Understand the Bohr Model of H-Atom's 1s2p Splitting

[mal100]

[SOLVED] Bohr Model of H-atom

Hi,

Would anyone be good enough to explain why the 1s2p splitting in a hydrogen atom is 3/4 of the total binding energy?

Would it have anything to do with the Rydberg energy?

E = - 13.6eV/n^2

I appear to have floated through my degree blissfully unaware of electronic configurations and their associated energies.

Regards,
Malcolm

 

[Redbelly98]

E = - 13.6eV/n^2

That's the key. Use it to calculate the energy difference between the 1S and 2P states.

 

[mal100]

Ok, so

E(1s) = 13.6/1^2 = 13.6
E(2p) = 13.6/2^2 = 3.4

dE = E(1s)-E(2p) = 10.2

dE/E(1s) = 3/4

Thanks!