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  4. A solid has a 'bcc’ structure. If the distance of nearest approach between two atoms is 1.73 mathringA, the edge length of the cell is

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Q. A solid has a $'bcc’$ structure. If the distance of nearest approach between two atoms is $1.73\mathring{A}$, the edge length of the cell is

AIEEEAIEEE 2012The Solid State

Solution:

For bee structure
$d=\frac{\sqrt{3}}{2}a$
where $d = $ distance between two atoms
$a =$ edge length
$1.73=\frac{\sqrt{3}}{2}a$
$a=\frac{2\times1.73}{\sqrt{3}}=2\mathring{A}=200\,pm$