1：Experimental Design and Method Selection:

The Landau-Khalatnikov (LK) model was modified by adding factors such as scale factor, amplitude, and frequency for predicting polarization properties of ZnO. The differential partial equation of LK model was solved using Runge Kutta Orde 4 on Delphi

2：Sample Selection and Data Sources:

Powder ZnO materials were prepared by sol-gel method. The ZnO solutions were prepared by mixing zinc acetate dehydrates in double distilled water and 2-propanol with a volume ratio 1:

3：List of Experimental Equipment and Materials:

Zinc acetate dehydrates were procured from Aldrich company. Hysteresis of Polarization (P-E) was measured by using Sawyer – Tower circuit.

4：Experimental Procedures and Operational Workflow:

The aqueous solution was kept in a magnetic stirrer while heating at 70oC until become gel. Then the gel was heating at 600 °C for 2 hours to become powder. The powder were compacted with pressure 5 kPa and in cylinder form with diameter 1 cm and thickness 0.3 mm.

5：3 mm. Data Analysis Methods:

5. Data Analysis Methods: The modified theory were compare to experimental data. By adopting Rietvield analysis on General Structure Analysis System (GSAS), R-Weigthed Pattern (Rwp) was calculated to evaluate the precision of the model compare to experimental data.