Chapter 11, Problem 11.12P

Interpretation Introduction

Interpretation:

Quenching rate constant for the given process has to be determined.

Concept Introduction:

According to Stern-Volmer equation, fluorescence quantum yields of a molecule in presence and absence of a quencher (Q) at a certain molar concentration can be given as,

  $\begin{array}{c}\frac{{\Phi }_{F,0}}{{\Phi }_F}\text{ = 1 + }{\tau }_0{k}_Q\left[Q\right]\\ \frac{1}{\tau }\text{ = }\frac{\text{1}}{{\tau }_0}\text{ + }{k}_Q\left[Q\right]\\ \\ where,\\ {\Phi }_{F,0}\text{ = Fluorescence quantum yield in absence of Q}\\ {\Phi }_F\text{ = Fluorescence quantum yield in presence of Q}\\ {\tau }_0\text{ = Observed fluorescence lifetime in absence of Q}\\ \tau \text{ = Observed fluorescence lifetime in presence of Q}\\ \left[Q\right]\text{ = Molar concentration }ofQ\end{array}$