TY - JOUR
T1 - An axial temperature profile curvature criterion for the engineering of convex crystal growth interfaces in Bridgman systems
AU - Peterson, Jeffrey H.
AU - Derby, Jeffrey J.
N1 - Publisher Copyright:
© 2016 Elsevier B.V.
PY - 2017/6/15
Y1 - 2017/6/15
N2 - A unifying idea is presented for the engineering of convex melt-solid interface shapes in Bridgman crystal growth systems. Previous approaches to interface control are discussed with particular attention paid to the idea of a “booster” heater. Proceeding from the idea that a booster heater promotes a converging heat flux geometry and from the energy conservation equation, we show that a convex interface shape will naturally result when the interface is located in regions of the furnace where the axial thermal profile exhibits negative curvature, i.e., where d2T/dz2<0. This criterion is effective in explaining prior literature results on interface control and promising for the evaluation of new furnace designs. We posit that the negative curvature criterion may be applicable to the characterization of growth systems via temperature measurements in an empty furnace, providing insight about the potential for achieving a convex interface shape, without growing a crystal or conducting simulations.
AB - A unifying idea is presented for the engineering of convex melt-solid interface shapes in Bridgman crystal growth systems. Previous approaches to interface control are discussed with particular attention paid to the idea of a “booster” heater. Proceeding from the idea that a booster heater promotes a converging heat flux geometry and from the energy conservation equation, we show that a convex interface shape will naturally result when the interface is located in regions of the furnace where the axial thermal profile exhibits negative curvature, i.e., where d2T/dz2<0. This criterion is effective in explaining prior literature results on interface control and promising for the evaluation of new furnace designs. We posit that the negative curvature criterion may be applicable to the characterization of growth systems via temperature measurements in an empty furnace, providing insight about the potential for achieving a convex interface shape, without growing a crystal or conducting simulations.
KW - A1. Computer simulation
KW - A1. Directional solidification
KW - A1. Heat transfer
KW - A1. Interfaces
KW - A2. Bridgman technique
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U2 - 10.1016/j.jcrysgro.2016.09.064
DO - 10.1016/j.jcrysgro.2016.09.064
M3 - Article
AN - SCOPUS:85002398016
SN - 0022-0248
VL - 468
SP - 899
EP - 904
JO - Journal of Crystal Growth
JF - Journal of Crystal Growth
ER -