The effect of a periodic movement on the die of the bottom line of the melt/gas meniscus in the case of edge-defined film-fed growth system

Abstract In this paper the usual model which permits to describe the evolution of the radius r = r ( t ) and of the meniscus height h = h ( t ) in the case of filament growth from the melt by edge-defined film-fed growth method is considered. What is specific is that the bottom line of the melt/gas meniscus is movable on the die. The main objective is to show that a periodic movement of the bottom line leads to a periodic change of the crystal radius (as it was observed by practical crystal growers) and to show that this effect can be compensated for example by an adequate periodic change of the pulling rate.

[1]  Die optimal shape in a crystal growth process , 2000 .

[2]  J. Kalejs,et al.  Interface shape studies for silicon ribbon growth by the EFG technique: I. Transport phenomena modeling , 1983 .

[3]  T. Surek,et al.  The growth of shaped crystals from the melt , 1980 .

[4]  V. Borodin,et al.  Development of the Stepanov (edge-defined film-fed growth) method: variable shaping technique and local dynamic shaping technique , 1999 .

[5]  J. Kalejs,et al.  Analysis of operating limits in edge-defined film-fed crystal growth , 1983 .

[6]  K. Hoshikawa,et al.  Growth of TiO2 ribbon single crystals by edge-defined film-fed growth method , 1993 .

[7]  R. Siegel,et al.  Refractive Index and Scattering Effects on Radiation in a Semitransparent Laminated Layer , 1994 .

[8]  Takao Tsukada,et al.  Effect of wetting of melt against die surface on the edge-defined film-fed growth of oxide crystals , 2003 .

[9]  R. Siegel,et al.  Refractive index effects on radiative behavior of a heated absorbing-emitting layer , 1992 .

[10]  M. Modest.  Radiative heat transfer , 1993 .

[11]  Robert A. Brown,et al.  Thermal-capillary analysis of small-scale floating zones: Steady-state calculations , 1986 .

[12]  E. Brener,et al.  Crystallization stability during capillary shaping: II. Capillary stability for arbitrary small perturbations , 1980 .

[13]  B. Roux,et al.  Some problems of stability analysis of movable meniscus , 1995 .

[14]  V. Tatartchenko,et al.  Shaped Crystal Growth , 1993 .

[15]  T. Tsukada,et al.  Effect of internal radiative heat transfer on interface inversion in Czochralski crystal growth of oxides , 2002 .

[16]  H. Machida,et al.  Growth of TiO2 Plate Single Crystals by the Edge-Defined, Film-Fed Growth Process , 1992 .

[17]  H. Ettouney,et al.  Mechanisms for lateral solute segregation in edge‐defined film‐fed crystal growth , 1984 .

[18]  V. Yuferev,et al.  Heat transfer in shaped thin-walled semi-transparent crystals pulled from the melt , 1987 .

[19]  Control of radiative-conductive heat transfer in shaped semi-transparent crystals pulled from the melt , 1993 .

[20]  E. Brener,et al.  Crystallization stability during capillary shaping: I. General theory of capillary and thermal stability , 1980 .

[21]  B. Roux,et al.  Theoretical model of crystal growth shaping process , 1997 .

[22]  T. Tsukada,et al.  Global analysis of heat transfer in CZ crystal growth of oxide , 1994 .

[23]  C. Lan,et al.  Shape control in crystal pulling from a floating die , 1996 .

[24]  Daniel Vizman,et al.  On void engulfment in shaped sapphire crystals using 3D modelling , 2000 .

[25]  Heat transfer analysis and structure perfection of shaped semi-transparent crystals , 1993 .