Nucleation Rate
- Practical Electron Microscopy and Database -
- An Online Book -

http://www.globalsino.com/EM/  



 
This book (Practical Electron Microscopy and Database) is a reference for TEM and SEM students, operators, engineers, technicians, managers, and researchers.
 

=================================================================================

Based on classical nucleation theory, the nucleation rate R can be given by,

        nucleation rate R ----------------------- [1723a]
             = n*β ----------------------- [1723b]

where,
         N -- The total number of nucleation sites per unit volume,
         ni -- The number of available atoms at interface,
         v -- The jump frequency,
         k -- The Boltzmann constant,
         p -- The probability that the atomic jump will be in the proper direction,
         Ea -- The activation energy for the atomic jump across the interface,
         ΔG* -- The Gibbs free energy at the critical radius,
         n* -- The average population of critical nuclei,
         β -- The diffusion of atoms to the cluster.

The average population of critical nuclei is given by,

        nucleation rate R ----------------------- [1723c]

The diffusion of atoms to the cluster is given by,

        nucleation rate R ----------------------- [1723d]

Equation 1723a indicates that the nucleation rate increases exponentially as the temperature is increased.

 

=================================================================================

The book author (Yougui Liao) welcomes your comments, suggestions, and corrections, please click here for submission. You can click How to Cite This Book to cite this book. If you let Yougui Liao know once you have cited this book, the brief information of your publication will appear on the “Times Cited” page.



 
 
 
Copyright (C) 2006 GlobalSino, All Rights Reserved