer to Snoek’s limit in the range close to the cutoff frequency. The improved fitting permeability spectra could be beneficial to understand the dynamic magnetization of magnetic materials in more detail.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
T. Nakamura, T. Miyamoto, and Y. Yamada, Complex Permeability Spectra of Polycrystalline Li-Zn Ferrite and Application to EM-Wave Absorber. J. Magn. Magn. Mater. 256, 340 (2003).
T. Nakamura and Tatsuya, Snoek’s Limit in High-Frequency Permeability of Polycrystalline Ni-Zn, Mg-Zn, and Ni-Zn-Cu Spinel Ferrites. J. Appl. Phys. 88, 348 (2000).
G.T. Rado, Magnetic Spectra of Ferrites. Rev. Mod. Phys. 25, 1 (1953).
S.A. Doi, D.P. Paul, M.A. Hakim, S. Akhter, and F. Lslam, Microstructure and Complex Permeability Spectra of Polycrystalline Cu-Zn Ferrites. J. Sci. Res. 4, 551 (2012).
J. Jankovskis, N. Ponomarenko, and D. Stepins, Frequency Dependence of Complex Permeability of Polycrystalline Ferrites Based on the Realities of Microstructure. Key. Eng. Mater. 2253, 507 (2013).
T. Tsutaoka, Frequency Dispersion of Complex Permeability in Mn-Zn and Ni-Zn Spinel Ferrites and their Composite Materials. J. Appl. Phys. 93, 2789 (2003).
Takanori, Tsutaoka, and Teruhiro, Permeability Spectra of Yttrium iron Garnet and its Granular Composite Materials under dc Magnetic Field. J. Appl. Phys. 110, 53909 (2011).
J. Wang, Z. Xue, S. Song, and H. Sun, Magnetic Properties and Loss Separation Mechanism of FeSi soft Magnetic Composites with In situ NiZn-Ferrite Coating. J. Mater. Sci. Mater. Electron. 32, 1 (2021).
T. Tsutaoka, K. Fukuyama, H. Kinoshita, and T. Kasagi, Negative Permittivity and Permeability Spectra of Cu/yttrium Iron Garnet Hybrid Granular Composite Materials in the Microwave Frequency Range. Appl. Phys. Lett. 103, 77 (2013).
Z.B. Xu, G.W. Wang, J.H. Cui, C. Liu, W.L. Li, and T. Wang, Co Ion-Substituted Dielectric–Magnetic Properties of BaZn2-xCoxFe16O27 for High-Frequency and Miniature Antennas. J. Mater. Sci. Mater. Electron. 33, 2765 (2022).
Q. Li, Y. Chen, L. Li, K. Qian, and V.G. Harris, Suppressed Domain Wall Damping in Planar BaM Hexaferrites for Miniaturization of Microwave Devices. J. Magn. Magn. Mater. 514, 167172 (2020).
C. Fu, W. Xian, and Z. Feng, Magnetic Spectra and RICHTER after Effect Relaxation in CexY3−xFe5O12 Ferrites. AIP Adv. 6, 055918 (2016).
H. Wijn and D. Van, A Richter Type After Effect in Ferrites Containing Ferrous and Ferric Ions. Rev. Mod. Phys. 25, 98 (1953).
T. Nakamura, Low-Temperature Sintering of Ni-Zn-Cu Ferrite and its Permeability Spectra. J. Magn. Magn. Mater. 168, 285 (1997).
G.T. Rado, R.W. Wright, and W.H. Emerson, Ferromagnetism at Very High Frequencies. III. Two Mechanisms of Dispersion in a Ferrite. Phys. Rev. 80, 273 (1950).
J.B. Birks, Magnetic Spectra. Proc. Inst. Electr. Eng. Part B. 104, 179 (2010).
S.E. Harrison, C.J. Kriessman, and S.R. Pollack, Magnetic Spectra of Manganese Ferrites. Phys. Rev. 110, 844 (1958).
G.F. Dionne, Magnetic Oxides (Boston: Springer, 2009), pp. 318–339.
G.F. Dionne, Magnetic Relaxation and Anisotropy Effects on high-Frequency Permeability. IEEE Trans. Magn. 39, 3121 (2003).
Y.J. Wu, C. Yu, and X.M. Chen, Magnetic and Magnetodielectric Properties of Bi-Substituted Yttrium Iron Garnet Ceramics. J. Magn. Magn. Mater. 324, 3334 (2012).
S. Hua, H. Zhang, X. Tang, and Y. Jing, Influence of Microstructure on Permeability Dispersion and Power Loss of NiZn Ferrite. J. Appl. Phys. 103, 160 (2008).
P. Agarwal, H. Khanduri, and J. Link, Structural, Microstructural, and Magnetic Studies of Y3Fe5-xNixO12 Garnet Nanoparticles. Ceram. Int. 46, 21039 (2020).
N. Jia, H.W. Zhang, J. Li, Y. Liao, C. Liu, and V.G. Harris, Polycrystalline Bi Substituted YIG Ferrite Processed via Low Temperature Sintering. J. Alloys Compd. 695, 931 (2016).
A.N. Lagarkov, K.N. Rozanov, N.A. Simonov, and S.N. Starostenko, Microwave Permeability of Magnetic Films (Boston: Springer, 2006), pp. 417–418.
Acknowledgments
This research is funded by the National Natural Science Foundation of China under Grant Nos. 61734002, 62171079 and 62171096, the Natural Science Foundation of Sichuan Province (No. 2022NSFSC0041).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Li, P., Wen, T., Li, J. et al. Improving the Goodness-of-Fit of Permeability Spectra and Application in Garnet Ferrite. J. Electron. Mater. 51, 5100–5109 (2022). https://doi.org/10.1007/s11664-022-09739-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11664-022-09739-9