Question

An element 'X' crystallizes in bcc. Find volume of unit cell in (Å), if atomic radius is 3
$\sqrt{3}$


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Answer 1

Answer:

4

Explanation:

The explanation is given in above pic....

Answer 2

Volume of unit cell is - 12 Å

Body-centered cubic lattice also known as BCC, contains lattice points at the eight corners of the unit cell and also at the center of the cell.

68 % of the volume is filled by spheres in the cube, in BCC unit cell.

Volume of unit cell, for BCC structure is -

a = 4r/√3

Atomic radius given in question is - 3√3 Å

Keeping atomic radius in formula to calculate volume -

a = 4*3√3/√3

Hence, a = 12 Å