A face centre atom corner atom in the hexagonal unit cell structure is shaped with:

4

unit cells

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3

unit cells

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6

unit cells

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None of the above

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Solution

The correct option is A $4$ unit cells
FCC unit cell means face centered crystal unit cell. It has atoms at face centered of it's basic cubic structure.
A cube has 8 corners and 6 faces.
Each atom at the corner contributes $\frac{1}{8}$ of itself to a particulat cubic crystal lattice.
$8 \times \frac{1}{8} = 1 a t o m$
Each atom at face center contributes $\frac{1}{2}$ of itself to a particular cubic crystal lattice.
$6 \times \frac{1}{2} = 3 a t o m s$
Total number of atoms in FCC lattice is $4$ atoms.

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