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This work investigates the crystal structure, stability, mechanical properties, electronic properties, effective masses, and optical properties of Si-Ge alloys in the P-3m1 phase. The elastic constants and phonon spectra proven that the Si-Ge alloys in the P-3m1 phase have mechanical and dynamic stability. The bulk modulus, shear modulus and Young’s modulus of Si-Ge alloys in the P-3m1 phase decrease with the increase of Ge composition, and the three-dimensional diagram of Young's modulus and effective mass show that the mechanical and transport properties have anisotropy. The Si12Ge12 in the hP24 phase is a quasi-direct band gap semiconductor material with a band gap of 1.081 eV, while the Si30−x Ge x alloy (x = 6, 12, 18, 24) in the hP30 phase are all direct band gap semiconductor materials with the band gaps of 0.541 eV, 0.430 eV, 0.561 eV, and 0.387 eV, respectively. The hP30-Si6Ge24 has a very small effective electron mass. The hP24-Si12Ge12 show excellent absorptive capacity in the visible and infrared region region. Based on this work, Si-Ge alloys in the P-3m1 phase are promising materials for photovoltaic applications.

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