The wavenumbers of the first 5 absorption lines in the microwave spectrum of the ¹²C¹6O molecule, together with their relative intensities, are listed below. ✩ /cm-1 Relative intensity / arb. units 1.0 3.845 7.690 11.535 15.380 19.226 2.5 3.0 2.6 1.7 1. Assign rotational numbers J" and J' to each transition. 2. Deduce the rotation constant B (in cm¯¹) and the bond length r (in nm). 3. Estimate the rotational temperature.

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2.4 Rotational spectroscopy question
The wavenumbers of the first 5 absorption lines in the microwave spectrum of the ¹2C¹60
molecule, together with their relative intensities, are listed below.
ũ / cm
3.845 7.690 11.535
Relative intensity / arb. units 1.0 2.5 3.0
-1
15.380 19.226
2.6
1.7
1. Assign rotational numbers J" and J' to each transition.
2. Deduce the rotation constant B (in cm-¹) and the bond length r (in nm).
3. Estimate the rotational temperature.
Relative isotopic masses: ¹2C 12.000, ¹60 15.995
Transcribed Image Text:2.4 Rotational spectroscopy question The wavenumbers of the first 5 absorption lines in the microwave spectrum of the ¹2C¹60 molecule, together with their relative intensities, are listed below. ũ / cm 3.845 7.690 11.535 Relative intensity / arb. units 1.0 2.5 3.0 -1 15.380 19.226 2.6 1.7 1. Assign rotational numbers J" and J' to each transition. 2. Deduce the rotation constant B (in cm-¹) and the bond length r (in nm). 3. Estimate the rotational temperature. Relative isotopic masses: ¹2C 12.000, ¹60 15.995
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