A calculation of the unperturbed mean‐square end‐to‐end distance of isotactic and syndiotactic vinylic polymer chains in solution

Abstract

AbstractThe results of a detailed conformational analysis given in a previous paper11 are briefly summarized in order to calculate the physical parameters which characterize the most probable conformations of an isotactic and syndiotactic polymer chain in an unperturbed solution. Moreover, a mathematical method of calculation of the mean‐square end‐to‐end distance, which also uses the matrix method of KRAMERS and WANNIER, and has advantages in some cases, is described, either for the isotactic or for the syndiotactic chain; the resulting values are given as a function of the physical parameters previously calculated. The calculated expression of the mean‐square end‐to‐end distance for an isotactic vinylic polymer is compared with an experimental value given for polystyrene10: the resulting value of ΔE (extra‐energy at a joint between segments spiralized in opposite sense) and Z (degrees of freedom in the same joint with respect to a (TG) or (GT) monomer unit) are in good qualitative agreement with the figures assumed by us.