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Lattice Structure of Phospholipidic Molecular Domains at the Liquid–Gas Interface

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Abstract

We make a mathematical analysis of the structure of the two dimensional lattice formed by the centers of parallely aligned and arbitrarily oriented spherocylindrical phospholipidic molecules hexagonally packed in cylindrical domains forming a monomolecular Langmuir film at the liquid–gas interface. The analysis is carried out as a function of the tilting angle θ and the tilting azimuth φ. We give a number of expressions for the lattice radius vector, and introduce the Lattice Generating Operator. We also present a number of theorems dealing with the existence and characteristics of the common points of tangency, the double stationary points, the locus circles, and the envelop circles, related to the lattice sites.

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  1. Département de Physique, Université du Québec à Trois-Rivières, 3351 Boul. des Forges, Trois-Rivières, Québec, Canada, G9A 5H7

    Adel F. Antippa

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Antippa, A.F. Lattice Structure of Phospholipidic Molecular Domains at the Liquid–Gas Interface. Journal of Mathematical Chemistry 33, 195–225 (2003). https://doi.org/10.1023/A:1024790607868

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