For a SC unit cell, plot the $3$ points $0,0,0$;$\frac{2}{3},1,1$;$0,\frac{2}{5},1.$ Connect the $3$ points to make a plane. Determine the Miller Indices for the specific plane and for the family of planes. $($hint if you want to use calculus:

Compute the interplanar spacing $($d spacing$)$ for alpha$-$iron $($choose the close$-$packed plane for alpha iron$).$ Assume atoms are hard spheres.

Using the ratio of ion radii and using the tables provided, determine the coordination number $($number of nearest neighbors$)$ and the void type for $MnS,CsBr,KI,$CaO,$KBr,$CsI. Also, write an explanation of what a void type is describing. $($link: