###### Abstract  
The BaTiO3 ceramics applications based on electronic properties have very high gradient scientific and industrial-technological interests. Our scientific research has been based on nano BaTiO3 modified with Yttrium based organometallic salt (MOD-Y). The samples have been consolidated at a sintering temperature of 1350 \({}^{\circ}\)C. Within the study, the new frontiers for different electronic properties between the layers of BaTiO3 grains have been introduced. The research target was grain boundary investigations and the influence on dielectric properties. After scanning electron microscopy and dielectric measurements, it has been established that modified BaTiO3 samples with larger grains showed a better compact state that led to a higher dielectric constant value. DC bias stability was also investigated and showed a connection between the grain size and capacitance stability. Analyses of functions that could approximate experimental curves were successfully employed. Practical application of fractal corrections was performed, based on surface (\(\alpha_{s}\)) and pore size (\(\alpha_{p}\)) corrections, which resulted in obtainment of the relation between the capacitance and Curie temperature. Successful introduction of fractal corrections for capacitance-Curie temperature dependence for a set of experimental data is an important step towards further miniaturization of intergranular capacitors. ceramics modification; morphology; dielectric properties; fractal corrections 2020 10 3485 10.3390/app10103485 10.  
structures constituents. Electronic properties of ceramics have put them on the top of the materials used for sensors, actuators, capacitors and other parts integrated in electronic devices [1; 2; 3; 4]. Ferroelectric perovskite ceramics have been intensively studies over the years, from a macro towards a nano-scale approach [5; 6; 7; 8]. Multilayer ceramic capacitors (MLCC) have enabled tailoring of the properties by the modification of ceramic layer and the interface between them, which further led to the production of high capacitance and stability capacitors [9]. Barium-titanate is one of the most widely used ceramic materials in electronic devices, due to its high dielectric constant and modification possibilities with different inorganic and organic agents [10; 11]. MLCCs are sintered in a reducing atmosphere, in order to prevent oxidation of metal. However, this leads to the reduction of BaTiO3 and consequently to the decrease in the overall dielectric constant and capacitance [12]. One approach to solving the problem is doping BaTiO3 with acceptors or donors, most commonly with rare-earth elements, such as Yttrium and their oxides [13; 14]. After the modification, grain boundary (GB) changes, inducing changes in dielectric and ferroelectric properties, occurred [15]. By investigating the phenomena at the GB, changes in dielectric properties could be understood and controlled by changing the processing parameters [16]. It is well known that the grain size increase leads to a dielectric constant value increase but also causes higher capacitance DC bias sensitivity, that is, capacitance value decreases with the increase of applied DC voltage [9]. Finding an adequate modifier for BaTiO3 that would reduce DC bias sensitivity dependence on the grain size is a real challenge, which could be easier with the use of proper theoretical models for the dielectric properties investigation at the GB, compared to the bulk sample. Dimensional and shape analysis could be achieved by using a fractal approach, giving insight into the influence on the bulk sample properties [17; 18; 19; 20]. Fractals are irregular geometric objects with fragmented or amorphous forms that cannot be described by Euclid's geometry [21]. The contribution of fractals correction could be observed and explained with the intergranular Heywang capacity model, Schottky barrier, Curie-Weiss law and other parameters in the field of dielectric and ferroelectric materials.