Modeling of growth rate dispersion of citric acid monohydrate in continuous crystallizers

Berglund, Kris A.; Larson, M. A.

doi:10.1002/aic.690300217

Cited by 76 publications

(51 citation statements)

References 5 publications

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“…Table 6. Growth Rate Dispersion of some other organic and inorganic materials Judge et al [18] Judge et al [18] Finnie et al [83] Berglund and Murphy [87] Berglund and Larson [86] Garside and Ristic [17] This study However, caution should be exercised in over interpreting this data as errors e.g. due to the blurring of the crystal boundaries together with minor errors from manual measurements etc.…”

Section: Variation In Growth Rates Between Crystals Prepared Under Thmentioning

confidence: 84%

Precision measurement of the growth rate and mechanism of ibuprofen {001} and {011} as a function of crystallization environment

et al. 2014

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Article:Nguyen, TTH, Hammond, RB, Roberts, KJ et al. (2 more authors) (2014) Precision measurement of the growth rate and mechanism of ibuprofen {001} and {011} as a function of crystallization environment. CrystEngComm, 16 (21). 4568 -4586. ISSN 1466-8033 https://doi.org/10.1039/c4ce00097h eprints@whiterose.ac.uk https://eprints.whiterose.ac.uk/ Reuse Unless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version -refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher's website. TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request. acetonitrile. The crystal growth rates of the {001} and {011} faces of spontaneously nucleated crystals are precisely measured in-situ using optical microscopy revealing that their respective growth rates increase with increasing supersaturation to different extents, depending on the solvent type, with concomitant impact on the crystal habit. The measured aspect ratios, as a function of supersaturation, are generally higher at the 15 mL than the 0.5 mL scale size.Analysis of the growth rates versus supersaturation is consistent with a 2-D surface nucleation (Birth and Spread) model for both faces and at both scale sizes. The growth rates of the {001} and {011} faces exhibit much less growth rate dispersion when compared to literature data for a stirred batch crystallizer. 2The data is rationalized by examining the surface chemistry of the growing faces revealing, e.g. that polar protic solvents inhibit the growth rate of faces containing available binding sites for hydrogen bonding formation, such as carboxylic acid groups.

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Section: Variation In Growth Rates Between Crystals Prepared Under Thmentioning

confidence: 84%

Precision measurement of the growth rate and mechanism of ibuprofen {001} and {011} as a function of crystallization environment

et al. 2014

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“…Large crystals were not formed in saturated or undersaturated solution, but in supersaturated solutions tended to grow more rapidly than small crystals. Contact nuclei of citric acid monohydrate, on the other hand, showed growth rate dispersion but no size-dependent growth (Berglund and Larson, 1982). Very slow or zero growth rates for small secondary nuclei have been reported by Bujac (1976), who worked with aqueous solutions of pentaerythritol, and by van't Land and Wienk (1976) in their studies on sodium chloride.…”

Section: Introductionmentioning

confidence: 94%

“…Recent microscopic studies of individual secondary nuclei have observed growth rate dispersion and size-dependent growth directly (Garside and Larson, 1978;Berglund and Larson, 1982). and Garside (1979) report that two types of potassium alum secondary nuclei form after gentle contact of a seed crystal.…”

Section: Introductionmentioning

confidence: 98%

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Size‐dependent crystal growth—A manifestation of growth rate dispersion in the potassium alum‐water system

Girolami

Rousseau

1985

AIChE Journal

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Growth of potassium alum crystals was characterized by the advance rates of crystals on the leading edge of population distributions and by the advance rates of the modes of these distributions. Growth rates of crystals on the leading edge appeared to follow size-dependent kinetics, but the observed spread of the distribution about the average size was much greater than would be expected from size-dependent growth alone. The spread of the distribution was correlated with the extent of growth determined from the net advance of the average crystal size. These quantitative and qualitative results show that what has often been referred to as size-dependent growth is in fact a manifestation of growth rate dispersion. M SCOPEBoth growth rate dispersion and size-dependent growth have been observed to occur under specific conditions in the aqueous potassium alum system. Data on this and other systems often exhibit characteristics of these growth anomalies, and it has been unclear to what extent each mechanism of growth rate variability contributes to or controls the measured growth kinetics and the development of a crystal size distribution. The importance of being able to identify the correct growth mechanism is based on the role it plays in obtaining crystallization kinetics from experimental or operating data, and on the use of such data for the design of large-scale crystallizers.The analysis of crystal size distributions to determine nucleation and growth kinetics requires a knowledge of the relationship of growth rate to crystal size. Such analyses are simple if all crystals in a population grow at identical rates and have no dependence on size. Deviations from invariant crystal growth have been noted for quite some time, but it is only recently that such deviations have been attributed to growth rate dispersion rather than size-dependent growth. Distinction between these two sources of anomalous growth is difficult because their effect on a crystal size distribution is the same: they cause a distribution to spread during growth and, for perfectly mixed crystallizers, they indicate higher nuclei population densities than would be expected for invariant crystal growth. This similarity can cause crystal size distributions obtained through one of the anomalous growth mechanisms to be misinterpreted as the result of the other. In such cases, using correlations based on the incorrect mechanism could lead to a serious errors in scale-up and design.The objectives of this study were to characterize the effects of growth rate variability on the form of developing crystal size distributions of both large and small potassium alum crystals, to separate the effects of size-dependency and growth rate dispersion, and to develop correlations of the observed behavior that could be used to analyze potassium alum systems and give qualitative guidance to the behavior of other systems. CONCLUSIONS AND SIGNIFICANCEGrowth rate variability, whether the result of size-dependent growth or growth rate dispersion, causes an increase in the s...

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“…The explanation which has emerged after a number of theoretical (35)(36)(37)(38)(39)(40) and experimental studies (41)(42)(43)(44)(45)(46) is known as growth rate dispersion. This unexpected concept says that crystals of the same size and material exposed to identical conditions of supersaturation, temperature and hydrodynamics do not necessarily grow at the same rate.…”

Section: Growth Rate Dispersionmentioning

confidence: 99%

Crystallization Research in the 1990s

Myerson¹

1990

ACS Symposium Series

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Crystallization from solution is an important separation and purification process in a wide variety of industries. These range from basic materials such as sucrose, sodium chloride and fertilizer chemicals to pharmaceuticals, catalysts and specialty chemicals. The major purpose of crystallization processes is the production of a pure product. In practice however, a number of additional product specifications are often made. They may include such properties as the crystal size distribution (or average size), bulk density, filterability, slurry viscosity, and dry solids flow properties. These properties depend on the crystal size distribution and crystal shape. The goal of crystallization research therefore, is to develop theories and techniques to allow control of purity, size distribution and shape of crystals.The past 30 years have seen great advances in our understanding of the fundamentals of crystallization and has resulted in improved crystallizer design and operation. A dominant theme during this period was the analysis and prediction of crystal size distributions in realistic industrial crystallizers. This led to the development and refinement of the population balance technique which has become a routine tool of the crystallization community. This area is best described in the book of Randolph and Larson (1) which has been an indispensable reference and guide through two editions.Another important development which altered our view of crystallization processes was the realization of the importance of secondary nucleation due to contact between crystals and the impeller and vessel. Secondary nucleation of this type has been shown (2-6) to often have a dominant role in determining crystallizer performance. Our understanding of crystal growth, nucleation, flu id mechanics and mixing have all greatly improved. A number of review Qz 1Q) have appeared in recent years which describe the advances in these and

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Modeling of growth rate dispersion of citric acid monohydrate in continuous crystallizers

Cited by 76 publications

References 5 publications

Precision measurement of the growth rate and mechanism of ibuprofen {001} and {011} as a function of crystallization environment

Precision measurement of the growth rate and mechanism of ibuprofen {001} and {011} as a function of crystallization environment

Size‐dependent crystal growth—A manifestation of growth rate dispersion in the potassium alum‐water system

Crystallization Research in the 1990s

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