Complex formations between calix[4]arene-bis(crown-6-ether) calix-COU2 (A1) and the tetrasulfonated species calix-COUSULF (A2) with Cs(+) are investigated in water and ethanol, and in 9:1 (M1) and 1:9 (M2) H(2)O/EtOH v:v mixtures, by chemical relaxation and molecular modeling. In ethanol and M2, two Cs(+) are included in A1 in two kinetic steps, whereas complex formation in M1 becomes controlled by a slow first-order kinetic process, which is accompanied by very fast Cs(+) inclusions, second-order rate constant: k'(1) = (3.4 +/- 0.8) x 10(7) M(-1) s(-1). In water and M1, A2 forms 1:1 and 1:2 cesium complexes in a single kinetic step, whereas in M2, two Cs(+) are included in two kinetic steps. The rate and thermodynamic constants involved are reported. They show that the second-order rate constants increase with the ethanol-to-water ratio, e.g., A2, second-order rate constant for the first Cs(+) in water: k(1A2water) = (9.7 +/- 0.3) x 10(4) M(-1) s(-1) and in M2: k(1A2M2) = (6.3 +/- 0.4) x 10(9) M(-1) s(-1). The affinities of both A1 and A2 for Cs(+) also increase with the ethanol-to-water ratio, e.g., first inclusion of A1 in M1: K(1A1M1) = (5 +/- 1.3) x 10(3) and in ethanol: K(1A1EtOH) = (7 +/- 3) x 10(6). The deviation from the expected mechanism of complex formation with alkali is attributed to the comparatively more difficult access of Cs(+) to the inclusion cavity of the capped calixarene. An analysis of calix-COU2 and calix-COUSULF and their Cs(+) complexes with only one rim capped by the crown ether confirms the thermodynamic and kinetic results, by showing that the inclusion cavity of calix-COUSULF is more adapted to Cs(+) than that of calix-COU2. This added to the presence of the shielding effect of the negative sulfonates can explain that the affinity of calix-COUSULF for Cs(+) is higher than that of calix-COU2. These results can be of interest in the search of an efficient Cs(+) decontaminant.
The thermodynamics and kinetics of the complexation reaction between lead ions and the fluorescent sensor Calix-DANS4 are determined to optimize the geometry of the microreactor used for the flow-injection analysis of lead and to tune the working conditions of this microdevice. Under our experimental conditions (pH 3.2, low concentration of Calix-DANS4) the 1:1 Pb(2+)-Calix-DANS4 complex is predominantly formed with a high stability constant (log K(1:1)=6.82) and a slow second-order rate constant (k=9.4×10(4) L mol(-1) s(-1)). Due to this sluggish complexation reaction, the microchannel length must be longer than 130 mm and the flow rate lower than 0.25 mL h(-1) to have an almost complete reaction at the output of the microchannel and a high sensitivity for the heavy metal detection. After determination of the values of the reaction times in our different microdevices, it is possible to simulate the calibration curves for the fluorimetric detection of lead under different conditions. An original method is also presented to determine mixing times in microreactors.
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