title: Evolution of cellular structures during Ge 1-x Si x single-crystal growth by means of a modified phase-field method.
abstract: We have studied the evolution of cellular structures in Ge 1-x Si x single-crystal growth as a function of process parameters. Because these structures are much larger than those occurring during the solidification of metals, we developed a modified phase-field method, which is able to handle these structure within reasonable computer times using the real material parameters. The model has been tested for computing equilibrium shapes of crystals, dendritic growth, and cellular growth of Ni x Cu 1-x. We also performed classical molecular dynamics calculations in order to compute the diffusion coefficients of Si and Ge in melts of various compositions.
authors.affiliation: Leibniz Institute for Crystal Growth (IKZ), Max-Born-Str. 2, 12489 Berlin, Germany.
authors.forename: W
authors.initials: W
authors.lastname: Miller
authors.forename: I
authors.initials: I
authors.lastname: Rasin
authors.forename: D
authors.initials: D
authors.lastname: Stock
mesh_terms: D016880:Anisotropy; D001703:Biophysics / Q000379:methods*; D003300:Copper / Q000737:chemistry; D003460:Crystallization; D005857:Germanium / Q000737:chemistry*; D008422:Materials Testing; D008954:Models, Biological; D009532:Nickel / Q000737:chemistry; D011108:Polymers / Q000737:chemistry; D012825:Silicon / Q000737:chemistry*; D013816:Thermodynamics
chemical_list: D011108:Polymers; D005857:Germanium; D003300:Copper; D009532:Nickel; D012825:Silicon