Z-average degree of polymerization

From the moments we can calculate the number, weight, and z-average degrees of polymerization which are defined thus ... 

Table 1. Number, weight, and z-average degrees of polymerization for the random homopolymerization of bifunctional monomer calculated using the Smoluchowski equation (Eq. 8) and expressed in terms of time (t) and conversion degree (p)...

Here, i , and represent the number-, weight-, and z-average degrees of polymerization. In the particular case when h=l, equation 11) gives the weight distribution for the exponential equation (10). 

It is important to point out that this characteristic degree of polymerization is proportional to the z-average degree of polymerization near the gel point for any functionality f... 

Moments of the distribution with k>2 diverge at the gel point (because 2- 0 always). The z-average degree of polymerization of— the finite-size branched polymers is the ratio of the third and second moments ... 

Derive the following result for the z-average degree of polymerization of hyperbranched polymers assuming no intramolecular reactions ... 

The so-called z- erage molecular weight M, and Z-average degree of polymerization DP, which are given by... 

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