Kinetics of the formation of Liesegang rings

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• 作者：V. I. Kuz’min (1)
  A. F. Gadzaov (1)
  D. L. Tytik (2)
  S. A. Busev (2)
  A. A. Revina (2)
  V. V. Vysotskii (2)
  
• 关键词：solutions ; Liesegang rings ; critical points ; gels ; bound water ; magnesium chloride salts ; nanoparticles ; diffusion equation ; anamorphosis ; physicochemical periodic processes
• 刊名：Journal of Structural Chemistry
• 出版年：2013
• 出版时间：December 2013
• 年：2013
• 卷：54
• 期：2-supp
• 页码：363-378
• 全文大小：993 KB
• 参考文献：1. K. Beneke, / Liesegang named in Literature (Published 1790-2003), Kiel (2004).
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  3. A. Scheel, / Nonlinearity, lass="a-plus-plus">22, 457-83 (2009). lass="external" href="http://dx.doi.org/10.1088/0951-7715/22/2/012" target="_blank" title="It opens in new window">CrossRef
  4. J. Lewis, / Value. The Conjugate Function [in Russian], Atomizdat, Moscow (1972).
  5. A. V. Zhirmunsky and V. I. Kuzmin, / Critical Levels in the Development of Natural Systems, Springer-Verlag, Berlin (1988). lass="external" href="http://dx.doi.org/10.1007/978-3-642-73017-7" target="_blank" title="It opens in new window">CrossRef
  6. A. V. Zhirmunskii and V. I. Kuz’min, / Critical Levels in the Development of Natural Systems [in Russian], Nauka, Leningrad (1990).
  7. A. D. Myshkis, / Linear Differential Equations with a Retarded Argument [in Russian], Nauka, Moscow (1972).
  8. N. M. Emmanuel and D. G. Knorre, / Course of Chemical Kinetics [in Russian], Vysshaya Shkola, Moscow (1969).
  9. V. V. Vysotskii, O. Ya. Uryupina, A. V. Gusel’nikova, and V. I. Roldugin, / Colloidal Zh., lass="a-plus-plus">71, No. 6, 728-33 (2009).
  
• 作者单位：V. I. Kuz’min (1)
  A. F. Gadzaov (1)
  D. L. Tytik (2)
  S. A. Busev (2)
  A. A. Revina (2)
  V. V. Vysotskii (2)
  
  1. Moscow State Technical University of Radio Engineering, Electronics, and Automatics, Moscow, Russia
  2. A. N. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, Moscow, Russia
  
• ISSN：1573-8779

文摘

The kinetics of the formation of Liesegang rings is considered and they are classified. The relationship between the position of the propagating diffusion front and the moments of the formation of Liesegang rings is shown. In order to describe the formation processes of the Liesegang rings a generalized model based on the diffusion equation hierarchy is proposed. The kinetics of changes in the dispersed phase sizes at the initial stage of the formation of Liesegang rings is studied.