Abstract
The magnetocaloric effect (MCE) of La0.5Ca0.1Ag0.4MnO3 (LCAMO) is simulated using a phenomenological model (PM). The LCAMO MCE parameters are calculated as the results of simulations for magnetization vs. temperature at different values of external magnetic field (Hext). The temperature range of MCE in LCAMO grew as the variation in Hext increased, eventually covering the room temperature at high Hext values. The MCE of LCAMO is tunable with the variation of Hext, proving that LCAMO is practically more helpful as a magnetocaloric (MC) material for the development of magnetic refrigerators in an extensive temperature range, including room temperature and lower and higher ones. The MCE parameters of LCAMO are practically greater than those of some MC samples in earlier works.
Introduction
The need to solve the problem of emission of hazard gases, which come out of conventional vapor refrigerators, results in increased interest in functioning magnetic refrigerator (MR), the idea of which depends on functioning magnetocaloric effect (MCE) (; ; ; , ; ; ), because the MR provides high efficiency for cooling without any negative impact on the environment and has low energy consumption, availability of mechanical stability, and fewer noise events during cooling operation (; ; , ; ; Sharma et al., 2020; ). MCE is described as a change in magnetic entropy (∆SM) with a variation in the external magnetic field (Hext) exerted on the material, causing a change in temperature (; ; , , ). Numerous research over decades have studied various magnetic materials to discover their suitability as magnetocaloric (MC) materials suitable for the MR industry (; ; ; ). It is preferable to use MC materials that have a magnetic transition type of the second degree with a suitable Curie temperature () as appropriate for use in a wide temperature range, including room temperature (; ; ). The current efforts are directed towards the use of manganite as an effective substance in MRs due to its great chemical stability during frequent use, lack of eddy current, ease of preparation, high electrical resistance, and the possibility of improving their properties through doping and changing the oxygen content (; ; ; ). Felhi et al. prepared La0.5Ca0.1Ag0.4MnO3 (LCAMO) via the ceramic method and reported an increase in Hext and an increase in broad ferromagnetic (FM) phase transition of LCAMO covering room temperature under high Hext (). These results motivate us to investigate the MCE of LCAMO, expecting that the MCE of LCAMO covers a large range of temperatures, especially cryogenic temperature and room temperature. Furthermore, it is believed that LCAMO, as a manganite, has low material processing costs, high chemical stability, and high resistivity, which are advantageous for reducing the overall eddy current heating. In this research, the MCE of LCAMO is studied using a phenomenological model (PM) to simulate the isofield magnetization vs. temperature curves, concluding with simulated ∆SM, heat capacity change (), and relative cooling power (RCP).
Theoretical Considerations
According to PM, as described in , , ), the magnetization (M) vs. temperature is simulated by:where and are values of magnetization at the onset and finalization of the FM paramagnetic transition as pointed out in Figure 1, respectively.where .
FIGURE 1
The numerical evaluation of ∆SM of LCAMO under Hext variation (ΔH) can be derived from Maxwell’s relation and derived from Eq. 1 as follows:
From Eq. 4, we can easily calculate ΔSM(T) by determining the Mi, Mf, θc, β, and γ from isofield M(T) curves. Moreover, a maximum value of ∆SM(), where , can be assessed according to the following equation:
The full-width at half-maximum () of LCAMO can be given as follows:
A magnetic cooling efficiency of LCAMO is expected by considering the magnitude of and (). RCP is calculated as follows:The of LCAMO can be given as follows ():
Results and Discussion
At values of Hext <5 T, there are two magnetic transitions of LCAMO, as can be observed in Figure 2, at two different temperatufvariation, which is about 57% of the correspondingres. It is possible that this is due to the presence of a canted FM phase in the FM matrix, which can be attributed to the additional Ag content (), thus expecting two peaks in the ΔSM curves. However, at Hext = 5 T, it seems like a single magnetic transition of LCAMO, expecting a single peak in the ΔSM curve. It is possible that this is due to the presence of a strong interatomic double exchange interaction at Hext = 5 T. To simulate the MCE of LCAMO, the PM parameters (Mi, Mf, ɵc, β, and α) of LCAMO for each magnetic transition were determined directly from experimental data (isofield magnetization vs. temperature) as in ). We can see from Figure 2 that there is a good agreement between the experimental and theoretical results of M(T), confirming the good fit of this model for simulating the MCE of LCAMO. This work demonstrates the good coincidence between the experimental data and the continuous curves given by PM, indicating that this model allows us to predict the MCE for LCAMO under different magnetic fields. The M(T) curves of LCAMO demonstrate the magnetic transition from the FM phase to a paramagnetic one under different magnetic fields. The increases as Hext increases due to the increased alignment of the local spins, resulting in an increase in the interatomic double exchange interaction. As shown in Figure 3A, there are two peaks in the ΔSM(T) curves when Hext <5 T. However, at Hext = 5 T, there is a single peak in the ΔSM curve due to the large interatomic double exchange. ∆SM reaches a peak of 2.75 J/kg K. Though the maximum ∆SM is 2.75 J/kg K upon 5T applied field variation, which is about 57% of the corresponding value of the compound that belongs to the same system as La0.5Ca0.2Ag0.3MnO3 (∆SMax = 4.8 J/kg K upon 5 T), the value of RCP (273.5 J/kg upon 5 T) is larger, and the ∆SM distribution of LCAMO is much more broad than that of La0.5Ca0.2Ag0.3MnO3 (RCP = 168 J/kg = 35 upon 5 T), covering a wider range of temperature (). Figure 3B shows that ∆SM(T) was calculated by Maxwell relation from experimental isothermal magnetization as a function of H in Ref. 31, and ∆SM(T) was calculated by PM, ranging between 240 and 270 K and covering the highest temperature transition. There is a good agreement and approach between the calculated results of both Maxwell relation and PM. Therefore, these results confirm that Eq. 4 still holds at ΔH of 0.5, 1, 3, and 5 T.
FIGURE 2
FIGURE 3

(A) ∆SM and (B) ∆SM(T) was calculated by Maxwell relation, and ∆SM(T) was calculated by a phenomenological model.
Figure 4 shows that ∆CP,H(T) has an inverse change from a negative change to a positive one at around for each magnetic transition, causing a modification in the total specific heat. This oscillating temperature dependence of ∆CP,H(T) at different temperatures is a reflection of ΔSM(T) behavior. The behavior of |∆SM| and ∆CP,H(T) curves suggests how the range of temperature for functioning LCAMO in the MR can be expanded. It is clear that the |∆SM| and ∆CP,H peaks of LCAMO extend over a large temperature range. This temperature range of |∆SM| and ∆CP,H expanded with increasing variation in Hext, i.e., the peaks broaden, covering room temperature upon high values of ∆H. This indicates that larger |∆SM| and ∆CP, H are expected at higher values of ∆H. Moreover, the variation of Hext allows the tuning of of LCAMO. This tunable makes LCAMO practically more helpful for the development of MRs.
FIGURE 4

∆CP,Hvs. temperature for La0.5Ca0.1Ag0.4MnO3.
Figures 5–8 show the values of |∆SMax|, δTFWHM, RCP, and ∆CP,H(Max) (maximum value of ∆CP,H) for LCAMO, respectively. It is clear that |∆SMax|, RCP, and ∆CP,H(max) show a general increase with an increase in ∆H due to enhancing the variations of alignment in the local spins with an increase in ∆H, resulting in an increase in MC properties.
FIGURE 5

|∆SMax| vs. ∆H for La0.5Ca0.1Ag0.4MnO3.
FIGURE 6

δTFWHMvs. ∆H for La0.5Ca0.1Ag0.4MnO3.
FIGURE 7

Relative cooling power vs. ∆H for La0.5Ca0.1Ag0.4MnO3.
FIGURE 8

∆CP,H(max) vs. ∆H for La0.5Ca0.1Ag0.4MnO3.
These large values of |∆SMax|, δTFWHM, RCP, and ∆CP,H(Max) in LCAMO prevailed as well in perovskite manganite due to the strong coupling between spin and lattice (
Table 1 gives a comparative importance of the MCE parameters of LCAMO with those of various materials in terms of the high values of ΔH in previous works (
TABLE 1
| Compounds | (K) | ∆H (T) | |∆SMax| (J/kg K) | Relative cooling power (J/kg) | Reference |
|---|---|---|---|---|---|
| LCAMO | 282 | 5 | 2.75 | 273.5 | This work |
| Fe68.8Cr11.2Si6B14 | 300 | 5 | 1.8 | 340.2 | |
| Yb0.9Er0.1MnO3 | 3.7 | 8 | 2 | 23.1 | |
| Yb0.8Er0.2MnO3 | 3.7 | 8 | 2.1 | 23.8 | |
| Fe68Cr12Si8B12 | 360 | 5 | 2.1 | 310 | |
| La0.5Ca0.5Mn0.9V0.1O3 | 263 | 5 | 2.42 | 162.8 | |
| SmCrO3 | 190 | 5 | 0.11 | 1.7 | |
| La1.1Bi0.3Sr1.6Mn2O7 | 340 | 5 | 1.65 | 134.4 | |
| La0.45Bi0.15Sr0.4CoO3 | 190 | 5 | 1.24 | 106.6 | Saadaoui et al. (2013) |
| La0.6Sr0.4CoO3 | 230 | 5 | 2.28 | 143.6 | Saadaoui et al. (2013) |
| Pr0.5K0.05Sr0.45MnO3 | 310 | 5 | 1.66 | 272.5 | |
| Pr0.5Na0.05Sr0.45MnO3 | 270 | 5 | 1.60 | 266.2 | |
| Ce0.67Sr0.33MnO3 | 48 | 5 | 1.65 | 41.41 | |
| Fe60Ru20B20 | 255 | 5 | 1.52 | 394 | |
| LaCrO3 | 288 | 9 | 0.11 | 1.1 | |
| Pr0.5Sr0.5CoO3 | 218 | 5 | 2.2 | 84 | |
| Pr0.6Sr0.4CoO3 | 204 | 5 | 1.9 | 52 | |
| La0.5Sr0.5CoO3 | 253 | 5 | 2.49 | 141.2 |
The comparison of magnetocaloric effect parameters for La0.5Ca0.1Ag0.4MnO3 (LCAMO) with corresponding ones of various magnetocaloric effect materials in high ∆H.
Conclusion
Based on thermodynamic calculation via PM, the MCE of LCAMO is simulated under different values of variation in Hext. The MCE of LCAMO is strongly tunable with the value of the variation of Hext. Therefore, LCAMO can be used over a wide temperature range as an effective material for MR, covering a large range of temperatures, including room temperature and lower and higher ones. The MCE of LCAMO is tunable with the variation of Hext, proving that LCAMO is practically more helpful as a MC magnet for the development of MRs in an extensive temperature range, including room temperature. The values of the MCE parameters of LCAMO are practically greater than the MCE ones of some MC samples in earlier works.
Statements
Data availability statement
The original contributions presented in the study are included in the article/supplementary material. Further inquiries can be directed to the corresponding author.
Author contributions
All authors listed have made a substantial, direct, and intellectual contribution to the work and approved it for publication.
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Publisher’s note
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.
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Summary
Keywords
magnetocaloric effect, phenomenological model, phase transition, perovskite, entropy change
Citation
Hamad MA and Alamri HR (2022) Investigations on Strong-Tuned Magnetocaloric Effect in La0.5Ca0.1Ag0.4MnO3. Front. Mater. 9:832703. doi: 10.3389/fmats.2022.832703
Received
10 December 2021
Accepted
04 January 2022
Published
08 February 2022
Volume
9 - 2022
Edited by
Wissem Cheikhrouhou-Koubaa, Centre de Recherche en Numérique de Sfax (CRNS), Tunisia
Reviewed by
Rachid Masrour, Sidi Mohamed Ben Abdellah University, Morocco
Gaofeng Wang, Inner Mongolia University of Science and Technology, China
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© 2022 Hamad and Alamri.
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*Correspondence: Mahmoud A. Hamad, m_hamad76@yahoo.com
This article was submitted to Semiconducting Materials and Devices, a section of the journal Frontiers in Materials
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All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.