Concentration dependence of the lattice constant of disordered interstitial solid solutions

The lattice constant of the A-(C) interstitial solid solutions is calculated, and its dependence on the solution composition is determined for arbitrary concentration c_C of the C atoms and their arbitrary distribution over interstices of different types. For c _c ≪1, a linear dependence of the lattice constant on c_C is established, which is also observed experimentally. The influence of temperature redistribution of interstitial atoms over interstices of different types, leading to a specific nonlinear temperature dependence of the lattice constant, is investigated. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 3–5, December, 2005.