Dushyant Singh , Shivesh Yadav , Krista R. Khiangte
{"title":"Viable scaling mechanism ensuing anomalous Hall effect in Si/Ni multilayers from 2 K-300 K","authors":"Dushyant Singh , Shivesh Yadav , Krista R. Khiangte","doi":"10.1016/j.jmmm.2025.173222","DOIUrl":"10.1016/j.jmmm.2025.173222","url":null,"abstract":"<div><div>A systematic study of the scaling mechanisms driving the anomalous Hall effect (AHE) in Si/Ni multilayers was conducted from 2 K to 300 K on <span><math><msub><mrow><mo>[</mo><mi>S</mi><mi>i</mi><mrow><mo>(</mo><mn>40</mn><mi>Å</mi><mo>)</mo></mrow><mo>/</mo><mi>N</mi><mi>i</mi><mrow><mo>(</mo><msub><mi>t</mi><mrow><mi>N</mi><mi>i</mi></mrow></msub><mi>Å</mi><mo>)</mo></mrow><mo>]</mo></mrow><mn>20</mn></msub></math></span> multilayers. Structural analysis revealed polycrystalline Ni layers and amorphous Si layers. As <span><math><msub><mi>t</mi><mrow><mi>N</mi><mi>i</mi></mrow></msub></math></span> decreased, Ni nanocrystallite size reduced, while the surface-to-volume ratio and Si/Ni interface roughness increased. Multilayers with <span><math><mrow><msub><mi>t</mi><mrow><mi>N</mi><mi>i</mi></mrow></msub><mo>≥</mo><mn>40</mn><mi>Å</mi></mrow></math></span> exhibited ferromagnetic behavior, while those with <span><math><mrow><msub><mi>t</mi><mrow><mi>N</mi><mi>i</mi></mrow></msub><mo><</mo><mn>40</mn><mi>Å</mi></mrow></math></span> were superparamagnetic. Decreasing <span><math><msub><mi>t</mi><mrow><mi>N</mi><mi>i</mi></mrow></msub></math></span> also increased longitudinal resistivity due to enhanced interface roughness, higher surface-to-volume ratio, and increased tunneling between Ni nanocrystallites. AHE studies showed that Hall resistance peaked with decreasing <span><math><msub><mi>t</mi><mrow><mi>N</mi><mi>i</mi></mrow></msub></math></span> but declined for <span><math><mrow><msub><mi>t</mi><mrow><mi>N</mi><mi>i</mi></mrow></msub><mo><</mo><mn>40</mn><mi>Å</mi></mrow></math></span>, due to superparamagnetism. Skew scattering dominated Hall resistance enhancement at all temperatures, but as the temperature increased from 2 K to 300 K, a transition from skew scattering to the side-jump mechanism was observed.</div></div>","PeriodicalId":366,"journal":{"name":"Journal of Magnetism and Magnetic Materials","volume":"629 ","pages":"Article 173222"},"PeriodicalIF":2.5,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144178806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Qiang Zhai , Fan Bu , Yuhao Cheng , Jiaqi Zhang , Yixuan He
{"title":"A strategy for improving inherent brittleness without significantly sacrificing the magnetocaloric effect in a Ni-Mn-Sn Heusler alloy","authors":"Qiang Zhai , Fan Bu , Yuhao Cheng , Jiaqi Zhang , Yixuan He","doi":"10.1016/j.jmmm.2025.173246","DOIUrl":"10.1016/j.jmmm.2025.173246","url":null,"abstract":"<div><div>The eutectic design, a prevalent strategy for enhancing mechanical properties, aims to address the poor workability caused by the high brittleness of L2<sub>1</sub> intermetallic phase in Ni-Mn-Sn Heusler alloy as a promising material for solid-state refrigeration. In this study, a eutectic composition of Ni<sub>48</sub>Co<sub>10</sub>Mn<sub>32</sub>Sn<sub>10</sub> with a fully L2<sub>1</sub>/γ lamellar structure significantly improves mechanical properties, reaching 1950 MPa fracture strength and 20.5 % ductility. However, the desired magnetocaloric effect (MCE) is completely inhibited due to a strong Kurdyumov and Sachs orientation relationship (K-S OR) between eutectic phases. To overcome these challenges, a solution to precipitate primary L2<sub>1</sub> phase is proposed. This approach breaks the K-S OR by promoting epitaxial growth of the L2<sub>1</sub> eutectic phase on the primary L2<sub>1</sub> phase. Consequently, the hypoeutectic Ni<sub>48</sub>Co<sub>8</sub>Mn<sub>34</sub>Sn<sub>10</sub> composition achieves an excellent balance between MCE and mechanical properties, with a maximum magnetic entropy change of 10.13 J kg<sup>−1</sup> K<sup>−1</sup> under 5 T magnetic field, 1894 MPa fracture strength, and 18.4 % ductility. Our strategy overcomes inherent brittleness without significantly sacrificing the magnetocaloric effect within Ni-Mn-Sn alloys. This study is pivotal for optimizing the structural design and properties of Ni-Mn based Heusler alloys.</div></div>","PeriodicalId":366,"journal":{"name":"Journal of Magnetism and Magnetic Materials","volume":"629 ","pages":"Article 173246"},"PeriodicalIF":2.5,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144168352","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Classification of magnetic behavior in annealed rapid-quenched (Sm0.8Zr0.2)1.1(Fe0.9Co0.1)11.3Ti0.7 magnet powders using the stepwise measurement of the remanent magnetization","authors":"K. Kobayashi, T. Kuno, H. Fujiwara","doi":"10.1016/j.jmmm.2025.173242","DOIUrl":"10.1016/j.jmmm.2025.173242","url":null,"abstract":"<div><div>(Sm<sub>0.8</sub>Zr<sub>0.2</sub>)<sub>1.1</sub>(Fe<sub>0.9</sub>Co<sub>0.1</sub>)<sub>11.3</sub>Ti<sub>0.7</sub> amorphous starting compound was annealed at typical temperatures of 750, 850, and 950 °C for 30 min. The obtained samples were magnetically isotropic. The highest coercivity (<em>H</em><sub>c</sub>) of 413 kA/m was found in the 850 °C/30 min sample, in which <em>J</em><sub>s</sub> = 1.43 T and <em>H</em><sub>a</sub> = 5.93 MA/m, whereas that in the 950 °C/30 min sample, in which <em>J</em><sub>s</sub> = 1.47 T and <em>H</em><sub>a</sub> = 9.21 MA/m, <em>H</em><sub>c</sub> was 246 kA/m. The obvious character of the latter sample was a multi-domain structure (MDS) in a thermally demagnetized state as observed by magneto-force microscopy, whereas a single-domain like structure (SDLS) was observed in the former and in the 750 °C/30 min (<em>H</em><sub>a</sub> = 4.41 MA/m and <em>H</em><sub>c</sub> = 216 kA/m) samples. Since we hypothesized that lower <em>H</em><sub>c</sub> in the higher <em>H</em><sub>a</sub> 950 °C/30 min sample originated from domain wall motion in the MDS, we attempted to determine the volume fraction of the MDS region in the sample. Using the modified step method for magnetically isotropic samples, we detected about 50 vol% of the MDS region in the 950 °C/30 min sample, compared with about 20 vol% in the other two samples.</div></div>","PeriodicalId":366,"journal":{"name":"Journal of Magnetism and Magnetic Materials","volume":"629 ","pages":"Article 173242"},"PeriodicalIF":2.5,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144220855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The effect of Ni2+ substitution by Mn2+ on the initial magnetic permeability and curie temperature in solid solutions of Mn1-xNixFe2O4","authors":"N.A. Cherkasova , V.E. Zhivulin , D.S. Afanasyev , G.M. Zirnik , D.A. Uchaev , S.A. Gudkova , D.A. Vinnik","doi":"10.1016/j.jmmm.2025.173223","DOIUrl":"10.1016/j.jmmm.2025.173223","url":null,"abstract":"<div><div>The paper presents the results of a study of ceramic samples Mn<sub>1-x</sub>Ni<sub>x</sub>Fe<sub>2</sub>O<sub>4</sub>, obtained by solid state sintering at 1200 °C with subsequent quenching. The temperature dependence of the real and imaginary parts of magnetic permeability was measured. It has been shown that nickel substitution result in an increase of a Curie temperature. The temperature dependence of the magnetic permeability and heat capacity was compared. Two exothermic peaks were found on the temperature dependence of heat capacity. It is shown that one of the peaks corresponds to a magnetic phase transition. Based on high-temperature X-ray diffraction data, it has been suggested that the second peak correspond to the rearrangement of the ferrite crystal lattice.</div></div>","PeriodicalId":366,"journal":{"name":"Journal of Magnetism and Magnetic Materials","volume":"629 ","pages":"Article 173223"},"PeriodicalIF":2.5,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144194568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zhen Yan , Naikun Sun , Xinguo Zhao , Haoyu Wang , Bing Li , Juan Cheng , Jiaohong Huang , Fuchun Chang , Yingwei Song
{"title":"Novel graphite-coated La(Fe, Si)13Hy plates for magnetocaloric cooling","authors":"Zhen Yan , Naikun Sun , Xinguo Zhao , Haoyu Wang , Bing Li , Juan Cheng , Jiaohong Huang , Fuchun Chang , Yingwei Song","doi":"10.1016/j.jmmm.2025.173219","DOIUrl":"10.1016/j.jmmm.2025.173219","url":null,"abstract":"<div><div>La(Fe, Si)<sub>13</sub> hydrides suffer from intrinsically poor mechanical, anti-corrosive and thermally conductive properties, which impede their implementation as efficient regenerators. The current improvement strategies are faced with difficult trade-offs among these properties. In this work, we developed a facile chemical vapor deposition (CVD) method for low-temperature in-situ deposition of a thin graphitic layer of ∼ 200 nm on La<sub>0.8</sub>Ce<sub>0.2</sub>Fe<sub>x</sub>Mn<sub>0.215</sub>Si<sub>1.3</sub> plates of 0.5–1 mm thickness by evaporating polyethylene glycol (PEG) polymer as a solid carbon source. These plates could be machined directly from their casting ingot due to the mechanical property enhancement from ∼ 3–6 wt% α-Fe. Favorably, these graphite-coated plates could be successfully fully hydrogenated at atmospheric pressure for room-temperature application. The ∼ 0.03 wt% graphite coating could endow the composites with striking anti-corrosive properties with the sum of the film resistance and the charge transfer resistance increasing from 105 (for the graphite-free hydride) to 11298 Ω·cm<sup>2</sup> by more than two orders of magnitude. Moreover, these graphite composites exhibit large room-temperature magnetic entropy change Δ<em>S</em><sub>M</sub> of 8.7 J/kg•K in 0–1.5 T and high thermal conductivity λ of 7.9–8.6 W/Km compared with the corresponding values of 3.5 J/kg•K and 9.5 W/Km for the prototype room-temperature magnetocaloric material Gd. The intriguing functionality of the graphite coating may advance the practical application of La(Fe, Si)<sub>13</sub>-based materials.</div></div>","PeriodicalId":366,"journal":{"name":"Journal of Magnetism and Magnetic Materials","volume":"628 ","pages":"Article 173219"},"PeriodicalIF":2.5,"publicationDate":"2025-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144131761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical simulation of nonequilibrium critical behavior of the weakly disordered three-spin-state Potts model","authors":"Borodikhin V.N.","doi":"10.1016/j.jmmm.2025.173174","DOIUrl":"10.1016/j.jmmm.2025.173174","url":null,"abstract":"<div><div>The behavior of a weakly disordered three-dimensional Potts model with the number of spin states q = 3 was studied and a spin concentration of 0.95 for the first time using the short-time dynamics method. The critical temperature value has been refined. The dynamic index <span><math><mi>z</mi></math></span> and the critical index <span><math><mi>ν</mi></math></span> have been calculated taking into account corrections to scaling. It is shown that at a given low concentration of impurities in the system, a second-order phase transition is realized, in contrast to the homogeneous Potts model.</div></div>","PeriodicalId":366,"journal":{"name":"Journal of Magnetism and Magnetic Materials","volume":"628 ","pages":"Article 173174"},"PeriodicalIF":2.5,"publicationDate":"2025-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144131760","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Co2+ doped zinc manganese ferrite nanoparticles for magnetic induction hyperthermia","authors":"Suwanan Thammarong , Xiaogang Yu , Peinan Yin , Renpeng Yang , Wei Zhang","doi":"10.1016/j.jmmm.2025.173216","DOIUrl":"10.1016/j.jmmm.2025.173216","url":null,"abstract":"<div><div>Cobalt-zinc-manganese ferrite nanoparticles with the composition CoxZn<sub>0.8-x</sub>Mn<sub>0.2</sub>Fe<sub>2</sub>O<sub>4</sub> (0 ≤ x ≤ 0.5) were prepared by the co-precipitation method. The elemental composition, crystal structure, particle size, and magnetic properties were investigated using ICP, XRD, FTIR, TEM, and VSM techniques. The synthesized nanoparticles were subjected to magnetic induction heating measurements to evaluate potential for magnetic induction hyperthermia. The temperature of the Co<sub>0.2</sub>Zn<sub>0.6</sub>Mn<sub>0.2</sub>Fe<sub>2</sub>O<sub>4</sub> nanoparticle suspension stabilized at 42.9 °C under the applied alternating magnetic field. The cytotoxicity essay analyses indicate the good biocompatibility of the nanoparticles, exhibiting a good candidate for conventional hyperthermia.</div></div>","PeriodicalId":366,"journal":{"name":"Journal of Magnetism and Magnetic Materials","volume":"628 ","pages":"Article 173216"},"PeriodicalIF":2.5,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144123983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Matthew J. Brandsema , Christos Argyropoulos , Justin Reiss , Nicolas Tobin , Leslie Ross , Douglas E. Wolfe , Sven G. Bilén , David M. Jenkins , Sean Dowhy
{"title":"Effects of advanced magnetic materials in the DC and AC performance of inductors and transformers","authors":"Matthew J. Brandsema , Christos Argyropoulos , Justin Reiss , Nicolas Tobin , Leslie Ross , Douglas E. Wolfe , Sven G. Bilén , David M. Jenkins , Sean Dowhy","doi":"10.1016/j.jmmm.2025.173161","DOIUrl":"10.1016/j.jmmm.2025.173161","url":null,"abstract":"<div><div>Two main components of power conversion equipment (PCE) are inductors and transformers. PCE have a plethora of applications, but their size, weight, and cost reduction are challenging problems that need precise engineering attention to be resolved, and can be specific for each application. Hence, increased power density, magnetic performance, and thermal margin during PCE operation is of critical importance to the ever-present need to make these components smaller and more efficient. This can occur by incorporating new advanced magnetic (AdvMag) materials in their designs that will improve the PCE performance compared to the currently used magnetic materials consisting primarily of laminated electrical steels. Our current work is dedicated to a comprehensive comparison of these different new advanced magnetics materials and how they can be used to improve both DC (low frequency) and AC performance of inductors and transformers, leading to much more efficient PCE devices. We analyze the effects of these emerging materials both theoretically and by using full-wave simulations. We conclude that amorphous alloys and new light-weight nanocrystalline magnetic materials can serve as suitable substitutes of steel in laminated transformer designs. In addition, ferrites can also improve inductor and transformer operation as they possess excellent thermal properties, reduced weight, and low loss. Our results will be useful to power engineers working on new and improved PCE devices with smaller size, lighter weight, higher power density, and increased operational frequency.</div></div>","PeriodicalId":366,"journal":{"name":"Journal of Magnetism and Magnetic Materials","volume":"629 ","pages":"Article 173161"},"PeriodicalIF":2.5,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144168353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Sintering Mediated microstructure engineering of magnetic CoFe2O4 to analyze experimental and theoretical aspects","authors":"Probal Roy , Sumi Akter , Hossain Hridoy , S.I. Liba , Armin Anwar","doi":"10.1016/j.jmmm.2025.173211","DOIUrl":"10.1016/j.jmmm.2025.173211","url":null,"abstract":"<div><div>The integration of theoretical and experimental approaches on ferrites enables a highly accurate investigation of the dimensional, structural, and magnetic characteristics of ferrites. In this study, CoFe<sub>2</sub>O<sub>4</sub> (CFO) was synthesized using the solid-state method, and its structural, morphological, elastic, and magnetic properties were examined at sintering temperatures of 1000 °C, 1100 °C, and 1200 °C. XRD analysis confirmed that the synthesized ferrite crystallized in a single-phase cubic spinel structure with an Fd-3 m space group. Rietveld analysis was utilized to extract information on the lattice constant, internal strain, and cation distances. Scanning electron microscopy (SEM) revealed the morphology of the samples, with grain sizes measured using ImageJ software showing a temperature-dependent increase from 0.5 to 2.98 μ m. The FTIR spectra of the CFO revealed characteristic vibrational bands associated with spinel ferrite functional groups, with distinct bands observed at approximately 475 cm<sup>−1</sup> and 590 cm<sup>−1</sup>, confirming the formation of the spinel ferrite structure. Vibrational bands corresponding to tetrahedral and octahedral positions in the FTIR spectra were used for calculating the elastic constants and Debye temperature. Magnetic measurements on CFO revealed that the saturation magnetization increases from 79 emu/g to 106 emu/g upon sintering. This increase is attributed to the enhancement of bond angles θ<sub>1</sub> and θ<sub>2</sub>, which strengthens the super-exchange interactions between the A and B sites. The real part of magnetic permeability (μ’) of CFO remains stable up to 100 MHz, marking its utility zone, and then gradually decreases at higher frequencies due to relaxation and resonance effects, indicating strong magnetic performance. DFT calculations using CASTEP revealed that the distribution of magnetic cations between tetrahedral and octahedral sites plays a critical role in determining the electronic structure, bandgap energy, and magnetic moment of the CFO. The electronic band structure, TDOS, and PDOS reveals that CoFe<sub>2</sub>O<sub>4</sub> bulk material possesses a direct band gap of 0.63 eV in the spin-down channel and an indirect band gap of 1.08 eV in the spin-up channel. The semiconducting nature of cobalt ferrite is confirmed by the zero value of TDOS at the Fermi level for both spin-up and spin-down states. The pronounced hybridization of Fe-3d orbitals in the spin-down conduction band indicates a higher density of localized states, promoting electron hopping and aiding polarization relaxation. Additionally, the coexistence of covalent and ionic bonds in Fe-O and Co-O enhances dipole polarization, playing a key role in the dielectric loss mechanism essential for effective microwave absorption. Theoretical and experimental magnetic properties show excellent agreement, making these materials ideal for electromagnetic shielding, switching mechanisms, and micr","PeriodicalId":366,"journal":{"name":"Journal of Magnetism and Magnetic Materials","volume":"628 ","pages":"Article 173211"},"PeriodicalIF":2.5,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144124093","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yihan Wang , Ziqian Lu , Yuanyuan Gong , He Wang , Fenghua Chen
{"title":"Magnetic properties and critical behaviors in medium-entropy FeCoNiCrx alloys: Exploring the relationship between configurational entropy and critical exponents","authors":"Yihan Wang , Ziqian Lu , Yuanyuan Gong , He Wang , Fenghua Chen","doi":"10.1016/j.jmmm.2025.173155","DOIUrl":"10.1016/j.jmmm.2025.173155","url":null,"abstract":"<div><div>Accompanied by the discovery of multi-component alloys, investigations on their magnetic properties have been gradually emerging in recent decades. In the research field of these alloys, a key scientific question remains unanswered: what is the relationship between high configurational entropy and intrinsic magnetic interaction? To shed light on this question, we conducted an analysis of critical exponents near the transition from ferromagnetic to paramagnetic states in medium-entropy FeCoNiCr<em><sub>x</sub></em> system. Our findings confirmed that the exponent <em>γ</em> of FeCoNiCr<em><sub>x</sub></em> system is similar to that of the 3D Heisenberg model, while <em>β</em> is significantly higher than classical models. With the increase of <em>x</em> ,<em>β</em> gradually increases from 0.699 ± 0.022 for <em>x</em> = 0.4 to 0.868 ± 0.023 (0.832 ± 0.033) for <em>x</em> = 0.8 (<em>x</em> = 1). It indicates that the elevated <em>β</em> value in FeCoNiCr<em><sub>x</sub></em> solid solution should be attributed to atomic disorder, which is mathematically reflected by configurational entropy. Our results suggest that high <em>β</em> may be a common feature of high-entropy solid solutions with random atomic occupation.</div></div>","PeriodicalId":366,"journal":{"name":"Journal of Magnetism and Magnetic Materials","volume":"628 ","pages":"Article 173155"},"PeriodicalIF":2.5,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144134391","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}