Fractal approach to BaTiO3-ceramics micro-impedances

摘要: Abstract A new approach, based on fractal geometry and correlation between microstructure–nanostructure rare-earth properties other additives doped BaTiO 3 -ceramics electronics properties, is applied. The grain contacts different stereological models especially intergranular contact surface morphology was the subject of several papers these authors. main conclusion that capacities have higher values then expected which induced by surfaces sizes augmentation as a consequence their nature. Bigger micro-capacities were justified virtually having bigger dielectric constants achieved introducing correction factor α 0 >1, multiplier to usual constant e r gain value . In further micro-electronics theory development, methods used describe complexity spatial distribution -grains, well pores. This led revisited model, considers existence fractality, pores fractality inner liquid dynamics solid state sintering phase within ceramics material represented Brownian motion model. function three “sources”. Here, relationship established for using Curie–Weiss law temperature an omnipresent parameter. Also, model two grains impedance studied frequency values. Ву control shapes numbers entire -ceramic sample level, over structural can be achieved, with aim electronic corresponding microstructure. nature analysis structure provides approach modeling prognosis shape relations structure, micro- nano-, all in light frontier level circuits integration.