The relative motion of two atoms in a molecule can be described as the motion of a single body of mass m moving in one dimension, with potential energy U(r) = A/r12 - B/r6, where r is the separation between the atoms and A and B are positive constants.
a) Find the equilibrium separation, r0, of the atoms, in terms of the constants A and B.
b) If moved slightly, the atoms will oscillate about their equilibrium separation. Find the angular frequency of this oscillation, in terms of A, B, and m.
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