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Colloid & Interface Science Case Study Model Answers Distance Learning Course in Cosmetic Science Society of Cosmetic Scientists Common Features • Formulations were examples of lyophobic colloidal systems • Dispersed and continuous phases are not compatible • Interfacial properties are relevant • Size of interfacial area is important • Van der Waals forces will play a role at the interface • We are creating new interface/interfacial area during the processing of the formulation • 2nd law of thermodynamics The interface Liquid ( ) Liquid ( ) A broad diffuse boundary region separates the two immiscible liquids Liquid ( The composition of the boundary region is not the same as the liquid/liquid or gas/solid interface. There is an abrupt transition from one phase to another at the point separating them ) Solid ( ) Characteristic Features Of Colloids • Surface-to-volume ratio (S/V) is high • Potentially, colloidal systems may have interfacial areas comparable in size to a football pitch! • 6 cm diameter jar containing 25 cm3 oil and 25 cm3 water respectively • Form emulsion droplets with a diameter of 0.0001 cm • New interfacial area created • 150,1681 cm2 (~150 m2) • S/V ratio: ~ 60,000 • 50,000 times increase in interfacial area! Surface Area/Volume Ratio (S/V) Volume = 25 cm3 S/ V ratio: variation with particle size 60000 d 50000 S/V Ratio 40000 30000 Oil 20000 10000 Water 0 0.0001 0.001 0.01 0.1 1 Particle diameter (cm) Area of oil/water interface: Area = p (d2/4) Add emulsifier and shake to form particles with a diameter of x cm: Pvol = (4/3) p (x3/8) Number of particles (N) = V/Pvol S/V Ratio = S/V Total surface area (S) = 4 p (d2/4) N V = volume of the continuous phase Feel the force…. • The stability of cosmetic and personal care formulations (lyophobic colloids) are influenced by the following intermolecular interactions: • Van der Waals attractive forces • Leads to product instability • Electrostatic and steric interactions • Stabilise the dispersion ‘Do not underestimate the power of the force….’ – Darth Vader Van der Waals Attractive Forces • Forces with the greatest effect are : • London Dispersion Forces or Universal Attractive Forces. • Keesom or Orientation Forces (Dipole-Dipole Interactions), e.g. hydrogen bonding • Debye Forces (Dipole Induced Dipole Interactions). • Magnitude of the interactions affect properties such as surface/interfacial tension Thermodynamics – The Fly In The Ointment • Energy changes (DG) during preparation of the dispersion is described by the 2nd law of thermodynamics DG = g A – TDS • • • g is the interfacial tension (emulsion), A is the ‘new’ interfacial area, T is temperature and DS is the entropy contribution (mixing) Driving force for instability is determined by the magnitude of DG. Reason why interfacial area plays an important role Energy Changes : Emulsion Stability Free Energy (G) Add emulsifiers to reduce interfacial tension and create ‘energy’ barrier (steric and electrostatic repulsions). Work needs to be done to overcome interactions (DE) DE Preferred pathway Rate is determined by the thinning and rupturing of the film separating the two droplets Two Droplets Film Rupture One Droplet Time (t) Routes To Instability - Kinetic Mechanisms Creaming Coalescence Colloidal dispersion Flocculation Sedimentation Stokes’ Law - Predicting Phase Separation For a spherical particle (dilute solution): Rate = x = 2r2 (rm - rp) g t 9hm hm = viscosity of the continuous phase rm = density of continuous phase rp = density of dispersed phase r = radius of spherical particle t = time taken to move specified distance (x) g = acceleration due to gravity Relevance – suspending pearlescent agents or pigments in cosmetic formulations Stokes’ Law - Problem Solving • Phase separation prevented by determining the mechanism • Matching the density of the dispersed and continuous phase – ensure Dr is small • ‘Weighting’ the oil phase (changing the density) • Increasing the viscosity • Surfactant system (phase behaviour) • Polymers • Inorganics (clays, silicas) Case Studies – Main Points To Remember • Shower gel & Liquid Foundation Formulations • Krafft point (viscosity problem) – anionic surfactants • Alkyl sulphates are prone to become insoluble at low temperatures • Use hydrotrope • Variation of viscosity with temperature • Micelle shape changes • Loss of rod micelle network (shower gel/shampoo) • Packing of the surfactant molecules within the micelle Case Studies – Main Points To Remember • Foaming problems caused by creaming of the conditioner from the formulation • Will behave as an antifoam • How can we stop the problem? • Understand the properties of foam • Lyophobic colloidal dispersion • Polydisperse bubbles (cells) • Pressure differences (Laplace) are important • Drainage mechanisms (gravity, pressure pump) What is foam ? • • Dispersion of a gas in a liquid Trap gas by mechanical action (agitation) • Can be a problem (industrial processes) • Not stable (lyophobic colloid)…. • Foam is a collection of bubbles • Stabilise using surface active agents – surfactants, polymers, particulates Life Cycle Of Foams Time Gas bubbles trapped in liquid Liquid drains from the films surrounding the gas bubbles (honeycomb structure) Polyhedral structure is eventually formed Foam Instability • Gravitational force - drainage • Capillary pressure (squeeze liquid from film separating bubbles) – liquid flows to regions of low pressure, i.e. separating cells (Plateau regions) • Diffusion of gas across foam lamellae (bubble disproportionation) • Leads to bursting of bubbles and rearrangement of foam lamellae Foam Persistance • Prevent drainage and diffusion of gas across foam lamellae (increase viscosity or retard fluid drainage by presence of liquid crystals) • Polyelectrolytes bind to surfactant at interface – impart mechanical rigidity • Close packing of surfactants at the interface • Maintain low interfacial tension • Ionic surfactants (electrostatics) – can be screened by electrolytes and affect stability • Annealing of foam lamellae by surfactant (GibbsMarangoni effect) • Maintain equililibrium interfacial tension – foams can be deformed, i.e. stretchy Film Elasticity (e) - Gibbs Marangoni Effect (Rubber Band) - - - - - - - - - - g1 - - - f - - • A =Area • g = Surface tension f g1 - - dA g1 - - - dg - - ε = 2A - g2 g1 • Gravity thins lamellae • Gibbs-Marangoni effect (combination of two separate processes) restores equilibrium (fills holes in the film) - lowers surface tension • Concentration dependent (migration of surfactant to the interface from bulk solution) Foam Prevention - Antifoams Air Liquid Air Oil Oil Oil spreads on the film and displaces surfactants gO/L << gSurface Film thins and ruptures – result of change in interfacial tension between film and oil Foam collapses Spreading What happens when an oil drop is placed on a clean liquid surface? Remains as a drop (lens on the surface) gGL gOG Gas Oil gOL Liquid Or spreads as a thin (duplex) film Gas Liquid Oil layer Spreading • What happens when a liquid droplet (oil) is placed on a surface? S is -ve S is + ve O q • It can reside as a droplet or…. • Form a thin layer (spreading) • The contact angle (q) of the fluid in contact with the surface will change over time • We can predict whether the droplet will spread on the surface by considering the Initial Spreading Coefficient (S) interfacial tension (g) S = gGS - (gOG + gOS ) The surface tension of the fluid (gOG) <<< critical surface tension (CFT (gGS)) for the liquid to spread along the interface (liquid or solid) Characteristic Features Of Colloids • The dispersed phase has an affect on the properties of the formulation, e.g. rheology or the phase volume (emulsions) Monodisperse system (uniform droplets) : phase volume ~ 0.75 max Polydisperse system (non-uniform droplets): phase volume > 0.75 Characteristic Features Of Colloids • Size matters! • Large oil droplets Oil droplets (macroemulsions) forms occlusive layer on surface of the substrate (e.g. skin) – delivery triggered by Stratum rubbing corneum • Small oil droplets (microemulsions) penetrate surface of skin • Improve deposition of silicones on hair, e.g. polydimethylsiloxane (PDMS) • Increase molecular weight (viscosity) or use cationic emulsifiers • Tailor particle size distribution • Increase particle size to improve deposition • Deposition is poor for very small particulate sizes (microemulsions) though can be improved by presence of cationic polyelectrolytes and anionic surfactants (coacervates) Case Studies – Main Points To Remember • Cosmetic foundation • Flocculation caused by insufficient dispersion of the solid particulates • Reduce particle size • Interfacial properties become critical • S/V ratio increases • Need to appreciate how dispersions behave and are made! • Wetting of the interface • Dispersant choice (anionic vs nonionic surfactants, or polymers) • Steric vs electrostatic stabilisation Properties Of Colloidal Dispersions Increase in surface area leads to better absorption properties, e.g. sunscreens © BASF Dispersion • Surfactant (dispersant) wets the surface of the solid and displaces any adsorbed fluids, e.g. gas. • Solid disperses more readily in liquid. Solid not wetted by surfactant Wetting • Why does a droplet of water refuse to form a film on a greasy surface? • What causes a material to absorb a fluid, whilst another repels it? • We are dealing with the properties of the interface and… • Balancing the ‘driving’ forces of cohesion and adhesion • Cohesive forces are result of the Van der Waals interactions between the molecules in the liquid • Adhesive forces are the result of Van der Waals interactions between the molecules residing at the interface, i.e. fluid and substrate • Wetting is purely: Adhesion >> Cohesion Wetting • Wetting is the displacement from a surface of one fluid by another • Involves three phases - at least two must be fluids (liquid or gas) or a solid • Wetting must take place before: • Spreading, dispersing and emulsification, e.g. detergency (cleansing) Wetting – the Young Equation Spreading and wetting can be explained by the Young equation (1800’s). gOL Liquid (or air) gSL At equilibrium: Oil q Substrate gOS + gOLCOS q - gSL = 0 gOS q = contact angle g = surface tension Pigment Dispersions Input of energy – high shear, grinding, milling Breakdown of agglomerates Aggregates of primary particles Initial wetting of agglomerates by dispersant Primary pigment particles Increase in interfacial area Electrostatic Interactions – The Electrical Double Layer Electric Potential (Y) Surface potential Stern layer Cation -ve Zeta potential (z) Distance (x) Zeta potential (z) Boundary of double layer in contact with the solution (‘slipping plane’) Stern layer Surface potential Electrical double layer described by Guoy Chapman or Stern models z – magnitude affected by pH DLVO Theory – Electrostatic Stabilisation Potential energy (VT) +ve VR Repulsive electrostatic (electrical double layer) interactions A X B Resultant interaction Energy barrier Particle Separation (X) Vv Van der Waals attractive interactions Primary minimum -ve VT = Vv + VR Steric Stabilisation - Oil In Water (O/W) Emulsion Polymer chains act as ‘barrier’ to coalescence. Oil Oil droplets stabilised by anchored polymer chains Oil Steric Stabilisation – Performance Engineering Molecular weight and chemical structure are important • • • • • • • • Dispersing agents Anchor to substrate to provide stability (hydrophobic or ionic interactions with surface) Conformation is important (loops & tails) Electrostatic/steric stabilisation Select dispersant for the application, e.g. molecular weight Problems: Poor adsorption (solvent quality), e.g. depletion flocculation • Particle size is very small, bridging flocculation may become an issue – assess particle size distribution (photon correlation spectroscopy (PCS) ‘Comb’ polymer Pigment Reduce particle size Bridging flocculation Steric Stabilisation – Conformation Effects Tail Loop Water phase Oil phase Train Hydrophobic group Steric Stabilisation – Conformation Effects Polymer ‘mushroom’ Radius of gyration Polymer ‘brush’ Polymer chains extend into solvent owing to interactions with neighbouring molecules at high concentrations HO Limited penetration of the polymer chains occurs during collision Adsorbed layers of polymer are fully extended into the solvent H1 Compression of the polymer chains prevents the particles from coalescing and flocculating Solvent concentration gradient between bulk phase and adsorbed polymer layer. Polymer prefers solvent and particles are forced to part, allowing the chains to be solvated Steric Stabilisation - Solvent Effects ‘The Good, The Bad And The Theta!’ ‘Good’ solvent ‘Bad’ solvent • ‘Good’ solvent • Polymer chain segments extended in solvent producing an open configuration (polymer is miscible). • ‘Bad’ solvent • Polymer chain collapses into a more compact form. • Transition occurs at the theta (q) temperature • Polymer separates from solution, e.g. cloud point of PEGs Stabilisation Method – Pro’s and Cons Electrostatic Steric Need to add stabilising agent (polymer) n Not reversible n Sensitive to temperature changes (solvent quality) n Operates in aqueous and non-aqueous systems n Easier to control n Reversible n Change ionic strength n Predominantly aqueous based n The Krafft Point • The Krafft phenomena is the temperature dependent solubility of ionic surfactants • Below the Krafft point the surfactant exists as hydrated crystals - turbid appearance at low temperature • Krafft point increases with increasing chain length • Addition of salting out electrolytes increases the Krafft point The Krafft Point • Krafft point is lowered by branched chains • Unsaturation (double bonds) • Insertion of EO groups between alkyl chain and the head group - alkyl ether sulphates have lower Krafft points than alkyl sulphates • Hydrotropes - enhance solubility of surfactants in water, e.g aryl sulphonates, short chain (C8/10 phosphate ester, APG...), amphoteric surfactants Summary • Use principles of colloid and surface chemistry to solve the problem • Identify causes and their effect on the formulation – evaluate/performance indicators • Problems can be caused by more than one process • Need to bear in mind…. ‘Nae cannae change the laws of physics’ Montgomery Scott Thermodynamics rules ok! Solutions… • More than one solution…. • Increase the viscosity of the continuous phase • Polymers, surfactants…. • Adapt the formulation e.g. Krafft point, tolerant to water hardness… • Reduce level of oils (emollients) if they are suspected of acting as a defoamer or remove them completely • Replace immiscible components, e.g. compatibility issues • Evaluate performance (rheology, tests…) • Carry out storage tests… Summary • Use the INCI listings on back of products as a guide • Review patents • Raw materials - careful selection what you put in is what you get out! • Contact raw material manufacturers! www.solvay.com