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    STUDIA CHEMIA - Issue no. 2 / 2008  
         
  Article:   BASIC TESSELLATIONS IN NANOSTRUCTURES.

Authors:  MIRCEA V. DIUDEA.
 
       
         
  Abstract:  
Basic tessellations in nanostructures, like the polyhex (6,3) and pattern, encountered in nanotubes and tori as well as the fullerene coverings derived from the Platonic solids can be performed by two main procedures, implemented in three original software programs developed at the TOPO Group Cluj: the cut procedure, suitable for tubular structures covering and the map operations, for spherical structures. Correspondence between Cluj-like and the classical notation of tubular structures is clearly demonstrated. Parameters of the transformed networks are given in terms of the primitive lattice vectors and original cage covering. Electronic structure of at the simple Hückel accounts for the metallic or insulating behavior of tubular structures. Covering criteria for metallic character in polyhex tori are derived from the network parameters. Formulas for the iterative operations on maps of vertex degree three are presented.
 
         
     
         
         
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