Crystallization kinetical control

Heat diffusion controlled Critical number Crystallization kinetics controlled... 

The growth of semicrystalline NIF in preference to that of the highly crystalline F2 form is a typical example of crystallization kinetics controlling polymer morphology. The best known example is, of course, the very fact that thin folded-chain crystals form in preference to the more stable extended-chain crystals. 

Spherulites constitute the most common morphological texture of polymers crystallized from the melt. The nucleation and crystallization kinetics controls the spherulitic texture, which in turn can greatly affect the mechanical properties of the polymer. 

It is important to have an understanding of the competing thermodynamic and kinetic factors that govern crystallization. Situations exist where one polymorph formation is kinetically controlled, while another is thermodynamically controlled. 

A number of systems which in polymer literature are normally referred to as mesophases are obtained under kinetic control. Examples are the smectic phase of isotactic polypropylene [18,19], mesomorphic syndiotac-tic polypropylene [20-22], mesomorphic PET [23,24], and other instances where intermediate degrees of order result after quenching polymers from the melt to temperatures often close to Tg. In these cases disorder is plausibly more static than in bundles close to T0 and these phases usually crystallize upon heating to an appropriate temperature in the stable crystal phases. 

Zeolites are formed by crystallization at temperatures between 80 and 200 °C from aqueous alkaline solutions of silica and alumina gels in a process referred to as hydrothermal synthesis.15,19 A considerable amount is known about the mechanism of the crystallization process, however, no rational procedure, similar to organic synthetic procedures, to make a specifically designed zeolite topology is available. The products obtained are sensitive functions of the reaction conditions (composition of gel, reaction time, order of mixing, gel aging, etc.) and are kinetically controlled. Nevertheless, reproducible procedures have been devised to make bulk quantities of zeolites. Procedures for post-synthetic modifications have also been described.20 22... 

In addition to the asymmetric induction mentioned above, sultam 53 can also be used to prepare enantiomerically pure amino acids (Scheme 2-29 and Table 2-10).55 Me AI-mediated acylation of 53 with methyl A-[bis(methylthio)-methylene]glycinate 56 provided, after crystallization, glycinate 57, which can serve as a common precursor for various a-amino acids. In agreement with a kinetically controlled formation of chelated (Z)-enolates, alkylation happened from the SZ-face of the a-C, opposite to the lone pair electrons on the sultam nitrogen atom. High overall yield for both the free amino acid 58 and the... 

For effective control of crystallizers, multivariable controllers are required. In order to design such controllers, a model in state space representation is required. Therefore the population balance has to be transformed into a set of ordinary differential equations. Two transformation methods were reported in the literature. However, the first method is limited to MSNPR crystallizers with simple size dependent growth rate kinetics whereas the other method results in very high orders of the state space model which causes problems in the control system design. Therefore system identification, which can also be applied directly on experimental data without the intermediate step of calculating the kinetic parameters, is proposed. 

Several reviews deal with the solid-state reactions of simple inorganic salts and of organic compounds.1-8 The essential differences between solid-state reactions and reactions in solution can be ascribed to the fact that solid-state reactions occur within the constraining environment of the crystal lattice. The reactant crystal lattice can control both the kinetic features of a reaction, and the nature of the products. In many solid-phase reactions the separation distances and mutual orientations of reactants in the solid determine the product. Such reactions are said to be topo-chemically controlled.9 Topochemical control of a reaction product is analogous to kinetic control in solution. The product is not necessarily the thermodynamically most stable product available to the system, but is rather the one dictated by the reaction pathway available in the constraining environment of the solid. 

J. W. Schroerand K. M. Ng, Process Paths of Kinetically Controlled Crystallization Enantiomers and Polymorphs, Ind. Eng. Chem. 

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