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Title:MENGER SPONGE-LIKE FRACTAL BODY CREATED WITH A DESIGNED TEMPLATE METHOD
Source:TOPOLOGICAL ASPECTS OF CRITICAL SYSTEMS AND NETWORKS (pp 195-201)
Author(s):H. MAYAMA
Nanotechnology Research Center, Research Institute for Electronic Science, Hokkaido University, Sapporo 001-0021, Japan

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

CREST, JST, Japan

Abstract:Fractal body, a porous silica with cross-sectional fractal dimension Dcs = 1.87 was created by a sol-gel reaction of tetramethyl orthosilicate (TMOS) using unique template particles. Dcs was maintained over ca. three decades in pore size from 0.05 - 30 μm and its density ρ = 0.35 g·cm-3. Based on the obtained Dcs, pore size distribution and ρ, it was concluded that its fractal geometry was closer to Menger sponge (fractal dimension D = 2.73) at the 7th generation, a mathematical model of fractal body. Our experimental strategy would allow us to design fractality of porous materials in real space.
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