Question

Thallium (I) chloride crystallises in either a SCC or FCC of $C{l}^{-}$ ion. The density of the solid is $8.9gc{m}^{-3}$ and edge of the unit cell is $3.95\times {10}^{-8}c{m}^{-3}$. Predict the type of unit cell.

[Molar mass of thallium chloride $=239.8gmo{l}^{-1}]$

Answer 1

$d=\frac{A.m}{a^3{N}_o}$

$9=Z\times 239.8/(9\times {10}^{-8})3\times 6.023\times {10}^{23}$

$Z=8.9\times 3.95\times 3.95\times 3.95\times {10}^{-24}\times 6.023\times {10}^{23}/239.8$

$Z=1.178$ or $1$

So, $TiCl$ is simple cubic.