Question #44557

Consider two coordination isomers, $\mathbf{P}$ and $\mathbf{Q}$, both having the overall empirical formula $\ce{CoCu(NH3)4Cl4}$. \begin{itemize} \item In isomer $\mathbf{P}$, both metal centers are in the $+2$ oxidation state. The complex cation is a homoleptic ammine complex. \item In isomer $\mathbf{Q}$, the cobalt center is in the $+3$ oxidation state and has an octahedral geometry, while the complex anion is a homoleptic chlorido complex with a linear geometry. \end{itemize} Let $\mu_P$ and $\mu_Q$ be the effective spin-only magnetic moments of one formula unit of isomers $\mathbf{P}$ and $\mathbf{Q}$ respectively. The effective magnetic moment of a formula unit is given by $\mu_{eff} = \sqrt{\mu_{cation}^2 + \mu_{anion}^2}$. Assuming ideal crystal field behavior, what are the values of $\mu_P^2$ and $\mu_Q^2$ (in $\text{BM}^2$) respectively?