The FCC crystal contains how many atoms in ea | vedclass

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(A) In a face-centered cubic $(FCC)$ unit cell,atoms are present at each of the $8$ corners and at the center of each of the $6$ faces.Each corner ato

Vedclass · Accepted Answer

$4$

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(A) In a face-centered cubic $(FCC)$ unit cell,atoms are present at each of the $8$ corners and at the center of each of the $6$ faces.Each corner atom is shared by $8$ adjacent unit cells,so its contribution is $8 	imes \frac{1}{8} = 1$.Each face-centered atom is shared by $2$ adjacent unit cells,so its contribution is $6 	imes \frac{1}{2} = 3$.Therefore,the total number of atoms per unit cell is $1 + 3 = 4$.

The $FCC$ crystal contains how many atoms in each unit cell?

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