# Hyperfine structure

1. Jun 10, 2015

### Yaste

1. The problem statement, all variables and given/known data
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

2. Relevant equations

3. 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!

2. Jun 10, 2015

### unscientific

What are the $L,S,J$ numbers for the two configurations? What are the selection rules for transitions between them?