Electric Dipole Transition: Selection Rules & n Transition

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SUMMARY

The discussion focuses on electric dipole transitions and their selection rules, specifically highlighting that for such transitions, the selection rules are Δl = ±1 and Δm_l = 0. The conversation clarifies that n transitions, which refer to changes in the principal quantum number, lead to different energy states and can occur independently of l transitions. It is established that while n transitions involve changes in energy levels, l transitions involve changes in orbital angular momentum, affecting the energy within the same principal quantum shell.

PREREQUISITES
  • Understanding of quantum numbers, specifically principal quantum number (n) and orbital angular momentum (l).
  • Familiarity with electric dipole transitions and their selection rules.
  • Basic knowledge of spectroscopy and energy state transitions in atoms.
  • Concept of angular momentum projection (m_l) in quantum mechanics.
NEXT STEPS
  • Research the implications of electric dipole selection rules in molecular spectroscopy.
  • Study the differences between n transitions and l transitions in detail.
  • Explore the role of angular momentum in quantum mechanics, focusing on m_l.
  • Investigate the complexities of selection rules in molecular systems compared to atomic systems.
USEFUL FOR

Students and professionals in physics, particularly those specializing in quantum mechanics, spectroscopy, and atomic theory, will benefit from this discussion.

neelakash
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I referred to hyperphysics to learn that for electric dipole transition,the selection rules are

\Delta\ l =\ 1

Or, \Delta\ l =\ -1

And, \Delta\ m_l =\ 0

Does not it include n transition?

How is n transition different from transition among the orbitals?

I mean n transition leads to different energy state...That I know.But does the transition among l lead also to different energy state?
 
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Selection rules in spectroscopy is not a fun area to study in my opinion, and to work out all the selection rules for a particular molecular system can be quite tiresome. Atoms are a lot easier than molecules, which is what I'm assuming you are referring to.

n is one of the simpler quantum numbers from a spectroscopic point of view. It refers to the electronic energy level, and can go up or down by any integer amount, or even stay the same during a transition. It is the "principle quantum number", or the quantum number of an atomic shell.

Transitions in l require a change in the orbital angular momentum of the electron in its shell, which happens every time a photon is absorbed. Higher l means more angular momentum for the electron and a higher energy in a given n shell. I can't remember much about m_l though, sorry! I think it's the projection of l on the atomic z axis.
 

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