doi:10.1016/j.saa.2005.02.012
Copyright © 2005 Elsevier B.V. All rights reserved.
Thermodynamics study of the dimerization equilibria of rhodamine B and 6G in different ionic strengths by photometric titration and chemometrics method
Jahanbakhsh Ghasemia,
,
, Ali Niazia and Mikael Kubistab
aChemistry Department, Faculty of Sciences, Razi University, Kermanshah 57166, Iran
bMolecular Biotechnology Department, Chalmers University of Technology, Goteberg, Sweden
Received 22 October 2004;
revised 14 February 2005;
accepted 16 February 2005.
Available online 17 March 2005.
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Abstract
The dimerization constants of rhodamine B and 6G have been determined by studying the dependence of their absorption spectra on the temperature in the range 20–80 °C at different total concentrations of rhodamine B (5.89 × 10−6 to 2.36 × 10−4 M) and rhodamine 6G (2.34 × 10−5 to 5.89 × 10−4 M) and in different concentrations of LiCl, NaCl and KCl salts as supporting electrolytes. The monomer–dimer equilibrium of rhodamine B and 6G have been determined by chemometrics refinement of the absorption spectra obtained by thermometric titrations performed at different ionic strengths. The quantitative analysis of the data of undefined mixtures, was carried out by simultaneous resolution of the overlapping spectral bands in the whole set of absorption spectra. The dimerization constants are varied by changing the ionic strength and the degree of dimerization are decreased by increasing of the ionic strength of the medium. The enthalpy and entropy of the dimerization reactions were determined from the dependence of the equilibrium constants on the temperature (van’t Hoff equation). From the thermodynamic results the TΔS°–ΔH° plot was sketched. It shows a fairly good positive correlation which indicates the enthalpy–entropy compensation in the dimerization reactions (compensation effect).
Keywords: Dimerization; Chemometric; Spectrophotometric; Rhodamine B; Rhodamine 6G; Compensation effect; Ionic strength
Fig. 1. Absorption spectra and calculated absorption spectra of monomer (- - -) and dimer (—) of rhodamine B (2.4 × 10−4 mol l−1) in 5 °C intervals between 20 and 80 °C at pH 7.50: (a) in water; (b) 3 M NaCl.
Fig. 2. Absorption spectra and calculated absorption spectra of monomer (- - -) and dimer (—) of rhodamine 6G (5.89 × 10−5 mol l−1) in 5 °C intervals between 20 and 80 °C at pH 7.50: (a) in water; (b) 2 M NaCl.
Fig. 3. The van’t Hoff equation plot at different concentrations of rhodamine B dye: (a) 5.89 × 10−6 mol l−1; (b) 1.12 × 10−5 mol l−1; (c) 1.77 × 10−5 mol l−1; (d) 2.36 × 10−5 mol l−1 and rhodamine 6G: (e) 3.24 × 10−5 mol l−1; (f) 5.89 × 10−5 mol l−1 at pH 7.50.
Fig. 4. Molar ratio of rhodamine B and rhodamine 6G dyes monomer (
) and dimer (○), compared to molar ratios predicted by the temperature dependence of the equilibrium constant (shown as line) at different concentrations of rhodamine B dye: (a) 5.89 × 10−6 mol l−1; (b) 1.12 × 10−5 mol l−1; (c) 1.77 × 10−5 mol l−1; (d) 2.36 × 10−5 mol l−1 and rhodamine 6G: (e) 3.24 × 10−5 mol l−1; (f) 5.89 × 10−5 mol l−1 in water (temperature unit is K scale).
Fig. 5. Plot of TΔS vs. ΔH° for dimerization of rhodamine B and rhodamine 6G of different concentrations in various ionic strengths medium.
Table 1.
Dimeric constant (KD) and thermodynamic parameters values of rhodamine B and rhodamine 6G dyes at different concentrations without adjusting ionic strength in water

Table 2.
Dimeric constant (KD) and thermodynamic values of rhodamine B and rhodamine 6G dyes at different concentrations of salts
