2009/02/06 by Raji Heyrovska, Raji Heyrovská, Heyrovska, Raji
Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.0902.1184
14 pages including Table 1 and 5 figures
arxiv created 2009/02/06 · openalex publication_date 2009/02/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Golden ratio which appears in the geometry of a variety of creations in Nature is found to arise right in the Bohr radius of the hydrogen atom due to the opposite charges of the electron and proton. The bond length of the hydrogen molecule is the diagonal of a square on the Bohr radius and hence also has two Golden sections, which form the cationic and anionic radii of hydrogen. It is shown here that these radii account for the bond lengths of many hydrides when added to the atomic and Golden ratio based ionic radii of many other atoms.