a. In the absorption spectrum of the complex ion
\(\mathrm{Cr}(\mathrm{NCS})_{6}^{3-}\) there is a band corresponding to the
absorption of a photon of light with an energy of \(1.75 \times 10^{4}
\mathrm{cm}^{-1}\). Given 1 \(\mathrm{cm}^{-1}=1.986 \times 10^{-23}
\mathrm{J},\) what is the wavelength of this photon?
b. The \(\mathrm{Cr}-\mathrm{N}-\mathrm{C}\) bond angle in
\(\mathrm{Cr}(\mathrm{NCS})_{6}^{3-}\) is predicted to be \(180^{\circ} .\) What
is the hybridization of the \(\mathrm{N}\) atom in the NCS - ligand when a Lewis
acid-base reaction occurs between \(\mathrm{Cr}^{3+}\) and \(\mathrm{NCS}^{-}\)
that would give a \(180^{\circ}\) \(\mathrm{Cr}-\mathrm{N}-\mathrm{C}\) bond
angle? \(\mathrm{Cr}(\mathrm{NCS})_{6}^{3-}\) undergoes substitution by
ethylenediamine (en) according to the equation
\(\mathrm{Cr}(\mathrm{NCS})_{6}^{3-}+2 \mathrm{en} \longrightarrow
\mathrm{Cr}(\mathrm{NCS})_{2}(\mathrm{en})_{2}^{+}+4 \mathrm{NCS}^{-}\)
Does \(\operatorname{Cr}(\mathrm{NCS})_{2}(\mathrm{en})_{2}^{+}\) exhibit
geometric isomerism? Does \(\mathrm{Cr}(\mathrm{NCS})_{2}(\mathrm{en})_{2}^{+}\)
exhibit optical isomerism?