Hyperfine Structure of $^133Cs$: Find I & J

AI Thread Summary
The discussion centers on determining the nuclear spin and total angular momentum (J) for the 5p^5 6s configuration of Cesium-133 (Cs-133) based on observed transition energies. The user seeks guidance on calculating the values of F, I, and J, noting the need for the S and L quantum numbers for the specified configurations. There is uncertainty regarding the selection rules for transitions between the 5p^5 6s and 5p^5 6p configurations. Participants are encouraged to provide insights on how to derive these quantum numbers and the relevant selection rules. The thread emphasizes the complexity of the problem and the need for collaborative assistance in solving it.
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Homework Statement


A transition happens for ##\lambda = 494nm## in the Cesium ions (##^133 Cs##) between a term in the ##5p^5 6s## configuration and term in the ##5p^5 6p## configuration. Five components are observed with the following energies (relative to the transition of least energy): 0, 2.40Ghz, 5.75GHz, 10.07GHz, 15.35GHz.

Find the value of the nuclear spin of ##^133 Cs## as well as the value of J for the term in the ##5p^5 6s## configuration

Homework Equations

The Attempt at a Solution



I am not sure how to solve this. I probably have to use ##F = I + J##, with ##I## being the nuclear spin, which I have to find. I therefore need the value of ##F## and ##J##.

One of the problems here is that I do not know how to find the S and L for the above configurations.. Any help would be huge!
 
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What are the ##L,S,J## numbers for the two configurations? What are the selection rules for transitions between them?
 

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