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FUNDAMENTALS CH. 4 CONTROL OF NANOSTRUCTURE OF MATERIALS
like Menger sponge because they can confine electro-
magnetic waves at the specific frequency for a limited
5
6
time. If it is possible to increase Q value to 10 or 10 ,
the application will be expanded. When nano or
micrometer size photonic fractals can be fabricated,
applications to terahertz wave or optical devices
would be expected. It may be possible to draw a
dream to develop a photonic fractal battery to accu-
mulate electromagnetic waves or light when the loss-
less confinement will be achieved in future.
References
[1] K. Honda: Fractal, Asakura Publishing Ltd., Tokyo
(2002).
[2] M. Matsushita: Physics of Fractal, Shokabo Ltd.,
Tokyo (2002).
[3] W. Wen, Z. Yang, G. Xu, Y. Chen, L. Zhou, W. Ge,
C.T. Chan and P. Sheng: Appl. Phys. Lett., 83,
Figure 4.2.5 2106–2108 (2003).
90 scattering spectrum for a stage 4 Menger sponge. [4] D.P. Tsai, J. Kovacs, Z. Wang, M. Moskovits,
V.M. Shalaef, J.S. Suh and R. Botet: Phys. Rev. Lett.,
72, 4149–4154 (2004).
[5] M.W. Takeda, S. Kirihara, Y. Miyamoto, K. Sakoda and
K. Honda: Phys. Rev. Lett., 92, 093902-1-4 (2004).
[6] Y. Miyamoto, S. Kirihara, S. Kanehira, M.W. Takeda,
K. Honda and K. Sakoda: Int. J. Appl. Ceram.
Technol., 1, 40–48 (2004).
[7] Y. Miyamoto, S. Kirihara, M.W. Takeda, K. Honda
and K. Sakoda: Mater. Integration, 18, 40–45 (2005).
[8] S. Kirihara, Y. Miyamoto: Exp. Mech., 1, 210–211
(2001).
[9] Y. Miyamoto, S. Kirihara and M.W. Takeda: Chem.
Lett., 35, 342–347 (2006).
[10] K. Sakoda, S. Kirihara, Y. Miyamoto, M.W. Takeda
and K. Honda: Appl. Phys., B81, 321–324 (2005).
4.2.2 Nanoparticle patterning by nanobiotechnology:
Peptide
Shellfishes and corals synthesize calcium carbonate
from carbon dioxide in vivo, and mammals synthesize
calcium phosphate for bone and teeth from calcium
Figure 4.2.6 ion. Diatoms make exquisite silicate membranes on
Photo of a stage 3 Menger sponge with sintered alumina. their own surfaces [1], and magnetic bacteria let
magnetic particles form a line for the detection of earth
magnetism [2]. These syntheses in vivo are called
biomineralization, in which the crystal growth of
Figure 4.2.6 shows an alumina photonic fractal. It synthesized minerals is strictly controlled in nanoscale
was fabricated by dewaxing and successive sintering on the basis of gene information. Nanotechnology starts
of the fractal made of nanosized alumina particles dis- from the expression of unique function by decreasing
persed at 40 vol% in acrylic resin. Various the size of materials, and currently, it is expected to
applications in communication such as filter, cavity, express a novel function by the assembly of functional
attenuator, antenna are expected for such cube fractals nanocrystals. Nanocluster assembly is observed in
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