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    STUDIA CHEMIA - Issue no. 2 / 2003  
         
  Article:   CARBON ALLOTROPES WITH NEGATIVE CURVATURE.

Authors:  CSABA L. NAGY, MIRCEA V. DIUDEA.
 
       
         
  Abstract:  New allotropes of carbon, with various curvatures, have been theorized (and experimentally obtained) by replacing, in the graphite planar sheet, hexagons with other n-gons. When n < 6, the objects are finite, positively curved cages, as the classical spherical fullerenes. In case n > 6, the process results in either finite or infinite objects with negative curvature. Several well-known and new tilings with negative curvature are constructed and their topology discussed. Strain energy of an infinite lattice, with the repeat unit derived by iterating capra operation on the cube, is evaluated by the POAV1 approach.  
         
     
         
         
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