Problem $2$

The unit cell for uranium $($U$)$ has orthorhombic symmetry, with $a,b,$ and $c$ lattice param$-$

eters of $0\mathrm{.}286,0\mathrm{.}587,$ and $0\mathrm{.}495nm,$ respectively. Uranium atomic radius and weight are

$0\mathrm{.}1385nm$ and $238\mathrm{.}03\frac{g}{m}ol,$ respectively. $(25$ Points$)$

If uranium's atomic packing factor is $0\mathrm{.}54,$ compute the number of atoms per cell $(n).$

Compute uranium's density $().$