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Q. In a $fcc$ unit cell,
I. atoms are present at all the corners.
II. atoms are present at the centre of all the faces of the cube.
III. each atom at the face centre is shared between two unit cells.
Identify the correct statements.

The Solid State

Solution:

A $fcc$ unit cell contains $8$ atoms one at each corner having contribution $1 / 8$ and $6$ atoms one at each face having contribution $1 / 2$. Hence, atoms present at each face is shared between two unit cells.