On the pressure difference ranges which assure a specified gap size for semiconductor crystals grown in terrestrial dewetted Bridgman

Braescu, L.

doi:10.1016/j.jcrysgro.2009.10.058

Cited by 6 publications

(7 citation statements)

References 24 publications

(42 reference statements)

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“…holds, the static stability [31] of the menisci for which the gap thickness is less than e 2 is ensured. On the basis of Statement 1, the function ψ (which depends on the crystal radius r c and on the value of i, ψ = ψ (r c , i)) can be built.…”

Section: Commentmentioning

confidence: 98%

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Dewetted Bridgman crystal growth: practical stability over a bounded time period in a forced regime

et al. 2011

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Dewetted Bridgman crystal growth: practical stability over a bounded time period in a forced regimeSt. Balint · S. Epure · T. Duffar · L. Braescu Abstract The concept of practical stability is applied to the case of dewetted Bridgman crystal growth on Earth, in a simplified configuration. Taking into account both heat transfer and capillarity, it is formally demonstrated that the process is stable in case of convex menisci, provided that pressure fluctuations remain in a range which can be computed. The theoretical concepts are illustrated by examples involving InSb and GaSb crystal growth. It is concluded that practical stability gives valuable knowledge of the dynamics of the studied technique and could be usefully applied to other crystal-growth processes, especially those involving capillary shaping.Keywords Dewetted Bridgman technique · Non-Lyapunov stability · Nonlinear system · Semiconductors · Single crystal growth model 1 Introduction "Dewetting" refers to a phenomenon that has occurred spontaneously during many experiments of Bridgman solidification of semiconductors in space (see reviews [1,2]). It also refers to a process developed for crystal growth on Earth (see review in [3]). In both cases, the crystal is grown without interaction with the crucible, which considerably improves the structural quality of the material: less residual stresses, dislocations, spurious nucleation or twins. The origin of the gap between the crystal and the crucible comes from a small liquid meniscus at the level of the solid-liquid interface [4]. While the phenomenon is spontaneous under microgravity conditions, because of the lack of hydrostatic pressure, it has been adapted on Earth by applying on the liquid a gas pressure difference,

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Section: Commentmentioning

confidence: 98%

“…The ranges of p and h for the problem (30)- (31) are discussed in the Appendix (Theorems 1-3); based on these results the following statement is established:…”

Section: Equation Governing Gap-size Evolutionmentioning

confidence: 99%

Dewetted Bridgman crystal growth: practical stability over a bounded time period in a forced regime

et al. 2011

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“…These results suggest that gravity can act as a stabilizing influence. Recent work by Braescu indicates that the meniscus shape under these conditions can be unstable to mechanical perturbations [31], however, demonstrating the sensitive interplay of statics and dynamics in determining the feasibility of detached growth.…”

Section: Theoretical Studies Of Detached Bridgman Growthmentioning

confidence: 99%

Existence, stability, and nonlinear dynamics of detached Bridgman growth states under zero gravity

Yeckel

Derby

2011

Journal of Crystal Growth

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“…Inequalities of the pressure intervals for which dewetted is feasible were established 37,41-43 and the globally convex, concave-convex, globally concave or convex-concave menisci were computed. Then, from the obtained pressure ranges those pressures were chosen for which the menisci are statically stable, i.e., physically realizable [44][45][46] . One of the important characteristics of dewetting on the ground is the self stabilizing gas pressure difference: it was observed that, once the process has begun, it is no more necessary to adjust the pressure difference.…”

Section: Fig 1 Schematic Dewetted Bridgman Crystal Growth Systemmentioning

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Influence of the dewetting phenomenon on the zinc distribution in CdZnTe crystals grown by dewetted Bridgman technique

Braescu

2010

SPIE Proceedings

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The unusual thermophysical properties (high melt viscosity, large latent heat of fusion, fairly large equilibrium segregation coefficient, etc.) cause considerable difficulty in maintaining uniform zinc composition in the CdZnTe grown crystals. However, industrial applications still require larger high structural quality and homogeneous single crystals with a very low dislocation density, no grains nor twins. These improvements are facilitated by dewetting phenomenon in which the crystal is grown detached from the ampoule wall by a liquid free surface at the level of the solid-liquid interface, called liquid meniscus, which creates a gap between the grown crystal and the ampoule wall.In order to evaluate numerically Zn distribution in CdZnTe crystals grown by dewetted Bridgman technique using a pyrolitic boron nitride (pBN)-coated quartz ampoule, a pseudo quasi-steady state model is considered. The coupled incompressible Navier-Stokes in Boussinesq approximation, convection-conduction and conservative convectiondiffusion equations are solved by finite element technique through COMSOL Multiphysics software in the framework of a 2D axisymmetric geometry. Due to the existence of the free surface (meniscus), the Marangoni effect is considered and for its implementation the weak form of the boundary application mode is employed. The effect of the dewetting phenomenon on the zinc distribution is discussed and compared with data reported for crystals grown by classical Bridgman technique.

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On the pressure difference ranges which assure a specified gap size for semiconductor crystals grown in terrestrial dewetted Bridgman

Cited by 6 publications

References 24 publications

Dewetted Bridgman crystal growth: practical stability over a bounded time period in a forced regime

Dewetted Bridgman crystal growth: practical stability over a bounded time period in a forced regime

Existence, stability, and nonlinear dynamics of detached Bridgman growth states under zero gravity

Influence of the dewetting phenomenon on the zinc distribution in CdZnTe crystals grown by dewetted Bridgman technique

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