Freezing in Silicon at Large Undercooling

1989 ◽  
Vol 157 ◽  
Author(s):  
P.A. Stolk ◽  
A. Polman ◽  
W.C. Sinke
Keyword(s):  
Interface Temperature ◽  
Limiting Factor ◽  
Time Resolved ◽  
Large Undercooling ◽  
Explosive Crystallization ◽  
Crystallization Speed ◽  
Solid Liquid Interface ◽  
Solid Liquid ◽  
Rate Limiting

ABSTRACTPulsed laser irradiation is used to induce epitaxial explosive crystallization of amorphous silicon layers buried in a (100) oriented crystalline matrix. This process is mediated by a self-propagating liquid layer. Time-resolved determination of the crystallization speed combined with numerical calculation of the interface temperature shows that freezing in silicon saturates at 16 m/s for large undercooling (> 130 K). A comparison between data and different models for melting and freezing indicates that the crystallization behavior at large undercooling can be described correctly if the rate-limiting factor is assumed to be diffusion in liquid Si at the solid/liquid interface.

scholarly journals Solid–Liquid Interface Temperature Measurement of Evaporating Droplet Using Thermoresponsive Polymer Aqueous Solution

2021 ◽  
Vol 11 (8) ◽  
pp. 3379
Author(s):  
Hyung Ju Lee ◽  
Chan Ho Jeong ◽  
Dae Yun Kim ◽  
Chang Kyoung Choi ◽  
Seong Hyuk Lee
Keyword(s):  
Refractive Index ◽  
Heated Surface ◽  
Liquid Interface ◽  
Interface Temperature ◽  
Thermoresponsive Polymer ◽  
Temperature Deviation ◽  
Line Region ◽  
Optical And Mechanical Properties ◽  
Solid Liquid Interface ◽  
Solid Liquid

The present study aims to measure the solid–liquid interface temperature of an evaporating droplet on a heated surface using a thermoresponsive polymer. Poly(N-isopropylacrylamide) (pNIPAM) was used owing to its sensitive optical and mechanical properties to the temperature. We also measured the refractive index variation of the pNIPAM solution by using the surface plasmon resonance imaging (SPRi). In particular, the present study proposed a new method to measure the solid–liquid interface temperature using the correlation among reflectance, refractive index, and temperature. It was found that the reflectance of a pNIPAM solution decreased after the droplet deposition. The solid–liquid interface temperature, estimated from the reflectance, showed a lower value at the center of the droplet, and it gradually increased along the radial direction. The lowest temperature at the contact line region is present because of the maximum evaporative cooling. Moreover, the solid–liquid interface temperature deviation increased with the surface temperature, which means solid–liquid interface temperature should be considered at high temperature to predict the evaporation flux of the droplet accurately.

scholarly journals Modeling of dendrite growth in undercooled solution sodium acetate trihydrate

2019 ◽  
Vol 128 ◽  
pp. 01023
Author(s):  
Chanchal Kumar ◽  
Aniket D. Monde ◽  
Anirban Bhattacharya ◽  
Prodyut R. Chakraborty
Keyword(s):  
Sodium Acetate ◽  
Exothermic Reaction ◽  
Interface Temperature ◽  
Sodium Acetate Trihydrate ◽  
Crystal Anisotropy ◽  
Acetate Trihydrate ◽  
Undercooled Melt ◽  
Control Volumes ◽  
Solid Liquid Interface ◽  
Solid Liquid

The sodium acetate trihydrate is commonly used as energy storage phase change material in heating pads for body or hand warmer in cold climates. The undercooled melt of sodium acetate trihydrate kept at room temperature results in an exothermic reaction when solidification seed is nucleated. In presentwork, modeling of denritic growth in an undercooled solution of sodium acetate trihydrate has been carried out. The enthalpy method has been used to compute solid-liquid interface growing in undercooled melt. The interface temperature, concentration and grain growth have been modeled considering curvatureeffect and solutal undercooling. A 2-D computational grid of square control volumes has been used and discreatized governing equations were solved explicitly. The crystal anisotropy was imposed explicitly. The results are validated using experimental data.

scholarly journals Nonequilibrium Interface Kinetics During Rapid Solidification

1986 ◽  
Vol 80 ◽  
Author(s):  
Michael J. Aziz
Keyword(s):  
Rapid Solidification ◽  
Local Equilibrium ◽  
Theoretical Work ◽  
Liquid Interface ◽  
Interface Temperature ◽  
Impurity Incorporation ◽  
Interface Kinetics ◽  
Solute Atoms ◽  
Solid Liquid Interface ◽  
Solid Liquid

AbstratThe deviations from local equilibrium at a rapidly moving solid-liquid interface are well documented. The fraction of solute atoms in the liquid at the interface that joins the crystal during rapid solidification approaches unity and the interface temperature drops. Experimental and theoretical work on impurity incorporation and interfacial undercooling is reviewed. Past and future experiments to test the theories are discussed.

Determination of optical constants and vibrational band intensities of liquids in the infrared using attenuated total reflexion

1967 ◽  
Vol 298 (1453) ◽  
pp. 160-177 ◽  
Keyword(s):  
Refractive Index ◽  
Carbon Tetrachloride ◽  
Working Conditions ◽  
Optical Constants ◽  
Carbon Disulphide ◽  
Absorption Bands ◽  
Total Reflexion ◽  
Solid Liquid Interface ◽  
Solid Liquid

The refractive index, and vibrational absorption band intensities, of some liquids have been determined by a new method involving attenuated total reflexion at a solid liquid interface. The principles of the method have been explained and the factors which determine a choice of optimal working conditions have been discussed. The method has been applied to absorp­tion bands of benzene, carbon tetrachloride, chloroform, bromoform, sym -tetrabromo-ethane, and carbon disulphide. Data have been obtained on the variation of refractive index across the absorption bands, and the computed band intensities have been compared with those obtained previously by other methods.

scholarly journals Nonequilibrium Interface Kinetics During Rapid Solidification

1986 ◽  
Vol 74 ◽  
Author(s):  
Michael J. Aziz
Keyword(s):  
Rapid Solidification ◽  
Local Equilibrium ◽  
Theoretical Work ◽  
Liquid Interface ◽  
Interface Temperature ◽  
Impurity Incorporation ◽  
Interface Kinetics ◽  
Solute Atoms ◽  
Solid Liquid Interface ◽  
Solid Liquid

AbstractThe deviations from local equilibrium at a rapidly moving solid-liquid interface are well documented. The fraction of solute atoms in the liquid at the interface that joins the crystal during rapid solidification approaches unity and the interface temperature drops. Experimental and theoretical work on impurity incorporation and interfacial undercooling is reviewed. Past and future experiments to test the theories are discussed.

Determination of the Solid-Liquid Interface Energy in the Al-Cu-Ag System

2007 ◽  
Vol 38 (9) ◽  
pp. 1956-1964 ◽  
Author(s):  
A. Bulla ◽  
C. Carreno-Bodensiek ◽  
B. Pustal ◽  
R. Berger ◽  
A. Bührig-Polaczek ◽  
...  
Keyword(s):  
Interface Energy ◽  
Liquid Interface ◽  
Solid Liquid Interface ◽  
Solid Liquid

Simulation of porosity reduction in random structures

1990 ◽  
Vol 5 (10) ◽  
pp. 2184-2196 ◽  
Author(s):  
P. B. Visscher ◽  
Joseph E. Cates
Keyword(s):  
Interface Velocity ◽  
Periodic Boundary Conditions ◽  
Pressure Solution ◽  
Forward Motion ◽  
Porosity Reduction ◽  
Random Structures ◽  
The Difference ◽  
Solid Liquid Interface ◽  
Solid Liquid ◽  
Rate Limiting

We describe an algorithm for computing the motion of a solid-liquid interface in 2D, which is applicable to geological pressure solution or to pressure sintering. The backward motion (toward the solid) of the interface is due to dissolution of the solid, and the forward motion (away from the solid) is due to the inverse process of reprecipitation. The interface velocity is assumed proportional to the difference between the solubility of the solid and the concentration of the solution. The former is dependent upon stress (the phenomenon of “pressure solution”), so our algorithm must also keep track of the stress. We use a Lagrangian grid, with constant-stress periodic boundary conditions. The method has been applied to porosity reduction in sandstone. It is applicable to other interface-following problems, such as freezing, if the motion is slow enough that heat transport is not rate-limiting.

A New Growth Kinetics in Simulation of Dendrite Growth by Cellular Automaton Method

2007 ◽  
Vol 26-28 ◽  
pp. 957-962 ◽  
Author(s):  
Bo Wei Shan ◽  
Xin Lin ◽  
Lei Wei ◽  
Wei Dong Huang
Keyword(s):  
Cellular Automaton ◽  
Growth Kinetics ◽  
Solute Concentration ◽  
Dendrite Growth ◽  
Liquid Interface ◽  
Interface Temperature ◽  
Algebraic Equations ◽  
Interface Growth ◽  
Solid Liquid Interface ◽  
Solid Liquid

A modified cellular automaton model was proposed to simulate the dendrite growth of alloy. Different from previous models, this model used neither an analytical equation(such as KGT model) nor an interface solute gradient equation to solve the velocity of solid-liquid interface, but used the interface solute and energy conservation and thermodynamic equilibrium condition to describe the solid/liquid interface growth kinetics process. In present model, once the temperature field and solute field were solved by finite different method in the entire domain, the material thermodynamic properties can be substituted into four algebraic equations to easily determine the variation of solid fraction, interface temperature and solute concentration, instead of calculating interface moving velocity. As a result, the complexity of the calculation can be largely reduced. The simulated dendrite growth was in a good agreement with the Lipton–Glicksman–Kurz (LGK) model for free dendritic growth in undercooled melts.

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