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

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where w is the meniscus’ weight detected by the balance, is the contact angle defined by the<br />

meniscus shape on the wet platinum surface plate, <strong>and</strong> l is the width <strong>and</strong> d the plate thickness,<br />

respectively (Figure 2.1). Considering very small <strong>and</strong> the plate thickness negligible compared<br />

with its width, the former expression is simplified to:<br />

Figure 2.1. Illustration <strong>of</strong> a fully wet Wilhelmy plate in contact with an aqueous solution.<br />

2.2.2.- Monolayers <strong>and</strong> Langmuir-Blodgett films<br />

Many insoluble substances such as long chain fatty acids, alcohols, surfactants <strong>and</strong> polymers<br />

can be spread from a solvent onto water to form a one-molecule thick film, called monolayer.<br />

Molecules in a monolayer can be arranged in different ways, especially when they are closely<br />

packed, depending on the lateral forces between them (17). The obtention <strong>of</strong> surface<br />

pressure-area isotherms is one <strong>of</strong> the main methods used to study monolayer formation.<br />

Surface pressure, , is the reduction <strong>of</strong> the surface tension due to the presence <strong>of</strong> the<br />

monolayer: , where 0 is the surface tension <strong>of</strong> the solvent (usually water), <strong>and</strong> <br />

the surface tension <strong>of</strong> the system. Surface pressure-area isotherms are <strong>of</strong>ten measured for<br />

films/monolayers compressed using a Langmuir trough (Figure 2.2).<br />

In general, an insoluble substance is spread from a volatile solvent to ensure the formation <strong>of</strong> a<br />

uniform monolayer, <strong>and</strong> its area is controlled through a moveable barrier. The horizontal force<br />

necessary to maintain the float at a fixed position is measured using a torsion balance, which<br />

provides the surface tension values. Since only micrograms <strong>of</strong> materials are present in<br />

2.02<br />

29

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