Correlations of spin states for icosahedral double group
  The irreducible bases of the group space of the icosahedral double groups {\bf I'} and {\bf I$_{h}'$} are calculated explicitly. Applying those bases on the spin states $|j,\mu>$, we present a simple formula to combine the spin states into the symmetrical adapted bases, belonging to a given row of a given irreducible representations of {\bf I'} and {\bf I$_{h}'$}. 
Shi-hai Dong, Xi-wen Hou and Zhong-qi Ma