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


Adel F. Antippa
Journal of Mathematical Chemistry
vol. 33, nos. 3-4, pp. 195-225 (2003)

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 theta and the tilting azimuth phi. 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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