formulation of disperse systems (science and technology) || formulation of nanoemulsions

271

14Formulation of Nanoemulsions

14.1Introduction

Nanoemulsions are transparent or translucent systems mostly covering the sizerange 50 to 200 nm [1, 2], and may also be referred to as mini-emulsions [3, 4].Unlike microemulsions (which are also transparent or translucent and thermo-dynamically stable; see Chapter 15), nanoemulsions are only kinetically stable.However, the long-term physical stability of nanoemulsions (with no apparentflocculation or coalescence) makes them unique and they are sometimes referredto as ‘approaching thermodynamic stability’. The inherently high colloid stabilityof nanoemulsions can be well understood from a consideration of their stericstabilisation (when using nonionic surfactants and/or polymers), and how thisis affected by the ratio of the adsorbed layer thickness to droplet radius (thiswill be discussed below). Unless adequately prepared (to control the droplet sizedistribution) and stabilised against Ostwald ripening (that occurs when the oil hassome finite solubility in the continuous medium), nanoemulsions may lose theirtransparency with time as a result of increases in droplet size.

The attraction of nanoemulsions for application in personal care products andcosmetics, as well as in healthcare, is due to the following advantages:

• The very small droplet size causes a large reduction in the gravity force, and theBrownian motion may be sufficient for overcoming gravity; this means that nocreaming or sedimentation will occur on storage.

• The small droplet size also prevents any flocculation of the droplets. If weakflocculation can be prevented this enables the system to remain dispersed, withno separation.

• The small size of the droplets also prevents their coalescence, as the dropletsare nondeformable and hence surface fluctuations are prevented. The significantsurfactant film thickness (relative to droplet radius) also prevents any thinningor disruption of the liquid film between the droplets.

• Nanoemulsions are suitable for the efficient delivery of active ingredients throughthe skin. The large surface area of the emulsion system allows the rapidpenetration of active agents.

Formulation of Disperse Systems: Science and Technology, First Edition. Tharwat F. Tadros.c© 2014 Wiley-VCH Verlag GmbH & Co. KGaA. Published 2014 by Wiley-VCH Verlag GmbH & Co. KGaA.

272 14 Formulation of Nanoemulsions

• Due to their small size, nanoemulsions can penetrate the ‘‘rough,’’ skin surfaceand this enhances the penetration of active agents.

• The transparent nature of the system, their fluidity (at reasonable oil concen-trations), as well as the absence of any thickeners may give nanoemulsions apleasant aesthetic character and skin feel.

• Unlike microemulsions (which require a high surfactant concentration, usuallyin the region of 20% and higher for a 20% microemulsion), nanoemulsionscan be prepared using reasonable surfactant concentrations. For a 20% O/Wnanoemulsion, a surfactant concentration in the region of 5% may be sufficient.

• The small size of the droplets allows nanoemulsion to be deposited uniformly onsubstrates. Wetting, spreading and penetration may be also enhanced as a resultof the low surface tension of the whole system and the low interfacial tension ofthe O/W droplets.

• Nanoemulsions can be applied for the delivery of fragrants, which are oftenincorporated in many personal care products. The same could apply to perfumes,which preferably are formulated alcohol-free.

• Nanoemulsions may be applied as a substitute for liposomes and vesicles (whichare much less stable). It is also possible in some cases to build lamellar liquidcrystalline phases around the nanoemulsion droplets.

In spite of the above advantages, nanoemulsions have attracted interest onlyduring recent years, for the following reasons:

• Their preparation often requires special application techniques, such as the useof high-pressure homogenisation as well as ultrasound. Such equipment (e.g.,the Microfluidizer) has become available only during recent years.

• There is a perception in the personal care products and cosmetic industriesthat nanoemulsions are expensive to produce; indeed, expensive equipment isrequired and high concentrations of emulsifiers are used when compared tomacroemulsion production.

• There is a lack of understanding of the mechanism of production of submicrondroplets and the roles of surfactants and cosurfactants.

• Demonstrations are lacking of the benefits that can be obtained from usingnanoemulsions when compared to classic macroemulsion systems.

• A lack of understanding of the interfacial chemistry involved in productionof nanoemulsions. For example, few formulations chemists are aware of theconcepts of phase inversion composition (PIC) and phase inversion temperature(PIT), and how these can be usefully applied to produce small emulsion droplets.

• A poor knowledge of the mechanism of Ostwald ripening, which is perhaps themost serious instability problem with nanoemulsions.

• A lack of knowledge regarding the ingredients that can be incorporated toovercome Ostwald ripening. For example, the addition of a second oil phase withvery low solubility and/or the incorporation of polymeric surfactants that stronglyadsorb at the O/W interface (which are also insoluble in the aqueous medium).

• A fear of introducing new systems without fully evaluating the costs and benefits.

14.2 Mechanism of Emulsification 273

In spite of the above difficulties, several companies have introduced nanoemul-sions onto the market, and their benefits will be evaluated within the next few years.Nanoemulsions have been used in the pharmaceutical industry as drug-deliverysystems [5], although the acceptance by customers of nanoemulsions as a new typeof formulation depends on how they are perceived and their efficacy. With theadvent of new instruments for high-pressure homogenisation, and the competitionbetween various manufacturers, the cost of nanoemulsion production will surelyand may even approach that of classic macroemulsions. Fundamental investiga-tions into the role of surfactants in the process [6, 7] will lead to optimised emulsifiersystems such that a more economic use of surfactants will doubtless emerge.

In this chapter, the fundamental principles of emulsification and the role ofsurfactants, as well as the production of nanoemulsions using high-pressurehomogenisation, the PIC and PIT principles, and via the dilution of microemul-sions, will be discussed. Subsequently, the theory of steric stabilisation of emulsionsand the role of the relative ratio of adsorbed layer thickness to the droplet radiuswill be described, as will the theory of Ostwald ripening and methods of reducingthe process. The latter include the incorporation of a second oil phase with very lowsolubility and the use of strongly adsorbed polymeric surfactants. Finally, exampleswill be given of recently prepared nanoemulsions, and of investigations of theabove effects on these materials.

14.2Mechanism of Emulsification

As mentioned in Chapter 10, the preparation of an emulsion requires oil, water, asurfactant, and energy. This can be considered on the basis of the energy requiredto expand the interface, ΔA𝛾 (where ΔA is the increase in interfacial area when thebulk oil with area A1 produces a large number of droplets with area A2; A2 ≫A1,where 𝛾 is the interfacial tension). Since 𝛾 is positive, the energy to expand theinterface is large and positive. This energy term cannot be compensated by thesmall entropy of dispersion TΔS (which is also positive), and the total free energyof formation of an emulsion, ΔG is positive,

Δ𝐺 = Δ𝐴𝛾 − TΔ𝑆 (14.1)

Thus, emulsion formation is nonspontaneous and energy is required to producethe droplets. The formation of large droplets (of a few micrometers), as is thecase for macroemulsions, is fairly easy and hence high-speed stirrers such as theUltraTurrax or Silverson mixer are sufficient to produce the emulsion. In contrast,the formation of small drops (submicron, as is the case with nanoemulsions) isdifficult and this requires a large amount of surfactant and/or energy. The highenergy required to form nanoemulsions can be understood by considering theLaplace pressure p (the difference in pressure between inside and outside thedroplet,


p = 𝛾

(1

R1+ 1

R2

)(14.2)

where R1 and R2 are the principal radii of curvature of the drop.For a spherical drop, R1 =R2 =R, and

p = 2𝛾R

(14.3)

In order to break up a drop into smaller droplets, it must be strongly deformedand this deformation will increase p; consequently, the stress needed to deformthe drop will be higher for a smaller drop. As the stress is generally transmittedby the surrounding liquid via agitation, higher stresses will need a more vigorousagitation, and hence more energy is needed to produce smaller drops [8]. Surfactantsplay major roles in the formation of nanoemulsions: By lowering the interfacialtension, p is reduced such that the stress needed to break up a drop is also reduced.Surfactants prevent the coalescence of newly formed drops.

When assessing a nanoemulsion formation, the normal approach is to measurethe droplet size distribution using dynamic light scattering techniques, includingphoton correlation spectroscopy (PCS). In this technique, the intensity fluctuationof light scattered by the droplets is measured as they undergo Brownian motion[9]. When a light beam passes through a nanoemulsion, an oscillating dipolemoment is induced in the droplets, such that the light is re-radiated. Due tothe random position of the droplets, the intensity of the scattered light will, atany instant, appear as a random diffraction or ‘‘speckle’’ pattern. As the dropletsundergo Brownian motion, the random configuration of the pattern will, therefore,fluctuate such that the time taken for an intensity maximum to become a minimum(i.e., the coherence time) will correspond exactly to the time required for the dropletto move one wavelength. By using a photomultiplier of which the active area isabout the diffraction maximum (i.e., one coherence area), this intensity fluctuationcan be measured. The analogue output is digitised using a digital correlator thatmeasures the photocount (or intensity) correlation function of the scattered light.The photocount correlation function G(2)(𝜏) is given by the equation:

G(2)(𝜏) = B(1 + 𝛾2 [g(1)(𝜏)]2) (14.4)

where 𝜏 is the correlation delay time. The correlator compares G(2)(𝜏) for manyvalues of 𝜏. B is the background value to which G(2)(𝜏) decays at long delay times,while g(1)(𝜏) is the normalised correlation function of the scattered electric field,and 𝛾 is a constant (∼1).

For monodisperse noninteracting droplets,

g(1) = exp (−𝛤 𝜏) (14.5)

where 𝛤 is the decay rate or inverse coherence time, that is related to thetranslational diffusion coefficient D by the equation,

𝛤 = DK2 (14.6)

14.3 Methods of Emulsification and the Role of Surfactants 275

where K is the scattering vector,

K = 4𝜋n𝜆o

sin(𝜃

2

)(14.7)

where 𝜆 is the wavelength of light in vacuo, n is the refractive index of the solution,and 𝜃 is the scattering angle.

The droplet radius R can be calculated from D using the Stokes–Einsteinequation,

D = 𝑘𝑇

6𝜋𝜂o R(14.8)

where 𝜂o is the viscosity of the medium.The above analysis is valid for dilute monodisperse droplets. With many

nanoemulsions the droplets are not perfectly monodisperse (usually with a narrowsize distribution), and the light-scattering results are analysed for polydispersity.For this, the data are expressed as an average size, and a polydispersity indexprovides information on how they deviate from the average size.

14.3Methods of Emulsification and the Role of Surfactants

With macroemulsions, several procedures may be applied for emulsionpreparation, ranging from simple pipe flow (low agitation energy, L), static mixersand general stirrers (low to medium energy, L-M), high-speed mixers such asthe UltraTurrax (M), colloid mills and high-pressure homogenisers (high-energy,H), ultrasound generators (M-H). The method of preparation can be eithercontinuous (C) or batch-wise (B). With nanoemulsions, however, a higher powerdensity is required and this restricts their preparation to the use of high-pressurehomogenisation and ultrasound.

An important parameter that describes droplet deformation, Weber number, We,provides the ratio of the external stress G𝜂 (where G is the velocity gradient and 𝜂

is the viscosity) over the Laplace pressure (see Chapter 10),

We =G𝜂 r2𝛾

(14.9)

The droplet deformation increases with increases in the Weber number whichmeans that, in order to produce small droplets, high stresses (i.e., high shearrates) are require. In other words, the production of nanoemulsions costs moreenergy than does the production of macroemulsions [4]. The role of surfactantsin emulsion formation has been described in detail in Chapter 10, and the sameprinciples apply to the formation of nanoemulsions. Thus, it is important toconsider the effects of surfactants on the interfacial tension, interfacial elasticity,and interfacial tension gradients.


14.4Preparation of Nanoemulsions

Four methods may be applied to prepare nanoemulsions (covering the dropletradius size range of 50 to 200 nm): high-pressure homogenisation (aided by anappropriate choice of surfactants and cosurfactants); application of the PIC method;application of the PIT concept; and the dilution of a microemulsion.

14.4.1High-Pressure Homogenisation

The production of small (submicron) droplets requires the application of largeamounts of energy, as the process of emulsification is generally very inefficient (asillustrated below).

Simple calculations have shown that the mechanical energy required for emulsi-fication exceeds the interfacial energy by several orders of magnitude. For example,to produce an emulsion at 𝜑= 0.1 with a d32 = 0.6 μm, using a surfactant thatgives an interfacial tension 𝛾 = 10 mN m−1, the net increase in surface free energyis A𝛾 = 6𝜑𝛾/d32 = 104 J m−3. The mechanical energy required in a homogeniser is107 J m−3, which represents an efficiency of only 0.1%, with the rest of the energy(99.9%) being dissipated as heat [10].

The intensity of the process or the effectiveness in making small droplets is oftengoverned by the net power density (𝜀(t)):

p = 𝜀(t)dt (14.10)

where t is the time during which emulsification occurs.The break-up of droplets will only occur at high 𝜀-values, which means that

the energy dissipated at low 𝜀 levels is wasted. Batch processes are generally lessefficient than continuous processes and this shows why, when using a stirrer in alarge vessel, most of the energy applied at low intensity is dissipated as heat. In ahomogeniser, p is simply equal to the homogeniser pressure.

Several procedures may be applied to enhance the efficiency of emulsificationwhen producing nanoemulsions. First, the efficiency of agitation should be opti-mised by increasing 𝜀 and decreasing the dissipation time. Second, the emulsionshould preferably be prepared at a high volume faction of the disperse phase anddiluted afterwards, although very high 𝜑-values may result in coalescence occurringduring the emulsification. The addition of more surfactant might create a smaller𝛾eff and possibly diminish any re-coalescence. A surfactant mixture should be usedthat shows a greater reduction in γ of the individual components; if possible, thesurfactant should be dissolved in the disperse phase rather than in the continuousphase, as the latter approach often leads to smaller droplets.

Notably, it may be useful to emulsify in steps of increasing intensity, particularlywith emulsions having a highly viscous disperse phase.

14.4 Preparation of Nanoemulsions 277

14.4.2Phase Inversion Composition (PIC) Principle

A study of the phase behaviour of water/oil/surfactant systems showed thatemulsification can be achieved via three different low-energy methods, as shownschematically Figure 14.1:

• The stepwise addition of oil to a water–surfactant mixture.• The stepwise addition of water to a solution of the surfactant in oil.• Mixing all of the components in the final composition and pre-equilibrating the

samples prior to emulsification.

In these studies, the system water/Brij 30 (polyoxyethylene lauryl ether with anaverage of 4 mol ethylene oxide/decane) was chosen as a model to obtain O/Wemulsions. The results showed that nanoemulsions with droplet sizes on the orderof 50 nm were formed only when water was added to mixtures of surfactant and oil(method B), whereby an inversion from a W/O emulsion to an O/W nanoemulsionoccurred.

14.4.3Phase Inversion Temperature (PIT) Principle

Phase inversion in emulsions can be one of two types: (i) a transitional inversion,induced by changing factors that affect the HLB of the system, such as temperatureand/or electrolyte concentration; and/or (ii) a catastrophic inversion, which isinduced by increasing the volume fraction of the disperse phase.

Transitional inversion can also be induced by changing the HLB number of thesurfactant at constant temperature, using surfactant mixtures. This is illustratedin Figure 14.2, which shows the average droplet diameter and rate constant for

Water Oil

Surfactant

Method A Method B

Figure 14.1 Schematic representation of the experimental path in two emulsification meth-ods. Method A, addition of decane to water/surfactant mixture; Method B, addition of waterto decane/Brij 30 solutions.


Suate

r m

ean d

iam

ete

r

Log (

rate

consta

nt/m

in−1

)

3-phase region

Water drops

Oil drops

HLB

5

5

10

15

7 9 11 13 15

−1.5

−1.0

−0.5

0.0

0.5

Figure 14.2 Emulsion droplet diameters (circles) and rate constant for attaining steadysize (squares) as function of HLB–cyclohexane/nonylphenol ethoxylate.

attaining a constant droplet size as a function of the HLB number. It can be seen thatthe diameter decreases and the rate constant increases as inversion is approached.

To apply the phase inversion principle, the transitional inversion method shouldbe used, as demonstrated by Shinoda and coworkers [11, 12] when using nonionicsurfactants of the ethoxylate type. These surfactants are highly dependent ontemperature, becoming lipophilic with increasing temperature due to dehydrationof the poly(ethylene oxide) (PEO) chain. When an O/W emulsion that has beenprepared using a nonionic surfactant of the ethoxylate type is heated, at a criticaltemperature – the PIT – the emulsion will invert to a W/O emulsion. At the PIT,the droplet size reaches a minimum and the interfacial tension also reaches aminimum, but the small droplets are unstable and coalesce very rapidly. Rapidcooling of an emulsion that has been prepared close to the PIT results in very stableand small emulsion droplets.

A clear demonstration of the phase inversion that occurs on heating an emulsionwas made when studying the phase behaviour of emulsions as a function oftemperature. This is illustrated in Figure 14.3, which shows schematically theeffect of increasing the temperature [13, 14]. At low temperature, over the WinsorI region, O/W macroemulsions can be formed which are quite stable; however,on increasing the temperature the O/W emulsion stability is decreased and themacroemulsion finally resolves when the system reaches the Winsor III phaseregion (when both O/W and W/O emulsions are unstable). At higher temperature,over the Winsor II region, the W/O emulsions become stable.

Near the HLB temperature, the interfacial tension reaches a minimum, asillustrated in Figure 14.4. Thus, by preparing the emulsion at a temperature 2–4 ◦Cbelow the PIT (near the minimum in 𝛾), followed by rapid cooling of the system,nanoemulsions may be produced. The minimum in 𝛾 can be explained in termsof the change in curvature H of the interfacial region, as the system changes fromO/W to W/O. For an O/W system and normal micelles, the monolayer curvestowards the oil such that H has a positive value. However, for a W/O emulsion andinverse micelles the monolayer will curve towards the water and H will be assigned

14.4 Preparation of Nanoemulsions 279

Incre

asin

g tem

pera

ture

Increasing temperature

Incre

asin

g tem

pera

ture

w o

s

w o

s

w o

s

s

w o

w o

s

Oil

Middle phase

Water

Figure 14.3 The PIT concept.

C10E4

C10E5

C10E6

0 10 20 30 40 50 60 70

T/°C

C12E4

C12E5

C12E6

0 10 20 30 40 50 60 70

T/°C

C9E3

C9E4

C9E5

10−4

0 10 20 30 40 50 60 70

T/°C

𝜎 ab/m

Nm

−1

10−3

10−2

10−1

100

Figure 14.4 Interfacial tensions of n-octane against water in the presence of various CnEmsurfactants above the cmc as a function of temperature.

a negative value. At the inversion point (HLB temperature), H becomes zero while𝛾 reaches a minimum.

14.4.4Preparation of Nanoemulsions by Dilution of Microemulsions

A common method of preparing nanoemulsions by self-emulsification is to dilutean O/W microemulsion with water. During this process, part of the surfactantand/or cosurfactant will diffuse to the aqueous phase and the droplets will nolonger be thermodynamically stable as the surfactant concentration will not behigh enough to maintain the ultra-low interfacial tension (<10−4 mN m−1) forthermodynamic stability. Hence, the system becomes unstable and the dropletsshow a tendency to grow by coalescence and/or Ostwald ripening, forming a


Dodecane

SDS/hexanol (1/1.76)

O/W microemulsion (Wm)

Om5

Wm5Wm4

Wm2

Water

Wm3

Om4

Om3

Om2

Om1

Figure 14.5 Pseudoternary phase diagram of water/SDS/hexanol/dodecane withSDS : hexanol ratio of 1 : 1.76. Solid and dashed lines indicate the emulsification pathsfollowed starting from both O/W (Wm) and W/O (Om) microemulsion domains.

nanoemulsion. This is illustrated in Figure 14.5, which shows the phase diagramof the system water/SDS-hexanol (ratio 1 : 1.76)/dodecane.

Nanoemulsions can be prepared starting from microemulsions located in theinverse microemulsion domain, Om, and in the direct microemulsion domain,Wm, at different oil : surfactant ratios ranging from 12 : 88 to 40 : 60, and coincidentfor both types of microemulsion. The water concentration is fixed at 20% formicroemulsions in the Om domain labelled as Om1, Om2, Om3, Om4, and Om5.The microemulsions in the Wm region are accordingly Wm2, Wm3, Wm4, and Wm5,and their water content was decreased from Wm2 to Wm5.

Four main emulsification methods can be applied, including: (i) the addition ofa microemulsion into water in one step; (ii) the addition of a microemulsion intowater stepwise; (iii) the addition of water into a microemulsion in one step; and (iv)the addition of water into microemulsion stepwise. The final water content is keptconstant at 98 wt%.

Starting emulsification from Wm microemulsions, low-polydisperse nanoemul-sions with droplet sizes within the range 20–40 nm are obtained, regardless ofthe emulsification method used. When starting from Om microemulsions thenanoemulsion formation and properties depended on the emulsification method.For example, from a Om1 microemulsion a turbid emulsion with rapid creamingwas obtained, whichever method was used, and in this case the direct microemul-sion region Wm was not crossed. However, starting from Om2 to Om5 and using thefourth emulsification method, in which water is gradually added to the microemul-sion, the nanoemulsion droplet sizes coincided with those obtained starting from

14.5 Steric Stabilisation and the Role of the Adsorbed Layer Thickness 281

microemulsions in the Wm domain for the corresponding O : S ratio. The first threeof the above-described methods produced coarse emulsions.

14.5Steric Stabilisation and the Role of the Adsorbed Layer Thickness

As most nanoemulsions are prepared using nonionic and/or polymeric surfactants,it is necessary to consider the interaction forces between droplets containingadsorbed layers (steric stabilisation). As this was described in detail in Chapter 10,only a summary will be given here [15, 16].

When two droplets each containing an adsorbed layer of thickness 𝛿 approach toa distance of separation h, whereby h becomes less than 2𝛿, repulsion will occur asa result of two main effects:

• Unfavourable mixing of the stabilising chains A of the adsorbed layers whenthese are in good solvent conditions; this is referred to as the ‘‘mixing’’ (osmotic)interaction, Gmix, and is given by the following expression:

Gmix

𝑘𝑇= 4𝜋

3V1𝜙2

2

(12− 𝜒

) (3a + 2𝛿 + h

2

)(14.11)

where k is the Boltzmann constant, T is the absolute temperature, V1 is the molarvolume of the solvent, 𝜑2 is the volume fraction of the polymer (the A chains) inthe adsorbed layer, and 𝜒 is the Flory–Huggins (polymer–solvent interaction)parameter. It can be seen that Gmix depends on three main parameters: (i) thevolume fraction of the A chains in the adsorbed layer (the more dense the layeris, the higher the value of Gmix); (ii) the Flory–Huggins interaction parameter𝜒 (for Gmix to remain positive, i.e., repulsive, 𝜒 should be <1/2); and (iii) theadsorbed layer thickness, 𝛿.

• Reduction in configurational entropy of the chains on significant overlap. This isreferred to as ‘‘elastic’’ (entropic) interaction, and is given by the expression:

Gel = 2𝜈2 ln

[𝛺(h)

𝛺(∞)

](14.12)

where v2 is the number of chains per unit area, 𝛺(h) is the configurationalentropy of the chains at a separation distance h, and 𝛺(∞) is the configurationalentropy at infinite distance of separation.

• The combination of Gmix, Gel with the van der Waals attraction GA gives the totalenergy of interaction GT,

GT = Gmix + Gel + GA (14.13)

Figure 14.6 shows a schematic representation of the variation of Gmix, Gel, GA

and GT with h. As can be seen form Figure 14.6, Gmix increases very rapidly witha decrease of h, but as soon as h< 2𝛿, Gel increases very rapidly with a decreaseof h when h<𝛿. GT shows one minimum, Gmin, and increases very rapidly withdecrease of h when h< 2𝛿.


Gel

Gmix GT

GA

Gmin

G

h𝛿 2𝛿

Figure 14.6 Variation of Gmix, Gel, GA and GT with h.

Gmin

Gr

h

Increasing 𝛿/R

Figure 14.7 Variation of GT with h with increasing 𝛿/R.

The magnitude of Gmin depends on the following parameters: the particleradius R; the Hamaker constant A; and the adsorbed layer thickness 𝛿. As anillustration, Figure 14.7 shows the variation of GT with h at various ratios of 𝛿/R.It can be seen from Figure 14.7 that the depth of the minimum decreases withincreasing 𝛿/R, and this is the basis of the high kinetic stability of nanoemulsions.With nanoemulsions having a radius in the region of 50 nm and an adsorbedlayer thickness of say 10 nm, the value of 𝛿/R will be 0.2. This high value (whencompared to the situation with macroemulsions, where 𝛿/R is at least an order ofmagnitude lower) results in a very shallow minimum (which could be less than kT).

The above situation results in a very high stability with no flocculation (weak orstrong). In addition, the very small size of the droplets and the dense adsorbed layersensure a lack of deformation of the interface, and a lack of thinning and disruptionof the liquid film between the droplets; hence, coalescence is also prevented.


The only instability problem encountered with nanoemulsions is Ostwald ripen-ing, which is discussed below.

14.5.1Ostwald Ripening

One of the main problems with nanoemulsions is Ostwald ripening which resultsfrom differences in solubility between the small and large droplets. The differencein the chemical potential of dispersed phase droplets between different-sizeddroplets as given by Lord Kelvin [17],

c(r) = c(∞) exp

(2𝛾Vm

r𝑅𝑇

)(14.14)

where c(r) is the solubility surrounding a particle of radius r, c(∞) is the bulk phasesolubility, and Vm is the molar volume of the dispersed phase.

The quantity (2𝛾Vm/RT) is termed the characteristic length, and has an orderof∼1 nm or less, indicating that the difference in solubility of a 1 μm droplet is onthe order of 0.1%, or less.

Theoretically, Ostwald ripening should lead to the condensation of all dropletsinto a single drop (i.e., phase separation); however, this does not occur in practiceas the rate of growth decreases with increases of droplet size.

For two droplets of radii r1 and r2 (where r1 < r2),(𝑅𝑇

Vm

)ln

[c(r1

)c(r2)

]= 2𝛾

(1r1

− 1r2

)(14.15)

Equation (14.15) shows that the larger the difference between r1 and r2, thehigher the rate of Ostwald ripening.

Ostwald ripening can be quantitatively assessed from plots of the cube of theradius versus time t (the Lifshitz–Slesov–Wagner; LSW) theory [18, 19],

r3 = 89

[c (∞) 𝛾Vm D

𝜌𝑅𝑇

]t (14.16)

where D is the diffusion coefficient of the disperse phase in the continuous phaseand 𝜌 is the density of the disperse phase.

Several methods may be applied to reduce Ostwald ripening [20–22]:

• The addition of a second disperse phase component which is insoluble in thecontinuous phase (e.g., squalene). In this case, a significant partitioning occursbetween different droplets, with the component having a low solubility in thecontinuous phase expected to be concentrated in the smaller droplets. DuringOstwald ripening in a two-component disperse phase system, equilibrium isestablished when the difference in chemical potential between different-sizeddroplets (which results from curvature effects) is balanced by the differencein chemical potential resulting from a partitioning of the two components. Ifthe secondary component has zero solubility in the continuous phase, the sizedistribution will not deviate from the initial one (the growth rate is equal to zero).


In the case of limited solubility of the secondary component, the distributionis the same as governed by Equation (14.16); that is, a mixture growth rate isobtained which is still lower than that of the more soluble component.

• Modification of the interfacial film at the O/W interface. According to Equation(14.15), a reduction in 𝛾 will result in a reduction of Ostwald ripening; however,this alone is not sufficient as γ has to be reduced by several orders of magnitude.Walstra [23] suggested that, by using surfactants which are strongly adsorbed atthe O/W interface (i.e., polymeric surfactants) and which do not desorb duringripening, the rate could be significantly reduced. An increase in the surfacedilational modulus and decrease in 𝛾 would be observed for the shrinking drops.The difference in 𝛾 between the droplets would balance the difference in capillarypressure (i.e., curvature effects).

To achieve the above effect it is useful to use A-B-A block copolymers that aresoluble in the oil phase and insoluble in the continuous phase. The polymericsurfactant should enhance the lowering of 𝛾 by the emulsifier. In other words, theemulsifier and the polymeric surfactant should show synergy in lowering 𝛾 .

14.5.2Practical Examples of Nanoemulsions

Several experiments were recently carried to investigate the methods of preparingnanoemulsions, and their stability [24]. In the first method, the PIT principle wasapplied whereby experiments were carried out using hexadecane and isohexadecane(Arlamol HD) as the oil phase and Brij 30 (C12EO4) as the nonionic emulsifier.The phase diagrams of the ternary system water-C12EO4-hexadecane and water-C12EO4-isohexadecane are shown in Figures 14.8 and 14.9. The main featuresof the pseudoternary system were as follows: (i) Om isotropic liquid transparentphase, which extended along the hexadecane-C12EO4 or isohexadecane-C12EO4

axis, corresponding to inverse micelles or W/O microemulsions; (ii) Lα lamellarliquid crystalline phase, which extended from the W-C12EO4 axis towards theoil vertex; (iii) the rest of the phase diagram consisted of two- or three-phaseregions: (Wm +O) two-liquid-phase region, which appeared along the water-oilaxis; (Wm + Lα +O) three-phase region, which consisted of a bluish liquid phase(O/W microemulsion), a lamellar liquid crystalline phase (Lα) and a transparent oilphase; (Lα +Om) two-phase region which consisted of an oil and liquid crystallineregion; and MLC, a multiphase region which contained a lamellar liquid crystallinephase (Lα).

The HLB temperature was determined using conductivity measurements,whereby 10−2 mol dm−3 NaCl was added to the aqueous phase (to increase thesensitivity of the measurements). The concentration of NaCl was low and hencehad little effect on the phase behaviour.

Figure 14.10 shows the variation of conductivity versus temperature for 20%O/W emulsions at different surfactant concentrations. It can be seen that thereis a sharp decrease in conductivity at the PIT or HLB temperature of the system.The HLB temperature then decreases with increases in surfactant concentration,


0.5

0

1

0.5

0

1

C12

E4

Hexadecane(aγ+Lα+O)

(aγ+Lα)

(Lα+Om)

(Lα+O)(D+Lα)

(Wm+O)

(Wm+Lα)

(Wm+Lα+O)

Lα

MLC

Om

0.5

0

Water

(W+Lα)D

Figure 14.8 Pseudoternary phase diagram at 25 ◦C of the system water-C12EO4-hexadecane.1 0.9

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1

0

1

0.9

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1

0

W 0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

C12

E4

(Lα+Om)

(Wm+Lα)

(Wm+Lα+O)

(Wm+O)

Mc

Om

Lα

Isohexadecane

Figure 14.9 Pseudoternary phase diagram at 25 ◦C of the system water-C12EO4-isohexadecane.


20

0

250

500

750

1000

1250

30 40 50

Temperature (°C)

Conductivity (μS

/cm

)

60 70

++

+

+

++++

++

×××××××××××××

×××××××××××

×××

×

××

×

××

S = 3.0 wt%

S = 3.5 wt%

S = 4.0 wt%

S = 5.0 wt%

S = 6.0 wt%

S = 7.0 wt%

S = 8.0 wt%

Figure 14.10 Conductivity versus temperature for a 20 : 80 hexadecane : water emulsions atvarious C12EO4 concentrations.

though this may have been due to the excess nonionic surfactant remaining in thecontinuous phase. At a concentration of surfactant higher than 5%, however, theconductivity plots showed a second maximum (Figure 14.10) that was attributed tothe presence of Lα phase and bicontinuous L3 or D’ phases [25].

Nanoemulsions were prepared by rapid cooling of the system to 25 ◦C, andthe droplet diameter was determined using PCS. The results are summarised inTable 14.1, which shows the exact composition of the emulsions, HLB temperature,z-average radius, and polydispersity index.

O/W nanoemulsions with droplet radii in the range 26–66 nm could be obtainedat surfactant concentrations between 4% and 8%. The nanoemulsion dropletsize and polydispersity index was shown to decrease with increases in surfactantconcentration; this effect was considered due to the to the increase in surfactantinterfacial area and the decrease in interfacial tension, 𝛾 .

Table 14.1 Composition, HLB temperature (THLB), droplet radius r and polydispersity index(PI) for the system water-C12EO4-hexadecane at 25 ◦C.

Surfactant (wt%) Water (wt%) Oil/water THLB (◦C) r (nm) PI

2.0 78.0 20.4/79.6 — 320 1.003.0 77.0 20.6/79.4 57.0 82 0.413.5 76.5 20.7/79.3 54.0 69 0.304.0 76.0 20.8/79.2 49.0 66 0.175.0 75.0 21.2/78.9 46.8 48 0.096.0 74.0 21.3/78.7 45.6 34 0.127.0 73.0 21.5/78.5 40.9 30 0.078.0 72.0 21.7/78.3 40.8 26 0.08


0

5

10

15

20D

rople

t r3

(nm

3).

10−5

+

+

+

0 50 100

Time (h)

150 200

+

S: 4.0 wt%

S: 5.0 wt%

S: 6.0 wt%

S: 7.0 wt%

S: 8.0 wt%

Figure 14.11 r3 versus time at 25 ◦C for nanoemulsions prepared using the system water-C12EO4-hexadecane.

As mentioned above, 𝛾 reaches a minimum at the HLB temperature, andtherefore the minimum in interfacial tension would occur at a lower temperatureas the surfactant concentration increased. This temperature would become closerto the cooling temperature as the surfactant concentration increased, and thiswould result in smaller droplet sizes.

All nanoemulsions showed an increase in droplet size with time, as a resultof Ostwald ripening. Figure 14.11 shows plots of r3 versus time for all thenanoemulsions studied. The slope of the lines gives the rate of Ostwald ripening𝜔 (in m3 s−1), and this showed an increase from 2 to 39.7× 10−27 m3 s−1 as thesurfactant concentration was increased from 4% to 8 wt%. This increase may havebeen due to a number of factors:

• The decrease in droplet size increases the Brownian diffusion, and this enhancesthe rate.

• The presence of micelles, which increases with in line with increases in surfactantconcentration. This has the effect of increasing the solubilisation of the oil intothe core of the micelles and leads to an increase of the flux J of diffusion of oilmolecules from different-sized droplets. Although the diffusion of micelles wasslower than the diffusion of oil molecules, the concentration gradient (𝛿C/𝛿X)could be increased by orders of magnitude as a result of solubilisation. Theoverall effect would be an increase in J, and this may enhance Ostwald ripening.

• The partition of surfactant molecules between the oil and aqueous phases. Withhigher surfactant concentrations, the molecules with shorter EO chains (i.e.,lower HLB number) may accumulate preferentially at the O/W interface. Thismay result in a reduction of the Gibbs elasticity, which in turn would cause anincrease in the Ostwald ripening rate.


Table 14.2 Composition, HLB temperature (THLB), droplet radius r and polydispersity index(PI) at 25 ◦C for emulsions in the system water-C12EO4-isohexadecane.

Surfactant (wt%) Water (wt%) O/W THLB (◦C) r (nm) PI

2.0 78.0 20.4/79.6 — 97 0.503.0 77.0 20.6/79.4 51.3 80 0.134.0 76.0 20.8/79.2 43.0 65 0.065.0 75.0 21.1/78.9 38.8 43 0.076.0 74.0 21.3/78.7 36.7 33 0.057.0 73.0 21.3/78.7 33.4 29 0.068.0 72.0 21.7/78.3 32.7 27 0.12

The results with isohexadecane are summarised in Table 14.2. As with thehexadecane system, the droplet size and polydispersity index were decreasedwith increases in surfactant concentration. Nanoemulsions with droplet radii of25–80 nm were obtained at 3–8% surfactant concentration. It should be noted,however, that nanoemulsions could be produced at lower surfactant concentrationwhen using isohexadecane, when compared to results obtained with hexadecane.This could be attributed to the higher solubility of isohexadecane (a branchedhydrocarbon), the lower HLB temperature, and the lower interfacial tension.

The stability of nanoemulsions prepared using isohexadecane was assessed byfollowing the droplet size as a function of time. Plots of r3 versus time for four

00

10

20

30

40

50

60

00

5

10

15

20

25

4 8 12 16 20 24 28 32 36 40 44 4870

80

90

50 100 150 200

Time (h)

Time (h)

r3⋅1

0−6

(nm

3)

r3⋅1

0−6

(n

m3)

250 300 350

S: 3.0 wt%

S: 4.0 wt% (1st test)

S: 4.0 wt% (2nd test)

S: 5.0 wt% (1st test)

S: 5.0 wt% (2nd test)

S: 6.0 wt%

Figure 14.12 r3 versus time at 25 ◦C for the system water-C12EO4-isohexadecane at varioussurfactant concentration; O/W ratio 20/80.


surfactant concentrations (3, 4, 5 and 6 wt%) are shown in Figure 14.12. Theresults showed an increase in Ostwald ripening rate as the surfactant concentrationwas increased from 3% to 6% (the ripening rate was increased from 4.1 to50.7× 10−27 m3 s−1). The nanoemulsions prepared using 7 wt% surfactant wereso unstable that they showed significant creaming after 8 h; however, when thesurfactant concentration was increased to 8 wt% a very stable nanoemulsion couldbe produced with no apparent increase in droplet size over several months. Thisunexpected stability was attributed to the phase behaviour at such surfactantconcentrations. The sample containing 8 wt% surfactant showed birefringence toshear when observed under polarised light. It seemed that the ratio between thephases (Wm + Lα +O) may play a key factor in nanoemulsion stability. Attemptswere made to prepare nanoemulsions at higher O/W ratios (hexadecane being theoil phase), while keeping the surfactant concentration constant at 4 wt%. When theoil content was increased to 40% and 50%, the droplet radius increased to 188 nmand 297 nm, respectively. In addition, the polydispersity index was increased to0.95. Whilst these systems became so unstable that they showed creaming within afew hours, this was not too surprising as the surfactant concentration is insufficientto produce nanoemulsion droplets with a high surface area. Similar results wereobtained with isohexadecane, but nanoemulsions could be produced using a 30/70O/W ratio (droplet size 81 nm), but with a high polydispersity index (0.28) thenanoemulsions showed significant Ostwald ripening.

The effect of changing the alkyl chain length and branching was investigatedusing decane, dodecane, tetradecane, hexadecane, and isohexadecane. Plots of r3

versus time are shown in Figure 14.13 for a 20/80 O/W ratio and a surfactantconcentration of 4 wt%. As expected, by reducing the oil solubility from decaneto hexadecane, the rate of Ostwald ripening decreases, and the branched oilisohexadecane also showed a higher Ostwald ripening rate when compared to

0 50 100 150

Time (h)

Dro

ple

t r3

(n

m3).

10−5

200 250 3000

5

10

15

20

25

30

35

40

45

+

+

++

+

Decane

Dedecane

Tetradecane

Hexadecane

Isohexadecane

Figure 14.13 r3 versus time at 25 ◦C for nanoemulsions (O/W ratio 20/80) with hydrocar-bons of various alkyl chain lengths. System water-C12EO4-hydrocarbon (4 wt% surfactant).


Table 14.3 HLB temperature (THLB), droplet radius r, Ostwald ripening rate 𝜔 and oil solu-bility for nanoemulsions prepared using hydrocarbons with different alkyl chain length.

Oil THLB (◦C) r (nm) 𝝎 (1027 m3 s−1) C(∞) (ml ml−1)

Decane 38.5 59 20.9 710.0Dodecane 45.5 62 9.3 52.0Tetradecane 49.5 64 4.0 3.7Hexadecane 49.8 66 2.3 0.3Isohexadecane 43.0 60 8.0 —

hexadecane. A summary of the results is shown in Table 14.3, which also showsthe solubility of the oil C(∞).

As expected from the Ostwald ripening theory [LSW theory, Eq. (14.16)], the rateof Ostwald ripening decreases as the oil solubility decreases. Isohexadecane has arate of Ostwald ripening similar to that of dodecane.

As discussed before, it would be expected that the Ostwald ripening of anygiven oil should decrease on the incorporation of a second oil with a much lowersolubility. To test this hypothesis, nanoemulsions were created using hexadecane orisohexadecane, to which various proportions of a less-soluble oil, namely squalene,was added. The results using hexadecane showed a significant decrease in stabilityon the addition of 10% squalane, but this was considered due to coalescence ratherthan to an increase in the Ostwald ripening rate. In some cases, the addition of ahydrocarbon with a long alkyl chain can induce instability as a result of change inthe adsorption and conformation of the surfactant at the O/W interface.

In contrast to the results obtained with hexadecane, the addition of squalaneto the O/W nanoemulsion system based on isohexadecane showed a systematicdecrease in Ostwald ripening rate as the squalene content was increased. Theresults are included in Figure 14.14, which shows plots of r3 versus time fornanoemulsions containing varying amounts of squalane. The addition of squalaneup to 20% based on the oil phase showed a systematic reduction in ripeningrate (from 8.0 to 4.1× 1027 m3 s−1). It should be noted that when squalane alonewas used as the oil phase, the system was very unstable and showed creamingwithin 1 h. The results also showed that the surfactant used was unsuitable for theemulsification of squalane.

The effect of HLB number on nanoemulsion formation and stability was inves-tigated by using mixtures of C12EO4 (HLB= 9.7) and C12EO4 (HLB= 11.7). Twosurfactant concentrations (4 and 8 wt%) were used and the O/W ratio was kept at20/80. The data in Figure 14.15 showed that the droplet radius remained virtuallyconstant in the HLB range 9.7–11.0, after which there was a gradual increase in linewith increases in the HLB number of the surfactant mixture. All nanoemulsionsshowed an increase in droplet radius with time, except for the sample preparedat 8 wt% surfactant with an HLB number of 9.7 (100% C12EO4). Figure 14.16shows the variation of Ostwald ripening rate constant 𝜔 with the HLB number


0

5

10

15

r3⋅1

0−5

(nm

3)

20

25

0 25 50

Time (h)

75 100

Isohex / Sq. = 100/0

Isohex / Sq. = 98/2

Isohex / Sq. = 96/4

Isohex / Sq. = 94/6

Isohex / Sq. = 92/8

Isohex / Sq. = 80/20

Figure 14.14 r3 versus time at 25 ◦C for the system water-C12EO4-isohexadecane-squalane(20/80 O/W ratio and 4 wt% surfactant).

9.5 10.0 10.5 11.0

NHLB

11.5 12.0

20

r

30

60

80

100

120 S: 4 wt%S: 8 wt%

Figure 14.15 r versus HLB number at two different surfactant concentrations (O/W ratio20/80).

of the surfactant. The rate seemed to decrease with an increase of surfactantHLB number such that, when the latter was>10.5 the rate reached a low value(<4× 10−27 m3 s−1).

As discussed above, the incorporation of an oil-soluble polymeric surfactant thatadsorbs strongly at the O/W interface would be expected to cause a reductionin the Ostwald ripening rate. To test this hypothesis, an A-B-A block copolymerof poly(hydroxystearic acid) (PHS, the A chains) and PEO (the B chain) PHS-PEO-PHS (Arlacel P135) was incorporated in the oil phase at low concentrations(the ratio of surfactant to Arlacel was varied between 99 : 1 and 92 : 8). For thehexadecane system, the Ostwald ripening rate showed a decrease with the additionof Arlacel P135 surfactant at ratios lower than 94 : 6. Although similar results were


0

9.6 10.0 10.4 10.8 11.2 11.6 12.0

10

20

30

40

NHLB

𝜔⋅1

027, m

3·s

−1S: 4 wt%

S: 8 wt%

Figure 14.16 𝜔 versus HLB number in the system water-C12EO4-C12EO6-isohexadecane, attwo surfactant concentrations.

obtained using isohexadecane, at higher polymeric surfactant concentrations thenanoemulsion became unstable.

As mentioned above, nanoemulsions prepared using the PIT method are rela-tively polydisperse and generally give higher Ostwald ripening rates when comparedto nanoemulsions prepared using high-pressure homogenisation techniques. Totest this hypothesis, several nanoemulsions were prepared using a Microfluidizer(that can apply pressures in the range 5000–15 000 psi or 350–1000 bar). Using anoil : surfactant ratio of 4 : 8 and O/W ratios of 20/80 and 50/50, emulsions wereprepared first using the UltraTurrax, followed by high-pressure homogenisation(ranging from 1500 to 15 000 psi) The best results were obtained using a pressureof 15 000 psi (one cycle of homogenisation). The droplet radius was plotted versusthe oil : surfactant ratio, R(O/S), as shown in Figure 14.17.

For comparison, the theoretical radii values calculated by assuming that allsurfactant molecules are at the interface was calculated using the Nakajimaequation [1, 2],

r =(

3Mb

ANAv 𝜌a

)R +

(3𝛼Mb

ANAv 𝜌b

)+ d (14.17)

where Mb is the molecular weight of the surfactant, A is the area occupied by asingle molecule, NAv is Avogadro’s number, 𝜌a is the oil density, 𝜌b is the density ofthe surfactant alkyl chain, 𝛼 is the alkyl chain weight fraction, and d is the thicknessof the hydrated layer of PEO.

In all cases, there was an increase in nanoemulsion radius with increase inthe R(O/S). However, when using the high-pressure homogeniser the droplet sizecould be maintained at values below 100 nm at high R(O/S) values. With the PITmethod, there was a rapid increase in r with increase in R(O/S) when the latterexceeded 7.


2

0

50

100

150r (n

m) 200

250

300

Wm+Lα+o Wm+o

3 4 5 6 7 8 9 10

R (O/S)

11 12 13

PIT

H.pressure

Theoretical

r = 3.104 R + 1.529

Figure 14.17 r versus R(O/S) at 25 ◦C for the system water-C12EO4-hexadecane.Wm =micellar solution or O/W microemulsion; Lα = lamellar liquid crystalline phase; O= oilphase.

00

2

4

6

8

10

12

14

16

50 100 150 200

Time (h)

r3⋅1

0−5

(nm

3)

250 300 350

PIT

High pressure

Figure 14.18 r3 versus time for nanoemulsion systems prepared using the PIT andMicrofluidizer. 20/80 O/W ratio and 4 wt% surfactant.

As expected, the nanoemulsions prepared using high-pressure homogenisationshowed a lower Ostwald ripening rate when compared to systems prepared usingthe PIT method. This is illustrated in Figure 14.18, which shows plots of r3 versustime for the two systems.

14.5.3Nanoemulsions Based on Polymeric Surfactants

The use of polymeric surfactants to prepare nanoemulsions is expected to sig-nificantly reduce Ostwald ripening due to the high interfacial elasticity producedby the adsorbed polymeric surfactant molecules [26]. To test this hypothesis,several nanoemulsions were formulated using a graft copolymer of hydrophobi-cally modified inulin. The inulin backbone consists of polyfructose with a degree


of polymerisation>23; this hydrophilic backbone is hydrophobically modified byattachment of several C12 alkyl chains [27]. The polymeric surfactant (trade nameINUTEC SP1®) adsorbs with several alkyl chains that may be soluble in the oilphase or become strongly attached to the oil surface, leaving the strongly hydratedhydrophilic polyfructose loops and tails ‘‘dangling’’ in the aqueous phase. Thesehydrated loops and tails (with a hydrodynamic thickness>5 nm) provide an effectivesteric stabilisation.

Oil/water nanoemulsions were prepared using a two-step emulsification processwhere, in the first step, an O/W emulsion was prepared using a high-speed stirrer(UltraTurrax) [28]. The resulting coarse emulsion was subjected to high-pressurehomogenisation (Microfluidizer; Microfluidics, USA) where, in all cases, the pres-sure used was 700 bar and homogenisation was carried out for 1 min. The z-averagedroplet diameter was determined using PCS measurements, as discussed before.

Figure 14.19 shows plots of r3 versus t for nanoemulsions of the hydrocarbonoils that were stored at 50 ◦C. It can be seen that both paraffinum liquidum withlow and high viscosities gave almost a zero-slope, indicating the absence of Ostwaldripening in this case. This was not surprising as both oils have a very low solubilityand INUTEC SP1® was strongly adsorbed at the interface, giving a high elasticitythat reduced both the Ostwald ripening and coalescence. However, with the moresoluble hydrocarbon oils (namely isohexadecane) there was an increase in r3 with

Nano-emulsions 20:80 o/w - Hydrocarbons

0,00E+00

2,00E-21

4,00E-21

6,00E-21

8,00E-21

1,00E-20

r3 (

m3)

1,20E-20

1,40E-20

1,60E-20

1,80E-20

0,00E+00 5,00E+05 1,00E+06 1,50E+06 2,00E+06 2,50E+06 3,00E+06 3,50E+06

Time (s)

Isohexadecane Paraffinum Liquidum - low viscosity Paraffinum Liquidum - high viscosity

Figure 14.19 r3 versus t for nanoemulsions based on hydrocarbon oils.


time, giving an Ostwald ripening rate of 4.1× 10−27 m3 s−1. The ripening rate for thisoil was almost three orders of magnitude lower than that obtained with a nonionicsurfactant, namely laureth-4 (C12-alkylchain with 4 mol ethylene-oxide) when storedat 50 ◦C. This clearly showed the effectiveness of INUTEC SP1® in reducingOstwald-ripening, an effect that could be attributed to an enhancement of theGibbs dilational elasticity [26] that resulted from the multipoint attachment of thepolymeric surfactant with several alkyl groups to the oil droplets. This resulted in areduction of the molecular diffusion of the oil from the smaller to the larger droplets.

Figure 14.20 shows the results for the isopropylalkylate O/W nanoemulsions.As with the hydrocarbon oils, there was a significant reduction in the Ostwaldripening rate with increases in the alkyl chain length of the oil. The rate constantswere 1.8× 10−27, 1.7× 10−27, and 4.8× 10−28 m3 s−1, respectively.

Figure 14.21 shows the r3 –t plots for nanoemulsions based on natural oils.Although, in all cases, the Ostwald ripening rate was very low, a comparisonbetween squalene and squalane showed the rate to be relatively higher for squalene(unsaturated) than for squalane (lower solubility). The Ostwald ripening rates forthese natural oils are listed in Table 14.4.

Figure 14.22 shows the results based on silicone oils. Both, dimethicone andphenyl trimethicone give an Ostwald ripening rate close to zero, whereas cyclopen-tasiloxane gave a rate of 5.6× 10−28 m3 s−1.

Nano-emulsions 20:80 o/w - Isopropyl alkylate

0,00E+00

1,00E-21

2,00E-21

3,00E-21

r3 (m

3)

4,00E-21

5,00E-21

6,00E-21

7,00E-21

8,00E-21

9,00E-21

0,00E+00 5,00E+05 1,00E+06 1,50E+06 2,00E+06 2,50E+06 3,00E+06 3,50E+06

Time (s)

Isopropyl myristate Isopropyl palmitate Isopropyl stearate

Figure 14.20 r3 versus t for nanoemulsions based on isopropylalkylate.


Nano-emulsions 20:80 o/w - Natural oils

0,00E+00

1,00E-22

2,00E-22

3,00E-22

4,00E-22

r3 (

m3)

5,00E-22

6,00E-22

7,00E-22

8,00E-22

0,00E+00 5,00E+05 1,00E+06 1,50E+06 2,00E+06 2,50E+06 3,00E+06 3,50E+06

Time (s)

Squalene Squalane Ricinus communis Macadamia ternifolia Buxis chinensis

Figure 14.21 r3 versus t for nanoemulsions based on natural oils.

Table 14.4 Ostwald ripening rates for nanoemulsions based on natural oils.

Oil Ostwald ripening rate (m3 s−1)

Squalene 2.9× 10−28

Squalane 5.2× 10−30

Ricinus communis (castor oil) 3.0× 10−29

Macadamia ternifolia (macadamia nut) 4.4× 10−30

Buxis chinensis (jojoba) ∼0

Figure 14.23 shows the results for nanoemulsions based on esters, and theOstwald ripening rates are listed in Table 14.5. C12–15 alkylbenzoate appeared togive the highest ripening rate.

Figure 14.24 shows a comparison of two nanoemulsions based on polydecene,a highly insoluble nonpolar oil and PPG-15 stearyl ether which is relatively morepolar. Polydecene gave a low Ostwald ripening rate of 6.4× 10−30 m3 s−1 which wasone order of magnitude lower than that of PPG-15 stearyl ether (5.5× 10−29 m3 s−1).

The influence of adding glycerol (which is sometimes used in personal careformulations as a humectant) on the Ostwald ripening rate when preparingtransparent nanoemulsions was monitored by matching the refractive index of theoil and the aqueous phase (see Figure 14.25). In the case of the more insolublesilicone oil the addition of 5% glycerol did not cause any increase in ripening rate,whereas for the more soluble isohexadecane oil the ripening rate was increased.


Nano-emulsions 20:80 o/w - Silicone oils

0,00E+00

5,00E-22

1,00E-21

1,50E-21

r3 (

m3)

2,00E-21

2,50E-21

3,00E-21

0,00E+00 5,00E+05 1,00E+06 1,50E+06 2,00E+06 2,50E+06 3,00E+06 3,50E+06

Time (s)

Dimethicone (50cst) Phenyl trimethicone Cyclopentasiloxane

Figure 14.22 r3 versus t for nanoemulsions based on silicone oils.

Nano-emulsions 20:80 o/w - Esters

0,00E+00

5,00E-22

1,00E-21

1,50E-21

2,00E-21

r3 (

m3)

2,50E-21

3,00E-21

3,50E-21

0,00E+00 5,00E+05 1,00E+06 1,50E+06 2,00E+06 2,50E+06 3,00E+06 3,50E+06

Time (s)

Butyl stearate Caprilic/capric triglycerides Ethylhexyl palmitate Cetearyl ethylhexanoate

Cetearyl isononanoaat C12-15 Alkyl benzoate

Figure 14.23 r3 versus t for nanoemulsions based on esters.


Table 14.5 Ostwald ripening rates for nanoemulsions based on esters.

Oil Ostwald ripening rate (m3 s−1)

Butyl stearate 1.8× 10−28

Caprylic capric triglyceride 4.9× 10−29

Cetearyl ethylhexanoate 1.9× 10−29

Ethylhexyl palmitate 5.1× 10−29

Cetearyl isononanoate 1.8× 10−29

C12-15 alkyl benzoate 6.6× 10−28

Nano-emulsions 20:80 o/w

0,00E+00

1,00E-22

2,00E-22

3,00E-22

4,00E-22

5,00E-22

6,00E-22

0,00E+00 5,00E+05 1,00E+06 1,50E+06 2,00E+06 2,50E+06 3,00E+06 3,50E+06

Time (s)

PPG-15 Stearyl ether Polydecene

r3 (

m3)

Figure 14.24 r3 versus t for nanoemulsions based on PPG-15 stearyl ether and polydecene.

The hydrophobically modified inulin (INUTEC SP1®) was shown to reduce theOstwald ripening rate of nanoemulsions when compared to nonionic surfactantssuch as laureth-4. This was due to the strong adsorption of INUTEC SP1® atthe O/W interface (by multipoint attachment) and an enhancement of the Gibbsdilational elasticity, both of which effects reduced the diffusion of oil moleculesfrom the smaller to the larger droplets. The present study results also showed amajor influence of the nature of the oil phase, with the more soluble and more polaroils giving the highest Ostwald ripening rates. However in all cases when INUTECSP1® was used, the rates were reasonably low, allowing this polymeric surfactantto be applied to the formulation of nanoemulsions for personal care products.

References 299

Nano-emulsions 20:80 o/w - influence glycerol

0,00E+00

5,00E-21

1,00E-20

1,50E-20

r3 (

m3)

2,00E-20

2,50E-20

3,00E-20

3,50E-20

4,00E-20

4,50E-20

5,00E-20

0,00E+00 1,00E+06 2,00E+06 3,00E+06 4,00E+06 5,00E+06 6,00E+06 7,00E+06

Time (s)

Dimethicone Dimethicone/5% glycerol Isohexadecane Isohexadecane/5% glycerol

Figure 14.25 Influence of glycerol on the Ostwald ripening rate of nanoemulsions.

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formulation of disperse systems (science and technology) || formulation of nanoemulsions

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