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The quenched instationary polymerization system, 2. Derivation of the radical and polymer chain length distributions for an incomplete pre‐effect
Author(s) -
SchnöllBitai Irene
Publication year - 2000
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/1521-3919(20001101)9:8<469::aid-mats469>3.0.co;2-j
Subject(s) - polymerization , polymer , chain (unit) , maxima and minima , radical , chain termination , radical polymerization , tin , chemistry , maxima , kinetic chain length , thermodynamics , polymer chemistry , materials science , mathematical analysis , mathematics , physics , organic chemistry , quantum mechanics , art , performance art , art history
An instationary polymerization system with constant chain initiation is prevented from attaining a final stationary state by the occurrence of a highly efficient quench reaction which deactivates all radicals present at a certain time t in . The set of differential equations was used to derive the radical spectrum as a function of polymerization time. These, the numerically calculated polymer chain length distributions and the convolutes of both were analyzed in order to determine the chain lengths of the extrema of the first and the second derivatives. These values were found to be proportional to k p [ M ] t in . The values were recalculated by using already derived correction factors and the deviations from the input parameter were in most cases smaller than 1% but became more pronounced as soon as the total polymer concentration was bigger than the total radical concentration.