The surprising discovery that Bohr radius is divided at the Golden point into two sections pertaining to the electron and proton due to electrostatic reasons led to the general finding that it is a geometrical constant in atomic and ionic radii, bond lengths and bond angles. In an earlier article, the fine structure constant was also interpreted in terms of the Golden ratio. Here experimental data on wavelengths of hydrogen spectral lines have been used to evaluate the Rydberg constant, fine structure constant and Sommerfeld's relativity factor and are all shown to be simple functions of the Golden ratio.
Hydrogen spectra, fine structure constant, Golden ratio, Relativity factor, Rydberg constant, Rydberg formula, Bohr radius
- Heyrovska, R. The Golden ratio, ionic and atomic radii and bond lengths.
- Molecular Physics, 103, 877 - 882 (2005); and the literature therein
- Livio, M. The Golden Ratio: The Story of PHI, the World's Most Astonishing Number, Broadway Books, NY, (2002)
- 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, Springer.com, January (2009)
- Heyrovska, R. and Narayan, S. Atomic Structures of Molecules Based on Additivity of Atomic and/or Ionic Radii. AIP Conference Proceedings 1119, 216 (2009); Nature Precedings http://precedings.nature.com/documents/3292/version/1
- Heyrovska, R.Dependence of the Length of the Hydrogen Bond on the Covalent and Cationic Radii of Hydrogen, and Additivity of Bonding Distances. Chemical Physics Letters, 432, 348 - 351 (2006)
- Heyrovska, R. Dependences of Molar Volumes in Solids, Partial Molal and Hydrated Ionic Volumes of Alkali Halides on Covalent and Ionic Radii and the Golden Ratio. Chemical Physics Letters, 436, 287 - 293 (2007)
- Heyrovska, R. Golden Sections of Interatomic Distances as Exact Ionic Radii and Additivity of Atomic and Ionic Radii in Chemical Bonds. arXiv:0902.1184 [pdf]
- Heyrovska, R. Atomic and Ionic Radii of Elements and Bohr Radii from Ionization Potentials are Linked Through the Golden Ratio. International J. Sciences., Vol 2, 82-92, Issue-Mar-2013. http://www.ijsciences.com/pub/pdf/V2-201303-19.pdf
- Heyrovska, R. Bond lengths, Bond angles and Bohr Radii from Ionization Potentials Related via the Golden Ratio for H2+, O2, O3, H2O, SO2, NO2 and CO2.
- International J. Sciences., Vol 2, 1-4, Issue-Apr-2013, http://www.ijsciences.com/pub/pdf/V2-201304-08.pdf
- Heyrovska, R. Atomic, Ionic and Bohr Radii Linked via the Golden Ratio for Elements Including Lanthanides and Actinides. International J. Sciences., Vol 2, 63-68, Issue-Apr-2013, http://www.ijsciences.com/pub/pdf/V2-201304-18.pdf
- Heyrovska, R. Fine-structure Constant, Anomalous Magnetic Moment, Relativity Factor and the Golden Ratio that Divides the Bohr Radius
- Ruark, A. E. and Urey, H. C. Atoms, molecules and quanta, Volume I, (Dover
- Publications, New York, 1964), p. 134
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