Determination of nucleation and growth rates from induction times in seeded and unseeded precipitation of calcium carbonate

Verdoes, D.; Kashchiev, Dimo; Rosmalen, G.M. van

doi:10.1016/0022-0248(92)90089-2

Cited by 133 publications

(162 citation statements)

References 18 publications

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“…The solution-based technique provides more accurate growth rate values than the technique based on changes in the particle size distribution, but may nevertheless contain systematic deviations because of the above-mentioned assumptions. Nevertheless, the values of the present work and those presented by Kralj et al (1990) agree reasonably well with those obtained by Verdoes et al (1992) and Spanos et al (1998). The former study included both seeded and unseeded experiments to obtain information about the kinetics and mechanism of nucleation and growth.…”

Section: Growth Ratessupporting

confidence: 87%

“…Previous results for the growth of Vaterite in the literature have shown that the particles grow by a surface reaction-controlled mechanism characterized by a parabolic rate law. This research has resulted in quite different values for the growth rate constant k r at 25°C, 1.06 ϫ 10 Ϫ10 and 1.17 ϫ 10 Ϫ10 m s Ϫ1 for Ͻ 2.5 at pH ϭ 9.0 and 10.0, respectively (Spanos et al, 1998); 5.6 ϫ 10 Ϫ10 m s Ϫ1 for Ͻ 2 (Kralj et al, 1990); and 2.4 ϫ 10 Ϫ12 m s Ϫ1 for Ͻ 1 (Verdoes et al, 1992).…”

Section: Theory Supersaturationmentioning

confidence: 95%

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Growth and aggregation of vaterite in seeded‐batch experiments

Andreassen

Hounslow

2004

AIChE Journal

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Section: Growth Ratessupporting

confidence: 87%

Section: Theory Supersaturationmentioning

confidence: 95%

Growth and aggregation of vaterite in seeded‐batch experiments

Andreassen

Hounslow

2004

AIChE Journal

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“…7 represent the t i (S) data of Verdoes et al [38] for precipitation of CaCO 3 (vaterite) in an aqueous solution at T = 298 K and S = 9.0 to 22.4 (as according to Eq. (8) S = s 2 , these values correspond to the s range of 3.0 to 4.7 used by these authors).…”

Section: Induction Timementioning

confidence: 99%

Review: Nucleation in solutions revisited

Kashchiev¹,

Rosmalen

2003

Cryst. Res. Technol.

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577

623

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Existing and new results in nucleation in solutions are outlined from a unified point of view. The thermodynamics of the process is considered and expressions are given for the supersaturation, the nucleation work and the size of the nucleus in homogeneous or heterogeneous nucleation. It is shown how the nucleation theorem can be used for a model-independent determination of the nucleus size from experimental data. The mechanism and kinetics of nucleation are also considered and formulae are presented for the supersaturation dependence of the monomer attachment frequency and the stationary rate of homogeneous or heterogeneous nucleation. General expressions for the induction time and the critical supersaturation ratio for crystallization are given. An approximate formula is derived for estimating the width of the metastable zone with the help of data for the solubility of the substance crystallized. Existing experimental data are used for verification of the validity of some of the presented theoretical dependences. Dedicated to Professor K. W. Benz on the occasion of his 65th birthday.

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“…In that case it is not unreasonable to assume (as is often done [2]) that the induction time is inversely related to the nucleation rate, and hence depends on supersaturation, temperature and interfacial tension. Induction time is also influenced by external factors such as the presence of impurities [3,4] and seeds [5,6]. Among these factors, supersaturation is the most influential factor determining induction time and has an inverse effect on it [2].…”

Section: Introductionmentioning

confidence: 99%

Induction Time of Reaction Crystallization of Silver Nanoparticles

et al. 2007

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This paper describes the measurement of induction time in the reaction crystallization of silver nanoparticles at different temperatures and supersaturations, and compares it with classical nucleation theory. Silver nanoparticles are synthesized by a reaction of silver nitrate with hydrazine in the presence of sodium citrate as stabilizer. Induction time is estimated from an absorption-time graph obtained by monitoring the absorption of the solution after creation of supersaturation. The results show that induction time decreases with increasing supersaturation and temperature. The classical nucleation theory can well predict experimental data. Interfacial tension is estimated at different temperatures and compared with two correlations for calculation of interfacial tension.

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Determination of nucleation and growth rates from induction times in seeded and unseeded precipitation of calcium carbonate

Cited by 133 publications

References 18 publications

Growth and aggregation of vaterite in seeded‐batch experiments

Growth and aggregation of vaterite in seeded‐batch experiments

Review: Nucleation in solutions revisited

Induction Time of Reaction Crystallization of Silver Nanoparticles

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