QUANTIFICATION OF ENERGY OF BOHRS ATOMIC MODEL AND RELAVANT MATHEMATICAL DERIVATIONS AND SCIENTIFIC ARGUMENTS

Bohr's model of hydrogen is based on the nonclassical assumption that electrons travel in specific shells, or orbits, around the nucleus.
Bohr's model calculated the following energies for an electron in the shell,n 
E(n) = -1/n^2 * 13.6 eV 
Bohr explained the hydrogen spectrum in terms of electrons absorbing and emitting photons to change energy levels, where the photon energy is

hv = delE = (1/nlow^2 - 1/nhigh^2) * 13.6 eV
Bohr's model does not work for systems with more than one electron.