G. Fevotte et al., MODELING OF THE GLASS-TRANSITION TEMPERATURE OF FREE-RADICAL COPOLYMERS - AN APPROACH FOR CONTROL PURPOSES, Chemical Engineering Science, 53(12), 1998, pp. 2241-2256
A method that allows one to determine the relationship between the evo
lution of copolymer composition and the distribution of glass transiti
on temperatures is presented in this work. The experimental validation
of the model is based on histograms of T-g distributions which were c
omputed from DSC thermograms by using a new model-based optimisation t
echnique. This technique allows us to obtain both the average T-g of t
he overall copolymer and the cumulative distribution of T-g as a funct
ion of the degree of advancement of the copolymerisation reaction, eve
n in the case of reaction with composition drift. The modelling strate
gy was used successfully to analyse the evolution of the T-g with conv
ersion of several free radical copolymers of styrene and butyl acrylat
e in emulsion. In particular, it has been shown that the value of the
glass transition temperature of an ideally alternating copolymer, T-g,
used in the Johnston (1973 Macromolecule 6, 453-456) equation, is in
fact a function of the copolymer composition, and may vary by as much
as 50 degrees C. The model of T-g presented here can be used to contro
l profiles of glass transition temperature distributions (not just ave
rages) during semi-continuous polymerisation processes. (C) 1998 Elsev
ier Science Ltd. All rights reserved.