On estimation of critical supercooling from waiting times measured at constant supercooling - A secondary nucleation from a single seed crystal of potash alum suspended in agitated solution.

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Abstract
Waiting times were measured at supercooling of 4, 8, 10 and 12°C respectively with agitation speeds of 150, 300 and 450 rpm. Critical supercooling was also measured in the range of cooling rates from 8.08 ×10-4 to 1.56×10-2°C/sec at an agitation speed of 300 rpm. Both series are analyzed by the stochastic model in which the first nucleation is treated as a random process. The waiting times distributed exponentially. The nucleation probability, a probability of first nucleation per unit time, calculated from the waiting times is correlated to the 1.30th power of agitation speed and to the 1.38th power of supercooling. The critical supercooling is related to cooling rate by the model and this equation is compared with the similar one of Nývlt. The critical supercooling calculated by the equation of the model agrees with the experimental values. The nucleation probability is suggested to be identical with a nucleation rate.

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