Question:
The number of atoms per unit cell in FCC is
The number of atoms per unit cell in FCC is
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In FCC, total atoms \(=8\times\frac{1}{8}+6\times\frac{1}{2}=4\).
Updated On: May 7, 2026
- \(4\)
- \(2\)
- \(1\)
- \(6\)
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The Correct Option is A
Solution and Explanation
FCC means face centered cubic unit cell.
In FCC, atoms are present at:
\[
\text{8 corners}
\]
and
\[
\text{6 face centers}.
\]
Each corner atom is shared by 8 unit cells.
So contribution from corner atoms is:
\[
8\times \frac{1}{8}=1.
\]
Each face-centered atom is shared by 2 unit cells.
So contribution from face-centered atoms is:
\[
6\times \frac{1}{2}=3.
\]
Therefore, total atoms per FCC unit cell:
\[
1+3=4.
\]
Hence, the number of atoms per unit cell in FCC is:
\[
4.
\]
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