Abstract
The rigid ion model is extended to ionic crystals with a Brownian sublattice. This sublattice is formed by particles which have the possibility to assume at least two positions along a direction overcoming a potential barrier. Such a Debye relaxation process is connected with a spontaneous dipole moment. Taking into account this additional dipole moment in the equation of motion for ionic crystals we get the corresponding equation for ionic crystals with a Brownian sublattice. In part II of this paper this complex system of equations, which depends on temperature, is solved for a simple model of a diatomic ionic crystal.
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