Ordering and interactions

Two- and three-dimensional structures A, with homogeneous particles A and v acant B positions on the different positions of two- or three-dimensional l attices can be characterized by the numbers T-1 and T-2 of nearest and next -nearest neighbors of the same kind. A small number of structures at the bo rder of the T-1, T-2 structure map is stabilized by enthalpy compared to an increased number of entropy stabilized structures. The structures on the b order of the structure map are assembled by different principles as is outl ined for structure families of the two- or three-dimensional hexagonal net or the primitive hexagonal lattice. The repulsive, attractive or intermedia te interactions in different areas of the structure map can be correlated w ith the ordering of surfaces, colloids, polymeric chains and hydrophilic ma cromolecules.