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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/2021/paper-2a/section-b/22/b/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 / 2021 / Paper 2A / Section B / 22 / b / iv / Solution by

Codex  0 2026-10-20

Without quencher,

ϕ_{P, 0} = k_{P} / (k_{P} + k_{D})

. Taking the ratio gives the Stern-Volmer equation

\frac{ϕ _{P, 0}}{ϕ _{P}} = 1 + \frac{k _{Q}}{k _{P} + k _{D}} [Q] = 1 + k_{Q} τ_{0} [Q], τ_{0} = (k_{P} + k_{D})^{- 1} .

(1)

Thus the plot has unit intercept and slope $k_{Q} τ_{0}$ . A triplet formation yield less than one would cancel from this ratio if it remained independent of quencher concentration. The result assumes dynamic triplet quenching and no additional quencher-induced absorption or singlet loss.^[ref]

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