I am trying to explain the oxidizing property of $\ce{Fe^3+}$ in $\ce{H2O}$ and $\ce{CN^-}$ which is $\ce{[Fe(H2O)6]^3+}$ and $\ce{[Fe(CN)6]^3-}$.
The electrochemical reactions along with their standard reduction potentials are: \begin{align} \ce{Fe^3+(aq) + e- &<=> Fe^2+(aq)} \qquad E^\circ = \pu{0.77 V} \tag1 \\ \ce{[Fe(CN)6]^3-(aq) + e- &<=> [Fe(CN)6]^4-(aq)} \qquad E^\circ = \pu{0.36 V} \tag2 \\ \end{align} and the higher the standard reduction potential, the higher the equilibrium constant. I deduce this from \begin{equation} \Delta_\mathrm{r}G^\circ = -nFE^\circ = -RT \ln K \tag3 \end{equation}
Which could also give the result that $\ce{Fe^3+}$ in water oxidizes stronger than when the ion is in cyanide medium. I want to ask whether we can deduce the same way by using the molecular orbital of two complexes mentioned above?
In this picture, instead of water, chloride ion could be used. So I am thinking of predicting oxidizing strength using the energy of HOMO and LUMO. Could I do this?
My thought was that the $t_\mathrm{2g}$ in cyanide complex is lowered in energy than that of the chloride complex. So, if the electron was to be accepted, then the cyanide complex is prone to accept better. However, the reduction potential speaks otherwise.