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This paper discusses the approach to formulate mathematical model (MM) for synthesis of any ceramic and to decide reliability of density measurement. In the research of basic science, the majority of operations are still executed manually which needs to be focused and develop a mathematical relation which simulate the real input and output data directly. The advantages and limitations of the developed mathematical models are identified and the models are classified in terms of range of application and goals. In this study, a generalized experimental data based model developed to simulate the contemporary techniques for the purpose of study, compression, inducing generalized approach for the mathematical model of ceramic synthesis. The findings indicate that the topic understudy is of great importance, as no such approach of experimental data based mathematical simulation is adopted for the formulation of synthesis of ceramics so far. Thus the results of this experimental research would be useful to industry for manufacturing of multilayer capacitors. [ABSTRACT FROM AUTHOR]

0.6PMN-0.4PZN solid solution ceramic was synthesized employing two stage columbite route using sintering temperature range 1000–1170 °C for calcination temperature 800 °C and 850 °C, respectively. XRD and SEM characterization revealed single perovskite phase formation in ceramic between 1050 °C to 1100 °C. The highest density upto 94% was achieved for the composition under study. The excellent dielectric properties were obtained at lower sintering temperature 1000–1100 °C. Ceramics sintered between 1000 °C–1100 °C exhibit εmax≈14000 and 24000 at 1 kHz with Tc = 51–48 °C which is near room temperature. A good correlation was obtained between dielectric properties with structure, microstructure and density. The TCC values within the limit of Z5U capacitor specification reflect ceramics of composition 0.6PMN-0.4PZN is a potential candidate for MLC. [ABSTRACT FROM AUTHOR]