Multirange fractal analysis of structure of InCu melt

Abstract

Multirange fractal analysis based on results of high temperature X-ray diffraction experiment is used to study the geometric structure characteristics and temporal-spatial properties of clusters of InCu melt.The results show that partially-overlapping multirange fractal structure is observed in In,In-1wt.%Cu and In-20wt.%Cu melt and low-dimensional fractal dimensions of In and In-1wt.%Cu melt increase as temperature increases,while that of In-20wt.%Cu melt irregularly changes.Fractal dimension can be considered as a structure sensitive parameter to indicate the change of liquid structure.The structure of In-57wt.%Cu melt shows fractal characteristics,but there is no multirange characteristics.The fractal characteristics of metal melt are correlated with the evolution of microstructure according to experimental results.Multirange fractal model is proposed to calculate the number of atoms in transition region of multirange fractals of In,In-1wt.%Cu and In-20wt.%Cu melt.The results show that the values of simulation are in good agreement with experimental values,and the maximum error of lnN-lnr is less than 1.22%.From the analysis,the range of multirange fractals is corresponding to the melt structure and the range of the transition region between two fractal regions is speculated to be related with structure properties of metal melts.Ultrafine particles' aggregation mechanism is used to analyze the fractal morphologies of metal melt.