Crystal Growth from the Melt

Edge facet dynamics during the growth of heavily doped n-type silicon by the Czochralski-method

“…Additionally, one has to consider that convection in the melt also increases Tillers' stability criterion by shearing-off the diffusion boundary layer. For the case of a segregation coefficient k 0 < 1 Carruthers expressed this effect by multiplying the criterion with the effective distribution coefficient k eff [30]. Thus, the most critical location proves to be the juncture between the atomically rough interface region and the smooth {111} facets.…”

The shapes and stability of captive rotating drops

“…The problem solved here is representative: the shape and stability of a rigidly rotating liquid drop held captive, in the absence of gravity, between two parallel, circular, solid faces co-rotating about their common axis as shown in figure 2. This problem is practically important because of its relation to the float-zone process for refining molten materials and producing single crystals (Carruthers 1975;Carruthers & Grasso 1972 a, b ;C oriell et perfectly cylindrical captive drop, or liquid column, of the same radius as the solid faces is an equilibrium drop configuration, though its stability is another matter. The stability of cylindrical captive drops with respect to axisymmetric and to certain non-axisymmetric shapes was analysed by Hardy &Coriell (1974), andFowle et al (1976) also conducted experiments to elucidate the instabilities of rotating cylindrical drops, but their results differed and led to conflicting inter pretations.…”