
Multifractal analysis of geometric parameters of nanoforms formed on the surface of ultrathin layers of ZnO and ZnO–CdO synthesized by the sol-gel method
Author(s) -
P. P. Moskvin,
W. Sadowski,
V. Kryzhanivskyy,
Галина Віталіївна Скиба,
L.G. Polonsky
Publication year - 2020
Publication title -
voprosy himii i himičeskoj tehnologii/voprosy himii i himičeskoj tehnologii
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.278
H-Index - 7
eISSN - 2413-7987
pISSN - 0321-4095
DOI - 10.32434/0321-4095-2020-133-6-115-123
Subject(s) - materials science , annealing (glass) , multifractal system , scanning electron microscope , fractal , surface (topology) , sol gel , fractal dimension , nanotechnology , composite material , geometry , mathematics , mathematical analysis
Superthin layers in ZnO and ZnO–CdO systems, which are intended for the use as transparent electrodes of modern optoelectronic devices, were synthesized by modified sol-gel method. The ranges of parameters of the technological process were established to obtain high-quality layers of material on glass substrates. Surface morphology depending on the synthesis conditions was studied by scanning electron microscopy. SEM images of the surface served as a basis for the multifractal analysis of the surface areas and volumes of nanoforms that are formed on the surface of the obtained layers. The dependences of the multifractal parameters of the surface nanoforms characterizing the surface state were determined as a function of the temperature of the final annealing of the layers. The relationships between Rainier numbers and fractal ordering parameters describing the surface geometry of the layers with the temperatures of the final annealing were established. The numerical values of the fractal characteristics of the obtained surface were used to estimate the influence of the fractal surface geometry on the value of the molar surface energy of the layers.