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Volume 6, Issue 2, March 2017, Page: 23-31
Renaissance of Bohr's Model Via Derived Alternative Equation
Ikechukwu Iloh Udema, Ude International Concepts Ltd., Agbor, Nigeria; Department of Chemistry and Biochemistry, Owa Alizomor Sec. Sch., Owa Alizomor, Nigeria
Received: Mar. 2, 2017;       Accepted: Mar. 11, 2017;       Published: Mar. 28, 2017
DOI: 10.11648/j.ajmp.20170602.11      View  3003      Downloads  268
Abstract
The aims of this research were: 1) To derive alternative equation into which can be substituted known experimental data and known physical constants for the calculation of Bohr’s radii of atoms for some elements, 2) respond to some of the objections raised against (or the short coming of Bohr’s theory,) and 3) make a case for the justification of Bohr’s theory. Apart from other elements, Bohr’s radius(a0) for hydrogen was 0.5291 Å; the radii for Na([Ne]3s1) and Na+ ([Ne]3s0) were 2.5844 Å and 0.5675Å respectively which correspond to effective nuclear charges (Zeff) equal to 1.8424 and 3.7291 respectively at the 1st and 2nd principal quantum numbers (n) respectively. The results were obtained based on two definitions: a0αn2/Zeff (from initial Bohr’s equation) and a0αn/(ξn) ½ (from the derived equation, where ξn is the average ionization energy). In conclusion, an alternative equation to Bohr’s equation was successfully derived. No single model should always be a solution to all scientific questions. Both original Bohr’s equation and derived equation can give, after calculation, similar value of any atomic radius. Therefore, Bohr’s theory stands scientifically justified.
Keywords
Bohr’s Equation, Heisenberg Principle, Schrödinger-Dirac Formalism, Derived Equation, Effective Nuclear Charge, Radius
To cite this article
Ikechukwu Iloh Udema, Renaissance of Bohr's Model Via Derived Alternative Equation, American Journal of Modern Physics. Vol. 6, No. 2, 2017, pp. 23-31. doi: 10.11648/j.ajmp.20170602.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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