A simple model to ascertain the initial formation concentration of athermal ω phase in titanium alloys

•The cohesive energy of ω phase is calculated with empirical electron theory (EET).•A simple model for the initial formation concentration of athermal ω is proposed.•The established model exhibits the mean absolute relative errors of 4.90%.

This article describes a simple model to ascertain the initial formation concentration of athermal ω phase in titanium alloys through the self-consistent bond length difference (SCBLD) method in the empirical electron theory (EET) of solids and molecules. The results indicate that the calculated cohesive energies can be used to determinate the initial formation concentration of athermal ω phase in titanium alloys in combination with the critical concentration Ck. Moreover, the deterministic model accords well with the experimental results, with the average value of absolute relative errors of 4.90%.

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