Critical assessment of overall crystallization kinetics theories and predictions

Piórkowska, Ewa; Gałęski, Andrzej; Haudin, Jean‐Marc

doi:10.1016/j.progpolymsci.2006.05.001

Cited by 131 publications

(127 citation statements)

References 70 publications

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“…27,28 The JMA equation can be applied generally to a variety of phenomena (e.g. phase change, degradation, fracture, explosion, etc.)…”

mentioning

confidence: 99%

Kinetic Model for Layer-by-Layer Crystal Growth in Chain Molecules

Bourque

2016

Macromolecules

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A kinetic model is proposed to describe the structure and rate of advancement of the growth front during crystallization. Solidification occurs through the mechanisms of surface nucleation and lateral spreading of the solid phase within layers in the vicinity of the growth front. The transformation from liquid to solid within each layer is described by an equation similar to the two-dimensional variant of the Johnson-MehlAvrami (JMA) equation, but in which the finite size and shape of the critical nucleus and the dynamic evolution of the solid fraction of the underlying layers are taken into account. Connection to the Regime theory of Hoffman and co-workers, for surface nucleation and spreading in one or two dimensions, is also made. Given only molecular level information regarding surface nucleation rates, lateral spreading rates and critical surface nucleus geometry, the resulting set of coupled nonlinear equations for solidification in each layer is numerically integrated in time to obtain the structure and rate of advancement of the growth front, for arbitrarily large systems and long times. Using this kinetic model with input parameters obtained from molecular dynamics simulations, a multi-scale modeling analysis of crystal growth in npentacontane (C50) is performed,.

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“…27,28 The JMA equation can be applied generally to a variety of phenomena (e.g. phase change, degradation, fracture, explosion, etc.)…”

mentioning

confidence: 99%

Kinetic Model for Layer-by-Layer Crystal Growth in Chain Molecules

Bourque

2016

Macromolecules

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“…The presence of a large amount of nano-sized CHAp particles (10 wt%) was likely to increase the melt viscosity, thus making it more difficult for the macromolecular chains to pack into perfect crystals. The kinetics of isothermal crystallization can be described by the well-known Avrami Equation (Piorkowska, Galeski et al 2006). A time-dependent relative volumetric crystallinity X t for an isothermal crystallization process can be expressed as:…”

Section: Isothermal Crystallization Kineticsmentioning

confidence: 99%

Isothermal and Non-isothermal Crystallization Kinetics of Poly(L-Lactide)/Carbonated Hydroxyapatite Nanocomposite Microspheres

Zhou¹,

Duan²,

Wang³

et al. 2011

Advances in Diverse Industrial Applications of Nanocomposites

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“…All the problems have technological relevance (Strobl, 2006) for control of mechanical properties for semicrystalline polymeric materials. In theoretical approaches dealing with the overall crystallization kinetics, an important issue is nucleation (Piorkowska et al, 2006). A cluster size distribution approach for nucleation accompanied by crystal growth and Ostwald ripening serves to describe quantitatively the crystallization kinetics of polymer melt.…”

Section: Polymer Crystallizationmentioning

confidence: 99%

Cluster Kinetics of Phase Transitions: Applications to Innovative Technologies

McCoy

Madras

2008

Chemical Engineering Communications

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Phase transitions are critical in many of the new technologies of interest to chemical engineers. Applications to materials processing and pharmaceuticals manufacture are among the uses for phase transition dynamics investigated with the methods of population balance modeling for clustering processes. The underlying phenomenon of clustering occurs during condensation processes such as crystallization from solution. Self-assembly of molecules or supramolecules is likewise spontaneous clustering, often through non-covalent interactions. Vapor-liquid and solid-liquid condensations usually involve nucleation from a metastable state, accompanied by particulate growth and Ostwald ripening (with denucleation). The nucleation process is bypassed under certain conditions, such as in spinodal decomposition, glass transition, and gelation. It is proposed that the unifying concept for all these transformations is cluster kinetics and dynamics. Using population balance modeling, we outline how phase transition processes can be quantitatively modeled by cluster size distributions evolving in time. We also discuss how generic cluster processes apply to granular systems, synchronizing oscillators, and polymorphic transformations.

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Critical assessment of overall crystallization kinetics theories and predictions

Cited by 131 publications

References 70 publications

Kinetic Model for Layer-by-Layer Crystal Growth in Chain Molecules

Kinetic Model for Layer-by-Layer Crystal Growth in Chain Molecules

Isothermal and Non-isothermal Crystallization Kinetics of Poly(L-Lactide)/Carbonated Hydroxyapatite Nanocomposite Microspheres

Cluster Kinetics of Phase Transitions: Applications to Innovative Technologies

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