Equation icon  Scheil equations

 
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Resource type: Equation
Description: The Scheil equations describe the concentration of a solute in the solid and liquid phases during solidification. This equation is commonly used in metallurgy, during the solidification of alloys and in semiconductor wafer manufacture for the solidification of single crystals of semiconductor materials.

TeX format: {C_L=C_0(f_L)^{k-1}}
TeX format: {C_S=kC_0(1-f_S)^{k-1}}

CL {C_L} = concentration of solute in the liquid phase (mol.m-3) {mol.m^{-3}}
CS {C_S} = concentration of solute in the solid phase (mol.m-3) {mol.m^{-3}}
C0 {C_0} = concentration of solute in the liquid phase at the start of solidification (mol.m-3) {mol.m^{-3}}
fL {f_L} = fraction of total mass in the liquid phase
fS {f_S} = fraction of total mass in the solid phase
k {k} = distribution/segregation coefficient of solute = CS/CL

Keywords: Scheil • solidification • segregation • solute • concentration • semiconductor • alloy
Categories: Science approaches
Science approaches > Structure, bonding & defects > Atomic structure
Science approaches > Diffusion
Science approaches > Modelling & simulation
Applications > Electronics
Properties > Electrical, magnetic & optical > Semiconductivity
Created by: The University of Liverpool
License: This resource is released under the Creative Commons Attribution license (2.0 UK: England & Wales).
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Date created: 18 August 2010
Date added: 14 September 2010
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Resource ID: 3198