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Overcoming time and complexity limitations in molecular dynamics investigations of equilibrium melting

Abstract A hybrid Monte-Carlo molecular-dynamics method for determining solidus and liquidus compositions in multicomponent systems is presented that overcomes both the time limitations in conventional molecular dynamics that prevent the evolution of distinct solid and liquid compositions via diffusion and the complexity challenge that prevents use of thermodynamic assessment in systems of many components. This hybrid method is validated in the Cu–Ni system against an independent assessment of solidus and liquidus compositions based on the regular solution model. Strategies for efficient mapping of different phase diagrams, based on the thermodynamic parameter T 0 , the temperature at which two phases of the composition X 0 have equal free energies, are presented and then demonstrated for the copper-nickel fully miscible system and the gold–silicon eutectic system. A calculation of the solidus and liquidus sampled during the equilibrium melting of equiatomic CrMnFeCoNi is performed, indicating that this method has potential to be extended to the study of many component alloys.

Au-Si↗

Materials Data on SiAu3 by Materials Project

Au3Si crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Au+1.33+ is bonded in a see-saw-like geometry to four equivalent Si4- atoms. There are two shorter (2.89 Å) and two longer (2.92 Å) Au–Si bond lengths. Si4- is bonded to twelve equivalent Au+1.33+ atoms to form a mixture of corner and face-sharing SiAu12 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Si3Au10 by Materials Project

Au10Si3 is Tungsten structured and crystallizes in the cubic I-43m space group. The structure is zero-dimensional and consists of two Au10Si3 clusters. there are three inequivalent Au+0.40- sites. In the first Au+0.40- site, Au+0.40- is bonded in a trigonal non-coplanar geometry to three equivalent Si+1.33+ atoms. All Au–Si bond lengths are 2.58 Å. In the second Au+0.40- site, Au+0.40- is bonded in a distorted single-bond geometry to one Si+1.33+ atom. The Au–Si bond length is 2.54 Å. In the third Au+0.40- site, Au+0.40- is bonded in a distorted trigonal non-coplanar geometry to three equivalent Si+1.33+ atoms. All Au–Si bond lengths are 2.62 Å. Si+1.33+ is bonded in a 8-coordinate geometry to six Au+0.40- atoms.

36 MATERIALS SCIENCE↗

Materials Data on SiAu3 by Materials Project

Au3Si is alpha bismuth trifluoride structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. there are two inequivalent Au+1.33+ sites. In the first Au+1.33+ site, Au+1.33+ is bonded to four equivalent Au+1.33+ and four equivalent Si4- atoms to form a mixture of corner, edge, and face-sharing AuSi4Au4 tetrahedra. All Au–Au bond lengths are 2.85 Å. All Au–Si bond lengths are 2.85 Å. In the second Au+1.33+ site, Au+1.33+ is bonded in a distorted body-centered cubic geometry to eight equivalent Au+1.33+ atoms. Si4- is bonded in a body-centered cubic geometry to eight equivalent Au+1.33+ atoms.

36 MATERIALS SCIENCE↗