The energy (or more correctly, the wavenumbers) for an allowed rotational transition of a linear rotor, taking into account centrifugal distortion, is (J+1)=2B (J+1)-4D; (J+1)³. Microwave spectroscopy finds the following energies (in cm³¹) for transitions of 12C¹6O, J: 0 1 2 3 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.)

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Explain how by plotting the J values against the Energies allows us to determine the constants?

The energy (or more correctly, the
wavenumbers) for an allowed rotational
transition of a linear rotor, taking into account
centrifugal distortion, is
(J+1)=2B (J+1)-4D; (J+1)³.
Microwave spectroscopy finds the following energies (in cm³¹) for transitions of 12C¹6O,
J:
0
1
2
3
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.)
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)=2B (J+1)-4D; (J+1)³. Microwave spectroscopy finds the following energies (in cm³¹) for transitions of 12C¹6O, J: 0 1 2 3 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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