Multifractal spectra of growing clusters in nanoscale characterized by small angle x-ray scattering

Small angle x-ray scattering (SAXS) method was adopted to investigate the characteristics of growth fractal of two sorts of typical nanoscaled clusters, i.e. growing in both ultrafine Ni powders synthesized by chemical reaction and Finemet (Fe73.5 Cu1Nb3Si13.5B9) amorphous ribbon by physical crystallization annealing. The SAXS measurement discloses definitely the existence of distinct mass multifractal patterns within ultrafine Ni granules and crystallizing Finemet ribbon. The multifractal spectra of the clusters mentioned above suggest the occurrence of inhomogeneous distribution of constituent elements and growth fractal during the formation of those nanoscale clusters. The multifractal spectra of ultrafine Ni powders prepared using a variety of procedures take on an obvious difference in shape, indicating the substantial influence of preparation process on diffusion of constituent elements and the growth mechanism of clusters. The crystallization annealing processes, however, affect the multifractal spectra of Finemet alloy slightly.