Dielectric relaxation in dilute solutions of polar chain molecules

The dielectric properties of polymer solutions are calculated on the assumption that each polymer molecule may be divided in N submolecules whose end‐to‐end distance shows Gaussian distribution. Electrical charges of alternating sign are attributed to the ends of these submolecules. The equations of motion are given for free‐drained structures. From these equations of motion the diffusion equation in configuration space is constructed. The average dipole moment can be calculated by a simple integration procedure. It is found that there should be two dispersion regions, one at low frequencies proportional to 1/ N 2 and one at high frequencies independent of N . The high frequency maximum in the loss curve has a shape which is very nearly that for a process with a single relaxation time.