Prediction of Molecular Weights for Condensation Polymerization of Polyfunctional Monomers

A New Derivation of Average Molecular Weights of Nonlinear Polymers

“…If some of the starting species are oligomers, as is often the case, with a distribution of molecular weight, Ziegel, Fogiel, and Pariser have discussed which average molecular weights should be used in eq 23. 13 In practice Af is often mixed with A2 to control the chain length between branch points and small amounts of A1 can be present as impurities. It is not hard to write the general system of equations for Af,'s reacting with B,'s.…”

“…If A' has reacted (with B', say) it equals WB'm, the weight attached to B' looking in direction -. µ outf 0 if A' does not react A 1 WB'm if A' does react (with B') (13) As in eq 5, the law of total probability for expectations (eq…”

Average Degrees of Polymerization and Molar Masses of Branched and Hyperbranched Condensation Polymers: Recursive Probability Approach

“…This equation can also be applied to mixtures of polydisperse “monomers”, such as reactive oligomers. In this case, summations involving M i n i and M i 2 n i must be replaced by summations involving n i and n i , respectively, where and are the number- and mass-average molar masses of the i -type “monomer” …”

“…In this case, summations involving M i n i and M i 2 n i must be replaced by summations involving M n,i n i and M n,i M w,i n i , respectively, where M n,i and M w,i are the numberand mass-average molar masses of the i-type "monomer". 42 Summations involving only functionalities remain obviously unchanged.…”

Development of a quantitative theory of polycondensation

“…Computer simulations applied for the calculation of branched copolycondensation of some mixtures of monomers with two types of functional groups gave results [283,284] which are in a good agreement with those of analytical calculations. The direct summation of the differential MWD was proposed to calculate its integral form [285] and average degrees of polymerization [286].…”