Skip to main content
SpringerLink
Log in

Validity of the bilinear rate equation for exciton annihilation and expressions for the annihilation constant

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The validity of the well-known bilinear rate equation, used for the interpretation of exciton annihilation observations in molecular crystals, is examined on the basis of a recently constructed exact theory of the annihilation process. Experimentally attainable situations, in which the traditional equation is not applicable, are pointed out and alternative equations are given for use in such cases. Explicit expressions for the annihilation constant γ are given for situations in which the usual rate equation is applicable.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Avakian, P., Merrifield, R.: Mol. Cryst.5, 37 (1968)

    Google Scholar 

  2. Geacintov, N.E., Swenberg, C.E.: In: Organic Molecular Photophysics. Birks, J.B. (ed.), Vol. 1. New York: Wiley 1973

    Google Scholar 

  3. Heisel, F., Miehe, J.A., Sipp, B., Schott, M.: Chem. Phys. Lett.56, 178 (1978)

    Google Scholar 

  4. Fujiwara, S., Nakayama, T., Itoh, N.: Phys. Status Solidi B78, 519 (1976)

    Google Scholar 

  5. Babenko, S.D., Benderskii, V.A., Goldanskii, V.I., Lavrushko, A.G., Tychinskii, V.P.: Phys. Status Solidi B45, 91 (1971)

    Google Scholar 

  6. Paillotin, G., Swenberg, C.E., Breton, J., Geacintov, N.E.: Biophys. J.25, 513 (1979)

    Google Scholar 

  7. Jortner, J., Choi, S.I., Katz, J.L., Rice, S.A.: Phys. Rev. Lett.11, 323 (1963)

    Google Scholar 

  8. Swenberg, C.E.: J. Chem. Phys.42, 309 (1965); Webber, S., Swenberg, C.E.: Chem. Phys.49, 231 (1980)

    Google Scholar 

  9. Suna, A.: Phys. Rev. B1, 1716 (1970)

    Google Scholar 

  10. Kenkre, V.M.: Phys. Rev. B22, 2089 (1980)

    Google Scholar 

  11. The quantity 2b in this paper equalsB in [10]. It is convenient to use the present notation: it leads to simpler forms for expressions used more frequently

  12. Maradudin, A., Montroll, E.W., Weiss, G.H., Herman, R., Milnes, H.W.: Green's Functions for Monatomic Simple Cubic Lattices, Academic Royale de Belgique, Tome XIV, No1709 (1960)

  13. Chandrasekhar, S.: Rev. Mod. Phys.15, 1 (1943)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, University of Rochester, River Campus Station, 14627, Rochester, New York, USA

    V. M. Kenkre

Authors
  1. V. M. Kenkre
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partially supported by the National Science Foundation under grant no. DMR 7919539

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kenkre, V.M. Validity of the bilinear rate equation for exciton annihilation and expressions for the annihilation constant. Z. Physik B - Condensed Matter 43, 221–227 (1981). https://doi.org/10.1007/BF01297521

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01297521

Keywords

Search

Navigation