Nucleation, Crystallization, and Growth Flashcards
Nucleation
Initial formation of one phase inside another
All nucleation processes have:
Energetic barrier against formation
Two types of nucleation
Homogeneous, heterogeneous
Homogeneous nucleation
Spontaneous particle formation
Heterogeneous nucleation
Formation of particle on a seed of foreign material
Why seed important in heterogeneous nucleation?
Seed provides lower barrier to formation at interface
Majority of nucleation processes are of what type
Heterogeneous
Understanding nucleation rate diagram
Heterogeneous nucleation peaks at a higher temperature so it is easier. Supercooling is required to initiate homogeneous nucleation.
Why nucleation limited on diagram?
Lowered concentration of nucleating material after phase change, and also atoms prefer to grow on existing nuclei.
Weaker bond energies in a material mean (wrt supercooling)
More supercooling is needed to induce homogeneous nucleation
What limits nucleation in slightly undercooled liquids?
Surface tension of small particle radius
What produces nucleation in slightly undercooled liquids?
Bulk fluctuations overcoming surface tension barrier to nucleation
Undercooled liquid is considered to be (wrt stability)
metastable phase – free energy not minimum
The free energy change of nucleation is labeled:
\DeltaG_r
The free energy change of phase formation is labeled:
\DeltaG_v
Critical radius, how labeled
r*
How r* derived
Maximum value of free energy of nucleation
What controls surface tension of particles
Fluctuations in bulk or seed
\sigma in nucleation equations
Surface tension
Nr*/N
Number of particles of critical radius compared to total number of particles
Nr*/N implications for density
Higher density results in less nucleation
Nr*/N implications for phase transformation energy
Higher phase transformation energy change increases particles of critical radius