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Self-Assembly of Synthetic and Biological Polymeric Systems of ...

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that they exert little force one on another. As the surface area <strong>of</strong> the monolayer is reduced,<br />

the hydrophobic chains <strong>of</strong> the molecules will begin to interact. The liquid state formed is<br />

generally called the exp<strong>and</strong>ed monolayer phase (E). At this stage, molecules at the water<br />

surface are in a r<strong>and</strong>om rather than in a regular orientation, with their polar groups in contact<br />

with the subphase. As the molecular area is progressively reduced, a condensed (C) phase may<br />

appear. In the condensed monolayer state the molecules are closely packed <strong>and</strong> are oriented<br />

with the hydrophobic groups pointing away from the water surface.<br />

Figure 2.3. Surface pressure-area isotherm for a chain organic monolayer.<br />

2.2.3.- Axisymetric drop shape analysis (ADSA)<br />

Axisymetric drop shape analysis (ADSA) is a drop shape technique for measuring the interfacial<br />

surface tension, γ. This method can be performed on the measured pr<strong>of</strong>iles <strong>of</strong> captive bubbles,<br />

sessile drops, pendant drops or bubbles. The principle <strong>of</strong> the technique is based on the<br />

determination <strong>of</strong> the drop shape by the balance between: i) the force <strong>of</strong> gravity which deforms<br />

the drop <strong>and</strong> ii) the surface tension which resists the deformation by minimizing the drop<br />

surface area (17). The relationship between these two forces is described by the Laplace<br />

equation (19):<br />

The Laplace equation is written in terms <strong>of</strong> the surface tension, , the principal radii <strong>of</strong> the<br />

drop, <strong>and</strong> , <strong>and</strong> the pressure difference across the curved interface, . The pressure<br />

drop has two contributions, , where is the pressure difference at a<br />

2.03<br />

31

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