Burton-Prim-Slichter

Therefore, one obtains the well known Burton-Prim-Slichter (4 ) equation... 

Caiison s theory predicts that 8 a so that dR/dt should be a u. This is in reasonable agreement with experiments by Hixon and Knox [45] (dR/dt a ) and Mullin and Garside [46] (dR/dt a ). Equally useful is the Burton, Prim, and Slichter [47] [BPS] analysis of a crystal rotatii at an angular velocity of w in solution giving a boundary layer thickness ... 

Convection-Governed Impurity Distribution with Uniform Freezing Rate. The diflFusion-controlled solute build-up at the interface can be minimized by stirring the solution. Burton, Prim, and Slichter (17) showed that, in this case, a steady state will be reached in which... 

A. Karma. Phase field model of eutectic growth. Phys Rev E 49 2245, 1994. J. Burton, R. Prim, W. Slichter. J Chem Phys 27 1987, 1953. 

Burton, J. A., Prim, R. C. Slichter, W. P. (1953). The distribution of solutes in crystals grown from the melt. Part I. Theoretical. J. Chem. Phys., 21,1987-91. 

With the use of the Burton-Slichter-Prim model, the influence of crystallizer operating conditions on the amount of substitutional impurity uptake can be assessed. Namely, for values of K less than unity, the quality of separation tends to improve with lower growth rate, increasing diffusivity of the impurity, and decreasing diffusion film thickness. Thus, stronger convection (which reduces the boundary layer thickness 6) is expected to improve separation in these cases (Rosenberger 1986). 

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