We performed contact nucleation experiments on the (010) face of potassium hydrogen phthalate (KAP) crystals growing in a stagnant supersaturated aqueous solution and determined -after a given growth time t -(cx situ) the crystal size distribution (CSD) of the secondary nuclei (which at t = 0 are called "embryos") by using a scanning electron microscope (SEM). The origin of the secondary nuclei could clearly be revealed (damage to the crystal surface). The CSD can be fitted with a log-normal distribution which is typical for many powders obtained by grinding. Minimum size and mean size can be quantitatively understood by elementary fracture mechanics.
I. Infroductionwhich describes how the number density n (i.e. the distribution of the total number of particles Knowledge of the crystal size distribution over the crystal size L) varies in time taking into (CSD) is of major importance in industrial crysaccount the interactions and process-controlling tallization in order to control the production of parameters mentioned above. To solve this innew crystals. In a CMSMPR crystallizer a number tegro-differential equation analytically, some apof interactions between crystals or crystal-crystalproximations have to be made. Firstly, one conlizer parts are active which, each in its own way, siders a clear liquid feed, i.e. the slurry which influences the CSD: secondary nucleation, attrienters the crystallizer contains no crystals. Section, breakage and agglomeration. Further, often ondly, the rate processes secondary nucleation, the smallest crystals (the fines) are removed from attrition, breakage, agglomeration, fines removal the crystallizer. In order to run a crystallizer at and product classification can be ignored if these high supersaturations and to produce large crystals processes can be suppressed or if they are operat high production rates, nuclei should be selecative at such a minor level, that the influence on tively removed from the process, so these excessive the CSD is negligible. Thirdly, one assumes that nuclei do not compete for supersaturation.all the crystals grow with the same rate G (this is Withdrawal of crystals in the larger size range is generally referred to as the LL law of McCabe). carried out to obtain a product classification. A And, finally, one assumes that the number density general population equation can be derived [1] does not change in time, so a steady state has been 0022-0248/89/$03.50