Number of clusters formed in nucleation-growth processes

Slezov, V. V.; Schmelzer, J.; Tkatch, Ya. Y.
November 1996
Journal of Chemical Physics;11/8/1996, Vol. 105 Issue 18, p8340
Academic Journal
The number of clusters, N, formed in nucleation-growth processes in first-order phase transformations, and their average size, , at the end of the stage of independent growth of the supercritical clusters are determined analytically. It is shown that the number of clusters, N, depends only on the thermodynamic parameters like initial supersaturation, specific interfacial energy etc. but not on the values of kinetic parameters like the diffusion coefficient. In addition, estimates are given for the duration of the different stages of the nucleation-growth process. In this way, a complete quantitative description of the basic characteristics of first-order phase transformations (e.g., segregation in solid or liquid solutions, vapor condensation, etc.) is established. The results are in excellent agreement both with experimental results as well as with computer calculations modelling nucleation and growth based on the numerical solution of the set of kinetic equations describing this process in the framework of classical nucleation theory. © 1996 American Institute of Physics.


Related Articles

  • The significance of cluster lifetime in nucleation theory. Barrett, Jonathan C. // Journal of Chemical Physics;5/22/2002, Vol. 116 Issue 20, p8856 

    Collisions between vapor monomers and small clusters may create short-lived states that will decay before undergoing equilibriating collisions with other (vapor or gas) molecules. As the vapor pressure (and hence the number of monomer–cluster collisions) increases, the number of such...

  • Molecular dynamics of homogeneous nucleation in the vapor phase. I. Lennard-Jones fluid. Yasuoka, Kenji; Matsumoto, Mitsuhiro // Journal of Chemical Physics;11/15/1998, Vol. 109 Issue 19, p8451 

    Investigates the dynamics of vapor phase homogeneous nucleation in Lennard-Jones fluid clusters. Description of nucleation process simulation method; Thermodynamic properties of the fluid system; Analyses of cluster size and nucleation rate; Model calculation of cluster size change;...

  • Kinetics of heterogeneous nucleation for low mean cluster populations. Bhatt, Jayesh S.; Ford, Ian J. // Journal of Chemical Physics;2/15/2003, Vol. 118 Issue 7, p3166 

    The process of nucleation is normally described using rate equations for the mean populations of molecular clusters. This approach can be justified for cases where these mean populations are large. However, it may be unsuitable in the case of heterogeneous nucleation on small particles if the...

  • Clustering and nucleation in supersaturated regular solutions. Rasmussen, D. H. // Journal of Chemical Physics;8/15/1986, Vol. 85 Issue 4, p2277 

    The energetics of cluster formation is evaluated for a supersaturated binary liquid–liquid system. Regular solution thermodynamics are combined with dynamic surface tension evaluation to determine cluster stability. The composition and size of the critical nucleus is predicted for several...

  • A model for the nucleation of diamond clusters on Si(111) substrates. Mahalingam, Pushpa; Liu, Huimin; Dandy, David S. // Journal of Applied Physics;2/15/1997, Vol. 81 Issue 4, p1966 

    A theoretical study of the nucleation, size, and structure of diamond phase carbon clusters on Si(111) substrates is presented. Molecular mechanics analysis has been utilized to predict energetically and entropically feasible pathways for nucleation of the carbon clusters. Several mechanistic...

  • Composition of critical clusters in ternary nucleation of water–n-nonane–n-butanol. Viisanen, Y.; Strey, R. // Journal of Chemical Physics;11/8/1996, Vol. 105 Issue 18, p8293 

    In previous papers the determination of the molecular contents of critical clusters has been performed. Both unary and binary vapor mixtures have been examined. This paper describes the first study of a ternary system. Using a nucleation pulse chamber accurate measurements of homogeneous...

  • Molecular theory of vapor phase nucleation: The physically consistent cluster. Reiss, H.; Tabazadeh, A.; Talbot, J. // Journal of Chemical Physics;1/15/1990, Vol. 92 Issue 2, p1266 

    A statistical mechanical theory is developed to demonstrate that the appropriate (natural and consistent) physical cluster (to be used in a molecular theory of the nucleation of drops in supersaturated vapor far from the critical temperature) is that introduced by Reiss, Katz, and Cohen as well...

  • Identifying physical clusters in bubble nucleation. Kusaka, Isamu; Oxtoby, David W. // Journal of Chemical Physics;7/15/1999, Vol. 111 Issue 3, p1104 

    Discusses an approach to molecular simulation of bubble nucleation. Stochastic evolution of a system chosen as a small part of the liquid phase; Physical clusters relevant to nucleation; Coarse-grained description of the stochastic process.

  • An explicit cluster model for binary nuclei in water–alcohol systems. Laaksonen, Ari; Kulmala, Markku // Journal of Chemical Physics;11/1/1991, Vol. 95 Issue 9, p6745 

    A new thermodynamical model for the description of critical clusters in water–alcohol systems has been developed. The clusters are divided into an interior layer and a unimolecular surface layer. The surface excess of alcohol in the cluster is the same as in macroscopic liquid. The model...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics