Q$3$:$(10$ Pnts$)$ Given

Caesium chloride $(CsCl)$ crystal with

lattice constant $4\mathrm{.}11A.$ CsCl takes

Body center cubic in the $[100]$

direction. The material build in the

$[111]$ direction and looks like the

given figure. Give the new lattice

constants with the relative position of

the basis inside the chosen unit cell.