THE BASIS FUNCTIONS AND THE MATRIX REPRESENTATIONS OF THE SINGLE AND DOUBLE ICOSAHEDRAL POINT GROUP

For the single and double icosahedral group, the matrix representations and the basis functions of the irreducible representations have been calculated. The basis functions are sought in real spherical harmonics (l less-than-or-equal-to 59) for the single group, and in spinors-composed of orbital angular momentum l and one-half spin (total momentum j less-than-or-equal-to 9/2 and l less-than-or-equal-to 4)-for the double group.