Ferroelectric and capacitance properties calculation of BaTiO₃using modified non-ideal ferroelectric capacitor model

A semiempirical study has been conducted by comparing the Non-Ideal Ferroelectric Capacitor Model, which was developed by Miller et al. and experimental Electrical Polarization of Barium Titanate doped by zirconium and lanthanum (BLZT) curve. The calculation was performed on Pascal based program in Delphi 7. For fitting the model with experimental data, some variables have been used to optimize the curve, such as Spontaneous Polarization, Electrical current amplitude, Coercive Electric Filed, and Remanent polarization and scale factor. A statistical method in the form of R-Weighted Pattern (Rwp) was used to measure the good of fitness with experimental data. The model results show that spontaneous polarization, remanent polarization and coercive electric field of Barium Titanate doped by Zirconium and Lantahun 1% are 3,5 x 10-5 C/cm2, 1,3 x 10-5 C/cm2 and 0,6 V/cm while R-weighted Pattern (Rwp) is 7,8%. A C-V curved of Barium Zirconium Titanate was calculated to predict the capacitance properties of Barium Titanate doped by zirconium. The maximum capacitance value from the model is 1,38 nF.