# chemistry

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(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
You have used 3 of 3 submissions
(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.
You have used 1 of 2 submissions
(c) At point 3, calculate the phase fraction of the phase richest in Nd.

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