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W. Richard Bowen and Nidal Hilal 4

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96 3. QUANTIFICATION OF PARTICLE–BUBBLE INTERACTIONs<br />

Force, F/R (mN/m)<br />

A<br />

Force, F/R (mN/m)<br />

B<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

–150 –100 –50<br />

0<br />

0<br />

–0.2<br />

50 100 150 200 250 300<br />

–0.4<br />

–0.6<br />

–0.8<br />

–1<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

–0.4<br />

–0.6<br />

–0.8<br />

–1<br />

z-Displacement (nm)<br />

–150 –100 –50<br />

0<br />

0<br />

–0.2<br />

50 100 150 200 250 300<br />

z-Displacement (nm)<br />

FIGurE 3.6 Normalised force versus z-displacement curves obtained between aphrons<br />

created using SDS (A) <strong>and</strong> DTAB (B) in water. Each force curve is an average of several<br />

force–distance cycles (SDS � 10; DTAB � 9). In both cases a jump-in event is observed.<br />

However, when the glass sphere approaches the anionic SDS-stabilised aphron, a repulsive<br />

force is observed prior to contact, most likely due to repulsive (negative) charge interactions.<br />

When an identical glass probe approaches DTAB-stabilised aphrons, only attractive<br />

forces are seen prior to jump-in.<br />

Aphrons created in surfactant solutions which were either anionic<br />

sodium dodecyl sulfate (SDS) or cationic dodecyl trimethylammonium<br />

bromide (DTAB) by mixing at high sheer rates (with rotor speeds<br />

� 5000 rpm) were immobilised on hydrophobic HOPG <strong>and</strong> rinsed with<br />

an excess of high purity de-ionised water [49] to remove excess surfactant<br />

from solution. Aphrons were made in solutions with surfactant<br />

concentrations of 1 <strong>and</strong> 2 g l �1 for SDS <strong>and</strong> DTAB, respectively. Colloid<br />

probes consisting of glass spheres were then allowed to approach the<br />

surface of the aphrons (estimated bubble diameters were � 50 �m) <strong>and</strong><br />

the resultant interaction forces were measured. Figure 3.6 shows example<br />

force measurements obtained when approaching aphrons produced

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