## ALPHA-OMEGA TRANSITION IN TITANIUM : EQUATION OF STATE AND KINETICS

We present the construction of free energy functions for the {alpha} and {omega} phases of Ti. These free energies combine information from ambient pressure, static high pressure, and shock wave measurements as well as first principles total energy calculations. The Hugoniot data are analyzed in terms of this equation of state. The Hugoniot consists of three segments: a metastable {alpha}-phase region, a transition region, and an {omega}-phase branch. The extent of the metastability and time resolved wave profiles are discussed in terms of a model in which the transformation rate depends exponentially on the pressure, an assumption which is motivatedmore »