Colloids and Surfaces A: Physicochemical and Engineering Aspects 155 (1999) 339 – 348 www.elsevier.nl/locate/colsurfa The surface physico-chemical properties of surfactants in ethanol–water mixtures J.-B. Huang *, M. Mao, B.-Y. Zhu Institute of Physical Chemistry, Peking Uni6ersity, Beijing 100871, PR China Received 26 August 1998; received in revised form 21 December 1998; accepted 23 December 1998 Abstract The surface physico-chemical properties of various kinds of surfactants (including cationic, anionic, nonionic and catanionic surfactants) in mixed ethanol–water solvents were investigated. In different surfactant systems, ethanol content influences the cmc and gcmc differently. It is found that the varying tendency of gcmc induced by ethanol addition can be predicted according to their saturation adsorption and gcmc values in water. For the systems with bigger saturation adsorption and smaller gcmc values in aqueous solutions without ethanol, their gcmc values rise with ethanol addition. For the systems with smaller saturation adsorption and bigger gcmc values in aqueous solutions, the ethanol effect on gcmc is opposite. On the other hand, for the influence of ethanol addition on the cmc of surfactant systems, the type of surfactant is important. In ionic surfactant systems, ethanol addition makes the cmc decrease followed by an increase. However, in the systems of nonionic or catanionic surfactants, ethanol addition just makes the cmc go up. © 1999 Elsevier Science B.V. All rights reserved. Keywords: Surface adsorption; Micellization; Surface tension; Ethanol – water mixture 1. Introduction In comparison with the amount of work done on the physical and chemical properties of surfactants in water and apolar solvents, the study of surfactants in polar non-aqueous solvents and their mixture with water is a rather limited field. Attention was drawn to this topic rather early [1], and micellization was found in a range of solvents including ethylene glycol [2], glycerol, formamide, various diols, formic acid [3] amides and DMSO [4], hydrazine [5], and low-melting fused salts [6]. * Corresponding author. However, there have been rather few systematic investigations on the correlation of solvent properties and surfactant aggregation. One early attempt trying to correlate the formation of micelles for a nonionic surfactant with a number of properties of some 20 different solvents was reported by Ray [3] with limited success. Efforts to follow the change in surfactant aggregation behavior when gradually and completely exchanging the water for a polar solvent are even more rare [4,7]. During the last 10 years, interests in studying the aggregation of surfactants in non-aqueous, polar solvents and mixed aqueous solutions have increased considerably. Several interesting papers 0927-7757/99/$ - see front matter © 1999 Elsevier Science B.V. All rights reserved. PII: S 0 9 2 7 - 7 7 5 7 ( 9 9 ) 0 0 0 0 3 - 5 340 J.-B. Huang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 155 (1999) 339–348 about surfactants in polar solvents and the mixtures of them with water have been published [8–10]. Most previous studies in mixed solvents were mainly on the surfactant micellization, however, it would be important to generalize and explain the surface physico-chemical properties and micellization phenomena of surfactants in mixtures of water and polar solvents for exploring the regularity and nature of the effect of polar solvent addition. The objective of this study was to investigate the influences of ethanol — a very popular polar solvent, on surface adsorption and micellization of various kinds of surfactant systems. The values of cmc, saturation adsorption(Gmax), minimum area per surfactant molecule (Amin), and surface tension at cmc (gcmc) of various surfactants in different ratios of ethanol – water mixtures were reported in this work. Regularity and explanation for the effects of ethanol addition on cmc and gcmc were discussed. Fig. 2. Surface tension of C10COONa system (pH 9.2, I = 0.13 mol kg − 1) in ethanol/water mixture with various volume ratios. (a) 0:1, (b)1:19, (c)1:5, (d)1:4, (e)1:2. 2. Materials and methods 2.1. Materials Fig. 1. Surface tension of C11COONa system (pH 9.2, I= 0.13 mol kg − 1) in ethanol/water mixture with various volume ratios. (a) 0:1, (b)1:19, (c)1:9 (d)1:4, (e)1:2. Sodium alkylcarboxylates (Cn COONa, n= 9,10,11) were prepared by neutralizing the corresponding carboxylic acid (Cn COOH) with NaOH in ethanol, then the solvent was removed and Cn COONa was vacuum dried. C9COOH was double distilled and C11COOH was recrystallized five times from an ethanol–water mixed solvent (m.p. 43–44°C). C10COONa was recrystallized three times from ethanol. Alkyltrimethyl ammonium bromides (Cm N(CH3)3Br m=8,10,12) were synthesized from n-alkyl bromide and tri-methyl amine. The crude products were recrystallized five times from an ethanol–acetone mixture. Sodium dodecyl sulfate (SDS) was the product of Beijing Chemical (A.R. grade) recrystallized five times from pure ethanol. Decylmethylsulfoxide, C10H21SOCH3 was synthesized and purified in the same way as used in reference [11]. The purity of all the surfactants was examined by surface ten- J.-B. Huang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 155 (1999) 339–348 341 sion measurement using drop volume method [12] and no surface tension minimum was found in their surface tension curves (g – log C). Ethanol was refluxed with magnesium scraps and iodine more than 2 h to remove the trace of water and then distilled. Deionized water was treated with KMnO4 and distilled. Other reagents were products of Beijing Chemical, A.R. grade. 2.2. Methods Surface tension measurements were made using the drop volume method [12]. The density of the ethanol–water mixtures needed for calculating the surface tension were measured with a DMA45 densitometer (Anton Paar K.G.A-8054, GRAZ, Australia). All the mixed ratio in ethanol–water mixture is volume ratio. The temperature of the experiments was kept at 309 0.05°C. Fig. 4. Surface tension of C10N(CH3)3Br system in ethanol/water mixture with various volume ratios. (a) 0:1, (b)1:19, (c)1:9, (d)1:4, (e)1:2. The pH values in the Cn COONa systems were controlled to 9.2 (by Na2B4O7·10H2O, 0.01 mol dm − 3) or 13 (by NaOH). The ionic strengths (I) in both of the Cn COONa and Cm N(CH3)3Br systems were controlled to 0.13 mol kg − 1(by NaBr or NaOH, respectively) to obtain the adsorption results. In 1:1 Cn COONa and Cm N(CH3)3Br systems, the pH values were controlled to 9.2 (by Na2B4O7·10H2O, 0.01 mol dm − 3) or 13 (NaOH). No pH or ionic strength adjustments in other surfactant systems were made. 3. Results Fig. 3. Surface tension of C12N(CH3)3Br system in ethanol/water mixture with various volume ratios. (a) 0:1, (b)1:19, (c)1:9, (d)1:4, (e)1:2, (f)1:1. The surface tension(g) versus logarithm of concentrations (log C) curves of various surfactants in ethanol–water mixtures are shown in Figs. 1–7. The values of critical micelle concentration 342 J.-B. Huang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 155 (1999) 339–348 (cmc), and surface tension at cmc (gcmc) of these systems can be determined from the inflection points in the g– log C curves. The adsorption of surfactants (G) was calculated according to the Gibbs adsorption equation G = −dg/RT d ln C, since the ionic strength and pH for Cn COONa systems were kept constant. For calculating the saturation adsorption(Gmax) the slopes of the straight parts of g – log C curves were taken for the dg/d ln C values in Gibbs equation. Then the minimum area per surfactant molecule (Amin) was obtained from the saturation adsorption by Amin =1/Gmax. The values of cmc, gcmc, Gmax and Amin are shown in Tables 1 – 8. The surface tensions in all the surfactant systems, in which the volume ratio of mixed solvents is 1:1, do not vary with the surfactant concentrations. Fig. 6. Surface tension of C10H21SOCH3 system in ethanol/water mixture with various volume ratios. (a) 0:1, (b)1:19, (c)1:7, (d)1:4, (e)1:2. Fig. 5. Surface tension of C11COONa system (pH 13, I =0.13 mol kg − 1) in ethanol/water mixture with various volume ratios. (a) 0:1, (b)1:19, (c)1:9, (d)1:4, (e)1:1. Fig. 7. Surface tension of 1:1 C11COONa – C12N(CH3)3Br system (pH 9.2) in ethanol/water mixture with various volume ratios. (a) 0:1, (b)1:9, (c)1:4, (d) 1:2, (e)1:1. J.-B. Huang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 155 (1999) 339–348 343 Table 1 The surface physico-chemical properties of C11COONa (pH 9.2, I =0.13 mol kg−1) in ethanol–water mixtures C2H5OH/H2O volume ratio cmc (mol dm−3) gcmc (mN m−1) 106 Gmax (mol m−2) Amin (nm2) 0:1 1:19 1:9 1:5 1:4 7.38×10−3 1.26×10−2 7.19×10−3 6.05×10−3 8.00×10−3 25.5 29.9 32.0 31.6 31.2 4.70 3.45 2.15 1.66 1.42 0.35 0.48 0.77 1.00 1.17 Table 2 The surface physico-chemical properties of C10COONa (pH 9.2, I =0.13 mol kg−1) in ethanol–water mixtures C2H5OH/H2O volume ratio cmc (mol dm−3) gcmc (mN m−1) 106 Gmax (mol m−2) Amin (nm2) 0:1 1:19 1:9 1:5 1:4 2.90×10−2 2.09×10−2 1.78×10−2 1.45×10−2 2.90×10−2 29.8 33.4 33.2 32.7 31.4 4.25 3.08 2.11 1.83 0.90 0.39 0.54 0.79 0.91 1.84 Table 3 The surface physico-chemical properties of C12N(CH3)3Br in ethanol–water mixtures C2H5OH/H2O volume ratio cmc (mol dm−3) gcmc (mN m−1) 106 Gmaxa (mol m−2) Amina (nm2) 0:1 1:19 1:9 1:4 1:2 1.66×10−2 1.38×10−2 1.58×10−2 3.31×10−2 4.37×10−2 38.4 37.1 33.9 32.5 28.7 3.45 2.53 2.01 1.08 – 0.48 0.66 0.83 1.54 – a The ionic strength was controlled to I = 0.13 mol kg−1 to obtain the adsorption data. 4. Discussion 4.1. Effect of ethanol on gcmc From Figs. 1 – 4 and Tables 1 – 4, we can find that the influences of ethanol addition on gcmc values in Cn COONa (pH 9.2, I =0.13 mol kg − 1) systems and Cm N(CH3)3Br systems are different. In Cn COONa (pH 9.2, I =0.13 mol kg − 1) systems, ethanol addition makes the gcmc go up, whereas, in Cm N(CH3)3Br systems, ethanol addition makes the gcmc decrease with the increase of the adding ethanol amount. However, ethanol addition makes gcmc decrease in both C11COONa (pH 13, I =0.13 mol kg − 1) and SDS systems (see Tables 5 and 8). The difference in ethanol effects on gcmc cannot be ascribed to the difference of surfactant types—anionic or cationic surfactants, since SDS is a kind of anionic surfactant, but after ethanol addition the gcmc changes similarly with that of the Cm N(CH3)3Br systems. Furthermore, even for the same surfactant C11COONa, the variation of pH (from 9.2 to 13) in the system makes the gcmc change oppositely after ethanol addition. Comparing the results in Tables 1–8, we can divide these systems to two groups. For group A, including C10H21SOCH3, 1:1 C11COONa– C12N(CH3)3Br and Cn COONa (pH 9.2, I=0.13 mol kg − 1) systems, ethanol addition makes the gcmc go up. On the other hand, for group B including Cn COONa (pH 13, I= 0.13 mol kg − 1), SDS and Cm N(CH3)3Br systems, the gcmc values decrease with the increase of the ethanol content (see Fig. 8). It can be seen that all the surfactants J.-B. Huang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 155 (1999) 339–348 344 Table 4 The surface physico-chemical properties of C10N(CH3)3Br in ethanol–water mixtures C2H5OH/H2O volume ratio cmc (mol dm−3) gcmc (mN m−1) 106 Gmaxa (mol m−2) Amina (nm2) 0:1 1:19 1:9 1:4 1:2 5.75×10−2 5.50×10−2 7.24×10−2 7.94×10−2 1.70×10−1 39.8 35.6 34.4 32.0 29.8 3.63 3.12 2.33 1.64 0.86 0.46 0.53 0.71 1.01 2.08 a The ionic strength was controlled to I = 0.13 mol kg−1 to obtain the adsorption data. Table 5 The surface physico-chemical properties of C11COONa (pH 13, I= 0.13 mol kg−1) in ethanol–water mixtures C2H5OH/H2O volume ratio cmc (mol dm−3) gcmc (mN m−1) 106 Gmax (mol m−2) Amin (nm2) 0:1 1:19 1:9 1:4 9.33×10−3 6.92×10−3 7.08×10−3 7.24×10−3 35.8 34.6 31.8 30.0 3.68 3.45 2.76 1.38 0.45 0.48 0.60 1.20 Table 6 The surface physico-chemical properties of C10H21SOCH3 in ethanol–water mixtures C2H5OH/H2O volume ratio cmc (mol dm−3) gcmc (mN m−1) 106 Gmax (mol m−2) Amin (nm2) 0:1 1:19 1:7 1:4 1:2 1.70×10−3 2.40×10−3 3.02×10−3 3.80×10−3 6.31×10−3 24.5 24.6 25.4 26.2 28.5 5.37 4.37 3.88 2.73 – 0.31 0.38 0.43 0.61 – in group A have bigger Gmax ( \4.25 ×10 − 6 mol m − 2) and lower gcmc ( B 34 mN m − 1) in water, and all the systems in group B have smaller Gmax and bigger gcmc in their aqueous solution without ethanol. for the systems investigated. Ethanol addition effect on gcmc of surfactant systems may come from two sides. Firstly, ethanol influences gcmc of surfactant systems by changing the property of solvents. The increase of ethanol content would reduce the average interaction between molecules of solvent, which would make the surface tension of the mixed solvents decrease (the surface tensions at ethanol/water volume ratio of 1:19, 1:9, 1:4, 1:2 and 1:1 are 61.3, 49.0, 39.5, 32.0 and 28.4 mN m − 1, respectively). This effect must induce a reduction of surface tension of the system, hence the gcmc values in surfactant systems tend to go down while ethanol content in the mixed solvents increases. Secondly, ethanol as a kind of surface active matter will adsorb at the air/solvent interface and compete the positions of surface layer with surfactants. Moreover, with increase of ethanol content, hydrophobic interaction between the hydrophobic groups of surfactants would be reduced, inducing weaker adsorption tendency of surfactants. Both of them make the adsorption of surfactant in ethanol–water mixture lower. This is really the situations for every system investigated. However, situations are not all the same for various surfactant systems. There are differences in composition and structure of surface phase between the two groups of surfactant systems. It is well known, surfactant molecules keep orientation in saturated J.-B. Huang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 155 (1999) 339–348 345 Table 7 The surface physico-chemical properties of 1:1C11COONa–C12N(CH3)3Br (pH 9.2) system C2H5OH/H2O volume ratio cmc (mol dm−3) gcmc (mN m−1) 106 Gmax (mol m−2) Amin (nm2) 0:1 1:9 1:4 1:2 6.80×10−4 7.90×10−4 2.34×10−3 1.00×10−2 22.2 23.5 26.2 26.9 5.21 4.60 2.59 1.81 0.32 0.36 0.64 0.91 Table 8 The gcmc values (mN m−1) of surfactant systems in different ethanol–water volume ratio Systems 0:1 1:19 1:9 1:4 1:2 SDS C12N(CH3)3Bra C10N(CH3)3Bra C9COONa–C10N(CH3)3Brb C11COONa–C8N(CH3)3Brb C10COONab 38.6 36.6 40.4 23.5 25.0 28.5 38.4 35.0 37.1 24.8 36.3 32.8 33.3 25.3 28.3 32.0 33.3 30.9 31.1 25.9 29.0 33.2 29.6 29.8 29.0 30.9 28.5 a b The ionic strength was controlled to I = 0.13 mol kg−1 to obtain the adsorption data. pH was controlled to 9.2 (by Na2B4O7·10H2O, 0.01 mol dm−3). adsorption layer, forming an area of polar group near water phase and an apolar area towards air. For the aqueous solutions of surfactants in group A, their Gmax are larger and Amin smaller than the counterparts of the surfactants in group B. It means that comparing with systems in group B, in the surface phases of systems in group A, water contents are smaller, the area ratios occupied by water to surfactants in the layers of polar group are smaller; and in the apolar part the outmost area ratio occupied by methyl to mythylene are larger. Surface tension of a liquid is mainly determined by the atoms and atomic groups forming the outmost layer of surface [13] and the contribution of CH3 to surface energy is less than that of CH2 and much less than that of water [14]. Therefore, systems in group A shows lower gcmc in water than that in group B. Schematic diagrams for the structures of surface phase of systems in groups A and B were shown in Fig. 9(a) and Fig. 10(a), respectively. As alcohol molecules partake in the surface layer, they would occupy the empty position of adsorption layer, i.e. that belonging to water originally, as well as substitute some of adsorbed surfactants. The first effect would decrease, while the second increase, the surface tension of solution for the reason explained in previous paragraph. In adsorption layer of the systems in group B, the area ratios occupied by water are larger, and the surfactant molecules compact more loosely than those in group A. Therefore, the first effect of ethanol addition on adsorption layer may be predominant for the systems in group B (see Fig. 9). In addition of the ethanol effect decreasing the surface tension of the solvent, it is understandable that the gcmc values decrease with the increase of ethanol content. On the other hand, the situation of systems in group A is different. Comparing with systems in group B, water contents in the surface phases of systems in group A are smaller, implying that the main mechanism for ethanol entering adsorption layer would be to compete the positions of surface layer with surfactants as surface active matter. Therefore, as the ethanol concentration goes up, more ethanol molecules participate in the interface layer displaying absorbed surfactants and the average area per surfactant molecule increase. Accordingly the area ratio occupied by mythylene to methyl in the outmost layer will gradually increase (see Fig. 10). Since the contribution of 346 J.-B. Huang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 155 (1999) 339–348 Fig. 10. Schematic diagram for the structure of surface phase of system in group A (a) without (b)with the participation of ethanol molecules in adsorption layer. Fig. 8. gcmc of the various surfactant systems as a function of x ethanol (ethanol mole fraction) in mixed solvents. (a) C10N(CH3)3Br, (b)SDS, (c) C12N(CH3)3Br, (d) C11COONa (pH 13, I= 0.13 mol kg − 1), (e) C10COONa (pH 9.2, I =0.13 mol kg − 1), (f) C11COONa (pH 9.2, I= 0.13 mol kg − 1), (g) C10H21SOCH3, (h) 1:1 C11COONa–C12N(CH3)3Br (pH 9.2). smaller saturation adsorption and higher gcmc values in aqueous solutions, the effect of ethanol addition is opposite (see Fig. 8). A convincing example is the different effects of ethanol addition on the systems of the same surfactant C11COONa but at different pH (9.2 and 13). At pH 9.2, the saturation adsorption of C11COONa is 4.70× 10 − 6 mol m − 2, and gcmc is 25.5 mN m − 1 and the system belong to group A according to the effect of ethanol addition. While the pH value increased to 13, the saturation adsorption down [15] to 3.68× 10 − 6 mol m − 2, and gcmc is 35.8 mN m − 1. and the system changes from group A to group B, based on the effect of ethanol addition. methylene group to surface tension is larger than that of methyl group, this effect must result in a higher gcmc for the systems of group A. According to the facts provided above, it is obvious that the variation of gcmc is not determined by the types of surfactants (cationic, anionic, nonionic or catanionic surfactants), but their saturation adsorption and gcmc values in aqueous solutions. For the systems with bigger saturation adsorption and smaller gcmc values in aqueous solutions, their gcmc values rise with the addition of ethanol. As for the systems with Fig. 9. Schematic diagram for the structure of surface phase of system in group B (a) without (b)with the participation of ethanol molecules in adsorption layer. . Fig. 11. Cmc of the ionic surfactant systems as a function of x ethanol (ethanol mole fraction) in mixed solvents. (a) C10COONa (pH 9.2), (b) C10N(CH3)3Br, (c), C10COONa (pH 9.2, I =0.13 mol kg − 1), (d) C12N(CH3)3Br. J.-B. Huang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 155 (1999) 339–348 347 addition may influence the gcmc values very little or make them go down in this kind of systems. 4.2. Effect of ethanol on the cmc Fig. 12. Cmc of the nonionic and 1:1 surfactant systems as a function of x ethanol (ethanol mole fraction) in mixed solvents. (a) C10H21SOCH3, (b) 1:1 C11COONa–C12N(CH3)3Br (pH 9.2). From Fig. 8 and Tables 1, 2, 6 and 7, we can see that there is still a small difference among the systems in group A. In C10H21SOCH3 and 1:1 C11COONa – C12N(CH3)3Br systems, ethanol addition makes the gcmc gradually increase. However, in Cn COONa (pH 9.2, I = 0.13 mol kg − 1) systems, the gcmc values increase very much while the ethanol concentration is low, but change little (or a little goes down) while the ethanol concentration is big. This may come from the effect of ethanol addition on the dielectric constants of mixed solvents. The dielectric constants of the mixed solvents will decrease with the ethanol concentration increase, which will enlarge the electrostatic forces between ions, resulting in that the hydrolysis equilibrium Cn COO − /H + =Cn COOH, in the Cn COONa systems move to more Cn COOH produced and the ratio of Cn COOH in adsorption layer will increase. This effect will increase the saturation adsorption and have a tendency to lower the gcmc at higher ethanol – water volume ratio. Therefore, it is reasonable that more ethanol . It is seen in Tables 1–7, ethanol addition influences the cmc of various surfactant systems also differently. In this case, the type of surfactants is very important. In ionic surfactant systems, the cmc values decrease then increase with the increase of ethanol concentration (see Fig. 11). This may be because that the ethanol addition has two effects: one on electrostatic interaction and the other on the property of solvent. When its concentration is relatively low, ethanol molecules will predominantly enter the polar area of micelle. This may lower the surface charge density of micelles, decrease the electrostatic repelling force between the ionic heads of surfactants in micelle and be advantageous to the micelle formation [16], resulting in smaller cmc values. However, when the ethanol concentration increases, the dielectric constants of the mixtures become lower and lower, as a result, the electrostatic force of the ionic head groups in micelle would increase. Furthermore, with the increases of ethanol concentration, the hydrophobic interaction between hydrophobic groups of surfactants was gradually reduced [3], i.e. the micellization potential decreases. These two effects must result in a higher cmc for ionic surfactant in mixed solvent of higher ethanol concentration. Thus, with the increase of ethanol content, the cmc values in ionic surfactant systems would have a minimum value versus the ethanol concentration. As for the nonionic or 1:1 mixed catanionic surfactant systems, similar to their adsorption layer, the surfactant molecules compact very close in micelles. Penetration of ethanol molecules into the micelles would be less, and the influence of ethanol on the formation of surfactant micelle through this mechanism would be limited. On the other hand, with the increase of ethanol content, the hydrophobic interaction between the hydrophobic part of surfactants will become weaker, which making cmc larger. As a whole, ethanol addition in these systems will make the cmc go up gradually (see Fig. 12). The results in 1:1 C11COONa–C8N(CH3)3Br and C9COONa– 348 J.-B. Huang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 155 (1999) 339–348 C10N(CH3)3Br systems also support this conclusion. Since there are many interactions such as hydrolysis equilibrium, mixed micellization and mixed solvent effect existing in the Cn COONa systems, The ethanol effect on the cmc of Cn COONa systems is very complex as shown in Tables 1, 2 and 5. Acknowledgements This project (29773004) was supported by National Natural Science Foundation of China. References [1] P.A. Winsor, Solvent Properties of Amphiphilic Compounds, Butterworths, London, 1954. [2] A. Ray, J. Am. Chem. Soc. 91 (1969) 6511. . [3] A. Ray, Nature 231 (1971) 313. [4] M.S. Singh, S.M. Saleem, R.P. Singh, J. Phys. Chem. 84 (1980) 2191. [5] M.S. Ramadanan, D.F. Evans, R. Lumry, J. Phys. Chem. 87 (1983) 4538. [6] D.F. Evans, A. Yamauchi, P. Roman, E.Z. Casassa, J. Colloid Interface Sci. 88 (1982) 89. [7] M. Ramadan, D.F. Evans, R. Lumry, J. Phys. Chem. 89 (1985) 3405. [8] D.F. Evans, D.D. Miller, in: S.E. Friberg, B. Lindman (Eds.), Organized Solutions, Marcel Dekker, New York, 1992, pp. 33 – 45. [9] K. Anand, O.P. Yadav, P.P. Singh, Colloids Surf. 55 (1991) 345. [10] K. Esumi, S. Ogiri, Colloids Surf. A 94 (1995) 107. [11] G.-X. Zhao, D.-M. Zhu, Colloids Surf. 33 (1988) 289. [12] B.-Y. Zhu, G.-X. Zhao, Hua Xue Tong Bao 6 (1981) 341. [13] B.-Y. Zhu, G.-X. Zhao, Jing Xi Hua Gong 2 (4) (1985) 1. [14] W.A. Zisman, in: F.M. Fowkes (Ed.), Contact Angle Wettability and Adhesion, vol. 43, Adv. in Chem. Ser, ACS, Washington, DC, 1964, p. 21. [15] J.-B. Huang, Colloid Polym. Sci. 273 (1995) 156. [16] G.-X. Zhao, Physical Chemistry of Surfactants (ch. 4), Peking University Press, Beijing, 1984.
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