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MHT CET202616 April 2026Morning ShiftChemistrySolid StateActual

In the fcc structure, the number of tetrahedral holes per sphere is

Options

  1. A1
  2. B4
  3. C2
  4. D8

Correct 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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