The concept of effectiveness factors in crystal growth

Garside, J.

doi:10.1016/0009-2509(71)80062-3

Cited by 127 publications

(65 citation statements)

References 11 publications

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“…The kinetic parameters for crystal nucleation and growth were estimated through the comparison between experimental and calculated data following the modeling strategy previously reported in literature. 49,50 The PB model demonstrated the ability to predict the time-variation of the crystal habit of the assumed rectangular parallelepipeds. Oullion et al 51 carried out experiments of a plate-like organic material in a batch crystallization using in situ ATR FTIR spectroscopy for solute concentration estimation, and off-line image analysis to characterize discrete-time measurements of the 2-D crystal-size distributions.…”

Section: Population Balance Modelingmentioning

confidence: 99%

Morphological population balance for modeling crystal growth in face directions

2007

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in Wiley InterScience (www.interscience.wiley.com).A morphological (or polyhedral) population balance (PB) model is presented for modeling the dynamic size evolution of crystals grown from solution in all crystal growth directions. The morphological PB approach uses the crystal shape information for a single crystal obtained from morphology prediction, or experiment as the initial face locations, as well as face growth rates to predict the shape evolution of the crystal population. For each time instant during the crystallization process, the prediction uses its shape at the previous time moment, and the growth rate for the specific crystal habit plane. The methodology is demonstrated through a study of potash alum (KAl (SO 4 ) 2 Á12H 2 O), for which literature data is available for comparison and validation. The discretization method, method of classes, was used to convert the equations to ordinary differential form with the computational domain being discretized into small meshes. The ordinary differential equations ([1.5 million) were then solved simultaneously using the Runge-Kutta-Fehlbergh 4th/5th-order solver with automatic time-step control. The results obtained clearly demonstrate that the morphological PB model developed can predict crystal growth and surface area of individual habit faces in detail, together with crystal shape and size evolution.

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Section: Population Balance Modelingmentioning

confidence: 99%

Morphological population balance for modeling crystal growth in face directions

2007

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“…It is d interesting to see if there is a controlling step for the calcite growth, which can be judged from the surface-reaction effec-Ž . tiveness factor Garside, 1971 or the ratio of r . If Table 2 as judged from the relative magnitude of K to K .…”

Section: Mass-transfer Coefficient Of Calcite Growth In a Dense Fluidmentioning

confidence: 99%

Crystal growth kinetics of calcite in a dense fluidized‐bed crystallizer

1999

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“…Since all the parameters of the two-step model are available, a quantitative determination of the importance of diffusion and surface integration steps can be made through the concept of effectiveness factor (Garside, 1971). The surface integration where Da is expressed by:…”

Section: Crystal Growth Ratesmentioning

confidence: 99%

Size‐Dependent growth and contact nucleation of calcite crystals

1993

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The growth kinetics and contact nucleation of calcite crystals were studied in a pH-stat crystallizer. Large seed crystals up to 230 pm were successfully prepared by the gel growth technique. The crystal growth data over a wide range of crystal sizes were evaluated from titration curves by an initial slope method and then analyzed by the two-step model. The mass-transfer and surface integration rates were found to be functions of crystal size with the exception of mass-transfer rates of small crystals less than 10 pm. The controlling step of crystal growth process was tested using the effectiveness factor concept. Large seed crystals of calcite induced contact nucleation when a stainless-steel impeller was used for agitation. The important features of contact nucleation for calcite crystals were explored and compared with those of soluble substances.

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The concept of effectiveness factors in crystal growth

Cited by 127 publications

References 11 publications

Morphological population balance for modeling crystal growth in face directions

Morphological population balance for modeling crystal growth in face directions

Crystal growth kinetics of calcite in a dense fluidized‐bed crystallizer

Size‐Dependent growth and contact nucleation of calcite crystals

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