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Influence of isochronal annealing on the microstructure and magnetic properties of Cu-free HITPERM Fe40.5Co40.5Nb7B12 alloy

Gupta, P.; Ganguli, Tapas; Gupta, A.; Sinha, A.K.; Deb, S.K.; Svec Jr., P.; Franco García, Victorino

Abstract

Systematic study of the effect of isochronal annealing on the structure and magnetic properties of Cu-free HITPERM alloy (Fe40.5Co40.5Nb7B12) is described herein. Mo¨ssbauer spectroscopy (MS) and anomalous x-ray diffraction (XRD) measurement at Fe K-edge (7.112 keV) jointly provide clear evidence for the presence of atomically ordered a0-FeCo (B2 structure) phase as a nanocrystalline ferromagnetic phase. Being a short range order probe, Mo¨ssbauer spectroscopy also confirms the development of an additional non-magnetic Nb-rich phase in the nanocrystalline specimens (annealed above 723 K) with simultaneous lowering of the volume fraction of ferromagnetic phases. The fraction of Fe atoms in the non-magnetic phase is rv15% upon annealing at 773 K for 1 h, which increases gradually and reaches to as high as rv19% after annealing at 923 K. This phase was not detected by XRD and transmission electron microscopy (TEM) measurements, which may be attributed to tiny crystallite size and/or high degree of disorder. In the second stage of crystallization, i.e., above 923 K, the alloy becomes fully crystalline and a stable, hard magnetic fcc-(FeCo)23B6 type phase was observed as a main boride phase along with soft magnetic a0-FeCo phase and Nb rich non-magnetic phase. Thermo magnetic measurement evidenced re-crystallization process as a considerable decrease in magnetization at the second transformation stage. Simultaneous lowering of the volume fraction of magnetic phases with the formation of non-magnetic phase provides convincing origin for the decrease in magnetization at the second crystallization stage

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Influence of isochronal annealing on the microstructure and magnetic properties of Cufree HITPERM Fe40.5Co40.5Nb7B12 alloy P. Gupta, Tapas Ganguli, A. Gupta, A. K. Sinha, S. K. Deb, P. Svec Jr., and V. Franco Citation: Journal of Applied Physics 111, 113518 (2012); doi: 10.1063/1.4728161 View online: http://dx.doi.org/10.1063/1.4728161 View Table of Contents: http://scitation.aip.org/content/aip/journal/jap/111/11?ver=pdfcov Published by the AIP Publishing Articles you may be interested in Effect of Co addition on the atomic ordering of FeCo-phase in nanocrystalline Fe81-xCoxNb7B12 alloys (x = 20.25, 27, 40.5, 54, 60.75): An anomalous diffraction and Mössbauer study J. Appl. Phys. 114, 083516 (2013); 10.1063/1.4819398 The influence of isochronal annealing on the crystallization and magnetic properties of Fe40.5Co40.5Nb7B12 alloy AIP Conf. 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Franco 4 1 Indus Synchrotron Utilization Division, Raja Ramanna Centre for Advanced Technology, Indore 452013, India 2 UGC-DAE Consortium for Scientific Research, University Campus, Khandwa Road, Indore 452017, India 3 Institute of Physics, Slovak Academy of Sciences, Dubravska cesta 9, 845 11 Bratislava, Slovakia 4 Dpto. Fı´sica de la Materia Condensada, ICMSE-CSIC, Universidad de Sevilla, P.O. Box 1065, Sevilla 41080, Spain (Received 28 January 2012; accepted 8 May 2012; published online 7 June 2012) Systematic study of the effect of isochronal annealing on the structure and magnetic properties of Cu-free HITPERM alloy (Fe 40.5 Co 40.5 Nb 7 B 12 ) is described herein. Mo¨ssbauer spectroscopy (MS) and anomalous x-ray diffraction (XRD) measurement at Fe K-edge (7.112 keV) jointly provide clear evidence for the presence of atomically ordered a0-FeCo (B2 structure) phase as a nanocrystalline ferromagnetic phase. Being a short range order probe, Mo¨ssbauer spectroscopy also confirms the development of an additional non-magnetic Nb-rich phase in the nanocrystalline specimens (annealed above 723 K) with simultaneous lowering of the volume fraction of ferromagnetic phases. The fraction of Fe atoms in the non-magnetic phase is 15% upon annealing at 773 K for 1 h, which increases gradually and reaches to as high as 19% after annealing at 923 K. This phase was not detected by XRD and transmission electron microscopy (TEM) measurements, which may be attributed to tiny crystallite size and/or high degree of disorder. In the second stage of crystallization, i.e., above 923 K, the alloy becomes fully crystalline and a stable, hard magnetic fcc-(FeCo) 23 B 6 type phase was observed as a main boride phase along with soft magnetic a0-FeCo phase and Nb rich non-magnetic phase. Thermo magnetic measurement evidenced re-crystallization process as a considerable decrease in magnetization at the second transformation stage. Simultaneous lowering of the volume fraction of magnetic phases with the formation of non-magnetic phase provides convincing origin for the decrease in magnetization at the second crystallization stage. V C2012 American Institute of Physics.[http://dx.doi.org/10.1063/1.4728161] I. INTRODUCTION Nanocrystalline alloys, which consist of nanosized ferromagnetic crystals embedded in a residual ferromagnetic amorphous matrix, exhibit excellent soft magnetic properties such as low coercivity, high saturation magnetization, high permeability, and low hysteresis losses. Technical applications require materials with stable and good soft magnetic properties over a wide temperature and time range. Fe based nanocrystalline alloys produced by controlled partial crystallization of amorphous precursors (obtained by rapid quenching form the melt) are the best known soft magnetic materials till date. They can be classified as: FINEMET (FeSiCuNbB), 1 NANOPERM (FeCu (Zr, Nb, Hf) B), 2 and HITPERM FeCo (Zr, Nb, Hf) B (Cu) 3 alloys. The crystallization of such alloys occurs in two transformation stages, in the primary stage of crystallization a-Fe 3 Si nanocrystalline grains with a DO 3 crystal structure (for Finemet alloys), a-Fe nanocrystals with body-centered-cubic (bcc) (A2) structure (for Nanoperm), nanocrystalline a0-FeCo grains with B2 structure (for HITPERM) are formed. Devitrification process is completed in the second transformation stage, occurring at higher temperature where abrupt decrease in soft magnetic properties is observed with the formation of different hard magnetic and/or non-magnetic boride and niobate phases. In the nanocrystalline state, where the nanosized ferromagnetic crystalline grains are embedded in a residual ferromagnetic amorphous matrix, the soft magnetic properties arise from the exchange interaction between the randomly oriented nanocrystalline grains (5–20 nm) through the intervening amorphous matrix (atomic scale), 1 where the smoothing action of exchange energy decreases the effective anisotropy. 4 The exchange coupling among these grains deteriorates above the Curie temperature of amorphous matrix, which in turn deteriorates the soft magnetic properties in such systems. Therefore, FINEMET and NANOPERM alloys have low thermal limitation. High temperature power applications require that the soft magnetic properties of these alloys should be maintained up to elevated temperatures. 5 Due to presence of Co, HITPERM type alloys possesses high Curie temperature of amorphous and nanocrystalline phases and maintains high induction (1.6–2.1 T) up to elevated temperatures as compared to FINEMET and NANOPERM and thus are suitable materials for operation at high temperatures. 6 Cu free HITPERM alloys possess lower values of coercivity as compared to Cu containing HITPERM alloys. 7 In addition to this, because Cu atoms do not form clusters, the grain sizes in the nanocrystalline state of Cu-containing and Cu-free alloys are found to be almost same. 8 Therefore, Cu-free alloys have the benefit of increasing the saturation 0021-8979/2012/111(11)/113518/10/$30.00 V C2012 American Institute of Physics111, 113518-1 JOURNAL OF APPLIED PHYSICS 111, 113518 (2012) [This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to ] IP: 150.214.182.116 On: Wed, 27 Jan 2016 15:02:07 magnetic flux density. 9 However, it may be noted that the late transition metals (Zr, Nb, Mo etc.) affects the driving force of the Cu clustering phenomenon for such alloys. 10 The soft magnetic properties of such nanocrystalline alloys have strong correlation with how the nanocrystalline phases evolve upon heat treatment under suitable conditions. 11 Therefore, the optimization of microstructure and magnetic properties under the influence of some processing technique (such as thermal processing) is important for application of these alloys as soft magnetic materials. Controlled annealing treatment can pave a way in controlling the magnetic properties of the amorphous as well as nanocrystalline phases and hence the soft magnetic properties of the alloy composition. The detailed investigation on the effect of annealing is expected to provide a better understanding of the microstructure and magnetic properties. In addition to this, Willard et al. 12 provided unambiguous evidence about the atomically ordered a0-FeCo phase as the nanocrystalline phase in FeCoZrBCu alloys. However, there is no experimental evidence, whether the Cu free Hitperm alloy has either an atomically ordered or a disordered FeCo nanocrystalline phase. It is important to note that due to similar atomic scattering factors of Fe and Co, there is ambiguity in distinguishing between the disordered a-FeCo phase and ordered a0-FeCo phase by the conventional XRD measurement, in the nanocrystalline state of such alloys. Close to the absorption edges of the constituents (Fe or Co), the anomalous scattering factors play an important role and the difference in the atomic scattering factors enhances significantly, which makes the observation of super lattice reflection possible, in case of the ordered phase. 13 In the present work, melt spun Fe 40.5 Co 40.5 Nb 7 B 12 alloy was isochronally annealed at different temperatures over a wide range of temperatures and the relation between the microstructure and magnetic properties of the alloy was investigated using complementary techniques of synchrotron radiation based x-ray diffraction (SR-XRD), TEM, Mo¨ssbauer spectroscopy, differential scanning calorimetry (DSC), and thermo-magnetic gravimetery (TMG). The degree of atomic ordering of the nanocrystalline FeCo phase was also determined by anomalous x-ray scattering measurement at Fe K-edge (7.112 keV). II. EXPERIMENTAL Alloy of nominal composition Fe 40.5 Co 40.5 Nb 7 B 12 was prepared by arc melting high purity electrolytic Fe, Co, Nb, and B metals basis in an argon atmosphere. Amorphous ribbons, 6 mm wide and about 20 lm thick, were produced from the ingots using a single wheel melt spinning technique. Chemical composition of the ribbon was checked by inductively coupled plasma spectroscopy and no detectable deviation from the nominal composition was observed. The ribbons were isochronally annealed for 1 h in a tubular furnace under vacuum atmosphere (better than 10 5 Torr) at temperatures ranging from 573 K to 973 K. A differential scanning calorimeter was used to examine the crystallization temperatures of an as-cast ribbon. A scanning rate of 10 K/min was used for temperatures between 300 K and 873 K. The structures of the as-spun and annealed ribbons were examined by SR-XRD and TEM. X-ray diffraction measurements were performed at ADXRD beamline of Indus-2 synchrotron source, India, 14 utilizing the monochromatic x-rays of energy 15 keV. Image plate area detector was used to record the spectra. Lathanum hexaborate (LaB 6 ) was used as standard material for calibration. In order to distinguish ordered a0-FeCo phase from the disordered a-FeCo phase, anomalous XRD measurements were also performed by choosing the x-ray energy of 7.112 keV (Fe-Kedge). All samples for TEM were isochronally annealed in high vacuum (better than 7.5 10 7 Torr) at different temperatures and subsequently polished by ion beam milling using Gatan PIPS. TEM observations were performed using JEOL 2000 FX. For all the annealed specimens, the 57 Fe Mo¨ssbauer measurements at room temperature in transmission geometry have been done using a 57 Co: Rh source and a constant acceleration Mo¨ssbauer drive. To characterize thermal behavior of the magnetization of the alloy, thermomagnetic gravimetery was performed using Perkin-Elmer TGA-7. After electronically cancelling the sample weight, an apparent weight was recorded after placing a magnet (magnetic field 20 mT) below the sample pan. Heating was then carried out from 323 K to 1123 K with a rate of 10 K/min. Changes in the magnetic force acting on the sample are related to the variations in magnetization with temperature and are recorded as apparent weight change of the sample. III. RESULTS AND DISCUSSION A. DSC measurement Figure 1shows the DSC thermogram of the as-quenched samples measured in the temperature range where the primary crystallization takes place. The exothermal peaks with onset at T onset and the peak position at T crys1 correspond to the formation of the nanocrystalline bcc-FeCo. For Fe 40.5 Co 40.5 Nb 7 B 12 alloy, T onset 742 K and T crys1 768 K has been detected. It may be noted that T onset is obtained as the intersection of the largest slope of the exothermal peak with the baseline of the DSC record and T crys is the temperature of the peak. In general, 600 650 700 750 800 850 -2 -1 0 1 2 3 4 Fe40.5Co40.5Nb7B12 alloy Heat Flow (mW) T(K) Tcrys1 Tonset FIG. 1. DSC scan of as-cast Fe 40.5 Co 40.5 Nb 7 B 12 alloy. 113518-2 Gupta et al. J. Appl. Phys. 111, 113518 (2012) [This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to ] IP: 150.214.182.116 On: Wed, 27 Jan 2016 15:02:07 the Nb-containing HITPERM type alloys follow a two step crystallization process. 15,16 The primary crystallization stage (above 700 K) produces bcc-FeCo nanocrystals dispersed in residual amorphous matrix. The alloy becomes fully crystalline in a secondary crystallization stage (above 900 K) with the precipitation of additional boride and niobate phases. 17 B. XRD measurement Figure 2gives SR-XRD spectra of the alloy in the annealed state with some representative raw image plate patterns, illustrating the micro structural evolution of the samples as a function of annealing temperature. For comparison, the spectrum of the alloy in the as-quenched state is also included in the same figure. The sample-to-image-plate distance was 125.36 mm. The image plate data files were integrated using FIT2D, incorporating polarization correction. 18 In the as prepared state, XRD pattern shows a broad halo, which is characteristic of the amorphous phase. With progressive stages of annealing, the system gradually transforms to nanocrystalline phase. The XRD spectra of the asquenched alloy can be fitted by a Lorentzian function with full width at half maximum of 3.2260.02. The XRD patterns of the annealed specimens show that after annealing at 723 K (temperature corresponds to onset of crystallization), the broad halo started shaping into narrow peak and the alloy becomes partially nanocrystalline, where nano-crystals are dispersed in the remaining amorphous matrix (Fig. 2). This nanocrystalline phase comprises of bcc-Fe (Co) phase as indicated by sharp peaks in the XRD pattern of the specimen annealed at 773 K, at 2hvalues of 23.51, 33.52, 41.36, and 48.14with some small indication of amorphous phase. The relative intensities match well with the JCPDS database 19 and additionally the diffraction rings are of uniform intensity (Fig. 2(b)), which shows that the crystallites have random orientation. 20 In case of annealed specimens, the assumption of single Lorentzian for the fitting was found to be valid only up to 658 K, where the specimen remained in the pure amorphous state. From 723 K onwards, data were fitted by taking the superposition of Lorentzian and Gaussian peaks: Lorentzian corresponds to the amorphous phase and Gaussian to the nanocrystalline phase. It may be noted that with increasing annealing temperature (up to the temperature of 923 K), diffraction peaks corresponding to bcc-FeCo nanocrystalline phase become progressively sharper but the peak position remains nearly unaffected for the whole range of annealing temperature. After annealing at 973 K (well above the end of primary crystallization), the peak corresponding to (110) reflection of Fe, Co nanocrystalline phase becomes very sharp and the alloy becomes fully crystalline. No signature of the remaining amorphous phase was observed. Closer inspection of the spectra in the fully crystalline state of the alloy suggests that various additional small peaks start appearing which correspond to different boride-type phases such as (FeCo) 3 B, (FeCo) 2 B and (FeCo) 23 B 6 phases and (FeCo) 3 Nb niobate phase. 15,17,21 Studies on the crystallization of FINEMET alloys have exhibited such hard magnetic boride phases upon joule heating. 22 The average crystallite size (D) and lattice micro-strain (e) for FeCo phase was estimated by applying the Williamson-Hall method. 23 The physical line broadening B is a sum of line broadening connected to crystallite size (D) and of line broadening connected to lattice strain (e). For the Gaussian x-ray profiles, Williamson-Hall equation is expresses as, 24 ðBcos hÞ2¼kk D  2 þðesin hÞ2;(1) where B is the full width at half maximum of XRD peaks, k is Scherrer constant, kis the wavelength of x-ray, and his the Bragg angle. The line broadening and the position of the four Bragg peaks were used to estimate the mean crystallite size, (D) and lattice micro-strain (e). Figure 3shows the calculated Dand evalues for the alloy as a function of increasing annealing temperature. The results indicate that the crystallite size increases with increasing annealing temperature. Upon annealing at 973 K, when the system is completely crystallized, the size of crystallite further increases and attains a value of 13 nm (Fig. 3(a)). It may be noted that the refinement of grain size below ferromagnetic exchange length, L 0 (46 nm for equiatomic FeCo alloy 7 ), is necessary to obtain superior soft magnetic properties in such alloys. 25 Furthermore, the decrease in lattice micro-strain with temperature (Fig. 3(b)) indicates improved crystalline quality with increasing crystallite size of FeCo nanocrystalline phase. The lattice parameter of the nanocrystalline phase, as calculated from the results of XRD measurements, initially exhibit a small decrease (0.3%) with annealing temperature and then becomes almost constant for annealing temperatures greater than 823 K (Fig. 4). The decrease in lattice 10 15 20 25 30 35 40 45 50 55 0402 923 K (220) (211) (200) or ' -(Fe,Co) Phase 573 K 973 K 873 K 823 K 773 K 723 K 658 K Intensity ( arb. units ) (degrees) Fe 44.5 Co 44.5 Nb 7 B 12 alloy As-quenched (110) 973 K (ii) FIG. 2. (a): XRD patterns of the Fe 40.5 Co 40.5 Nb 7 B 12 alloy after annealing up to the onset of second crystallization stage. For comparison XRD pattern of the as prepared sample is also shown. The beam energy used for these measurements was 15 keV. (b) Inset shows raw image plate x-ray diffraction data for (i) as prepared sample, (ii) annealed at 873 K, and (iii) annealed at 973 K. 113518-3 Gupta et al. J. Appl. Phys. 111, 113518 (2012) [This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to ] IP: 150.214.182.116 On: Wed, 27 Jan 2016 15:02:07 parameter is correlated with the increase in crystallite size. Generally for such alloy systems, the density of crystalline phase is higher than that of the amorphous phase; therefore as the denser crystalline phase precipitates out, it will experience a tensile stress due to surrounding amorphous matrix. Therefore, the associated strain in crystalline FeCo phase will decrease with increasing crystallite size. This initial decrease in lattice parameter may thus be understood in terms of decrease in the effect of tensile stress exerted by the low density amorphous matrix on the nanocrystalline phase with increase in crystallite size. 26 The ratio of the area of the nanocrystalline phase to that of the sum of the areas of the nanocrystalline and the amorphous phases was used to calculate the crystalline fraction of the nanocrystalline phase. 27 As expected, with increasing crystallization, the crystalline fraction was found to be increasing, and finally at 973 K, crystallization of nanocrystalline FeCo phase completes (full crystallization), and at this temperature, a very good fitting to the data was obtained by Gaussian profile corresponding to the single crystalline phase. From the conventional XRD pattern, it is difficult to detect the correct structure (ordered or disordered) in case of alloys or compounds of the type FeCo, CuZn etc, which differ in atomic number by only one or two units. It is because the superlattice (SL) line intensity is in general proportional to (f A f B ) 2 , where f A and f B are atomic scattering factors of elements A and B, respectively. The atomic scattering factors of element A and element B are very similar for excitation by a standard laboratory source (Cu K a ), and the SL intensity is, therefore, very weak as compared to fundamental line (FL) intensity. 13 However, the correct structure can be obtained when the incident wavelength kis nearly equal to wavelength k K of the K-absorption edge of the one of the scattering element (either A or B). Close to the absorption edges of the constituents (Fe or Co in case of FeCo alloy), the atomic scattering factors of the scattering elements get significantly modified due to the contribution of anomalous dispersion effects. This increases the differences in the atomic scattering factors between the elements, thereby enhancing the intensity of the superlattice reflection relative to that of the fundamental line and hence makes the observation of super lattice reflection possible, in case of an ordered structure. In the complete ordered state of FeCo alloy, each unit cell will contain one Fe atom, at (0, 0, 0) and one Co atom at (1 =2,1 =2,1 =2). Therefore, the structure factor, F¼fFe þfCo½epiðhþkþlÞ; F¼fFe þfCo forðhþkþlÞeven; F¼fFe fCo forðhþkþlÞodd:(2) The ordered structure thus produces diffraction lines for all values of hkl, and therefore, it resembles the diffraction pattern of a simple cubic substance. For a fully ordered alloy, intensity of SL line (100) relative to that of the fundamental line (110) can be estimated as intensityðSLÞ=intensity ðFLÞ¼p1 sin2hcos h  ðfFe fCoÞ2 ðfFe þfCoÞ2 ! (3) where p is the multiplicity factor and the trigonometric terms correspond to the Lorentz factor. When kis near k k , the atomic scattering factor would be F¼f0þDf;(4) where f0is the atomic scattering factor when kkkand Df is change in f0when kis near kk. Here, k/k k is 1.00 for the Fe atom and 1.08 for Cobalt atom, and the value of Dfis then about 5.0 for Fe atom and 2.7 for Cobalt atom; 13 therefore at a 2hvalue of 35.71 o (where the SL peak is observed experimentally), the intensity of the SL reflection would be proportional to 10.4 including the multiplicity factor and Lorentz factor. The ratio of the SL reflection relative to FL reflection is evaluated to be 0.012. However, this ratio corresponds to 0.00035 when kkk. In the present case, anomalous XRD measurements was performed at Fe K-edge (7.112 keV) for the specimen annealed at 823 K for 750 800 850 900 950 1000 -6.0x10-4 0.0 6.0x10-4 1.2x10-3 1.8x10-3 2.4x10-3 3.0x10-3 8 10 12 14 (b) Lattice strain Temperature (K) Lattice strain D (nm) Crystallite size (a) FIG. 3. Variation of crystallite size (D) and lattice micro-strain (e)ofthe FeCo nanocrystalline phase as a function of increasing annealing temperature. 750 800 850 900 950 1000 2.846 2.848 2.850 2.852 2.854 2.856 2.858 2.860 2.862 2.864 2.866 Temperature (K) FIG. 4. Variation in lattice constant with increasing annealing temperature. 113518-4 Gupta et al. J. Appl. Phys. 111, 113518 (2012) [This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to ] IP: 150.214.182.116 On: Wed, 27 Jan 2016 15:02:07 detection of correct structure (ordered or disordered) of Fe 40.5 Co 40.5 Nb 7 B 12 alloy and is shown in Fig. 5. Presence of weak (100) super-lattice reflection along with the (110) fundamental reflection indicate the presence of atomically ordered FeCo nanocrystalline phase having B2 structure. The diffraction pattern was fitted by a superposition of three Lorentzian peaks: one corresponds to (100) SL reflection and the other two correspond to amorphous and nanocrystalline phases of (110) reflections. The integrated intensity ratio of (100) SL reflection relative to that of (110) reflection is estimated as 0.0117. This is in good agreement (within 2.5%) with the calculated intensity ratio. It may be noted that the ordering of a-FeCo nanocrystalline phase in such alloys depends on Fe, Co composition 28,29 as well as on the preparation conditions. 30 Further, XRD measurements also provide detailed information about the structural changes occurring in the remaining amorphous grain-boundary phase. In the amorphous phase, the atoms do not have a long range order and only short range order exists. The short range order can be expressed by a radial distribution function 4pr2qðrÞsuch that 4pr2qðrÞdr is the average number of atoms centers between rand rþdr from the centre of an average atom. 31 The radial distribution function is given by 4pr2qðrÞ¼4pr2qoðrÞþ2r pð1 0 kiðkÞsinðrkÞdk (5) where qoðrÞis the average density in atoms/A ˚ 3 ,k¼4psinðhÞ k is reciprocal lattice vector (A ˚ 1 ), and iðkÞis the modified scattering intensity. It may be noted that the expression above is valid for the amorphous sample containing only one kind of atom. In the FeCoNbB alloy under study, Fe and Co have very close atomic numbers and they form about 81% of composition, B forms 12% of composition but it is a poor x-ray scatterer and Nb forms only 7% of the composition, whose contribution in scattering is small and thus ignored. Considering only one kind of atom, the radial distribution function has been calculated for the as-quenched as well as annealed Fe 40.5 Co 40.5 Nb 7 B 12 alloy before the onset of crystallization. For all the samples in the pure amorphous state, TM-TM distance is found to be nearly identical and equals to 2.69 A ˚, where TM denotes transition metal. Figure 6 shows the representative radial distribution function (RDF) for the sample annealed at 658 K, where the alloy remains in the pure amorphous phase. In general, the position of the first broad maximum can be used to calculate the distance between the nearest neighbor atoms (X m ) in the amorphous phase using the relation, Ck¼2Xmsinh, where Cis a constant and generally taken as 1.23. 32 Upon comparison of the transition metal-transition metal (TM-TM) distance as obtained from the RDF, the value of Cwas found to be 1.31 for the present set of experiments. This has been used to estimate the TM-TM distance, from the amorphous contribution, in the partially crystalline samples. Figure 7gives the variation in the average TM–TM nearest neighbour distance in the amorphous phase, as obtained from the position of the broad amorphous peak. Before nanocrystallisation, the TMTM distance decreases slightly, this could be understood in terms of structural relaxation, which is expected to result in annihilation of defects and excess free volume and thus should result in a decrease in the TM-TM nearest neighbor distance. A monotonous increase in the TM–TM distance upon nanocrystallisation may be attributed to enrichment of the amorphous phase in metalloid. 33 It may be noted that the x-ray scattering from the metalloid atoms is significantly 30 40 50 60 E= 7.112 keV (Fe K-edge) Å Intensity ( arb. units ) deg. (110) (100) ' -FeCo Phase FIG. 5. SR-XRD measurement at 7.112 keV confirms the ordered a0-Fe, Co phase by the presence of (100) super lattice reflection. FIG. 6. Radial distribution function of the Fe 40.5 Co 40.5 Nb 7 B 12 alloy in its pure amorphous state. 300 400 500 600 700 800 900 1000 0.60 0.65 0.70 0.75 0.80 0.85 0.90 2.67 2.68 2.69 2.70 2.71 2.72 Temperature (K) width of amorphous halo Xm FIG. 7. Average TM–TM nearest neighbour distance and width of the amorphous halo as a function of annealing temperature. 113518-5 Gupta et al. J. Appl. Phys. 111, 113518 (2012) [This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to ] IP: 150.214.182.116 On: Wed, 27 Jan 2016 15:02:07 weak as compared to that from the TM atoms. The width of the amorphous halo of the XRD pattern, which is a measure of the degree of disorder in the amorphous phase, exhibits an interesting behavior with annealing temperature, as shown in Figure 7. This behaviour may be understood as follows. Initially, annealing in the temperature range 573–823 K causes a decrease in the disorder. This may be connected to structural relaxation in the amorphous phase, which results in an increased topological order in the system. Annealing at higher temperatures results in a sharp increase in the disorder and then shows a rapid decrease. Initially, with increasing crystallization, as metalloid is expelled out of nanocrystalline grains, it will form a concentration gradient around the crystallites. However, for higher annealing temperature metalloid distributes rather uniformly throughout the amorphous phase, resulting in a relatively homogeneous distribution. 33 This redistribution affects the magnetic properties of the amorphous phase and the soft magnetic properties of the nanocrystalline alloy. C. Transmission electron microscopy The microstructure and selected area electron diffraction patterns of the sample in different stages of transformation are shown in Figs. 8(a) and 8(b). The observed grain sizes of the bcc-phase (Fig. 8(a)-insets (i)–(iii)) are in accordance with the values determined from XRD analysis. TEM images show that there is no significant size evolution of the bccphase particles with annealing temperature. However, the particles seem to be distributed in a not completely random manner (see images in Fig. 8(a)-insets (i) and (ii)); this effect is enhanced in the stages prior to the formation of the (FeCo) 23 B 6 type phase and possibly reflects the mediumrange order, which may be a precursor to the formation of complex (FeCo) 23 B 6 phase. The particles of this phase, especially in the final stage of its formation, seem to consist of several grains and range up to 300 nm in size. No preferential orientation of the fcc-phase with respect to the ribbon surface has been observed. It is to be noted that the particles of bccFIG. 8. (a) Evolution of morphology during transformation from amorphous state (bright field images): final stages of nanocrystallisation, sample annealed at 873 K/1 h (i) and 923 K/1 h (ii) initial stages of formation of (FeCo) 23 B 6 phase, sample annealed at 948 K/1 h (iii) completely crystallized sample annealed at 973 K/1 h (iv) with fully developed grains of (FeCo) 23 B 6 . (b) Left-diffraction pattern from the sample annealed at 923 K/1 h showing the presence of bcc-Fe (Co) phase (indices in the central part of the image) with traces of amorphous remains. Right-diffraction pattern from the central particle in (a) (iii) (973K/1 h, bright field) showing the presence of fccphase of the (FeCo) 23 B 6 type (zone axis 111) together with rings of bcc-Fe (Co). 113518-6 Gupta et al. J. Appl. Phys. 111, 113518 (2012) [This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to ] IP: 150.214.182.116 On: Wed, 27 Jan 2016 15:02:07 Fe (Co) retain their small size even after full crystallization of the sample. D. Mo¨ssbauer measurements Mo¨ssbauer spectroscopy has been used as a complementary tool for the determination of the structure and magnetic properties of the Fe 40.5 Co 40.5 Nb 7 B 12 alloy as a function of isochronal annealing. Figure 9represents Mo¨ssbauer spectra of the alloy along with the fittings in the as-quenched state as well as after isochronal annealing at various temperatures up to 973 K. In the present study, the fitting of the Mo¨ssbauer spectra has been performed using the NORMOS program, which allows a simultaneous fit of several crystalline spectra with possible addition of an amorphous phase. 34 The asquenched alloy consists of a broad sextet typical of amorphous phase (Fig. 9). The alloy remains in fully amorphous state only up to the annealing temperature of 658 K, clear evidence of the onset of crystallization was observed after annealing at 723 K (Fig. 9). The Mo¨ssbauer spectra of the alloy in as-quenched state as well as after annealing (up to the temperature of 723 K) were analyzed using NORMOS (DIST) program, in terms of a distribution of hyperfine fields representing the distribution of local environment around the Fe atoms. In the as quenched state, the Mo¨ssbauer spectrum has been fitted closely by the average magnetic hyperfine field (hB hf i) value of 23.8 60.2 T for an amorphous sextet. Upon annealing, the hB hf ivalue increases, reaching a value of 24.2 60.1 T at 723 K. This suggests an increase in topological ordering in the system, which corroborates the SRXRD results. Figure 10 presents resultant hyperfine field distribution of the alloy in the amorphous phase (up to 658 K) and upon evolution of the nanocrystalline phase (at 723 K). The Hyperfine field distribution in the amorphous phase consists of two broad humps: A broad hump with a maximum of hB hf iat around 25 T and a smaller hump with a maximum of hB hf iaround 10 T. The smaller hump represents the Fe atoms having Nb nearest neighbors (NN). It is known that the presence of Nb in the first coordination shell of Fe significantly reduces the hyperfine field of Fe atoms. 35 In the amorphous state of the alloy P (hB hf i) of the peaks around 25 T and around 10 T decrease with annealing temperature (Fig. 10). These changes correspond to the elements redistribution in totally amorphous alloy during the structural relaxation. Since Mo¨ssbauer measurement shows only the nearest environment of Fe atoms, this spatial distribution of elements during compositional fluctuation can be interpreted as a decrease in the number of Fe-Fe NN as well as Fe-Nb NN. This suggests that both the on-site moment (Fe-Fe) and the surrounding moments (Fe-Nb) are decreasing with increase in annealing temperature. Additionally, ordering in the peaks at 25 T and 10 T is clearly seen by the decrease in the width of hB hf idistribution with annealing temperature. Upon annealing at 723 K, an additional hump around 34 T is clearly seen, which gives a signature of the onset of ordering of the nanocrystalline a0-FeCo phase. XRD and DSC measurements also support this observation. The Mo¨ssbauer spectra of the alloys annealed at and above 723 K show clear evidence of the crystallization (Fig. 9). Therefore, the detail fitting of the spectra after crystallization was done using NORMOS (SITE) by considering two overlapping sextets: a sharp sextet corresponding to the bcc-FeCo nanocrystalline phase and a relatively broad sextet indicating the remaining amorphous phase. It may be noted that, in order to get best fitting in crystalline state of the alloy, an additional doublet corresponding to Nb-rich non magnetic phase was also included in the fitting model for alloys annealed at and above 773 K. Evidence of the formation of such non magnetic niobate phase was also observed after annealing at 773 K in earlier studies in the nanocrystallisation stage. 36 The fitting of the Mo¨ssbauer spectra after annealing at 773 K suggests that nearly 46% of Fe resides in the amorphous state. The presence of the hyperfine field components of 34.5 60.1 T shows the presence of bcc-FeCo nanocrystalline phase. 15 The volume fraction of the non-magnetic component is 14.8% with the quadrupole splitting of 1.56 60.05 mm/s. It may be noted that the line widths of the quadrupole doublet as obtained from the fitting is very large; -8 -6 -4 -2 0 2 4 6 8 Transmission (arb. units) Velocity (mm/s) As-quenched 573 K 723 K 658 K 773 K 823 K 873 K 973 K 923 K FIG. 9. Mo¨ssbauer spectra along with the fittings of the Fe 40.5 Co 40.5 Nb 7 B 12 alloy as a function of increasing annealing temperature. 5 1015202530354045 0.000 0.008 0.016 pristine 573 K 658 K 723 K P (B HF ) Average B HF (T) Amorphous state FIG. 10. Hyperfine field distribution of Fe 40.5 Co 40.5 Nb 7 B3 12 alloy up to the annealing temperature of 723 K. 113518-7 Gupta et al. J. Appl. Phys. 111, 113518 (2012) [This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to ] IP: 150.214.182.116 On: Wed, 27 Jan 2016 15:02:07 this suggests that Nb-rich phase is in a disordered state. This disorder results in the distribution of quadrupole splitting. Further annealing at higher temperatures of 823 K and 873 K causes the specimen to consist of FeCo nanocrystalline phase with a crystalline fraction of 42% and 47%, respectively. However, the spectrum has been best fitted with crystalline sextets having internal magnetic field hB hf i of 34.6 60.1 and 34.5 60.1 T, respectively. The volume fraction of the non-magnetic component was also found to be increasing and reaches to 18.4% after annealing at 873 K. On the other hand, its quadrupole splitting decreased to 0.71 60.04 mm/s. After annealing at 923 K, the spectrum was best fitted with hB hf ivalue of 34.2 60.1 T, corresponding to FeCo nanocrystalline phase, with increased crystalline fraction of 54%. The volume fraction of non-magnetic component becomes 19%, with quadrupole splitting of 0.70 60.02 mm/s. Annealing at a temperature of 973 K results in the complete crystallization of the alloy. The best fitting of the spectrum has been obtained with hB hf iof 34.3 60.1 and 28.2 60.1 T corresponding to FeCo and (FeCo) 23 B 6 , phases, respectively, 22,37 no trace of any remaining amorphous matrix was observed. However along with nanocrystalline FeCo phase and boride phase, the presence of non-magnetic phase was still observed with volume fraction of 16.5% and quadrupole splitting of 0.53 60.07 mm/s. Decrease of quadrupole splitting with annealing temperature indicated possible ordering of the Nb-rich non-magnetic phase which can be attributed to (FeCo) 3 Nb phase. 36 Furthermore, the A23 parameter (the area ratio of the second and third lines of the Mo¨ssbauer spectra) gives information about the orientation of the magnetic moment. It was found that the A23 parameter for as-quenched alloy is 2.6 60.1, which suggests that orientation of spins is not random rather they have some preference for the in-plane orientation. The A23 parameter decreases with annealing and becomes 1.2 60.1 upon annealing at 923 K, which indicates that the orientation of spins is preferentially out-of plane. Upon further annealing at 973 K, A23 parameter becomes almost 2.0 60.1, which shows that spins are randomly oriented. Thus, upon annealing, magnetic moments are changing their orientation from in-plane to out-of-plane to random. 38 It may be noted that studied alloy exhibit strong perpendicular magnetic anisotropy in the annealing temperature range of 723 K-923 K (first transformation stage). In the mentioned temperature range, the alloy has peculiar two phase microstructure consisting of FeCo nano-crystals and the remaining amorphous phase, as otherwise, spins are oriented either in-plane or random. The ordered a0-FeCo phase has lower values of hB hf ias compared to disordered a-FeCo phase (33.6 T and 35.7 T, respectively). 15,29 In the present case, hB hf ivalue of the nanocrystalline FeCo phase is ranging from 34.2 T to 34.6 T. It is clear that low field contributions (close to 33 T) are predominant, as is found in the FeCo atomically ordered structure. 28 In the second crystallization stage (973 K), as depicted by Mo¨ssbauer measurements, the coexistence of ordered a0-FeCo nanocrystalline soft magnetic phase and hard magnetic (FeCo) 23 B 6 ,phasehasalsobeenconfirmedwithSR-XRD measurements. Mo¨ssbauer measurements also support the presence of Nb rich non-magnetic phase in nano-crystalline specimens annealed at the temperature greater than 723 K. However, the presence of the same has not been detected through XRD measurement up to 923 K. This may be attributed to smaller crystallite size and/or high degree of disorder. 39 It is important to note that the width of hyperfine field distribution of Mo¨ssbauer spectrum depends mainly on the chemical short range order; thus, it can be utilized to identify phases whose dimensions are too small for XRD measurements. 40 Thus in concurrence with anomalous diffraction measurements, Mo¨ssbauer measurements also supports the nanocrystalline phase in Fe 40.5 Co 40.5 Nb 7 B 12 alloy has an atomically ordered a0-FeCo (B2) structure. 41 E. Thermomagnetic measurements TMG measurements were performed to detect the crystallization of ferromagnetic phases in Fe 40.5 Co 40.5 Nb 7 B 12 alloy. Figure 11 shows the temperature dependence of the low field (20 mT) magnetization. For comparison, DSC plot is also included in the same figure. Upon heating, there is a first decrease in magnetization (M) due to approaching the Curie temperature (T c ) of the initial amorphous phase. However, it does not fall to zero because the nanocrystallisation of bcc-(Fe, Co) phase takes place before T c is reached (as evidenced by the DSC record and the evolution of the XRD spectra). The onset of nanocrystallisation produces an increase in magnetization due to the appearance of the ferromagnetic bcc-(Fe, Co) phase, which has a larger Curie temperature. The overlapping of those two competing effects (decrease in M due to the Curie temperature of the amorphous phase and increase in M due to the formation of the ferromagnetic phase) alters the shape of the M (T) curve, which decreases more slowly than a typical ferroparamagnetic transition. The increase of the crystalline fraction of the nanophase produces a larger increase in M. After reaching a maximum, magnetization decreases further. This decrease could be either due to a Curie transition or due to further crystallization of the alloy, where the existing bcc600 700 800 900 1000 1100 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 -2 -1 0 1 2 3 4 M (arb. units) Temperature ( K ) Heat flow (mW) FIG. 11. Temperature dependence of the low field magnetization of as– quenched Fe 40.5 Co 40.5 Nb 7 B 12 alloy (upon heating) along with DSC scan up to first crystallization stage. 113518-8 Gupta et al. J. Appl. Phys. 111, 113518 (2012) [This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to ] IP: 150.214.182.116 On: Wed, 27 Jan 2016 15:02:07