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  1. Molecular Rotation

    Linked via "octahedral symmetry"

    Spherical Tops
    Molecules exhibiting tetrahedral or octahedral symmetry (e.g., $\text{CH}4$, $\text{SF}6$) are termed spherical tops. They possess three identical principal moments of inertia$($IA = IB = I_C = I$). The energy levels are highly degenerate and depend only on the total angular momentum quantum number $J$:
    $$