Bohr Atom
compare with Rydberg-Ritz formula for observed wavelengths in Hydrogen 1/? = R(1/n22 - 1/n12) where R is Rydberg constant
frequency of photons f=c/?= c R(1/n22 - 1/n12)= (E2 - E1)/h
using Z=1, R=mk2e4/4?ch3 =1.096776 x 107 m-1 in agreement with experiment!
Energy levels can be determined from allowed radii
E=-(1/2)kZe2/r = -(mk2e4/2h2)(Z2/n2) = -E0 Z2/n2
E0 is the lowest energy for hydrogen = 13.6 eV
hence hydrogen atom(Z=1) has energies En = -13.6eV/n2 n=1,2,...