1998
DOI: 10.1016/s0304-8853(97)00987-6
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The effect of coherent uniaxial anisotropies on the grain-size dependence of coercivity in nanocrystalline soft magnetic alloys

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Cited by 132 publications
(55 citation statements)
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“…For similar crystalline volume fractions the coercivity ratio between both alloys is H c (Cu free)/H c (Cu) < 5. This value cannot be apparently justified if we assume a potential dependence of coercivity with the grain size (a D 6 law [16] would give ratios of ∼4096 and a D 3 law [26] ratios of ∼64). Hernando et al [17] described the behaviour of magnetic anisotropy (k ef f ) as a function of the crystalline fraction (x) as where 0 < γ < 1 is the ability of the matrix to transmit the exchange coupling between the nanocrystals, dependent on x, λ S is the saturation magnetostriction constant, σ is the internal stress and k 0 is the average magnetocrystalline anisotropy, which is related to the grain diameter (D) by…”
Section: Cu Effect On the Magnetic Propertiesmentioning
confidence: 98%
“…For similar crystalline volume fractions the coercivity ratio between both alloys is H c (Cu free)/H c (Cu) < 5. This value cannot be apparently justified if we assume a potential dependence of coercivity with the grain size (a D 6 law [16] would give ratios of ∼4096 and a D 3 law [26] ratios of ∼64). Hernando et al [17] described the behaviour of magnetic anisotropy (k ef f ) as a function of the crystalline fraction (x) as where 0 < γ < 1 is the ability of the matrix to transmit the exchange coupling between the nanocrystals, dependent on x, λ S is the saturation magnetostriction constant, σ is the internal stress and k 0 is the average magnetocrystalline anisotropy, which is related to the grain diameter (D) by…”
Section: Cu Effect On the Magnetic Propertiesmentioning
confidence: 98%
“…Deviation from the Herzer's D 6 law is also reported for the alloys such as Fe-Zr-B-(Cu) and Fe-P-C-Ge-Si-Cu. 24 The deviation is ascribed to the effect of induced anisotropies such as shape, magnetoelastic, and magnetic field induced anisotropies. In the simplest case of the presence of uniaxial anisotropy (K u ), the variation in average anisotropy follows D 3 law.…”
Section: -9mentioning
confidence: 99%
“…It is reported that the nanocrystalline alloys following D 3 law show significantly lower M r /M s (∼0.45) ratio than the D 6 law (∼0.95). 24 Separate investigations are required to understand the trend in the variation of anisotropy with D in the case of Fe-Si-B-P-Cu system. At present, we believe, the major difference in magnetic properties of sintered cores and the ribbons can originate from the shape, and orientation of powder particles in the sintered cores.…”
Section: -9mentioning
confidence: 99%
“…Therefore it is critical to achieve excellent soft magnetic properties by enhancing a-Fe amorphous dual phase structure formed in the primary crystallization and strictly prohibiting the precipitation of Fe-B(Zr) phase. Furthermore Suzuki et al [11] found that the coercivity (H c ) sharply increased with the growth of a-Fe grain and built up a dependence of the cubic grain size (d 3 ) on H c . As such, precise control of the a-Fe phase precipitation during the primary crystallization is important to optimize the soft magnetic properties in the Fe-based alloys.…”
Section: Introductionmentioning
confidence: 99%