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In an ionic compound the anion $(N^-)$ from cubic close type of packing,while the cation $(M^+)$ ions occupy one third of the tetrahedral voids.Deduce the empirical formula of the compound and the coordination number of $(M^+)$ ions.

$\begin{array}{1 1}M_2N_3,4\\M_3N_3,3\\MN_3,2\\M_2N_2,5\end{array} $

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