CH11 - Transformations Flashcards
(31 cards)
Homogenous nucleation?
nucleation takes place at any defect-free point in the matrix (and directly from solution)
Exsolution?
when former homogenous phase separates into 2 or more solid solution phases under sub solidus conditions.
(Lots of little crystals in host crystal. Always organised with respect to each other and host)
Nucleation and growth?
the mechanism in which most first order and reconstructive transformations take place. A new phase is initiated by a local fluctuation in composition and/or structure which develops into parent.
What does formation of critical radius nucleus depend on?
Depends on if embryo can overcome activation energy barrier. Ea decreases as undercooling increases
Limitations to thermodynamic predictions about exsolution?
Nucleation - undercooling is required for new phase to nucleate and overcome strain energy Kinetics - Formation of 2 phases requires diffusion to nucleation site. This can take a long time at low temperatures
what does coherency of the interface depend on?
nature of the interface (structural similarity) and shape of the precipitate
Coherent solvus?
situation with no energy barrier; much greater for homogenous nucleation due to greater undercooling
Heterogeneous nucleation?
involves nucleation and growth of the product phases within the parent phase. Takes place on defects
What are defects?
Disruptions in the lattice. Include point, line and planar defects. Different to bulk structure
what happens if nucleation destroys part of a defect?
Activation energy barrier is reduced
where is nucleation likely to start?
Always expected to begin at grain junctions/boundaries as the amount of undercooling needed is less for heterogenous nucleation. low energy sites
Does thermodynamics or kinetics have more control on nucleation at equilibrium temperatures?
Thermodynamics have more control because diffusion may be high at equilibrium temp, however rate of nucleation is low because of high dG.
But at LOW TEMPERATURES it is more kinetically controlled because the dG is low. Low diffusion and low nucleation
Solid solution?
homogenous mix of 2 or more elements in a solid state with a single crystal structure
What are the types of interfaces by migration?
Glissile (athermal) and Non-Glissile (thermal)
Interface-controlled growth?
controlled by rate at which atoms of the parent phase can cross the interface and become part of the new phase. Characteristic of displacive and reconstructive polymorphic transformations
Diffusion-controlled growth?
In an exsolution transformation, growth may require long-range diffusion due to differences in chemical and physical structure. This may control the rate
Can interface-controlled growth dominate when two phases have different compositions?
Yes. When the interface is incoherent, it does not present a structural obstacle. Migration Is controlled by rate of supply of atomic ingredients. Incorporation on a coherent plane results in instability, making migration difficult. Thus growth is interface controlled
Stepped interfaces?
lamellar plates with a dislocation at each step. The interface can then growth perpendicular to itself by the lateral migration of these steps. Found in pyroxenes, amphiboles and feldspars
- Form due to low mobility of coherent and semi-coherent interfaces
- Control degree of coherency - increase coherency
After initial nucleation, growth of exsolution depends on?
- Diffusion of atoms to growth site
- Incorporation of these atoms into the surface of new phase
What if rate of diffusion is less than incorporation?
Diffusion controlled reaction
What is rate of diffusion is greater than incorporation?
Interface controlled reaction
Why does diffusion occur?
The bulk diffusion of atoms results from thermal oscillations which may have sufficient amplitude to cause an atom to jump randomly from one site to the next
Fick’s First Law?
the rate of flow is proportional to concentration gradient
Fick’s Second Law?
When the concentration profile is concave down in a given region, the concentration decreases with time.