# How did DeBroglie's hypothesis account for the fact that the energy in a hydrogen atom is quantised?

##### 1 Answer

Bohr assumed that electrons move in an orbit around the central nucleus and only certain orbits are allowed.

The electron can be considered as a standing wave. This means that only an integral number of wavelengths can fit into a circular orbit. So we can write:

The wavelength of the electron is given by the de Broglie expression:

Where:

Substituting for

The angular momentum of the electron =

This is an important result in that it tells us that the angular momentum of the electron can only take integral values of