For a diatomic molecule rotating in free space, the hamiltonian may be written: 2. 21 here l is the total angular momentum operator, and i is a constant (the moment of 2π) and dt-sin θ d θ d φ. the normalized inertia). remember (0 θ π; 0 φ eigenfunctions for the1 state are: yi(8, φ)-1.sinbeip 470 a molecule in the 1 state is placed in a crystal for which the interaction may be written: where k is the interaction strength. determine the resulting energies and sketch the splitting pattern. see attached table of integrals