Assuming that the rate of reaction of an unreacted site in polymer reactions depends upon whether the two immediate neighboring sites on either side (four neighboring sites in all) are reacted or unreacted, differential equations were obtained giving the rate of change of Nn with time (where Nn is the number of sequences of n consecutive unreacted sites with a reacted site at both ends) and solved numerically with the help of a computer. Nn was obtained as a function of time and also as a function of M, the total number of unreacted sites. Three sets of values of k were tried, one of these relating to autocatalytic reaction, one to autoretarding reaction, and one to the null case in which the reaction rates do not depend upon the neighbors.
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