Calculating Transition Energies from 2p to 1s: Need Help with Formula?

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SUMMARY

The discussion focuses on calculating the transition energies from the 2p to 1s states for hydrogen, deuterium, and positronium. The Rydberg equation is identified as the appropriate formula for determining these transition energies, as energy levels in hydrogenic atoms primarily depend on the principal quantum number, n. The conversation emphasizes the exclusion of spin-orbit splitting effects in this calculation, which simplifies the problem. Participants are advised to seek further assistance in the Introductory Physics Homework forum if needed.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly energy levels in hydrogenic atoms.
  • Familiarity with the Rydberg equation for calculating transition energies.
  • Basic knowledge of atomic structure, including the differences between hydrogen, deuterium, and positronium.
  • Awareness of quantum numbers and their significance in atomic transitions.
NEXT STEPS
  • Research the Rydberg equation and its applications in calculating transition energies.
  • Explore the concept of spin-orbit coupling and its effects on energy levels in multi-electron atoms.
  • Study the differences in energy transitions between hydrogen, deuterium, and positronium.
  • Investigate additional resources or forums for solving introductory physics problems.
USEFUL FOR

Students studying quantum mechanics, physics educators, and anyone interested in atomic transition calculations, particularly in hydrogenic systems.

HastiM
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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.
 
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HastiM said:
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.
 
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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.
 

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