# Spectroscopic notation problem

1. Dec 11, 2014

### MariusM

1. The problem statement, all variables and given/known data
Consider a $^3D_X$ where $X=3/2$ state.

a) What are the possible values of $S, L, J$ and $J_z$?

2. Relevant equations
Spectroscopic notation for this LS coupling is $^YL_J$ where $Y=2S+1$. $J$ ranges from$|L-S|$ to $|L+S|$

3. The attempt at a solution
Since $L=2$ and $S$ must be equal to $1$, how can $J$ be a fraction? Shouldn't $J$ be either $1, 2, 3$?

2. Dec 11, 2014

### Staff: Mentor

You are absolutely right. The problem is incorrect as it stands.

3. Dec 11, 2014

### MariusM

Thanks for helping me clarify this!