On the Dimensions of Intramolecularly Crosslinked Polymer Molecules. III. The Measurement of the Dimensions of Intramolecularly Crosslinked Polystyrene

G. Allen, J. Burgess, S. F. Edwards, D. J. Walsh
1973 Proceedings of the Royal Society A  
The intram olecularly crosslinked polystyrene molecules, prepared as in p a rt I of this series, were exam ined by th e techniques of light scattering, osmom etry, viscom etry, an d gel perm eation chrom atography. Their molecular masses an d molecular mass distribution rem ained constant over all the stages of the reaction radii of gyration were determ ined and th e results com pared w ith those predicted in p a rt I I of this series. I n t r o d u c t i o n This paper is concerned with an
more » ... rimental investigation, on the polymers described in part I of this series, of some of the consequences of a general theory of polymerized materials developed by one of the authors. This theory is extended in p art I I of this series to the particular case of the dimensions of an intramolecularly crosslinked polymer molecule, th a t is, a molecule which contains links between certain segments of the molecule and other segments of the same polymer molecule. The basic theory (Edwards & Freed 1970) deals with a very long threadlike molecule having zero cross-section and no specific chemical structure. The chain has permanent internal connexions (crosslinks) a t random points along its contour length. A variational calculation is made on the potential due to the crosslinks. The relation between the unperturbed mean-square radius of gyration (R q) of a coil containing m randomly placed intramolecular crosslinks and the unperturbed mean square radius of gyration of the original free chain (R q) 0 is found to be In principle this theoretical relation can be checked directly by light scattering measurements under theta conditions on a suitably crosslinked polymer sample. Unless, however, the molecular weight of the original uncrosslinked sample of poly mer is extremely large, the radius of gyration of the intramolecularly crosslinked
doi:10.1098/rspa.1973.0104 fatcat:z437cponbvcpjmg4nsuchhrbb4