First-principles calculations are employed to investigate and compare the structural, elastic and optical properties of tantalum hemicarbide Ta 2 C and tantalum monocarbide TaC. Calculated lattice constants of these carbides are in good agreement with available theoretical and experimental results. The mechanical stability of these carbides is affirmed by the estimated values of elastic constants. The estimated values of Vickers hardness indicate that TaC is harder than Ta 2 C. The values of Pugh's ratio and Poisson's ratio suggest the brittle nature of both Ta 2 C and TaC. The optical properties of Ta 2 C along two polarization directions [001] and [100] are studied in details for the first time. Our study shows that the optical properties of both Ta 2 C and TaC compounds compliment the electronic structure calculations. Optical constants of Ta 2 C show significant dependence of the state of polarization of the incident electric field, and predict this material as optically anisotropic.and Dashora et al [19]. We would like to extend our computational work on optical properties of Ta 2 C. To the best of our knowledge till to date there is no experimental or theoretical data available on the optical properties of Ta 2 C. In this paper, we also pay attention to revisit the existing theoretical data of TaC and Ta 2 C for various physical properties (e.g. structural, elastic, electronic etc). DFT [20,21] calculations are executed on tantalum carbides Ta 2 C and TaC by using the Cambridge Serial Total Energy Package (CASTEP) code [22]. Here the electron-ion interaction is considered by ultrasoft pseudopotentials for both Ta 2 C and TaC [23]. Perdew-Burke-Ernzerhof (PBE) form of generalized gradient approximation (GGA) is used to treat the exchange correlation energy [24]. Minimization of total energy is achieved by the technique proposed by Broyden, Fletcher, Goldfrab and Shanno [25]. The optimization of crystal structure is done with a plane wave cut off energy of 850 eV and 18×18×10 Monkhorst-Pack grid [26] for Ta 2 C. In case of TaC, plane wave cut off energy of 950 eV and 19×19×19 Monkhorst-Pack grid are used for optimization. Convergence threshold of 1×10 −5 eV atom −1 for the total energy, 0.03 eV Å −1 for the maximum force, 0.05 GPa for maximum stress, and 0.001 Å for maximum displacement are taken for all calculations.
Computational procedure