Irreducible bases in icosahedral group space
Abstract
The irreducible bases in the icosahedral group space are calculated explicitly by reducing the regular representation. The symmetry adapted bases of the system with I or Ih symmetry can be calculated easily and generally by applying those irreducible bases to wavefunctions of the system, if they are not vanishing. As examples, the submatrices of the H\"uckel Hamiltonians for Carbon-60 and Carbon-240 are re-calculated by the irreducible bases.
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