Calculation of Sol and Gel Fractions

Depending on the specific distribution followed by the primary chains, the recursive equation for sol fraction can take several forms. If primary chains follow an exponential distribution (Flory distribution). Equation 

Equation (9.B.3) represents the Charlesby-Pinner s equation [109], which is widely employed to analyze the gel curve. 

If it is assumed that scission can occur with a probability P, then Equation 9.B.3 becomes  

On the other hand, the expression for uniform polymer chains is given by Equation 9.B.5 and represents the simplest form of Equation 9.B.I. 

The proper knowledge of the functional form of followed by every polymerization scheme would be the key factor for describing the evolution of gel content according to Equation 9.B.I. For a conventional free radical polymerization, the weight length distribution for primary chains that are formed at x = 6 is given by [110]  

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