Question: The equilibrium separation between the nuclei of the nitrogen molecule is 0.11 nm. The mass of each nitrogen nucleus is 14 u, where u =

The equilibrium separation between the nuclei of the nitrogen molecule is 0.11 nm. The mass of each nitrogen nucleus is 14 u, where u = 1.66 x 10-27 kg. We wish to calculate the energies of the three lowest angular momentum states of the nitrogen molecule.

(a) Approximate the nitrogen molecule as a rigid dumbbell of two equal point masses, and calculate the moment of inertia about its center of mass.

(b) Find the rotational energy levels using the relation Eℓ = ℓ (ℓ + 1)h2/2I.

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