Question
In the fcc structure, the number of tetrahedral holes per sphere is
MHT CET
Chemistry
Solid State
2026
MHT CET 2026 (16 April Shift 1)
MHT CET Chemistry Question (2026) — Solution
Options
- A. 1
- B. 4
- C. 2
- D. 8
Answer
C. 2
Step-by-step solution
In a face-centered cubic (fcc) unit cell, the total number of atoms (spheres) is 4. The tetrahedral voids are located on the body diagonals of the cube. There are 4 body diagonals and each body diagonal contains 2 tetrahedral voids. Total number of tetrahedral voids in an fcc unit cell = 4 2 = 8. Number of tetrahedral holes per sphere = 8 4 = 2. Answer: 2
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