Theoretical study on the stability,electronic, mechanical,vibrational and thermodynamic properties of rare-earth intermetallic compound Rh3Ce

The structural, stability, electronic, mechanical, vibrational and thermodynamic properties of rare-earth intermetallic compound Rh₃Ce have been explored systematically by using first-principle calculations. The evaluation of the equilibrium lattice parameters were obtained firstly. Remarkably, the result of calculated unit cell volume, derived by the total energies as a function of volume, is consistent with other results. Next, the values of cohesive energy (E_c), formation enthalpy (ΔH) have verified that Rh₃Ce is a stable compound. In addition, the band structure and the total density of states indicate a metallic behaviour. Furthermore, the Mulliken charges were calculated to understand the bonding in Rh₃Ce compound. Otherwise, the elastic constants(C_ij) as well as other modulus were also calculated to evaluated the mechanical properties of Rh₃Ce. Phonon dispersion curves for Rh₃Ce were depicted to access the vibrational properties. Finally, the thermodynamic properties of Rh₃Ce were summarised range from 0 to 60?GPa, 0 to 1800?K, respectively. We also pointed out that the thermal expansion(α), heat capacity(C_v), entropy(S), Debye temperature(Θ) and Güneisen parameter (γ) change under pressure and temperature.