Estimate the energy of an electron in a hydrogen atom and hence deduce an approximate formula for the ionization energy of hydrogen. How accurate is your formula?
Don't know but it is in the field of quantum mechanics
The Attempt at a Solution
Ionisation Energy is energy required to remove an electron.
Electrostatic Potential (energy per unit charge) V=q/(4πε_0 r)= e/(4πε_0 r)
For a Bohr atom (Z=1), energy required to remove an electron from the atom with a nucleus of charge e and a radius r0 is the Electrostatic Potential Energy:
PE=qV = e^2/(4πε_0 r)×1/e
The equation estimates the distance of the electron from the proton in the nucleus as a precise value – this is not the case. An electron’s position is given by a wave-function probability density and it is in effect occupying the whole of the atom at once.
IS ANY OF THIS RIGHT?