Using the symmetrized boson representation technique, concise algebraic exp
ressions of the irreducible bases symmetry adapted to the group chain I-h s
uperset of C-5 for the fullerene molecules C20H20, C-80, and C-240 are deri
ved for the most general cases and those for any specific case can be deriv
ed from them easily without a projection procedure. (C) 1999 John Wiley & S
ons, Inc. Int J Quant Chem 73: 283-297, 1999.