The global low-energy structures of Al–Si eutectic and hypereutectic

Abstract

The atomic-scale structures of Al–Si eutectics and hypereutectic are studied by using global structure searching method combined with ab initio density functional theories. The chemical components Al₇Si, Al₆Si and Al₄Si, with silicon contents of 12.9, 14.7 and 20.6 wt%, are set for searching the lowest-energy structures. The global search results show that all of the low-energy structures demonstrate the fcc structure feature of pure aluminum crystal; while, the alloy structures distort slightly due to the addition of silicon. In the term of binding energy, the stabilities of the alloys enhance with increasing the silicon contents. The binding energies are approximated as the sum of the bond energies, and the least square fitting results give the Al–Al, Al–Si and Si–Si bond energies as − 0.624, − 0.731 and − 0.819 eV, respectively. Forming two Al–Si bonds sacrifices one Si–Si and one Al–Al bonds, and the Al–Si alloys have an energy gain of − 0.019 eV. It suggests that dispersion of silicon atoms in the alloys is favorable for the stability. The mechanical properties of the structures are calculated. While the bulk moduli of the alloys are very close, the shear and Young’s moduli are quite different for different structures with different distributions of silicon atoms.