Markov chain model of mixed surfactant systems

Georgiev, Georgi V.

doi:10.1007/bf00658909

Cited by 54 publications

(45 citation statements)

References 49 publications

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“…In a mixed solution of two surfactants, S 1 and S 2 , four detailed equilibrium processes are established [16]:…”

Section: Prediction Of the Critical Micelle Concentrationmentioning

confidence: 99%

“…MC model is a kinetic model; the results from Ref. [16] refer to stationary nonequilibrium state. We consider this question in detail in "Micelle composition-equilibrium thermodynamic treatment" and derive a new expression for the micelle composition, which should be used for established equilibrium between micelles and monomers.…”

Section: Introductionmentioning

confidence: 99%

“…In essence, the MC model is a new mass action model, based on the assumption for the existence of relatively stable active centers (AC) in the micelle. The idea of the MC model [16] can be easily understood if we consider the linear aggregate formation illustrated in Fig. 1.…”

Section: Introductionmentioning

confidence: 99%

“…This study is developing a model for micellization based on the Markov chain (MC) mechanism proposed previously [16]. In essence, the MC model is a new mass action model, based on the assumption for the existence of relatively stable active centers (AC) in the micelle.…”

Section: Introductionmentioning

confidence: 99%

“…If the total surfactant concentration C is below cmc i , the equilibrium condition (2) is impossible and no micelles will occur. Previously, Markov chain model was used to relate monomer and micelle composition in binary mixtures [16]; the cmc of the mixture was not investigated. However, the most important experimental method for studying mixed micelles is the measurement of cmc with varying monomer compositions [8][9][10][11]17], while the micelle composition is almost always calculated theoretically (either by using a micellization model [8][9][10][11] or through Duhem-Margules relations [17]).…”

Section: Introductionmentioning

confidence: 99%

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Markov chain model for the critical micelle concentration of surfactant mixtures

Slavchov

Georgiev

2014

Colloid Polym Sci

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An extension of the Markov chain model (MC) for micellization is proposed, which allows the distribution of the surfactants between the monomer solution and the micelles in a mixed surfactant system to be predicted. The dependence of the critical micelle concentration (cmc) on the composition of the solution is investigated. The equilibrium thermodynamic relation between cmc and micelle composition is discussed. The case of ternary mixtures is analyzed, and theoretical triangular diagram is constructed according to MC. Available experimental data for binary and ternary mixtures agree well with the new MC theory. The dependence of MC parameters on the structure of the surfactants is discussed. Comparison of MC with the simple mixture ("regular solution") model is presented. The parameters of the MC theory are related to the interaction parameter β SM of the simple mixture model.

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“…In a mixed solution of two surfactants, S 1 and S 2 , four detailed equilibrium processes are established [16]:…”

Section: Prediction Of the Critical Micelle Concentrationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Markov chain model for the critical micelle concentration of surfactant mixtures

Slavchov

Georgiev

2014

Colloid Polym Sci

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Synergistic effect between amino sulfonate amphoteric surfactant and octylphenol polyoxyethylene ether (10) in aqueous solutions with different acidicities: consideration of different thermodynamic models

Ren

Luo

Zheng

et al. 2015

J. Chem. Technol. Biotechnol.

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The micellization behavior of binary mixtures of sodium n-dodecyl diamine sulfonate (C12AS) and octylphenol polyoxyethylene ether (10), OP-10, in aqueous solutions at pH 3.5, 6.0, and 8.5 was investigated, and the values of mixed critical micelle concentration (C M ) were determined by both UV-vis spectroscopy using pyrene as a probe and by tensiometry. Within the framework of the pseudophase separation model, four thermodynamic models were adopted to describe the micellization parameters including the interaction parameters ( 12 ) between two surfactants, the components in real and ideal mixed micelles, the activity coefficients in mixed micelles, the thermodynamic parameters, and the thermodynamic stability. The experimental values of C M , inferior to the ideal values, show nonideal mixing; the negative values of 12 obtained from Rubingh's, Rodenas's, and Motomura's models mean the synergistic effect. Although there exist some divergences in the micellization parameters predicted by the three treatments, similar results were obtained, indicating the validity of these models in this investigation. Based on the calculation errors, Rubingh's model is best to describe the interacting behavior between the two surfactants in this investigation. Thermodynamic parameters predicted by the three treatments show a spontaneous process of micellization and an entropic contribution in the formation of mixed micelles. Different acidities of solutions result in different stabilities of micellization. The stability in feeble acidic solution is higher than in acidic or basic solution, and the stability in basic solution is slightly superior to that in acidic solution. All the above described phenomena can be explained rationally by the electrostatic effect of head groups of C12AS, the steric effect of head group for two surfactants, the molecular structures of surfactants, the influence of added counterion, and so on.

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Special Issue: Functional Polymers and Composites: From Synthesis to Applications (Dedicated to the 80th Anniversary of Professor George S. Georgiev)

Tsarevsky

2022

Polymer International

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Markov chain model of mixed surfactant systems

Cited by 54 publications

References 49 publications

Markov chain model for the critical micelle concentration of surfactant mixtures

Markov chain model for the critical micelle concentration of surfactant mixtures

Synergistic effect between amino sulfonate amphoteric surfactant and octylphenol polyoxyethylene ether (10) in aqueous solutions with different acidicities: consideration of different thermodynamic models

Special Issue: Functional Polymers and Composites: From Synthesis to Applications (Dedicated to the 80th Anniversary of Professor George S. Georgiev)

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