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Magnetic Binary Supersaturated Solid Solutions Processed by Severe Plastic Deformation

Samples consisting of one ferromagnetic and one diamagnetic component which are immiscible at the thermodynamic equilibrium (Co-Cu, Fe-Cu, Fe-Ag) are processed by high-pressure torsion at various compositions. The received microstructures are investigated by electron microscopy and synchrotron X-ray diffraction, showing a microstructural saturation. Results gained from microstructural investigations are correlated to magnetometry data. The Co-Cu samples show mainly ferromagnetic behavior and a decrease in coercivity with increasing Co-content. The saturation microstructure of Fe-Cu samples is found to be dual phase. Results of magnetic measurements also revealed the occurrence of two different magnetic phases in this system. For Fe-Ag, the microstructural and magnetic results indicate that no intermixing between the elemental phases takes place.


Introduction
Creating materials with tailored functional properties has been a large field of interest for many years. In the field of magnetism, for example, it was shown that the magnetic moment of γ-Fe 2 O 3 can be tuned electrochemically [1]. Another approach to create materials with tunable magnetic properties is to exploit effects of magnetic dilution. Therefore, metastable materials are fabricated, consisting of elements which exhibit large miscibility gaps in the thermodynamic equilibrium. The concept is to synthesize homogeneous structures consisting of components with different magnetic properties (e.g., ferromagnetic and diamagnetic). For instance, Chien et al. [2] processed Fe-Cu samples by the vapor quenching method or Childress et al. [3] produced Co-Cu samples by magnetron sputtering. Both approaches showed that magnetic properties can be tuned, e.g., the Curie-temperature was shifted towards smaller values for high Cu-containing compositions. Such metastable solid solutions can also be processed with ball-milling [4,5], leading to samples in powder form. Another route to prepare such samples is with high-pressure torsion (HPT) deformation [6,7], a severe plastic deformation (SPD) technique, which has the advantage that the resulting sample is already in bulk form. It was shown that binary supersaturated solid solutions can be processed at high homogeneity by HPT [8,9]. The microstructure of as-deformed samples typically exhibits grain sizes in the nanocrystalline regime. First, investigations regarding magnetic tunability have been carried out on HPT-processed Co 26 wt.%-Cu, showing large deviations in the saturation behaviour of the as-deformed state with respect to bulk hcp-Co [10]. Further investigations revealed the sensitivity of the magnetic properties, such as coercivity and remanence, on the processing parameters as well as the influence of subsequent annealing treatments as the microstructure and elemental distribution could change.
As covered by Herzer [11], grain sizes in the nanometer regime lead to a decrease in coercivity. In this regime, the coercivity is not controlled by domain wall motion and its hindering due to obstacles like grain boundaries. Instead, the grains' random alignment of the magnetic easy axes lead to a breakdown in coercivity [12].
In this study, supersaturated solid solutions are prepared by HPT consisting of one ferromagnetic and one diamagnetic component. The microstructure of the as-deformed samples, which are already available in bulk form, are characterized and correlated to their magnetic properties.

Materials and Methods
The investigated binary compounds consist of Co-Cu, Fe-Cu or Fe-Ag. To obtain any desired chemical composition, conventional powders are used as starting materials (Fe: MaTeck 99.9% −100 + 200 mesh, Co: GoodFellow 99.9% 50-150 µm, Cu: AlfaAesar 99.9% −170 + 400 mesh, Ag: AlfaAesar 99.9% −500 mesh). An Ar-filled glovebox is used to store the powders and prepare the powder mixtures, which are hydrostatically compacted in Ar-atmosphere at a nominal pressure of 5 GPa applied. Pre-compacted samples are then severely deformed by HPT for 50 or 100 turns at the same pressure at room temperature. A detailed description of the used setup is given in Ref. [13]. The resulting samples are 8 mm in diameter and about 0.5 mm thick. Samples in the Co-Cu system are prepared at medium compositional ranges. Co37wt.%-Cu, Co49wt.%-Cu and Co53wt.%-Cu samples are processed using 50 turns at the HPT, leading to shear strains of γ∼1500 at r = 2 mm. Co28wt.%-Cu and Co67wt.%-Cu samples are processed by using 100 turns, leading to shear strains of γ∼3000 at r = 2 mm. In this system, compositions with lower or higher Co-contents could not be successfully processed, due to large residual Co-particles or cracking during HPT deformation. In the Fe-Cu system, samples with low Fe-content (Fe7wt.%-Cu, Fe14wt.%-Cu, Fe25wt.%-Cu) are processed using 100 turns at the HPT, leading to a shear strain of γ∼3000 at r = 2 mm. Samples with higher Fe-contents fail due to shear band formation during HPT deformation. The Fe18wt.%-Ag sample is deformed with 100 turns at the HPT (γ∼3000 at r = 2 mm). Figure 1 shows a schematic diagram of an as-deformed sample and a layout of the positions where the measurements are carried out. Vickers hardness measurements are performed at half height of the sample in a tangential direction in steps of ∆r = 0.25 mm (not shown). Further investigations of the microstructure are carried out by scanning electron microscopy (SEM; Zeiss LEO 1525, LEO Electron Microscopy Inc., Thornwood, NY, USA) in a tangential direction of the sample. The chemical compositions of the samples, as stated above, are measured by energy dispersive X-ray spectroscopy (EDX; Model 7426, Oxford Instruments plc, Abingdon, UK). To investigate the grain sizes, an EBSD/TKD (Electron Back Scattering Diffraction/Transmission Kikuchi Diffraction) system (Bruker Nano GmbH, Berlin, Germany) attached to the SEM was used. For TKD data analysis, the manufacturer's software Esprit version 2.1 was utilized. Additional microstructural investigations are carried out with synchrotron X-ray diffraction measurements in transmission mode (Petra III: P07 synchrotron facility at Deutsches Elektronen-Synchrotron DESY, Hamburg, Germany; Beam Energy: 100 keV; Beam Size: 0.2 × 0.2 mm 2 ). Diffraction patterns are recorded in the axial orientation at r ≥ 2 mm.
Magnetic properties are measured in a SQUID-Magnetometer (Quantum Design MPMS-XL-7, Quantum Design, Inc., San Diego, CA, USA) operated with the manufacturer's software MPMS MultiVu Application (version 1.54). The applied magnetic field points in the axial orientation of the sample. Magnetic hysteresis are measured at 300 K in magnetic fields up to 70 kOe. Zero Field Cooling (ZFC) and Field Cooling (FC) measurements are recorded between 5 K and 300 K at 50 Oe.

Microstructure
Vickers hardness measurements are carried out as the measurements are very sensitive to small changes in the microstructure. Hardness values plotted versus shear strain showed a saturation behavior starting at r ≥ 2 mm, indicating the as-deformed microstructures reached a steady state above this position.  SEM images of Fe-Cu with low (7 wt.%) and high (25 wt.%) Fe-contents are shown in Figure 3a,b. A few remaining particles are visible in the micrograph of Fe25wt.%-Cu. In Figure 3c, the SEM image of Fe18wt.%-Ag is displayed. The deformed microstructure exhibits many remaining dark particles at various sizes. Statistically significant information of each sample's constituting phases are revealed by synchrotron diffraction measurements, as shown in Figure 4. In the diffraction patterns of the Co-Cu samples (Figure 4a), only very weak occurence of hcp-Co may persist. The received patterns consist mainly of fcc-peaks, showing that Co undergoes a phase transformation from hcp to fcc during HPT as reported in previous studies [14][15][16]. The deviations of the fcc-Cu peaks can be explained with the change of the chemical composition of the samples, summarizing that the received microstructures is mainly fcc, either rich in Cu or Co. Diffraction patterns of Fe-Cu (Figure 4b) samples exhibit pronounced peaks of fcc-Cu, but also weak bcc-Fe peaks can be identified. These results are in agreement with SEM images as described above, which also show a few remaining particles and leads to the conclusion that a dual phase structure is present. The diffraction pattern of the Fe18wt.%-Ag sample is shown in Figure 4c. The occurring phases in the pattern can not be clearly identified due to an overlap in the bcc-Fe and fcc-Ag peaks. These peaks are very broad, indicating a remaining dual phase structure.   Figure 5a shows the hysteresis of Co-Cu samples measured at 300 K. The magnetic moment per gram of cobalt is plotted versus the applied field. The three samples with the highest Co-content (Co49wt.%-Cu, Co53wt.%-Cu, Co67wt.%-Cu) saturate easily, indicating a pronounced ferromagnetic ordering. The saturation behavior of the samples with lower Co-content, Co28wt.%-Cu and Co37wt.%-Cu illustrate a slight increase of the magnetization with increasing magnetic field. Saturation is not completed even at the highest applied field of 70 kOe, which indicates a paramagnetic contribution and, therefore, a partial breakdown in the long-range ordering. In Figure 5b, the magnetic moment per gram of Co in saturation is plotted versus the Co-content. Therefore, the mean of the magnetic moment was calculated at fields between 20 kOe and 70 kOe (filled symbols). For the samples with low Co-content, Co28wt.%-Cu and Co37wt.%-Cu, the magnetization at 70 kOe is plotted (open symbols). It can be seen that the magnetic moment of Co increases with increasing Co-content and approaches the magnetic moment of bulk fcc-Co (166 emu·g −1 [17]). This result is in accordance with findings on magnetron sputtered Co-Cu, but slightly shifted towards higher magnetic moments [3]. The coercivity is evaluated with a least-squares fit of the hysteresis two halves between −800 Oe and 800 Oe and plotted in Figure 5b. The coercivity decreases with increasing Co-content, reaching from 66 Oe down to 0.8 Oe. From the TKD analysis, it was shown that high Co-containing compositions exhibit smaller grain sizes than low Co-containing compositions. Comparing the coercivity of the samples with their grain sizes, it can be seen that the coercivity decreases with decreasing grain size, entering the regime of random anisotropy due to exchange coupled nanograins. Apart from the decrease in grain size, the various chemical compositions may also lead to deviations of the micromagnetic properties.

Magnetism
In Figure 6a, the hysteresis of the Fe-Cu samples are shown. The magnetic moment per gram of Fe is plotted versus applied field. The hysteresis of the Fe-Cu samples show a very pronounced paramagnetic behavior at high applied fields. At low fields, a steep increase in magnetization occurs, indicating the presence of long-range magnetic ordering and, therefore, a ferromagnetic phase as expected from SEM and sychrotron XRD measurements. This contribution increases with increasing Fe-content. The magnetization, even at the highest applied field, is far away from the value of bulk bcc-Fe at 222 emu·g −1 for all investigated compositions. This can be explained by the disorder of surface spins on genuine Fe clusters formed by HPT deformation. Further magnetic characterization is carried out by performing temperature dependent measurements at low magnetic field (50 Oe). Results of ZFC-FC measurements on the Fe-Cu samples are shown in Figure 6b. In the ZFC-FC measurement of Fe25wt.%-Cu and Fe14wt.%-Cu, superparamagnetic blocking peaks below room temperature can be identified, indicating the presence of remaining Fe clusters. Splitting of the ZFC-FC-curves is not pronounced for the Fe7wt.%-Cu sample, but Fe7wt.%-Cu and Fe14wt.%-Cu show a cusp in the FC curve at very low temperatures. Its origin may be found in spin-glass behaviour, as reported in Refs. [18][19][20]. This phase transition is expected to apply for Fe-contents below 20 at.% at about 50 K [2], which leads to the assumption that Fe is not only clustered, but is also partially diluted in Cu. As the expected magnetic effects for Fe-Cu samples are highly sensitive to the elemental distributions, further microstructural investigations need to be carried out at atomic scales (e.g., by Atom Probe Tomography) to get more in-depth information. The hysteresis of the Fe18wt.%-Ag sample is shown in Figure 7. Any deviation between the saturation magnetization and the magnetic moment of bulk bcc-Fe is in the range of the chemical composition uncertainty, leading to the conclusion that no distortion of the Fe magnetic moment is observed. The coercivity, evaluated as described above, is 400 Oe. These results again indicate that no intermixing between Ag and Fe takes place during HPT and a dual-phase structure remains. It can be concluded that, for the Fe18wt.%-Ag sample, only grain refinement takes place.

Conclusions
Binary solid solutions are processed by HPT. Three different systems, immiscible at the thermodynamic equilibrium and consisting of one ferromagnetic and one diamagnetic component, are investigated (Co-Cu, Fe-Cu, Fe-Ag). Correlating microstructural and magnetic data lead to the following results: for Co-Cu samples, fcc-structures can be processed in the medium composition range. Higher Co-containing compositions show the smallest grain sizes as well as the lowest coercivity, demonstrating that the coercivity can be tuned by varying the chemical composition. Co-Cu HPT samples are near the crossover of free-domain motion and exchange-coupling of ultra-small grains exhibiting randomization of anisotropy, with nearly identical initial susceptibilites independent of Co-composition. On the other hand, Fe-Cu samples deliver phase separation of Fe-grains with monodomain magnetism obeying Stoner-Wolfarth behavior with strongly composition dependent slopes of hysteresis curves and a typical magnetic blocking effect. For Fe-concentrations below 20 wt.%, a partial dissolution of Fe in Cu is expected with spin-glass behavior (to be probed by frequency dependent AC susceptibility measurements). For the Fe-Ag sample, magnetic measurements indicate only grain refinement, but no intermixing of the elemental phases takes place.

Acknowledgments:
The measurements leading to these results have been performed at PETRA III: P07 at DESY Hamburg (Germany), a member of the Helmholtz Association (HGF). We gratefully acknowledge the assistance by Norbert Schell. The authors thank Karoline Kormout, Sandra Ebner, Christina Hofer and Stefan Zeiler for their help with the synchrotron measurements.

Conflicts of Interest:
The authors declare no conflict of interest.

Abbreviations
The following abbreviations are used in this manuscript: