(a) The phase diagram of the binary system, neodymium-scandium (Nd-Sc) is given below. There are two polymorphs in the solid state: α which is hexagonal close packed (HCP) and β which is body-centered cubic (BCC).
Identify all phases present at points 1, 2, and 3.
Point 1:
Liquid
Vapor
β-phase
Sc-rich β-phase
Nd-rich β-phase
α-phase
Sc-rich α-phase
Nd-rich α-phase
Point 2:
Liquid
Vapor
β-phase
α-phase
Point 3:
Liquid
Vapor
β-phase
Sc-rich β-phase
Nd-rich β-phase
α-phase
Sc-rich α-phase
Nd-rich α-phase
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(b) Are there any examples of a three-phase equilibrium in this phase diagram?
Yes, there is a eutectic at 700 degrees C and 60 at. % Sc.
Yes, there is a eutectoid at 800 degrees C and 22 at. % Sc.
Yes, there is a peritectic at 800 degrees C and 22 at. % Sc.
No, there are no three-phase equilibrium points in this diagram.
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(c) At point 3, calculate the phase fraction of the phase richest in Nd.
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