Growth rate dispertion: the role of lattice strain

Heijden, A.E.D.M. van der; Eerden, J.P. van der

doi:10.1016/0022-0248(92)90044-j

Cited by 51 publications

(39 citation statements)

References 19 publications

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“…It was shown [7][8][9][10][11] that the growth rate of crystals is inversely proportional to their lattice strain. As the smaller initial crystal size corresponds to the lower growth rate [4,12], the lattice of the very small crystal is highly strained.…”

Section: Discussionmentioning

confidence: 99%

“…The connection of this phenomenon with the ''overall'' lattice strain or defects of structure in the crystal is pointed in Refs. [7][8][9][10][11]. The growth rates of Rochelle salt [7,8], sodium chlorate [9], and potassium alum [10] crystals, grown under the same external conditions, are inversely proportional to their ''overall'' lattice strain.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Size distribution of non-growing crystals in supersaturated solutions

Mitrovic

̆ekić

2005

Journal of Crystal Growth

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Size distribution of non-growing crystals in supersaturated solutions

Mitrovic

̆ekić

2005

Journal of Crystal Growth

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“…This decrease in growth rate could be caused by crystal growth defects, such as dislocations or strain, described by the mosaic structure of crystals, which has been investigated in literature (see Refs. [61][62][63][64][65]. This aspect though is not considered here, as the purpose here is to develop and evaluate morphological PB modeling methodology.…”

Section: Formulation Of Morphological Population Balance Equationmentioning

confidence: 96%

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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“…Four possible mechanisms of the lattice strain describe [12] a point defect, a (random) distribution of dislocations (Frank network), the presence of grain boundaries, and volume strain variations in the crystal. It was shown [12][13][14][15][16][17] that the growth rate of crystals decrease with increasing of lattice strain. Highly strained crystals grow with lower rates.…”

Section: Overall Crystal Lattice Strainmentioning

confidence: 99%