Open Access Article
Wenbing Fan,
Bang Zhou,
Jiayi He,
Xuefeng Liao,
Yaxiang Wu,
Hongya Yu,
Jiangxiong Wei and
Zhongwu Liu
*
School of Materials Science and Engineering, South China University of Technology, Guangzhou 510640, China. E-mail: zwliu@scut.edu.cn
First published on 27th February 2023
To inhibit the magnetic dilution effect of Ce in Nd–Ce–Fe–B magnets, a dual-alloy method is employed to prepare hot-deformed dual-main-phase (DMP) magnets using mixed nanocrystalline Nd–Fe–B and Ce–Fe–B powders. A REFe2 (1
:
2, where RE is a rare earth element) phase can only be detected when the Ce–Fe–B content exceeds 30 wt%. The lattice parameters of the RE2Fe14B (2
:
14
:
1) phase exhibit non-linear variation with the increasing Ce–Fe–B content due to the mixed valence states of Ce ions. Owning to inferior intrinsic properties of Ce2Fe14B compared to Nd2Fe14B, the magnetic properties of DMP Nd–Ce–Fe–B magnets almost decrease with the increase of Ce–Fe–B addition, but interestingly, the magnet with 10 wt% Ce–Fe–B addition exhibits an abnormally increased intrinsic coercivity Hcj of 1215 kA m−1, together with the higher temperature coefficients of remanence (α = −0.110%/K) and coercivity (β = −0.544%/K) in the temperature range of 300–400 K than the single-main-phase (SMP) Nd–Fe–B magnet with Hcj = 1158 kA m−1, α = −0.117%/K and β = −0.570%/K. The reason may be partly attributed to the increase of Ce3+ ions. Different from the Nd–Fe–B powders, the Ce–Fe–B powders in the magnet are difficult to deform into a platelet-like shape because of the lack of low melting point RE-rich phase due to the precipitation of the 1
:
2 phase. The inter-diffusion behavior between the Nd-rich region and Ce-rich region in the DMP magnets has been investigated by microstructure analysis. The significant diffusion of Nd and Ce into Ce-rich and Nd-rich grain boundary phases, respectively, was demonstrated. At the same time, Ce prefers to stay in the surface layer of Nd-based 2
:
14
:
1 grains, but less Nd diffuses into Ce-based 2
:
14
:
1 grains due to the 1
:
2 phase presented in the Ce-rich region. The modification of the Ce-rich grain boundary phase by Nd diffusion and the distribution of Nd in the Ce-rich 2
:
14
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1 phase are beneficial for magnetic properties.
The recent research on Nd–Ce–Fe–B alloys has been based on melt-spun ribbons,12,13 sintered magnets,14,15 and hot-deformed magnets.16–18 It is reported that, with the Ce substitution of less than 10 at%, the good squareness of hysteresis loop and strong intergranular exchange coupling could be remained for melt spun Nd12−xCexFe82B6 alloys.13 Pathak et al.19 found an abnormally increased intrinsic coercivity (Hcj) in the (Nd1−xCex)2Fe14B ribbons with 20 at% Ce substitution for Nd, and the similar result has been reported by others.20 Hussain et al.12 optimized the high temperature magnetic properties of nanocrystalline (Nd0.8Ce0.2)10Fe84B6 alloys and found that the Hcj of 226 kA m−1 could be obtained at 400 K. For the conventional sintered magnets, great achievements have been obtained in Ce doped Nd–Fe–B magnets. The maximum energy product (BH)max of 224 kJ m−3 was successfully achieved with 40 wt% Ce substitution for other rare earths.21 To further improve the magnetic properties of Ce-containing sintered magnets, dual-alloy method based on chemical heterogeneity between two main phases has been employed to prepared dual-main-phase (DMP) magnets. By this approach, the magnetic dilution effect of Ce addition can be effectively inhibited.14 On the one hand, the special chemical heterogeneity formed by the inter-diffusion of REs between Nd-rich regions and Ce-rich regions in DMP magnet is beneficial to magnetic properties. The inhomogeneous RE distribution in 2
:
14
:
1 main phase grains not only facilitates the short-range exchange coupling between edge and center of the grain, but also promotes the long-range magnetostatic interaction between the grains.9 On the other hand, the modification of grain boundary phase is also beneficial to the hard magnetic properties.22 Zhu et al.14 obtained a (BH)max over 342 kJ m−3 in the DMP sintered (Nd1−xCex)30(Fe,TM)balB1 magnet with x = 0.3. The magnet also exhibited improved demagnetization curve squareness. The Hcj of 963 kA m−1 for DMP (PrNd0.8Ce0.2)31(Fe,TM)68B1 magnet, higher than 613 kA m−1 for single-main-phase (SMP) magnet with the same nominal composition, was also reported by Zhu et al.23 Jin et al.9,24 found the Hcj of 1035 kA m−1 and (BH)max of 328 kJ m−3 for DMP magnet with 18 wt% La–Ce, which are even higher than those of SMP magnet with 9 wt% La–Ce.
As we know, the nanocrystalline magnets prepared by hot deformation technique has great potential to achieve higher Hcj than sintered magnets due to its smaller grain size.16 Therefore, hot-deformation is also a good approach for fabricate high coercivity Ce-containing magnets. However, the investigations on the hot-deformed Nd–Ce–Fe–B magnets prepared by dual-alloy method are rare so far. The element distribution characteristics and elevated temperature behavior of Ce-containing DMP magnets are still not clear. In this work, the hot-deformed DMP Nd–Ce–Fe–B magnets were prepared by dual-alloy method. Their microstructure and its effects on the magnetic properties have been investigated. In particular, the chemical heterogeneity resulted from the inter-diffusion between Nd-rich and Ce-rich alloys during hot working is studied in detail.
The phase constitutions of the hot deformed magnets were characterized by X-ray diffractometer (XRD, X′ Pert Pro, PANalytical, Netherlands) with Cu-Kα radiation, from 2θ = 20 to 70° with a step size of 0.01° and 4 s per step. All the XRD spectra were recorded in powder form. Phase analysis was performed using the Rietveld refinement with Maud software. The microstructure was investigated by transmission electron microscope (TEM, FEI Talos F200, USA). The magnetic properties were obtained by a 5 T vibrating sample magnetometer (VSM) in the physical property measurement system (PPMS-9, Quantum Design, USA). The magnetization-temperature (M–T) curves of the samples were measured using the zero-field-cooling process under a magnetic field of 1000 Oe in the temperature range of 300–700 K.
:
14
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1) phase, indicating that the 2
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14
:
1 phase with tetragonal structure (space group P42/mnm) has been formed in all magnets. No XRD peak for REFe2 (1
:
2) phase is observed in the magnet with x = 0–30 wt%. As the Ce–Fe–B content increases to 40 wt%, the 1
:
2 phase with cubic structure (space group Fd
m) can be detected. With increasing x to 50 wt%, the peaks of 1
:
2 phase become more significant. Meanwhile, the intensities of (00l) diffraction peaks, such as (004), (006), and (008), for 2
:
14
:
1 phase also decrease, indicating reduced c-axis crystallographic alignment of the magnets with high Ce–Fe–B addition. The content and lattice parameters of 2
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14
:
1 and 1
:
2 phases calculated from the Rietveld refinement are presented in Table 1. The traces of metallic-RE and RE2O3 phase in samples are not included in the analysis. The parameters a and c of 2
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14
:
1 phase for Nd–Fe–B (x = 0) and Ce–Fe–B (x = 100 wt%) are 8.805 Å, 12.181 Å and 8.743 Å, 12.072 Å, respectively, due to so-called lanthanide contraction effect. However, Table 1 shows that a and c of 2
:
14
:
1 phase increase with increasing Ce–Fe–B content when x value exceeds 20 wt%, indicating the increased lattice volume. The variation of the lattice parameters of the 2
:
14
:
1 phase can be well indicated by the shift of diffraction peaks in Fig. 1(b). Unlike Nd3+ with a stable valence in Nd2Fe14B, Ce is believed to have a mixed valence of +3.44 due to the coexistence of trivalent 4f1 and tetravalent 4f0 electronic states in Ce2Fe14B.25 It is well established that the Ce valence is highly related to its steric environment. As Ce3+ ion has a considerably larger radius than Ce4+ ion, the appearance of Ce valence with 3 state (carrying one 4f electron) is expected to cause the abnormal lattice expansion of 2
:
14
:
1 phase.26 Hence, the reason for the lattice expansion of 2
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14
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1 phase in the samples with Ce–Fe–B contents over 20 wt% may be attributed to the appearance of Ce3+ ion, and similar phenomenon has been reported previously.26 In addition, when the Ce–Fe–B content increases from 40 wt% to 50 wt%, the mass fraction of 1
:
2 phase increases from 1.9 wt% to 2.9 wt%, accounting for 11.6% and 17.7% 1
:
2 phase in Ce–Fe–B magnet (16.4 wt%). It is suggested that the 1
:
2 phase is difficult to be completely inhibited in DMP Nd–Ce–Fe–B magnets.
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| Fig. 1 XRD patterns for the hot-deformed Nd–Ce–Fe–B magnets (a) and the enlarged XRD patterns in the range of 37.8–39.0° (b) with various Ce–Fe–B contents (x = 0–100 wt%). | ||
| Ce–Fe–B content x (wt%) | Mass fraction (wt%) | Lattice parameters (Å) | ||||
|---|---|---|---|---|---|---|
| RE2Fe14B | REFe2 | RE2Fe14B | REFe2 | |||
| a | c | c/a | a | |||
| 0 | 100 | — | 8.805 | 12.181 | 1.383 | — |
| 10 | 100 | — | 8.802 | 12.180 | 1.384 | — |
| 20 | 100 | — | 8.795 | 12.174 | 1.384 | — |
| 30 | 100 | — | 8.796 | 12.177 | 1.384 | — |
| 40 | 98.1 | 1.9 | 8.798 | 12.179 | 1.384 | 7.313 |
| 50 | 97.1 | 2.9 | 8.801 | 12.180 | 1.384 | 7.320 |
| 100 | 83.6 | 16.4 | 8.743 | 12.072 | 1.381 | 7.309 |
:
14
:
1 phase lattice leads to larger lattice misfit and defects which enhances the pinning effect.28 Yan et al.29 also found the abnormal increase of Hcj in sintered [(Pr,Nd)1−xCex]27.5Dy3Al0.1Cu0.1Febal.B1 magnet when x = 0.24. They suggested that the higher volume fraction of grain boundary layers, due to the increase of 1
:
2 phase, contribute to the enhanced coercivity. However, in this work, the melting point of 1
:
2 phase (∼925 °C) is much higher than that of hot deformation temperature (∼700 °C). Thus, a certain amount of 1
:
2 phase with high melting point is not beneficial to the increased coercivity in hot-deformed magnets due to the lack of wettability for smoothing the grain boundaries. It is suggested by Jin et al. that the chemical heterogeneity among various 2
:
14
:
1 phases caused by dual-alloy method may contribute to the excellent magnetic properties.9 The special chemical heterogeneity results from the initial composition gradient between different two alloys. During sintering process, due to the limited inter-diffusion between two alloys, the composition of the main phase grains cannot be homogenized, leading to the chemical fluctuations of RE elements. But on the other hand, the local chemical heterogeneity in one single grain in same regions is also formed due to the high-temperature diffusion.9 The chemical heterogeneity not only facilitates the long-range magnetostatic interaction between the grains, but also promotes the short-range exchange coupling between the core–shell region within an individual grain.22 Therefore, the increase of Ce3+ ions and chemical heterogeneity among 2
:
14
:
1 grains could be responsible for the abnormal increase of Hcj in HDed Nd–Ce–Fe–B magnets. In addition, Fig. 2 shows that, with the addition of Ce–Fe–B, the remanence and maximum energy product decrease monotonously.
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| Fig. 2 The demagnetization curves (a) and magnetic properties (b) for the hot-deformed Nd–Ce–Fe–B magnets with various Ce–Fe–B contents (x = 0–50 wt%). | ||
| Ce–Fe–B(x) (wt%) | Jr (T) | Hcj (kA m−1) | (BH)max (kJ m−3) | J5T (T) | α (%/K) | β (%/K) | ρ (g cm−3) |
|---|---|---|---|---|---|---|---|
| 0 | 1.34 | 1158 | 323 | 1.46 | −0.117 | −0.570 | 7.445 |
| 10 | 1.21 | 1215 | 266 | 1.37 | −0.110 | −0.544 | 7.465 |
| 20 | 1.16 | 1013 | 237 | 1.32 | −0.125 | −0.567 | 7.494 |
| 30 | 1.14 | 758 | 203 | 1.28 | −0.176 | −0.604 | 7.474 |
| 40 | 1.03 | 479 | 121 | 1.20 | −0.326 | −0.589 | 7.510 |
| 50 | 0.94 | 415 | 93 | 1.15 | −0.364 | −0.582 | 7.551 |
| 100 | 0.54 | 121 | 19 | 0.82 | −0.393 | −0.530 | 7.688 |
Fig. 3(a) shows the magnetization–temperature (M–T) curves of various HDed magnets. Two transition temperatures can be observed for DMP samples, which should correspond to the Curie temperatures (Tc) of 2
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4
:
1 main phases with Ce-rich and Nd-rich compositions. The Tc of Nd-rich 2
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14
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1 phase roughly decreases with increasing Ce–Fe–B content, which can be explained by the increasing diffusion of Ce into Nd-rich 2
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14
:
1 phase. In addition, the Tc of Ce-rich 2
:
14
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1 phase for DMP samples (461–475 K) are higher than that of SMP Ce–Fe–B magnet (445 K), which indicates that Nd atoms also diffused into Ce-rich 2
:
14
:
1 phase, since the Tc of Nd2Fe14B (585 K) is higher than that of Ce2Fe14B (424 K). Interestingly, with increasing Ce–Fe–B content from 10 wt% to 50 wt%, the Tc of Ce-rich 2
:
14
:
1 phase has slight fluctuation, which differs from that of Nd-rich main phase. It may indicate that the diffusion of Nd into Ce-rich 2
:
14
:
1 phase is more difficult than that of Ce into Nd-rich 2
:
14
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1 phase. The Nd concentrations in Ce-rich 2
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14
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1 grain have no big difference for the magnets with varied Ce–Fe–B contents.
The thermal stability of the permanent magnet is generally described by the remanence temperature coefficient (α) and coercivity temperature coefficient (β). The α and β in the temperature range T0–T, are defined by eqn (1) and (2).30
![]() | (1) |
![]() | (2) |
:
14
:
1 phase. Fig. 4(e) is the HRTEM image of region III, and the grain boundary region of region IV in Fig. 4(e) shows the fast Fourier transformation (FFT) pattern that is consistent with RE7O12 phase with the zone axis of [5 21 –4]. The hcp structure RE7O12 phase is found in grain boundaries, and the thin grain boundary with several nanometers in width are clearly observed. The thin RE-rich phases which distributed around the 2
:
14
:
1 phase is beneficial to isolating the main phase grains. Fig. 4(f) shows the EDS scanning along line 2 across a grain boundary (GB) in Fig. 4(c). The result shows that the Ce content in RE-rich phase is significantly higher than that of 2
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14
:
1 main phase, indicating that Ce can diffuse through the channel of grain boundary into Nd-rich main phase. With Ce diffusing from Ce–Fe–B grains to Nd–Fe–B grains, Nd also diffuses from Nd–Fe–B grains to Ce–Fe–B grains. It is worth noting that Ce element exhibits different distributions inside the different Nd-rich main phase grains, as shown in Fig. 4(f) for two grains along line 2. From the right side of the Ce concentration curve, more Ce stays in grain surface than in grain center of Nd-rich main phase. This non-uniform Ce distribution within individual Nd-rich grain indicates the chemical heterogeneity of Nd and Ce within the main phase grain, which is caused by the limited diffusion of REs. Different from the gradient Ce distribution in right side grain, the more homogeneous Ce distribution is observed in left side grain, indicating that the chemical heterogeneity of REs also exists among main phase grains. The similar elemental distribution in main phase of DMP Nd–Ce–Fe–B sintered magnets has also been reported before9 and it is reported to be beneficial to magnetic properties.
Fig. 5 shows the STEM-EDS elemental mappings for the DMP magnet with 30 wt% Ce–Fe–B addition. The RE elements distribution in two main phase grains, grain 1 and grain 2, marked by dotted lines and solid lines, respectively, further verifies that the elemental inter-diffusion occurs in DMP magnet. Compared with the relatively homogeneous RE distribution in grain 1, the Nd and Ce in grain 2 prefers to staying in the center and surface of 2
:
14
:
1 phase, respectively. The inhomogeneous RE distribution in grain 2 is consistent with the EDS line scan result of region 1 in Fig. 4(f). Different from the sintered DMP magnet,9 Nd–Ce and Ce–Nd core–shell structures are difficult to form in hot deformed magnet, because the lower deforming temperature which limits the REs diffusion. Unlike the distribution of RE elements, Fe and Co tend to enrich in main phase, while Ga prefers to stay at grain boundaries. The Ga with low melting point can improve the wettability of RE-rich phase,33 promoting the inter-diffusion of RE elements.
Based on the microstructure above, the chemical inhomogeneity of Nd and Ce elements in DMP Nd–Ce–Fe–B magnet could be described in Fig. 6. Two kinds of 2
:
14
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1 phase grain with different deformation ratios, i.e. platelet shaped grains and equiaxed grains, exist in DMP Nd–Ce–Fe–B magnet. In general, the deformation ability is great affected by the low melting point RE-rich grain boundary phase. It has been found that Ce–Fe–B alloys are difficult to deform due to the lack of low melting point grain boundary phase since the excessive Ce is consumed by the formation of high melting point 1
:
2 phase (∼925 °C).32 Hence, the platelet-like grains in the microstructure are Nd-rich main phase and the equiaxed-like grains that are hard to deform are Ce-rich main phase. The formation of 1
:
2 phase not only reduces the RE-rich grain boundary layers required for Hcj,34 but also decreases the Jr by introducing the non-ferromagnetic phase.35 The elemental inter-diffusion between Nd–Fe–B and Ce–Fe–B powders under hot pressing and hot deformation process is the main reason for chemical inhomogeneity. During hot pressing and hot deformation, the RE elements can diffuse along RE-rich phase in the grain boundary. As a result, a large amount of Nd and Ce existed in Ce-rich and Nd-rich grain boundary phase, respectively. In Ce-rich region, during inter-diffusion, the diffusion of Nd through Ce-rich grain boundary phase to Ce-rich 2
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14
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1 phase is limited due to the existence of 1
:
2 phase, which can be verified by M–T analysis results. Consequently, a few Nd diffuse into Ce-rich 2
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14
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1 phase, and it is beneficial for hard magnetic properties due to the higher intrinsic magnetic properties of Nd2Fe14B.10 In addition, 1
:
2 phase was not observed in magnet with low Ce–Fe–B addition, which as shown in XRD analysis results, so the distribution of Nd in Ce-rich grain boundary phase is beneficial to inhibits the precipitation of 1
:
2 phase other than increases the thickness and continuity of grain boundary phases.36 The modified grain boundary phase in Ce-rich region by Nd diffusion and the distribution of Nd in Ce-rich 2
:
14
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1 phase are beneficial for hard magnetic properties. On the contrary, Ce prefers to diffusing into the Nd-rich 2
:
14
:
1 phase and staying at the surface layer of the grains, which may reduce the magnetic anisotropy of the hard grain, therefore, the coercivity decreases. It is suggested that the distribution of Nd in DMP Nd–Ce–Fe–B magnets may be the main reason why excellent hard magnetic properties were obtained. In addition, for the certain Ce-containing composition, the chemical heterogeneity in DMP magnets may promote the short-range exchange coupling within an individual grain and effectively enhance the remanence.22 The similar chemical heterogeneity in DMP sintered magnets was also reported to be beneficial to inhibiting the magnetic dilution effect of Ce.14
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14
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1 phase increases abnormally with increasing Ce–Fe–B to 20 wt%. For the magnet with 10 wt% Ce–Fe–B addition, the optimal Hcj of 1215 kA m−1 and the excellent temperature coefficients (α = −0.110%/K and β = −0.544%/K) in the temperature range of 300–400 K were obtained, which are higher than those of SMP Nd–Fe–B magnet (Hcj = 1158 kA m−1, α = −0.117%/K, β = −0.570%/K). The Ce valence shifts to the Ce3+ state in 2
:
14
:
1 phase is one reason for the lattice expansion and excellent comprehensive magnetic properties in HDed Nd–Ce–Fe–B magnets. The inter-diffusion behavior of rare earth elements during hot pressing and hot deformation is analyzed based on the phase constitution and microstructure characterizations. It has been found that Nd tends to diffuse from Nd-rich grains to Ce-rich grains, and Ce follows the reverse direction. The modification of the Ce-rich grain boundary phase by Nd diffusion is beneficial for the reduction of 1
:
2 phase and increases the continuity of grain boundary phase. Meanwhile, the diffusion of Nd in Ce-rich 2
:
14
:
1 phase is also beneficial to magnetic properties. In addition, Ce tends to diffuse into the surface of Nd-rich 2
:
14
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1 phase, and the special chemical heterogeneity may be beneficial to inhibiting the magnetic dilution effect due to the strong short-range exchange coupling within an individual grain. This work provides a clear understanding of microstructure for hot deformed DMP Nd–Fe–B magnets with Ce addition.
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