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For alpha>0, we saw it in the video : Theta=0° or dumbbell along z axis.
For alpha=0, the quadrupole energy is 0 so no correction : all theta configurations have the same energy.
For alpha<0, the quadrupole correction is the other way around : minimal at Theta=90°, maximal at Theta=0, so the dumbbell will be in the xy plane.
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