Binary Alloy Thermodynamics
Regular solution model — Gibbs free energy of mixing, spinodal & binodal
Parameters
Temperature T:
600
K
Interaction Ω:
8000
J/mol
ΔH_A (enthalpy):
0
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Theory
Regular solution model:
ΔH_mix = Ω·x(1−x)
ΔS_mix = −R[x ln x + (1−x)ln(1−x)]
ΔG_mix = ΔH_mix − TΔS_mix
Spinodal: d²G/dx² = 0
Binodal: common tangent
Critical point:
T_c = Ω/2R, x_c = 0.5
Miscibility gap: T < T_c
T_c: --
Phase: --