The infrared (IR) spectrum of carbon monoxide 12C160 in the gas phase shows a multiplet structure...

   

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The infrared (IR) spectrum of carbon monoxide 12C160 in the gas phase shows a multiplet structure that arises from the contributions of both vibrational and rotational energies. The spectrum consists of two branches, or families of peaks. An R- branch that lies at higher energy and a P-branch that is resolved at lower energies. a) Construct a generic energy level diagram complete with quantum numbers and energy expressions that shows the lowest energy peak of the R-branch and the highest energy peak of the P-branch. b) 12C160 features a high bond force constant of 1905 N/m and a corresponding short bond length of 113 pm. At what frequencies, in wavenumbers, will the two IR absorbance peaks diagramed in part (a) be found? VR= Vp = c) If the CO sample is poised at ambient temperature, 295K, what peak in the R branch will show maximum intensity? Use quantum numbers to describe the transition. The infrared (IR) spectrum of carbon monoxide 12C160 in the gas phase shows a multiplet structure that arises from the contributions of both vibrational and rotational energies. The spectrum consists of two branches, or families of peaks. An R- branch that lies at higher energy and a P-branch that is resolved at lower energies. a) Construct a generic energy level diagram complete with quantum numbers and energy expressions that shows the lowest energy peak of the R-branch and the highest energy peak of the P-branch. b) 12C160 features a high bond force constant of 1905 N/m and a corresponding short bond length of 113 pm. At what frequencies, in wavenumbers, will the two IR absorbance peaks diagramed in part (a) be found? VR= Vp = c) If the CO sample is poised at ambient temperature, 295K, what peak in the R branch will show maximum intensity? Use quantum numbers to describe the transition.