We have undoped, 1,2 ,3,4 and 5% Mg doped Ceria nanostructures. in its dielectric results (using LCR meter), the AC conductivity is nearly constant at low frequencies and then increases above a certain characteristic point with increase in frequency.
The AC measurements were carried out using LCR meter at room temperature in the frequency range of 0 kHz to 5MHz. The dielectric constant (ε’) was calculated from the equation.
ε' = (t×Cp) / (A×εo)
Where t is thickness of the pellets, Cp is the equivalent parallel capacitance obtained experimentally, A is the area of the pellets and εo is permittivity of vacuum. The dielectric loss (ε”) was calculated from the multiplication of ε_ with the dissipation factor D obtained experimentally. Finally, the AC conductivity was calculated from the equation
σac = 2πfεoε_tanδ, where tanδ = ε”/ ε’
How does AC conductivity of CeO2 nanostructures increase with increasing Mg doping concentration levels. Can anybody please answer with references?