Abstract:
The search of optimal structures of magnesium germanide Mg$_2$Ge under pressure has been performed using the software suite USPEX implementing the evolution algorithm combined with the density functional theory (DFT) approach. It is found that at pressures $P\ge$ 15 GPa the triclinic P1 and P-1, monoclinic P2$_1$/c, orthorhombic Amm2 and trigonal P3m1 structures can coexist besides the well-known cubic Fm3m, orthorhombic Pnma and hexagonal P63/mmc ones. The new discovered structures are unstable due to potential relief complexity. They transform into orthorhombic Pnma structure at pressures $P<$ 14 GPa or hexagonal P6$_3$/mmc structure at pressures $P>$ 17 GPa.