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A modeling framework is developedfor predicting crystal morphology distributions with a goal towardtheir control in the manufacture of crystalline products. This workdistinguishes itself from prior efforts in this direction by its comprehensivecoverage of all possible morphologies based only on fundamental molecularinformation on the material. The morphology of growing crystals iscomposed of a finite number of low-energy faces characterized by theirMiller indices and perpendicular distances. The symmetry of crystalsallows the classification of kinetically and geometrically similarfaces into different groups identified by their perpendicular distances(h-vector). A set of different kinds of morphologiesobtained by combining different groups of faces is referred to asa morphology set. Further, a morphology graph is constituted withvertices as elements of morphology set and edges specifying conditionsfor transformations between morphologies. These conditions form apolyhedral cone, which will be called a morphology domain, in thespace of h-vectors. The dynamics of crystal morphologyis given by the trajectories of the h-vectorinsidethis morphology domain. The evolution of morphology distributionsdue to crystal growth inside the morphology domain is described bya morphological-population balance model (M-PBM) which readily submitsto solution by the method of characteristics. The methodology, illustratedin controlling crystal morphologies of potassium acid phthalate usingadditives, paves the way for model-based control of shape controlof crystallization processes. [ABSTRACT FROM AUTHOR]