Materials- Metals: Phase Transformation for Materials Processing Flashcards
What is diffusion-depend transformation 1?
Where there is no change in number or composition of phases present (e.g solidification of pure metal)
What is diffusion-depend transformation 2?
Where there is some alteration in phase compositions and possibly the number of phases present. The final microstructure normally has 2 phases present.
What is produced in a diffusionless transformation?
A metastable phase
What are the two stages in the progress of a phase transformation?
Nucleation (only few hundred atoms) and growth
Difference between homogeneous and heterogeneous nucleation
Homogeneous: nuclei of the new phase form uniformly throughout the parent phase.
Heterogeneous: nuclei form preferentially at structural inhomogeneities such as container surfaces, soluble impurities, grain boundaries, dislocations.
When will a spontaneous phase transformation occur?
Only when the Gibbs free energy has a negative value
What are the two energy contributions to free energy change that accompanies a solidification transformation?
Free energy difference between solid and liquid phases (volume free energy, ΔGv) which will be negative if the temperature is below the equilibrium solidification temperature.
Formation of the solid-liquid phase boundary during solidification transformation (surface free energy, γ) which is positive.
Describe the change in free energy during solidification
Solid particle begins to form as atoms in liquid cluster together and it’s free energy first increases. If this cluster reaches a size corresponding to the critical radius r, then growth will continue with the accompaniment of a decrease in free energy to form a nucleus. But if the cluster has a radius less than r then it will shrink and re-dissolve (this was an embryo).
What is activation free energy?
ΔG*. The free energy required for the formation of a stable nucleus (or energy barrier to nucleation)
In the homogeneous nucleation equations, what are ΔHf, Tm, T?
ΔHf is latent heat of fusion
Tm in melting temperature in K
T is temperature of system
What does lowering the temperature at temperatures below equilibrium solidification temperature mean for nucleation?
Nucleation occurs more readily because critical radius and ΔG* decrease
Formula for number of stable nuclei having radius greater than r, n
n=K1e^(-ΔG/kT)
k is Boltzmann’s constant
Graph of T against n* like decay curve
Rate of diffusion equation
νd=K2e^(-Qd/kT)
νd is frequency at which atoms from the liquid attach themselves to the solid nucleus
Qd is activation energy for diffusion
Graph of T against νd forms cave
Formula for nucleation rate (nuclei per unit volume per second), N•
N•=K3n*νd
Describe and explain how lowering temperature below Tm affects nucleation rate
The nucleation rate first increases, achieves a maximum, then diminishes. Nucleation rate suppressed at high temperatures because of small activation driving force. At lower temperatures, low atomic mobility suppresses nucleation rate.
For heterogeneous nucleation, why is the activation energy lowered when nuclei form on pre-existing surfaces or interfaces?
Because the surface free energy is reduced
What are the three steps of particle growth by long-range atomic diffusion?
Diffusion through the parent phase, across a phase boundary, into the nucleus