33
Views
2
CrossRef citations to date
0
Altmetric
Articles

Empirical Determination of the Partition Function of Polyethylene Based on Its Pressure-Volume-Temperature-Entropy Isochoric Equation of State. II. The Pressure and Entropy Expressed by the Modified Partition Function

Pages 1234-1247 | Received 07 Nov 2022, Accepted 05 Dec 2022, Published online: 31 Dec 2022

References

  • Anderson, OL. The Use of Ultrasonic Measurements under Modest Pressure to Estimate Compression at High Pressure. J. Phys. Chem. Solids. 1966; 27: 547–565. DOI: 10.1016/0022-3697(66)90199-5.
  • Vaboya, S. N.; Kennedy, G. C. Compressibility of 18 Metals to 45 Kbar. J. Phys. Chem. Solids 1970, 31, 2329–2345. DOI: 10.1016/0022-3697(70)90247-7.
  • Winey, J. M.; Duvall, G. E.; Knudson, M. D.; Gupta, Y. M. Equation of State and Temperature Measurements for Shocked Nitromethane. J. Chem. Phys. 2000, 113, 7492–7501. DOI: 10.1063/1.1312271.
  • Shim, S.-H.; Duffy, T. S.; Takemura, K. Equation of State of Gold and Its Application to the Phase Boundaries near 660 km Depth in the Earth’s Mantle. Earth Planet. Sci. Lett. 2002, 203, 729–739. DOI: 10.1016/S0012-821X(02)00917-2.
  • Wang, Y.; Zhang, J.; Xu, H.; Lin, Z.; Daemen, L. L.; Zhao, Y.; Wang, L. Thermal Equation of Copper Studied by High P-T Synchrotron x-Ray Diffraction. Appl. Phys. Lett. 2009, 94, 071904. DOI: 10.1063/1.3085997.
  • Mukherjee, D.; Joshi, K. D.; Gupta, C. High Pressure Equation of State and Ideal Compressive and Tensile Strength of MgO Single Crystal: Ab-Initio Calculations. J. App. Phys. 2013, 113, 233504. DOI: 10.1063/1.4811232.
  • Katsura, T.; Tange, Y. A Simple Derivation of the Birch-Murnaghan Equations of State (EOSS) and Comparison with EOSS Derived from Other Definitions of Finite Strain. Minerals 2019, 9, 745. DOI: 10.3390/min9120745.
  • Singh, S. P. A Simple Derivation of a New Equation of State (EOS) Based on Eulerian Finite Strain and Its Applicability. Pramana-J. Phys. 2022, 96, 74–83. DOI: 10.1007/s12043-022-02312-3.
  • Gilmour, I.; Trainor, A.; Haward, R. N. Calculation of the Gruneisen Constant of Glassy Polymers from Thermoelastic Data. J. Polym. Sci. Polym. Phys. Ed. 1978, 16, 1291–1295. DOI: 10.1002/pol.1978.18016074.
  • Anderson, O. L.; Isaak, D. G.; Yamamoto, S. Anharmonicity and the Equation of State for Gold. J. Appl. Phys 1989, 65, 1534–1543. DOI: 10.1063/1.342969.
  • Olinger, B. The Compression of Solid N2 at 296 K from 5 to 10 GPa. J. Chem. Phys. 1984, 80, 1309–1311. DOI: 10.1063/1.446810.
  • Holmes, N. C.; Moriarty, J. A.; Gathers, G. R.; Nellis, W. J. The Equation of State of Platinum to 660 GPa(6.6 Mbar). J. Appl. Phys. 1989, 66, 2962–2967. DOI: 10.1063/1.344177.
  • Saeki, S. Empirical Determination of Pressure-Volume-Temperature-Entropy Equation of State of Polyethylene in Isothermal, Isobaric and Isochoric Ensembles. J. Macromol. Sci. Part B., Phys. 2022, 61, 26–36. DOI: 10.1080/00222348.2022.2127744.
  • Saeki, S. Empirical Determination of the Isoenthalpic and Isoentropic Equations of State of Polyethylene Based on the Pressure-Volume-Temperature-Entropy Equation of State. J. Macromol. Sci. Part B., Phys. 2022, 61, 882–896. DOI: 10.1080/00222348.2022.2116919.
  • Saeki, S. Empirical Determination of the Internal Energy of Polyethylene Based on the Pressure-Volume-Temperature-Entropy Equation of State. J. Macromol. Sci. Part B., Phys. 2022, 61, 439–451. DOI: 10.1080/00222348.2022.2049044.
  • Saeki,  S. Empirical Determination of the  Partition Function of Polyethylene  Based on Its Pressure-Volume-Temperature-Entropy  Isochoric Equation of State. J.  Macromol. Sci. Part B., Phys. 2022, 61, 26–36. DOI: 10.1080/00222348.2021.1955187.
  • Moelwyn-Hughes, E. A. Physical Chemistry: Pergamon Press, Oxford-London-NewYork-Paris, 1961. doi/pdf/ DOI: 10.1021/ed039p378.2.
  • Wunderlich, B. Motion in Polyethylene. II. Vibrations in Crystalline Polyethylene. J. Chem. Phys 1962, 37, 1207–1216. DOI: 10.1063/1.1733267.
  • Saeki, S.; Tsubokawa, M.; Yamaguchi, T. Semi-Empirical Equation on Temperature Dependence of Heat Capacity for Polymers and Simple Liquids. Polymer (Guildf) 1989, 30, 156–160. DOI: 10.1016/0032-3861(89)90396-0.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.