In spectroscopy the rotational energy levels are more conveniently expressed as

Question

In spectroscopy the rotational energy levels are more conveniently expressed as so-called terms F(J) = J(J + 1)B , where F(J) is essentially the energy, however, expressed in cm^-1, and B is the rotational constant Apart from the "cm" convention, rotational lines are sometimes given in GHz, especially in the Astronomy community. Convert a rotational line observed at 651 GHz to cm^-1. Sketch an energy level diagram using the rotational constant B as a unit on the energy axis, and indicate the degeneracy of the levels.

Explanation / Answer

Quesion 5

We know that

1 gigahertz = 29.97 cm-1 wavelength

so 651 GHz = 29.97 * 651 cm-1 = 19510.47 cm-1

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