# Study of Structure and Magnetic Properties of SmCo10 Alloy Prepared by Different Methods

Authors: Xiang Chi; Ying Li; De-quan Er; Xu-hao Han; Xiu-li Duan; Ji-bing Sun; Chun-xiang Cui
Journal: Advances in Materials Science and Engineering
 (2018)

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## Abstract

In this paper, the phase compositions, microstructures, atomic structures, and magnetic properties of Co-rich SmCo10 alloys prepared by arc-melting, annealing, and melt-spinning were studied. It was found that as-cast alloy is composed of Th2Zn17-type Sm2Co17 matrix with an average grain size of ∼45 μm accompanied by lamellar eutecticum (consisting of α-Co and Th2Zn17-type Sm2Co17) distributed at grain boundaries. The annealed alloy has the same phase composition and phase distribution as the as-cast alloy except that the average grain size decreases to ∼35 μm, and the eutecticum has more homogeneous distribution on the matrix. Simultaneously, the atomic structure of Sm2Co17 is unchanged with only a decrease in structural disorder after annealing. The as-spun ribbons are composed of ∼95.5 vol.% TbCu7-type Sm2Co17 and the rest α-Co. The short rod-shaped α-Co grains are intermittently distributed at the grain boundaries of equiaxed Sm2Co17 grains. The as-spun ribbons show a higher coercivity, and the annealed alloy shows maximum magnetization. The structural parameters were calculated by Extended X-ray Absorption Fine Structure (EXAFS), and the relationship between structure and magnetic properties was discussed in detail.


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## Body

## 1. Introduction

Sm-Co magnetic materials have been applied in various areas due to their excellent magnetic properties, especially in high-temperature field [1]. The Curie temperature (Tc) of the Sm-Co phase improves with increasing Co concentration. For example, the Tc of SmCo2, SmCo3, Sm2Co7, Sm5Co19, SmCo5, and Sm2Co17 are 226.7 K, 590 K, 713 K, 830 K, 1020 K, 1195 K, respectively [2], indicating that the Sm2Co17 alloy possesses more excellent magnetic thermal stability. However, the pure binary Sm2Co17 alloy has poor magnetic properties. Song et al. [3] have reported that the Sm2Co17 alloy prepared by induction melting shows a rhombohedral Th2Zn17-type Sm2Co17 (2:17R, for short) structure, and the as-quenched Sm2Co17 alloy has a hexagonal TbCu7-type Sm2Co17 (1:7H, for short) structure. The Sm2Co17 alloy with 2:17R or 1:7H structure almost has no coercivity and remanence. However, they found that when the Sm2Co17 alloy was prepared by high-energy ball milling followed by spark plasma sintering (SPS), it consisted of hexagonal Th2Ni17-type Sm2Co17 (2:17H) structure, whose coercivity and remanence reached 4.19 kOe and 5.81 kGs, respectively. As is well known, Sm(Co,Fe,Cu,Zr)z magnets have large anisotropy fields and high Curie temperatures, which make them ideal candidates for applying in high-temperature environments. However, the high coercivity in these magnets depends on a complex heat treatment consisting of homogenization at high temperatures (1100–1200°C) followed by aging treatment for several hours at the temperature range of 800–850°C and slow cooling to 400°C [4]. References [5–9] give that the cellular microstructure, consisting of rhombohedral Sm2(Co,Fe)17 cells surrounded by a Cu-rich hexagonal Sm(Co,Cu)5 cell boundary phase, superimposed on a coherent and thin Zr-rich lamellar phase parallel to c-axis, is formed after the complex heat treatment process. Among them, the Sm2(Co,Fe)17 cells are responsible for the saturation magnetization, while the Sm(Co,Cu)5 at cell boundaries pins the domain walls. Additionally, the existence of the Zr-rich lamellar phase promotes the segregation of Cu in cell boundaries by providing easy diffusion paths, which results in a significant difference in domain wall energy between Sm2(Co,Fe)17 and Sm(Co,Cu)5, improving the domain wall pinning effect. Durst et al. [6] reported that, by homogenizing at 1160°C and subsequent aging at 840°C for 24 h followed by a slow cooling to 400°C in 3 h, the Sm(Co,Fe,Cu,Zr)7.6 magnet attains a coercivity of 35 kOe. However, the coercivity of the magnet decreases to only 0.2 kOe when the process of slow cooling is omitted. The similar phenomenon is also reported by Gutfleisch et al. [10], who found that the coercivity of Sm(Co0.784Fe0.100Cu0.088Zr0.028)7.19 magnet reached ∼30 kOe when slow cooling (0.7 K/min) from the aging temperature of 850°C was adopted. However, when the magnet was quenched from the aging temperature, its coercivity reduced to less than 1 kOe due to the coarsening of domains in 2:17R cells. The change of domain structure is attributed to the change of Cu content in the 1 : 5 cell boundary phase, resulting in change of the exchange coupling between 2:17R cells.Chen et al. [11] found that the coercivity of SmCox (x = 8.5–10.0) having a Sm2Co17/Co microstructure prepared by ball milling and subsequent annealing is close to some grades of Sm2TM17 (TM = Co, Fe, Cu, and Zr) magnets although the SmCox alloys contain no precipitation hardening elements, such as Cu and Zr. Among them, the SmCo10 alloy has the highest coercivity of 4.0 kOe. They explained the coercivity mechanism of the Sm2Co17/Co system by domain wall pinning effect resulting from the cobalt precipitate or the grain boundaries of the Sm2Co17 phase.It seems that the Co-rich Sm-Co alloys with Sm2Co17/Co two-phase microstructures have potentially good hard magnetic properties. However, there are few reports on this kind of alloy. In this paper, we comparatively studied the microstructures and magnetic properties of SmCo10 alloys at as-cast, annealed, and as-spun states. In addition, we report an Extended X-ray Absorption Fine Structure (EXAFS) method to analyze their atomic structures, which has not been reported before.


## 2. Materials and Methods

The Co-rich alloy with a nominal composition of SmCo10 was prepared using pure Sm and Co, while extra 10 wt% Sm was added to compensate for the vaporization of Sm during melting. The parent alloy was arc-melted four times and cooled to room temperature (RT) by water-cooled copper crucible to obtain the as-cast bulk alloy (for short as-cast alloy). Then parts of as-cast alloy was annealed at 820°C for 120 min to obtain the annealed bulk alloy (for short annealed alloy), while the rest was melt-spun at a roller speed of 40 m/s to obtain as-spun ribbons.Three SmCo10 alloys were ground into powders in ethanol. The phase compositions of samples were analyzed by Rigaku Dmax 2500 PC X-ray diffractometer (XRD) with Cu Kα radiation and a graphite monochromator. The phase morphology and composition distribution were observed by FEI Inspect S50 scanning electron microscope (SEM) with Everhardt-Thornley Second Electron Detector. TECNAI G2 F20 transmission electron microscopy (TEM) was used to observe the microstructure of as-spun ribbons. Ribbon specimens for TEM observation were prepared by ion milling. The measurements of magnetic properties were carried out on LakeShore 7407 vibrating sample magnetometer (VSM) with a maximum field of 20 kOe. To obtain ideal coercivity performances, all samples were magnetized in a 50 kOe pulsed magnetic field before VSM measurement. The as-cast and as-annealed alloys were prepared to bond magnets before measuring the hysteresis loops, while the ribbons were directly tested with the magnetization direction parallel and vertical to the external field direction, respectively. The EXAFS experiments were performed at the 4B9A beamline of the Beijing Synchrotron Radiation Facility (BSRF). The storage ring runs at 2.5 GeV with a maximum electron current of about 250 mA. The energy range of the incident X-ray is tunable from 4 to 25 keV by fix-exit Si (111) double crystal monochromator. The absorption edge of standard metal foils is used to calibrate the X-ray energy. Samples were ground into fine powers and then smeared on Scotch tapes. Sm L3-edge (6716 eV) EXAFS spectra were collected at energy range from 6516 eV to 7616 eV at RT in transmission mode using ionization chamber.


## 3. Results and Discussion

### 3.1. Phase Analysis

Figure1 shows the XRD patterns of SmCo10 powders at different states. It suggests that as-cast and annealed alloys are composed of the Th2Zn17-type Sm2Co17 phase (for short 2:17R) with space group (S.G.) of R3¯m, and a little pure α-Co (face-centered cubic (fcc) structure, S.G. Fm3m). The as-spun ribbons are composed of the TbCu7-type Sm2Co17 phase (for short 1:7H) with S.G. of P6/mmm and a little pure α-Co. However, the more detailed differences in the atomic structure of SmCo10 alloys at different states cannot be analyzed by XRD.Figure 1
XRD patterns of SmCo10 alloys at different states. (a) As-cast alloy. (b) Annealed alloy. (c) As-spun ribbons.
(a)
(b)
(c)In fact, the Sm2Co17 phase can exist in Th2Ni17-, TbCu7-, or Th2Zn17-type structure. There are four types of powder diffraction files (PDF) of the Sm2Co17 phase, whose numbers are 351368, 260484, 657762, and 190359, respectively. The Sm2Co17 with number 351368 belongs to the Th2Ni17-type Sm2Co17 phase (for short 2:17H) with S.G. of P63/mmc (194) and the lattice constants are a = 0.8373 nm, c = 0.8165 nm, and c/a = 0.9752. The 2:17H is very unstable at RT, and only the single Sm2Co17 phase alloy with very fine grains (∼15 nm) has the stable 2:17H structure at RT. The main reason for this is that the Gibbs free energy of 2:17H is lower than that of 2:17R when its grain size reduces to a specific value [3]. Therefore, the nonexistence of the 2:17H phase at three states of SmCo10 alloys may be attributed to the coarse Sm2Co17 grains. Moreover, the PDF with number 190359 illustrates that Sm-Co alloys with 87.5–89.4 at% Co show a 2:17R structure with the lattice constants of a = 0.8402 nm, c = 1.2172 nm, and c/a = 1.4487 after homogeneously annealed at about 900°C, that is to say, the 2:17R phase is stable at RT. On the other hand, the other two Sm2Co17 with number 260484 and number 657762 belong to the 1:7H structure, which both have the same lattice constants (a = 0.4856 nm, c = 0.4081 nm, and c/a = 0.8404). The PDF with number 260484 indicates that the 1:7H phase can only exist above 1320°C. At the same time, the sample in PDF with number 657762 was melted in vacuum arc furnace, followed by annealing at 1320°C for 2 h and then being cooled in liquid nitrogen. Both PDFs declare that the Sm2Co17 with 1:7H structure is a high-temperature phase, and the rapid cooling can inhibit the transformation from 1:7H to 2:17R. So the extremely fast cooling in melt-spinning process impedes the 1:7H→2:17R transformation and results in the 1:7H phase retained in as-spun ribbons. However, the as-cast SmCo10 alloy was cooled by water-cooled copper crucible, whose cooling capacity is far less than that of liquid nitrogen, so the as-cast alloy is composed of 2:17R and α-Co. Since the annealing temperature is below 1320°C and the cooling rate is very low, no phase change occurs, but the microstructure of the as-cast alloy is homogenized during annealing process. Although the allotropic transformation of α-Co→ε-Co (close-packed hexagonal (hcp), S.G. P63/mmc) can occur at about 420°C, α-Co precipitated in grain boundaries may refuse the allotrope transformation. Therefore, the annealed SmCo10 alloy is still composed of 2:17R and α-Co. Moreover, by comparing Figures 1(a)–1(c), the diffraction intensity of the as-spun ribbons is significantly lower than that of as-cast and annealed alloys, meaning that the atomic structure in as-spun ribbons has a higher disorder.Figures1(a) and 1(b) show that the maximum peak intensities of 2:17R and α-Co phases in as-cast alloy are 2107 CPS and 753 CPS, while those in annealed alloy are 1926 CPS and 688 CPS, respectively. Therefore, the mass fractions of 2:17R and α-Co phases in as-cast and annealed alloys are equal due to the almost equal ratios of 2107/753 (2.798) and 1926/688 (2.799). Furthermore, the actual lattice parameters of 2:17R in as-cast (a = 0.83954 nm, c = 1.22374 nm, c/a = 1.4576, and V (cell volume) = 0.7469 nm3) and annealed (a = 0.83947 nm, c = 1.22361 nm, c/a = 1.4576, and V = 0.7467 nm3) alloys are obtained by XRD refinement using Jade software, which are almost the same. The V of 2:17R is 0.3763% larger than that of standard 2:17R (a = 0.8402 nm, c = 1.2172 nm, c/a = 1.4487, and V = 0.7441 nm3). These results indicate that a small amount of Co is excessively dissolved in 2:17R and hence results in a lattice expansion, and the content of over-dissolved Co is almost unchanged after annealing. However, Figure 1(c) shows that the mass fraction of the α-Co phase in as-spun ribbons is smaller due to the larger ratio of the maximum peak intensity of 1:7H to α-Co (1743 CPS/600 CPS = 2.905). And the refinement result for lattice parameters of 1:7H (a = 0.48605 nm, c = 0.41083 nm, c/a = 0.8452, and V = 0.0841 nm3) shows that its V is 0.9604% larger than the standard one (a = 0.4856 nm, c = 0.4081 nm, c/a = 0.8404, and V = 0.0833). It means that more Co is dissolved excessively in 1:7H than 2:17R due to the larger lattice expansion rate (0.9604%). Simultaneously, the smaller content of the α-Co phase in as-spun ribbons also confirms that 1:7H contains more supersaturated solid solution of Co than 2:17R in as-cast and annealed alloys.


### 3.2. Microstructure Analysis

Figure2 shows the SEM images of SmCo10 alloys in different states. It can be seen from Figure 2(a) that as-cast alloy consists of the gray matrix phase with an average grain size of ∼45 μm and the bright lamellar phase discontinuously distributed on the matrix. According to the Sm-Co phase diagram [12], when liquid SmCo10 alloy with 90.9 at% Co is cooled, the proeutectic 1:7H phase precipitates first from the liquid; subsequently, the residual liquid transforms to the lamellar eutecticum with 1:7H/α-Co atomic ratio of about 8/3 (mass ratio is ∼3.47) through the eutectic reaction at 1325°C. As the temperature decreases, the transformation from 1:7H to 2:17R occurs at about 1300°C, while Co allotropic transformation does not occur. Figures 2(d) and 2(e) show the energy spectra of regions 1 and 2, which correspond to the matrix and lamellar phases, respectively, in Figure 2(a). It suggests that the lamellar areas in Figure 2(a) correspond to the eutecticum 2:17R + α-Co, where the bright particles are α-Co, and the rest of the gray part is 2:17R, same as the matrix phase. XRD analysis has given that the contents of the 2:17R and α-Co phases in as-cast and annealed alloys are almost same and the supersaturated Co in 2:17R is few. Therefore, the atomic percentages of the 2:17R and Co phases in as-cast and annealed SmCo10 alloys can be calculated to be ∼86.7 at% and ∼13.3 at% (mass percentages are ∼89.4 wt% and ∼10.6 wt%), respectively, according to the Sm-Co phase diagram [12].Figure 2
SEM images of SmCo10 alloys. (a) As-cast alloy. (b) Annealed alloy. (c) As-spun ribbons. (d) Energy spectrum of region A in (a). (e) Energy spectrum of region B in (a).
position: -105pt
(a)
position: -105pt
(b)
(c)
(d)
(e)Comparing Figure2(b) with Figure 2(a), we see that, in annealed alloy, the microstructure morphology is almost the same, except that the average grain size of 2:17R decreases to ∼35 μm, compared with the as-cast one. The decrease in the average size of 2:17R grains is due to the more homogeneous distribution of eutecticum 2:17R + α-Co caused by annealing. In contrast, a dramatical change occurs in the microstructure of as-spun ribbons, as shown in Figure 2(c), where the continuous grid-like bright stripes and the gray grains may be α-Co and 1:7H phases, respectively.In order to further determine the phase composition, phase distribution and crystallization process of the as-spun ribbons, Figure3, shows the TEM images of as-spun ribbons. It can be seen that SmCo10 ribbons consist of approximately equiaxed grains with an average size of ∼1 μm and the short rod-shaped secondary phase with the average length and width of ∼400 nm and ∼100 nm distributed intermittently at grain boundaries, which is different from the continuous grid-like bright morphology in Figure 2(c).Figure 3
TEM images and EDS spectra of as-spun ribbons. (a) TEM image. (b) Amplified image of region A in (a). (c) Amplified image of region B in (b). (d) Amplified image of region C in (b). (e) Energy spectrum of Position 1 in (b). (f) Energy spectrum of Position 2 in (b).
(a)
(b)
(c)
(d)
position: -60pt
(e)
(f)Figure3(b) is a magnification of the region A in Figure 3(a), and the high resolution images of Figures 3(c) and 3(d) correspond to regions B and C in Figure 3(b), respectively. The results of fast Fourier transform (FFT) show that both the left (L) and right (R) regions in Figures 3(c) and 3(d) correspond to the 1:7H phase, and there is no extra grain boundary phase. Additionally, the energy spectra corresponding to Positions 1 and 2 in Figure 3(b) are presented in Figures 3(e) and 3(f), respectively. They demonstrate that the intermittent boundary phase at Position 1 and equiaxed grain at Position 2 are α-Co and 1:7H phases, respectively. Therefore, the grid-like bright stripes in Figure 2(c) are not a continuous α-Co, but consist of grain boundaries and the intermittent α-Co phase. Additionally, from the numbers and the average sizes of 1:7H and α-Co grains in Figure 3(a), we estimate their volume percentages as ∼95.5% and ∼4.5%, respectively. Combined with their densities (1:7H: 8.564 g/cm, α-Co: 8.788 g/cm) in PDF with number 657762 and number 150806, the mass percentages of 1:7H and α-Co are calculated to be ∼95.4% and ∼4.6%, respectively. Therefore, the content of α-Co is reduced after melt-spinning, which is consistent with the result of XRD analysis.We can see from SEM and TEM images that the as-cast, annealed, and as-spun SmCo10 alloys all form Sm2Co17/Co two-phase microstructure, same as that of mechanically alloyed SmCo10 [11]. Moreover, the melt-spinning inhibits the eutectic transformation of liquid phase and impedes the 1:7H→2:17R transformation, resulting in the metastable 1:7H phase retained in as-spun ribbons.


### 3.3. EXAFS Analysis

As we know, the Rietveld refinement of XRD pattern put forward by Rietveld [13] can be used to analyze the crystal structure. In fact, XRD refinement gives the averaged long-range-ordered structural information. In contrast, EXAFS gives the information of local structure and probes the atomic environment around the interested atom [14]. Therefore, each method can contribute its own share of important information on the structure. In this work, the EXAFS method was used to analyze the slight difference of atomic structure among the three states of SmCo10 alloy.Considering the electronic multiscattering, atomic disorder, many-body effect, and so on, the EXAFS [14–18] function can be generally expressed as(1)χk=∑iNiS02fikkRi2exp−2k2σi2exp−2Riλksin2kRi+δik,where i refers to shell of similar atoms; k refers to the wave vector of photoelectrons; λk is the mean free path of the excited photoelectron; S02 is the amplitude reduction factor of absorbing atom; Ri is the distance from absorbing atom to the neighboring atoms of interest for single-scattering paths and the half-path length for multiple-scattering paths; σi2 is the Debye-Waller factor (i.e., disorder factor) or the mean-square deviation versus Ri; Ni refers to the number of atoms in the ith coordination shell of absorbing atom or the degeneracy for scattering paths; and fik and δik are the theoretical curved-wave amplitude and phase-shift functions of the scattering atom, respectively.Theλk, fik, and δik can be derived from the standard 2:17R (corresponding to Crystal Information File (CIF): 420005 in Inorganic Crystal Structure Database (ICSD)) and 1:7H (ICSD CIF: 102668) structures by FEFF [19], in which Sm is set as the center atom and S02 and σ2 are fixed as 1 and 0.003, respectively, and N and R of atomic shells with a distance of less than 6 Å from Sm are defaulted to the values calculated from the fractional coordinates of Sm and Co in standard 2:17R and 1:7H unit cells (recorded in their CIFs). Therefore, the actual structural parameters needed to be fitted in (1) are only Ni, S02, σi2, and Ri. However, different coordination shells of the absorbing atom and different scattering paths in the same shell may have different structural parameters because of some factors such as scattering atomic species, neighboring atomic environments, and vacancies. Four parameters must be fitted in each scattering path, causing difficulties in parameterization when a multishell approach is performed. Actually, too many structural parameters will result in an inaccurate and unstable result and even make the fitting process unable to be completed [20]. Therefore, it is very important to build up appropriate crystal models and use reasonable surmises and parameter associations for improving the fitting accuracy [21, 22].First,k-weight Sm L3-edge EXAFS kχk (as shown in Figures 4(a1)–4(a3)) was extracted from the original absorption spectra of SmCo10 alloys at different states by Athena software package [23]. Figures 4(a1)–4(a3) show that the amplitude and oscillation frequency of kχk in as-cast and annealed alloys are similar, and no obvious phase difference exists between them. However, for as-spun ribbons, the shape of kχk is slightly different, and especially the amplitude is lower than that for as-cast and annealed alloys. As known from the above XRD and TEM analysis, both as-cast and annealed alloys consist of 2:17R and α-Co, and as-spun ribbons are composed of 1:7H and α-Co. The Co phase cannot contribute to the EXAFS signal because of no Sm inside, and thus kχk reflects only the structural information of 2:17R or 1:7H. Therefore, we conclude that the atomic structures of the 2:17R phase in as-cast and annealed alloys are basically same but they are different from the 1:7H phase in as-spun ribbons. Especially, the 1:7H has a higher structural disorder compared with 2:17R.Figure 4
k
χ
k functions (a1–a3) and FT-kχk functions (b1–b3) of SmCo10 alloys with different states. (a1, b1) As-cast alloy. (a2, b2) Annealed alloy. (a3, b3) As-spun ribbons.In order to separate the contribution of each coordination shell of the absorbing atom from the sum of the contributions of different shells as in (1), kχk was Fourier transformed without phase-shift correction by using a Hanning window with the k-range of 3.2–10 Å−1 for as-cast and annealed alloys and 2.2–7.5 Å−1 for as-spun ribbons. The smaller kmax (7.5 Å−1) of the k-range for as-spun ribbons than that (10 Å−1) for as-cast and annealed alloys is because of the low signal-to-noise ratio (SNR) at further k of greater than 7.5 Å−1 as shown in Figure 4(a3).Figures4(b1)–4(b3) give the Fourier-transformed kχk (FT-kχk) functions. Each peak in every FT-kχk is related to one coordination shell, where the number of neighbors accompanied by their order degree determines the amplitude of this peak, while the position of this peak corresponds to the distance from the absorbing atom [24]. However, compared to the actual interatomic distance, the peak position will shift approximately 0.2–0.5 Å shorter because no phase-shift correction is considered for Fourier transformation [25, 26]. It can be seen that the FT-kχk functions have the highest peaks in almost the same R-range of 1.5–3.5 Å, which illustrates that Co at this R-range gives main contribution on the EXAFS signal; in other words, the shape and position of the highest peak is significantly sensitive to the structural change. For the purpose of getting the subtle difference between the atomic structures of three alloys, the R-range of 1.5–3.5 Å for the FT-kχk should be fitted by single-scattering approximation [27]. For this, the standard 2:17R structure (shown in Figure 5(a)) was used as the initial model for as-cast and annealed alloys and standard 1:7H structure (shown in Figure 5(b)) for as-spun ribbons. The two standard structures are drawn according to their CIFs. It should be noted that Figure 5(b) just shows the averaged effect of atomic positions, the actual occupancy rates of Sm and Co at 1a and 2e sites (fSm(1a) and fCo(2e) for short) are 2/3 and 1/3, respectively. And when 1a sites are occupied by Sm, the neighboring 2e sites will never be occupied by Co [28]. That is to say, 1:7H is a disordered structure, in which some 1a and 2e sites are unoccupied.Figure 5
The standard atomic structures of 2:17R (a) and 1:7H (b). Co(6c), Co(18f), and Co(18h) represent Co at 6c, 18f, and 18h sites in 2:17R; similarly, the Co(2e), Co(2c), and Co(3g) represent Co at 2e, 2c, and 3g sites in 1:7H.
(a)
(b)The detailed atomic arrangement characteristics around Sm(6c) and Sm(1a) in standard 2:17R and 1:7H structures are summarized in Table1. Considering the peak position shift, as well as combining the fitted R-range with Table 1, we chose these single-scattering paths of Sm(6c)-Co(18f), Sm(6c)-Co(6c), and Sm(6c)-Co(18h) to represent the structure of the 2:17R phase, and of Sm(1a)-Co(2c), Sm(1a)-Co(2e), and Sm(1a)-Co(3g) to represent the structure of the 1:7H phase, respectively. In fitting process, for reducing the structural parameters that need to be fitted, we assumed that the N for each selected path is equal to the one of the corresponding path for standard structures as shown in Table 1. The Sm(6c)-Co(18f) and Sm(6c)-Co(6c) paths are merged (their N is added together) as the first Co shell of Sm due to their approximate R (Table 1), while Sm(6c)-Co(18h) represents the second Co shell of Sm for 2:17R. And for 1:7H, Sm(1a)-Co(2c) and Sm(1a)-Co(2e) are merged (their N is added together) as the first Co shell, while Sm(1a)-Co(3g) is regarded as the second Co shell of Sm. The R for the first Co shell of Sm in standard 2:17R is estimated to be 2.812 Å ((2.801 × 6 + 2.877 × 1)/7) according to R and N of Sm(6c)-Co(18f) and Sm(6c)-Co(6c) paths, while that in standard 1:7H is estimated to be 2.811 Å ((2.804 × 6 + 2.873 × 0.667)/6.667) according to R and N of Sm(1a)-Co(2c) and Sm(1a)-Co(2e) paths, as shown in Table 1. The two-shell model is necessary because the peak at R-range of 1.5–3.5 Å contains the contributions of two Co shells with a relatively large difference in R. If the two Co shells are forced to merge into one Co shell, an unreasonable result will be obtained. Moreover, the S02 was set to 0.92 by multiple attempts using Artemis software package [23] to remove the correlation between S02 and σ2 due to the fact that S02 is related to only the absorbing atomic species. The fitting results in k and R spaces are shown in Figure 4.Table 1
The neighboring atomic arrangements around Sm(6c) and Sm(1a) in standard 2:17R and 1:7H structures, respectively.
Phase
Path
Interatomic distance,R (Å)
Neighboring atom number,N
2:17R
Sm(6c)-Co(18f)
2.801
6
Sm(6c)-Co(6c)
2.877
1
Sm(6c)-Co(18h)
3.162
12
Sm(6c)-Sm(6c)
4.057
1
1:7H
Sm(1a)-Co(2c)
2.804
6
Sm(1a)-Co(2e)
2.873
0.667 (2fCo(2e))
Sm(1a)-Co(3g)
3.172
12
Sm(1a)-Sm(1a)
4.081
1.333 (2fSm(1a))Table2 gives the detailed fitting results with errors. The errors mainly arise from the contribution of inherent systematic deviation; moreover, the presence of a few nonsmooth regions in kχk also contributes to the errors. For the 2:17R phase in the annealed alloy, the R of the first and second Co shells of Sm is almost the same, while σ2 of both shells is smaller, compared to those in the as-cast alloy. It means that the 2:17R phase in as-cast and annealed alloys has the same atomic structure, but the 2:17R phase in the as-cast alloy has a higher structural disorder because the nonequilibrium crystallization caused by rapid water-cooled solidification results in an accumulation of internal stress. The annealing does not change the atomic arrangement of 2:17R but only reduces the structural disorder of 2:17R due to the relaxation of internal stress and homogenization of the microstructure by the atomic rediffusion at 820°C. Moreover, compared with the standard 2:17R structure, ΔR is both positive and negative, meaning the solid solution of Co induces the asymmetric distortion of the 2:17R structures in as-cast and annealed alloys, and the annealing at 820°C for 120 min is not enough to make the 2:17R phase reach the standard equilibrium structure. After the as-cast alloy was melt-spun, according to XRD and TEM results, the 2:17R disappeared and the metastable 1:7H was formed in the ribbons. We can see from Table 2 that ΔR for both the first and second Co shells of Sm in 1:7H is positive, and the average ΔR for 1:7H is larger than that for 2:17R, which means that the solid solubility of Co in 1:7H is higher than 2:17R. The over-dissolved Co results in a great atomic off-centered shift and asymmetric volume expansion, so a larger internal stress should be accumulated in 1:7H. As a result, a lower content of pure α-Co in as-spun ribbons is remained compared to that in as-cast and annealed alloys, which is consistent with the results obtained from 3.1 to 3.2 Sections. Additionally, the σ2 of the first and second Co shells of Sm in the 1:7H phase is larger than that in the 2:17R phase in the as-cast alloy. This can be attributed to the greater internal stress and severer lattice distortion caused by more supersaturated solid solution of Co atoms in 1:7H after melt-spinning.Table 2
The fitting results for 2:17R and 1:7H phases in SmCo10 alloys with different states. R0, calculated from the fractional coordinates of Sm and Co in standard 2:17R and 1:7H unit cells represents the distance between Sm and its first and second Co shells in standard 2:17R and 1:7H structures. R factor is the sum-of-squares measure of the fractional misfit. The errors of R, σ2, and R0 are shown behind the “±.”
Phase
Co shells of Sm
R (Å)
σ
2 (Å2)
N
R
0 (Å)
Δ
R
=
R
−
R
0 (Å)
R factor
2:17R in as-cast alloy
First shell
2.985 ± 0.02
0.0050 ± 0.002
7
2.812
0.173 ± 0.02
0.0081
Second shell
3.117 ± 0.03
0.0095 ± 0.003
12
3.162
−0.045 ± 0.03
2:17R in annealed alloy
First shell
2.980 ± 0.03
0.0034 ± 0.001
7
2.812
0.168 ± 0.03
0.0739
Second shell
3.117 ± 0.04
0.0076 ± 0.002
12
3.162
−0.045 ± 0.04
1:7H in as-spun ribbons
First shell
2.872 ± 0.06
0.0133 ± 0.004
6.667
2.811
0.061 ± 0.06
0.0024
Second shell
3.367 ± 0.04
0.0102 ± 0.002
12
3.172
0.195 ± 0.04


### 3.4. VSM Analysis

Figure6 shows the hysteresis loops of SmCo10 alloys and their magnetic parameters shown in the inserted table. The coercivity (Hc), remanence (Mr), and maximum magnetization at 2 T (M2T) of as-cast and annealed alloys are 349.1 Oe, 10.8 emu/g, and 79.6 emu/g and 242.0 Oe, 11.8 emu/g, and 94.6 emu/g, respectively. The poor hard magnetic properties are similar to [3], in which Song et al. found that when the Sm2Co17 alloy consists of a single 2:17R or 1:7H phase, whose grains are normally coarse and no second phase acts as a strong pinning center, it shows almost no Mr and Hc. We have known that the average sizes of 2:17R grains in as-cast and annealed alloys are both more than 30 μm and the second phase of Co with a relatively large size is discontinuously distributed on the grain boundaries together with eutectic 2:17R phase. Therefore, there is no effective exchange interaction between 2:17R and Co even if they are closely adjacent in eutecticum. On the other hand, both Co and 2:17R in eutecticum are independent phases and no Co phase is embedded in the 2:17R phase, so Co cannot act as the pinning center of 2:17R domain walls. On the contrary, the Co phase with a soft magnetism will be first reverse magnetized, ultimately making the adjacent 2:17R more easily demagnetized during demagnetization process, and thus the low Hc is inevitable. Moreover, the annealed alloy has lower Hc and better M2T, which can be attributed to its small residual stress and disorder.Figure 6
Hysteresis loops of SmCo10 alloys at different states.Figure6 shows that the hysteresis loops of as-spun ribbons in two directions have different shapes and are neither saturated. We can see that the Hc (636.5 Oe) and M2T (68.0 emu/g) of as-spun ribbons with magnetizing direction parallel to external field direction are both greater than those (Hc = 457.8 Oe and M2T = 61.1 emu/g) vertical to the external field direction. The different magnetic properties along two directions of ribbon are attributed to the fact that the cooling rate along the direction perpendicular to the surface of ribbon is the fastest during melt-spinning, so the columnar grains with a specific orientation will be formed in ribbons. As a result, the as-spun ribbons show the magnetic anisotropy because the arrangement of unit cells is changed by the formation of columnar grains.In addition, theHc of ribbons in both directions are higher than those of as-cast and annealed alloys. The EXAFS result shows that the 1:7H in as-spun ribbons has large average σ2 and ΔR, illustrating that it has a large residual stress arising from supersaturated solid solution of Co and asymmetry volume expansion and a high disorder of atomic arrangement. So it is the large residual stress that leads to high Hc and the high structural disorder that results in low magnetization. Moreover, the short rod-shaped Co grains at grain boundaries have a large average length of ∼400 nm and width of ∼100 nm; the large size makes them much easier to be the nucleation sites of the reverse magnetic domains. Finally, the ribbons also exhibit small Hc.Chen et al. [11] have reported that the SmCo10 alloy prepared by ball milling SmCo5 and Co powder followed by annealing exhibits the magnetic properties of Mr = 9.4 kG ≈ 88.0 emu/g and Hc = 4.0 kOe, which are better than those in Figure 6. This ascribes to a stronger exchange interaction between neighboring Sm2Co17 and Co grains with a smaller size of tens of nanometers. However, the Hc of 4.0 kOe is also lower for practical application. Thus, we conclude that pure Sm-Co alloys with high Co content are hard to obtain excellent hard magnetic properties no matter whether the preparation method is casting, casting followed by annealing, melt-spinning, or even mechanical alloying. Trying to fine the grains of the main phase and create a thin grain boundary phase as the forceful pinning center may get more success.


## 3.1. Phase Analysis

Figure1 shows the XRD patterns of SmCo10 powders at different states. It suggests that as-cast and annealed alloys are composed of the Th2Zn17-type Sm2Co17 phase (for short 2:17R) with space group (S.G.) of R3¯m, and a little pure α-Co (face-centered cubic (fcc) structure, S.G. Fm3m). The as-spun ribbons are composed of the TbCu7-type Sm2Co17 phase (for short 1:7H) with S.G. of P6/mmm and a little pure α-Co. However, the more detailed differences in the atomic structure of SmCo10 alloys at different states cannot be analyzed by XRD.Figure 1
XRD patterns of SmCo10 alloys at different states. (a) As-cast alloy. (b) Annealed alloy. (c) As-spun ribbons.
(a)
(b)
(c)In fact, the Sm2Co17 phase can exist in Th2Ni17-, TbCu7-, or Th2Zn17-type structure. There are four types of powder diffraction files (PDF) of the Sm2Co17 phase, whose numbers are 351368, 260484, 657762, and 190359, respectively. The Sm2Co17 with number 351368 belongs to the Th2Ni17-type Sm2Co17 phase (for short 2:17H) with S.G. of P63/mmc (194) and the lattice constants are a = 0.8373 nm, c = 0.8165 nm, and c/a = 0.9752. The 2:17H is very unstable at RT, and only the single Sm2Co17 phase alloy with very fine grains (∼15 nm) has the stable 2:17H structure at RT. The main reason for this is that the Gibbs free energy of 2:17H is lower than that of 2:17R when its grain size reduces to a specific value [3]. Therefore, the nonexistence of the 2:17H phase at three states of SmCo10 alloys may be attributed to the coarse Sm2Co17 grains. Moreover, the PDF with number 190359 illustrates that Sm-Co alloys with 87.5–89.4 at% Co show a 2:17R structure with the lattice constants of a = 0.8402 nm, c = 1.2172 nm, and c/a = 1.4487 after homogeneously annealed at about 900°C, that is to say, the 2:17R phase is stable at RT. On the other hand, the other two Sm2Co17 with number 260484 and number 657762 belong to the 1:7H structure, which both have the same lattice constants (a = 0.4856 nm, c = 0.4081 nm, and c/a = 0.8404). The PDF with number 260484 indicates that the 1:7H phase can only exist above 1320°C. At the same time, the sample in PDF with number 657762 was melted in vacuum arc furnace, followed by annealing at 1320°C for 2 h and then being cooled in liquid nitrogen. Both PDFs declare that the Sm2Co17 with 1:7H structure is a high-temperature phase, and the rapid cooling can inhibit the transformation from 1:7H to 2:17R. So the extremely fast cooling in melt-spinning process impedes the 1:7H→2:17R transformation and results in the 1:7H phase retained in as-spun ribbons. However, the as-cast SmCo10 alloy was cooled by water-cooled copper crucible, whose cooling capacity is far less than that of liquid nitrogen, so the as-cast alloy is composed of 2:17R and α-Co. Since the annealing temperature is below 1320°C and the cooling rate is very low, no phase change occurs, but the microstructure of the as-cast alloy is homogenized during annealing process. Although the allotropic transformation of α-Co→ε-Co (close-packed hexagonal (hcp), S.G. P63/mmc) can occur at about 420°C, α-Co precipitated in grain boundaries may refuse the allotrope transformation. Therefore, the annealed SmCo10 alloy is still composed of 2:17R and α-Co. Moreover, by comparing Figures 1(a)–1(c), the diffraction intensity of the as-spun ribbons is significantly lower than that of as-cast and annealed alloys, meaning that the atomic structure in as-spun ribbons has a higher disorder.Figures1(a) and 1(b) show that the maximum peak intensities of 2:17R and α-Co phases in as-cast alloy are 2107 CPS and 753 CPS, while those in annealed alloy are 1926 CPS and 688 CPS, respectively. Therefore, the mass fractions of 2:17R and α-Co phases in as-cast and annealed alloys are equal due to the almost equal ratios of 2107/753 (2.798) and 1926/688 (2.799). Furthermore, the actual lattice parameters of 2:17R in as-cast (a = 0.83954 nm, c = 1.22374 nm, c/a = 1.4576, and V (cell volume) = 0.7469 nm3) and annealed (a = 0.83947 nm, c = 1.22361 nm, c/a = 1.4576, and V = 0.7467 nm3) alloys are obtained by XRD refinement using Jade software, which are almost the same. The V of 2:17R is 0.3763% larger than that of standard 2:17R (a = 0.8402 nm, c = 1.2172 nm, c/a = 1.4487, and V = 0.7441 nm3). These results indicate that a small amount of Co is excessively dissolved in 2:17R and hence results in a lattice expansion, and the content of over-dissolved Co is almost unchanged after annealing. However, Figure 1(c) shows that the mass fraction of the α-Co phase in as-spun ribbons is smaller due to the larger ratio of the maximum peak intensity of 1:7H to α-Co (1743 CPS/600 CPS = 2.905). And the refinement result for lattice parameters of 1:7H (a = 0.48605 nm, c = 0.41083 nm, c/a = 0.8452, and V = 0.0841 nm3) shows that its V is 0.9604% larger than the standard one (a = 0.4856 nm, c = 0.4081 nm, c/a = 0.8404, and V = 0.0833). It means that more Co is dissolved excessively in 1:7H than 2:17R due to the larger lattice expansion rate (0.9604%). Simultaneously, the smaller content of the α-Co phase in as-spun ribbons also confirms that 1:7H contains more supersaturated solid solution of Co than 2:17R in as-cast and annealed alloys.


## 3.2. Microstructure Analysis

Figure2 shows the SEM images of SmCo10 alloys in different states. It can be seen from Figure 2(a) that as-cast alloy consists of the gray matrix phase with an average grain size of ∼45 μm and the bright lamellar phase discontinuously distributed on the matrix. According to the Sm-Co phase diagram [12], when liquid SmCo10 alloy with 90.9 at% Co is cooled, the proeutectic 1:7H phase precipitates first from the liquid; subsequently, the residual liquid transforms to the lamellar eutecticum with 1:7H/α-Co atomic ratio of about 8/3 (mass ratio is ∼3.47) through the eutectic reaction at 1325°C. As the temperature decreases, the transformation from 1:7H to 2:17R occurs at about 1300°C, while Co allotropic transformation does not occur. Figures 2(d) and 2(e) show the energy spectra of regions 1 and 2, which correspond to the matrix and lamellar phases, respectively, in Figure 2(a). It suggests that the lamellar areas in Figure 2(a) correspond to the eutecticum 2:17R + α-Co, where the bright particles are α-Co, and the rest of the gray part is 2:17R, same as the matrix phase. XRD analysis has given that the contents of the 2:17R and α-Co phases in as-cast and annealed alloys are almost same and the supersaturated Co in 2:17R is few. Therefore, the atomic percentages of the 2:17R and Co phases in as-cast and annealed SmCo10 alloys can be calculated to be ∼86.7 at% and ∼13.3 at% (mass percentages are ∼89.4 wt% and ∼10.6 wt%), respectively, according to the Sm-Co phase diagram [12].Figure 2
SEM images of SmCo10 alloys. (a) As-cast alloy. (b) Annealed alloy. (c) As-spun ribbons. (d) Energy spectrum of region A in (a). (e) Energy spectrum of region B in (a).
position: -105pt
(a)
position: -105pt
(b)
(c)
(d)
(e)Comparing Figure2(b) with Figure 2(a), we see that, in annealed alloy, the microstructure morphology is almost the same, except that the average grain size of 2:17R decreases to ∼35 μm, compared with the as-cast one. The decrease in the average size of 2:17R grains is due to the more homogeneous distribution of eutecticum 2:17R + α-Co caused by annealing. In contrast, a dramatical change occurs in the microstructure of as-spun ribbons, as shown in Figure 2(c), where the continuous grid-like bright stripes and the gray grains may be α-Co and 1:7H phases, respectively.In order to further determine the phase composition, phase distribution and crystallization process of the as-spun ribbons, Figure3, shows the TEM images of as-spun ribbons. It can be seen that SmCo10 ribbons consist of approximately equiaxed grains with an average size of ∼1 μm and the short rod-shaped secondary phase with the average length and width of ∼400 nm and ∼100 nm distributed intermittently at grain boundaries, which is different from the continuous grid-like bright morphology in Figure 2(c).Figure 3
TEM images and EDS spectra of as-spun ribbons. (a) TEM image. (b) Amplified image of region A in (a). (c) Amplified image of region B in (b). (d) Amplified image of region C in (b). (e) Energy spectrum of Position 1 in (b). (f) Energy spectrum of Position 2 in (b).
(a)
(b)
(c)
(d)
position: -60pt
(e)
(f)Figure3(b) is a magnification of the region A in Figure 3(a), and the high resolution images of Figures 3(c) and 3(d) correspond to regions B and C in Figure 3(b), respectively. The results of fast Fourier transform (FFT) show that both the left (L) and right (R) regions in Figures 3(c) and 3(d) correspond to the 1:7H phase, and there is no extra grain boundary phase. Additionally, the energy spectra corresponding to Positions 1 and 2 in Figure 3(b) are presented in Figures 3(e) and 3(f), respectively. They demonstrate that the intermittent boundary phase at Position 1 and equiaxed grain at Position 2 are α-Co and 1:7H phases, respectively. Therefore, the grid-like bright stripes in Figure 2(c) are not a continuous α-Co, but consist of grain boundaries and the intermittent α-Co phase. Additionally, from the numbers and the average sizes of 1:7H and α-Co grains in Figure 3(a), we estimate their volume percentages as ∼95.5% and ∼4.5%, respectively. Combined with their densities (1:7H: 8.564 g/cm, α-Co: 8.788 g/cm) in PDF with number 657762 and number 150806, the mass percentages of 1:7H and α-Co are calculated to be ∼95.4% and ∼4.6%, respectively. Therefore, the content of α-Co is reduced after melt-spinning, which is consistent with the result of XRD analysis.We can see from SEM and TEM images that the as-cast, annealed, and as-spun SmCo10 alloys all form Sm2Co17/Co two-phase microstructure, same as that of mechanically alloyed SmCo10 [11]. Moreover, the melt-spinning inhibits the eutectic transformation of liquid phase and impedes the 1:7H→2:17R transformation, resulting in the metastable 1:7H phase retained in as-spun ribbons.


## 3.3. EXAFS Analysis

As we know, the Rietveld refinement of XRD pattern put forward by Rietveld [13] can be used to analyze the crystal structure. In fact, XRD refinement gives the averaged long-range-ordered structural information. In contrast, EXAFS gives the information of local structure and probes the atomic environment around the interested atom [14]. Therefore, each method can contribute its own share of important information on the structure. In this work, the EXAFS method was used to analyze the slight difference of atomic structure among the three states of SmCo10 alloy.Considering the electronic multiscattering, atomic disorder, many-body effect, and so on, the EXAFS [14–18] function can be generally expressed as(1)χk=∑iNiS02fikkRi2exp−2k2σi2exp−2Riλksin2kRi+δik,where i refers to shell of similar atoms; k refers to the wave vector of photoelectrons; λk is the mean free path of the excited photoelectron; S02 is the amplitude reduction factor of absorbing atom; Ri is the distance from absorbing atom to the neighboring atoms of interest for single-scattering paths and the half-path length for multiple-scattering paths; σi2 is the Debye-Waller factor (i.e., disorder factor) or the mean-square deviation versus Ri; Ni refers to the number of atoms in the ith coordination shell of absorbing atom or the degeneracy for scattering paths; and fik and δik are the theoretical curved-wave amplitude and phase-shift functions of the scattering atom, respectively.Theλk, fik, and δik can be derived from the standard 2:17R (corresponding to Crystal Information File (CIF): 420005 in Inorganic Crystal Structure Database (ICSD)) and 1:7H (ICSD CIF: 102668) structures by FEFF [19], in which Sm is set as the center atom and S02 and σ2 are fixed as 1 and 0.003, respectively, and N and R of atomic shells with a distance of less than 6 Å from Sm are defaulted to the values calculated from the fractional coordinates of Sm and Co in standard 2:17R and 1:7H unit cells (recorded in their CIFs). Therefore, the actual structural parameters needed to be fitted in (1) are only Ni, S02, σi2, and Ri. However, different coordination shells of the absorbing atom and different scattering paths in the same shell may have different structural parameters because of some factors such as scattering atomic species, neighboring atomic environments, and vacancies. Four parameters must be fitted in each scattering path, causing difficulties in parameterization when a multishell approach is performed. Actually, too many structural parameters will result in an inaccurate and unstable result and even make the fitting process unable to be completed [20]. Therefore, it is very important to build up appropriate crystal models and use reasonable surmises and parameter associations for improving the fitting accuracy [21, 22].First,k-weight Sm L3-edge EXAFS kχk (as shown in Figures 4(a1)–4(a3)) was extracted from the original absorption spectra of SmCo10 alloys at different states by Athena software package [23]. Figures 4(a1)–4(a3) show that the amplitude and oscillation frequency of kχk in as-cast and annealed alloys are similar, and no obvious phase difference exists between them. However, for as-spun ribbons, the shape of kχk is slightly different, and especially the amplitude is lower than that for as-cast and annealed alloys. As known from the above XRD and TEM analysis, both as-cast and annealed alloys consist of 2:17R and α-Co, and as-spun ribbons are composed of 1:7H and α-Co. The Co phase cannot contribute to the EXAFS signal because of no Sm inside, and thus kχk reflects only the structural information of 2:17R or 1:7H. Therefore, we conclude that the atomic structures of the 2:17R phase in as-cast and annealed alloys are basically same but they are different from the 1:7H phase in as-spun ribbons. Especially, the 1:7H has a higher structural disorder compared with 2:17R.Figure 4
k
χ
k functions (a1–a3) and FT-kχk functions (b1–b3) of SmCo10 alloys with different states. (a1, b1) As-cast alloy. (a2, b2) Annealed alloy. (a3, b3) As-spun ribbons.In order to separate the contribution of each coordination shell of the absorbing atom from the sum of the contributions of different shells as in (1), kχk was Fourier transformed without phase-shift correction by using a Hanning window with the k-range of 3.2–10 Å−1 for as-cast and annealed alloys and 2.2–7.5 Å−1 for as-spun ribbons. The smaller kmax (7.5 Å−1) of the k-range for as-spun ribbons than that (10 Å−1) for as-cast and annealed alloys is because of the low signal-to-noise ratio (SNR) at further k of greater than 7.5 Å−1 as shown in Figure 4(a3).Figures4(b1)–4(b3) give the Fourier-transformed kχk (FT-kχk) functions. Each peak in every FT-kχk is related to one coordination shell, where the number of neighbors accompanied by their order degree determines the amplitude of this peak, while the position of this peak corresponds to the distance from the absorbing atom [24]. However, compared to the actual interatomic distance, the peak position will shift approximately 0.2–0.5 Å shorter because no phase-shift correction is considered for Fourier transformation [25, 26]. It can be seen that the FT-kχk functions have the highest peaks in almost the same R-range of 1.5–3.5 Å, which illustrates that Co at this R-range gives main contribution on the EXAFS signal; in other words, the shape and position of the highest peak is significantly sensitive to the structural change. For the purpose of getting the subtle difference between the atomic structures of three alloys, the R-range of 1.5–3.5 Å for the FT-kχk should be fitted by single-scattering approximation [27]. For this, the standard 2:17R structure (shown in Figure 5(a)) was used as the initial model for as-cast and annealed alloys and standard 1:7H structure (shown in Figure 5(b)) for as-spun ribbons. The two standard structures are drawn according to their CIFs. It should be noted that Figure 5(b) just shows the averaged effect of atomic positions, the actual occupancy rates of Sm and Co at 1a and 2e sites (fSm(1a) and fCo(2e) for short) are 2/3 and 1/3, respectively. And when 1a sites are occupied by Sm, the neighboring 2e sites will never be occupied by Co [28]. That is to say, 1:7H is a disordered structure, in which some 1a and 2e sites are unoccupied.Figure 5
The standard atomic structures of 2:17R (a) and 1:7H (b). Co(6c), Co(18f), and Co(18h) represent Co at 6c, 18f, and 18h sites in 2:17R; similarly, the Co(2e), Co(2c), and Co(3g) represent Co at 2e, 2c, and 3g sites in 1:7H.
(a)
(b)The detailed atomic arrangement characteristics around Sm(6c) and Sm(1a) in standard 2:17R and 1:7H structures are summarized in Table1. Considering the peak position shift, as well as combining the fitted R-range with Table 1, we chose these single-scattering paths of Sm(6c)-Co(18f), Sm(6c)-Co(6c), and Sm(6c)-Co(18h) to represent the structure of the 2:17R phase, and of Sm(1a)-Co(2c), Sm(1a)-Co(2e), and Sm(1a)-Co(3g) to represent the structure of the 1:7H phase, respectively. In fitting process, for reducing the structural parameters that need to be fitted, we assumed that the N for each selected path is equal to the one of the corresponding path for standard structures as shown in Table 1. The Sm(6c)-Co(18f) and Sm(6c)-Co(6c) paths are merged (their N is added together) as the first Co shell of Sm due to their approximate R (Table 1), while Sm(6c)-Co(18h) represents the second Co shell of Sm for 2:17R. And for 1:7H, Sm(1a)-Co(2c) and Sm(1a)-Co(2e) are merged (their N is added together) as the first Co shell, while Sm(1a)-Co(3g) is regarded as the second Co shell of Sm. The R for the first Co shell of Sm in standard 2:17R is estimated to be 2.812 Å ((2.801 × 6 + 2.877 × 1)/7) according to R and N of Sm(6c)-Co(18f) and Sm(6c)-Co(6c) paths, while that in standard 1:7H is estimated to be 2.811 Å ((2.804 × 6 + 2.873 × 0.667)/6.667) according to R and N of Sm(1a)-Co(2c) and Sm(1a)-Co(2e) paths, as shown in Table 1. The two-shell model is necessary because the peak at R-range of 1.5–3.5 Å contains the contributions of two Co shells with a relatively large difference in R. If the two Co shells are forced to merge into one Co shell, an unreasonable result will be obtained. Moreover, the S02 was set to 0.92 by multiple attempts using Artemis software package [23] to remove the correlation between S02 and σ2 due to the fact that S02 is related to only the absorbing atomic species. The fitting results in k and R spaces are shown in Figure 4.Table 1
The neighboring atomic arrangements around Sm(6c) and Sm(1a) in standard 2:17R and 1:7H structures, respectively.
Phase
Path
Interatomic distance,R (Å)
Neighboring atom number,N
2:17R
Sm(6c)-Co(18f)
2.801
6
Sm(6c)-Co(6c)
2.877
1
Sm(6c)-Co(18h)
3.162
12
Sm(6c)-Sm(6c)
4.057
1
1:7H
Sm(1a)-Co(2c)
2.804
6
Sm(1a)-Co(2e)
2.873
0.667 (2fCo(2e))
Sm(1a)-Co(3g)
3.172
12
Sm(1a)-Sm(1a)
4.081
1.333 (2fSm(1a))Table2 gives the detailed fitting results with errors. The errors mainly arise from the contribution of inherent systematic deviation; moreover, the presence of a few nonsmooth regions in kχk also contributes to the errors. For the 2:17R phase in the annealed alloy, the R of the first and second Co shells of Sm is almost the same, while σ2 of both shells is smaller, compared to those in the as-cast alloy. It means that the 2:17R phase in as-cast and annealed alloys has the same atomic structure, but the 2:17R phase in the as-cast alloy has a higher structural disorder because the nonequilibrium crystallization caused by rapid water-cooled solidification results in an accumulation of internal stress. The annealing does not change the atomic arrangement of 2:17R but only reduces the structural disorder of 2:17R due to the relaxation of internal stress and homogenization of the microstructure by the atomic rediffusion at 820°C. Moreover, compared with the standard 2:17R structure, ΔR is both positive and negative, meaning the solid solution of Co induces the asymmetric distortion of the 2:17R structures in as-cast and annealed alloys, and the annealing at 820°C for 120 min is not enough to make the 2:17R phase reach the standard equilibrium structure. After the as-cast alloy was melt-spun, according to XRD and TEM results, the 2:17R disappeared and the metastable 1:7H was formed in the ribbons. We can see from Table 2 that ΔR for both the first and second Co shells of Sm in 1:7H is positive, and the average ΔR for 1:7H is larger than that for 2:17R, which means that the solid solubility of Co in 1:7H is higher than 2:17R. The over-dissolved Co results in a great atomic off-centered shift and asymmetric volume expansion, so a larger internal stress should be accumulated in 1:7H. As a result, a lower content of pure α-Co in as-spun ribbons is remained compared to that in as-cast and annealed alloys, which is consistent with the results obtained from 3.1 to 3.2 Sections. Additionally, the σ2 of the first and second Co shells of Sm in the 1:7H phase is larger than that in the 2:17R phase in the as-cast alloy. This can be attributed to the greater internal stress and severer lattice distortion caused by more supersaturated solid solution of Co atoms in 1:7H after melt-spinning.Table 2
The fitting results for 2:17R and 1:7H phases in SmCo10 alloys with different states. R0, calculated from the fractional coordinates of Sm and Co in standard 2:17R and 1:7H unit cells represents the distance between Sm and its first and second Co shells in standard 2:17R and 1:7H structures. R factor is the sum-of-squares measure of the fractional misfit. The errors of R, σ2, and R0 are shown behind the “±.”
Phase
Co shells of Sm
R (Å)
σ
2 (Å2)
N
R
0 (Å)
Δ
R
=
R
−
R
0 (Å)
R factor
2:17R in as-cast alloy
First shell
2.985 ± 0.02
0.0050 ± 0.002
7
2.812
0.173 ± 0.02
0.0081
Second shell
3.117 ± 0.03
0.0095 ± 0.003
12
3.162
−0.045 ± 0.03
2:17R in annealed alloy
First shell
2.980 ± 0.03
0.0034 ± 0.001
7
2.812
0.168 ± 0.03
0.0739
Second shell
3.117 ± 0.04
0.0076 ± 0.002
12
3.162
−0.045 ± 0.04
1:7H in as-spun ribbons
First shell
2.872 ± 0.06
0.0133 ± 0.004
6.667
2.811
0.061 ± 0.06
0.0024
Second shell
3.367 ± 0.04
0.0102 ± 0.002
12
3.172
0.195 ± 0.04


## 3.4. VSM Analysis

Figure6 shows the hysteresis loops of SmCo10 alloys and their magnetic parameters shown in the inserted table. The coercivity (Hc), remanence (Mr), and maximum magnetization at 2 T (M2T) of as-cast and annealed alloys are 349.1 Oe, 10.8 emu/g, and 79.6 emu/g and 242.0 Oe, 11.8 emu/g, and 94.6 emu/g, respectively. The poor hard magnetic properties are similar to [3], in which Song et al. found that when the Sm2Co17 alloy consists of a single 2:17R or 1:7H phase, whose grains are normally coarse and no second phase acts as a strong pinning center, it shows almost no Mr and Hc. We have known that the average sizes of 2:17R grains in as-cast and annealed alloys are both more than 30 μm and the second phase of Co with a relatively large size is discontinuously distributed on the grain boundaries together with eutectic 2:17R phase. Therefore, there is no effective exchange interaction between 2:17R and Co even if they are closely adjacent in eutecticum. On the other hand, both Co and 2:17R in eutecticum are independent phases and no Co phase is embedded in the 2:17R phase, so Co cannot act as the pinning center of 2:17R domain walls. On the contrary, the Co phase with a soft magnetism will be first reverse magnetized, ultimately making the adjacent 2:17R more easily demagnetized during demagnetization process, and thus the low Hc is inevitable. Moreover, the annealed alloy has lower Hc and better M2T, which can be attributed to its small residual stress and disorder.Figure 6
Hysteresis loops of SmCo10 alloys at different states.Figure6 shows that the hysteresis loops of as-spun ribbons in two directions have different shapes and are neither saturated. We can see that the Hc (636.5 Oe) and M2T (68.0 emu/g) of as-spun ribbons with magnetizing direction parallel to external field direction are both greater than those (Hc = 457.8 Oe and M2T = 61.1 emu/g) vertical to the external field direction. The different magnetic properties along two directions of ribbon are attributed to the fact that the cooling rate along the direction perpendicular to the surface of ribbon is the fastest during melt-spinning, so the columnar grains with a specific orientation will be formed in ribbons. As a result, the as-spun ribbons show the magnetic anisotropy because the arrangement of unit cells is changed by the formation of columnar grains.In addition, theHc of ribbons in both directions are higher than those of as-cast and annealed alloys. The EXAFS result shows that the 1:7H in as-spun ribbons has large average σ2 and ΔR, illustrating that it has a large residual stress arising from supersaturated solid solution of Co and asymmetry volume expansion and a high disorder of atomic arrangement. So it is the large residual stress that leads to high Hc and the high structural disorder that results in low magnetization. Moreover, the short rod-shaped Co grains at grain boundaries have a large average length of ∼400 nm and width of ∼100 nm; the large size makes them much easier to be the nucleation sites of the reverse magnetic domains. Finally, the ribbons also exhibit small Hc.Chen et al. [11] have reported that the SmCo10 alloy prepared by ball milling SmCo5 and Co powder followed by annealing exhibits the magnetic properties of Mr = 9.4 kG ≈ 88.0 emu/g and Hc = 4.0 kOe, which are better than those in Figure 6. This ascribes to a stronger exchange interaction between neighboring Sm2Co17 and Co grains with a smaller size of tens of nanometers. However, the Hc of 4.0 kOe is also lower for practical application. Thus, we conclude that pure Sm-Co alloys with high Co content are hard to obtain excellent hard magnetic properties no matter whether the preparation method is casting, casting followed by annealing, melt-spinning, or even mechanical alloying. Trying to fine the grains of the main phase and create a thin grain boundary phase as the forceful pinning center may get more success.


## 4. Conclusion

In this paper, phase compositions, microstructures, and magnetic properties of SmCo10 alloys prepared by three methods were studied, and the main conclusions can be drawn as follows:(1)
The as-cast SmCo10 alloy is composed of the 2:17R matrix phase with an average grain size of ∼45 μm and 2:17R + α-Co eutecticum on the grain boundaries, and the mass percentages of 2:17R and α-Co phases are ∼89.4 wt% and ∼10.6 wt%, respectively. The 2:17R lattice shows a little expansion due to the trace over-dissolved Co.(2)
After the as-cast alloy was annealed at 820°C for 120 min, the phase composition, phase content, and phase distribution are all unchanged. However, the average grain size of 2:17R decreases to ∼35μm, and the distribution of 2:17R + α-Co eutecticum on 2:17R matrix becomes more homogeneous. Moreover, the atomic structure of 2:17R is unchanged but with a decrease in structural disorder, and the over-dissolved Co is still remained inside after annealing. In this case, the annealed SmCo10 alloy shows lower Hc and higher Mr and M2T than the as-cast one.(3)
After the as-cast alloy was melt-spun at 40 m/s, the 1:7H forms instead of 2:17R, and more Co is over-dissolved in 1:7H; thus, the mass percentage of α-Co in ribbons is reduced to ∼4.6 wt%. The α-Co phase with the average length and width of ∼400 nm and ∼100 nm is distributed intermittently at the grain boundaries of the 1:7H matrix phase. Moreover, the supersaturated 1:7H shows a larger lattice expansion and higher structural disorder than 2:17R; thus, a larger internal stress is accumulated in 1:7H. As a result, the as-spun ribbons show higherHc and lower M2T than the as-cast and annealed alloys.



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*Source: 6457534-2018-03-29.xml*