2000
DOI: 10.1063/1.481685
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A mesoscopic model of nucleation and Ostwald ripening/stepping: Application to the silica polymorph system

Abstract: Precipitation is modeled using a particle size distribution ͑PSD͒ approach for the single or multiple polymorph system. A chemical kinetic-type model for the construction of the molecular clusters of each polymorph is formulated that accounts for adsorption at a heterogeneous site, nucleation, growth, and Ostwald ripening. When multiple polymorphs are accounted for, Ostwald stepping is also predicted. The challenge of simulating the 23 order of magnitude in cluster size ͑monomer, dimer, . . . , 10 23 -mer͒ is … Show more

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Cited by 20 publications
(27 citation statements)
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“…Failure to account for such processes excludes from consideration the formation of metastable secondary phases in the system, and their eventual transformation into more stable phase assemblages as described by the Ostwald Rule of Stages (Ostwald, 1897). Earlier modeling of the Ostwald Rule is limited to those undertaken by Steefel and Van Cappellen (1990) and Ozkan and Ortoleva (2000). Substantial refinements would be needed to successfully model the systems under consideration in this paper.…”
Section: Model Limitationsmentioning
confidence: 99%
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“…Failure to account for such processes excludes from consideration the formation of metastable secondary phases in the system, and their eventual transformation into more stable phase assemblages as described by the Ostwald Rule of Stages (Ostwald, 1897). Earlier modeling of the Ostwald Rule is limited to those undertaken by Steefel and Van Cappellen (1990) and Ozkan and Ortoleva (2000). Substantial refinements would be needed to successfully model the systems under consideration in this paper.…”
Section: Model Limitationsmentioning
confidence: 99%
“…Other aspects relating to mineral transformation kinetics such as nucleation, the preferential formation and persistence of metastable phases (Steefel and van Capellen, 1990;Ozkan and Ortoleva, 2000) and Ostwald ripening are omitted from the current model. Discussion of their potential impact on the results of the simulations presented in this paper are deferred to Section 5.…”
Section: Geochemical Datamentioning
confidence: 99%
“…The hybrid method similar to that described in [37] has been applied recently by Ozkan and Ortoleva [43] to model nucleation, Ostwald ripening and stepping in the silica polymorph system. In this method the cluster size domain is divided into two parts; for small clusters (n < N $ 100) discrete kinetic equations are applied, while for large clusters a continuous kinetic equation is written with respect to the ln(n) variable.…”
Section: Methodsmentioning
confidence: 98%
“…Similar to [37,43] we keep the original finite difference set of equations up to some number, N ) 1, of atoms in clusters. For larger sizes, the discrete Master equation is transformed, by the Taylor series expansion up to the second-order terms, into the continuous Fokker-Planck equation…”
Section: Methodsmentioning
confidence: 99%
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