Magneto-thermal properties and magnetocaloric effect of $\mathrm{E}\mathrm{r}\mathrm{F}{\mathrm{e}}_2$ have been studied. Molecular field theory has been applied on $\mathrm{E}\mathrm{r}\mathrm{F}{\mathrm{e}}_2$ to calculate the magnetization and the magnetic contribution to the heat capacity and entropy. Our calculation shows that $\mathrm{E}\mathrm{r}\mathrm{F}{\mathrm{e}}_2$ is a ferrimagnetic compound with a compensation temperature of around 475 K and a Curie temperature of 596 K. Applying magnetic field to $\mathrm{E}\mathrm{r}\mathrm{F}{\mathrm{e}}_2$ induces canting in moments of the Er sublattice. Density functional theory, as implemented in Wien2k code, was used to evaluate the density of states at Fermi energy to calculate the electronic contribution of heat capacity and entropy. We used available values of the shear and bulk moduli to evaluate the Debye temperature in order to calculate the lattice contribution to the heat capacity and entropy. We calculated the magnetocaloric quantities, namely isothermal magnetic entropy change ${\left(\mathrm{\Delta }{\mathrm{S}}_{\mathrm{m}}\right)}_{\mathrm{i}\mathrm{s}\mathrm{o}}$ and adiabatic temperature change Δ${\mathrm{T}}_{\mathrm{a}\mathrm{d}}$, for magnetic fields up to 6 T and temperatures up to 800 K. For an applied field change of 6 T, ${\left(\mathrm{\Delta }{\mathrm{S}}_{\mathrm{m}}\right)}_{\mathrm{i}\mathrm{s}\mathrm{o}}$ was found to be ≈0.23 J/mole K, while the maximum inverse magnetocaloric effect was found to be $\approx 0.13$ J/mole K. The maximum adiabatic change ${|\mathrm{\Delta }{\mathrm{T}}_{\mathrm{a}\mathrm{d}}|}_{\mathrm{m}\mathrm{a}\mathrm{x}}\mathrm{i}\mathrm{s}$ ≈ 0.5 K per Tesla.

磁热性质和磁热效应。 $\mathrm{Ë}\mathrm{[R}\mathrm{F}{\mathrm{Ë}}_2$已经研究过了。分子场论已被应用于$\mathrm{Ë}\mathrm{[R}\mathrm{F}{\mathrm{Ë}}_2$计算磁化强度和磁性对热容量和熵的贡献。我们的计算表明$\mathrm{Ë}\mathrm{[R}\mathrm{F}{\mathrm{Ë}}_2$ 是一种铁磁化合物，补偿温度约为475 K，居里温度为596K。 $\mathrm{Ë}\mathrm{[R}\mathrm{F}{\mathrm{Ë}}_2$在Er亚晶格的瞬间引起倾斜。使用在Wien2k代码中实现的密度泛函理论来评估费米能量下的状态密度，以计算热容量和熵的电子贡献。为了计算晶格对热容和熵的贡献，我们使用了剪切模量和体积模量的可用值来评估德拜温度。我们计算了磁热量，即等温磁熵变${\left(\mathrm{\Delta }{\mathrm{小号}}_{\mathrm{米}}\right)}_{\mathrm{一世}\mathrm{s}\mathrm{Ø}}$ 和绝热温度变化Δ${\mathrm{Ť}}_{\mathrm{一个}\mathrm{d}}$，对于最高6 T的磁场和最高800 K的温度。对于6 T的外加磁场变化， ${\left(\mathrm{\Delta }{\mathrm{小号}}_{\mathrm{米}}\right)}_{\mathrm{一世}\mathrm{s}\mathrm{Ø}}$ 被发现≈0.23J / mol K，而最大逆磁热效应被发现是 $\approx 0.13$ J /摩尔K。最大绝热变化 ${|\mathrm{\Delta }{\mathrm{Ť}}_{\mathrm{一个}\mathrm{d}}|}_{\mathrm{米}\mathrm{一个}\mathrm{X}}\mathrm{一世}\mathrm{s}$ 每个特斯拉≈0.5 K