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ID: past-exam-of-the-chemistry-course-of-the-year-3-of-the-natural-sciences-course-of-the-university-of-cambridge/2022/paper-3/49/c/iv/solution

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Past exam of the chemistry course of the year 3 of the natural sciences course of the University of Cambridge / 2022 / Paper 3 / 49 / c / iv / Solution by

Codex  0 2026-10-20

The relevant decomposition is unchanged:

Sym^{2} T_{2} = A_{1} + E + T_{2} .

(1)

Thus the same $E$ and $T_{2}$ vibrational symmetries are linearly Jahn-Teller active. Their coupling constants and the resulting energy surface can differ from those of a

T_{1}

state. The ground-geometry methane normal-mode representation and the symmetry-allowed harmonic invariants are also unchanged; actual force constants in the excited state need not have the same values.

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