lowest energy configuration

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    Goele
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    For alpha > 0, the lowest energy configuration is when the dumbbell lies parallel to the z-axis
    For alpha < 0, the lowest energy configuration is when the dumbbell lies in the xy-plane (perpendicular to the z-axis)
    For alpha = 0, there is no quadrupole contribution to the energy, only a monopole contribution. Therefore the energy is constant

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