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PHASE
DIAGRAMS
By:
Ahmad Reza Gharibi
Materials properties
2
Presentation index
Some basic concepts & applications
Unary phase diagram
Cooling curves
Gibbs' phase rule
(Eutectic) binary phase diagram & lever rule
Some basic concepts
• System
• Phase
• Phase equilibrium
• Phase diagram (equilibrium diagram)
• Alloy
• Solubility of solids
Unary phase diagram
just one component (pure)
P
Unary phase determinants V
T
 Common variables: P-T
Cooling curves
Gibbs’ Phase Rule
P + F = C + 2
F : degrees of Freedom
C : number of Components P + F = C +1
P : number of Phases For binary systems
Binary phase diagram
Common variables : P - T - C (composition)
P or T = Cte
Complete solubility
Binary system : Partial solubility
Insolubility have eutectic point
Phase diagram for partially solid solution
 Determination of
composition and
weight fractions
using lever law in
two-phase regions
Phase diagram
Phase diagram

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Phase diagram