J$J$ can take values |L-S|$|L-S|$ to |L+S|$|L+S|$, so |1-1|=0 |1-1|+1=1 |1-1|+2=2\begin{equation} \begin{aligned} |1-1|&=0\\ |1-1|+1&=1\\ |1-1|+2&=2 \end{aligned} \end{equation}
AccidentalFourierTransform
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