中文摘要：

The plane-wave pseudo-potential method within the framework of first principles is used to investigate the structural and elastic properties of Mg 2 Si in its intermediate pressure(Pnma) and high pressure phases(P 6 3 /mmc).The lattice constants,the band structures.The bulk moduli of the Mg 2 Si polymorphs are presented and discussed.The phase transition from anti-cotunnite to Ni 2 In-type Mg 2 Si is successfully reproduced using a vibrational Debye-like model.The phase boundary can be described as P = 24.02994 + 3.93 × 10 3 T 4.66816 × 10 5 T 2 2.2501 × 10 9 T 3 + 2.33786 × 10 11 T 4.To complete the fundamental characteristics of these polymorphs we have analysed thermodynamic properties,such as thermal expansion and heat capacity,in a pressure range of 0-40 GPa and a temperature range of 0-1300 K.The obtained results tend to support the available experimental data and other theoretical results.Therefore,the present results indicate that the combination of first principles and a vibrational Debye-like model is an efficient scheme to simulate the high temperature behaviours of Mg 2 Si.

英文摘要：

The plane-wave pseudo-potential method within the framework of first principles is used to investigate the structural and elastic properties of Mg2Si in its intermediate pressure （Pnma） and high pressure phases （P63/mrnc）. The lattice constants, the band structures. The bulk moduli of the Mg2Si polymorphs are presented and discussed. The phase transition from anti-cotunnite to Ni2In-type Mg2Si is successfully reproduced using a vibrational Debye-like model. The phase boundary can be described as P = 24.02994 ＋ 3.93 × 10^-3T -- 4.66816 × 10^-5T2 -- 2.2501 × 10^-9T3＋ 2.33786 × 10^-11T4. To complete the fundamental characteristics of these polymorphs we have analysed thermodynamic properties, such as thermal expansion and heat capacity, in a pressure range of 1-40 GPa and a temperature range of 0-1300 K. The obtained results tend to support the available experimental data and other theoretical results. Therefore, the present results indicate that the combination of first principles and a vibrational Debye-like model is an efficient scheme to simulate the high temperature behaviours of Mg2Si.