Question
Is the $5\mathrm{d}$ orbital involved in the triiodide ion, $\ce{I3-}$?
There There are $5$ electron pairs around the central iodine.
Background
(Almost) all of the hypervalent compounds involve the most electronegative elements: $\ce{F}$, $\ce{O}$, $\ce{Cl}$.
Also, the bonds involving the electronegative elements are often almost ionic:
For sulfuric acid, computational analysis (with natural bond orbitals) confirms a clear positive charge on sulfur (theoretically $+2.45$) and a low $3\mathrm{d}$ occupancy.
So, we can say that $3\mathrm{d}$ is (almost) not involved in the central sulfur atom of sulfuric acid.
Is there any experimental data to show if $5\mathrm{d}$ is involved in the triiodide ion?