Advertisement

Complex Dielectric Permittivity of Metal-Containing Nanocomposites: Non-phenomenological Description

Conference paper
Part of the NATO Science for Peace and Security Series B: Physics and Biophysics book series (NAPSB)

Abstract

Addition of metal nanoparticles radically alters the complex dielectric permittivity of a matrix-insulator. A non-phenomenological theory describing these changes is developed by assuming that a large concentration of electron traps with the critical binding energy in the amorphous matrix exists. Such traps in the vicinity of the nanoparticles can be partially occupied by the electrons. The trapped electron with its neighbor nanoparticle then represents an appreciable dipole moment. Reorientations of this moment in the external electric field occurs due to electron jumps between the traps over a sphere surrounding a nanoparticle. The calculation of the interaction of the dipole moment with an external field is carried out taking into account the dielectric permittivity of the matrix. By deriving and solving the equation for the dipole relaxation function, the real and imaginary parts of the permittivity may be evaluated. The calculated dependences of the dielectric permittivity on frequency and temperature agree qualitatively with experiment.

Keywords

Dipole Moment Partition Function Dielectric Permittivity Relaxation Function Charged Trap 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

We thank Prof. Yu. Feldman and Drs. V.L. Bodneva and A. Greenbaum (Gutina) for many helpful discussions and support in the work.

References

  1. 1.
    Cook M, Watts DC, Williams G (1970) Correlation function approach to the dielectric behaviour of amorphous polymers. Trans Faraday Soc 66:2503–2511CrossRefGoogle Scholar
  2. 2.
    Cole KS, Cole RH (1941) Dispersion and absorption in dielectrics 1. Alternating current characteristics. J Chem Phys 9:341–351CrossRefADSGoogle Scholar
  3. 3.
    Davidson DW, Cole RH (1951) Dielectric relaxation in Glycerol, Propylene Glycol, and n-Propanol. J Chem Phys 19:1484–1490CrossRefADSGoogle Scholar
  4. 4.
    Debye P (1929) Polar molecules. Dovar Publications, New YorkzbMATHGoogle Scholar
  5. 5.
    Havriliak S, Negami S (1966) A complex plane analysis of alpha-dispersions in some polymer systems. J Polym Sci 14:99–116, Part CGoogle Scholar
  6. 6.
    Feldman Yu, Puzenko A, Ya Ryabov (2006) Dielectric relaxation phenomena in complex materials. In: Kalmykov YP, Coffey WT, Rice SR (eds) Special volume of advances in chemical physics, vol 133, part A. Wiley, Hoboken, pp 1–125Google Scholar
  7. 7.
    Fröhlich H (1958) Theory of dielectrics, 2nd edn. Clarendon, OxfordzbMATHGoogle Scholar
  8. 8.
    Goldanskii VI, Trakhtenberg LI, Fleurov VN (1989) Tunneling phenomena in chemical physics. Gordon and Breach Science Publications, New YorkGoogle Scholar
  9. 9.
    Grigoriev EI, Trakhtenberg LI (1996) Radiation chemical processes in the solid phase. CRC Press, New York, London, TokyoGoogle Scholar
  10. 10.
    Gutina A, Antropova T, Rysiakiewicz-Pasek E, Virnik K, Feldman Yu (2003) Dielectric relaxation in porous glasses. Microporous Mesoporous Mater 58:237–254CrossRefGoogle Scholar
  11. 11.
    Landau LD, Lifshitz EM (1980) Statistical physics, vol 5, 3rd edn. Butterworth-Heinemann, OxfordGoogle Scholar
  12. 12.
    Landau LD, Lifshitz EM, Pitaevskii LP (1984) Electrodynamics of continuous media, vol 8, 2nd edn. Butterworth-Heinemann, OxfordGoogle Scholar
  13. 13.
    Macalik B, Suszynska M, Rysiakiewicz-Pasek E et al (2005) Spectroscopic and dielectric characteristics of nickel-doped porous silica glasses. Opt Appl 35:761–767Google Scholar
  14. 14.
    McCrum NG, Read BE, Williams G (1991) Inelastic and dielectric effects in polymeric solids. Dower, New YorkGoogle Scholar
  15. 15.
    Morse PM, Feshbach H (1953) Methods of theoretical physics, part 1. McGrow-Hill, New YorkGoogle Scholar
  16. 16.
    Mott NF, Davis EA (1971) Electronic processes in non-crystalline materials. Clarendon, OxfordGoogle Scholar
  17. 17.
    Nagaev EL (1992) Small metallic particles. Adv Phys 162:49–124Google Scholar
  18. 18.
    Nicolais L, Carotenuto G (eds) (2005) Metal/polymer nanocomposites. John Wiley & Sons, New YorkGoogle Scholar
  19. 19.
    Pitaevskii LP, Lifshitz EM (1981) Physical kinetics, vol 10. Pergamon Press, OxfordGoogle Scholar
  20. 20.
    Pomogailo AD, Rozenberg AS, Uflyand IYe (2000) Nanoparticles of metals in polymers. Chemistry, MoscowGoogle Scholar
  21. 21.
    Trakhtenberg LI, Axelrod E, Gerasimov GN, Nikolaeva EV, Smirnova EI (2002) New nano-composite metal-polymer materials: dielectric behaviour. J Non-Cryst Solids 305:190–196CrossRefADSGoogle Scholar
  22. 22.
    Trakhtenberg LI, Lin SH, Ilegbusi OJ (eds) (2007) Physico-chemical phenomena in thin films and at solid surfaces. Elsevier Inc., AmsterdamGoogle Scholar
  23. 23.
    Trakhtenberg LI, Kozhushner MA, Gerasimov GN, Gromov VF, Bodneva VL, Antropova TA, Axelrod E, Greenbaum (Gutina) A, Feldman Yu (2010) Non-phenomenological description of complex dielectric permittivity of metal-containing porous glasses. J Non-Cryst Solids 356:642–646CrossRefADSGoogle Scholar
  24. 24.
    Williams G (1997) Theory of dielectric properties. In: Punt JP, Fitzgerald JJ (eds) Dielectric spectroscopy of polymeric materials. American Chemical Society, Washington, DC, pp 3–65Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Semenov Institute of Chemical Physics, Russian Academy of SciencesMoscowRussia

Personalised recommendations