CONSTRUCTION OF THE QUASI-LATTICE STRUCTURE ACCORDING TO LOCAL EQUIVALENCE POSTULATE - PACKING OF HELICAL POLYMER-MOLECULES

The unperiodic quasi-lattice structure has been constructed of the helical polymer molecules starting from the interaction potentials of the molecules. The process of the construction is explained in detail. The construction is carried out according to the local equivalence postulate which requires that all pairs of the nearest neighbor molecules in the system are packed in the equivalent way. The construction is based on the symmetry of the molecules and not dependent on the shape of the potential function of each material. The obtained quasi-lattice structure is the ground state of the system. Both the one dimensionally unperiodic structure and the two dimensionally unperiodic structure are found. Geometric features of the quasi-lattice structure are investigated.