Crystal Growth Rate Dispersion versus Size-Dependent Crystal Growth: Appropriate Modeling for Crystallization Processes

Srisa-nga, Sukanya; Flood, Adrian E.; Galbraith, Shaun; Rugmai, Supagorn; Soontaranon, Siriwat; Ulrich, Joachim

doi:10.1021/acs.cgd.5b00126

Cited by 40 publications

(37 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Because individual grains in the same sample should have different interface conditions for interface‐controlled kinetics or different effective diffusivities around growing grains, the stochastic dispersion of the kinetic constant is reasonable for natural samples. Indeed, a growth rate dispersion depending on the surface condition of growing grains in the solution has been proposed as a real phenomenon (Srisanga et al., ).…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Determination of reaction kinetics using grain size: An application for metamorphic zircon growth

et al. 2018

View full text Add to dashboard Cite

The reaction kinetics of metamorphic minerals can be subdivided into interface-and diffusion-controlled kinetics. The discrimination of reaction kinetics is crucial for estimating reaction rates. Here, we propose a new and simple method for discriminating reaction kinetics. This method requires measuring only the initial and final grain sizes during growth. The reaction kinetics is inferred from different plotted arrays of initial vs. final grain sizes after the mineral growth. Using metamorphic zircon, we take detrital core sizes as the initial sizes and post-metamorphic grain sizes as the final sizes. The application of the method to the subduction-related highpressure Nagasaki metamorphic complex in Japan shows that this metamorphic zircon grew under interface-controlled kinetics even at the relatively low temperature of 440°C. This method is potentially applicable to other minerals that have timemarkers, such as chemical zoning or internal structures that are captured at a given point in time during growth. | INTRODUCTIONThe kinetics of metamorphic reactions are subdivided into two regimes: interface-and diffusion-controlled. Interface-controlled kinetics imply that the rates of reaction at a mineral interface determine the net reaction rate, whereas the diffusion-controlled kinetics imply that the diffusion rate of the slowest chemical component controls the net reaction rate. Most metamorphic reactions involve dehydration or hydration. Therefore, the metamorphic reaction rates constrain the fluid flux. In addition, the growth rate of metamorphic minerals from progressive metamorphic reactions governs metamorphic rock texture. (Miyazaki, 1991, Miyazaki, 1996, diffusion-limited aggregation (DLA) (Miyazaki, 2001) and nucleation and growth (e.g. Carlson,

show abstract

Section: Discussionmentioning

confidence: 99%

“…The dashed line has a slope of one grains, the stochastic dispersion of the kinetic constant is reasonable for natural samples. Indeed, a growth rate dispersion depending on the surface condition of growing grains in the solution has been proposed as a real phenomenon (Srisanga et al, 2015).…”

Section: Discrimination Of the Growth Kinetics Of Metamorphic Zirconmentioning

confidence: 99%

Determination of reaction kinetics using grain size: An application for metamorphic zircon growth

et al. 2018

View full text Add to dashboard Cite

show abstract

“…Size‐dependent growth (SDG) is also used to explain deviations from McCabe's Δ L law of crystal growth. However, recent work suggests that SDG is not a real phenomenon except for crystals small enough that their solubility is different to the bulk crystal phase 3 and so it is not considered here.…”

Section: Introductionmentioning

confidence: 99%

Relationship between Surface Roughness, Internal Crystal Perfection, and Crystal Growth Rate

et al. 2016

Self Cite

View full text Add to dashboard Cite

Potential mechanisms affecting growth rate dispersion (GRD) are investigated. Previous studies have identified surface roughness and internal lattice perfection as key mechanisms which are both evaluated with respect to GRD. Crystal growth of potassium dihydrogen phosphate was studied in two solvent mixtures, water and water‐ethanol. The surface roughness was analyzed by atomic force microscopy and the internal crystal perfection by X‐ray diffraction using a synchrotron source. The crystals grown at higher supersaturation have more pronounced and more frequent surface irregularities, supporting previous findings on a feedback mechanism between surface roughness and growth rate. No significant relationship was found between internal crystal perfection and growth rate, however, this is likely due to the size of the crystals analyzed herein and not the absence of any such mechanism in small crystals.

show abstract

“…It is known that crystal growth rate kinetics may display several unusual features, such as size‐dependent crystal growth , , crystal growth rate dispersion , or dead zones where no growth occurs , . However, most measurements of kinetics reported have considered only average growth rates and have been fitted with a simple power law model that cannot account for these unusual features.…”

Section: Introductionmentioning

confidence: 99%

“…There are three mechanisms used to explain, and therefore, model growth rate dispersion: the intrinsic crystal growth model , the random fluctuation model , and the common history model . Recently, it was shown that size‐dependent crystal growth was typically a manifestation of crystal growth rate dispersion , for which cause and effect have not been adequately determined, except for very small particles, less than about 1 μm, that may have a different thermodynamic stability to that of larger crystals. Crystal growth rate dispersion is normally modeled by using a specific crystal growth rate model with a probability distribution, f ( k g ) 1) , which represents the crystal growth rate constant , as shown in Eq.…”

Section: Introductionmentioning

confidence: 99%

Unusual Crystal Growth Kinetics of (RS)‐Ibuprofen from Ethanolic Solutions

2019

Self Cite

View full text Add to dashboard Cite

The solubility, secondary nucleation threshold, and growth kinetics of (RS)-ibuprofen have been studied in an aqueous ethanol solvent. The metastable zone for secondary nucleation is very narrow at lower temperatures in this range, but greatly enlarged at higher temperatures. The crystal growth kinetics not only display significant dispersion of growth rates, but also a dead zone that is dependent on the growth rates of the crystals. Faster growing crystals display almost no dead zone, whereas the smallest crystals have a large dead zone. The size of the dead zone is largely responsible for the dispersion of crystal growth rates, perhaps due to differences in the thermodynamic stability of the different crystals. The mechanism of growth rate dispersion relates to that of the dead zone.

show abstract

Crystal Growth Rate Dispersion versus Size-Dependent Crystal Growth: Appropriate Modeling for Crystallization Processes

Cited by 40 publications

References 49 publications

Determination of reaction kinetics using grain size: An application for metamorphic zircon growth

Determination of reaction kinetics using grain size: An application for metamorphic zircon growth

Relationship between Surface Roughness, Internal Crystal Perfection, and Crystal Growth Rate

Unusual Crystal Growth Kinetics of (RS)‐Ibuprofen from Ethanolic Solutions

Contact Info

Product

Resources

About