1. Consider the rovibrational spectrum for the v = 0 v = 1 vibrational transition of...

 

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1. Consider the rovibrational spectrum for the v = 0 v = 1 vibrational transition of H35 Cl below, assuming the rotational constant is the same for the lowest two vibrational states B=0 = Bv=1. viii Intensity 0+ vii 2600 2700 2900 2800 wavenumber (cm) 3000 3100 (a) List the rotational transitions J; J; to which the peaks (i)-(viii) correspond. (b) List the branches to which the peaks the peaks (i)-(vii) belong. (c) Estimate the energy of the pure vibrational (v = 0, J = 0) (v = 1, J = 0) transition in wavenumbers. (d) Approximate the vibrational frequency of the isotopologue H37 CI within the harmonic approximation, assuming the potential remains unchanged. (e) State whether H35 Cl or H37 Cl is expected to have a larger bond dissociation energy in the Morse approximation. 1. Consider the rovibrational spectrum for the v = 0 v = 1 vibrational transition of H35 Cl below, assuming the rotational constant is the same for the lowest two vibrational states B=0 = Bv=1. viii Intensity 0+ vii 2600 2700 2900 2800 wavenumber (cm) 3000 3100 (a) List the rotational transitions J; J; to which the peaks (i)-(viii) correspond. (b) List the branches to which the peaks the peaks (i)-(vii) belong. (c) Estimate the energy of the pure vibrational (v = 0, J = 0) (v = 1, J = 0) transition in wavenumbers. (d) Approximate the vibrational frequency of the isotopologue H37 CI within the harmonic approximation, assuming the potential remains unchanged. (e) State whether H35 Cl or H37 Cl is expected to have a larger bond dissociation energy in the Morse approximation.