UV absorption spectra demonstrating the reversible complexation
of p-cresol with equimolar dodecylguanidine in hexane.
Spectra were obtained as a function of total concentration of p-cresol (A, in which all seven spectra were measured at
58 °C; the inset shows a log–log plot of A308 vs total concentration); or as a function of temperature
(B, in which all eight spectra were measured with 0.50 mM total concentrations
of p-cresol and dodecylguanidine; the inset shows
a van’t Hoff plot). Temperatures in (B) are indicated by trace
colors: blue, 58 °C; green, 60 °C; orange, 62 °C; red,
64 °C. Two nearly superimposed traces of each color are plotted,
measured during up-then-down temperature steps. Spectral traces in
black (overlapping curves near 0 absorbance) in (A) and (B) represent
the residuals after subtracting the best-fitted linear combination
of the spectra of free p-cresol and complexed p-cresol/dodecylguanidine (C). The contribution of free p-cresol was computed as the measured extinction-coefficient
spectrum of pure p-cresol in hexane (C, black trace),
multiplied by its measured total concentration and the best-fit mole
fraction for it. These 11 mole fractions of free p-cresol, 1 for each of the 11 measured spectra, were calculated as
1 – Xi, where the values of Xi were 11 of the 512 adjustable parameters during
the least-squares fit. These Xi were the
mole fractions of the p-cresol present as a 1:1 complex
with dodecylguanidine. All 501 values of the extinction-coefficient
spectrum of this 1:1 complex (C, red trace) were also optimized during
the fit. See Supporting Information for
further details.