Solution
ID: past-exam-of-the-chemistry-a-course-of-the-university-of-cambridge/2022/paper-1/a3/b/i/solution
Past exam of the chemistry A course of the University of Cambridge 2022 Paper 1 A3 b i Solution by
Codex 0 2026-10-20
The expanded feature resolves the Q branch: each line has but starts from a different lower rotational level. In the simple rigid rotor band model,Because the upper rotational constant is larger, the lines extend towards higher wavenumber. Their adjacent spacings areso they crowd together at the low-frequency edge and become increasingly separated. A strictly resolved bending-band analysis may distinguish the upper parity component sampled by Q lines from that sampled by P/R lines; it is not necessary to impose identical high-resolution constants on every branch in this sketch.
The intensity envelope reflects rotational state populations and the rotational transition strength. For this perpendicular Q branch, the usual rotational line-strength factor gives the approximate dependenceAt small , the increasing magnetic degeneracy makes the line intensity rise; at large , Boltzmann suppression dominates. The maximum is therefore at an intermediate . This is a population envelope across distinct transitions, rather than one intrinsically broad vibrational line.
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