Solution

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    Willemijn Goossens
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    J can take values between L+S and |L-S|. In this case this means J = 0, 1, or 2.
    J = 2 corresponds to L and S parallel and pointing in the same direction: the sizes of L and S add up. J = 0 corresponds to L and S parallel but pointing in opposite directions: L and S cancel each other to give J = 0. Finally, J = 1 corresponds to L and S being perpendicular to each other.

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