|
Axonometric projections together with corresponding graphs for the first branch of
the family of tetra-hexa-cell equator fullerenes including some isomers are constructed in the
range from 20 to 60. Some of graphs were obtained earlier but the majority is given for the
first time. A unified approach for drawing axonometric projections of these fullerenes is used;
namely, it is the dimetric representation which symmetry coincides with that of a
corresponding graph. The growth of fullerenes is studied on the basis of two mechanisms,
according to which a carbon dimer embeds either in a hexagon or a pentagon of an initial
fullerene. This leads to stretching and breaking the covalent bonds which are parallel to
arising tensile forces. In both cases there arises a new atomic configuration and there is mass
increase of two carbon atoms. We considered direct descendents of the first branch of the
tetra-hexa-cell equator family beginning with C20; namely C22, C24,
C26, C28, C30, C32, C34,
C36, C38, C40, C42, C44, C46,
C48, C50, C52, C54, C56, C58,
and C60.
Keywords: carbon dimer, fullerene, graph, structure. |
full paper (pdf, 5072 Kb)