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There are two main studies that are used to explain the nucleation of $\alpha$ particle. Neither of them have proven to be the one and only method of nucleation of $\alpha$
One by azimzadeh and Rack
[14] suggests that $\alpha$ particles nucleate near $\omega/\beta$ but at a certain distance. The argument in this paper is that alloying elements like Al are present in titanium alloys, are $\alpha$ stabilizers while $\omega$ destabilisers. SO the area around the $\omega$ are rich in Al content which promotes the growth of $\alpha$ particles in the vicinity of $\omega$ due to rejection.
There is another speculation that the $\alpha$ plates form at the core of $\omega$, this process is known as displacive transformation. This is proven by using TEM and HRTEM, as mentioned in the introduction.