Chemistry - Solid State Question with Solution | TestHub

Consider an ionic solid$\mathrm{MX}$, with$\mathrm{NaCl}$structure. Construct a new structure$\left(\mathrm{Z}\right)$, whose unit cell is constructed from the unit cell of$\mathrm{MX}$, following the sequential instructions given below. Neglect the charge balance.
$\left(\mathrm{i}\right)$Remove all the anions$\left(\mathrm{X}\right)$, except the central one.
$\left(\mathrm{ii}\right)$Replace all the face centered cations$\left(\mathrm{M}\right)$, by anions$\left(\mathrm{X}\right)$.
$\left(\mathrm{iii}\right)$Remove all the corner cations$\left(\mathrm{M}\right)$.
$\left(\mathrm{iv}\right)$Replace the central anion$\left(\mathrm{X}\right)$, with cation$\left(\mathrm{M}\right)$.
The value of$\left(\frac{\mathrm{n}\mathrm{u}\mathrm{m}\mathrm{b}\mathrm{e}\mathrm{r}\mathrm{ }\mathrm{o}\mathrm{f}\mathrm{ }\mathrm{a}\mathrm{n}\mathrm{i}\mathrm{o}\mathrm{n}\mathrm{s}}{\mathrm{n}\mathrm{u}\mathrm{m}\mathrm{b}\mathrm{e}\mathrm{r}\mathrm{ }\mathrm{o}\mathrm{f}\mathrm{ }\mathrm{c}\mathrm{a}\mathrm{t}\mathrm{i}\mathrm{o}\mathrm{n}\mathrm{s}}\right)$in$\mathrm{Z}$is _____.