• DocumentCode
    1389511
  • Title

    An approximate calculation of the permittivity of aerogels as fractal-like objects

  • Author

    Ferreira, G.F.Leal

  • Author_Institution
    Inst. de Fisica e Quimica de Sao Carlos, Sao Paulo Univ., Brazil
  • Volume
    26
  • Issue
    1
  • fYear
    1991
  • fDate
    2/1/1991 12:00:00 AM
  • Firstpage
    53
  • Lastpage
    56
  • Abstract
    An approximate calculation of the permittivity of a physical fractal (like aerogel of silica, which has a porosity of up to 99%) is performed, based on a self-similar model suggested by the Sierpinski gasket construction. It is shown that in some cases the polarizability of the units forming the homogeneous macrostructure tends to have a mathematical fractal behavior. The Sierpinski gasket and the first and succeeding stages of the model are described
  • Keywords
    fractals; permittivity; porous materials; silicon compounds; Sierpinski gasket construction; aerogel of silica; approximate calculation; fractal-like objects; homogeneous macrostructure; low density SiO2; mathematical fractal behavior; model; permittivity of aerogels; physical fractal; polarizability; porosity; self-similar model; succeeding stages; Displays; Ear; Equations; Fractals; Gaskets; Microstructure; Optical polarization; Permittivity; Silicon compounds; Solid modeling;
  • fLanguage
    English
  • Journal_Title
    Electrical Insulation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9367
  • Type

    jour

  • DOI
    10.1109/14.68227
  • Filename
    68227