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Number of results
2008 | 113 | 5 | 1331-1338

Article title

A Simplified Method for the Estimation of Hole Free Volume Fraction from the Specific Volume

Content

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Languages of publication

EN

Abstracts

EN
A brief introduction in the equation of state of the Simha-Somcynsky hole theory is presented. This theory allows to calculate the volume fraction h of free volume holes from pressure-volume-temperature experiments. These holes are detected by ortho-positronium and from the value of h and the mean ortho-positronium hole size the hole density may be calculated. We discuss a simplified method to estimate h which makes use of the relation V* = 1.52V_W between the scaling volume V* of the Simha-Somcynsky hole theory equation of state and the van der Waals volume V_W. Moreover, we present a new simplified method for the estimation of h which starts with the Schottky (Arrhenius) equation for the concentration of thermal vacancies and makes use of a linear relation between the scaling temperature T* and the hole formation enthalpy H_h, H_h(kJ/mol)=6.54×10^{-4}T*(K).

Keywords

EN

Contributors

author
  • ITA Institut fűr Innovative Technologien, Köthen, Aussenstelle Halle, Wiesenring 4, D-06120 Lieskau (bei Halle/S.), Germany
author
  • Leibniz-Institut fűr Polymerforschung Dresden e.V., Hohe Strasse 6, D-01069 Dresden, Germany

References

  • 1. Principles and Application of Positron and Positronium Chemistry, Eds. Y.C. Jean, P.E. Mallon, D.M. Schrader, World Scientific, Singapore 2003
  • 2. R. Simha, T. Somcynsky, Macromolecules 2, 342 (1969)
  • 3. L.A. Utracki, R. Simha, Macromol. Theory Simul. 10, 17 (2001)
  • 4. R. Simha, G. Carri, J. Polym. Sci., Part B: Polym. Phys. 32, 2645 (2094)
  • 5. S. Vleeshouwers, J.-E. Kluin, J.D. McGervey, A.M. Jamieson, R. Simha, J. Polym. Sci., Part B: Polym. Phys. 30, 1429 (1992)
  • 6. R. Srithawatpong, Z.L. Peng, B.G. Olson, A.M. Jamieson, R. Simha, J.D. McGervey, T.R. Maier, A.F. Halasa, H. Ishida, J. Polym. Sci., Part B: Polym. Phys. 37, 2754 (1999)
  • 7. M. Schmidt, F.H.J. Maurer, Macromolecules 33, 3879 (2000)
  • 8. G. Consolati, F. Quasso, R. Simha, B. G. Olson, J. Polym. Sci., Part B: Polym. Phys. 43, 2225 (2005)
  • 9. G. Dlubek, J. Pionteck, D. Kilburn, Macromol. Chem. Phys. 205, 500 (2004);G. Dlubek, V. Bondarenko, I.Y. Al-Qaradawi, D. Kilburn, R. Krause-Rehberg, Macromol. Chem. Phys. 205, 512 (2004);D. Kilburn, J. Wawryszczuk, G. Dlubek, J. Pionteck, R. Hässler, M.A. Alam, Macromol. Chem. Phys. 207, 721 (2006)
  • 10. G. Dlubek, U. De, J. Pionteck, N.Yu. Arutyunov, M. Edelmann, R. Krause-Rehberg, Macromol. Chem. Phys. 206, 827 (2005);G. Dlubek, M.Q. Shaikh, R. Krause-Rehberg, M. Paluch, J. Chem. Phys. 126, 024906 (2007)
  • 11. D. Kilburn, G. Dlubek, J. Pionteck, M.A. Alam, Polymer 47, 7774 (2006)
  • 12. G. Dlubek, E.M. Hassan, R. Krause-Rehberg, J. Pionteck, Phys. Rev. E 75, 031803 (2006);G. Dlubek, J. Pionteck, M.Q. Shaikh, E.M. Hassan, R. Krause-Rehberg, Phys. Rev. E 75, 021802 (2006)
  • 13. M. Rudel, J. Kruse, K. Raetzke, F. Faupel, Yu.P. Yampolskii, V.P. Shantarovich, G. Dlubek, Macromolecules 41, 788 (2008);G. Dlubek, J. Pionteck, J. Kruse, K. Rätzke, F. Faupel, Y. Yampolskii, V.P. Shantarovich, submitted to Macromolecules
  • 14. D. Kilburn, G. Dlubek, J. Pionteck, D. Bamford, M.A. Alam, Polymer 46, 859, 869 (2005)
  • 15. D.W. van Krevelen, Properties of Polymers, Elsevier Sci. Publ. Co., Amsterdam 1990

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.bwnjournal-article-appv113n509kz
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