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Colloid Polym Sci (2009) 287:1175–1181 DOI 10.1007/s00396-009-2079-z

ORIGINAL CONTRIBUTION

Micellization of sodium dodecyl sulfate and polyoxyethylene dodecyl ethers in solution Tejas Patel & Goutam Ghosh & Vinod Aswal & Pratap Bahadur

Received: 4 April 2009 / Accepted: 1 July 2009 / Published online: 22 July 2009 # Springer-Verlag 2009

Abstract The effect of polyoxyethylene type nonionic surfactants (C12En n=3, 4, 5, 6, 7 and 8) on the aqueous solution of sodium dodecyl sulfate (SDS) in absence and presence of NaCl was examined using small-angle neutron scattering (SANS), dynamic light scattering (DLS), and viscosity measurements. Upon addition of C12En, micellar size of SDS was found to increase significantly, and such micellar elongation was further enhanced in the presence of NaCl. Micellar growth is most significant in presence of shorter moieties of C12En (e.g., n=3, 4) as compared to higher ethereal oxygen content. The results of structural investigations with SANS and DLS to confirm this assumption are reported. The cloud point of C12En has increased upon addition of SDS and decrease with NaCl, and a typical behavior is observed when both SDS and NaCl were present. Keywords Sodium dodecyl sulfate . Polyoxyethylene dodecyl ethers . SANS . Micellar growth

T. Patel (*) : P. Bahadur Department of Chemistry, Veer Narmad South Gujarat University, Surat 395007, India e-mail: [email protected] G. Ghosh UGC-DAE Consortium for Scientific Research, Bhabha Atomic Research Centre, Trombay, Mumbai 400 085, India V. Aswal Solid State Physics Division, Bhabha Atomic Research Centre, Trombay, Mumbai 400085, India

Introduction The study of mixed micelles and monolayers is of considerable interest for both theoretical and practical reasons as mixed surfactant systems often provide improvement in the performance [1, 2]. Usually, marked interaction in ionic + nonionic surfactant mixtures has been observed which results in increase in cloud point of nonionics, decrease in Kraft point of ionics, increase in surface activity, and decrease in critical micelle concentration, each one contributing favorably to practical applications of surfactants [3]. Polyoxyethylene dodecyl ethers provide a systematic approach by variations in the hydrophobic/ hydrophilic character that influences surface properties and performance behavior to a great extent [4]. The availability of nonionics as research grade surfactants with varying moles of oxyethylene with low polydispersity provide a possibility for its application in both biochemical research and numerous technological applications. It provides opportunity to understand interaction of nonionic surfactants with ionic ones in mixtures [4]. There have been few recent reports on the mixed surfactant systems comprising of sodium dodecyl sulfate (SDS) and nonionic surfactants [5–13]. For example, Halide et al. [5], using viscosity measurements of mixed micelles composed of sodium dodecyl sulfate and polyoxyethylene dodecyl ethers (C12En with n=4, 10, and 23) in water and 0.1 M sodium chloride solution, showed that the relative viscosity varies at the mixed molar fraction of SDS, between 0.2 and 0.3, and then the relative viscosity of mixed systems decreases with the increasing mole fraction of SDS. Nettesheim et al. [6] have reported the influence of SDS on structure and rheological properties of aqueous solutions of C12E4. Joshi et al. [7] have reported the interaction between SDS and C12E12/C12E15 in water at

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different mole fractions (0–1) using surface tension, viscometry, and dynamic light scattering (DLS) measurements. Feitosa and Brown [8] have studied the solution properties of mixed micelles formed between the anionic surfactant sodium dodecyl sulfate and the nonionic surfactant pentaethylene glycol mono-n-dodecyl ether (C12E5) over a wide range of surfactant concentration and temperature by dynamic light scattering, surface tension, and clouding temperature, while Paulo et al. [9] studied the mixed micelles of sodium dodecyl sulfate and tetraoxyethylene dodecyl ether (C12E4 or Brij 30) by surface tension, zeta potential, and fluorescence spectroscopy measurements. However, the effect of nonionic head group on the formation and properties still remains to be completely clarified. In this context, we investigate the effect of the size of the surfactant head group, i.e., the chain length of oxyethylene (EO) of surfactants, and composition of nonionic polyoxyethylene dodecyl ether (C12En) on the micellization of aqueous anionic SDS. Our study is entirely different in which we have used viscometry, cloud point measurements, DLS, and small-angle neutron scattering (SANS) techniques to gain better understanding of the mechanisms of micellar growth.

Materials and methods Sodium dodecyl sulfate and nonionic surfactants polyoxyethylene dodecyl ethers (C12En, n=3, 4, 5, 6, 7 and 8) were from Fluka and used as received. The Kraft point and critical micelle concentration (CMC; at 30°C) of SDS were 8°C and 8.0 mM, respectively. The CMCs of C12En (at 25° C) and cloud points are in good agreement with the literature values [14].

always suspended vertically in a thermostat with a temperature stability of ±0.1°C in the investigated region. The viscometer was cleaned and dried every time before and after each measurement. The flow time for constant volume of solution through the capillary was measured with a calibrated stopwatch. Dynamic light scattering The DLS experiments were carried out in a homebuilt set up. The incident beam is generated from a vertically polarized 100 mW He–Ne laser source (λ=532 nm) fixed at one arm of a goniometer. The scattered beam is passed through a vertical polarizer and counted by a photomultiplier tube (PMT) at 90°, mounted on the other arm of the goniometer. Mixed polymer–surfactant solutions were equilibrated for 8 h before measurement. Surfactant solutions were filtered through 0.22-μm filter papers (Millipore) and loaded into an optical quality 8 mm diameter cylindrical quartz cell, which was placed inside a borosilicate cuvette consisting of index matching liquid (trans-decalin) and aligned with the axis of rotation of the goniometer. Scattered photocurrent from PMT was suitably amplified and digitized before it was fed to a channel digital correlator (7132 correlator with 4700 autosizer software, Malvern, UK). Details about the setup could be seen elsewhere [15]. All measurements were carried out at 30°C. The average decay rate (Γ) of the electric field autocorrelation function, g1 (τ), was estimated using the method of cumulants [16]. The apparent diffusion coefficients (D) of the micelles were obtained from the relation, Γ ¼ D q2

ð1Þ

Where q is the magnitude of the scattering vector, given by

Surfactant Cloud point (°C) CMC (mM)

C12E3 99.4% atom% D) was obtained from heavy water division of Bhabha Atomic Research Centre, Trombay. The micellar solutions of 50 mM SDS were prepared in H2O (or D2O for SANS measurements) in presence of 0, 0.1, 0.25, 0.5 and 1 M NaCl and varying concentration of nonionic C12En Viscosity The viscosities were measured using an Ubbelohde suspended level capillary viscometer. The viscometer was

q ¼ ½4pn sinðq=2Þ=l

ð2Þ

n being the refractive index of the solvent, λ the wavelength of laser light, and θ the scattering angle. The corresponding hydrodynamic diameters (d) were calculated using the Stokes–Einstein relation. For all the solutions, Γ varies linearly with q2 indicating translational diffusion of the scatters. Small-angle neutron scattering The small-angle neutron scattering experiments were performed using a diffractometer at the Dhruva reactor, BARC, Trombay, India [17]. The data were normalized to a cross-sectional unit using standard procedures. The scattering cross section per unit volume measured as a

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function of scattering wave vector can be expressed as [18], dΣ ¼ nðrm  rs Þ2 V 2 dΩ

hD

i E FðQÞ2 þ hFðQÞi2 ðSðQÞ  1Þ þ B ð3Þ

where n denotes the number density of micelles, and ρm and ρs represent scattering length densities of the micelle and the solvent, respectively. V is the volume of the micelle. F(Q) and S(Q) are the form factor and structure factor, respectively, and B represents incoherent scattering background due to hydrogen atoms in the solvent. The single particle form factor has been calculated by treating the micelle as prolate ellipsoidal. The corresponding form factor is given by [19]. 

 F 2 ðQÞ ¼

Z1 h

F ðQ; mÞ2 dm

i

ð4Þ

Fig. 2 Viscosity behavior of 50 mM SDS in 0.1 M NaCl in presence of C12En at 30°C. Squares C12E3, circles C12E4, triangles C12E5, inverted triangles C12E7, diamonds C12E8

0

ð7Þ

where a and b are the semi major and semi minor axes, respectively, and μ is the cosine of angle between the directions of a and wave vector Q. The inter-particle structure factor S(Q) for ellipsoidal micelles is calculated using mean spherical approximation as developed by Hayter and Penfold [20]. In SANS data analysis, semi-minor axis (a), semi-major axis (b), and effective fractional charge per head (α) are taken as fitting parameters. The aggregation number is calculated by the relation N = 4πab2/3v, where v is the volume of the surfactant tail.

Fig. 1 Clouding behavior of 50 mM C12E7 in different concentrations of NaCl in presence of SDS. Squares H2O, circles0.1 M NaCl, triangles 0.25 M NaCl, inverted triangles 0.5 M NaCl, diamonds 1.0 M NaCl

Fig. 3 Hydrodynamic diameters values for 50 mM SDS in 0.1 M NaCl in presence of C12En at 30°C. Squares C12E3, circlesC12E4, trianglesC12E5, inverted trianglesC12E7, diamondsC12E8

2 1 32 Z hFðQÞi2 ¼ 4 F ðQ; mÞdm5

ð5Þ

0

F ðQ; mÞ ¼

3ðsin x  x cos xÞ x3

  1=2 x ¼ Q a2 m 2 þ b2 1  m 2

ð6Þ

1178 Table 1 Micellar parameters of 50 mM SDS in 0.1 M NaCl in presence of 40 mM C12En for n=3, 4, 5, 7, and 8 as obtained from the DLS data analysis at 30°C. The radius of each aggregate was taken as r=16.7Å

Colloid Polym Sci (2009) 287:1175–1181 Number

Aggregation number N

Experimental value of Rh (Å)

Calculated length of rod (Å)

SDS 3 4 5 7 8

75 1277 870 351 183 170

16.7 98.0 59.1 49.1 28.7 25.0

– 518.3 176.6 142.4 74.5 69.2

Results and discussion

Viscosity and DLS measurements

Clouding behavior The cloud points (CPs) of nonionic surfactants solutions (50 mM) in water and salt solutions in the presence of SDS were measured. A representative figure for C12E7 is shown in Fig. 1. It can be seen that CP shows a sharp increase on addition of little amount of SDS. The CP increases to 100° C at SDS concentration as low as 1 mM. The addition of ionic surfactant to micelles of C12E7 micelles results in formation of mixed micelles with some surface charge. This will result in charge repulsion between the micelles, hindering their aggregation and coacervation to subsequently increase the CP. Addition of NaCl provides a pronounced minimum in the CP value. Earlier reports [21, 22] have investigated mixed micellization of Triton X-100 + SDS. This is due to the fact that with presence of NaCl, the original charge distribution of the mixed micelles is screened; therefore, more amount of nonionic surfactant is required to attain CP in presence of added salt.

The viscosity and the DLS measurements were performed under identical conditions with aqueous solution of SDS fixed at 50 mM and varying concentrations of nonionic C12En surfactants (0–60 mM). Figure 2 shows the relative viscosity, ηrel, of 50 mM SDS solutions, in presence of 0.1 M NaCl, as a function of C12En for n=3, 4, 5, 7, and 8. The viscosity remained unchanged up to 30 mM, and only a slight increase was observed at higher concentration for C12E7 and C12E8 with long polyoxyethylene moieties. On the other hand, significant increase in ηrel was observed for surfactant with shorter EO chain length, e.g., for n=3, 4, and 5, where C12E3 was the most effective, and the solution became highly viscous above 25 mM. In Fig. 3, from DLS experiments, the change in hydrodynamic diameter, Dh, in above solutions with addition of C12En are shown as measured. Here also, the micellar hydrodynamic diameter (Dh) increases where the relative viscosity increases as discussed above. Therefore, increase in viscosity signifies the increase in frictional

Fig. 4 Viscosity behavior of 50 mM SDS at different concentrations of NaCl in presence of C12E4 at 30°C. Squares 0.1 M NaCl, circles 0.25 M NaCl, triangles 0.5 M NaCl, inverted triangles 1.0 M NaCl

Fig. 5 Change in hydrodynamic diameters for 50 mM SDS in different concentrations of NaCl in presence of C12E4 at 30°C. Squares 0.1 M NaCl, circles 0.25 M NaCl, triangles 0.5 M NaCl, inverted triangles 1.0 M NaCl

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Fig. 6 SANS plot for 50 mM SDS in 0.1 M NaCl in presence of 50 mM C12En at 30°C. Triangles C12E3, squares C12E5, circles C12E8

force at the interface between micelle and water which essentially is due to the unidirectional growth of the micelle [23]. Using an own developed MATLAB program for “free search” of shape based on the input experimental values of hydrodynamic diameter (Dh), we analyzed the micellar shape for all concentrations and molecular moieties of C12En applying different shape relationships, like Perrin's relations for ellipsoids and Broesmer's relation for rod [24]. In doing so, we have considered the inter-micellar interaction to be negligible. In Table 1, we have shown the structural parameters for pure 50 mM SDS and complexes of 50 mM SDS and 40 mM C12En with n=3, 4, 5, 7, and 8 in presence of 0.1 M NaCl, as obtained from above analyses. These results clearly indicate that the micelle of SDS transforms from a spherical to a rodlike shape upon addition of C12En. The transformation is more significant if the shorter polyethylene chain length of C12En (e.g., for n≤5), i.e., for higher lipophilic/lipophobic ratios (R). This result is significant as R has a contribution to the Gibbs' free energy of micellization. Hence, both viscosity and DLS results are in consistent with each other. The Dh in DLS results show a plateau at higher concentrations of C12En, which is not observed from viscosity results. This could be interpreted in terms of its partitioning in aqueous phase, which affects the water structure and causes some sort of destabilization of the micelle. Because of partitioning, the concentration of C12E3 at micelle–water interface would increase the size of the micelles, while aqueous partitioning would decrease the size. These two opposite tendencies may impart a near constancy to the Dh values at higher [C12E3]. It is to be

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noted here that the effect of C12En on cationic micelles is much stronger [25] as compared to SDS micelles. Also, the appearance of the plateau region at higher concentration of C12En in SDS is not as clear as in case of cationic micelles. These facts may indicate that the intramicellar binding in SDS micelles are relatively stronger than those of cationic surfactants. The viscosity and DLS measurements for above mixed systems were also performed at varying NaCl concentrations. The effect of NaCl on the size of SDS micelles in 50 mM solution in presence of C12E4 is shown in Figs. 4 and 5. As depicted from Fig. 4, the viscosity increases sharply with increase in NaCl concentration, attributed to the sphere-to-rod transition of micelles [25, 26]. The viscosity of 50 mM SDS solution in presence of 0.1 M NaCl remains almost unchanged up to 50 mM C12E4, beyond which the value increased slightly. As the NaCl concentration (say, 0.25 M) was increased in the solution of mixed SDS and C12E4, the viscosity was also seen to increase, which could be due to the micellar growth, and the value suddenly increased at higher NaCl concentrations (i.e. above 0.5 M), indicating a sphere-to-rod transition in the micellar structure. Viscosity result is also supported by DLS measurements, as shown in Fig. 5, where a sharp increase in size (Dh) at higher NaCl concentration is observed. The presence of NaCl induces intake of surfactant molecules in the micellar core. The charge neutralization on head group decreases the repulsion at the shell region. This creates hydrophobic environment to facilitate accumulation of surfactant molecules and increase the size.

Fig. 7 SANS plot for 50 mM SDS in 10 mM C12E4 at 30°C. Squares 0.1 M NaCl, circles 0.25 M NaCl, triangles 0.5 M NaCl, diamonds 1.0 M NaCl

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Table 2 Micellar parameters of 50 mM SDS in 0.1 M NaCl in presence of 50 mM C12En as obtained from the SANS data analysis at 30°C [C12En] (mM)

Aggregation number N

Semimajor axis a (Å)

Semiminor axis b=c (Å)

Fractional charge

C12E3 C12E5 C12E8

554 364 150

132.5 87.5 35.3

18.7 18.7 18.8

0.05 0.14 0.33

Small-angle neutron scattering Small-angle neutron scattering measurement was carried out on the aqueous solution of SDS/C12En mixture in order to provide a supportive structural evidence for the DLS and viscosity data. SANS results for 50 mM SDS in 0.1 M NaCl in presence of 50 mM C12En at 30°C are shown in Fig. 6. The SANS profiles showing the effect of different concentration for NaCl in 50 mM SDS in 10 mM C12E4 are shown in Fig. 7. It is clearly observed that, on addition of C12En, the scattering intensity increases drastically, which indicates micellar growth. SANS results show the large scattering cross section for SDS in the low-Q region indicating the strong effect of C12E3 in inducing the growth of micelles. The axial ratio attains almost constant value at higher concentration of additive, which is in good agreement with the DLS results discussed earlier. As shown in Table 2, the aggregation number for SDS micelles shows a dramatic increase in presence of C12E3. While in case of higher CnEm, the tendency to induce micellar growth was found to decrease with increase in size of polyoxyethylene moiety. This phenomenon can be explained in terms of their relative solubility in water. Increase in polyoxyethylene segment adds to solubility of a certain CnEm in aqueous phase. We would like to point out here that the aggregation numbers obtained from DLS data analyses (Table 1) significantly match with those obtained from SANS data analyses, which indicates the consistency of the technique. Among the nonionics examined, C12E8 with large oxyethylene units has highest solubility in water, while C12E3 has poor solubility due to lesser content of oxyethylene. C12E3 tries to get solubilized in the inner core region and induces micellar growth. The higher oxyethylene chain forces the nonionic surfactant to remain in aqueous solution, away from hydrophobic micellar core

Table 3 Micellar parameters of 50 mM SDS in 10 mM C12E4 in presence of different concentrations of NaCl as obtained from the SANS data analysis at 30°C

[NaCl] (M) 0.1 0.25 0.5 1.0

region. The extent of influencing the micellar size was found in order of C12E3 >C12E5 >C12E8. In Table 3 are recorded micellar parameters for 50 mM SDS in presence of 10 mM C12E4 at different salt concentrations. It can be seen that aggregation number increases gradually with increase in salt concentration. This can easily be understood in terms of charge neutralization at the shell that subsequently reduces the repulsion between the head groups, and resultant induction of hydrophobicity allows aggregation of more surfactant molecules. The fractional charge was calculated for SDS aggregates in presence of 0.1 M NaCl which showed lesser value (0.29) in comparison to salt-free solution due to charge neutralization. In presence of higher content of salt, the large sizes of micelles are found to be due to neutralization of charge at the head group. It is difficult to calculate this decrease in the fractional charge of the micelles at higher salt concentrations since no correlation peak is observed as a result of the strong screening of the charge between the micelles. In these systems, data are fitting considering S(Q)~1.

Conclusion We have studied the effect of polyoxyethylene type nonionic surfactants (C12En n=3, 4, 5, 6, 7, and 8) on the aqueous solution of SDS in absence and presence of NaCl using SANS, DLS, and viscosity measurements. Viscosity and DLS results are qualitatively supported by SANS measurements. Addition of C12En induces micellar elongation of SDS which is further enhanced in the presence of NaCl. Micellar properties (elongation) can be easily tuned by either increasing the C12En concentration or by a decrease in n (smaller headgroup size) at a fixed concentration of C12En indicating that the lipophilic

Aggregation number N

Semimajor axis a (Å)

Semiminor axis b=c (Å)

162 304 426 565

44.5 83.2 148.9 150.8

17.5 17.5 17.6 17.7

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contribution inside the aggregate plays a major role in the growth of micelle. In addition to this, it is also possible to achieve this by increasing the temperature at a fixed composition. It is interesting to point out that such sharp mixed systems may have a huge capability as a smart material. Acknowledgment Financial assistance from CSIR project no. 01 (2068)/06/EMR-II is gratefully acknowledged.

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