During soudification a free energy difference of AHp AT/T^ (Eq XXXXXXXXXXexists across an interfacial distance 8 = 0.5 nm between the solid and super cooled liquid. Silicon has a heat of fusion of 50...

During soudification a free energy difference of AHp AT/T^ (Eq. 6-19) exists across an interfacial distance 8 = 0.5 nm between the solid and super cooled liquid. Silicon has a heat of fusion of 50 kj/mol, melting point of 1420°C, and estimated atomic diffusivity of 10~^^ m^/s. At what approximate velocity can single crystals be pulled from the melt under a 1°C super cooling driving force? Note: In practice silicon crystals are grown at rates of several millimeters per minute.