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104  A. R. HEMSLEY AND P. C. GRIFFITHS



                               The maximum in the potential corresponds to the barrier to aggregation –
                               the inherent stability of the dispersion. If this barrier is larger than the
                               thermal energy kT, the dispersion will be stable.


                               6.2.2 Creating pattern from instability
                               The stability of colloids can also be dramatically altered by inclusion of
                               polymeric materials. If the polymer interacts favourably with the particle
                               surfaces, i.e. it ‘adsorbs’, then both an increase and a reduction in stability
                               is possible, via modification of the electrostatic interaction of the polymer
                               is charged or a reduction in the van der Waals attraction.
                                  The polymer layers, however, also introduces new contributions to the
                               overall interaction between the particles. As two particles approach one
                               another, compression of the polymer layer may occur which is unfavour-
                               able. Associated with this compression, is an increase in the local polymer
                               concentration – this can be favourable or unfavourable depending on the
                               solubility of the polymer.
                                  If the polymer layers increases the stability of the dispersion, it is
                               denoted ‘steric stabilisation’. The polymer must fulfil two key criteria; (i)
                               the polymer needs to be of sufficient coverage to coat all the particle sur-
                               faces with a dense polymer layer, and (ii) the polymer layer is firmly
                               attached to the surface. How this is engineered is beyond the scope of this
                               article, but the consequences of not satisfying these criteria are informa-
                               tive in understanding the effect that polymers have on the overall interpar-
                               ticle interaction. Since complete or incomplete coverage of the particles
                               results in very different properties (i.e stability or instability), this is clearly
                               one way in which minimal change in initial conditions can lead to major
                               differences in product.
                                  The presence of insufficient but very large polymers can also reduce
                               the stability. When the particles attain a separation such that the polymer
                               layers on an adjacent particles may bridge between the particles, a favour-
                               able interaction occurs and a loss of stability ensues. This is termed bridg-
                               ing flocculation.
                                  A non-adsorbing polymer in solution can also destabilise a dispersion
                               through a mechanism called depletion flocculation. When polymer mole-
                               cules do not interact favourably with the particle surfaces from an enthal-
                               pic perspective, they are repelled from the surface regions due to entropic
                               reasons. A ‘depletion zone’ around the particles is created which has a
                               lower average polymer concentration than the bulk solution. The osmotic
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