Few advances in theoretical correlation of crystallization phenomena have been reportedduring the past year. Emphasis has been placed on the effects of additions, as chemical ions, or physical treatments on both rate of crystallization and crystal habit. Much work has been reported on oriented growth of crystals on other crystalline or amorphous surfaces. A new field of application of crystallization has been opened up b y the use of crystalline complexes of urea and straight-chain hydrocarbons to separate straight-chain from branched and cyclic hydrocarbons. Processes for growing piezoelectric crystals have been improved. When ethylene glycol and ethyl alcohol are added to aqueous solutions of sodium sulfate, the deposition of solids on heating surfaces due to a lower solubility in water at higher temperature is avoided. theory and practice. It is stated that new nuclei may originate in situ in one or more of the following ways:1. By spontaneous n u c l e a t i o n from unseeded solution 2. By attrition of existing crystals 3. By mechanical impact 4. By formation of new crystals because of the inoculating influence of crystals already present 5. BY nucleation in restricting RYSTALLIZATION processes have continued to receive increased study and development. There have been c many investigations reported on the factors affecting the growth of crystals and the mechanisms involved in this growth. New techniques and improvements in industrial processes have been described. However, a satisfactory broad theoretical treatment of crystallization has not been reported.
NUCLEATION AND RATE OF G R O W T HThe difficulty in formulating a complete theory describing the rates of formation of nuclei and growth of crystals is well expressed by Kirk and Othmer (47), who state:The mechanism of this process is very complex, as it involves the phenomena of diffusion, formation of nuclei, and crystal growth, all of which can take place a t the same time. No exact numerical calculations of the rates of any of these can be made at the present time so that, as a unit operation, crystallization is still highly empirfical in its methods. Because of this lack of any precise design calculations, the types of crystallizers have been numerous. To add to the designer's difficulty, it is frequently necessary t o produce crystals of a given shape, size, uniformity, and state of agglomeration as well as purity.However, the current status of crystallization theory and practice is summarized in some detail by these authors.Brown (IO) has pointed out that the problems concerning crystallization which are most frequently encountered deal with yields, purity, energy requirements, shape, size, and uniformity of the crystalline product, and rate of production of the desired crystals. Perry (61) has summarized in detail crystallization zones caked by local variations in th; concentration of the solution Umstatter and Hansen-Dannenitz (86) discuss the kinetics of precrystalline phases in liquids. They state that the inner friction of liquids is caused by ...