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

  • E. V. Bystritskaya
  • O. N. Karpukhin
Chemical Physics of Nanomaterials


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.


Particle Size Distribution Critical Phenomenon Random Fluctuation Stabilizer Concentration Initial Growth Stage 
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© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

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

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