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Calculate the number of atoms in fcc unit cell.

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Number of atoms in face-centred cubic (fcc) unit cell :

In this unit cell, there are 8 atoms at 8 corners and 6 atoms at 6 face centres.

Each comer contributes 1/8th atom to the unit cell, hence due to 8 corners,

∴ Number of atoms present in the unit cell = (1/8) X 8 = 1

Each face centre contributes half of the atom to the unit cell, hence due to 6 face centres,

Number of atoms =1/2 x 6 = 3.

Total number of atoms present in fcc unit cell = 1 + 3 = 4.

Hence the volume of the unit cell is equal to the volume of four atoms.

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