Skip to main content
Log in

On how some fundamental chemical concepts are correlated by arithmetic, geometric and harmonic means

  • Published:
Foundations of Chemistry Aims and scope Submit manuscript

Abstract

Examples are given of applications by Pauling, Mulliken, Marcus and G.E.Kimball of the three Pythagorian means to formulate the scales of electronegativity of the elements, to the calculations of rate constants of electron transfer cross-reactions, to the calculation of the observed rate constant as function of activation and diffusion rate constants in the case of mixed reaction-diffusion rates and to the calculation of the effective diffusion coefficient in solution of a salt AB as a whole from the diffusion coefficients of the ions in which it dissociates.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Collins, F.C., Kimball, G.E.: Diffusion-controlled reaction rates. J. Colloid Sci. 4(4), 425–437 (1949)

    Article  Google Scholar 

  • Di Giacomo, F.: Introduction to Marcus Theory of Electron Transfer Reactions. World Scientific Publishing, Singapore (2020)

    Book  Google Scholar 

  • Marcus, R.A.: Discussion comment on mixed Reactions-Diffusion Controlled Rates. Discuss. Faraday Soc. 29, 129–130 (1960)

    Google Scholar 

  • Marcus, R.A.: On the theory of oxidation-reduction reactions involving Electron Transfer.V. Comparison and Properties of Electrochemical and Chemical Rate Constants. J. Phys. Chem. 67, 853–857 (1963)

    Article  Google Scholar 

  • Marcus, R.A.: : Electron transfer in homogeneous and heterogeneous Systems. Phys. Chem. Sci. Rep. 1, 477–504 (1975)

    Google Scholar 

  • Mulliken, R.S.: A New Electroaffinity Scale; together with data on Valence States and on Valence ionization potentials and Electron affinities. J. Chem. Phys. 2, 782 (1934)

    Article  Google Scholar 

  • Mulliken, R.S.: Electronic structure of molecules XI. Electroaffinity, Molecula Orbitals and Dipole moments. J. Chem. Phys. 3, 573 (1935)

    Article  Google Scholar 

  • Pauling, L.C.: The Nature of the Chemical Bond. Cornell University Press, Ithaca,New York (1960)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Francesco Di Giacomo.

Ethics declarations

Conflict of interest

The author declares no competing financial interests.

Additional information

Publisher’s Note

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

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Di Giacomo, F. On how some fundamental chemical concepts are correlated by arithmetic, geometric and harmonic means. Found Chem 25, 265–268 (2023). https://doi.org/10.1007/s10698-023-09466-x

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10698-023-09466-x

Navigation