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              Crystallization Processes                                                                   105


















































                                      FIGURE 9 Attachment of surfactant molecules to crystal surfaces.


                   and a second that does not. The part that does not  lation distribution relates the number of crystals at each
                   fit repulses incoming growth units or causes  size to the size, while the mass distribution expresses how
                   significant interatomic stress because of its  mass is distributed over the size range. In the following
                   position in the crystal lattice. If such species are  paragraphs, methods for describing and using distribution
                   purposely added to the crystallizing system to  functions will be outlined.
                   modify crystal morphology, they are referred to as  Size distribution is a major determinant of the proper-
                   tailor-made additives.                       ties of crystalline products, especially appearance, and to
                                                                downstream processing and handling of crystalline mate-
                                                                rials.Solid–liquidseparationbyfiltrationorcentrifugation
              C. Crystal Size Distributions
                                                                can be straightforward with a desired CSD, but it can be
              Most crystallization processes produce particles whose  disastrous when an inappropriate one increases resistance
              sizes cover a range of varying breadth. If the particles  to liquor flow through a filter or centrifuge cake. Like-
              consist of single crystals, the resulting distribution is a  wise, CSD affects other downstream processing such as
              crystal size distribution (CSD); on the other hand, if the  the removal of impurities and mother liquor by washing,
              particles consist of agglomerates or other combination of  dissolution or reaction of the crystals, and transporting or
              multiple crystals, the distribution is a particle size dis-  storing crystals.
              tribution. In either case, the distribution is expressed in  Crystal size distributions may be expressed by: (1) his-
              terms of either population (number) or mass. The popu-  tograms, which are the amount or fraction of mass or
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