98-26E

Microscopic model for the description of the proton subsystem dynamics in superionic crystals with hydrogen bonds is developed. Besides the including the proton transport mechanism, the effect of the nearest oxygens displacement at the hydrogen bond formation is accounted for. The latter fact is the reason for the strong proton-phonon coupling that leads to the polaronic effect. Using the occupation number formalism the virtual (in superionic phases) or ordered (in low-temperature phases) character of the hydrogen-bonded system is taken into account on the basis of the proton ordering model. The protonic conductivity studies are carried out in the frame of Kubo theory for the cases of superionic phases as well as at low-temperature phases with different types of proton ordering (as an example the M$_3$H(XO$_4$)$_2$ -class of crystals is considered). Temperature dependences of conductivity are analyzed. The activation energies for the static conductivity are determined; in this case the influence of internal field which appears as the result of the proton ordering is investigated.