A new method for electronic structure of the fullerene C20

A new method has been proposed to calculate the electronic structure of the fullerene C-20. Its k-adjacency matrix can be expressed as a polynomial of its 1-adjacency matrix, by use of this result we can calculate the Huckel energies and further the interactions of the pi electrons separated by 2-, 3-, 4- and 5-bonds for the dodecahedron C-20. This method has been also used to treat the other four molecules B-12(I-h), C-8(O-h), B-6(O-h) and C-4(T-d). (C) 1998 Elsevier Science B.V.