The role of Debye temperature in achieving large adiabatic temperature changes at cryogenic temperatures: a case study on $P{r}_{2}In$

Abstract

The excellent magnetic entropy change ($\Delta S_T$) in the temperature range of 20 $\sim$ 77 K due to the first-order phase transition makes $P{r}_{2}In$ an intriguing candidate for magnetocaloric hydrogen liquefaction. As an equally important magnetocaloric parameter, the adiabatic temperature change ($\Delta T_{ad}$) of $P{r}_{2}In$ associated with the first-order phase transition has not yet been reported. In this work, the $\Delta T_{ad}$ of $P{r}_{2}In$ is obtained from heat capacity measurements: 2 K in fields of 2 T and 4.3 K in fields of 5 T. While demonstrating a $\Delta T_{ad}$ that is not as impressive as its remarkable $\Delta S_T$, $P{r}_{2}In$ exhibits an unusual low Debye temperature ($T_D$) of around 110 K. Based on these two observations, an approach that combines the mean-field and Debye models is developed to study the correlation between $\Delta T_{ad}$ and $T_D$. The role of $T_D$ in achieving large $\Delta T_{ad}$ is revealed: materials with higher $T_D$ tend to exhibit larger $\Delta T_{ad}$, particularly in the cryogenic temperature range. This discovery explains the absence of an outstanding $\Delta T_{ad}$ in $P{r}_{2}In$ and can serve as a tool for designing or searching materials with both a large $\Delta S_T$ and a $\Delta T_{ad}$.

References in corpus (6)

• Magnetocaloric materials: the search for new systems
• Mastering hysteresis in magnetocaloric materials
• Machine Learning Guided Discovery of Gigantic Magnetocaloric Effect in HoB${}_2$ Near Hydrogen Liquefaction Temperature
• A study on rare-earth Laves phases for magnetocaloric liquefaction of hydrogen
• Designing magnetocaloric materials for hydrogen liquefaction with light rare-earth Laves phases
• First-order ferromagnetic transitions of lanthanide local moments in divalent compounds: An itinerant electron positive feedback mechanism and Fermi surface topological change

Cited by in corpus (2)

• A matter of performance & criticality: a review of rare-earth-based magnetocaloric intermetallic compounds for hydrogen liquefaction
• Magnetic field induced modification of a first-order ferromagnetic transition in Eu2In