A study was made of the frequency- and temperature-dependent protonic hopping conductivity, in H-bonded chains, on the basis of a 2-stage transport model which took account of interactions with optical-phonon stretching modes. Analytical calculations, performed using the Kubo theory, revealed the 2-step nature of proton-delocalization in the chains upon heating. It was also shown that the Grotthuss transport mechanism was reflected in the appearance of 2 distinct peaks in the frequency dependence of the conductivity. The heights of these maxima depended strongly upon the proton-phonon coupling strength.

Proton Hopping Conductivity in Quasi One-Dimensional Hydrogen-Bonded Chains. N.I.Pavlenko: Physica Status Solidi B, 2000, 218[1], 295-8