Application to the hydrogen atom
Schrodinger was able to calculate the energy levels of hydrogen by treating
3650g a hydrogen atom's electron as a wave, represented by the wave function, in a electric potential well, V, created
3843b by the proton. In Bohr's theory, electrons orbited the nucleus much as planets orbit the sun. Schrodinger model gives the probability of the electron
39sf020a being located at any particular location following the uncertainty principle, the electron cannot be viewed as having an exact location at any given time. The
39sf040 solutions to Schrodinger equation are called atomic orbitals, clouds of possible locations in which an electron might be found, a distribution of probabilities rather than a precise location. Orbitals have
39vf512 a range of different shapes in three dimensions. The energies of the different orbitals can be calculated, and they accurately reproduce the energy levels of the Bohr model.