Russian Journal of Physical Chemistry B

, Volume 4, Issue 3, pp 517–520 | Cite as

The fluctuation kinetics of formation of nanoparticles: Particle-size distribution

Chemical Physics of Nanomaterials
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Abstract

A stochastic simulation of the growth of particles on a uniform cubic lattice was performed by the Monte Carlo method. Changes in the width of the distribution (M w /M n ) as the size of particles increased were extremal in character. Distribution narrowing occurred much more slowly than in classic polymerization. An empirical equation relating the number of free vacancies of a growing particle and its mean size was obtained. The introduction of a stabilizer deactivating free vacancies of a growing particle caused the appearance of a critical phenomenon. At stabilizer concentrations higher than critical, large-sized particles could not form. At stabilizer concentrations close to critical, the particle-size distribution was bimodal. This resulted in an anomalously larger distribution width.

Keywords

Particle Size Distribution Critical Phenomenon Random Fluctuation Stabilizer Concentration Initial Growth Stage 

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References

  1. 1.
    I. P. Suzdalev and P. I. Suzdalev, Usp. Khim. 70, 203 (2001).Google Scholar
  2. 2.
    D. Frenkel and B. Smit, Understanding Molecular Simulation: From Algorithms to Applications (Academic, San Diego, 2002).Google Scholar
  3. 3.
    Ya. B. Zel’dovich and A. S. Mikhailov, Usp. Fiz. Nauk 153, 469 (1987) [Sov. Phys. Usp. 30, 977 (1987)].CrossRefGoogle Scholar
  4. 4.
    R. F. Khairutdinov, Usp. Khim. 67, 125 (1998).Google Scholar
  5. 5.
    Physico-Chemical Phenomena in thin Films and Solid Surfaces, Ed. by L. I. Trakhtenberg, S. H. Lin, and O. J. Ileghusi (Elsevier, New York, 2007).Google Scholar
  6. 6.
    V. P. Zhdano and V. B. Kasemo, Chem. Phys. Lett. 460, 158 (2008).CrossRefGoogle Scholar
  7. 7.
    A. F. Shestakov, V. N. Solov’ev, V. V. Zagorskii, and G. B. Sergeev, Zh. Fiz. Khim. 68, 155 (1994).Google Scholar
  8. 8.
    E. V. Bystritskaya and O. N. Karpukhin, Khim. Fiz. 28(10), 91 (2009) [Russ. J. Phys. Chem. B 28, 851 (2009)].Google Scholar
  9. 9.
    L. Rodrigues-Sanchez, M. L. Blanko, and M. A. Lopez-Quintela, J. Phys. Chem. B 104, 9683 (2000).CrossRefGoogle Scholar
  10. 10.
    F. Grohn, B. J. Bauer, Y. A. Akpalu, C. L. Jackson, and E. J. Amis, Macromolecules 33, 6042 (2000).CrossRefGoogle Scholar
  11. 11.
    P. Mendes, Comp. Appl. Biosci. 9, 563 (1993).Google Scholar
  12. 12.
    Al. Al. Berlin and S. A. Wolfson, Kinetic Method on the Synthesis of Polymers (Khimiya, Moscow, 1973) [in Russian].Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  1. 1.Semenov Institute of Chemical PhysicsRussian Academy of SciencesMoscowRussia

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