Elasticity, Anisotropy and Magnetism of Anti-perovskite M{sub 3}AlC (M=Ti, Fe, Sm) from First-Principle Calculations
Elasticity, anisotropy, and magnetism of anti-perovskite M{sub 3}AlC (M=Ti, Fe, Sm) have been calculated and investigated via non-relativistic density functional theory. And the elasticity constant, elastic modulus, Poisson ratio, and Cauchy pressure of three structures have been obtained. Based on the Poisson ratio, Pugh modulus ratio, and Cauchy pressure, bonding attributes of the three materials have been analyzed. The result showed that Ti{sub 3}AlC is a brittle material with high degrees of strength, rigidity, and hardness, and Sm{sub 3}AlC and Fe{sub 3}AlC possess excellent toughness. Based on the universal elastic anisotropy index A{sup U}, anisotropy fraction ratios A{sub B}, A{sub G}, and A{sub E},and Zener factor A, it showed that all three M{sub 3}AlC structures demonstrated elasticity and anisotropy. The elasticity and anisotropy of the three M{sub 3}AlC structures has been illustrated in three-dimensional images of the elastic modulus. Compared with Ti{sub 3}AlC and Fe{sub 3}AlC, Sm{sub 3}AlC has a significantly higher level of anisotropy. Moreover, in this paper, the magnetism of transition metal Fe and rare earth element Sm in the M{sub 3}AlC structure has been compared and analyzed from the perspective of the electronic structure and population analysis.