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    DriesHendrikx
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    J can only be 2 if L=1 and S=1, so L and S are parallel.
    J=0, therefore (L,S) must be (1,-1), so L and S are antiparallel.
    J=1 is only possible when (L,S) = (1,0) or (0,1), so they are perpendicular.

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