R. Tetot et G. Boureau, DEFECT INTERACTIONS, STATISTICAL THERMODYNAMIC AND ELECTRONIC TRANSPORT IN IONIC NONSTOICHIOMETRIC OXIDES, Radiation effects and defects in solids, 137(1-4), 1995, pp. 1465-1472
In this paper, we discuss the effects of the defect interactions on th
e thermodynamic properties and electronic transport of nonstoichiometr
ic oxides. We first show that two limited thermodynamic behaviours can
be distinguished depending on whether the oxide has a metallic type e
lectronic conduction or a hopping electronic conduction. In the first
case, the interactions are expected to be short ranged because of the
screening of the conduction electrons, while they are Coulombic in the
second case. This paper is limited to this last case, exemplified mai
nly by M(1-x)O (M = Co, Mn,..) cubic oxides. Next, we analyse the two
approximated methods usually used in this held, the ideal mass action
law method and the Debye Huckel theory, and we show that they are both
insufficient to accurately describe these compounds. We finally show
by means of Monte Carlo simulations that a simple model in which point
defects interact through a unique dielectric constant allows us to re
nder an account of the main features of the thermodynamic and electron
ic transport properties of these oxides.