Question

3. (3 pts) The energy (or more correctly, the wavenumbers) for an allowed rotational transition of a
linear rotor, taking into account centrifugal distortion, is
ν ̃(J + 1 ⟵ J) = 2 B̃ (J + 1) - 4 D̃J
(J + 1)3
.

Microwave spectroscopy finds the following energies (in cm-1

) for transitions of 12C
16O,

J: 0 1 2 3 4
3.845033 7.689919 11.534510 15.378662 19.222223.
Determine B̃, D̃J, and the equilibrium bond length of CO.

Answer 1