2005
DOI: 10.7498/aps.54.3290
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Multifractal spectra of growing clusters in nanoscale characterized by small angle x-ray scattering

Abstract: 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. g rowing in both ultrafine Ni powders synthesized by chemical reaction and Finemet (Fe73.5Cu1Nb3Si13.5B9) a morphous ribbon by physical crystal lization annealing. The SAXS measurement discloses definitely the existence of d istinct mass multifractal patterns within ultrafine Ni granules and crystallizin g Finemet ribbon. The multifractal spectra of the … Show more

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“…SAXS data can be employed to analyze the multi-scale fractal characteristics. [16] The relation of ln(𝐼(𝑞)) with ln(𝑞) for 100HN and 100CR (see Fig. 3) clearly shows that mass fractal and surface fractal coexist in the two specimens.…”
mentioning
confidence: 88%
“…SAXS data can be employed to analyze the multi-scale fractal characteristics. [16] The relation of ln(𝐼(𝑞)) with ln(𝑞) for 100HN and 100CR (see Fig. 3) clearly shows that mass fractal and surface fractal coexist in the two specimens.…”
mentioning
confidence: 88%
“…Monofractal is homogeneous in the sense that it has the same scaling property, characterized by a single singularity exponent.Therefore,it is insufficient to analyze and evaluate the complicate fractal structure with simple monofractal dimension [3,4] . Multifractal can be decomposed into infinite many subsets characterized by different scaling exponents. Multifractal is intrinsically more complex and inhomogeneous than monofractal.By using multifractal theory , one can get more detailed information than using monofractal . Multifractal shows wider variety of scaling behaviors compared to simple monofractal.It supplies a new effective science method and cognition means for analyzing some complicate and nonlinear problems . It has extensive and profound practical application prospects [5,6] .…”
Section: Introductionmentioning
confidence: 99%