Bond Lengths, Bond Angles and Bohr Radii from Ionization Potentials Related via the Golden Ratio for H2+, O2, O3, H2O, SO2, NO2 and CO2

Bond Lengths, Bond Angles and Bohr Radii from Ionization Potentials Related via the Golden Ratio for H2+, O2, O3, H2O, SO2, NO2 and CO2

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Author(s): Raji Heyrovska

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1297 2087 1-4 Volume 2 - Apr 2013


In a recent paper, it was shown that the atomic radii of main Group elements are directly proportional to their ground state Bohr radii obtained from the first ionization potentials, with the proportionality constant involving the Golden ratio. It was demonstrated in earlier articles that atomic and Golden ratio based ionic radii are additive in chemical bond lengths. Here the bond lengths and angles are interpreted in terms of the respective Bohr radii and the Golden ratio. Simple molecules present on our Earth and in the environment, which are of importance to our lives have been chosen here as examples.


Bond lengths, Bond angles, Bohr radii, Golden ratio, Water molecule, Ozone, Atmospheric molecules


  1. Heyrovska, R. Atomic and Ionic Radii of Elements and Bohr Radii from Ionization Potentials are Linked Through the Golden Ratio. International J. Sciences., 2, 82-92, (2013).
  2. Heyrovska, R. The Golden ratio, ionic and atomic radii and bond lengths. Molecular Physics, 103, 877 - 882 (2005); and the literature therein
  3. Heyrovska, R. The Golden ratio in the creations of Nature arises in the architecture of atoms and ions. Chapter 12 in Book: Innovations in Chemical Biology, Editor: Bilge Sener,, (2009)
  4. Pauling, L. The Nature of the Chemical Bond, Cornell Univ. Press, NY, (1960).
  6. Hughes, R. H. Structure of Ozone from the Microwave Spectrum between 9000 and 45 000 Mc. J. Chem. Phys., 24, 131 (1956)
  7. Hasted, J. B. Liquid water: Dielectric properties, in Water A comprehensive treatise, Vol 1, Ed. F. Franks (Plenum Press, New York, 1972) pp. 255-309; (from:
  8. Gillespie, R. J., Robinson, E. A. The sulphur-oxygen bond in sulphuryl and thionyl compounds: correlation of stretching frequencies and force constants with bond lengths, bond angles and bond orders. Canad. J. Chem. 41, 2074-2085 (1963)
  9. Claesson, S., Donohue, J., Schomaker, V. The Molecular Structure of Nitrogen Dioxide. A Reinvestigation by Electron Diffraction. J. Chem. Phys. 16, 207 (1948)
  10. Harris, J. G., Yung, K. H. Carbon Dioxide's Liquid-Vapor Coexistence Curve And Critical Properties as Predicted by a Simple Molecular Model. J. Phys. Chem., 99, 12021–12024 (1995)

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