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 $|j,μ>$, 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$_{h}'$}.
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