Fractal analysis and microwave properties of La (Mg ½ Ti ½) O3

Abstract

Fractal analysis was used to estimate the fractal dimensions and further define the structure of lanthanum magnesium titanium oxide. The microstructures and space groups of the materials were determined. This is relevant to the electrical properties at microwave frequencies, which are important for miniaturising electronic components. Fractal analysis or scanning mathematical algorithms of the microstructure were used for the first time in this study to determine the microstructure of the material, which demonstrates the novelty of this research. The shape, side, and angle calculations do not match those of the cubic structure. Based on the Bravais lattices in the cubic structure, the lattice parameters are equal, and all angles must be equal to 90°, whereas our results proved that the side parameters are not equal and at least one angle differs. The fractal regression analysis results showed that lanthanum magnesium titanate has a monoclinic structure with a P21/n space group.