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通过一种新颖的模板方法创建的门格海绵状分形体。

Menger sponge-like fractal body created by a novel template method.

作者信息

Mayama H, Tsujii K

机构信息

Nanotechnology Research Center, Research Institute for Electronic Science, Hokkaido University, Sapporo 001-0021, Japan.

出版信息

J Chem Phys. 2006 Sep 28;125(12):124706. doi: 10.1063/1.2336200.

DOI:10.1063/1.2336200
PMID:17014199
Abstract

We have established experimental strategies on how to create a Menger sponge-like fractal body and how to control its fractal dimension. The essence was to utilize alkylketene dimer (AKD), which spontaneously forms super-water-repellent fractal surface. We prepared "fractal AKD particles" with fractal surface structure as templates of pores in fractal body. The fractal body was synthesized by filling the remained space between the packed template particles with a tetramethyl orthosilicate solution, solidifying it by the sol-gel process, and removing the template by calcinations. We have succeeded in systematically creating fractal bodies of silica with different cross-sectional fractal dimensions D(cs)=1.87, 1.84, and 1.80 using "fractal template particles" compressed under the ratio=1.0, 2.0, and 3.0, respectively. We also discussed the possibilities of their fractal geometries in comparison with mathematical models. We concluded that the created fractal bodies were close to a Menger sponge and its modified one. Our experimental strategy allows us to design fractality of porous materials.

摘要

我们已经建立了关于如何创建类门格尔海绵分形体以及如何控制其分形维数的实验策略。其核心是利用烷基烯酮二聚体(AKD),它能自发形成超疏水分形表面。我们制备了具有分形表面结构的“分形AKD颗粒”,作为分形体中孔隙的模板。通过用原硅酸四甲酯溶液填充堆积的模板颗粒之间的剩余空间,经溶胶 - 凝胶过程使其固化,并通过煅烧去除模板,从而合成分形体。我们成功地使用分别在1.0、2.0和3.0的比例下压缩的“分形模板颗粒”,系统地创建了具有不同横截面分形维数D(cs)=1.87、1.84和1.80的二氧化硅分形体。我们还与数学模型相比较,讨论了它们分形几何形状的可能性。我们得出结论,所创建的分形体接近门格尔海绵及其变体。我们的实验策略使我们能够设计多孔材料的分形性。

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