In this problem you will calculate the Stark effect on the rotational spectrum of a symmetric top molecule. 

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The perturbation operator for a dipole o in an electric field E is H'=-μË. Take the direction of the field as Z, and note that the dipole moment direction coincides with that of the angular momentum vector K for spinning about the symmetry axis. Show that the first-order correction to the energy W of a rotational state is W(1) JKM -Ho KM E J(J+1) Make a sketch showing how the transition J = 1, K=1 → J=2, K=1 would be split by a 100 V/cm field, for a molecule having a dipole moment of 1 D.