Thermodynamic optimization of the Cr-Ti system

A thermodynamic description of the Cr-Ti system is obtained by the optimiza tion of the available thermodynamic and phase diagram data. The Redlich-Kis ter polynomial is used to describe the excess Gibbs energies of the liquid? bcc and hcp phases. The sublattice model is used to describe the different types of Cr2Ti Laves phases. The alpha-Cr2Ti phase is described with two s ublattices after the formula (Cr,Ti)(2)(Ti,Cr)(1). The beta-Cr2Ti and gamma -Cr2Ti phases are described with three sublattices after the formula (Cr)(2 )(Ti,Cr)(4)(Cr,Ti)(6). Calculated phase diagram and thermodynamic data show good agreement with the experimental data.