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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