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Question

How many tetrahedral voids are occupied in diamond?


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Solution

Tetrahedral voids:

  1. The empty spaces that exist in crystal structures are known as voids. The different configurations of atoms allow these spaces to form.
  2. Tetrahedral voids are found between four spheres arranged in a tetrahedral pattern.
  3. When a sphere from the second layer is placed above the first layer's void, this void forms.
  4. Four atomic spheres surround a single triangular void or empty area in a crystal. As a result, the tetrahedral vacancy has a coordination number of four.
  5. Diamond's structure is ZnS type. All of the fcc lattice positions, as well as alternate tetrahedral voids, are occupied by carbon atoms.
  6. In the diamond, 50 percent of the tetrahedral spaces are filled.
  7. The total number of tetrahedral voids in the fcc unit cell=8, voids occupied by carbon in the diamond=4.

Therefore, the number of tetrahedral voids in diamond=4


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