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The pressure-temperature ( P-T ) phase diagram for polyethylene ( PE ) was calculated based on the empirical Gibbs free energy ( G ) equation of state,  GFE-Eos , for the crystalline  PE  ( crys-PE ) and the amorphous  PE  ( amor-PE ) where the  GFE-Eos  consists of variables such as the pressure ( P G), volume ( V G), temperature ( T G), and entropy ( S G) which satisfy the condition that the  G  is constant. The  GFE-Eos  for the  crys-PE  and the  amor-PE  can be expressed by three dimensional ( TG - PG - G ) planes, from which the melting temperature ( T m) line was evaluated. The thermodynamic quantities of  Vm  and  Sm  for the  crys-PE  and  amor-PE  at  T mand their discontinuous changes,andalong the melting line were evaluated and discussed based on the Clapeyron equation for the phase transition.

journal of macromolecular science, part b

Empirical Determination of the Pressure-Temperature Phase Diagram of Polyethylene Based on the Pressure-Volume-Temperature-Entropy Gibbs Free Energy Equation of State