Atomic, Ionic and Bohr Radii Linked via the Golden Ratio for Elements of Groups 1 - 8 Including Lanthanides and Actinides

Author(s): Raji Heyrovska

In an earlier article, atomic radii of elements of Groups 1A - 8A were shown to be proportional to their Bohr radii obtained from the first ionization potentials and the constants of proportionality were shown to be simple functions of the Golden ratio. Here it is shown that the above finding holds also for elements of Groups 1B - 8B including Lanthanides and Actinides. All the relevant data are presented in Tables and the correlations are shown in graphs. Revised data for some of the elements of Groups 1A - 8A, have also been included.

Bond lengths, Covalent radii, Ionic radii, Bohr radii, Golden ratio, Group 1- 8 elements, Lanthanides, Actinides, Radii of electrons, Nuclear radii

1. Shechtman, D.
2. http://www.nobelprize.org/nobel_prizes/chemistry/laureates/2011/shechtman-lecture.html
3. Coldea, R., et al, Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry, Science, 327, 177-180 (2010)
4. Heyrovska, R., Structures at the atomic level of cobalt, zinc and lead niobates (with an Appendix: Atomic structure of cobalt niobate crystal)
5. http://precedings.nature.com/documents/6059/version/2
6. Heyrovska, R. The Golden ratio, ionic and atomic radii and bond lengths
7. Molecular Physics, 103, 877 - 882 (2005); and the literature therein
8. Heyrovska, R. Atomic and Ionic Radii of Elements and Bohr Radii from Ionization Potentials are Linked Through the Golden Ratio. International J. Sciences, 2, 1-4, Apr 2013; http://www.ijsciences.com/pub/pdf/V2-201303-019.pdf
9. Livio, M. The Golden Ratio: The Story of PHI, the World's Most Astonishing Number, Broadway Books, NY, (2002)
10. Pauling, L. The Nature of the Chemical Bond, Cornell Univ. Press, NY, (1960)
11. Heyrovska, R. a) Direct dependence of covalent, van der Waals and valence shell radii of atoms on their Bohr radii for elements of Groups 1A - 8A. Ohtaki Memorial Lecture, 10th Eurasia Conference on Chemical Sciences, Manila, Philippines, 2008. Philippine J. Sci. 137, 133-139, (2008); b) http://arxiv.org/abs/0708.1108v2
12. http://physics.nist.gov/PhysRefData/IonEnergy/tblNew.html
13. http://www.webelements.com/lithium/crystal_structure.htm