Modelling of Convective Melt Flow and Interface Shape in Commercial Bridgman-Stockbarger Growth of CdZnTe

T. D. Rule, Ben Q. Li, K. Lynn
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Abstract

CdZnTe single crystals for radiation detector and IR substrate applications must be of high quality and controlled purity. The growth of such crystals from a melt is very difficult due to the low thermal conductivity and high latent heat of the material, and the ease with which dislocations, twins and precipitates are introduced during crystal growth. These defects may be related to solute transport phenomena and thermal stresses associated with the solidification process. As a result, production of high quality material requires excellent thermal control during the entire growth process. A comprehensive model is being developed to account for radiation and conduction within the furnace, thermal coupling between the furnace and growth crucible, and finally the thermal stress fields within the growing crystal which result from the thermal conditions imposed on the crucible. As part of this effort, the present work examines the heat transfer and fluid flow within the crucible, using thermal boundary conditions obtained from experimental measurements. The 2-D axisymetric numerical model uses the deforming finite element method, with allowance made for melt convection, solidification with latent heat release and conjugate heat transfer between the solid material and the melt. Results are presented for several stages of growth, including a time-history of the solid-liquid interface (1365 K isotherm). The impact of melt convection, thermal end conditions and furnace temperature gradient on the growth interface is evaluated. Future work will extend the present model to include radiation exchange within the furnace, and a transient analysis for studying solute transport and thermal stress.
CdZnTe商业Bridgman-Stockbarger生长中对流熔体流动和界面形状的建模
用于辐射探测器和红外衬底的CdZnTe单晶必须具有高质量和可控的纯度。这种晶体从熔体中生长是非常困难的,因为材料的低导热性和高潜热,并且在晶体生长过程中容易引入位错、孪晶和析出相。这些缺陷可能与凝固过程中的溶质输运现象和热应力有关。因此,生产高质量的材料需要在整个生长过程中进行出色的热控制。目前正在开发一个综合模型,以考虑炉内的辐射和传导,炉与生长坩埚之间的热耦合,以及由施加在坩埚上的热条件导致的生长晶体内的热应力场。作为这一努力的一部分,目前的工作检查的传热和坩埚内的流体流动,使用从实验测量得到的热边界条件。二维轴对称数值模型采用变形有限元法,考虑了熔体对流、潜热释放凝固和固体材料与熔体之间的共轭传热。给出了几个生长阶段的结果,包括固液界面的时程(1365 K等温线)。评估了熔体对流、热端条件和炉温梯度对生长界面的影响。未来的工作将扩展目前的模型,包括炉内的辐射交换,以及研究溶质输运和热应力的瞬态分析。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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