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  4. The number of atoms contained in a fcc unit cell of a monoatomic substance is

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Q. The number of atoms contained in a $fcc$ unit cell of a monoatomic substance is

Rajasthan PETRajasthan PET 2010

Solution:

In a fcc unit cell, the number of corner atoms
$ =8\times \frac{1}{8}=1 $
( $ \because $ Each corner is shared with 8 other unit cells) The number of face atoms
$ =6\times \frac{1}{2}=3 $
Thus, the total number of atoms per unit cell $ =1+3=4 $