The energy (or more correctly, the wavenumbers) for an allowed rotational transition of a linear rotor, taking into account centrifugal distortion, is √(J + 1 ← J) = 2 B (J + 1) - 4 Ďƒ (J + 1)³. Microwave spectroscopy finds the following energies (in cm³¹) for transitions of 12 C160, J: 0 1 2 3 4 3.845033 7.689919 11.534510 15.378662 19.222223. Determine B, DJ, and the equilibrium bond length of CO. (Please make sure to submit a plot and regression as part of your work.)

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The energy (or more correctly, the wavenumbers) for an allowed rotational transition of
a linear rotor, taking into account centrifugal distortion, is
√ (J + 1 ← J) = 2 B (J + 1) - 4 DƑ (J + 1)³.
Microwave spectroscopy finds the following energies (in cm-¹) for transitions of 12 C160,
J: 0
1
2
3
4
3.845033
7.689919
11.534510
15.378662
19.222223.
Determine B, D, and the equilibrium bond length of CO. (Please make sure to submit a plot and
regression as part of your work.)
Transcribed Image Text:The energy (or more correctly, the wavenumbers) for an allowed rotational transition of a linear rotor, taking into account centrifugal distortion, is √ (J + 1 ← J) = 2 B (J + 1) - 4 DƑ (J + 1)³. Microwave spectroscopy finds the following energies (in cm-¹) for transitions of 12 C160, J: 0 1 2 3 4 3.845033 7.689919 11.534510 15.378662 19.222223. Determine B, D, and the equilibrium bond length of CO. (Please make sure to submit a plot and regression as part of your work.)
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