Homogeneous liquid:

Molar free energy: G1,L

Average composition: X1

Phase fractions: fL = 1

A atomsB atoms

Spontaneous

S

S

L A atomsB atoms

Two-phase system: solid and liquid:

Molar free energy: Gsep

Average composition: X1

Composition of solid phase: XS

Composition of liquid phase: XL

Phase fractions: fL = ? fS = ?

G

T

GL

GS

Tm,B

Free energy of pure B:

0 0.2 0.4 0.6 0.8 1

XB

G (J/mole)

GS

GL

T > Tm,B > Tm,A

0 0.2 0.4 0.6 0.8 1

XB

G (J/mole)

GS

GL

0 0.2 0.4 0.6 0.8 1

XB

G (J/mole)

GS

GL

0 0.2 0.4 0.6 0.8 1

XB

G (J/mole)

GS

GL

ALL Diagrams for animation

0 0.2 0.4 0.6 0.8 1

XB

G (J/mole)

GS

GL

T > Tm,B > Tm,A

0 0.2 0.4 0.6 0.8 1

XB

G (J/mole)

GS

GL

0 0.2 0.4 0.6 0.8 1

XB

G (J/mole)

GS

GL

0 0.2 0.4 0.6 0.8 1

XB

G (J/mole)

GS

GL

0 0.2 0.4 0.6 0.8 1

XB

G (J/mole)

GS

GL

T = Tm,B > Tm,A

0 0.2 0.4 0.6 0.8 1

XB

G (J/mole)

GS

GL

0 0.2 0.4 0.6 0.8 1

XB

G (J/mole)

GS

GL

0 0.2 0.4 0.6 0.8 1

XB

G (J/mole)

GS

GL

Tm,B > T1 > Tm,A

0 0.2 0.4 0.6 0.8 1

XB

G (J/mole)

GS

GL

XL XS

0 0.2 0.4 0.6 0.8 1

XB

G (J/mole)

GS

GL

Tm,B > T1 > T2 > Tm,A

XL XS

T > Tm,B > Tm,A

Tm,B > T1 > Tm,A

Tm,B > T1 > T2 > Tm,A

T = Tm,B > Tm,A

Tm,B > T = Tm,A

Tm,B > T2 > T3 > Tm,A

XB XL X1 XS

G

G1,LGsep,S Gsep,S

Gsep

GL

GS

XB XL X1 XS

G

A

GL

GS

B C