Possible Dipole Transitions from 5p to 4s in Potassium

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Possible dipole transitions from the 5p state to the 4s level in potassium include 5p to 5s to 4p to 4s and a direct transition from 5p to 4s. The discussion clarifies that the transition from 5p to 3d is incorrect due to the requirement that the orbital angular momentum quantum number (l) changes by ±1. Participants confirm that while 5p and 5s can transition, 5p and 3d cannot due to the l change restriction. The focus remains on identifying valid transitions while adhering to quantum mechanical rules. Understanding these transitions is crucial for studying electron behavior in potassium.
Max Eilerson
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An electron is excited to the 5p state in potassium, list all the possible dipole transitiosn that can occur as the electron relaxes to the 4s level. (Ignoring fine structure effects)

I've got

5p -> 5s -> 4p -> 4s
5p -> 4s

I'm not sure whether to also include

5p - > 3d -> 5s
3d -> 4p
3d -> 4s
 
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All correct except the 5p -> 3d, as l changes by 2. I knew that transitions needed change in l =+- 1 but thought the 5p and 3d states were interchangeable?
 

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