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(B) The crystal field splitting energy $(\Delta_o)$ depends on the nature of the ligand,the oxidation state of the metal ion,and the principal quantum

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$[Ru(CN)_6]^{3-}$

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(B) The crystal field splitting energy $(\Delta_o)$ depends on the nature of the ligand,the oxidation state of the metal ion,and the principal quantum number of the metal ($d$-orbitals). $1$. Ligand strength: $CN^-$ is a strong field ligand,while $H_2O$ and $NH_3$ are weaker. $2$. Metal identity: For complexes with the same geometry and similar ligands,$\Delta_o$ increases down a group in the periodic table. $Ru$ is in the $4d$ series,while $Fe$ is in the $3d$ series. $3$. Oxidation state: Higher oxidation states generally lead to larger $\Delta_o$. Comparing the options,$[Ru(CN)_6]^{3-}$ involves a $4d$ metal $(Ru^{3+})$ and a very strong field ligand $(CN^-)$,which results in a significantly larger $\Delta_o$ compared to the $3d$ complexes $[Fe(H_2O)_6]^{3+}$,$[Fe(H_2O)_6]^{2+}$,and $[Fe(NH_3)_6]^{3+}$.

Of the following complexes,the one with the largest value of crystal field splitting energy is

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