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The metastable and stable liquid state thermophysical properties and rapid solidification mechanism of quaternary Fe75.6Nd10Y9B5.4 alloy with a maximum undercooling temperature of 221 K (0.14TL) are investigated using electrostatic levitation technique. The measured results indicate that the density, thermal expansion coefficient and the ratio of specific heat to emissivity of the liquid alloy comply with linear functional relationship with temperature in the range of 1402–1618 K. Molecular dynamics (MD) simulations show that the diffusion coefficients of Nd and Y elements decrease exponentially with temperature decreasing, with the former exhibiting a larger diffusion coefficient at the same temperature. When the liquid under cooling rises from 80 to 158 K, the growth velocity of primary (Nd,Y)2Fe17 phase dendrites increases from 3.8 to 5.7 mm·s−1, while exhibiting significant grain refinement effect. Meanwhile, the increased undercooling also promotes peritectic transformation, leading the volume fraction of peritectic τ1-(Nd,Y)2Fe14B phase to reach up to 75%. Once the undercooling reaches 180 K, the former peritectic τ1 phase, rather than the primary (Nd,Y)2Fe17 phase, becomes the leading phase, which nucleates and grows directly from the undercooled liquid alloy, and its growth velocity increases with undercooling from 2.6 to 11.0 mm/s. The calculation results of formation enthalpy show that the solid solution of the Y element can enhance the thermodynamic stability of the (Nd,Y)2Fe17 phase and the τ1 phase, thereby explaining the reason why the content of Y element in both phases is significantly higher than that of Nd element. Nevertheless, the content of Nd element in the τ1 phase slightly increases because its diffusion ability is stronger than that of Y if undercooling temperature is higher than 180 K.
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Keywords:
- Fe-Nd-Y-B alloy /
- electrostatic levitation /
- metastable liquid state thermophysical properties /
- rapid solidification microstructure
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图 1 四元Fe75.6Nd10Y9B5.4合金的亚稳和稳定液态热物理性质随温度变化规律 (a) 合金成分在Fe-Nd-Y-B相图773 K等温截面中的位置; (b) 密度与热膨胀系数; (c) 比热与辐射率之比; (d) Nd与Y元素扩散系数
Figure 1. Metastable and stable liquid state thermophysical properties of quaternary Fe75.6Nd10Y9B5.4 alloy versus temperature: (a) Alloy location in the 773 K isothermal section of Fe-Nd-Y-B phase diagram; (b) density and thermal expansion coefficient; (c) the ratio of specific heat to emissivity; (d) diffusivities of Nd and Y elements.
图 2 四元Fe75.6Nd10Y9B5.4合金的近平衡凝固路径 (a) DSC曲线; (b) XRD图谱; (c) 凝固组织; (d) (Nd, Y)2Fe17与τ1相形核率
Figure 2. Near-equilibrium solidification path of quaternary Fe75.6Nd10Y9B5.4 alloy: (a) DSC curve; (b) XRD patterns; (c) solidification microstructure; (d) the calculated nucleation rates of (Nd, Y)2Fe17 and τ1 phases.
图 3 小过冷条件下静电悬浮快速凝固过程与组织特征 (a) ∆T = 80 K冷却曲线; (b) ∆T = 80 K组织形态; (c) ∆T = 158 K冷却曲线; (d) ∆T = 158 K凝固组织
Figure 3. Rapid solidification process and microstructure characteristics under electrostatic levitation condition at small undercoolings: (a) Cooling curve at ΔT = 80 K; (b) microstructure morphology at ΔT = 80 K; (c) cooling curve at ΔT = 158 K; (d) solidification microstructure at ΔT = 158 K.
图 4 四元Fe75.6Nd10Y9B5.4合金小过冷凝固组织特征随过冷度变化规律 (a) 各相体积分数; (b) 初生(Nd, Y)2Fe17相生长速度
Figure 4. Solidification microstructure characteristics of quaternary Fe75.6Nd10Y9B5.4 alloy versus undercooling smaller than 180 K: (a) Volume fractions of each phase; (b) growth velocity of primary (Nd, Y)2Fe17 phase.
图 5 四元Fe75.6Nd10Y9B5.4合金深过冷快速凝固组织演变规律 (a) ∆T = 180 K冷却曲线; (b) ∆T = 180 K组织形貌; (c) ∆T = 221 K冷却曲线; (d) ∆T = 221 K凝固组织
Figure 5. Rapid solidification microstructure morphology of quaternary Fe75.6Nd10Y9B5.4 alloy at high undercooling regime: (a) Cooling curve at ΔT = 180 K; (b) microstructure morphology at ΔT = 180 K; (c) cooling curve at ΔT = 221 K; (d) solidification microstructure at ΔT = 221 K.
图 6 深过冷条件下初生τ1相生长特征 (a) 晶粒尺寸和体积分数; (b) 生长速度
Figure 6. Growth characteristics of primary τ1 phase under high undercooling conditions: (a) Grain size and volume fraction; (b) growth velocity.
图 7 不同过冷度条件下凝固组织中稀土Nd和Y元素分布 (a) ∆T = 80 K; (b) ∆T = 221 K
Figure 7. Distribution features of rare earth Nd and Y elements in solidification microstructures at different undercoolings: (a) ΔT = 80 K; (b) ΔT = 221 K.
图 8 快速凝固组织中(Nd, Y)2Fe17与τ1相内Nd和Y元素含量随过冷度变化规律 (a) (Nd, Y)2Fe17相; (b) τ1相; (c) 四相形成焓
Figure 8. The content evolution of Nd and Y elements in (Nd, Y)2Fe17 and τ1 phases of rapid solidification microstructures: (a) (Nd, Y)2Fe17 phase; (b) τ1 phase; (c) formation enthalpy of four phases.
表 1 (Nd, Y)2Fe17与τ1相形核率计算的物理参数
Table 1. Physical parameters for calculating nucleation rates of (Nd, Y)2Fe17 and τ1 phases.
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表 2 各相晶格常数计算结果与实验数据对比
Table 2. Comparison of the calculated lattice constants of each phase with experimental data.
Structure Lattice (Exp.) Refs. Lattice (Calculations in this work) A/Å b/Å c/Å a/Å ea/‰ b/Å eb/‰ c/Å ec/‰ Nd2Fe14B 8.800 8.800 12.200 [33] 8.819 2.16 8.818 2.05 12.253 4.34 Nd2Fe17 8.567 8.567 12.443 [34] 8.641 8.64 8.641 8.64 12.560 9.40 Y2Fe14B 8.760 8.760 12.000 [35] 8.775 1.71 8.775 1.71 12.018 1.50 Y2Fe17 8.520 8.520 12.380 [36] 8.584 7.50 8.584 7.50 12.378 0.16 注: eX (X = a, b, c)是计算结果相较于实验测定结果的计算误差.
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