A new method for estimating the molecular weight distribution (MWD) by the analysis of diffusion curve of an unfractionated polymer sample has been proposed. First, the sample is divided into
n fractions and a set of
n diffusion coefficients (designated as
D1 for
i-th fraction) are selected from pseudorandom numbers generated in a computer. It is assumed for convenience that the concentration of each fraction (
c1) is equal. Then, by giving these
D1′s and
c1 in the diffusion equation, the diffusion curve of this system is synthesized. If the curve is appreciably different from the experimental curve, a new set of
D1′s are selected and the above mentioned procedures are repeated. The set of diffusion coefficients which give the diffusion curve most closely related to the experimental curve is made to represent the most approximate composition of the sample. This method was applied to the analysis of phenol-urea-formaldehyde resin and the following equation was obtained for the relationship between viscosity-diffusion average molecular weight (
MVDA) and diffusion coefficient (
DA):
MVDA=0.17×10
-10DA-2.5.
By this equation, the diffusion coefficient distribution was transformed into MWD. Then the effects of monomer feed ratio on MWD of the polymer were discussed.
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