Machine Learning Design of FeSiAl-based Alloy Microwave Absorbents and Their Multiphase Synergistic Magnetic Resonance

SUN Yize; WANG Xu; LIAO Chenxi; KE Yajiao; CHEN Zhihong

doi:10.19554/j.cnki.1001-3563.2026.13.038

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Packaging Engineering ›› 2026, Vol. 47 ›› Issue (13) : 359-371. DOI: 10.19554/j.cnki.1001-3563.2026.13.038

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Machine Learning Design of FeSiAl-based Alloy Microwave Absorbents and Their Multiphase Synergistic Magnetic Resonance

SUN Yize¹, WANG Xu¹, LIAO Chenxi², KE Yajiao^1*, CHEN Zhihong¹

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Abstract

The work aims to address the poor low-frequency permeability, the uncertain specific occupation of multi-component doped atoms, and the ambiguous multi-phase synergistic resonance behavior of traditional FeSiAl-based soft magnetic alloys suffer by unraveling the low-frequency broadband magnetic loss mechanism from atomic to mesoscopic scales via machine learning-based composition optimization and advanced characterization techniques. Physics-informed features were integrated with the Robust-XGBoost model for high-throughput screening and prediction to determine the optimal elemental composition, and flake-shaped powders were subsequently fabricated by gas atomization, high-energy ball milling and vacuum heat treatment. Synchrotron radiation X-ray absorption spectroscopy and GSAS-Ⅱ whole pattern refinement technology were adopted to precisely resolve the microscopic atomic occupation. Combined with micromagnetic dynamic simulation, the intrinsic ferromagnetic resonance responses of A2, B2 and DO3 phases were quantitatively calculated. Targeting high magnetic permeability and low dielectric constant, a novel quinary alloy microwave absorbent of Fe_82.5Si_9.6Al_5.4Cu_1.1Ni_1.4 was designed and predicted by machine learning. After vacuum heat treatment at 600 ℃, a phase transition from disordered A2 phase to ordered B2 and DO3 phases occurred in the as-prepared alloy, forming a triple-phase coexisting state with a mass ratio of approximately 34:26:41. In this system, Cu atoms precipitated to form dispersed ultra-fine clusters, while Ni atoms mainly occupied the edge-center sites of the DO3 phase. Simulation results verified that the intrinsic natural resonance frequencies of A2, B2 and DO3 phases were 3.60, 2.86 and 0.98 GHz, respectively. The linear superposition of these intrinsic resonances and domain wall resonance contributed to the formation of asymmetric low-frequency broadband magnetic resonance, which remarkably enhanced the low-frequency electromagnetic performance. Machine learning enables the customized composition design of multi-alloy microwave absorbents. Moreover, the specific atomic occupation and multi-phase synergistic magnetic resonance can effectively broaden the low-frequency absorption bandwidth, providing a novel insight for the design of advanced low-frequency microwave absorbing materials.

Key words

machine learning / FeSiAl-based absorbent / multiphase synergistic resonance / low-frequency absorption

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SUN Yize, WANG Xu, LIAO Chenxi, KE Yajiao, CHEN Zhihong. Machine Learning Design of FeSiAl-based Alloy Microwave Absorbents and Their Multiphase Synergistic Magnetic Resonance[J]. Packaging Engineering. 2026, 47(13): 359-371 https://doi.org/10.19554/j.cnki.1001-3563.2026.13.038

References

[1] WANG D S, PING T, DU Z L, et al.Lessons from Nature: Advances and Perspectives in Bionic Microwave Absorption Materials[J]. Nano-Micro Letters, 2024, 17(1): 100.
[2] XU W T, LIU N, LU Z C.Recent Progress of Iron-Based Magnetic Absorbers and Its Applications in Elastomers: A Review[J]. Materials, 2024, 17(16): 4058.
[3] WANG T, CHEN G, ZHU J H, et al.Deep Understanding of Impedance Matching and Quarter Wavelength Theory in Electromagnetic Wave Absorption[J]. Journal of Colloid and Interface Science, 2021, 595: 1-5.
[4] ZHANG D Y, ZHANG W Q, CAI J.Fabrication and Electromagnetic Properties of Flake Ferrite Particles Based on Diatomite[J]. Journal of Magnetism and Magnetic Materials, 2011, 323(17): 2305-2309.
[5] MOZAFFARI M, AMOOHADI M.Sendust Alloy: A Review on the Synthesis, Structure, Magnetic Properties, and Applications[J]. Physics of Metals and Metallography, 2024, 125(1): S62-S71.
[6] ZHANG Y F, YOU C Z, WANG F Y, et al.Large Aspect Ratio Makes High Low-Frequency Microwave Absorption Performance via a Unique Roll Grinding Method for Flake FeSiAl[J]. Materials Today Communications, 2023, 35: 106267.
[7] WEI H Y, ZHANG Z P, HUSSAIN G, et al.Techniques to Enhance Magnetic Permeability in Microwave Absorbing Materials[J]. Applied Materials Today, 2020, 19: 100596.
[8] CHU X X, LIN S N, LI H Y, et al.Heterointerface Regulation of Core-Shell FeSiAl Magnetic Powders by in Situ Oxidation as High-Efficiency Absorbers[J]. Ceramics International, 2024, 50(9): 14731-14738.
[9] ZHANG Z Q, WEI J Q, YANG W F, et al.Effect of Shape of Sendust Particles on Their Electromagnetic Properties within 0.1-18 GHz Range[J]. Physica B: Condensed Matter, 2011, 406(20): 3896-3900.
[10] QIAO L, LI X L, WANG T, et al.Matching Conditions of Single Layer Absorber with Sendust Flaky-Filler Composite[J]. Journal of Magnetism and Magnetic Materials, 2015, 393: 347-351.
[11] LIU X L, SUN H L, YAN W W, et al.Effect of Gd Addition on the Microwave Absorption Properties of FeSiAl Composite[J]. Vacuum, 2024, 219: 112720.
[12] TANG J L, ZHONG L, YANG R Y, et al.Optimizing Low Frequency Electromagnetic Parameters by Controlling the Distribution of Boron in FeSiAl Alloy[J]. Journal of Magnetism and Magnetic Materials, 2022, 558: 169535.
[13] LI Q F, ZHANG X, CHEN Z H, et al.Improving Interfacial Magnetoelastic Effect and Complex Permeability of FeSiAl Alloy Powders for Broadband Decimeter-Wave Absorption via Cr Doping[J]. Journal of Alloys and Compounds, 2024, 1002: 175248.
[14] HONO K, PING D H, OHNUMA M, et al.Cu Clustering and Si Partitioning in the Early Crystallization Stage of an Fe_73.5Si_13.5B₉Nb₃Cu1 Amorphous Alloy[J]. Acta Materialia, 1999, 47(3): 997-1006.
[15] RAVEL B, NEWVILLE M.ATHENA, ARTEMIS, HEPHAESTUS: Data Analysis for X-Ray Absorption Spectroscopy usingIFEFFIT[J]. Journal of Synchrotron Radiation, 2005, 12(4): 537-541.
[16] ZABINSKY S I, REHR J J, ANKUDINOV A, et al.Multiple-Scattering Calculations of X-Ray-Absorption Spectra[J]. Physical Review B, 1995, 52(4): 2995-3009.
[17] TOBY B H, VON DREELE R B. GSAS-II: The Genesis of a Modern Open-Source all Purpose Crystallography Software Package[J]. Journal of Applied Crystallography, 2013, 46(2): 544-549.
[18] ZHANG S F, ZHANG S S.Generalization of the Landau-Lifshitz-Gilbert Equation for Conducting Ferromagnets[J]. Physical Review Letters, 2009, 102(8): 086601.
[19] HAN L L, ZHU S Y, RAO Z Y, et al.Multifunctional High-Entropy Materials[J]. Nature Reviews Materials, 2024, 9(12): 846-865.
[20] QIAN K, SOKOLOV A S, LI Q F, et al.High-Performance Metallic Amorphous Magnetic Flake-Based Magnetodielectric Inductors[J]. IEEE Magnetics Letters, 2020, 11: 7101405.
[21] ZHAO B, YAN Z K, LI D P, et al.Hierarchical Flower-Like Sulfides with Increased Entropy for Electromagnetic Wave Absorption[J]. ACS Applied Materials & Interfaces, 2023, 15(51): 59618-59629.
[22] KAPOOR M, ISHEIM D, GHOSH G, et al.Aging Characteristics and Mechanical Properties of 1600MPa Body-Centered Cubic Cu and B2-NiAl Precipitation-Strengthened Ferritic Steel[J]. Acta Materialia, 2014, 73: 56-74.
[23] WEN Y R, HIRATA A, ZHANG Z W, et al.Microstructure Characterization of Cu-Rich Nanoprecipitates in a Fe-2.5 Cu-1.5 Mn-4.0 Ni-1.0 Al Multicomponent Ferritic Alloy[J]. Acta Materialia, 2013, 61(6): 2133-2147.
[24] LIN P Z, REN X G, LIU X H, et al.Ab Initio Electronic Structure Calculations Based on Numerical Atomic Orbitals: Basic Fomalisms and Recent Progresses[J]. WIREs Computational Molecular Science, 2024, 14(1): e1687.
[25] LI P F, LIU X H, CHEN M H, et al.Large-Scale Ab Initio Simulations Based on Systematically Improvable Atomic Basis[J]. Computational Materials Science, 2016, 112: 503-517.
[26] WEINDLER T, BAUER H G, ISLINGER R, et al.Magnetic Damping: Domain Wall Dynamics versus Local Ferromagnetic Resonance[J]. Physical Review Letters, 2014, 113(23): 237204.
[27] WU L Z, DING J, JIANG H B, et al.High Frequency Complex Permeability of Iron Particles in a Nonmagnetic Matrix[J]. Journal of Applied Physics, 2006, 99(8): 083905.
[28] CHEN G, HUI S C, ZHANG L M, et al.Ultrasonic-Stoichiometric Dual Regulation of Antisite Defects for Enhanced Electromagnetic Wave Absorption[J]. Advanced Functional Materials, 2026, 36(31): e19636.
[29] ZHAO W Y, WEN J M, HUI S C, et al.GLPD-Assisted Construction of Porous, Nano-Worm-Like Dielectric-Magnetic Heterointerfaces for Electromagnetic Absorption[J]. Cell Press Blue, 2026, 1(2): 100030.