influential observations, influence function, influence on the subspace spanned by eigenvectors, principal factor analysis, perturbation theory of eigenvalue problems,
Gel points are investigated as the critical extent of
reaction
at gelation by FT-IR and viscoelastic measurements for the network
formed by the epoxy–amine system. The reaction systems examined
are comprised of diglycidyl ether of bisphenol A (DGEBA) and polyoxypropylene
(POP) diamine of different chain lengths with various degrees of dilution.
The experimental results are obtained as the delay of gel point, that
is the delay from the gel point expressed by the Flory–Stockmayer
formula, and interpreted in terms of ring formation caused by intramolecular
reaction which is characterized by the ring forming parameter of λ0. This parameter relates with the internal concentration (in
mol L–1) of reactive groups P
ab, for RA
fa + R′B
fb type polymerization. The analyses of the conversion
curve (p vs t curve, where p denotes the extent of reaction) obtained by FT-IR measurement
are carried out on the basis of the kinetic model of the epoxy-amine
reaction to find the ratio of rate constant. For all the reaction
systems, gelation occurs in excess of Flory–Stockmayer gel
point; the excesses are 0.09–0.15 in extent of reaction. λ0 is determined from the gel point data through the p
c–λ0 relationship developed
in the first part of this study, where the schemes of unequal reactivity
and the states of reaction for POP diamine unit are incorporated.
The gel point data are also applied to the p
c–λ0 relationship where these schemes
are not incorporated. Following λ0, P
ab and the length of bond are derived and compared in
terms of the effect of difference in these schemes.
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