Morphology of molybdena fractal clusters grown by vapour-phase deposition

Zhang, Ji Zhong; Liu, Delu

doi:10.1007/bf00541561

Cited by 5 publications

(2 citation statements)

References 11 publications

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“…Therefore, the different morphologies of coral-like micro/nano-SiO 2 with fractal are obtained. By TEM observation of fractal growth of coral-shaped amorphous materials [13], the growth models of their morphology correspond to the fractal growth models of diffusion-limited aggregation [14]. Fractal characteristics change the dynamic characteristics of molecular diffusion, and the diffusion process is anomalous diffusion [15].…”

Section: Resultsmentioning

confidence: 99%

Synthesis and Characterization of Coral-Like Micronano-SiO<sub>2</sub>

Ding

Yang

Tang

2011

AMR

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Coral-like micro/nano-SiO2 with porous coral-like and coral-like reefs ( consisting of soft coral-like, hard coral-like and branch coral-like) morphologies were synthesized by using the hydrothermal method without any metallic catalysts. The morphologies of coral-like micro/nano-SiO2 are dependent on process parameters so that coral-like micro/nano-SiO2 formed in different process parameters has different morphologies. These morphologies have fractal feature. The possible growth mechanisms are discussed.

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Section: Resultsmentioning

confidence: 99%

Synthesis and Characterization of Coral-Like Micronano-SiO<sub>2</sub>

Ding

Yang

Tang

2011

AMR

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“…Such systems include liquid crystals [6], slip lines in stressed metals and rocks, line-fractures in catalysts [7][8][9], fibers in paper sheets [10,11], and rod-like metal particles [12,13]. Unlike systems composed of nearly isotropic particles, for rod-like particles the orientational distribution plays an important role in addition to the positional distribution [14].…”

Section: Introductionmentioning

confidence: 99%

Limited range fractality of randomly adsorbed rods

Lidar¹,

Biham²,

Avnir³

1997

The Journal of Chemical Physics

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Multiple resolution analysis of two dimensional structures composed of randomly adsorbed penetrable rods, for densities below the percolation threshold, has been carried out using box-counting functions. It is found that at relevant resolutions, for box-sizes, r, between cutoffs given by the average rod length ℓ and the average inter-rod distance r1, these systems exhibit apparent fractal behavior. It is shown that unlike the case of randomly distributed isotropic objects, the upper cutoff r1 is not only a function of the coverage but also depends on the excluded volume, averaged over the orientational distribution. Moreover, the apparent fractal dimension also depends on the orientational distributions of the rods and decreases as it becomes more anisotropic. For box sizes smaller than ℓ the box counting function is determined by the internal structure of the rods, whether simple or itself fractal. Two examples are considered -one of regular rods of one dimensional structure and rods which are trimmed into a Cantor set structure which are fractals themselves. The models examined are relevant to adsorption of linear molecules and fibers, liquid crystals, stress induced fractures and edge imperfections in metal catalysts. We thus obtain a distinction between two ranges of length scales: r < ℓ where the internal structure of the adsorbed objects is probed, and ℓ < r < r1 where their distribution is probed, both of which may exhibit fractal behavior. This distinction is relevant to the large class of systems which exhibit aggregation of a finite density of fractal-like clusters, which includes surface growth in molecular beam epitaxy and diffusion-limited-cluster-cluster-aggregation models.

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