FeSiBPNbCu Bulk Nanocrystalline Alloys with High GFA and Excellent Soft-Magnetic Properties

(Fe0.76Si0.09B0.1P0.05)99.3−xNbxCu0.7 (x = 0–1.5 at. %) bulk nanocrystalline alloys were prepared to investigate the alloying effects of Nb on glass forming ability, thermal stability, soft magnetic properties, and crystallization behavior. It was found that the amorphous forming ability was greatly improved with the addition of minor Nb. The thermal stability of Nb-containing alloy was significantly improved because the initial crystallization temperature and crystallization activation of the primary phase were obviously better than that of the Nb-free alloy. Further, the larger intervals of two-phase crystallization temperature and the significantly higher activation energy of crystallization of the second phase in the Nb-containing alloys favor the formation of a single α-Fe(Si) nanocrystalline structure. Moreover, Nb-containing alloys exhibit excellent soft magnetic properties, including high saturation magnetization of 1.42–1.49 T, low coercivity of around 1.0 A/m, and high permeability of about 18,000 at 1 kHz, which makes the alloys promising soft magnetic materials for industrial applications.


Introduction
The energy crisis is the most serious problem in the development of the current world.Therefore, to improve efficiency and reduce power consumption, higher saturation magnetization (B s ) accompanied with excellent soft magnetic properties (SMPs) is strongly required for the magnetic materials used in electrical power supplies and a variety of other industries.Since the Fe 73.5 Si 13.5 B 9 Nb 3 Cu 1 (FINEMET) nanocrystalline alloy obtained through crystalization of the corresponding glassy precursors was first reported by Yoshizawa in 1988 [1], Fe-based nanocrystalline alloys have attracted great interest because of their excellent SMPs and extremely low core loss, and thus their low energy consumption and high efficiency [2,3].Then, a wide variety of new alloys with improved SMPs for electronic and electric industries have been developed through composition adjustment and microstructure evolution, mainly focusing on the FeSiBNbCu, FeSiBCu, and FeSiBPCu alloy systems [1][2][3][4][5][6][7].Much work has been devoted to studying the mechanism of the nanocrystalline microstructural evolution in these alloys.Hono et al. reported that Cu atoms formed clusters prior to the onset of the crystallization reaction in nanocrystalline FeZrBCu and FeSiBNbCu alloys [8].By employing a three-dimensional atom probe and a high resolution electron microscope, it was further evidenced that Cu clusters were indirectly making contact with the α-Fe(Si) nanocrystals, suggesting that the α-Fe(Si) particles heterogeneously nucleated at the site of Cu clusters [9].As Nb was enriched in the remaining amorphous phase, the interface between α-Fe(Si) and the amorphous phase could be clearly seen from the drastic change in the concentrations of Nb, which suppressed the growth of α-Fe(Si) grains.
The mechanical properties of metallic glass, including its intrinsic brittleness, make it difficult to be processed and formed, which seriously limits its practical application in engineering.As recent studies pointed out, the size effects of large ductility and yield strength can be activated for nanoscale thin film metallic glasses and even for micronscale ribbon ones, which exhibit excellent magnetic properties such as much lower magnetic loss than that of their bulk counterpart [10,11].In fact, it is just thin film metallic glasses and small-scale ribbon ones that are widely used in the power and electronics industries because of their good machinability and formability.However, the glass forming ability (GFA) of these nanocrystalline alloys with high B s is very low, with the critical diameter (D cr ) of fully amorphous rods of no more than 1 mm.This has seriously hindered their further applications, so it is necessary to improve their GFA and SMPs simultaneously.Some attempts have been made to synthesize Fe-based bulk nanocrystalline alloys with high GFA and SMPs.Resultantly, a series of alloys have been successfully developed [12][13][14][15][16][17][18], which can be made into thick ribbons or nanocrystalline rod-shaped samples.Recently, by logically adding Cu, FeSiBPNbCu alloys with high GFA and SMPs were successfully developed by our team [18].Especially when 0.75 at.% Cu was introduced into FeSiBPNb alloy, the alloy after nanocrystalline treatment showed superior SMPs and high GFA.In the combination of Cu and Nb, as widely reported [1,9], Cu offers nucleation sites for the precipitation of the α-Fe(Si) grains, while Nb impedes the growth and promotes these grains to exhibit a much finer scale.Our previous work investigated the influences of Cu element addition point on the GFA of (Fe 0.76 Si 0.09 B 0.1 P 0.05 ) 99 Nb 1 and found that the GFA of Cu doped alloys slightly increased with minor Cu addition.Especially for the alloys with Cu content below 1 at.%, the GFA was strong enough to fabricate amorphous rods with diameters of over 1 mm.Further, we tried to increase the content of Fe [19].The results show that the magnetic saturation of the alloy increased gradually with the increase of iron content, but the GFA of the alloy deteriorated seriously.The increase of 0.02 at.% was no longer sufficient for the preparation of bulk amorphous alloys.Therefore, it is very instructive to study the effect of Nb content on the comprehensive performance in industrial production.In this paper, with the aim of obtaining the high GFA, good SMPs and high B s alloys, 0.7 at.% Cu was identified as the optimum quantity for the FeSiBPCu system, and the effect of Nb content on the GFA, the SMPs, the thermal stability, and the microstructure of (Fe 0.76 Si 0.09 B 0.1 P 0.05 ) 99.3−x Nb x Cu 0.7 (x = 0-1.5)bulk nanocrystalline alloys were systematically studied.

Experimental Procedures
(Fe 0.76 Si 0.09 B 0.1 P 0.05 ) 99.3−x Nb x Cu 0.7 (x = 0-1.5)alloy ingots were melted by induction melting of pure Fe (99.99 wt.%), Nb (99.9 wt.%) and Cu (99.99 wt.%), crystalline Si (99.99 wt.%) and B (99.9 wt.%) metalloids, and Fe 3 P (99.9 wt.%) pre-alloy (Zhongjin, Beijing, China) in a high-purity argon atmosphere.The compositions were nominally expressed in atomic percentage.Cylindrical alloy rods with a constant length of about 40 mm and different diameters ranging between 1 and 3 mm were produced by copper mold casting in an air atmosphere.Amorphous ribbons with a thickness of 22 µm and a width of 1 mm were prepared by the single-roller melt spinning method.The thermal properties of as-cast ribbons were analyzed by differential scanning calorimeter (DSC, 404C, NETZSCH, Selb, Germany) at a heating rate of 0.67 K/s in a high purity argon flow.The annealing temperature (T a ) for the ribbons were determined based on the crystallization temperatures (T x ) obtained from the DSC test.Isothermal annealing was carried out under certain temperatures for 5 min.On the basis of the DSC curves of as-cast specimens at the heating rates of 0.167, 0.33, 0.5, and 0.67 K/s, the corresponding Kissinger plots of the specimens were used to calculate the activation energy (E a ).
The microstructures of ribbons were examined by X-ray diffraction (XRD, D8 Advance, Bruker, Karlsruhe, Germany) with Cu-Kα radiation and high-resolution transmission electron microscopy (HRTEM, Tecnai G2 F20, FEI, Hillsboro, OR, USA).The samples for TEM observation were prepared by ion milling from both sides of the ribbons.Magnetic properties including B s , coercivity (H c ), and effective permeability (µ e ) at 1 kHz were measured with a vibrating sample magnetometer (VSM, 7410, Lake Shore, Columbus, OH, USA) under a maximum applied magnetic field of 800 kA/m, DC B-H loop tracer (BHS-40, Riken, Saitama, Japan) under a maximum field of 800 A/m, and an impedance analyzer (4294A, Agilent, PaloAlto, CA, USA) under a field of 1 A/m, respectively.All measurements were performed at room temperature.

Results and Discussion
The GFA of (Fe 0.76 Si 0.09 B 0.1 P 0.05 ) 99.3−x Nb x Cu 0.7 bulk nanocrystalline alloys was estimated by the D cr of amorphous rods.As shown in Figure 1, the XRD patterns show only a broad peak for Nb-containing alloys, implying the formation of single amorphous structures, but the pattern of Nb-free alloy shows strong crystal characteristics.The D cr fell into the range of 1-2.5 mm with a changing trend that the D cr increased from 1 to 2.5 mm, then reduced to 2 mm depending on the amount of Nb.The GFA was significantly enhanced with minor Nb addition, and the adequate Nb content for the maximum GFA was less than 1 at.% in the alloys.According to the empirical rules of high GFA glass alloys, the addition of Nb caused the more sequential change in the atomic size order, as well as the generation of new atomic pairs with various larger negative heats of mixing between Nb and (Fe, Si, B, P) atomic pairs [20].Subsequently, a new liquid structure with strong interaction formed and the stronger bonding nature of Nb-(Fe, Si, B, P) atomic pairs was beneficial to suppressing the nucleation and growth reactions of a crystalline phase, leading to the increase in glass transition temperature (T g ) and a supercooled liquid region (∆T x = T x − T g ) [18,19], which can be confirmed by Figure 2.However, the decreases in the GFA could also be attributed to the bonding nature, which becomes too strong when the Nb content is over 1 at.% [20].
min.On the basis of the DSC curves of as-cast specimens at the heating rates of 0.167, 0.33, 0.5, and 0.67 K/s, the corresponding Kissinger plots of the specimens were used to calculate the activation energy (Ea).
The microstructures of ribbons were examined by X-ray diffraction (XRD, D8 Advance, Bruker, Karlsruhe, Germany) with Cu-Kα radiation and high-resolution transmission electron microscopy (HRTEM, Tecnai G2 F20, FEI, Hillsboro, OR, USA).The samples for TEM observation were prepared by ion milling from both sides of the ribbons.Magnetic properties including Bs, coercivity (Hc), and effective permeability (μe) at 1 kHz were measured with a vibrating sample magnetometer (VSM, 7410, Lake Shore, Columbus, OH, USA) under a maximum applied magnetic field of 800 kA/m, DC B-H loop tracer (BHS-40, Riken, Saitama, Japan) under a maximum field of 800 A/m, and an impedance analyzer (4294A, Agilent, PaloAlto, CA, USA) under a field of 1 A/m, respectively.All measurements were performed at room temperature.

Results and Discussion
The GFA of (Fe0.76Si0.09B0.1P0.05)99.3−xNbxCu0.7 bulk nanocrystalline alloys was estimated by the Dcr of amorphous rods.As shown in Figure 1, the XRD patterns show only a broad peak for Nb-containing alloys, implying the formation of single amorphous structures, but the pattern of Nb-free alloy shows strong crystal characteristics.The Dcr fell into the range of 1-2.5 mm with a changing trend that the Dcr increased from 1 to 2.5 mm, then reduced to 2 mm depending on the amount of Nb.The GFA was significantly enhanced with minor Nb addition, and the adequate Nb content for the maximum GFA was less than 1 at.% in the alloys.According to the empirical rules of high GFA glass alloys, the addition of Nb caused the more sequential change in the atomic size order, as well as the generation of new atomic pairs with various larger negative heats of mixing between Nb and (Fe, Si, B, P) atomic pairs [20].Subsequently, a new liquid structure with strong interaction formed and the stronger bonding nature of Nb-(Fe, Si, B, P) atomic pairs was beneficial to suppressing the nucleation and growth reactions of a crystalline phase, leading to the increase in glass transition temperature (Tg) and a supercooled liquid region (ΔTx = Tx − Tg) [18,19], which can be confirmed by Figure 2.However, the decreases in the GFA could also be attributed to the bonding nature, which becomes too strong when the Nb content is over 1 at.% [20].The thermal properties of as-cast ribbons were estimated by DSC at a heating rate of 0.67 K/s, as shown in Figure 2. The pattern of Nb-free alloy exhibits a distinct temperature range between the first and second exothermic peaks and a large area followed by the first crystallization peak, which means that a massive number of α-Fe(Si) crystals were precipitated.This indicates that the (Fe0.76Si0.09B0.1P0.05)99.3Cu0.7 alloy is an excellent candidate for nanocrystallization.However, the low initial crystallization temperature (Tx1 = 679 K) and relatively small supercooled liquid region implies low thermal stability against crystallization and thus low GFA.However, the Tx1 increased by 27 K when the Nb content was up to 1.5 at.%, indicating the significant enhancement of stability.All the samples exhibited observable ΔTx and followed a trend (initially increasing with the amount of Nb, followed by decreasing), as shown in Figure 2b, with the maximum value of 67 K when the amount of Nb reached 1 at.%.The large ΔTx favored the high GFA in the Nb-containing alloys.Furthermore, the patterns of all the Nb-containing alloys exhibit obvious intervals between the first two exothermic peak temperatures Tx2 and Tx1, which is defined as ΔT (ΔT = Tx2 − Tx1).The ΔT expanded gradually to about 70 K with the addition of 1.5 at.% Nb.
In order to further investigate the effect of Nb on the thermal stability and crystallization process, the activation energy (Ea) of α-Fe(Si) and Fe-(B, P) phases, represented as Ea1 and Ea2, was derived by kinetic analyses.On the basis of the DSC curves of as-cast ribbons at the heating rates of 0.167, 0.33, 0.5, and 0.67 K/s, the corresponding Kissinger plots of the specimens were constructed through the Kissinger method [21]: where β, R, Ea, ν, and Tp are the heating rate, gas constant, action energy, frequency factor, and peak temperature of crystallization, respectively.As seen in Figure 3, Ea1 and Ea2 were calculated as 280.2 and 413.6 kJ/mol, respectively, for the (Fe0.76Si0.09B0.1P0.05)99.3Cu0.7 alloy, and 368.9 and 576.3 kJ/mol, respectively, for the (Fe0.76Si0.09B0.1P0.05)98.8Nb0.5Cu0.7 alloy.The activation energy of the Nb-containing (0.5 at.%) alloy is much higher than that of its counterpart Nb-free sample.Therefore, it is more stable to maintain the amorphous structure of the Nb-containing alloy.Moreover, the ΔEa (ΔEa = Ea2 − Ea1) of the Nb-containing alloy (207.4 kJ/mol) is higher than the Nb-free alloy (133.4 kJ/mol) and this is more conducive to maintaining the α-Fe(Si) single-phase structure of the alloy.These improvements are mainly due to the existence of Nb [22].The weak diffusion ability of Nb atoms and enrichment in the interface between α-Fe(Si) and the amorphous phases greatly suppress the The thermal properties of as-cast ribbons were estimated by DSC at a heating rate of 0.67 K/s, as shown in Figure 2. The pattern of Nb-free alloy exhibits a distinct temperature range between the first and second exothermic peaks and a large area followed by the first crystallization peak, which means that a massive number of α-Fe(Si) crystals were precipitated.This indicates that the (Fe 0.76 Si 0.09 B 0.1 P 0.05 ) 99.3 Cu 0.7 alloy is an excellent candidate for nanocrystallization.However, the low initial crystallization temperature (T x1 = 679 K) and relatively small supercooled liquid region implies low thermal stability against crystallization and thus low GFA.However, the T x1 increased by 27 K when the Nb content was up to 1.5 at.%, indicating the significant enhancement of stability.All the samples exhibited observable ∆T x and followed a trend (initially increasing with the amount of Nb, followed by decreasing), as shown in Figure 2b, with the maximum value of 67 K when the amount of Nb reached 1 at.%.The large ∆T x favored the high GFA in the Nb-containing alloys.Furthermore, the patterns of all the Nb-containing alloys exhibit obvious intervals between the first two exothermic peak temperatures T x2 and T x1 , which is defined as ∆T (∆T = T x2 − T x1 ).The ∆T expanded gradually to about 70 K with the addition of 1.5 at.% Nb.
In order to further investigate the effect of Nb on the thermal stability and crystallization process, the activation energy (E a ) of α-Fe(Si) and Fe-(B, P) phases, represented as E a1 and E a2 , was derived by kinetic analyses.On the basis of the DSC curves of as-cast ribbons at the heating rates of 0.167, 0.33, 0.5, and 0.67 K/s, the corresponding Kissinger plots of the specimens were constructed through the Kissinger method [21]: where β, R, E a , ν, and T p are the heating rate, gas constant, action energy, frequency factor, and peak temperature of crystallization, respectively.As seen in Figure 3, E a1 and E a2 were calculated as 280.2 and 413.6 kJ/mol, respectively, for the (Fe 0.76 Si 0.09 B 0.1 P 0.05 ) 99.3 Cu 0.7 alloy, and 368.9 and 576.3 kJ/mol, respectively, for the (Fe 0.76 Si 0.09 B 0.1 P 0.05 ) 98.8 Nb 0.5 Cu 0.7 alloy.The activation energy of the Nb-containing (0.5 at.%) alloy is much higher than that of its counterpart Nb-free sample.Therefore, it is more stable to maintain the amorphous structure of the Nb-containing alloy.Moreover, the ∆E a (∆E a = E a2 − E a1 ) of the Nb-containing alloy (207.4 kJ/mol) is higher than the Nb-free alloy (133.4 kJ/mol) and this is more conducive to maintaining the α-Fe(Si) single-phase structure of the alloy.These improvements are mainly due to the existence of Nb [22].The weak diffusion ability of Nb atoms and enrichment in the interface between α-Fe(Si) and the amorphous phases greatly suppress the growth of grains.Furthermore, Nb has a strong affinity with B and P, making the E a much higher [18,21,22].
growth of grains.Furthermore, Nb has a strong affinity with B and P, making the Ea much higher [18,21,22].The changes in the structure of the Nb-containing amorphous alloy with annealing crystallization were examined by XRD, as shown in Figure 4.The alloy remained in the amorphous state until annealed at 743 K for 5 min.As Ta rose to 763 K, there was only the α-Fe(Si) phase and no other crystallization phases for the alloy could be observed until Ta increased to 803 K.When Ta was elevated to 823 K, the other diffraction peaks emerged, which was in accordance with that of the Fe3(B,P) phase [18].The structures of the Nb-containing amorphous alloy after annealing at 783, 803, and 823 K for 5 min were further examined by TEM.After annealing at 783 K for 5 min, as shown in Figure 5a, the crystallization phase is identified as α-Fe(Si) from the the selected area electron diffraction (SAED) patterns in Figure 5d.The α-Fe(Si) grains had an average size of approximately 19 nm, randomly dispersing in the residual amorphous matrix.It can be seen from the TEM image of Figure 5b that the volume fraction of the crystallization phase obviously increased and the residual amorphous matrix relatively decreased when annealed at 803 K, owing to the continuous precipitation and growth of grains.The average size increased to 22 nm and there were not just α-Fe(Si) grains, but a few Fe3(B,P) grains in the crystallization products, which can be identified from Figure 5d, but failed to be observed by XRD, as shown in Figure 4, as a result of its limited resolution.As Ta increased to 823 K (Figure 5c), the amorphous matrix had almost disappeared, and the α-Fe(Si) and Fe3(B,P) grains dispersed randomly with an average size of approximately 25 nm.Meanwhile, the heat enthalpy (ΔH) for the two discussed phases decreased continually, meaning the decreasing of the residual amorphous phase, as shown in Figure 5e.The disappearance of the first exothermic peak with Ta indicates that the crystallization of α-Fe(Si) had finished completely, then the second phase began to dominate the crystallization process.In summary, the crystallization evolution of (Fe0.76Si0.09B0.1P0.05)98.8Nb0.5Cu0.7 ribbon can be summarized as follows: AM → AM′ + α-Fe(Si) (763 K) → AM″ + α-Fe(Si) + Fe3(B,P) (803 K). ( It can be speculated from the above results that during the annealing process of (Fe0.76Si0.09B0.1P0.05)98.8Nb0.5Cu0.7,an apparent short-medium range ordering or a nanoscale phase separation came out from the amorphous matrix [23,24], which acted as the nucleation sites for α-Fe(Si) crystals and led to the refinement of the grains.The introduction of Cu effectively stimulated the precipitation of the α-Fe(Si) nanocrystalline phase, but the addition of Nb The changes in the structure of the Nb-containing amorphous alloy with annealing crystallization were examined by XRD, as shown in Figure 4.The alloy remained in the amorphous state until annealed at 743 K for 5 min.As T a rose to 763 K, there was only the α-Fe(Si) phase and no other crystallization phases for the alloy could be observed until T a increased to 803 K.When T a was elevated to 823 K, the other diffraction peaks emerged, which was in accordance with that of the Fe 3 (B,P) phase [18].The structures of the Nb-containing amorphous alloy after annealing at 783, 803, and 823 K for 5 min were further examined by TEM.After annealing at 783 K for 5 min, as shown in Figure 5a, the crystallization phase is identified as α-Fe(Si) from the the selected area electron diffraction (SAED) patterns in Figure 5d.The α-Fe(Si) grains had an average size of approximately 19 nm, randomly dispersing in the residual amorphous matrix.It can be seen from the TEM image of Figure 5b that the volume fraction of the crystallization phase obviously increased and the residual amorphous matrix relatively decreased when annealed at 803 K, owing to the continuous precipitation and growth of grains.The average size increased to 22 nm and there were not just α-Fe(Si) grains, but a few Fe 3 (B,P) grains in the crystallization products, which can be identified from Figure 5d, but failed to be observed by XRD, as shown in Figure 4, as a result of its limited resolution.As T a increased to 823 K (Figure 5c), the amorphous matrix had almost disappeared, and the α-Fe(Si) and Fe 3 (B,P) grains dispersed randomly with an average size of approximately 25 nm.Meanwhile, the heat enthalpy (∆H) for the two discussed phases decreased continually, meaning the decreasing of the residual amorphous phase, as shown in Figure 5e.The disappearance of the first exothermic peak with T a indicates that the crystallization of α-Fe(Si) had finished completely, then the second phase began to dominate the crystallization process.In summary, the crystallization evolution of (Fe 0.76 Si 0.09 B 0.1 P 0.05 ) 98.8 Nb 0.5 Cu 0.7 ribbon can be summarized as follows: AM → AM + α-Fe(Si) (763 K) → AM" + α-Fe(Si) + Fe 3 (B,P) (803 K). ( It can be speculated from the above results that during the annealing process of (Fe 0.76 Si 0.09 B 0.1 P 0.05 ) 98.8 Nb 0.5 Cu 0.7 , an apparent short-medium range ordering or a nanoscale phase separation came out from the amorphous matrix [23,24], which acted as the nucleation sites for α-Fe(Si) crystals and led to the refinement of the grains.The introduction of Cu effectively stimulated the precipitation of the α-Fe(Si) nanocrystalline phase, but the addition of Nb significantly inhibited nucleation and growth of grains, then favored the improvement of GFA for the present system [22,25].Meanwhile, the right amount of Nb addition successfully promoted the acquisition of single and uniform fine α-Fe(Si) grains.Furthermore, Nb played a radical role in this Fe-based bulk nanocrystalline alloys in promoting the formation of α-Fe(Si) nanocrystallites and suppressing compounds such as the (Fe 3 (B,P)), hence producing the high-level SMPs of the alloys [26][27][28].
Metals 2019, 9, x FOR PEER REVIEW 6 of 10 significantly inhibited nucleation and growth of grains, then favored the improvement of GFA for the present system [22,25].Meanwhile, the right amount of Nb addition successfully promoted the acquisition of single and uniform fine α-Fe(Si) grains.Furthermore, Nb played a radical role in this Fe-based bulk nanocrystalline alloys in promoting the formation of α-Fe(Si) nanocrystallites and suppressing compounds such as the (Fe3(B,P)), hence producing the high-level SMPs of the alloys [26][27][28].significantly inhibited nucleation and growth of grains, then favored the improvement of GFA for the present system [22,25].Meanwhile, the right amount of Nb addition successfully promoted the acquisition of single and uniform fine α-Fe(Si) grains.Furthermore, Nb played a radical role in this Fe-based bulk nanocrystalline alloys in promoting the formation of α-Fe(Si) nanocrystallites and suppressing compounds such as the (Fe3(B,P)), hence producing the high-level SMPs of the alloys [26][27][28].For both the Nb-containing alloy and the Nb-free one, the B s changed (Figure 6a) in the trend of increasing first and then decreasing with T a , while the change of H c (Figure 6b) showed a contrary trend with the change of B s .There were no distinct differences in the rate and extent of B s change between the Nb-containing alloy and the Nb-free one.As the content of Nb increased, B s increased gradually to the maximum, followed by a slow decrease with T a going up.Different from the trend of B s , H c dropped a lot in the early stage and then slowly decreased to the minimum value and finally increased sharply.Usually, the features of B s and H c are considered to be caused by the relaxation of internal stress triggered by low temperature annealing and the appearance of crystallization phases activated by high temperature annealing.When annealed at a low temperature far below T x1 , the increase in B s is mainly attributed to the reduction of free volume and thus the increase of density caused by structure relaxation, while the decrease in H c is the result of the enhancement of the magnetic isotropy accompanying the internal stress relaxation or removal [29,30].If annealed at a high temperature over the crystallization peak, the ferroboron phase or ferrophosphorus phase begins to dominate the crystallization process, which is detrimental to SMPs, that is, resulting in the decrease in B s and the increase in H c .Thus, the selectable T a is usually limited within the temperature range of the first crystallization peak, in which the precipitation and growth of fine nano-α-Fe(Si) grains are the objective of optimizing annealing technique.However, the present work indicates that the results of the actual isothermal treatment are quite different from those under the condition of ascending temperature annealing.For both the Nb-containing alloy and the Nb-free one, the Bs changed (Figure 6a) in the trend of increasing first and then decreasing with Ta, while the change of Hc (Figure 6b) showed a contrary trend with the change of Bs.There were no distinct differences in the rate and extent of Bs change between the Nb-containing alloy and the Nb-free one.As the content of Nb increased, Bs increased gradually to the maximum, followed by a slow decrease with Ta going up.Different from the trend of Bs, Hc dropped a lot in the early stage and then slowly decreased to the minimum value and finally increased sharply.Usually, the features of Bs and Hc are considered to be caused by the relaxation of internal stress triggered by low temperature annealing and the appearance of crystallization phases activated by high temperature annealing.When annealed at a low temperature far below Tx1, the increase in Bs is mainly attributed to the reduction of free volume and thus the increase of density caused by structure relaxation, while the decrease in Hc is the result of the enhancement of the magnetic isotropy accompanying the internal stress relaxation or removal [29,30].If annealed at a high temperature over the crystallization peak, the ferroboron phase or ferrophosphorus phase begins to dominate the crystallization process, which is detrimental to SMPs, that is, resulting in the decrease in Bs and the increase in Hc.Thus, the selectable Ta is usually limited within the temperature range of the first crystallization peak, in which the precipitation and growth of fine nano-α-Fe(Si) grains are the objective of optimizing annealing technique.However, the present work indicates that the results of the actual isothermal treatment are quite different from those under the condition of ascending temperature annealing.As shown in Figure 2, the crystallization temperature of isothermal annealing was significantly lower (about 20-30 K) than that of ascending temperature annealing, which corresponds to Tx1 obtained by the corresponding DSC.After annealing in the temperature range of 723-783 K, the Nb-containing alloys showed synthetically excellent SMPs, as shown in Figure 6.Moreover, from Figure 2 and Figure 5, it can be seen that the full removal of stress by annealing in this temperature range resulted in significant improvement of Hc and Bs.The emergence of fine nanocrystals, caused by annealing at higher temperature at this stage, further improved Bs and Hc [31,32].However, the Hc increased rapidly and the Bs began to decrease upon the emergence of Fe3(B,P), resulting from annealing at Ta of 783 K or higher.As shown in Figure 2, the crystallization temperature of isothermal annealing was significantly lower (about 20-30 K) than that of ascending temperature annealing, which corresponds to T x1 obtained by the corresponding DSC.After annealing in the temperature range of 723-783 K, the Nb-containing alloys showed synthetically excellent SMPs, as shown in Figure 6.Moreover, from Figures 2 and 5, it can be seen that the full removal of stress by annealing in this temperature range resulted in significant improvement of H c and B s .The emergence of fine nanocrystals, caused by annealing at higher temperature at this stage, further improved B s and H c [31,32].However, the H c increased rapidly and the B s began to decrease upon the emergence of Fe 3 (B,P), resulting from annealing at T a of 783 K or higher.
Table 1 lists the GFA (D cr ) and Magnetic Properties (H c , B s , and µ e ) of the alloys developed in this work and some other Fe-based bulk nanocrystalline alloys widely reported previously [1,9,13].The developed FeSiBPNbCu bulk nanocrystalline alloys with minor Nb addition show comprehensively excellent properties, especially for the combination of high GFA and high B s , namely, D cr of 1-2.5 mm and high B s of 1.42-1.5T, but also low H c of 0.86-2 A/m, high µ e at 1 kHz of 15,000-18,500.Owing to these advantages, the present alloys are encouraging for future progress as excellent soft magnetic materials.

Conclusions
FeSiBPNbCu bulk nanocrystalline alloys with high GFA and excellent SMPs were successfully prepared.The feature of crystallization kinetic proved that the addition of Nb significantly improved the thermal stability.It was indicated that the results of the actual isothermal treatment are quite different from those under the condition of ascending temperature annealing.The crystallization temperature of isothermal annealing is significantly lower than that of ascending temperature annealing.The present alloys with minor Nb addition exhibited comprehensively excellent SMPs in both amorphous and nanocrystalline states.Moreover, the alloys developed in this work maintained excellent SMPs over a relatively wide T a range, which makes them competitive candidates in future applications.

Figure 6
Figure 6 illustrates the influences of Nb on Bs and Hc with different Ta for the (Fe0.76Si0.09B0.1P0.05)99.3−xNbxCu0.7 (x = 0-1.5)alloys.Both the Bs and Hc of the Nb-containing alloys showed a trend of decreasing with Nb addition in quenched state or annealed state at different Ta.

Figure 6
Figure 6 illustrates the influences of Nb on Bs and Hc with different Ta for the (Fe0.76Si0.09B0.1P0.05)99.3−xNbxCu0.7 (x = 0-1.5)alloys.Both the Bs and Hc of the Nb-containing alloys showed a trend of decreasing with Nb addition in quenched state or annealed state at different Ta.

Figure 5 .
Figure 5. TEM bright field images and grain size distribution for the (Fe 0.76 Si 0.09 B 0.1 P 0.05 ) 98.8 Nb 0.5 Cu 0.7 alloy annealed for 5 min under the following: (a) 783 K, (b) 803 K, and (c) 823 K; (d) SAED patterns I, II, and III corresponding to 783 K, 803 K, and 823 K, respectively; and (e) DSC curves of the annealed ribbons.

Figure 6
Figure6illustrates the influences of Nb on B s and H c with different T a for the (Fe 0.76 Si 0.09 B 0.1 P 0.05 ) 99.3−x Nb x Cu 0.7 (x = 0-1.5)alloys.Both the B s and H c of the Nb-containing alloys showed a trend of decreasing with Nb addition in quenched state or annealed state at different T a .For both the Nb-containing alloy and the Nb-free one, the B s changed (Figure6a) in the trend of increasing first and then decreasing with T a , while the change of H c (Figure6b) showed a contrary trend with the change of B s .There were no distinct differences in the rate and extent of B s change between the Nb-containing alloy and the Nb-free one.As the content of Nb increased, B s increased gradually to the maximum, followed by a slow decrease with T a going up.Different from the trend of B s , H c dropped a lot in the early stage and then slowly decreased to the minimum value and finally increased sharply.Usually, the features of B s and H c are considered to be caused by the relaxation of internal stress triggered by low temperature annealing and the appearance of crystallization phases activated by high temperature annealing.When annealed at a low temperature far below T x1 , the increase in B s is mainly attributed to the reduction of free volume and thus the increase of density caused by structure relaxation, while the decrease in H c is the result of the enhancement of the magnetic isotropy accompanying the internal stress relaxation or removal[29,30].If annealed at a high temperature over the crystallization peak, the ferroboron phase or ferrophosphorus phase begins to dominate the crystallization process, which is detrimental to SMPs, that is, resulting in the decrease in B s and the increase in H c .Thus, the selectable T a is usually limited within the temperature range of the first crystallization peak, in which the precipitation and growth of fine nano-α-Fe(Si) grains are the objective of optimizing annealing technique.However, the present work indicates that the results of the actual isothermal treatment are quite different from those under the condition of ascending temperature annealing.

Table 1
[1,9, the GFA (Dcr) and Magnetic Properties (Hc, Bs, and μe) of the alloys developed in this work and some other Fe-based bulk nanocrystalline alloys widely reported previously[1,9,13].The developed FeSiBPNbCu bulk nanocrystalline alloys with minor Nb addition show