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Nucleation at changing density of monomers
Author(s) -
Kashchiev Dimo
Publication year - 1985
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/crat.2170200602
Subject(s) - nucleation , supersaturation , monomer , thermodynamics , kinetics , chemistry , kinetic energy , molecule , exponential function , physics , polymer , quantum mechanics , mathematics , mathematical analysis , organic chemistry
The kinetics of nucleation at constant supersaturation are analyzed when the process occurs at changing density of those monomers (atoms or molecules) that start the nucleation chain of consecutive bimolecular reactions. The Zeldovich kinetic equation is solved for arbitrary time variation of the monomer density and exact general expressions are obtained for the time dependence of the nonstationary nucleation rate J and the density N of nuclei formed in the system up to time t . Exponential decrease and increase of the monomer density are considered as examples, and the corresponding J ( t ) and N ( t ) dependences are analytically found.