Calculating 2p to 1s transition energies in hydrogen, deuterium and positronium

[HastiM]

I shall calculate the 2p → 1s transition energies for hydrogen, deuterium (one proton plus one neutron in the nucleus), and positronium (bound state of an electron and a positron).

My problem with this exercise is that I couldn't find a formula to calculate the transition energies. Can someone tell me which formula can be used to determine them? Unfortunately, I couldn't find anything in my books or the internet. I would appreciate your help.

 

[Vagn]

I shall calculate the 2p → 1s transition energies for hydrogen, deuterium (one proton plus one neutron in the nucleus), and positronium (bound state of an electron and a positron).

My problem with this exercise is that I couldn't find a formula to calculate the transition energies. Can someone tell me which formula can be used to determine them? Unfortunately, I couldn't find anything in my books or the internet. I would appreciate your help.

Energy levels in hydrogenic atoms are, to a first approximation, only dependent on the principal quantum number, n.
Since the question does not consider the spin-orbit splitting of the 2p orbital, which is about an order of magnitude larger than the difference between the 2p and the 2s energy levels for hydrogen, we can you are expected to use the Rydberg equation.

 

[DrClaude]

Such a question should be posted in the Introductory Physics Homework forum. If the hint from @Vagn is not sufficient and you still have questions, please re-post there. Remember to fill the homework template and give an attempt at a solution.

Thread closed.