Skip to main content
SpringerLink
Log in

Theoretical investigation of exciplex generation under X-ray irradiation of non-polar solutions

  • Original Paper
  • Published:
Journal of Mathematical Chemistry Aims and scope Submit manuscript

Abstract

Theoretical investigation of exciplex generation under X-ray irradiation of the reacting system of non-polar solutions is consistently performed. The scheme of multistage reaction of ion-radical pairs generated under X-ray irradiation is improved as compared to that proposed in the literature previously. The possibility of excited state of electron donor formation, as well as additional channel of exciplex generation is taken into account. Formulation of the modified multistage process of exciplex generation in the framework of the theoretical approach of “effective particles” allows consistent derivation of the kinetic equations for the mean concentrations of reactants and on their basis calculation of the quantum yield of luminescence. Computations predict the change of exciplex generation efficiency under X-ray irradiation in comparison with the reaction under optical excitation. General properties of inhomogeneous sources of the obtained kinetic equations are established. A special case of the absence of excited donor generation is considered in detail, as well as the dependence of the studied values on the concentration of the electronic donor with some model simplifications.

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

Fig. 1

Similar content being viewed by others

References

  1. H. Leonhardt, A. Weller, Ber. Bunsenges. Phys. Chem. 67, 791 (1963)

    Article  CAS  Google Scholar 

  2. N. Mataga, H. Miyasaka, Electron transfer and exciplex chemistry, in Advances in Chemical Physics: Electron Transfer: From Isolated Molecules to Biomolecules (Part 2), vol. 107, ed. by J. Jortner, M. Bixon (Wiley, New York, 1999), pp. 431–496

    Google Scholar 

  3. H. Beens, H. Knibbe, A. Weller, J. Chem. Phys. 47, 1183 (1967)

    Article  CAS  Google Scholar 

  4. M.G. Kuzmin, L.N. Guseva, Chem. Phys. Lett. 3, 71 (1969)

    Article  CAS  Google Scholar 

  5. A. Mozumder, Charged particle tracks and their structure, in Advances in Radiation Chemistry, ed. by M. Burton, J.L. Magee (Wiley, New York, 1969), pp. 1–102

    Google Scholar 

  6. I.A. Shkrob, M.C. Sauer Jr., A.D. Trifunac, Radiation chemistry of organic liquids: Saturated hydrocarbons, in Studies in Physical and Theoretical Chemistry, vol. 87, ed. by C.D. Jonah, B.S. MadhavaRao (Elsevier, Amsterdam, 2001), pp. 175–221

    Google Scholar 

  7. A.R. Melnikov, E.V. Kalneus, V.V. Korolev, I.G. Dranov, D.V. Stass, Dokl. Phys. Chem. 452, 257 (2013)

    Article  CAS  Google Scholar 

  8. A.R. Melnikov, E.V. Kalneus, V.V. Korolev, I.G. Dranov, A.I. Kruppa, D.V. Stass, Photochem. Photobiol. Sci. 13, 1169 (2014)

    Article  CAS  Google Scholar 

  9. A.A. Kipriyanov, A.R. Melnikov, D.V. Stass, A.B. Doktorov, J. Chem. Phys. 147, 094102 (2017)

    Article  CAS  Google Scholar 

  10. V.M. Agranovich, M.D. Galanin, Electron Excitation Energy Transfer in Condensed Matter (North-Holland, Amsterdam, 1982)

    Google Scholar 

  11. H.M. Hoang, T.B.V. Pham, G. Grampp, D.R. Kattnig, J. Phys. Chem. Lett. 5, 3188 (2014)

    Article  CAS  Google Scholar 

  12. S.V. Feskov, A.I. Burshtein, A.I. Ivanov, J. Phys. Chem. C 118, 2136 (2014)

    Article  Google Scholar 

  13. T.R. Waite, J. Chem. Phys. 28, 103 (1958)

    Article  CAS  Google Scholar 

  14. M. von Smoluchowski, Z. Phys, Chem. 92, 129 (1917)

    Google Scholar 

  15. F.C. Collins, G.E. Kimball, J. Colloid Interface Sci. 4, 425 (1949)

    Article  CAS  Google Scholar 

  16. A.B. Doktorov, Development of the kinetic theory of physicochemical processes induced by binary encounter of reactants in solutions, in Recent Research Development in Chemical Physics, vol. 6, ed. by S.G. Pandalai (Transworld Research Network, Kerala, 2012), pp. 135–192

    Google Scholar 

  17. M. Yokota, O. Tonimoto, J. Phys. Soc. Jpn. 22, 779 (1967)

    Article  CAS  Google Scholar 

  18. I.Z. Steinberg, E. Katchalski, J. Chem. Phys. 48, 2404 (1968)

    Article  CAS  Google Scholar 

  19. K.L. Ivanov, N.N. Lukzen, A.B. Doktorov, J. Chem. Phys. 145, 064104–064111 (2016). https://doi.org/10.1063/1.4960174

    Article  CAS  Google Scholar 

  20. L. Monchick, J. Chem. Phys. 24, 381 (1956)

    Article  CAS  Google Scholar 

  21. A.B. Doktorov, A.A. Kipriyanov, J. Chem. Phys. 140, 184104 (2014)

    Article  Google Scholar 

  22. A.A. Kipriyanov, A.B. Doktorov, Phys. A 230, 75–117 (1996)

    Article  CAS  Google Scholar 

  23. A.A. Zharikov, N.V. Shokhirev, Chem. Phys. Lett. 186, 253 (1991)

    Article  CAS  Google Scholar 

Download references

Acknowledgements

The authors are grateful to the Federal Agency of Scientific Organizations (Projects No. 44.1.5 and No. 44.1.12), to the Russian Foundation of Basic Research (Project No. 18-03-00578) for financial support and to D.V. Stass for helpful discussions.

Author information

Authors and Affiliations

  1. V.V. Voevodsky Institute of Chemical Kinetics and Combustion SB RAS, Novosibirsk, Russia

    Alexander B. Doktorov & Alexander A. Kipriyanov

Authors
  1. Alexander B. Doktorov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Alexander A. Kipriyanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Alexander A. Kipriyanov.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Doktorov, A.B., Kipriyanov, A.A. Theoretical investigation of exciplex generation under X-ray irradiation of non-polar solutions. J Math Chem 58, 516–542 (2020). https://doi.org/10.1007/s10910-020-01100-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10910-020-01100-x

Keywords

Search

Navigation