Abstract
In the DSC technique, isothermal crystallization experiments are usually performed on thin flat specimens, but their interpretation generally uses theories developed for an unbounded volume. In this paper, isothermal crystallization of spherical entities in the volume limited by two parallel infinite planes is considered. Our model, derived from Avrami's theory, gives an analytical expression for the transformed volume fraction as a function of time. It is shown that the influence of thickness becomes important when thickness becomes of the order of or smaller than the average spherulite radius. The main effects of a decreasing thickness are a slower crystallization kinetics and a decrease in the Avrami exponent. These results can be used to interpret experimental data obtained in isothermal polymer crystallization.
Similar content being viewed by others
References
Kolmogoroff AN (1937) Izvest Akad Nauk SSSR, Ser Math 1:335
Johnson WA, Mehl RF (1939) Trans AIME 135:416
Avrami M (1939) J Chem Phys 7:1103
Avrami M (1940) J Chem Phys 8:212
Avrami M (1941) J Chem Phys 9:177
Evans UR (1945) Trans Faraday Soc 41:365
Tobin MC (1974) J Polym Sci, Polym Phys Ed 12:399, (1976) 14:2253, (1977) 15:2269
Morgan LB (1954) Phil Trans Roy Soc London A 247:13
Price FP (1965) J Polym Sci, Part A 3:3079
Hillier IH (1965) J Polym Sci, Part A 3:3067
Hoshino S, Meinecke E, Powers J, Stein RS, Newman S (1965) J Polym Sci, Part A 3:3041
Price FP, Thornton JM (1973) J Appl Phys 44:4312
Stein RS, Misra A (1973) J Polym Sci, Polym Phys Ed 11:109
Stein RS, Powers J (1962) J Polym Sci 56:S9
Mandelkern L (1964) Crystallization Kinetics and Mechanisms, in “Crystallization of Polymers”, Mc Graw-Hill, New-York
Hay JN, Przekop ZJ (1979) J Polym Sci, Polym Phys Ed 17:951
Gurato G, Gaidano D, Zannetti R (1978) Makromol Chem 179:231
Kamal R, Chu E (1983) Polym Eng Sci 23:27
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Escleine, J.M., Monasse, B., Wey, E. et al. Influence of specimen thickness on isothermal crystallization kinetics. A theoretical analysis. Colloid & Polymer Sci 262, 366–373 (1984). https://doi.org/10.1007/BF01410254
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01410254