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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

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Title: 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
Authors: Saeki, Susumu1 (AUTHOR)
Source: Journal of Macromolecular Science: Physics. 2023, Vol. 62 Issue 10, p572-582. 11p.
Subjects: Equations of state, Graphical projection, Isobaric processes
Abstract: 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 (PV-V-SV) isochoric plane plot, and the three dimensional list point plot, 3D list point plot, for the ensemble, such as the 3D (PT, VT, ST) 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. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Macromolecular Science: Physics is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: 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
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Macromolecular+Science%3A+Physics%22">Journal of Macromolecular Science: Physics</searchLink>. 2023, Vol. 62 Issue 10, p572-582. 11p.
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  Data: 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 (PV-V-SV) isochoric plane plot, and the three dimensional list point plot, 3D list point plot, for the ensemble, such as the 3D (PT, VT, ST) 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Journal of Macromolecular Science: Physics is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1080/00222348.2023.2235792
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      – Code: eng
        Text: English
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        PageCount: 11
        StartPage: 572
    Subjects:
      – SubjectFull: Equations of state
        Type: general
      – SubjectFull: Graphical projection
        Type: general
      – SubjectFull: Isobaric processes
        Type: general
    Titles:
      – TitleFull: 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
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            NameFull: Saeki, Susumu
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              M: 10
              Text: 2023
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              Y: 2023
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            – TitleFull: Journal of Macromolecular Science: Physics
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