Question:
In the fcc structure, the number of tetrahedral holes per sphere is
In the fcc structure, the number of tetrahedral holes per sphere is
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An fcc cell has 4 spheres and 8 tetrahedral holes.
Updated On: Oct 1, 2026
- \(1\)
- \(4\)
- \(2\)
- \(8\)
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The Correct Option is C
Solution and Explanation
Step 1: Understanding the Concept:
An fcc (ccp) cell has 4 atoms per unit cell, and tetrahedral holes sit inside the cell at 8 positions.
Step 2: Detailed Explanation:
Tetrahedral holes per cell = 8. Atoms per cell = 4.
\[ \frac{8}{4} = 2 \]
So each sphere has 2 tetrahedral holes. Option (A) 1 is the octahedral count per sphere, and 4 and 8 are not ratios in this lattice.
Step 3: Final Answer:
Two tetrahedral holes per sphere, option (C).
Final Answer:
fcc has 8 tetrahedral holes for 4 spheres. \[ \boxed{\text{(C) }2} \]
An fcc (ccp) cell has 4 atoms per unit cell, and tetrahedral holes sit inside the cell at 8 positions.
Step 2: Detailed Explanation:
Tetrahedral holes per cell = 8. Atoms per cell = 4.
\[ \frac{8}{4} = 2 \]
So each sphere has 2 tetrahedral holes. Option (A) 1 is the octahedral count per sphere, and 4 and 8 are not ratios in this lattice.
Step 3: Final Answer:
Two tetrahedral holes per sphere, option (C).
Final Answer:
fcc has 8 tetrahedral holes for 4 spheres. \[ \boxed{\text{(C) }2} \]
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