Branched random-flight chains

Although the expression in Table 8.1 for P(q,0) for the random-flight chain is specifically valid for linear chains, an approximation useful for branched random-flight chains is obtained if the expression Rl=dLI3 appearing in that P(q,0) for the linear chain is replaced by the R = gdL / 3, where the parameter g = [R / [R is known for a wide... 

If interactions between parts of the molecule separated by many links (the excluded volume effect ) is absent, so that the chains obey random-flight statistics, takes its unperturbed value, (s ). Theoretical calculations of the dimensions of branched molecules usually assume random flight chains, and values of the mean-square radius so obtained are estimates of . 

For flexible regular-star branched molecules with / identical arms (/ random-flight chains starting from a common node), P(q) is given by (10,1 1)... 

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