Lattice parameters of pure, doped and reduced ceria

2 Lattice parameters of pure, doped and reduced ceria 

This section deals with the relations between the lattice parameter, temperature, substituent cation radius, solubility limit of a substituent oxide, and x (degree of reduction). 

The lattice parameter at room temperature is 0.541134 nm. ° There is reasonable agreement in the results of the measured thermal expansion of pure stoichiometric CeOg up to 1000°C, and the conclusion is that the linear thermal expansion coefficient (TEC) for pure unreduced ceria is  

Doped or reduced ceria will have a different TEC depending on the ionic radius and charge (oxidation state) of the dopant cation. If the dopant has a larger radius and lower charge than Ce the TEC will be increased and vice versa. Examples are 20% Pr % TEC = 

The lattice parameter of a simple solid solution usually follows Vegard s rule (i.e. a linear lattice parameter dependence on the solute concentration) with good approximation, often for quite a few percent of foreign cations, depending on circumstances. Recently, deviations from Vegard s rule have been described in 

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Lattice Parameters of Pure, Doped and Reduced Ceria 15.3. Electrical Conductivity ... 

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