Examples: CH4, CCl4, SF6
For the case of I = IA = IB = IC the rotational energy is given by:
We obtain the respective quantum mechanical equation if we shift to the operators H and J:
The eigenvalues to J² are already
known: J²⋅Ψ =
h²⋅Ψ with J =
0, 1, 2, ...
It has become common practice to write this equation in a form with the
rotational constant B which has the unit of the wavenumber,
cm-1. The product term hcB equals the fraction
With c denoting the speed of light, the transformation between the moment of inertia I and rotational constant B is
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