Intrinsic magnetic properties of single-phase Mn(1+x)Ga (0<x<1) alloys.

Magnetization measurements have been carried out on a series of carefully prepared single-phase Mn(1+x)Ga (0<x<1) alloys. The saturation magnetization Ms, measured at 5 K, has a value of 92.0 emu/g for x=0.15. This is the highest value reported in these alloys and is close to the calculated value of 116 emu/g for the stoichiometric compound (x=0). Ms decreases gradually with x and has a value of 60.7 emu/g for x=0.86. This behavior is consistent with the extra Mn atoms occupying Ga sites and coupling antiferromagnetically with the rest of the Mn atoms. The intrinsic magnetic properties of the Mn-Ga alloys indicate their great potential as novel, rare-earth free permanent magnetic materials.

Ferromagnetic tetragonal P4/mmm (also known as L10) MnGa containing neither rare earth nor noble metal atoms is a promising candidate for novel permanent magnetic materials due to its high Curie temperature (TC) and strong magnetic anisotropy field (Ha). MnGa, in theory, possesses a saturation magnetization (Ms) of 116 emu/g12, which could potentially yield a maximum energy product, (BH)max, of 28 MGOe. Unfortunately, stoichiometric MnGa cannot be manufactured due to preparation difficulties34. To date, several groups have reported structural and magnetic properties of Mn1 + xGa alloys from ball milled powders3, melt-spun ribbons4, and thin films567. However, the reported values of Ms for the milled powders and thin films are about 50% lower than the predicted value of 116 emu/g. The highest value of 85 emu/g was reported for Mn1.2Ga melt-spun ribbons by Huh et al.4.

In tetragonal Mn1 + xGa (0 < x < 1) alloys, belonging to either the ordered P4/mmm (L10) or the disordered I4/mmm (D022) structures, the magnetization of the alloys decreases with increasing Mn content, x. This tendency has been attributed to antiferromagnetic coupling between the excess Mn atoms on the Ga (2b) site and their neighbouring Mn atoms on the 4d site8. To explain this effect, several structural, crystalline and magnetic, models have been proposed. Based on the ordered structure, Mizukami et al.8 have suggested that the extra Mn atoms can randomly replace Ga atoms at the 2a or 2b sites and couple antiferromagnetically with the Mn atoms at the 4d site. For the disordered structure, on the other hand, Winterlik et al.9 proposed two models: one involving Mn vacancies at the 2b site, and the other the Mn vacancies at both the 2b and 4d sites in the unit cell9. However, the exact atomic arrangement in these tetragonal Mn1 + xGa alloys remains unknown.

To introduce a practical hard magnet, three basic steps must be followed. First and foremost is the determination of the intrinsic magnetic properties (saturation magnetization, anisotropy field and Curie temperature) of the material. If the results are encouraging, the next step is to determine the magnetic structure. This step is important in improving the magnetic properties through elemental substitutions. The last step is the enhancement of the extrinsic magnetic properties, such as remanence and coercivity, through control of the microstructure. A look at the Mn-Ga phase diagram shows that this is one of the most complex binary phase diagrams. To avoid complexities and the effects of the microstructure on the magnetic properties, as seen in thin films and nanograin samples101112, we need to prepare good quality single-phase samples (see Methods). In the present study, we report on the intrinsic magnetic properties of single-phase Mn1 + xGa (0 < x < 1) alloys.

Results and Discussion

The X-ray diffraction results, as shown in Fig. 1, confirm that all the alloys are single phase, and can be fitted to the tetragonal structure. The lattice parameters as well as the volume of the unit cells for all the alloys are displayed in Table 1. The reduction in Mn content is associated with a slight contraction in a and an expansion along c, leading to a small overall volume increase of the unit cell.

Figure 1

X-ray diffraction patterns of Mn1 + xGa.

Table 1

Lattice constants and cell volumes of Mn1 + xGa alloys.

Composition	Lattice constants
Mn1 + xGa	a(Å)	c(Å)	V(Å3)
Mn1.15Ga	3.8796	7.4280	111.80
Mn1.20Ga	3.8812	7.3878	111.29
Mn1.33Ga	3.8877	7.3407	110.95
Mn1.50Ga	3.8934	7.2918	110.53
Mn1.86Ga	3.8992	7.2221	109.80

The neutron diffraction pattern for Mn1.33Ga is shown in Fig. 2. We only show the neutron diffraction pattern to confirm the single-phase nature of the alloy. The refinement results will not be given here as we could not obtain a unique fit to the data. This was due to the number of parameters involved in the fitting. These include: the number and location of possible Ga vacancies for x > 0, possible disorder among the Mn/Ga atoms at different sites, the magnitude and direction of the magnetic moments of Mn on the two sites. Fits to the neutron results could be obtained with the same χ2 value but with quite different values for the above noted parameters that were consistent with the nominal composition (x) and the experimental Ms. For this reason, we cannot make any comment on previously published fitting results on Mn1 + xGa. We are in the process of carrying out an extensive neutron diffraction study for all the compositions to obtain a complete description for the structure. The only conclusion we can draw from our diffraction (XRD and NPD) experiments is that the most likely structure for all the alloys is the disordered tetragonal structure with space group I4/mmm as shown in Fig. 3. For MnGa (x = 0), the c-axis is half of that shown in the figure. In the ordered structure, P4/mmm, there are no vacancies and no Ga/Mn substitutions while for the disordered structure, I4/mmm, Mn/Ga substitutions can occur as well as the possibility of vacancies at the Ga 2a sites.

Figure 2

Room temperature neutron powder diffraction pattern for Mn1.33Ga.

The red circles denote the experimental observations and the green line is one of the model calculations with the occupancies as shown in the inset. The vertical blue lines are the Bragg positions and the difference between the measurement and the fit is shown by the magenta line the bottom.

Figure 3

The disordered tetragonal structure (I4/mmm) for Mn1 + xGa.

Figure 4(a) shows the magnetization as a function of temperature for some of the alloys under an applied field of 0.01 T, and the corresponding field dependence of the magnetization is shown in Fig. 4(b). The values for the saturation magnetization, Ms (in both emu/g and, in parentheses, Bohr magnetons per formula unit), the anisotropy field, HA, as well as the Curie temperature, Tc, are listed in Table 2.

Figure 4

Magnetization as a function of temperature (a) and applied magnetic field (b) for Mn1 + xGa alloys.

Table 2

Intrinsic magnetic properties of Mn1 + xGa alloys (Ms and Ha are measured at 5 K).

Sample	Intrinsic magnetic properties
Mn1 + xGa	Ms-14T (emu/g)/(μB/f.u.)	Ha (kOe)	TC (K)
Mn1.15Ga	92.0/2.19	66	595
Mn1.20Ga	88.1/2.14	69	640
Mn1.33Ga	85.7/2.19	75	673
Mn1.50Ga	69.6/1.90	80	697
Mn1.86Ga	60.7/1.87	94	738

One can see that for Mn1.15Ga the saturation magnetization (Ms) has a value of 92.0 emu/g, which is amongst the highest reported Ms of rare earth free permanent magnetic materials.

Before analyzing the results we decided that it would be prudent to recalculate the magnetic moment per unit cell of MnGa using the most accurate DFT calculation with the FLAPW (full potential linearized plane-wave) code. Our result is in very good agreement with that of references12.

The influence of Mn content on the intrinsic magnetic properties of Mn1 + xGa alloys is clearly seen in Table 2. As the Mn content decreases from 1.86 to 1.15, the Ms of the alloys increases rapidly from 60.7 emu/g to 92.0 emu/g. This change in Ms is consistent with the model proposed in ref. 8. On the other hand, Ha and TC of the alloys decrease monotonically with the decrease of Mn content. Even with this decrease, Ha and TC of the Mn1.15Ga alloy are 66 kOe and 595 K, respectively, which are comparable with those of Nd2Fe14B. Therefore, the overall intrinsic magnetic properties (Ms, Ha, and TC) of the Mn1 + xGa alloys (especially for alloys with x ≤ 0.33) indicate their great potential as novel permanent magnetic materials.

Figure 5 shows the composition dependence of the saturation magnetization, measured at 5 K, of the Mn1 + xGa alloys. The solid red square denotes the calculated value for MnGa (x = 0). A linear extrapolation of the data, green dotted line, predicts a value of Ms = 98 emu/g for MnGa. This is 15% lower than that calculated for the ordered MnGa structure. The difference between the extrapolated and the calculated values is most likely due to the extrapolation from the disordered Mn1 + xGa structures. Nevertheless, even this reduced Ms gives a maximum energy product of 20 MGOe for MnGa.

Figure 5

Composition dependence of saturation magnetization at 5 K (black squares), of Mn1 + xGa alloys.

The red circle denotes the calculated value1, and the green dotted line is a linear fit to our data.

To achieve a high (BH)max in MnGa alloys, however, major experimental efforts are necessary. For example, magnetic hardening should be accomplished in advance since the high coercivity is crucial for permanent magnets. Equally important is to induce a strong crystallographic texture to provide a high remanence ratio (Mr/Ms) leading to a high (BH)max.

Conclusion

In summary, structure and intrinsic magnetic properties were studied for a series of single-phase Mn1 + xGa (0 < x < 1) alloys. The net magnetic moment in the Mn1 + xGa system increases monotonically with decreasing Mn content. This behavior is consistent with extra Mn atoms occupying Ga sites and coupling antiferromagnetically with the rest of the Mn atoms. We report the highest value of 92 emu/g for the x = 0.15 alloy. Mn1 + xGa alloys (x ≤ 0.33) exhibit excellent intrinsic magnetic properties. An extrapolated value of 20 MGOe for (BH)max is predicted for stoichiometric disordered MnGa alloy, demonstrating the great potential of Mn1 + xGa alloys as novel permanent magnetic materials.

Methods

A series of tetragonal Mn1 + xGa (x = 0.15, 0.20, 0.33, 0.50, and 0.86) alloys were prepared by induction melting high purity gallium (99.9 wt.%) and manganese (99.5%) in an argon atmosphere. To compensate for evaporation losses during melting, an extra 3 wt.% Mn was added to the alloys. The as-melted ingots were then annealed in a tubular vacuum furnace at temperatures, Ta, ranging from 700 K to 900 K for annealing times, ta, extending from one day to up to one week. The ingots were subsequently quenched into ice water. The annealing step is crucial for obtaining single-phase alloys. Due to the complexity of the Mn-Ga binary phase diagram, the annealing temperature rangeis quite narrow and the optimum choice depends critically on the composition of the alloy. The annealing temperatures were 740 K, 825 K and 870K for x = 0.15, 0.20 and 0.33, respectively, and 885K for the alloys with higher Mn content. While the annealing temperature was critically important, the annealing time did not appear to play a major role and we did not observe any significant differences between samples annealed for 2 and 7 days. The crystal structures were determined by x-ray diffraction with Cu-Kα radiation. For one composition, x = 0.33, the structure was investigated using neutron powder diffraction (NPD) datacollected on the BT1 high-resolution powder neutron diffractometer located at the NIST Center for Neutron Research with monochromatic neutrons of wavelength 1.5403 Å produced by a Cu (311) monochromator. Rietveld refinement was performed using the GSAS/EXPGUI program13. Magnetic properties were measured using a Quantum Design physical properties measurement system (PPMS) magnetometer with a maximum magnetic field of 14 T. Temperature dependence of the magnetization was obtained from a vibrating sample magnetometer (VSM) using a field of 0.01T. From the initial magnetization and corresponding differential susceptibility curves, the values for the anisotropy field, HA, were obtained.

Additional Information

How to cite this article: Lu, Q.M. et al. Intrinsic magnetic properties of single-phase Mn1+xGa (0 < x < 1) alloys. Sci. Rep. 5, 17086; doi: 10.1038/srep17086 (2015).