What are the possible quantum states of an electron relaxing from n=4 to n=3?

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SUMMARY

The discussion focuses on the quantum states of an electron transitioning from the principal quantum number n=4 to n=3. The participant correctly identifies that the change in the azimuthal quantum number l must differ by 1, and the magnetic quantum number m_l can remain the same or differ by 1. The possible quantum states for the transition are enumerated as 3,2; 3,1; and 3,0, corresponding to the final states of the electron after relaxation.

PREREQUISITES
  • Understanding of quantum mechanics principles, specifically quantum numbers.
  • Familiarity with the concepts of principal quantum number (n), azimuthal quantum number (l), and magnetic quantum number (m_l).
  • Knowledge of electron transitions in atomic orbitals.
  • Basic grasp of energy level diagrams in quantum systems.
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  • Study the implications of quantum number changes in electron transitions.
  • Learn about the selection rules for electronic transitions in quantum mechanics.
  • Explore the concept of energy level diagrams for hydrogen-like atoms.
  • Investigate the role of quantum states in spectroscopy and atomic emission.
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jisbon
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Homework Statement
State possible quantum states of electron relaxing from n=4 to n=3 in the order of n,l
Relevant Equations
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Hi all,

I'm right now confused about this.
As far as I know, when changing from a level to another, the change in l (subshell) can only be a difference of 1, and ##m_{l}## can be the same or a difference of 1.
In this case, since the question wants me to state possible quantum states of electron relaxing from n=4 to n=3 in the order of n,l,
is the answer simply just 3,2 / 3,1 / 3,0 ?

Cheers
 
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You're probably expected to enumerate the possible initial states with ##n=4## and indicate the possible final states for each of the initial states.
 

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