Skip to main content
SpringerLink
Log in

A topological stochastic approach to the study of multidimensional potential energy surfaces of chemical reactions

  • Original Investigations
  • Published:
Theoretica chimica acta Aims and scope Submit manuscript

Abstract

In this article we propose a new approach for investigating the properties of multidimensional potential energy surfaces in chemical reactions, based on relations of each multidimensional surface to its one-dimensional image which is the chemical reaction tree. This approach makes it possible to find a common number of independent channels in chemical reactions for complex systems and to construct the probable models.

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. Glasstone, S., Laidler, K. L., Eyring, H.: The theory of rate processes. New York-London: 1941 (Russian translation: II: Inostrannaya Literatura Publishers, Moscow 1948)

  2. Krivoshey, I. V.: Zh. Struktur. Chim. 10, 316 (1969)

    Google Scholar 

  3. Kronrod, A. S.: Uspekhi Matem. Nauk 5, 24 (1950)

    Google Scholar 

  4. Berge, C.: Théorie des graphes et ses applications. Dunod Paris: 1958

  5. Krivoshey, I. V.: Zh. Structur. Chim., to be published

  6. Rein, R., Harris, F.: J. Chem. Phys. 43, 4415 (1965)

    Google Scholar 

  7. Krivoshey, I. V., Sleta, L. A.: Zh. Struktur. Chim. 12, 388 (1971)

    Google Scholar 

  8. Feller, W.: Introduction to probability theory and its applications, Vol. 1, 2nd Ed. New York: Wiley 1957 (Russian translation: “Mir” Publishers, Moscow 1967); Bharucha-Reid, A. T.: Elements of the theory of Markov processes and their applications. New York: McGraw-Hill 1960 (Russian translation: “Nauka” Publishing Co., Moscow 1969)

    Google Scholar 

  9. Benson, S. W.: The foundations of chemical kinetics. New York: McGraw-Hill 1960 (Russian translation: “Mir” Publishers, Moscow 1964)

    Google Scholar 

  10. McQuarrie, D. A.: J. Appl. Prob. 4, 413 (1967), Advan. Chem. Phys. 15, 149 (1967), Stochastic approach to chemical kinetics. London: 1967

    Google Scholar 

  11. Krivoshey, I. V., Sleta, L. A.: Zh. Struktur. Chim. 12, 509 (1971)

    Google Scholar 

  12. Krivoshey, I. V., Sleta, L. A.: Zh. Struktur. Chim. 13, 507 (1972)

    Google Scholar 

  13. Sleta, L. A.: Zh. Struktur. Chim. 14, 761 (1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. The A. M. Gorki State University of Kharkov, Kharkov 77, USSR

    Igor V. Krivoshey & Liudmila A. Sleta

Authors
  1. Igor V. Krivoshey
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Liudmila A. Sleta
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krivoshey, I.V., Sleta, L.A. A topological stochastic approach to the study of multidimensional potential energy surfaces of chemical reactions. Theoret. Chim. Acta 43, 165–174 (1976). https://doi.org/10.1007/BF00547256

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00547256

Key words

Search

Navigation