98-30U

Microscopic model with taking into account the two-stage mechanism of the proton transport is proposed for the description of the proton subsystem dynamics in superionic crystals with hydrogen bonds. The influence of the oxygens subsystem dynamics which leads to the strong polaronic effect as well as the virtual (in superionic phases) or ordered (in low-temperature phases) character of the hydrogen-bonded system is studied. The protonic conductivity is evaluated in the frame of linear response theory (as an example the M$_3$H(XO$_4$)$_2$ -class of crystals is considered). Temperature and frequency dependences of conductivity are analyzed.