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The pressure-volume-temperature-entropy equations of state,  P-V-T-S Eos , of polyethylene ( PE ) for its isothermal, isobaric, isochoric and isoentropic ensembles and the correlation between the  P-V-T-S Eos  in the various ensembles were reported in our previous reports. The three dimensional plane plot, 3D plane plot, for the various ensembles, such as the 3D ( P V- V - S V) isochoric plane plot, and the three dimensional list point plot, 3D list point plot, for the ensemble, such as the 3D ( P T,  V T,  S T) isothermal list point plot, were determined based on the  P-V-T-S Eos  of  PE  where the subscripts,  T, P, V,  and  S  meaning for the isothermal, isobaric, isochoric and isoentropic ensembles, respectively. In this paper a projection of the 3D list point plot on the 3D plane plot for an appropriate pair of the planes gave a new 3D plot where the list points in the 3D list point plot were found on the surface of the 3D plane plot.

journal of macromolecular science, part b

Empirical Determination of the Pressure-Volume-Temperature-Entropy Equation of State of Polyethylene in Isothermal, Isobaric and Isochoric Ensembles: III. Correlation Between the Three Dimensional Plane Plot and the Three Dimensional List Point Plot in the Various Ensembles