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.
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References
Collins, F.C., Kimball, G.E.: Diffusion-controlled reaction rates. J. Colloid Sci. 4(4), 425–437 (1949)
Di Giacomo, F.: Introduction to Marcus Theory of Electron Transfer Reactions. World Scientific Publishing, Singapore (2020)
Marcus, R.A.: Discussion comment on mixed Reactions-Diffusion Controlled Rates. Discuss. Faraday Soc. 29, 129–130 (1960)
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)
Marcus, R.A.: : Electron transfer in homogeneous and heterogeneous Systems. Phys. Chem. Sci. Rep. 1, 477–504 (1975)
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)
Mulliken, R.S.: Electronic structure of molecules XI. Electroaffinity, Molecula Orbitals and Dipole moments. J. Chem. Phys. 3, 573 (1935)
Pauling, L.C.: The Nature of the Chemical Bond. Cornell University Press, Ithaca,New York (1960)
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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
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DOI: https://doi.org/10.1007/s10698-023-09466-x