Investigation of the meniscus stability in horizontal crystal ribbon growth

Rhodes, C.A.; Sarraf, M.M.; Liu, C.H.

doi:10.1016/0022-0248(80)90234-1

Cited by 13 publications

(5 citation statements)

References 9 publications

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“…Kudo [12] performed a similar analysis, relating the pull speed and crystal thickness by considering a macroscopic heat balance on the triangular growth wedge. Rhodes et al [22] investigated the behavior of the meniscus connecting the crucible lip to the lower surface of the HRG crystal by solving twodimensional Euler-Laplace capillary equation; however, they did not consider heat transfer effects.…”

Section: Introductionmentioning

confidence: 99%

Thermal-capillary analysis of the horizontal ribbon growth of silicon crystals

Daggolu

Yeckel

Bleil³

et al. 2012

Journal of Crystal Growth

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Section: Introductionmentioning

confidence: 99%

Thermal-capillary analysis of the horizontal ribbon growth of silicon crystals

Daggolu

Yeckel

Bleil³

et al. 2012

Journal of Crystal Growth

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“…12 More recently, numerical simulations of the heat transfer, melt convection and capillary effects problems have been analysed during the HRG process. Rhodes 13 investigated the behavior of the meniscus connecting the crucible lip to the lower surface of the HRG crystal by solving two-dimensional Euler-Laplace capillary equation; however, they did not consider heat transfer effects.Thomas and Brown 14 performed a rigorous analysis of heat transfer in the HRG system by employing the finite element method. While Thomas and Brown did compute the solid-liquid interface shape, they did not explicitly consider capillary phenomena in their HRG model, nor did they consider the effects of melt convection.…”

Section: Introductionmentioning

confidence: 99%

“…6,7 Alternatively, Rhodes ignored the impact of heat transfer by solving the twodimensional Euler equation to study the meniscus shape between the crucible and ribbon. 8 Daggolu analyzed the thermal capillary action, stable growth state, and solute segregation of HRG via numerical analysis. [9][10][11] Weinstein simulated the evolution of the melt crystallization interface in a large melt growth system.…”

Section: Introductionmentioning

confidence: 99%

Simulating the horizontal growth process of silicon ribbon

et al. 2018

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In this paper, we present a solidification growth model that primarily describes the principal components of horizontal ribbon growth process, but also discusses the interaction between fluid flow and heat transfer, crystallization dynamics, and the effects of oxygen impurity distribution in melts, particularly with respect to the morphology of the interface. The effects of the jet cooling rate, pulling speed, and transfer coefficient on solute transport were studied. The results showed that a higher jet velocity produces a sharper temperature gradient at the interface and a stronger Marangoni effect, facilitates solute transport in the silicon melt, and promotes higher oxygen concentration in crystal. The stronger Marangoni convection causes more rapid oxygen transfer in the silicon melt and a higher oxygen concentration. Solidification front increases the downward flow velocity of the eddy current as the pulling speed is increased; this leads to a decrease in solute concentration at the interface. An increase in the downward flow of the vortex confluence facilitates the reduction of solute concentration in the crystal. An increase in the upward flow of the vortex confluence will increase the concentration in the crystal. The oxygen concentration is concentrated at the top and bottom of the silicon ribbon.

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“…When p is less than À1300 (Pa), h(p) is less than 4 Â 10 À4 (m) and it is not appropriate for the growth (see Refs. [13,16]). …”

Section: Numerical Resultsmentioning

confidence: 97%