Solution

ID: past-exam-of-the-chemistry-course-of-the-year-3-of-the-natural-sciences-course-of-the-university-of-cambridge/2022/paper-2a/section-b/21/b/i/solution

A regularly repeated set of sharp features is characteristic of the unresolved Q subbranches of a perpendicular rovibrational band. The transition dipole is perpendicular to the symmetry axis, giving ; for the Q branch . Holding the rotational constants fixed between vibrational states cancels the term, leaving
Many J transitions therefore coincide within each K-changing Q subbranch in this approximation. The different K subbranches are separated by
The P and R branches have and , respectively. Their extra J-dependent terms spread many transitions across a broad background at modest resolution. A parallel band, with , would not generate this repeated Q-subbranch spacing under the stated assumptions.

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