Relationship between Some Colloidal Properties of Non-Ionic-Anionic Surfactant Mixtures

Non-ionic surfactants are compatible with different types of materials, therefore they can be applied in various packages. Fatty-acid derivates as non-ionic surfactants and their mixtures were investigated to study their colloidal behavior. The HLB value, the particle size, the emulsification capacity and the interfacial tension of various commercial, non-ionic surfactants, and their mixtures with sodium lauryl-ether-sulfate (SLES), were determined. The surfactant mixtures were prepared in different non-ionic: anionic surfactant ratios to examine their effect on several surfactant characteristics. The interfacial tension between the oil phase and aqueous phase was measured using the spinning drop method and the average hydrodynamic diameter of surfactants in the aqueous solution was determined using the dynamic light scattering method. The relationship between various colloidal properties of surfactants was investigated. It was found that there is a significant relationship between the colloidal characteristics and the structure of surfactants that can contribute to their efficient selection method.


Introduction
A large fraction of surfactants is concerned with cleaning operations; however, the demands of other technological areas have also added greatly to the enhanced role of surfactants. The applications of surfactants in pharmaceuticals, petroleum recovery processes, high-tech applications and other medicine are placing more demands on our ability to understand and manipulate interfaces through the action of surface-active agents [1,2]. According to emulsification principles, a combination of a high and low HLB emulsifier is often more effective than the use of a single emulsifier. The optimal combination of ionic and non-ionic surfactants and their synergism can be essential in terms of the application area [3].
Petroleum-related occurrences of emulsions and foams are widespread and important to industrial productivity [4]. Both emulsions and foams may be applied at all stages in the petroleum recovery and processing industry, and both have important properties that may be desirable in some process contexts and undesirable in others [5,6]. The widespread interest in microemulsions and their use in industrial applications is based mainly on their high solubilization capacity for both hydrophilic and lipophilic compounds, and their large interfacial areas and ultra-low interfacial tensions achieved when they coexist with excess aqueous and oil phase [4,7].
Span and Tween surfactants are found in a diverse range of household consumer products and are useful as emulsifiers, solubilizers, wetting agents and dispersants [8]. Sodium lauryl-ether-sulfate (SLES) is an anionic detergent and surfactant found in many personal care products (soaps, shampoos, toothpaste, etc.) as a very effective foaming agent. By using combinations of Spans and Tweens with SLES it is possible to prepare a variety of excellent emulsifying systems.
Our aim was to investigate the relationship between the surfactants' structural properties and some colloidal properties. The HLB of the mixtures of surfactants was calculated and the IFT was measured using a spinning drop tensiometer. The particulate size distribution of surfactants has been studied using dynamic light scattering measurements. The micelle shape was determined according to Tanford's method. Knowledge of the above properties and their relationship allows the efficient application of surfactants and surfactant mixtures.

Materials and Methods
The mixture of anionic surfactant sodium lauryl-ether-sulfate (SLES) with commercial non-ionic surfactants marketed under Span and Tween product names were used in this work. The Span products were sorbitan esters, and the Tweens were ethoxylated Spans.
The chemical type of Span and Tween products and some other commercial surfactants are shown in Table 1. The surfactant mixtures contained non-ionic and anionic surfactants in a 50:50 mass ratio (based on previous experience) and were dissolved in distilled water at 1 w/w% total concentration. The composition of surfactant mixtures is shown in Table 2. For the measurements of interfacial tension and emulsifying capacity, a model crude oil was prepared. 60 cm 3 of n-heptane was mixed with 40 cm 3 of toluene in a conical flask. Before mixing, 0.1 g of asphaltene was dissolved in the toluene. The recipes of model crude oil are based on the study of Alimi and Oyedeji [9].

Interfacial Tension (IFT)
The interfacial tension between the aqueous phase of the surfactant mixture (in distilled water 1 w/w% concentration) and the model oil was measured using the spinning drop method. The measurement was carried out in a Krüss SDT tensiometer. While the rotation of the cylinder exerts a centrifugal force on its wall, the drops of the lower density fluid are deformed in an elongated form. The interfacial tension between the two fluids can be calculated from the form of the drops using the Young-Laplace-fit method.

Particle Size Analysis
The particle size (micelles size) and distribution of the samples were measured using dynamic light scattering using a Malvern Zetasizer Nano ZS instrument. The hydrodynamic radius was determined by dynamic light scattering and estimated from the particles' diffusivity using the Stokes-Einstein equation. The apparatus uses a 5 mW HeNe laser at a wavelength of 633 nm at a 90 • scattering angle. Independent triplicates of each sample over 5 runs were measured in a PCS8501 square glass cuvette. The average peak values of particle diameter (nm) for the different samples were calculated.

Emulsifying Capacity (EC)
10 cm 3 of model crude oil and 10 cm 3 aqueous solution of surfactant mixture solution (containing 15 g/L surfactant mixture) were measured in a cylinder. The liquid mixture was shaken at room temperature for 7 complete translation cycles and the quantity of different phases was measured 30 min after. Then the samples were shaken again and placed in an oven at 80 • C and after 1 h the volumes of the phases were read again. The quantities of the aqueous phase and emulsion phase are given as percentages of the total liquid volume.

Solubility in Water (Transmittance)
The surfactant mixture was dissolved in distilled water at 1 wt% concentration and the turbidity was then measured using a spectrophotometer. The solubility in water is characterized by the transmittance value (0% completely cloudy, 100% transparent).

Shape of Micelles
To determine the shape of the formed micelles (mixed micelles), some parameters were used that could give the most likely shape of micelles. The length (1) and the volume (2) of the hydrocarbon tail can be empirically determined by the method of Tanford [10]: where n c = number of carbon atoms in the saturated hydrocarbon chain. Based on the average molar ratio, the volume (ν) and the length (R) of the surfactant tail can be given Equations (3) and (4) [11][12][13]: where: x By introducing the parameter a 0 , the surface of the head group per molecule of the surfactant at the micelle-solution interface and the thermodynamic interaction between them are involved, thus the packing parameter (P) can be calculated (5) [10,11]: where a 0 = equilibrium area per molecule at the aggregate interface.
Only the headgroup controls the equilibrium aggregate structure via the headgroup area, the tail does not have any influence on the shape and size of the aggregate. A bigger head group has a larger value of a 0 and the formation of spherical micelles is more probable. Table 3 shows the relationship between the packing parameter and the geometrical forms of micelles. Table 3. Geometrical relations for spherical, cylindrical, and bilayer aggregates.

Determination of the Shape of Micelles
The calculated values of P parameters of each used surfactant mixtures are shown in Table 4. According to the determination of the shape of micelles by Tanford et al. [10], spherical or ellipsoidal micelles are probably formed in the surfactant mixtures, which assumes an equilibrium micelle structure based on the free energy model. Since the micelles of the surfactant mixtures are of the same shape, they can be compared.

Determination of HLB Values
HLB values of an additive, that is, the HLB of the mixture of surfactants, consisting of fraction x of A and (1 − x) of B is assumed to be the algebraic mean of the two HLB numbers [3], i.e., HLB mixture = x HLB A + (1 − x) HLB B (6) HLB values of surfactant mixtures were calculated using the equation above (6). Spans have low HLB values ranging from 4.3 to 8.6, while Tweens, as they are polyoxyethylene derivatives of Spans, are more hydrophilic and have higher HLB values ranging from

Surfactant Mixtures of Non-Ionic Surfactants with the Same Structure in Water Soluble Range (HLB 22-29)
The hydrodynamic diameters of the surfactant mixture solutions containing non-ionic surfactants with the same structure were determined (PDI = 0.7-0.8) and the results were represented as the function of transmittance (Figure 1). numbers [3], i.e., HLBmixture = x HLBA + (1 − x) HLBB (6) HLB values of surfactant mixtures were calculated using the equation above (6). Spans have low HLB values ranging from 4.3 to 8.6, while Tweens, as they are polyoxyethylene derivatives of Spans, are more hydrophilic and have higher HLB values ranging from 11.0 to 16.7. As SLES have relatively high HLB (40), their mixtures with Spans and Tweens vary in a narrow range between 22-29.

Surfactant Mixtures of Non-Ionic Surfactants with the Same Structure in Water Soluble Range (HLB 22-29)
The hydrodynamic diameters of the surfactant mixture solutions containing nonionic surfactants with the same structure were determined (PDI = 0.7-0.8) and the results were represented as the function of transmittance (Figure 1). It was found that the increase in the average particle size of the micelles in the aqueous solution of surfactants has resulted in an increase in transmittance which can be explained by a new formation of micelles.
The relationship between the emulsification capacity and IFT of surfactant mixture solutions from non-ionic surfactants with the same structure is shown in Figure 2. It was found that the increase in the average particle size of the micelles in the aqueous solution of surfactants has resulted in an increase in transmittance which can be explained by a new formation of micelles.
The relationship between the emulsification capacity and IFT of surfactant mixture solutions from non-ionic surfactants with the same structure is shown in Figure 2. The increasing interfacial tension reduces emulsifying ability, thus there is a significant relationship between the interfacial tension and the emulsification capacity. The increasing interfacial tension reduces emulsifying ability, thus there is a significant relationship between the interfacial tension and the emulsification capacity.

Surfactant Mixtures of Non-Ionic Surfactants with Different Structures in Water Soluble
Range  The relationship between the average particle size (PDI = 0.7-0.9) and the transmittance of surfactant mixtures from non-ionic surfactants with different structures (M-1, M-5, M-8, M-10, M-11 and M-12) were examined (Figure 3). The increasing interfacial tension reduces emulsifying ability, thus there is a significant relationship between the interfacial tension and the emulsification capacity.

Surfactant Mixtures of Non-Ionic Surfactants with Different Structures in Water Soluble
Range  The relationship between the average particle size (PDI = 0.7-0.9) and the transmit-  It was observed that the relationship between the hydrodynamic diameter and the transmittance of the surfactant mixtures from non-ionic surfactants with different structures was nearly the same as for the surfactant mixtures from non-ionic surfactants with It was observed that the relationship between the hydrodynamic diameter and the transmittance of the surfactant mixtures from non-ionic surfactants with different structures was nearly the same as for the surfactant mixtures from non-ionic surfactants with the same structure. The transmittance increases with the growing average particle size, thus the formation of micelles can be assumed in this case as well ( Figure 4).
Processes 2022, 10, x FOR PEER REVIEW 7 of 8 the same structure. The transmittance increases with the growing average particle size, thus the formation of micelles can be assumed in this case as well ( Figure 4). Contrary to Figure 2, only a slight relationship can be observed between the emulsification capacity and the IFT of surfactant mixture solutions from non-ionic surfactants with different structures. However, the tendency is also the same in this case.
The aqueous solutions of the tested surfactant mixtures have been found to be effective in every case, therefore they can be used in a relatively wide range of applications.