Vertical Bridgman Technique and Dewetting

Duffar, T.; Sylla, L.

doi:10.1002/9781444320237.ch6

Cited by 19 publications

(34 citation statements)

References 82 publications

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“…It should be pointed out that this is an absolute stability criterion, not partial stability or capillary stability only. The experimental observations under microgravity conditions have shown that the crystal-crucible gap is remarkably stable [4], this is in agreement with the above analysis. In conclusion, when dewetting is spontaneous under microgravity conditions it is necessarily stable (provided that the pressure difference is maintained constant at a reasonable value).…”

supporting

confidence: 92%

Comment on the paper “Contribution to the stability analysis of the dewetted Bridgman growth under microgravity conditions”

Duffar¹,

Epure²

2010

Cryst. Res. Technol.

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supporting

confidence: 92%

Comment on the paper “Contribution to the stability analysis of the dewetted Bridgman growth under microgravity conditions”

Duffar¹,

Epure²

2010

Cryst. Res. Technol.

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“…2,3,5] for studying the stability of some kinds of aeroplane movements. In the western literature, the non-Lyapunov stability concept was introduced by La Salle and Lefschetz [17,Chaps.…”

Section: Practical Stability Over a Bounded Time Interval In A Forcedmentioning

confidence: 99%

“…These equations are written for the simplified case of Fig. 1, where a lateral insulated ampoule, containing the melt and the crystal, moves in a furnace with constant vertical temperature gradient, and a gas pressure difference is applied with the help of an external controller [3]. This gas-pressure difference appears only in the equation governing the gap-thickness evolution as a forcing term expressed by an input function, the unknown part of which is i(t).…”

mentioning

confidence: 99%

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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“…The mechanisms leading to detached Bridgman growth are now generally understood and overviews of the technique include those by Cröll and Volz [3] and Duffar and Sylla [4]. Detached growth requires that there exist solutions to the Young-Laplace equation, which relates the shape of the meniscus at the bottom of the melt to the pressure differential across the meniscus.…”

Section: Introductionmentioning

confidence: 99%

Shape evolution of detached Bridgman crystals grown in microgravity

Volz

Mazuruk

2014

Crystal Research and Technology

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Detached (or dewetted) Bridgman crystal growth defines that process in which a gap exists between a growing crystal and the crucible wall. In microgravity, the parameters that influence the existence of a stable gap are the growth angle of the solidifying crystal, the contact angle between the melt and the crucible wall, and the pressure difference across the meniscus. During actual crystal growth, the initial crystal radius will not have the precise value required for stable detached growth. Beginning with a crystal diameter that differs from stable conditions, numerical calculations are used to analyze the transient crystal growth process. Depending on the initial conditions and growth parameters, the crystal shape will either evolve towards attachment at the crucible wall, towards a stable gap width, or inwards towards eventual collapse of the meniscus. Dynamic growth stability is observed only when the sum of the growth and contact angles exceeds 180°.

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Vertical Bridgman Technique and Dewetting

Cited by 19 publications

References 82 publications

Comment on the paper “Contribution to the stability analysis of the dewetted Bridgman growth under microgravity conditions”

Comment on the paper “Contribution to the stability analysis of the dewetted Bridgman growth under microgravity conditions”

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

Shape evolution of detached Bridgman crystals grown in microgravity

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