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Solid Solution Concepts

Solid solutions are materials consisting of two or more elements where the atoms are mixed at a local level, forming a homogeneous structure.

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The statement of the theorem

Define a solid solution

\mathcal{S}

as a material composed of elements A and B, where the local atomic arrangement is homogeneous. The composition is defined by the mole fraction

x_A

and

x_B = 1-x_A

. The stability of the solid solution is determined by the minimization of the Gibbs Free Energy of mixing,

\Delta G_{mix}

, relative to the pure components:\n

\Delta G_{mix}(x_A, T, P) = \sum_{i} x_i \Delta G_{i}^{\circ} + R T \sum_{i} x_i \ln(x_i) + \Omega x_A x_B