How do you calculate the energy of an electron in the ground state of a hydrogen atom ?

1 Answer
Sep 27, 2015

You can calculate the ground state energy using The Bohr Model


A simple expression for the energy of an electron in the hydrogen atom is:

#E=-(13.6)/(n^2)# where the energy is in electron volts

#n# is the principle quantum number.

This gives rise to the familiar electron energy level diagram where they converge and coalesce.

So for an electron in #n=1#:


To convert to joules you can x this by #1.6xx10^(-19)#

For many - electron atoms quite complicated approximate methods can be used which take into account factors such as electron interactions and screening effects.