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A Review of Bohr's Derivation of Balmer-Rydberg Formula for the Hydrogen Atom

Author:

Abdullahi, Musa Daji

Category:

Research Papers

Sub-Category:

Mechanics / Electrodynamics

Language:

English

Date Published:

August 7, 2018

File:

/Research Papers-Mechanics / Electrodynamics/Download/7408

Downloads:

518

Keywords:

Angular momentum, hydrogen spectrum, orbit, quantisation, radiation, wavelength.

Abstract:

According to classical electrodynamics the Rutherford’s nuclear model of the hydrogen atom should be unstable. But the hydrogen atom is very stable with emission of radiation at discrete frequencies. The Balmer-Rydberg formula gives the wave number of the lines of the spectrum of the hydrogen atom in terms of the Rydberg constant R and quantum numbers n and q. Niels Bohr brilliantly stabilised the Rutherford’s atom by invoking quantum mechanics and making two ad-hoc assumptions, to derive the Balmer-Rydberg formula. The spectral lines range from the far infra-red to ultra-violet regions. A recapitulation of Bohr’s derivation is given in this paper.