Polycluster and Other Models

Triangular-square lattices are model 2-D structures made up of equilateral triangles and squares introduced and studied primarily by Collins [6.37]. Considerable progress in studying these structures was achieved then by Kawamura [6.38, 39]. 

Tetrahedric-octahedric structures that are in some sense 3-D analogs of 2-D triangular-square lattices were introduced and studied analytically by Ninomia 

Note that the 3-D model is considerably more complicated than its 2-D analog. It seems desirable to add this model with a consideration of cluster energetics (free energy) and to perform the natural generalization including the extended defects, i.e., dislocations and boundaries, as a result of which an example of polycluster structure would be obtained. 

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