Collect. Czech. Chem. Commun. 1981, 46, 1217-1221

Time of persistence of a particle in selected state during reversible first-order conversion. Application to crystal growth and dissolution

Milan Šolc and Jiří Hostomský

Institute of Inorganic Chemistry, Czechoslovak Academy of Sciences, 160 00 Prague 6


The distribution of the total time of persistence of a particle in a state A was derived both in an exact and an approximate form on the basis of a probability model of the conversion A ##e B. The result was applied to the probability description of a change in size of one-dimensional crystals in a double crystallizer. The time change of the distribution of the crystal sizes can be described by the Fokker-Planck equation for diffusion with a diffusion coefficient proportional to the square of the sum of values of the growth and dissolution rate constants.