ELECTROTRANSPORT IN IONIC-CRYSTALS .1. APPLICATION OF LIQUID ELECTROLYTE THEORY

Transport of matter and charge in ionic crystals is only possible by the existence of irregular structure elements (defects) which are often charged relative to the crystal lattice. A comparison between the transport behaviour of a crystalline matrix containing such charged defects and a liquid electrolyte containing dissolved ions shows a lot of similarities. As is well known the transport properties of liquid electrolytes are strongly affected by interactions between the dissolved ions. We have applied the well elaborated concept of mixed electrolytes by Onsager and Fuoss which was originally devoted to liquid electrolytes to ionic crystals containing charged point defects. The equations of Onsager and Fuoss allow in principle the calculation of the concentration dependence of the phenomenological transport coefficients L(ij) of all charge carriers of n-component electrolytes. We will use these equations to predict the transport behaviour of ionic crystals containing differently charged point defects. As examples we have calculated transport coefficients for electrolyte systems which can be regarded as models for the transition metal oxides Co1-deltaO and Cu2-deltaO. One major result concerns the magnitude of the cross effect between the ionic and electronic fluxes in those materials. The implications of these results with respect to experimental observations are discussed.