A Research on the Micelization of Anionic Surfactant- Sodium Dodecyl Sulfate (SDS): Some Methods

The effects of temperature on the micellization of anionic and cationic surfactants

by Nisha .*, Dr. Praveen Kumar,

- Published in Journal of Advances and Scholarly Researches in Allied Education, E-ISSN: 2230-7540

Volume 14, Issue No. 2, Jan 2018, Pages 952 - 960 (9)

Published by: Ignited Minds Journals


ABSTRACT

In the present study, we investigate the self-association and mixed micellization of an anionic surfactant, sodium dodecyl sulfate (SDS), and a cationic surfactant, cetyltrimethylammonium bromide (CTAB). The critical micelle concentration (CMC) of SDS, CTAB, and mixed (SDS + CTAB) surfactants was measured by electrical conductivity, dye solubilization, and surface tension measurements. In this paper, the micellization of anionic surfactant sodium dodecyl sulphate (SDS) and cationic surfactant Ndodecylpyridinium chloride (DPC) in aqueous solution at various temperatures has been reported using conductivity measurements. The results show that the CMC of surfactants decreases to reach a minimum and then increases with temperature.

KEYWORD

micelization, anionic surfactant, sodium dodecyl sulfate (SDS), self-association, mixed micellization, cationic surfactant, cetyltrimethylammonium bromide (CTAB), critical micelle concentration (CMC), electrical conductivity, dye solubilization, surface tension measurements, Ndodecylpyridinium chloride (DPC), aqueous solution, temperatures

INTRODUCTION

The anionic surfactant SDS was obtained from SRL(India). It was of AR grade and was refined by recrystallization from water ethanol blend. PEGs of various chain lengths were items from E. Merck (India). They were of AR grade and were utilized as got. Twofold refined water was utilized all through the analyses. AR grade pyrene from Sigma Chemicals (USA) was utilized as test in spectrophotometric estimations. Every one of the examinations were conveyed at 298 K utilizing a thermostated water shower with a precision of T 0.5 K. Surface strain estimations were performed utilizing a du Nou¨ y tensiometer (Jancon, Kolkata, India). 15–20 times concentrated arrangement in water (or in proper water=PEG mixed frameworks) than the CMC (expected) was added to 20 ml of water (or suitable measure of water=PEG blend ture) utilizing a Hamilton microsysinge. Water (or aquo-PEG blend) was kept in a thermostated coat. It was homogenized by a Teflon covered attractive bar, and after that equilibrated for in any event 15 minutes before taking the perusing. CMCs were resolved from the breakpoint in the plot of surface strain (c) versus log C (surfactant concentration). Conductivities of surfactant arrangements of fluctuating concentrations were resolved along these lines utilizing a Systronics 306 direct perusing conductivity meter (Systronics India Ltd., India). CMC was resolved from the breakpoints of the plots of the conductance versus surfactant fixation. An UV-Visible spectrophotometer UVD-2950 (Labomed Inc., USA) was utilized for the ghostly estimations of 2.0 m mol dm3 pyrene arrangement. At first a 1.0 mmoldm3 pyrene arrangement was set up in outright ethanol. At last, a 2.0 m mol dm3 arrangement was acquired by legitimate weakening and sonication for 30 minutes. The last arrangement contained 0.5 % (v=v) liquor, which scarcely had any impact on the micellization of the surfactant.[16] The 2 m mol dm3 pyrene solution=dispersion was inside its solvency limit.[17] A 2 m mol dm3 pyrene arrangement in nearness of SDS showed four noteworthy pinnacles viz., at 242, 272, 320, and at 336 nm separately. They were as per the prior announced values.[16] Spectra of pyrene in nearness of changing measures of SDS are all around revealed and thus not exhibited to spare space. Total of the forces of the real crests (AT) was plotted against the SDS focus. AT versus [SDS] plots, in nearness and nonattendance of PEG in water, were sigmoidal in nature (to be indicated later). The information were then fitted with the Sigmoidal-Boltzman condition which prompted the assurance of the CMC of SDS (under differing conditions) as indicated by the accompanying formula. where x is the surfactant fixation, ai and af are the underlying and last asymptotes of the sigmoidal bend respectively. x0 is the focal point of the sigmoid (in this the CMC) and Dx is the interim of the

CTAB was acquired from Sigma–Aldrich (USA). It was expressed as being over 99% unadulterated and was utilized as got. EG-oligomers, viz, PEG 200, 300, 400, 600, 1,000, 1,500, 2,000, 4,000 and 6,000 were items fromE. Merck (India). They were of AR grade and were utilized moving forward without any more filtration. AR grade pyrene from Sigma–Aldrich (USA) was utilized as the test in spectrophotometric estimations. Twofold refined water with a particular conductance of 2–4 lS cm-1 was utilized during the trials.

DETERMINATION OF THE CRITICAL MICELLE CONCENTRATION (CMC)

The CMC of CTAB was resolved in the nonattendance and nearness of EG-oligomers. Distinctive PEG-water (0, 1, 2.5, 5, 10, 15 and 20 wt%, separately) mixed solvents were utilized as the media for such examinations. Higher centralizations of PEG in water couldn't be utilized for down to earth constraints. The arrangement ended up sticky when higher convergences of PEG were utilized which meddled with surface pressure estimations. What's more, the arrangement turned out to be exceptionally thick which influenced the conductivity of CTAB. Three strategies, viz. tensiometry, conductometry and spectro-photometry were utilized in deciding the CMC. Surface strain estimations were performed utilizing a du Nou¨ y tensiometer with a precision of ±0.1 mN m-1 (Jancon, Kolkata, India) following the standard system. Surface strain estimations were performed fol-lowing the customary strategy. The CMC was deflect mined from the break purpose of the plot of surface pressure (c) versus logC (surfactant focus) as appeared in Fig. 1a. Conductance of aqueous CTAB arrangement (or in aqueous-PEG media) was recorded utilizing a Systronics 306 direct perusing conductivity meter of an exactness scope of 0.1 lS–100 mS, ±1% of F. S. ±1 digit (Systronics India Ltd., India). Conductance estimations were additionally performed by the standard strategy. The CMC was stop mined from the breakpoint of the plot of conductance versus surfactant focus as appeared in the Fig. 1b. An UV-Visible spectrophotometer (UVD-2950, Labomed Inc., USA) was utilized in account the otherworldly information of2.0 mol dm-3 pyrene (Py) in water. At first a 1.0 mmol dm-3 Py arrangement was set up in got dried out ethanol lastly, a 2.0 lmol dm-3 arrangement was gotten by legitimate weakening and sonication for thirty minutes. The last arrangement contained 0.5% (v/v) liquor, which barely had any impact on the micellization of the surfactant. The1.2.0 lmol dm-3 Py arrangement/scattering in water was inside its solvency limit [48]. A 2.0 lmol dm-3 pyrene arrangement in nearness of aqueous CTAB showed four noteworthy pinnacles, viz., at 242, 272, 320 and 336 nm, separately. They were as per the prior revealed values. Spectra of pyrene in nearness of

Fig. 1 Variation of (a) surface tension (c); (b) specific conductance

(j) and (c) AT with CTAB focus in aqueous-PEG 400 mixed dissolvable frameworks at 298 K. PEG fixation (in wt%): open square, 0; open circle, 5 and open triangle, 10 against the CTAB focus as appeared in Fig. 1c. AT versus [CTAB] plots, in the nearness and nonappearance of PEG in water, were sigmoidal in nature. The information were then fitted with the Sigmoidal-Boltzmann condition which prompted the assurance of the CMC of CTAB (under fluctuating con-ditions) as indicated by the accompanying recipe: where x is the surfactant fixation, ai and af are the underlying and last asymptotes of the sigmoidal bend, separately, x0 is the focal point of the sigmoid (thus the CMC) and Dx is the interim of the autonomous variable x. Microcal OriginTM programming itself decides the estimation of the x0 (in this the CMC). The consistency of aqueous CTAB micelles of fluctuating con-centrations in the nonappearance and nearness of PEGs were resolved utilizing a DV II-Pro viscometer with a thickness precision of ±0.01 cP (Brookfield, USA). Thickness was estimated at various shear rates (extending from 61 to 108 s-1) for all PEGs of various focuses (shear rate was restricted inside 15–61 s-1 for arrangements containing 20 wt% PEG 6000). Zero shear thickness was resolved from the capture of the plot of evident consistency versus shear rate. As the polymers themselves were gooey, so as to see the resultant impact of the polymers on the micellar totals (the other way around), the consistency of the micellar solu-tions in aqueous-PEG media were standardized with the thickness of the medium without CTAB. Temperature was controlled using a thermostated water bath with an accuracy of ±0.1 K.

SIZE AND ZETA POTENTIAL MEASUREMENT

The hydrodynamic distance across (dh) and zeta potential (ZP) estimations of aqueous CTAB micelles in nearness of differing centralization of PEGs (wt%) and molar mass were performed utilizing a Nano ZS-90 (Malvern, U.K.) dynamic light dispersing spectrometer. The micellar arrangements were equilibrated for 2–3 h before estimation. Arrangements were separated cautiously through a 0.45-lm MilliporeTM mem-brane channel stacked into a round glass opening (PCS8501, Malvern, UK) cell of 1.0 cm optical way length for mea-surement. A He–Ne laser of 632.8 nm was utilized as the light source, while the dissipating edge was set at 90°. Zeta potential estimations were performed utilizing a collapsed slim cell (DTS1060, Malvern, UK) made of polycar-bonate with gold plated beryllium/copper anodes. One cell was utilized for a solitary arrangement (a specific wt% of a specific PEG) of estimation. Just post-micellar con-centrations (5, 10, 15, 20 and 25 mmol dm-3) of CTAB were utilized in the consistency, size and zeta potential mea-surements. PEG 200, PEG 400, PEG 600, PEG 1000, PEG 4000, PEG 6000 were utilized for such examinations. Lower sums (1 and 2.5 wt%) of PEGs were abstained from during the thickness, size and ZP estimations, as the varieties in the lower reaches were not noteworthy. Thickness, refractive record and dielectric steady estimations of water-PEG-mixed solvents were utilized during size and zeta potential mea-surements by the dynamic light dissipating strategy. The surfactants (customary, cationic geminis (16–s–16, 14–s–14; s = 4, 5, 6) and hydrotropes utilized in the present investigation are given in the Table 1, which likewise incorporates their shortened form, substance equation, make and virtue. The gemini surfactants were set up in the research center utilizing the methodology given underneath.

SURFACTANTS

There are two principle factors which are significant in their planning: one is combination and other is sanitization. The bis(quaternary ammonium) surfactants were synthesized by embracing the accompanying plan and the strategy sketched out in literature.Br (CH2)S Br + 2CnH2n+1–N(CH3)2

Scheme 1: Synthesis of the cationic Gemini surfactants. A 1:2.1 comparable blend of relating α, ω–dibromoalkane with N, N–dimethylalkylamine in dry ethanol was refluxed (at 80 oC) for 48h. The advancement of response was checked utilizing TLC procedure. Toward the end, the dissolvable was expelled under vaccum from response blend and the strong along these lines got was recrystallized a few times from hexane/ethyl acetic acid derivation blend to get the compound in unadulterated structure. The general yield of the surfactants extended from 70–90%.

Table 1: Names, structural formulas and purity of chemicals used

The immaculateness of the gemini surfactants is basic as the surface movement can be changed

the qualities acquired were fulfilling, which demonstrated that the surfactants were all around filtered.

PREPARATION OF SOLUTIONS

The water used to plan arrangements was refined twice over soluble KMnO4 on the whole glass (Pyrex) refining arrangement. Explicit conductivity of the twofold refined water was in range (2–4) x 10-6 S cm-1. Unique consideration was taken for cleaning the crystal with chromic corrosive and afterward by washing with twofold refined water.

INSTRUMENTATION

1. Conductance measurements

The basic micelle fixation (CMC) was dictated by this strategy. The conductance estimations were taken on Systronic conductivity meter 306, utilizing two distinctive plunge cells with cell constants (0.1 and 1.02 cm−1). The investigations were performed at various temperatures by coursing water through a jacketed cell holding the arrangement under examination. Equimolar stock arrangements of the hydrotropes and gemini surfactants were set up in twofold refined water and afterward wanted mole parts were acquired by blending precalculated volumes of the stock arrangements. The conductivity at every mole portion was estimated by progressive expansion of gathered arrangement in unadulterated water. The crossing point of two direct portions, relating to the pre–and post–micellar structures, acquired from the plots of explicit conductance (κ) versus the [concentration], was taken as CMC. The level of counterion authoritative (g1) was resolved from the proportion of the slants of the conductivity isotherms above and underneath the CMC.

2. Tensiometric measurements

The tensiometric estimations were performed utilizing a platinum ring by the ring separation strategy with a Kruss tensiometer Model K11 MK3. Unadulterated nonionic hydrotrope fixation was fluctuated by including concentrated hydrotrope arrangement and the readings were noted after intensive blending and temperature equilibration. Temperature was kept up by coursing water from an Orbit RS10S indoor regulator. The MHC‟s were dictated by noticing articulation in the γ versus logarithm of hydrotrope focus is otherms.

3. H NMR measurements

H NMR spectra of the synthesized geminis were recorded on 300 MHz Bruker Avance NMR spectrometer (Central Drug Research Institute, Lucknow) in CDCl3 with 1H substance movements in respect to inside standard TMS.

Fig. 2: 1H NMR spectrum of 14–4–14 in CDCl3

Fig. 3: 1H NMR spectrum of 14–5–14 in CDCl3.

Fig.4 1H NMR spectrum of 14–6–14 in CDCl3. Fig. 5 : 1H NMR spectrum of 16–4–16 in CDCl3. Fig. 6 : 1H NMR spectrum of 16–5–16 in CDCl3.

Fig. 7: 1H NMR spectrum of 16–6–16 in CDCl3.

In the viable fields, surfactants are constantly utilized with added substances, (for example, surfactants, organics, polymers, salts, and so forth.). In such manner, the properties of surfactant–surfactant blends have been contemplated in incredible detail all things considered blends frequently show better execution (synergism) than the individual surfactants.1-6 Considerable hypothetical work is accessible for investigation and examination of the test results.7 Analogously, the hydrotropic–surfactant blends have additionally pulled in premium, particularly because of their some significant applications, for example, heat–move liquids, drag decrease specialists, breaking liquids in oil fields, individual consideration items, and layouts for material synthesis.8-11 The present investigation centers around the micelle conduct of SDS and SDBS affected by ionic hydro tropes aniline hydrochloride (AHC), sodium salicylate (NaSal) and nonionic hydrotropic resorcinol (Re) towards the nitty gritty portrayal of physicochemical properties of hydro figure of speech/anionic surfactant frameworks with specific accentuation on the impact of temperature. The part exhibits a precise investigation of micellar properties of the previously mentioned frameworks utilizing the strategy of conductometry. The distinctions in the head gatherings of SDS and SDBS which have same chain length has showed intriguing arrangement and interfacial conduct. The CMC esteems were evaluated from the plots of explicit conductance (κ) versus the grouping of surfactant. The conductivity at every mole part was estimated by progressive expansion of concentrated arrangement of hydrotrope–surfactant blend in unadulterated water. The convergence of two straight fragments, relating to the monomeric and micellar types of the surfactant, was taken as CMC. The CMC‟S of unadulterated surfactants SDS and SDBS concur well with the writing esteems at various temperatures.

EFFECT OF TEMPERATURE ON THE CMC

Tables record the temperature reliance of CMC of the mixed frameworks. The CMC estimations of surfactants are known to demonstrate a complex conduct with temperature: CMC of non–ionic surfactants diminishes with expanding temperature as ionic surfactants for the most part goes through a base with expanding temperature.15 However, the writing additionally contains results indicating nonstop increment in CMC with temperature.16,17 Our outcomes likewise show constant increment in CMC. Increment in temperature expands the warm fomentation in the arrangement which causes a reduction in attachment among the monomers. At a fixed temperature, the CMC worth is administered by two contradicting powers: (1) van der Waals powers between the hydrophobic piece of an amphiphile that balances out the micelles, and (2) hydration of hydrophilic part that destabilizes the micelles. Increment in temperature influences micellization in two distinct ways: increment in parchedness and increment in warm solvency of the amphiphiles. Hydrotrope–surfactant mixed micelle arrangement The blending conduct of the hydrotrope–surfactant frameworks is relied upon to be not the same as those of surfactant–surfactant or surfactant–salt blends as the hydrotropes tie to the surfactant head–bunches firmly. Likewise, because of the little hydrophobic moiety in their structure, the hydrotropes communicate with the surfactants hydrophobically as well. The CMC esteems decided from the κ versus [surfactant] plots are observed to be lower than the CMC of both of the unadulterated parts indicating deviation from ideality. Mixed hydrotrope–surfactant frameworks in water experience a few physico–concoction changes because of collaboration among amphiphiles and yield improved micellar properties. A complex parity of intermolecular powers is in charge of the development of mixed micelles when hydrotropes and surfactants are in a similar arrangement. So as to research the ideality of the mixed micelles, we have utilized the Clint condition, in view of the pseudophase thermodynamic model.18 This condition can be composed as where I and CMCi are the stoichiometric mole portion and CMC of ith segment under the comparable test conditions. For the parallel hydrotrope–surfactant frameworks, the condition progresses toward becoming.

1

and surfactant,respectively. The CMCid is the hypothetical perfect mixed CMC considering no cooperation between the two parts and CMC1 and CMC2 are the basic micelle convergences of the hydrotrope and surfactant, separately. Tables 1– demonstrate that the trial CMC‟s veer off adversely from the CMCid esteems for all the double hydrotrope and surfactant blends explored. The negative deviation shows that attractive associations between the parts are grinding away in the mixed micelles. With increment in centralization of hydrotropes, CMC diminishes because of dividing and special adsorption on the ionic head–gathering of surfactants and into the palisade layer of surfactant micelles, along these lines decreasing the head–bunch shocks between the hydrophilic gatherings, in this manner supporting early micellization. This infiltration brings about charge balance/screening in head–bunch area of the micelle alongside concurrent increment in hydrophobic connections between the surfactant tail and the hydrophobic bit of the added substance. An expansion in temperature expands the CMC demonstrating debilitated propensity for micelles to frame. This demonstrates the warm obstruction of micellar development, for which temperature, in this way, assumes a significant job. In the hydrotrope–SDS mixed frameworks, most extreme decrease in CMC is seen in the request for Re–SDS > NaSal–SDS > AHC–SDS though the request is AHC–SDBS > Re–SDBS > NaSal–SDBS for the hydrotrope–SDBS frameworks. The diminishing in CMC is a result of proficient charge balance/screening. Mixed micelles framed in the arrangements of such non–homogenous surface active materials are required to be nonideal. This nonideal blending was evaluated in the light of Rubingh‟s Eq. (3.3).19 To examine the idea of the collaborations among the parts, we determined different parameters utilizing the said model. In a blend, blending of hydrophobic parts can be considered as a perfect procedure and free vitality of the framework diminishes when the hydrophobic part moves from monomeric stage to micellar stage. In any case, connections between hydrophilic parts might be considered as a nonideal procedure. The quantitative understanding of the exploratory outcomes can be done by considering Rubingh‟s treatment, in light of the normal arrangement theory for nonideal mixed frameworks. This theory takes into account the count of the micellar mole divisions just as the connection parameter, β m , by utilizing the conditions. in the mixed micelles. β shows the greatness of the connections working between the two parts in the mixed micelle state, and it is relied upon to stay consistent for the entire oncentration go. The βm qualities exhibit the degree of associations and thus the deviation from the perfect conduct among hydrotrope and surfactant during their blending. The positive, negative and zero estimations of β m demonstrate shock, attractive and no connection among hydrotropes and surfactants, individually. The intercomponent cooperation parameter in the mixed micelles represents deviation from ideality. We have contemplated the scope of ionic and nonionic hydrotropes with various stuructures for each situation. The β m esteems arenegative. The enormous negative estimations of β m reflect solid collaboration between the two parts. In the event of two anionic surfactants SDS and SDBS, the β m esteems demonstrate the accompanying pattern: Re–SDS > NaSal–SDS > AHC–SDS and a similar pattern were found with SDBS. The basic contrasts in the head bunch area influence the cooperation among hydrotropes and surfactants as appeared by the CMC in two cases. The βm values, despite the fact that not consistent for all the double mixes all through the fixation extend, are on the whole negative at various temperatures, recommending solid synergism in the mixed micelle development. β m is related to the activity coefficients of the hydrotrope and the surfactant which can be obtained by using the equations: The estimations of movement coefficients f1 and f2 are observed to be not as much as solidarity indicating nonideal conduct of the mixed frameworks. The movement coefficients of SDS and SDBS are higher than the hydrotropes, however both are not as much as solidarity, showing nonideal conduct and synergistic collaboration among hydrotropes and surfactants in the micelles. The action coefficient of hydrotropes (f1) are especially low even in the poor locale of surfactants. The degree of collaboration as saw in the examination is in consonance with the determined estimations of action coefficients of surfactants. The more noteworthy the estimation of association parameter, more prominent will be the degree of nonideality in the framework and subsequently littler will be the estimation of movement coefficients. The micelle mole fraction in the ideal state (Xid) has been calculated by the Motomura equation20

In spite of the fact that this model may have certain restrictions as a result of the inflexible structures of hydrotropes and furthermore it doesn't consider the distinction in sizes of the mixed micelle framing segment, for example, hydrotropes. The micellar mole portions in the perfect state determined from Motomura condition are considerably less than the exploratory micellar mole parts determined from the Rubingh conditiona. ( X > Xid ). The activity coefficients can also be used to calculate excess free energy of mixing by the relation. where R and T have their standard implications. The negative ΔmixG values accordingly got recommend that the mixed micelles framed are steady than that of individual parts. The overabundance free vitality of micellization increments with increment in mole fraction of hydrotropes, i.e., huge presentation of mole fraction of hydrotropes makes the micelles increasingly steady, which is all around upheld by their collaboration parameters. This demonstrates hydrotropes lessen the shocks between the ionic head–gatherings of surfactants and increment the hydrophobic communications which, thus, upgrade the solidness of micelles.

VARIATION OF COUNTER ION BINDING (G1)

Head–bunch shocks existing in the Stern layer of micelles are the fundamental micelle–destabilizing factors and add to positive free vitality. The adsorption of oppositely charged counterions at the micelle–arrangement interface decreases this aversion and permits the power of hydrophobic associations so as to accomplish micelle development. Therefore, the level of counterion authoritative (g1) is a significant parameter that oversees the solidness of micelles. A few techniques exist to assess g1; the present strategy depends on conductivity estimations relating to premicellar and postmicellar locales, and predicts the convergence at one point that has been observed to be very near the basic micelle centralization of that surfactant and it works all around pleasantly. Higher counter particle relationship with cationic and nonionic hydrotropes while much lower relationship with anionic hydrotropes might be because of complex arrangement with decrease in the charge thickness of mixed total framework.

THERMODYNAMIC ANALYSIS

A reasonable comprehension of the thermodynamic conduct of amphiphiles is fundamental for normal clarification of the effects of various auxiliary and ecological factors on the estimation of the CMC. As level of separation (g) of the counterion to the micelle. where XCMC, R and T are the CMC expressed in mole fraction unit, the gas constant and absolute temperature, respectively. The standard enthalpy and entropy can then be calculated using equations. Enthalpy is a proportion of the all-out vitality of a thermodynamic framework which incorporates the inward vitality (which is the vitality required to make a framework) and the vitality required to account for it by dislodging its condition and setting up its volume and pressure. The negative estimations of o ΔmicH recommend the significance of the London–scattering connections as an attractive power for micellization24 though positive estimations of o ΔmicH mean the breaking of organized water around the hydrophobic pieces of the molecule.25 In our frameworks of hydrotrope–surfactant blends just positive estimations of o ΔmicH are discovered that implies breaking of organized water around the hydrophobic piece of particles happens. These hydrotropes structure mixed micelles with surfactants and exasperate the water structure close head–bunch which expands in general entropy of the framework. They likewise debilitate the hydrophilic connections between the head–gatherings of surfactants by consolidation through particular communication which brings down synthetic potential and upgrades the solvency of amphiphile.

CONCLUSION

Mixing of various types of amphiphiles has a probability to bring about increasingly valuable execution brought about by synergism. Numerous blends of organic counterion/atoms and surfactants (SDS and SDBS) show articulated synergistic effects in the micellization at the CMC of the surfactant, emphatically diminishing the CMC. The aftereffects of above investigation are displayed here: “The hydrotropes impact the self–conglomeration (micellization) conduct of surfactants in arrangement by diminishing the CMC head–bunch zone”. The CMC of mixed framework is lower than both the individual segments just as perfect CMC. The action coefficients of SDS and SDBS are higher than the hydrotropes however both are not as much as solidarity, demonstrating nonideal conduct and synergistic connection among hydrotropes and surfactants in the micelles.

REFERENCES

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Corresponding Author Nisha*

Research Scholar of OPJS University, Churu, Rajasthan