de Broglie Waves & the Bohr Atom
de Broglie’s wave relation ( ? = h/p ) can now be used to “derive” Bohr’s quantization rule for the hydrogen atom (L = n (h/2?)).
How? if an electron is to be viewed as a wave whose wavelength is determined by its momentum, then in the H atom, the electron can have only certain momenta, namely those that correspond to the wavelengths of the standing waves on the orbit.
Standing wave condition: Circumference of circle =
integral number of wavelengths
Conclusion: Bohr’s quantization rule is just the requirement that the electron wave be a standing wave on the circular orbit!