The effects of pressure on the nucleation rate of an undercooled liquid

The pressure dependence of the nucleation rate of an undercooled liquid is examined by analyzing the relationship between surface energy and external pressure. The dependence of the melt-crystal interfacial energy on the applied pressure is modeled, and the increase (decrease) in undercooling due to an applied pressure is described for substances which have positive (negative) values of delta-upsilon. A cavitation-nucleation argument is formulated along the lines of Hickling (1965) with attention given to the possibilities of negative and positive pulses about a bubble in the liquid.