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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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