Modeling the vertical Bridgman growth of cadmium zinc telluride I. Quasi-steady analysis of heat transfer and convection

Kuppurao, Satheesh; Brandon, Simon; Derby, Jeffrey J.

doi:10.1016/0022-0248(95)00219-7

Cited by 88 publications

(53 citation statements)

References 34 publications

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“…On the other hand, if the solute rejected is lighter (as in Pb-Bi), the liquid becomes hydrostatically unstable when certain parameters exceed critical values and double-diffusive convection sets in. [16,17] In a real vertical Bridgman system, in which the hot and cold zones are separated by the adiabatic insulator, a horizontal temperature gradient always exists in the liquid, [9][10][11][12][18][19][20][21][22][23][24][25][26][27] as opposed to the perfect Bridgman system with no lateral gradient discussed in the previous paragraph. It is well known that any horizontal temperature difference, however small, will initiate some convective motion.…”

Section: Introductionmentioning

confidence: 99%

A model of convection-induced oscillatory structure formation in peritectic alloys

Mazumder

Trivedi

Karma³

2000

Metall Mater Trans A

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In the two-phase region of a peritectic system, experimental studies have shown that the primary phase (␣) often forms a large treelike structure that is surrounded by the peritectic phase (␤). The formation of this novel structure has been attributed to the presence of convection in the liquid. Here, specific physical mechanisms of convection-induced treelike structure formation are proposed. A mathematical model based on advection-diffusion of solute, with prototype flows for advection, is presented and solved numerically to show that an oscillating fluid motion can give rise to a complex oscillatory, treelike structure. Three different regimes are established: diffusive, steady convective, and unsteady convective regimes. In the diffusive regime, a banded structure is predicted within a narrow composition range, and the spacing of the bands is dictated by the nucleation undercoolings of the two phases. Under steady convection, the primary phase transforms into the peritectic phase with a curved ␣:␤ interface. Finally, in the presence of oscillating convection, a treelike shape of the primary phase is predicted, as observed experimentally.

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Section: Introductionmentioning

confidence: 99%

A model of convection-induced oscillatory structure formation in peritectic alloys

Mazumder

Trivedi

Karma³

2000

Metall Mater Trans A

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“…32, except for properties of the quartz ampoule, which are taken from Ref. 26. The diameters of the submerged heater and inner and outer ampoule surfaces are 4.3 cm, 4.6 cm, and 5.4 cm, respectively.…”

Section: Resultsmentioning

confidence: 99%

“…From a macroscopic point of view, a convex interface is preferable because it minimizes the likelihood of grains nucleated at the ampoule wall propagating toward the bulk of the growing solid. 25 Our previous analyses of Bridgman systems used to grow CZT [26][27][28][29][30][31][32][33][34] have shown that achieving a convex interface is quite difficult for this material because of its large latent heat of fusion and low thermal conductivity. In addition to promoting secondary grain formation, a concave interface also causes significant compositional nonuniformity in the crystal, even when the melt is perfectly mixed.…”

Section: Vertical Bridgman Growth Of Cztmentioning

confidence: 99%

Feasibility study of cadmium zinc telluride growth using a submerged heater in a vertical bridgman system

Yeckel

Derby

2004

Journal of Elec Materi

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Computer simulations are performed to assess the feasibility of a submerged heater system for growth of cadmium zinc telluride (CZT). Adding a submerged heater to the vertical Bridgman configuration in the manner of the submerged heater method (SHM) and axial-heat-flux-close-to-the-phase-interface (AHP) systems allows superior control of the growth interface shape and significant reduction in thermal stress. Simulations demonstrate that maintaining a constant gap width between heater and growth interface is critical to achieving uniform axial segregation when using zone leveling. Radial segregation remains somewhat nonuniform, however, because of the poor mixing in the interface region.

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“…On another hand, the MATLAB language is particularly well suited to designing predictive mathematical models and developing specific algorithms [20,21]. Where, these algorithms contain operations for linear algebra, partial differential, matrix manipulation, or differential equation solving, data analysis and statistics.…”

Section: Numerical Toolsmentioning

confidence: 99%

Numerical simulation of vertical Bridgman solidification of CdZnTe

Jamai

Pateyron

Sammouda

et al. 2014

Int. J. Simul. Multidisci. Des. Optim.

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-The solidification of the singular CdZnTe in axisymetric Vertical Bridgman (VB) cavity is investigated in the current study. The numerical approach is developed by using COMSOL Multiphysics software, which is based on finite elements method (FEM) with Arbitrary Lagrangian-Euleurian (ALE) formulation allowing treating the moving interface. Numerical aspects of different parameters that affect the solidification interface and present an important factor during the crystal growth's process are presented and analyzed. Especial attention will be paid to investigate the thermophysical properties such as thermal diffusivity, heat capacity. Thermal conductivity and the effect of thermal condition specially the effect of cold temperature T c which affects significantly the concavity and the convexity of the interface for specific ranges in the solidification of CdZnTe phenomena, but it is of great importance the crystal growth experts are not it given importance. It has been shown that this properties, the effect of T c , and the variation of interface velocity affect the solid/liquid interface shape and the crystal growth process.

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Modeling the vertical Bridgman growth of cadmium zinc telluride I. Quasi-steady analysis of heat transfer and convection

Cited by 88 publications

References 34 publications

A model of convection-induced oscillatory structure formation in peritectic alloys

A model of convection-induced oscillatory structure formation in peritectic alloys

Feasibility study of cadmium zinc telluride growth using a submerged heater in a vertical bridgman system

Numerical simulation of vertical Bridgman solidification of CdZnTe

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