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MHT CET 202625 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
25 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Solid State

MHT CET 2026 · 25 April · Evening Shift · Chemistry · Solid State

What is the total number of tetrahedral voids present in a single...

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

Options

  1. A22
  2. B88
  3. C44
  4. D1212

Correct answer

B. 88

Step-by-step solution

In an fcc unit cell, the effective number of atoms is Z=4Z = 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=82Z = 2 \times 4 = 8.

Alternatively, in an fcc unit cell, tetrahedral voids are located on the body diagonals. There are 44 body diagonals and each contains 22 tetrahedral voids.

Total number of tetrahedral voids = 4×2=84 \times 2 = 8.

Answer: 88
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