“…Determination of K a from Direct Fluorimetric Titration. If the photophysical system depicted in Scheme 1 is excited with light of constant intensity, and if the absorbance A of the sample is less than 0.1, and moreover, if the rate of proton binding in the excited state can be neglected, the total fluorescence signal F(λ ex ,λ em , [H + ]) at proton concentration [H + ], due to excitation at λ ex and observed at emission wavelength λ em can be expressed by 21,22 where F min stands for the fluorescence signal of the basic form of the pH indicator (2*), and F max denotes the fluorescence signal of the acidic form of the pH indicator (1* Fitting nonlinear eq 17 to the excitation ratiometric fluorescence data R as a function of [H + ] yields values for K a , n, R min , and R max . Because (λ em ,λ ex 2 )sthe ratio of the fluorescence signal of phenolate form (2) of BCECF over that of the phenol form (1) at the indicated excitation and emission wavelengthss is experimentally accessible, a value for K a can be recovered from ratiometric excitation fluorescence data.…”