先进材料疑固实验室 Liquid/Solid interface Laboratory of Advanced Materials Solidification From above equation,we can see the only when the interfacial undercooling,,-T-T,,is sufficiently large to make Ar>exp( v>0,and the crystal can grow. This means that in order for the crystal to grow,we mush have (v>0): △Gv<kTln(Ae) The value of 4.is determined by the atomic scale roughness of the solid/liquid interface.The rougher is the S/L interface.The higher the value of 4 In addition to the thermodynamic barrier,there is also kinetic barrier related to how the atoms move from liquid to solid across the S/L interface. 上浒充通大学 SHANGHAI JIAO TONG UNIVERSITYLiquid/Solid interface From above equation, we can see the only when the interfacial undercooling, ΔTi =Tm-Ti , is sufficiently large to make , and the crystal can grow. This means that in order for the crystal to grow, we mush have (v>0):  The value of AF is determined by the atomic scale roughness of the solid/liquid interface. The rougher is the S/L interface. The higher the value of AF  In addition to the thermodynamic barrier, there is also kinetic barrier related to how the atoms move from liquid to solid across the S/L interface