On the vapour-pressures of mixtures

Porter, Alfred W.

doi:10.1039/tf9201600336

Cited by 57 publications

(28 citation statements)

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“…From this expression, it is obvious that β 12 is analogous to the interaction parameter β SM of SM model [6][7][8][9], cf. "Relation between the Markov chain and the simple mixture models" below.…”

Section: Prediction Of the Critical Micelle Concentrationmentioning

confidence: 98%

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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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Section: Prediction Of the Critical Micelle Concentrationmentioning

confidence: 98%

“…They can be divided in three main groups. The most widely used approach to the problem remains the pseudo-phase separation theories, such as the single-parameter simple mixture (SM) model [6,7], referred often as to the regular solution model (which is not an entirely correct term, cf. Supplementary material 1).…”

Section: Introductionmentioning

confidence: 99%

Markov chain model for the critical micelle concentration of surfactant mixtures

Slavchov

Georgiev

2014

Colloid Polym Sci

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“…Several "classic" and local composition models show exactly the same composition dependence. In fact the empirical and "random mixture" models of Porter (1921), Van Laar, Scatchard-Hildebrand (Scatchard, 1931), two-parameter SSF (Rogalski and Malanowski, 1977), and Scatchard and Hamer (1935) can all be obtained from Eqs. 6 and 7 by applying appropriate combining rules for the energy and covolume cross parameters.…”

mentioning

confidence: 99%

Excess Gibbs energy of binary liquid mixtures and the Wong–Sandler postulates

Focke

2004

AIChE Journal

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“…The composition dependences of the Porter, 5 Margules, 3 and NRTL equations differ ostensibly. Nevertheless, this communication intends to show that these classic g E expressions are just special cases of a more general mixing rule recently developed for fluid physical properties.…”

Section: Introductionmentioning

confidence: 99%

“…Consequently one has to turn to empirical and semirational approaches. 1 Early significant g E empirical descriptions were provided by Margules, 3 van Laar, 4 Porter, 5 Wohl, 6 and Redlich and Kister. 7 The most important semitheoretical equations are based on the theoretical concept of local compositions.…”

Section: Introductionmentioning

confidence: 99%

Weighted-Power-Mean Mixture Model for the Gibbs Energy of Fluid Mixtures

Focke

2009

Ind. Eng. Chem. Res.

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A continuous family of excess Gibbs free energy expressions is derived based on the double-weighted power mean mixture model and concepts from cubic equations of state. This family has two types of parameters: The model form is determined by two power indices, whereas the matrix of binary coefficients characterizes pure component behavior and binary interactions. It is shown that the Porter, Margules, and Wassiljewa composition dependence are but special forms of this more general expression. In particular, the Wassiljewa Gibbs free energy form turns out to have the same composition dependence as the nonrandom two-liquid (NRTL) equation.

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On the vapour-pressures of mixtures

Cited by 57 publications

References 0 publications

Markov chain model for the critical micelle concentration of surfactant mixtures

Markov chain model for the critical micelle concentration of surfactant mixtures

Excess Gibbs energy of binary liquid mixtures and the Wong–Sandler postulates

Weighted-Power-Mean Mixture Model for the Gibbs Energy of Fluid Mixtures

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