Protonic conduction model in glasses - A quadratic relation between conductivity and proton concentration

Proton conductivity in glasses has been known to be proportional to the square of the concentration of mobile protons of the glasses, but the mechanisms of this quadratic relation are not elucidated yet. A model for the quadratic relation between conductivity and proton concentration in glasses is presented from a view point regarding the proton conduction as a quasi-chemical reaction.