Zero-One System Smith-Ewart Cases 1 and

In a zero-one system, the inactive polymer chains are formed in particles containing one radical by chain transfer to monomer and by instantaneous termination upon entry of one radical. 

The balance for inactive chains of length m in particles with one radical (Ni) is given by Eq. (34), where is the total number of radicals of length m in particles Ni. 

Integration of Eq. (34) allows calculation of the whole molecular weight distribution. However, this is computationally demanding and often the MWD is represented in terms of the moments of the distribution, the feth-order moment of the distribution being defined by Eq. (35). 

Combination of Eqs. (34) and (35) yields Eq. (36), where is the generation rate of the fcth-order moment of the distribution of inactive chains and is the fcth-order moment of the distribution of active chains. 

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