Kinetics of reaction-controlled Ostwald ripening of precipitates in the steady state
書誌事項
- 公開日
- 1978-02
- 権利情報
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- https://www.elsevier.com/tdm/userlicense/1.0/
- DOI
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- 10.1016/0021-9797(78)90146-7
- 公開者
- Elsevier BV
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説明
Abstract In order to approach the general kinetics of reaction-controlled Ostwald ripening, analytical solutions of the time-independent size distribution function and the aging rate have been derived for a general reaction-controlled aging of precipitates in the steady state, where the rate constants are different between surface reactions of particle dissolution and growth, and the reaction orders are identical. The shape of the distribution function is determined both by the reaction order and the ratio of the rate constant of growth to that of dissolution. The fundamental shape of the distribution function in the growth range depends only on the reaction order, and is independent of the rate constants. The relative particle radius which gives the maximum in the distribution function, p, is a function of reaction order and the ratio of the rate constants. This particle radius is in growth range for diffusion-controlled aging, and in dissolution range for reaction-controlled aging if the reaction is higher than first order. A time-independent aging rate for reaction-controlled steady state has been defined. According to the aging rate, the change of a particle radius which is in equilibrium with solution is proportional to 1/(ν + 1)th power of time, where v is the reaction order. Furthermore, it is independent of the rate constant of particle dissolution. The relationships between the reaction control and the diffusion control, and experimental determination of the kinetic constants have been discussed.
収録刊行物
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- Journal of Colloid and Interface Science
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Journal of Colloid and Interface Science 63 (2), 369-377, 1978-02
Elsevier BV
