Pressure-area relations for Langmuir monolayers |
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Authors: | A.D. Drozdov L. Likhterov |
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Affiliation: | a Department of Chemical Engineering, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel b Institute for Applied Research, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel c Department of Biotechnology Engineering, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel |
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Abstract: | Pressure-area relations are derived for quasi-static compression of a Langmuir monolayer in the regimes of expanded and partially compressed chains. A monolayer is treated as an ensemble of flexible chains anchored at a flat water-air interface. Formation of surface pressure is attributed to excluded-volume interactions between segments of hydrophobic tail-groups. Close-form expressions are derived for the energy of interactions. Based on this relations, strength of excluded-volume interactions is evaluated by fitting pressure-area isotherms on stearic, behenic and pentacosadiynoic acids. It is found that the dimensionless strength of excluded-volume interactions is weakly affected by chain length and its value is close to . |
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Keywords: | Langmuir monolayer Flexible chains Excluded-volume interactions Pressure-area isotherms |
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