Compatibility of LaFe 13 − x − y Mn x Si y H 1.6 and Eutectic Liquid GaInSn Alloy †

: The heat transfer rate of magnetocaloric regenerators is a topic of extensive research and the cyclability of these regenerators is critical to the operation of systems with a high coefficient of performance (e.g., potentially >22, significantly higher than typical vapor compression cooling technologies). To enable a high operating frequency that will result in a high specific cooling power, the heat transfer fluid should have high thermal conductivity and lower specific heat, i.e., higher thermal diffusivity. Eutectic metal alloys possess these qualities, such as gallium–indium–tin (Galin-stan), whose thermal diffusivity has been found to be approximately an order of magnitude higher than water. For this study, the effects of eutectic liquid Galinstan exposure on the phase stability of LaFe 13 − x − y Mn x Si y H 1.6 magnetocaloric powders in an active magnetic regenerator device were investigated. The powders were characterized before and after exposure to Galinstan using X-ray diffraction, in which the phases were determined using the Rietveld refinement technique and X-ray fluorescence. It was found that after Galinstan exposure, hydrogen containing phases were present in the powder, suggesting that the hydrogen was lost from the magnetocaloric phase. The magne-tocaloric phase degradation indicates that the powder was incompatible with the Galinstan metal in an environment with moisture.

Two recent reviews on active magnetic regenerators describe the physics of the MCM interaction with a magnetic field [11] and a summary of the coefficient of performance (COP) for AMR refrigerators ranging from 0.5 to 11.2-the latter being almost a 400% increase compared to typical refrigerators [12].During an AMR cycle, the MCE is utilized by repeatedly raising and lowering the temperature of the MCM by changing the external magnetic field to create a heat-pumping effect [2,12].The MCM is usually packed in a flow conduit called the regenerator (e.g., tube).Heat transfer fluid (HTF) is alternately pumped in both directions along the axis of the regenerator to add and remove heat to and from the MCM as it undergoes magnetization and demagnetization.
High specific cooling power must be achieved for AMR heat pumps to become viable.For any given MCM and maximum magnetic field, increasing the specific cooling power necessitates a higher frequency of magnetization and demagnetization, and in turn, a higher frequency of HTF flow.Therefore, for effective heat transfer, an HTF with high thermal conductivity is preferred [13] to increase the rate of heat transfer between the MCM and the HTF.Liquid metals are especially suitable to this application due to them exhibiting orders of magnitude higher thermal conductivity than conventional liquid HTFs.Examples of liquid metal HTFs include lead [14], sodium [14,15], gallium [16], (Sn-50Bi-2Zn)-7Ga [17], and GaInSn (Galinstan) [18][19][20][21][22].Of these, Galinstan is attractive due to its nontoxicity, desirable thermal conductivity, and relatively small kinematic viscosity [21].Furthermore, Galinstan has a high surface tension (~0.72 N/m), making it unaffected by the presence of small cracks or imperfect seals when subjected to moderate pressure [23].
Although the potential performance of magnetocaloric refrigeration is high, the working fluid and MCMs are still an active area of research.Thus, the purpose of this paper is to study the compatibility of Galinstan with MCMs and the typical components used for moving fluids in AMR systems.This paper reports on the procedures and the results of the material characterization to determine the compatibility of Galinstan and La-Fe-Si-Mn-H MCM.The study aim was not to identify the mechanism of the interaction between the two components, but rather to verify the composition of the materials.X-ray diffraction (XRD) and X-ray fluorescence (XRF) were performed to identify the phases and the chemicals in the two components.From this investigation it was found that Galinstan will likely have compatibility issues in systems with common components.
Heat transfer oils are also commonly used as heat transfer fluids but their conductivity is much lower, resulting in smaller thermal diffusivities.The use of Galinstan as an HTF in an AMR that uses La-Fe-Si-Mn-H MCM was attempted due to the beneficial heat transfer properties [4].The AMR device consisted of a Halbach array (see Figure 1), which contained La-Fe-Si-Mn-H MCM (see Section 2.2 for sample details).It was designed to produce a uniform magnetic field ranging from less than 0.04 T to 1.5 T, which spanned 12 inches along the centerline of the array.The prototype was initially run at 2 Hz, in which a hot-end heat sink temperature of 35 • C and cold-end sink temperature of 27 • C were observed.Before adding Galinstan to the system, magnetic field measurements were performed at distances of 0, 1.94, 4.21, and 6.44 inches from the middle point of the array for different rotating angles.A reference angle of 0 • , which represents the minimum field angle, corresponds to the freely resting position of the array.After the magnetic field measurements, Galinstan was added to the system.Here, high-pressure hydraulic cylinders driven by linear actuators were used to pump the Galinstan through the regenerator, which was surrounded by a series of magnets to form the array.
Magnetochemistry 2024, 10, x FOR PEER REVIEW 3 of 11 for different rotating angles.A reference angle of 0°, which represents the minimum field angle, corresponds to the freely resting position of the array.After the magnetic field measurements, Galinstan was added to the system.Here, high-pressure hydraulic cylinders driven by linear actuators were used to pump the Galinstan through the regenerator, which was surrounded by a series of magnets to form the array.

La-Fe-Si-Mn-H MCM Powder Preparation
MCM powders with a composition of LaFe13−x−yMnxSiyH1.6 (x = 0.23-0.34,y = 1.23-1.30),labeled S1-S11, were obtained from Vacuumschmelze.These samples were chosen due to their potential as a working material for room-temperature magnetic refrigeration [9].The addition of hydrogen increases the Curie temperature (Tc) of the powder to room temperature, while adding Mn allows for the fine-tuning of Tc [2,4].These powders had Tc values ranging from 19.7 to 41.0 °C (see Table 1) and were used in the AMR regenerator.The as-received MCM powders were used as the baseline for comparison.Some powders were exposed to Galinstan (denoted as samples S1mix-S11mix) in an AMR experiment where Galinstan was the heat transfer fluid, as shown in Figure 1.For this experiment, the powders were placed in order from S1 to S11 inside the Halbach array.

X-ray Diffraction and Fluorescence
The XRD characterization was performed at the Institute for Advanced Materials & Manufacturing (IAMM) Diffraction Facility located at the University of Tennessee using a PANalytical Empyrean diffractometer.The X-ray consisted of a Co beam with a K-alpha

La-Fe-Si-Mn-H MCM Powder Preparation
MCM powders with a composition of LaFe 13−x−y Mn x Si y H 1.6 (x = 0.23-0.34,y = 1.23-1.30),labeled S1-S11, were obtained from Vacuumschmelze.These samples were chosen due to their potential as a working material for room-temperature magnetic refrigeration [9].The addition of hydrogen increases the Curie temperature (T c ) of the powder to room temperature, while adding Mn allows for the fine-tuning of T c [2,4].These powders had T c values ranging from 19.7 to 41.0 • C (see Table 1) and were used in the AMR regenerator.The as-received MCM powders were used as the baseline for comparison.Some powders were exposed to Galinstan (denoted as samples S1 mix -S11 mix ) in an AMR experiment where Galinstan was the heat transfer fluid, as shown in Figure 1.For this experiment, the powders were placed in order from S1 to S11 inside the Halbach array.

X-ray Diffraction and Fluorescence
The XRD characterization was performed at the Institute for Advanced Materials & Manufacturing (IAMM) Diffraction Facility located at the University of Tennessee using a PANalytical Empyrean diffractometer.The X-ray consisted of a Co beam with a K-alpha wavelength of 1.79 Å, and the diffraction angle 2θ ranged between 10 and 100 degrees.To analyze the crystal phases in the powder, phase identification and quantitative phase analysis were performed via the GSAS-II software (version 5715) [24] in combination with Highscore Plus using the Powder Diffraction File-4+ (PDF-4+) database [25].An additional qualitative analysis using XRF was performed to analyze the chemical composition of the MCM powder.The characterization was conducted using an Epsilon 1 from Malvern Panalytical via a Ag anode with a maximum voltage of 50 kV and maximum current of 0.5 mA.This instrument allows for the identification of elements ranging from F to Am.

Results and Discussion
It was also found that the prototype exhibited a cooling capacity of 34 watts for a COP of 0.4.Figure 2 shows the results of the preliminary magnetic field measurements that were performed at distances of 0, 1.94, 4.21, and 6.44 inches from the middle point of the array for rotating angles of 0-~200 • .It was found that magnetic field strength exhibited a generally increasing trend with respect to the rotation angle, wherein it increased from ~0.4 T to 1.3 T. Furthermore, the curve had a characteristically sigmoidal shape, in which the field strength appeared to saturate at angles greater than 150 • .Lastly, the similarity in the curves indicated the presence of a uniform magnetic field during the experiment.
wavelength of 1.79 Å, and the diffraction angle 2θ ranged between 10 and 100 degrees.To analyze the crystal phases in the powder, phase identification and quantitative phase analysis were performed via the GSAS-II software (version 5715) [24] in combination with Highscore Plus using the Powder Diffraction File-4+ (PDF-4+) database [25].An additional qualitative analysis using XRF was performed to analyze the chemical composition of the MCM powder.The characterization was conducted using an Epsilon 1 from Malvern Panalytical via a Ag anode with a maximum voltage of 50 kV and maximum current of 0.5 mA.This instrument allows for the identification of elements ranging from F to Am.

Results and Discussion
It was also found that the prototype exhibited a cooling capacity of 34 watts for a COP of 0.4.Figure 2 shows the results of the preliminary magnetic field measurements that were performed at distances of 0, 1.94, 4.21, and 6.44 inches from the middle point of the array for rotating angles of 0-~200°.It was found that magnetic field strength exhibited a generally increasing trend with respect to the rotation angle, wherein it increased from ~0.4 T to 1.3 T. Furthermore, the curve had a characteristically sigmoidal shape, in which the field strength appeared to saturate at angles greater than 150°.Lastly, the similarity in the curves indicated the presence of a uniform magnetic field during the experiment.Once the Galinstan was added, the pressure of the system began to continuously increase, even when the system was at rest.Over a period of one week, the pressure and the temperature of the system increased by ~207 kPa (30 psi) and 5 °C, respectively.Furthermore, a rather large hole was present in the MCM material in a section of the tube that was cut out of the AMR system.It was suspected that the hole and the increases in the system pressure and temperature were due to reactions between the Galinstan and the MCM.To test this hypothesis, material characterization was performed on the MCM before and after exposure to the Galinstan.
Figure 3a,b display the normalized intensity vs. scattering angle for the as-received and Galinstan-exposed samples.The numerous peaks throughout the diffraction pattern indicate that the samples had a highly crystalline structure.Comparison of the patterns from both figures showed no significant difference in the peak widths, suggesting that exposure to Galinstan during the experiment did not change the crystallite size in the powder.Figure 3a features the results for the as-received powders S1-S11, where the three Once the Galinstan was added, the pressure of the system began to continuously increase, even when the system was at rest.Over a period of one week, the pressure and the temperature of the system increased by ~207 kPa (30 psi) and 5 • C, respectively.Furthermore, a rather large hole was present in the MCM material in a section of the tube that was cut out of the AMR system.It was suspected that the hole and the increases in the system pressure and temperature were due to reactions between the Galinstan and the MCM.To test this hypothesis, material characterization was performed on the MCM before and after exposure to the Galinstan.
Figure 3a,b display the normalized intensity vs. scattering angle for the as-received and Galinstan-exposed samples.The numerous peaks throughout the diffraction pattern indicate that the samples had a highly crystalline structure.Comparison of the patterns from both figures showed no significant difference in the peak widths, suggesting that exposure to Galinstan during the experiment did not change the crystallite size in the powder.Figure 3a features the results for the as-received powders S1-S11, where the three largest peaks were centered at angles of 40.4 • , 44.5 • , and 54.3 • .From these results, no significant differences between the patterns were observed.Figure 3b shows the XRD patterns for the Galinstan-containing powders S1 mix -S11 mix .It was found that although the patterns were quite similar to the ones for the as-received samples, there were some key differences.As can be seen in Figure 3b, there were some additional peaks in the patterns (marked by black lines) that were not detected in the as-received powders.For samples S1 mix -S11 mix , a shoulder peak was observed at a scattering angle of ~24.9 • and additional peaks were observed at angles of 39.4 • , 41.3 • (except sample S8 mix ), and 43.5 • .For samples S9 mix -S11 mix , some additional peaks were found.These peaks were centered at 29.5 • and 49 • , while another peak was detected in sample S11 mix at an angle of 38.5 • .It was thought that these peaks may have been the result of chemical reactions and impurities during the AMR experiment.
nificant differences between the patterns were observed.Figure 3b shows the XRD patterns for the Galinstan-containing powders S1mix-S11mix.It was found that although the patterns were quite similar to the ones for the as-received samples, there were some key differences.As can be seen in Figure 3b, there were some additional peaks in the patterns (marked by black lines) that were not detected in the as-received powders.For samples S1mix-S11mix, a shoulder peak was observed at a scattering angle of ~24.9° and additional peaks were observed at angles of 39.4°, 41.3° (except sample S8mix), and 43.5°.For samples S9mix-S11mix, some additional peaks were found.These peaks were centered at 29.5° and 49°, while another peak was detected in sample S11mix at an angle of 38.5°.It was thought that these peaks may have been the result of chemical reactions and impurities during the AMR experiment.Figure 4 shows the diffraction pattern collected for S5.The inset reveals a peak on the left shoulder of each characteristic LaFeSiH peak.It should be noted that this additional peak appears for all LaFeSiH peaks, not just the three represented in the inset.The existence of these shoulder peaks is indicative of a second LaFeSiH phase with the same crystallographic space group but a slightly different lattice parameter, which was likely caused by a small difference in stoichiometry.Figure 4 shows the diffraction pattern collected for S5.The inset reveals a peak on the left shoulder of each characteristic LaFeSiH peak.It should be noted that this additional peak appears for all LaFeSiH peaks, not just the three represented in the inset.The existence of these shoulder peaks is indicative of a second LaFeSiH phase with the same crystallographic space group but a slightly different lattice parameter, which was likely caused by a small difference in stoichiometry.The results of subsequent XRF characterization of the Galinstan-exposed powder S11mix can be seen in Figure 5.The spectra consisted of five prominent peaks that were centered at energies of approximately 25.2 keV, 26.3 keV, 27.3 keV, 28.5 keV, and 29.7 keV.These results revealed that the powder contained Sn, In, and Sb (marked by a red box in the figure), although the exact amounts could not be determined due the qualitative nature of the XRF measurement.Of the detected elements, Sb was the only one that was not expected to be present and was therefore likely an impurity in the sample.This result in- The results of subsequent XRF characterization of the Galinstan-exposed powder S11 mix can be seen in Figure 5.The spectra consisted of five prominent peaks that were centered at energies of approximately 25.2 keV, 26.3 keV, 27.3 keV, 28.5 keV, and 29.7 keV.These results revealed that the powder contained Sn, In, and Sb (marked by a red box in the figure), although the exact amounts could not be determined due the qualitative nature of the XRF measurement.Of the detected elements, Sb was the only one that was not expected to be present and was therefore likely an impurity in the sample.This result indicates that the anomalous peaks observed in the XRD patterns for samples S9 mix -S11 mix from Figure 3b likely corresponded to the presence of Sb in the powder.Table 2. Results of the phase quantification analysis (wt.%) for the as-received (top) (samples S1-S11) and Galinstan-containing (bottom) MCM powders (samples S1mix-S11mix).The LaFeSiH phase has been designated as I and II to represent that there exist two phases with the same space group but slightly different lattice parameters, indicating that the two phases have slightly different stoichiometries.The results of the Rietveld refinement phase ID analysis for the as-received and Galinstanexposed MCMs are presented in Table 2, Tables S1 and S2 (Supplementary Materials).Both the as-received and Galinstan-exposed powders were found to contain the cubic phases LaFe 11.31 Si 1.61 H 1.51 (space group Fm3c (226)) and Mn 3 Si (space group Fm3m (225)), as well as a hexagonal phase La 2 O 3 (space group P3m1 (164)).The Galinstan-exposed powders were also found to consist of Ga-and Sb-containing phases, which were likely responsible for the additional peaks observed in Figure 3b.These phases consisted of the orthorhombic phase GaO(OH) (space group Pnma (62)), cubic phase GaSb (space group F43m (216)), and tetragonal phase LaMn 0.87 Sb 2 (space group P4/nmm (129)).However, it should be mentioned that the GaSb phase was only observed in samples S9 mix -S11 mix , while the LaMn 0.87 Sb 2 phase was only found in sample S11 mix .Figure 6a,b provide a more detailed comparison of sample S11 before and after Galinstan exposure (S11 mix ).Similar to Figure 3, XRD patterns are displayed for the scattering angles of 10-100 • and the peaks are indexed according to their different phases.These powders were chosen since the S11 mix powder contained the largest number of different phases, suggesting that it underwent the greatest degree of chemical reaction during the AMR experiment.Both the as-received and Galinstan-exposed powders were found to contain the cubic phases LaFe 11.31 Si 1.61 H 1.51 (space group Fm3c (226)) and Mn 3 Si (space group Fm3m (225)), as well as a hexagonal phase La 2 O 3 (space group P3m1 (164)).The Galinstan-exposed powders were also found to consist of the orthorhombic phase GaO(OH) (space group Pnma (62)), cubic phase GaSb (space group F43m (216)), and tetragonal phase LaMn 0.87 Sb 2 (space group P4/nmm (129)).The results further confirm that these impurity phases were responsible for the additional peaks observed in Figure 3b. Figure 6a,b provide a more detailed comparison of sample S11 before and after Galinstan exposure (S11mix).Similar to Figure 3, XRD patterns are displayed for the scattering angles of 10-100° and the peaks are indexed according to their different phases.These powders were chosen since the S11mix powder contained the largest number of different phases, suggesting that it underwent the greatest degree of chemical reaction during the AMR experiment.Both the as-received and Galinstan-exposed powders were found to contain the cubic phases LaFe11.31Si1.61H1.51(space group Fm3 c (226)) and Mn3Si (space group Fm3 m (225)), as well as a hexagonal phase La2O3 (space group P3 m1 (164)).The Galinstan-exposed powders were also found to consist of the orthorhombic phase GaO(OH) (space group Pnma (62)), cubic phase GaSb (space group F4 3m (216)), and tetragonal phase LaMn0.87Sb2(space group P4/nmm (129)).The results further confirm that these impurity phases were responsible for the additional peaks observed in Figure 3b.sure to Galinstan led to an average reduction of 4.87 wt.% of the original magnetocaloric LaFe 11.31 Si 1.61 H 1.51 phases.Lastly, in the as-received powder, there was also a general increase in the amount of Mn 3 Sn phase present with respect to the sample number.For more detail on the results of the Rietveld refinement, please see Tables S1 and S2.

Powder
As discussed previously, Sb-containing phases GaSb and LaMn 0.87 Sb 2 were found in samples S9 mix -S11 mix , which was near the degraded MCM matrix regions in the tube.Furthermore, the LaFe 11.31 Si 1.61 H 1.51 II phase was not observed in samples S8 mix -S11 mix , although the reason for there only being one of the MCM phases in these mixtures is not well understood.The presence of Sb in the powder may be due to trace amounts of Sb in the Galinstan or contamination due to components in the system.The contamination may have resulted from corrosion of the array materials due to Galinstan exposure [23].The Sb and Ga in the liquid eutectic formed solid GaSb, while the Sb reacted with La and Mn in the MCM matrix to form the LaMn 0.87 Sb 2 compound.
The reduction in the magnetocaloric phase was accompanied by the emergence of a GaO(OH) phase.The amount of this phase ranged from 2.2 to 10.3 wt.%.It is interesting to note that the maximum amount of this phase was observed in sample S6 mix , which was located in the middle of the regenerator tube.This phase may have resulted from a release of H from the powder, which then reacts with oxygen in the environment.Subsequently, the GaO(OH) compound may have formed via an exothermic reaction (−705.3kJ/mol [26]) of Ga with the OH anions and O 2 in the environment via the following chemical equation [27]: This exothermic reaction, therefore, may have been the reason for the observed temperature and pressure increases during the AMR experiment.However, future work will be needed to confirm this hypothesis.
The results, as presented above, provide strong evidence that the pressure and temperature increases observed during the AMR experiment were the result of chemical reactions between the liquid Galinstan and the MCM.Additionally, these reactions indicate that the MCM was not compatible with Galinstan.Despite this issue, there may be other potential MCM candidates for this AMR application such as Gd, due to its resistance to Galinstan [18].

Conclusions
For this work, the effects of liquid Galinstan exposure on the phase stability of LaFe 13−x−y Mn x Si y H 1.6 magnetocaloric powders in an AMR system were investigated.Preliminary tests showed that during the experiment, the system exhibited a uniform magnetic field that coincided with a pressure and temperature increase.The powders were characterized using XRD and XRF methods, and the phases were determined using software in combination with the Rietveld refinement technique.For the as-received powder, some oxygen-containing phases were present, while for the Galinstan-exposed MCM powder, gallium-, antimony-, oxygen-, and hydroxide-containing phases were observed.The antimony-containing phases were likely due to trace amounts of antimony being present in the Galinstan during the experiment.An exothermic reaction, which may have resulted from a reaction between the liquid Ga and OH − ion, was identified as the source of the measured pressure and temperature increases (Equation (1)) in the AMR system.The results of this study indicated that the MCM powders tested are not compatible with liquid Galinstan in the presence of aqueous hydroxide and oxygen (both found in water), suggesting further studies should be conducted in moisture-free environments.

Figure 1 .
Figure 1.AMR device consisting of a Halbach array and an HTF passing through the array, in combination with linear actuators.

Figure 1 .
Figure 1.AMR device consisting of a Halbach array and an HTF passing through the array, in combination with linear actuators.

Figure 2 .
Figure 2. Magnetic field strength vs. rotation angle data for distances of 0, 1.94 in., 4.21 in., and 6.44 from the middle point of the Halbach array.

Figure 2 .
Figure 2. Magnetic field strength vs. rotation angle data for distances of 0, 1.94 in., 4.21 in., and 6.44 from the middle point of the Halbach array.

Figure 3 .
Figure 3.The XRD patterns for the (a) as-received (samples S1-S11) and (b) Galinstanexposed (samples S1mix-S11mix) MCMs.Black lines denote the peaks not observed in the as-received powders.

Figure 3 .
Figure 3.The XRD patterns for the (a) as-received (samples S1-S11) and (b) Galinstan-exposed (samples S1 mix -S11 mix ) MCMs.Black lines denote the peaks not observed in the as-received powders.

Figure 4 .
Figure 4.The XRD pattern for sample S5.The inset features three primary peaks with shoulder peaks on them that represent the second LaFeSiH phase.

Figure 4 .
Figure 4.The XRD pattern for sample S5.The inset features three primary peaks with shoulder peaks on them that represent the second LaFeSiH phase.

Magnetochemistry 2024 , 11 Figure 5 .
Figure 5.The results of the XRF analysis of the Galinstan-exposed magnetocaloric powder S11mix.The red boxes denote the peaks that were associated with the Sb in the powder.

Figure 5 .
Figure 5.The results of the XRF analysis of the Galinstan-exposed magnetocaloric powder S11 mix .The red boxes denote the peaks that were associated with the Sb in the powder.

Table 2 .
Results of the phase quantification analysis (wt.%) for the as-received (top) (samples S1-S11) and Galinstan-containing (bottom) MCM powders (samples S1 mix -S11 mix ).The LaFeSiH phase has been designated as I and II to represent that there exist two phases with the same space group but slightly different lattice parameters, indicating that the two phases have slightly different stoichiometries.