Growth Models Based on Adsorption Isotherms

Limiting, Non-Zero Growth Rate Behavior. One of the most generally applicable growth rate expressions, developed for either kink, step, or ledge adsorption, is given as (Bliznakov 1959, 1965) 

TABLE 3.1 Estimated Values of Adsorption-Free Energies 

Listed in Table 3.1 are values of the adsorption energies AG determined for several different crystalline systems. In general, adsorption energies of impurities at ledge sites are found to be on 

Based on the Cabrera and Vermilyea adsorption model. Black and Davey (1988) developed the following growth rate expression 

Black and Davey used Eq. (3.22) to study the effect of the tailor-made additive L-glutamic acid on L-asparagine monohydrate crystals. With the use of a linear adsorption isotherm, Eq. (3.22) fit the crystal growth rate data. Consistent with a structural model in which impurities are embedded in the growing crystal surface, the growth rate of the crystals tended to zero at a high L-glutamic level. 

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