Abstract: MATH/CHEM/COMP 2002, Dubrovnik,
June 2429, 2002

Pearsontype I Distribution Function for Polydisperse Polymer
Systems. Molecular Mass Distribution
Grozdana BogdaniC^{1} and Lajos Jakab^{2}
^{1}INA  Industrija nafte, d.d., Strategic Development, Research and
Investment Sector, Lovinciceva b.b., 10002 Zagreb, POB 555, Croatia ^{2}Formerly KFKI, Atomic Energy Research
Institute, H 1525 Budapest, Hungary An attractive feature of the
distribution function, which uses relatively simple expression for
approximating probability density, is presented. The Pearsontype I distribution
function is used to represent the molecular mass distribution (MMD) function
for polymers for which the number average, _{}, weight average, _{}, zaverage, _{}, and z+1 average, _{}, values are available. Consequently, estimations of the
different molecular mass average values (i.e. _{}, _{}, _{} and _{}, respectively), are performed from experimentally
determined MMD, proposing the Pearsontype I function as a model MMD
function, fitting the model parameters and using nonlinear regression. 