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As mentioned in the summary section of the report are mechanism of $\alpha$ formation takes place in the titanium alloy. The motivation of studying this phenomenon is integral to understanding the strength of titanium alloys and how to make them more reliable. There are two methods by which $\alpha$ particles strengthen the titanium alloy:  One process, which is extensively described in the summary, is the formation of $\alpha$ that is assisted by metastable phases, $\omega$ or $\beta$’ in some cases. Formation of $\omega$ suggests that the alloy less concentrated with $\beta$ stabilizers and $\beta$’ suggest that the concentration of $\beta$ stabilizers is high. The formation of these $\omega$ and $\beta$’ phases are coherent and uniformly distributed with in the $\beta$ matrix and therefore are easily deformed and form low ductility titanium. Heat treatment of these alloys to higher temperature precipitates incoherent and a homogenous distribution of $\alpha$ particles that makes the alloy harder. This process is better known as precipitation hardening. The $\alpha$ plates are too small to be deformed plastically and act as hard undeformable particles, they also impede the movement of dislocations which gives titanium alloys high yield strength. Since dislocation also determine the plasticity of a material, have well distributed microstructures in a matrix also suggest hardening of titanium. This type of microstructural formation is also observed in bainite structure. Bainite forms as needles or plates, depending on the temperature of the transformation. the microstructural details of bainite very fine and very similar to $\alpha$ plates. As mentioned, heat treatment can be used to increase or decrease the density of alpha formation. Below is a graph of the affect of tempertare on titanium alloy. A higher density of alpha i.e. the second image below would be a more brittle but stiffer form of titanium alloy as it would not allow dislocation to travel through it. \cite{callister_materials_2002}  \cite{lutjering_titanium_2007}