
Driving Force for the Phase Transition in Materials
 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.

=================================================================================
As an example, assuming Ti (titanium) film is first deposited on a Si substrate, the free energy of the system will change if the Ti atoms react with the Si atoms to form titanium silicide (TiSi_{2}) film. To form a TiSi_{2} layer in thickness t, 0.4t of the Ti film and 0.9t of the Si substrate need to be consumed. Therefore the free energy change ΔG to form the TiSi_{2} layer is,
ΔG = A [(G_{0TiSi2}  0.4G_{0Ti}  0.9G_{0Si})t + γ_{TiSi2}+ γ_{TiSi2/Si}  γ_{Si}] = AΔγ  [144]
where,
G_{0TiSi2}  The volume term of TiSi_{2},
G_{0Ti}  The volume term of Ti,
G_{0Si}  The volume term of Si,
Δγ  The surface/interface term of the Gibbs free energy change,
γ_{Si}  The Si substrate surface energy,
γ_{TiSi2/Si}  The TiSi_{2}/Si interface energy
γ_{TiSi2}  The TiSi_{2} surface energy.
Note that the driving force for the C49 to C54 transition is the energy differences of G_{0TiSi2}, γ_{TiSi2/Si}, and γ_{TiSi2}. for the two phases.

=================================================================================
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.

