Dimensions of Polybutadiene-Type Molecules

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Abstract
The calculation of root-mean-square end-to-end distances (Rp) is carried out for polybutadiene-type molecules. A table and graphs are given for this dimension as a function of the fraction of 1,2 and 1,4 addition and the percentage cis- and trans-configuration about the double bonds remaining in the chain. Also the root-mean-square radius of gyration (Rg) for molecules with all 1,4 addition has been calculated. It is found that Rp2=6Rg2 as is true for polymer molecules all of whose bonds can rotate completely freely and for those molecules where freely rotating bonds maintain fixed valence angles. Free rotation about the single bonds, a linear chain, no volume exclusion effect, and a polymer molecule with many monomer units are assumed.

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