Distributions in Polyfunctional Condensations

Special Case of Random Branching without Network Forma- 

The branching probability a equals pb, the fraction of B groups reacted. Since Pb = p/(/— 1) where p is written for pa, the fraction of the A groups which have reacted 

The critical value of a being /(/—1) according to Eq. (7), it is apparent from Eq. (15) that a may not reach ac, since the extent of reaction p may approach but never reach unity. These polymers comply with the first two conditions mentioned at the close of the preceding section, they may acquire a multitude of polyfunctional units and the 

Examples of branched polymers of the type under consideration are few. Polymers prepared by Friedel-Crafts condensation of benzyl halides doubtless are properly described as such 

Starch and glycogen are naturally occurring analogs. In the amylo- 

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