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

Question

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 (A) 314.20 pm (B) 1.41 pm (C) 200 pm (D) 216 pm

Tardigrade Admin · Accepted Answer

For bee structure d=(√3/2)a where d = distance between two atoms a = edge length 1.73=(√3/2)a a=(2×1.73/√3)=2 mathringA=200 pm

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

$314.20 p m$

$1.41 p m$

$200 p m$

$216 p m$

For bee structure
$d = \frac{3}{2} a$
where $d =$ distance between two atoms
$a =$ edge length
$1.73 = \frac{3}{2} a$
$a = \frac{2 \times 1.73}{3} = 2 \overset{˚}{A} = 200 p m$

Q. A solid has a ′bcc’ structure. If the distance of nearest approach between two atoms is 1.73A˚, the edge length of the cell is

314.20pm

1.41pm

200pm

216pm