Abstract
The applicability of the Gibbs-DiMarzio (G-DM) theory of the glass transition (Tg) is quantitatively evaluated for polystyrene (PS). The analysis was conducted under the assumption that both the inter- intramolecular energy ratio (r) and the effective chain segment density (n) remain constant while the fractional free volume at Tg(Vo) varies as a function of the reciprocal degree of polymerization (103/P). Based upon reduced parametric plots of Tg/Tg∞ versus 103/P, the results showed that the G-DM equations were satisfactory for PS; when 0.015 ≦ Vo ≦ 0.045, optimum agreement occurred at n = 1.80, r = 1.05.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
T. G. Fox and P. J. Flory, J. Appl. Phys., 21:581 (1950)
J. H. Gibbs, J. Chem. Phys., 25: 185 (1956).
J. H. Gibbs and E. A. DiMarzio, J. Chem. Phys., 28: 373 (1958).
J. Moacanin and R. Simha, J. Chem. Phys., 45: 964 (1966).
A. Eisenberg and S. Saito, J. Chem. Phys., 45: 1673 (1966).
R. P. Kusy and A.. R. Greenberg, Polymer, 23: 36 (1982).
E. A. DiMarzio Annals N. Y. Acad. Sci.370:1 (1981)
A. R. Greenberg and R. P. Kusy, Polymerin press
R. P. Kusy and A. R. Greenberg, Polymer, accepted for publication.
RR. Sokal and F. J. Rohlf, in “Biometry”, WH. Freeman, Ch. 7, 13 and 14 (1969).
J. Neter and W. Wasserman, “Applied Linear Statistical Models,” R. D. Irwin, Inc., Homewood, Illinois, Ch. 5 (1974).
J. B. Enns, R. R. Boyer and J. K. Gillham, Polym Preprints18(2):475 (1977).
T. G. Fox and P. J. Flory, J. Polym. Sci.14:315 (1954)
C. A. Glandt, H. K. Toh, J. K. Gillman and R. F. Boyer,Polym. Preprints, 16 (2): 126 (1975).
S. Krause and M. Iskander, Proc. 10th N. Amer. Therm. Anal. Conf, Boston, 51 (1980).
M. J. Richardson and N. G. Savill, Polymer, 18: 3 (1977).
A. Rudin and D. Burgin, Polymer, 16: 291 (1975).
S. J. Stadnicki, J. K. Gillham, and R. F. Boyer, Polym. Preprints, 16 (1): 559 (1975).
K. Ueberreiter and G. Kanig, Z. Naturforsch., 6A: 551 (1951).
K. Ueberreiter and G. Kanig, J. Colloid Sci., 7: 569 (1952).
A. A. Miller, J. Polym. SciA2:1095 (1964)
M. L. Williams, R. F. Landel and J. D. Ferry, J. Amer. Chem. Soc.77:3701 (1955)
M. L. Williams, J. Appl. Phys.29:1395 (1958).
Y. S. Lipatov, V. F. Rosovizky and V. F. Babich, Eur. Polym. J.13:651 (1977).
JMG Cowie and SAE. Henshall, Eur. Polym. J.12:215 (1976).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Plenum Press, New York
About this chapter
Cite this chapter
Greenberg, A.R., Kusy, R.P. (1984). Quantitative Evaluation of the Gibbs-Dimarzio Theory of the Glass Transition for Polystyrene. In: Johnson, J.F., Gill, P.S. (eds) Analytical Calorimetry. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2699-1_13
Download citation
DOI: https://doi.org/10.1007/978-1-4613-2699-1_13
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-9677-5
Online ISBN: 978-1-4613-2699-1
eBook Packages: Springer Book Archive