Abstract
ABSTRACTThe method of moments has shown its versatility to calculate various average molecular weights based on the kinetic schemes especially for nonlinear polymerizations. About 40 years ago, Bamford and Tompa (1953, 1954) proposed a numerical method to calculate the molecular weight distribution profile from its moments by application of the Laguerre polynomials. In this paper, the applicability of this method is reinvestigated using some of the representative distribution functions in polymer science such as the Schulz-Zimm distribution (Schulz, 1939; Zimm, 1948) and the logarithmic normal distribution. It was found that the series does not converge fast and even severe oscillatory behaviour is observed depending on the breadth and the shape of distribution functions. The approximation using Laguerre polynomials has shown fairly limited applicability especially for broad distributions that are of significant use in nonlinear polymerizations.
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