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MHT CET Medical202625 April 2026Evening ShiftChemistrySolid StateActual

What is the total number of tetrahedral voids present in a single fcc unit cell?

Options

  1. A2
  2. B8
  3. C4
  4. D12

Correct answer

B. 8

Step-by-step solution

In an fcc unit cell, the effective number of atoms is Z = 4 . The number of tetrahedral voids in a close-packed structure is twice the number of effective atoms. Number of tetrahedral voids = 2Z = 2 4 = 8 . Alternatively, in an fcc unit cell, tetrahedral voids are located on the body diagonals. There are 4 body diagonals and each contains 2 tetrahedral voids. Total number of tetrahedral voids = 4 2 = 8 . Answer: 8

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